Statements (99)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:alsoKnownAs |
E6 over field of 2 elements
E6(2) |
| gptkbp:field |
finite field of 2 elements
|
| gptkbp:groupFamily |
E6 family
|
| gptkbp:hasCentralizerOfInvolution |
2 × F4(2)
|
| gptkbp:hasMaximalSubgroup |
2^1+20:U6(2)
2^10:O_10^-(2) 2^11:O_11(2) 2^12:O_12^-(2) 2^13:O_13(2) 2^14:O_14^-(2) 2^15:O_15(2) 2^16:O_16^-(2) 2^17:O_17(2) 2^18:O_18^-(2) 2^19:O_19(2) 2^20:O_20^-(2) 2^21:O_21(2) 2^22:O_22^-(2) 2^23:O_23(2) 2^24:O_24^-(2) 2^25:O_25(2) 2^26:O_26^-(2) 2^27:O_27(2) 2^28:O_28^-(2) 2^29:O_29(2) 2^30:O_30^-(2) 2^31:O_31(2) 2^32:O_32^-(2) 2^33:O_33(2) 2^34:O_34^-(2) 2^35:O_35(2) 2^36:O_36^-(2) 2^37:O_37(2) 2^38:O_38^-(2) 2^39:O_39(2) 2^40:O_40^-(2) 2^41:O_41(2) 2^42:O_42^-(2) 2^43:O_43(2) 2^44:O_44^-(2) 2^45:O_45(2) 2^46:O_46^-(2) 2^47:O_47(2) 2^48:O_48^-(2) 2^49:O_49(2) 2^50:O_50^-(2) 2^51:O_51(2) 2^52:O_52^-(2) 2^53:O_53(2) 2^54:O_54^-(2) 2^55:O_55(2) 2^56:O_56^-(2) 2^57:O_57(2) 2^58:O_58^-(2) 2^59:O_59(2) 2^5:O_5(2) 2^5:U6(2) 2^60:O_60^-(2) 2^61:O_61(2) 2^62:O_62^-(2) 2^63:O_63(2) 2^64:O_64^-(2) 2^65:O_65(2) 2^66:O_66^-(2) 2^67:O_67(2) 2^68:O_68^-(2) 2^69:O_69(2) 2^6:U3(2) 2^6:U4(2) 2^70:O_70^-(2) 2^71:O_71(2) 2^72:O_72^-(2) 2^73:O_73(2) 2^74:O_74^-(2) 2^75:O_75(2) 2^76:O_76^-(2) 2^77:O_77(2) 2^78:O_78^-(2) 2^7:O_6^+(2) 2^7:O_7(2) 2^8:O_8^+(2) 2^8:O_8^-(2) 2^9:O_9(2) F4(2) L2(2) L3(2) O_10^+(2) S_8(2) U6(2) |
| gptkbp:hasOuterAutomorphismGroupOrder |
2
|
| gptkbp:hasSchurMultiplierOrder |
1
|
| https://www.w3.org/2000/01/rdf-schema#label |
E 6(2)
|
| gptkbp:isSimple |
true
|
| gptkbp:order |
2,019,918,489,664,000
|
| gptkbp:relatedGroup |
Lie type
|
| gptkbp:bfsParent |
gptkb:E_6_Lie_algebra
|
| gptkbp:bfsLayer |
8
|