Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xD₁₂

Direct product G=NxQ with N=C₆ and Q=C₂xD₁₂

		d	ρ	Label	ID
C₂xC₆xD₁₂		96		C2xC6xD12	288,990

Semidirect products G=N:Q with N=C₆ and Q=C₂xD₁₂

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(C₂xD₁₂) = C₂xS₃xD₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48	C6:1(C2xD12)	288,951
C₆:₂(C₂xD₁₂) = C₂²xC₁₂:S₃	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144	C6:2(C2xD12)	288,1005
C₆:₃(C₂xD₁₂) = C₂²xC₃:D₁₂	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48	C6:3(C2xD12)	288,974

Non-split extensions G=N.Q with N=C₆ and Q=C₂xD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xD₁₂) = S₃xC₂₄:C₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48	4	C6.1(C2xD12)	288,440
C₆.₂(C₂xD₁₂) = S₃xD₂₄	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48	4+	C6.2(C2xD12)	288,441
C₆.₃(C₂xD₁₂) = C₂₄:₁D₆	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48	4+	C6.3(C2xD12)	288,442
C₆.₄(C₂xD₁₂) = D₂₄:S₃	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48	4	C6.4(C2xD12)	288,443
C₆.₅(C₂xD₁₂) = S₃xDic₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96	4-	C6.5(C2xD12)	288,447
C₆.₆(C₂xD₁₂) = C₂₄.₃D₆	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96	4-	C6.6(C2xD12)	288,448
C₆.₇(C₂xD₁₂) = Dic₁₂:S₃	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48	4	C6.7(C2xD12)	288,449
C₆.₈(C₂xD₁₂) = D₆.₁D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48	4	C6.8(C2xD12)	288,454
C₆.₉(C₂xD₁₂) = D₂₄:₇S₃	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96	4-	C6.9(C2xD12)	288,455
C₆.₁₀(C₂xD₁₂) = D₆.₃D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48	4+	C6.10(C2xD12)	288,456
C₆.₁₁(C₂xD₁₂) = Dic₃.D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.11(C2xD12)	288,500
C₆.₁₂(C₂xD₁₂) = Dic₃:₄D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.12(C2xD12)	288,528
C₆.₁₃(C₂xD₁₂) = Dic₃:D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.13(C2xD12)	288,534
C₆.₁₄(C₂xD₁₂) = S₃xC₄:Dic₃	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96		C6.14(C2xD12)	288,537
C₆.₁₅(C₂xD₁₂) = D₆.D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.15(C2xD12)	288,538
C₆.₁₆(C₂xD₁₂) = D₆.₉D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96		C6.16(C2xD12)	288,539
C₆.₁₇(C₂xD₁₂) = Dic₃xD₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96		C6.17(C2xD12)	288,540
C₆.₁₈(C₂xD₁₂) = D₆:₂Dic₆	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96		C6.18(C2xD12)	288,541
C₆.₁₉(C₂xD₁₂) = Dic₃:₅D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.19(C2xD12)	288,542
C₆.₂₀(C₂xD₁₂) = C₆².₆₅C₂³	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.20(C2xD12)	288,543
C₆.₂₁(C₂xD₁₂) = D₆:D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.21(C2xD12)	288,554
C₆.₂₂(C₂xD₁₂) = D₆:₂D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96		C6.22(C2xD12)	288,556
C₆.₂₃(C₂xD₁₂) = C₁₂:₇D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.23(C2xD12)	288,557
C₆.₂₄(C₂xD₁₂) = Dic₃:₃D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.24(C2xD12)	288,558
C₆.₂₅(C₂xD₁₂) = C₁₂:D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.25(C2xD12)	288,559
C₆.₂₆(C₂xD₁₂) = C₁₂:₃Dic₆	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	96		C6.26(C2xD12)	288,566
C₆.₂₇(C₂xD₁₂) = S₃xD₆:C₄	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.27(C2xD12)	288,568
C₆.₂₈(C₂xD₁₂) = D₆:₄D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.28(C2xD12)	288,570
C₆.₂₉(C₂xD₁₂) = D₆:₅D₁₂	φ: C₂xD₁₂/D₁₂ → C₂ ⊆ Aut C₆	48		C6.29(C2xD12)	288,571
C₆.₃₀(C₂xD₁₂) = C₃₆:₂Q₈	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	288		C6.30(C2xD12)	288,79
C₆.₃₁(C₂xD₁₂) = C₄xD₃₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.31(C2xD12)	288,83
C₆.₃₂(C₂xD₁₂) = C₄²:₆D₉	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.32(C2xD12)	288,84
C₆.₃₃(C₂xD₁₂) = C₄²:₇D₉	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.33(C2xD12)	288,85
C₆.₃₄(C₂xD₁₂) = C₂²:₃D₃₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	72		C6.34(C2xD12)	288,92
C₆.₃₅(C₂xD₁₂) = C₂².₄D₃₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.35(C2xD12)	288,96
C₆.₃₆(C₂xD₁₂) = C₄:D₃₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.36(C2xD12)	288,105
C₆.₃₇(C₂xD₁₂) = D₁₈:₂Q₈	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.37(C2xD12)	288,107
C₆.₃₈(C₂xD₁₂) = C₂xDic₃₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	288		C6.38(C2xD12)	288,109
C₆.₃₉(C₂xD₁₂) = C₂xC₇₂:C₂	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.39(C2xD12)	288,113
C₆.₄₀(C₂xD₁₂) = C₂xD₇₂	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.40(C2xD12)	288,114
C₆.₄₁(C₂xD₁₂) = D₇₂:₇C₂	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144	2	C6.41(C2xD12)	288,115
C₆.₄₂(C₂xD₁₂) = C₈:D₁₈	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	72	4+	C6.42(C2xD12)	288,118
C₆.₄₃(C₂xD₁₂) = C₈.D₁₈	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144	4-	C6.43(C2xD12)	288,119
C₆.₄₄(C₂xD₁₂) = C₂xC₄:Dic₉	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	288		C6.44(C2xD12)	288,135
C₆.₄₅(C₂xD₁₂) = C₂xD₁₈:C₄	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.45(C2xD12)	288,137
C₆.₄₆(C₂xD₁₂) = C₃₆:₇D₄	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.46(C2xD12)	288,140
C₆.₄₇(C₂xD₁₂) = C₂²xD₃₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.47(C2xD12)	288,354
C₆.₄₈(C₂xD₁₂) = C₁₂:₆Dic₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	288		C6.48(C2xD12)	288,726
C₆.₄₉(C₂xD₁₂) = C₄xC₁₂:S₃	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.49(C2xD12)	288,730
C₆.₅₀(C₂xD₁₂) = C₁₂:₄D₁₂	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.50(C2xD12)	288,731
C₆.₅₁(C₂xD₁₂) = C₁₂²:₆C₂	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.51(C2xD12)	288,732
C₆.₅₂(C₂xD₁₂) = C₆²:₁₂D₄	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	72		C6.52(C2xD12)	288,739
C₆.₅₃(C₂xD₁₂) = C₆².₆₉D₄	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.53(C2xD12)	288,743
C₆.₅₄(C₂xD₁₂) = C₁₂:₃D₁₂	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.54(C2xD12)	288,752
C₆.₅₅(C₂xD₁₂) = C₁₂.₃₁D₁₂	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.55(C2xD12)	288,754
C₆.₅₆(C₂xD₁₂) = C₂xC₂₄:₂S₃	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.56(C2xD12)	288,759
C₆.₅₇(C₂xD₁₂) = C₂xC₃²:₅D₈	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.57(C2xD12)	288,760
C₆.₅₈(C₂xD₁₂) = C₂₄.₇₈D₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.58(C2xD12)	288,761
C₆.₅₉(C₂xD₁₂) = C₂xC₃²:₅Q₁₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	288		C6.59(C2xD12)	288,762
C₆.₆₀(C₂xD₁₂) = C₂₄:₃D₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	72		C6.60(C2xD12)	288,765
C₆.₆₁(C₂xD₁₂) = C₂₄.₅D₆	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.61(C2xD12)	288,766
C₆.₆₂(C₂xD₁₂) = C₂xC₁₂:Dic₃	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	288		C6.62(C2xD12)	288,782
C₆.₆₃(C₂xD₁₂) = C₂xC₆.₁₁D₁₂	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.63(C2xD12)	288,784
C₆.₆₄(C₂xD₁₂) = C₆²:₁₉D₄	φ: C₂xD₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₆	144		C6.64(C2xD12)	288,787
C₆.₆₅(C₂xD₁₂) = C₂xC₃:D₂₄	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.65(C2xD12)	288,472
C₆.₆₆(C₂xD₁₂) = D₁₂:₁₈D₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	24	4+	C6.66(C2xD12)	288,473
C₆.₆₇(C₂xD₁₂) = C₂xD₁₂.S₃	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	96		C6.67(C2xD12)	288,476
C₆.₆₈(C₂xD₁₂) = D₁₂.₂₇D₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48	4	C6.68(C2xD12)	288,477
C₆.₆₉(C₂xD₁₂) = D₁₂.₂₈D₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48	4	C6.69(C2xD12)	288,478
C₆.₇₀(C₂xD₁₂) = D₁₂.₂₉D₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48	4-	C6.70(C2xD12)	288,479
C₆.₇₁(C₂xD₁₂) = C₂xC₃²:₅SD₁₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.71(C2xD12)	288,480
C₆.₇₂(C₂xD₁₂) = Dic₆.₂₉D₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48	4	C6.72(C2xD12)	288,481
C₆.₇₃(C₂xD₁₂) = C₂xC₃²:₃Q₁₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	96		C6.73(C2xD12)	288,483
C₆.₇₄(C₂xD₁₂) = D₆:₇Dic₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	96		C6.74(C2xD12)	288,505
C₆.₇₅(C₂xD₁₂) = C₁₂.₂₇D₁₂	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	96		C6.75(C2xD12)	288,508
C₆.₇₆(C₂xD₁₂) = C₁₂.₂₈D₁₂	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.76(C2xD12)	288,512
C₆.₇₇(C₂xD₁₂) = Dic₃:Dic₆	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	96		C6.77(C2xD12)	288,514
C₆.₇₈(C₂xD₁₂) = C₁₂.₃₀D₁₂	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.78(C2xD12)	288,519
C₆.₇₉(C₂xD₁₂) = C₄xC₃:D₁₂	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.79(C2xD12)	288,551
C₆.₈₀(C₂xD₁₂) = C₁₂:₂D₁₂	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.80(C2xD12)	288,564
C₆.₈₁(C₂xD₁₂) = C₂xD₆:Dic₃	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	96		C6.81(C2xD12)	288,608
C₆.₈₂(C₂xD₁₂) = C₆².₅₇D₄	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.82(C2xD12)	288,610
C₆.₈₃(C₂xD₁₂) = C₂xC₆.D₁₂	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.83(C2xD12)	288,611
C₆.₈₄(C₂xD₁₂) = C₂xDic₃:Dic₃	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	96		C6.84(C2xD12)	288,613
C₆.₈₅(C₂xD₁₂) = C₆².₆₀D₄	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.85(C2xD12)	288,614
C₆.₈₆(C₂xD₁₂) = C₆²:₅D₄	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.86(C2xD12)	288,625
C₆.₈₇(C₂xD₁₂) = C₆²:₆D₄	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	48		C6.87(C2xD12)	288,626
C₆.₈₈(C₂xD₁₂) = C₆²:₈D₄	φ: C₂xD₁₂/C₂²xS₃ → C₂ ⊆ Aut C₆	24		C6.88(C2xD12)	288,629
C₆.₈₉(C₂xD₁₂) = C₃xC₁₂:₂Q₈	central extension (φ=1)	96		C6.89(C2xD12)	288,640
C₆.₉₀(C₂xD₁₂) = C₁₂xD₁₂	central extension (φ=1)	96		C6.90(C2xD12)	288,644
C₆.₉₁(C₂xD₁₂) = C₃xC₄:D₁₂	central extension (φ=1)	96		C6.91(C2xD12)	288,645
C₆.₉₂(C₂xD₁₂) = C₃xC₄²:₇S₃	central extension (φ=1)	96		C6.92(C2xD12)	288,646
C₆.₉₃(C₂xD₁₂) = C₃xD₆:D₄	central extension (φ=1)	48		C6.93(C2xD12)	288,653
C₆.₉₄(C₂xD₁₂) = C₃xC₂³.₂₁D₆	central extension (φ=1)	48		C6.94(C2xD12)	288,657
C₆.₉₅(C₂xD₁₂) = C₃xC₁₂:D₄	central extension (φ=1)	96		C6.95(C2xD12)	288,666
C₆.₉₆(C₂xD₁₂) = C₃xC₄.D₁₂	central extension (φ=1)	96		C6.96(C2xD12)	288,668
C₆.₉₇(C₂xD₁₂) = C₆xC₂₄:C₂	central extension (φ=1)	96		C6.97(C2xD12)	288,673
C₆.₉₈(C₂xD₁₂) = C₆xD₂₄	central extension (φ=1)	96		C6.98(C2xD12)	288,674
C₆.₉₉(C₂xD₁₂) = C₃xC₄oD₂₄	central extension (φ=1)	48	2	C6.99(C2xD12)	288,675
C₆.₁₀₀(C₂xD₁₂) = C₆xDic₁₂	central extension (φ=1)	96		C6.100(C2xD12)	288,676
C₆.₁₀₁(C₂xD₁₂) = C₃xC₈:D₆	central extension (φ=1)	48	4	C6.101(C2xD12)	288,679
C₆.₁₀₂(C₂xD₁₂) = C₃xC₈.D₆	central extension (φ=1)	48	4	C6.102(C2xD12)	288,680
C₆.₁₀₃(C₂xD₁₂) = C₆xC₄:Dic₃	central extension (φ=1)	96		C6.103(C2xD12)	288,696
C₆.₁₀₄(C₂xD₁₂) = C₆xD₆:C₄	central extension (φ=1)	96		C6.104(C2xD12)	288,698
C₆.₁₀₅(C₂xD₁₂) = C₃xC₁₂:₇D₄	central extension (φ=1)	48		C6.105(C2xD12)	288,701

Extensions 1→N→G→Q→1 with N=C6 and Q=C2xD12

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xD₁₂