Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₂xC₁₂

Direct product G=NxQ with N=C₃xC₆ and Q=C₂xC₁₂

		d	ρ	Label	ID
C₆²xC₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₂xC₁₂

extension	φ:Q→Aut N	d	Label	ID
(C₃xC₆):₁(C₂xC₁₂) = C₂xC₄xC₃²:C₆	φ: C₂xC₁₂/C₄ → C₆ ⊆ Aut C₃xC₆	72	(C3xC6):1(C2xC12)	432,349
(C₃xC₆):₂(C₂xC₁₂) = C₂²xC₃²:C₁₂	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₃xC₆	144	(C3xC6):2(C2xC12)	432,376
(C₃xC₆):₃(C₂xC₁₂) = C₂xC₆xC₃²:C₄	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃xC₆	48	(C3xC6):3(C2xC12)	432,765
(C₃xC₆):₄(C₂xC₁₂) = S₃xC₆xDic₃	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	(C3xC6):4(C2xC12)	432,651
(C₃xC₆):₅(C₂xC₁₂) = C₆xC₆.D₆	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	(C3xC6):5(C2xC12)	432,654
(C₃xC₆):₆(C₂xC₁₂) = C₂²xC₄xHe₃	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	144	(C3xC6):6(C2xC12)	432,401
(C₃xC₆):₇(C₂xC₁₂) = S₃xC₆xC₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6):7(C2xC12)	432,701
(C₃xC₆):₈(C₂xC₁₂) = C₃:S₃xC₂xC₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6):8(C2xC12)	432,711
(C₃xC₆):₉(C₂xC₁₂) = Dic₃xC₆²	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6):9(C2xC12)	432,708
(C₃xC₆):₁₀(C₂xC₁₂) = C₂xC₆xC₃:Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6):10(C2xC12)	432,718

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₂xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁(C₂xC₁₂) = C₈xC₃²:C₆	φ: C₂xC₁₂/C₄ → C₆ ⊆ Aut C₃xC₆	72	6	(C3xC6).1(C2xC12)	432,115
(C₃xC₆).₂(C₂xC₁₂) = He₃:₅M₄(2)	φ: C₂xC₁₂/C₄ → C₆ ⊆ Aut C₃xC₆	72	6	(C3xC6).2(C2xC12)	432,116
(C₃xC₆).₃(C₂xC₁₂) = C₆².₁₉D₆	φ: C₂xC₁₂/C₄ → C₆ ⊆ Aut C₃xC₆	144		(C3xC6).3(C2xC12)	432,139
(C₃xC₆).₄(C₂xC₁₂) = C₆².₂₁D₆	φ: C₂xC₁₂/C₄ → C₆ ⊆ Aut C₃xC₆	72		(C3xC6).4(C2xC12)	432,141
(C₃xC₆).₅(C₂xC₁₂) = C₂xHe₃:₃C₈	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₃xC₆	144		(C3xC6).5(C2xC12)	432,136
(C₃xC₆).₆(C₂xC₁₂) = He₃:₇M₄(2)	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₃xC₆	72	6	(C3xC6).6(C2xC12)	432,137
(C₃xC₆).₇(C₂xC₁₂) = C₄xC₃²:C₁₂	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₃xC₆	144		(C3xC6).7(C2xC12)	432,138
(C₃xC₆).₈(C₂xC₁₂) = C₆².₂₀D₆	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₃xC₆	144		(C3xC6).8(C2xC12)	432,140
(C₃xC₆).₉(C₂xC₁₂) = C₆²:₃C₁₂	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₃xC₆	72		(C3xC6).9(C2xC12)	432,166
(C₃xC₆).₁₀(C₂xC₁₂) = C₃xC₃:S₃:₃C₈	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).10(C2xC12)	432,628
(C₃xC₆).₁₁(C₂xC₁₂) = C₃xC₃²:M₄(2)	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).11(C2xC12)	432,629
(C₃xC₆).₁₂(C₂xC₁₂) = C₁₂xC₃²:C₄	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).12(C2xC12)	432,630
(C₃xC₆).₁₃(C₂xC₁₂) = C₃xC₄:(C₃²:C₄)	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).13(C2xC12)	432,631
(C₃xC₆).₁₄(C₂xC₁₂) = C₆xC₃²:₂C₈	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃xC₆	48		(C3xC6).14(C2xC12)	432,632
(C₃xC₆).₁₅(C₂xC₁₂) = C₃xC₆².C₄	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).15(C2xC12)	432,633
(C₃xC₆).₁₆(C₂xC₁₂) = C₃xC₆²:C₄	φ: C₂xC₁₂/C₆ → C₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).16(C2xC12)	432,634
(C₃xC₆).₁₇(C₂xC₁₂) = C₃xS₃xC₃:C₈	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).17(C2xC12)	432,414
(C₃xC₆).₁₈(C₂xC₁₂) = C₃xC₁₂.₂₉D₆	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).18(C2xC12)	432,415
(C₃xC₆).₁₉(C₂xC₁₂) = C₃xD₆.Dic₃	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).19(C2xC12)	432,416
(C₃xC₆).₂₀(C₂xC₁₂) = C₃xC₁₂.₃₁D₆	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).20(C2xC12)	432,417
(C₃xC₆).₂₁(C₂xC₁₂) = C₃xDic₃²	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).21(C2xC12)	432,425
(C₃xC₆).₂₂(C₂xC₁₂) = C₃xD₆:Dic₃	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).22(C2xC12)	432,426
(C₃xC₆).₂₃(C₂xC₁₂) = C₃xC₆.D₁₂	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).23(C2xC12)	432,427
(C₃xC₆).₂₄(C₂xC₁₂) = C₃xDic₃:Dic₃	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).24(C2xC12)	432,428
(C₃xC₆).₂₅(C₂xC₁₂) = C₃xC₆².C₂²	φ: C₂xC₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).25(C2xC12)	432,429
(C₃xC₆).₂₆(C₂xC₁₂) = C₄²xHe₃	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).26(C2xC12)	432,201
(C₃xC₆).₂₇(C₂xC₁₂) = C₄²x3_-¹⁺²	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).27(C2xC12)	432,202
(C₃xC₆).₂₈(C₂xC₁₂) = C₂²:C₄xHe₃	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	72		(C3xC6).28(C2xC12)	432,204
(C₃xC₆).₂₉(C₂xC₁₂) = C₂²:C₄x3_-¹⁺²	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	72		(C3xC6).29(C2xC12)	432,205
(C₃xC₆).₃₀(C₂xC₁₂) = C₄:C₄xHe₃	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).30(C2xC12)	432,207
(C₃xC₆).₃₁(C₂xC₁₂) = C₄:C₄x3_-¹⁺²	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).31(C2xC12)	432,208
(C₃xC₆).₃₂(C₂xC₁₂) = C₂xC₈xHe₃	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).32(C2xC12)	432,210
(C₃xC₆).₃₃(C₂xC₁₂) = C₂xC₈x3_-¹⁺²	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).33(C2xC12)	432,211
(C₃xC₆).₃₄(C₂xC₁₂) = M₄(2)xHe₃	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).34(C2xC12)	432,213
(C₃xC₆).₃₅(C₂xC₁₂) = M₄(2)x3_-¹⁺²	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).35(C2xC12)	432,214
(C₃xC₆).₃₆(C₂xC₁₂) = C₂²xC₄x3_-¹⁺²	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).36(C2xC12)	432,402
(C₃xC₆).₃₇(C₂xC₁₂) = S₃xC₇₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144	2	(C3xC6).37(C2xC12)	432,109
(C₃xC₆).₃₈(C₂xC₁₂) = C₉xC₈:S₃	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144	2	(C3xC6).38(C2xC12)	432,110
(C₃xC₆).₃₉(C₂xC₁₂) = Dic₃xC₃₆	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).39(C2xC12)	432,131
(C₃xC₆).₄₀(C₂xC₁₂) = C₉xDic₃:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).40(C2xC12)	432,132
(C₃xC₆).₄₁(C₂xC₁₂) = C₉xD₆:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).41(C2xC12)	432,135
(C₃xC₆).₄₂(C₂xC₁₂) = S₃xC₂xC₃₆	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).42(C2xC12)	432,345
(C₃xC₆).₄₃(C₂xC₁₂) = S₃xC₃xC₂₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).43(C2xC12)	432,464
(C₃xC₆).₄₄(C₂xC₁₂) = C₃²xC₈:S₃	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).44(C2xC12)	432,465
(C₃xC₆).₄₅(C₂xC₁₂) = C₃²xDic₃:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).45(C2xC12)	432,472
(C₃xC₆).₄₆(C₂xC₁₂) = C₃²xD₆:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).46(C2xC12)	432,474
(C₃xC₆).₄₇(C₂xC₁₂) = C₃:S₃xC₂₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).47(C2xC12)	432,480
(C₃xC₆).₄₈(C₂xC₁₂) = C₃xC₂₄:S₃	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).48(C2xC12)	432,481
(C₃xC₆).₄₉(C₂xC₁₂) = C₃xC₆.Dic₆	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).49(C2xC12)	432,488
(C₃xC₆).₅₀(C₂xC₁₂) = C₃xC₆.₁₁D₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).50(C2xC12)	432,490
(C₃xC₆).₅₁(C₂xC₁₂) = C₁₈xC₃:C₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).51(C2xC12)	432,126
(C₃xC₆).₅₂(C₂xC₁₂) = C₉xC₄.Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	72	2	(C3xC6).52(C2xC12)	432,127
(C₃xC₆).₅₃(C₂xC₁₂) = C₉xC₄:Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).53(C2xC12)	432,133
(C₃xC₆).₅₄(C₂xC₁₂) = C₉xC₆.D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).54(C2xC12)	432,165
(C₃xC₆).₅₅(C₂xC₁₂) = Dic₃xC₂xC₁₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).55(C2xC12)	432,373
(C₃xC₆).₅₆(C₂xC₁₂) = C₃xC₆xC₃:C₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).56(C2xC12)	432,469
(C₃xC₆).₅₇(C₂xC₁₂) = C₃²xC₄.Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).57(C2xC12)	432,470
(C₃xC₆).₅₈(C₂xC₁₂) = Dic₃xC₃xC₁₂	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).58(C2xC12)	432,471
(C₃xC₆).₅₉(C₂xC₁₂) = C₃²xC₄:Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).59(C2xC12)	432,473
(C₃xC₆).₆₀(C₂xC₁₂) = C₃²xC₆.D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).60(C2xC12)	432,479
(C₃xC₆).₆₁(C₂xC₁₂) = C₆xC₃²:₄C₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).61(C2xC12)	432,485
(C₃xC₆).₆₂(C₂xC₁₂) = C₃xC₁₂.₅₈D₆	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).62(C2xC12)	432,486
(C₃xC₆).₆₃(C₂xC₁₂) = C₁₂xC₃:Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).63(C2xC12)	432,487
(C₃xC₆).₆₄(C₂xC₁₂) = C₃xC₁₂:Dic₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).64(C2xC12)	432,489
(C₃xC₆).₆₅(C₂xC₁₂) = C₃xC₆²:₅C₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).65(C2xC12)	432,495
(C₃xC₆).₆₆(C₂xC₁₂) = C₂²:C₄xC₃xC₉	central extension (φ=1)	216		(C3xC6).66(C2xC12)	432,203
(C₃xC₆).₆₇(C₂xC₁₂) = C₄:C₄xC₃xC₉	central extension (φ=1)	432		(C3xC6).67(C2xC12)	432,206
(C₃xC₆).₆₈(C₂xC₁₂) = M₄(2)xC₃xC₉	central extension (φ=1)	216		(C3xC6).68(C2xC12)	432,212
(C₃xC₆).₆₉(C₂xC₁₂) = C₂²:C₄xC₃³	central extension (φ=1)	216		(C3xC6).69(C2xC12)	432,513
(C₃xC₆).₇₀(C₂xC₁₂) = C₄:C₄xC₃³	central extension (φ=1)	432		(C3xC6).70(C2xC12)	432,514
(C₃xC₆).₇₁(C₂xC₁₂) = M₄(2)xC₃³	central extension (φ=1)	216		(C3xC6).71(C2xC12)	432,516

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C2xC12

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₂xC₁₂