Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=D₁₂

Direct product G=NxQ with N=C₃xC₆ and Q=D₁₂

		d	ρ	Label	ID
C₃xC₆xD₁₂		144		C3xC6xD12	432,702

Semidirect products G=N:Q with N=C₃xC₆ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):D₁₂ = C₂xHe₃:₃D₄	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃xC₆	72		(C3xC6):D12	432,322
(C₃xC₆):₂D₁₂ = C₂xC₃²:₂D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₃xC₆	24	8+	(C3xC6):2D12	432,756
(C₃xC₆):₃D₁₂ = C₂xHe₃:₄D₄	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6):3D12	432,350
(C₃xC₆):₄D₁₂ = C₂xHe₃:₅D₄	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6):4D12	432,386
(C₃xC₆):₅D₁₂ = C₂xC₃³:₈D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	72		(C3xC6):5D12	432,682
(C₃xC₆):₆D₁₂ = C₂xC₃³:₉D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6):6D12	432,694
(C₃xC₆):₇D₁₂ = C₆xC₁₂:S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6):7D12	432,712
(C₃xC₆):₈D₁₂ = C₂xC₃³:₁₂D₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6):8D12	432,722
(C₃xC₆):₉D₁₂ = C₆xC₃:D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6):9D12	432,656
(C₃xC₆):₁₀D₁₂ = C₂xC₃³:₇D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6):10D12	432,681

Non-split extensions G=N.Q with N=C₃xC₆ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁D₁₂ = He₃:₃D₈	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃xC₆	72	12+	(C3xC6).1D12	432,83
(C₃xC₆).₂D₁₂ = He₃:₄SD₁₆	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃xC₆	72	12-	(C3xC6).2D12	432,84
(C₃xC₆).₃D₁₂ = He₃:₅SD₁₆	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃xC₆	72	12+	(C3xC6).3D12	432,85
(C₃xC₆).₄D₁₂ = He₃:₃Q₁₆	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃xC₆	144	12-	(C3xC6).4D12	432,86
(C₃xC₆).₅D₁₂ = C₆².D₆	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃xC₆	144		(C3xC6).5D12	432,95
(C₃xC₆).₆D₁₂ = C₆².₄D₆	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃xC₆	72		(C3xC6).6D12	432,97
(C₃xC₆).₇D₁₂ = C₆².₅D₆	φ: D₁₂/C₂ → D₆ ⊆ Aut C₃xC₆	72		(C3xC6).7D12	432,98
(C₃xC₆).₈D₁₂ = (C₃xC₆).₈D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₃xC₆	24	8+	(C3xC6).8D12	432,586
(C₃xC₆).₉D₁₂ = (C₃xC₆).₉D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₃xC₆	48	8-	(C3xC6).9D12	432,587
(C₃xC₆).₁₀D₁₂ = C₃²:₂D₂₄	φ: D₁₂/C₃ → D₄ ⊆ Aut C₃xC₆	24	8+	(C3xC6).10D12	432,588
(C₃xC₆).₁₁D₁₂ = C₃³:₈SD₁₆	φ: D₁₂/C₃ → D₄ ⊆ Aut C₃xC₆	24	8+	(C3xC6).11D12	432,589
(C₃xC₆).₁₂D₁₂ = C₃³:₃Q₁₆	φ: D₁₂/C₃ → D₄ ⊆ Aut C₃xC₆	48	8-	(C3xC6).12D12	432,590
(C₃xC₆).₁₃D₁₂ = He₃:₄Q₁₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	144	6-	(C3xC6).13D12	432,114
(C₃xC₆).₁₄D₁₂ = He₃:₆SD₁₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).14D12	432,117
(C₃xC₆).₁₅D₁₂ = He₃:₄D₈	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72	6+	(C3xC6).15D12	432,118
(C₃xC₆).₁₆D₁₂ = C₇₂.C₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	144	6-	(C3xC6).16D12	432,119
(C₃xC₆).₁₇D₁₂ = C₇₂:₂C₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).17D12	432,122
(C₃xC₆).₁₈D₁₂ = D₇₂:C₃	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72	6+	(C3xC6).18D12	432,123
(C₃xC₆).₁₉D₁₂ = C₆².₂₀D₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	144		(C3xC6).19D12	432,140
(C₃xC₆).₂₀D₁₂ = C₆².₂₁D₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6).20D12	432,141
(C₃xC₆).₂₁D₁₂ = C₃₆:C₁₂	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	144		(C3xC6).21D12	432,146
(C₃xC₆).₂₂D₁₂ = D₁₈:C₁₂	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6).22D12	432,147
(C₃xC₆).₂₃D₁₂ = He₃:₇SD₁₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).23D12	432,175
(C₃xC₆).₂₄D₁₂ = He₃:₅D₈	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).24D12	432,176
(C₃xC₆).₂₅D₁₂ = He₃:₅Q₁₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	144	6	(C3xC6).25D12	432,177
(C₃xC₆).₂₆D₁₂ = C₆².₃₀D₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	144		(C3xC6).26D12	432,188
(C₃xC₆).₂₇D₁₂ = C₆².₃₁D₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6).27D12	432,189
(C₃xC₆).₂₈D₁₂ = C₂xD₃₆:C₃	φ: D₁₂/C₄ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6).28D12	432,354
(C₃xC₆).₂₉D₁₂ = D₃₆.S₃	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	144	4-	(C3xC6).29D12	432,62
(C₃xC₆).₃₀D₁₂ = C₆.D₃₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	72	4+	(C3xC6).30D12	432,63
(C₃xC₆).₃₁D₁₂ = C₃:D₇₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	72	4+	(C3xC6).31D12	432,64
(C₃xC₆).₃₂D₁₂ = C₃:Dic₃₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	144	4-	(C3xC6).32D12	432,65
(C₃xC₆).₃₃D₁₂ = Dic₃:Dic₉	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	144		(C3xC6).33D12	432,90
(C₃xC₆).₃₄D₁₂ = D₁₈:Dic₃	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	144		(C3xC6).34D12	432,91
(C₃xC₆).₃₅D₁₂ = C₆.₁₈D₃₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	72		(C3xC6).35D12	432,92
(C₃xC₆).₃₆D₁₂ = C₂xC₃:D₃₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	72		(C3xC6).36D12	432,307
(C₃xC₆).₃₇D₁₂ = C₃³:₈D₈	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	72		(C3xC6).37D12	432,438
(C₃xC₆).₃₈D₁₂ = C₃³:₁₆SD₁₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	144		(C3xC6).38D12	432,443
(C₃xC₆).₃₉D₁₂ = C₃³:₁₇SD₁₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	72		(C3xC6).39D12	432,444
(C₃xC₆).₄₀D₁₂ = C₃³:₈Q₁₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	144		(C3xC6).40D12	432,447
(C₃xC₆).₄₁D₁₂ = C₆².₇₈D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	144		(C3xC6).41D12	432,450
(C₃xC₆).₄₂D₁₂ = C₆².₇₉D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	72		(C3xC6).42D12	432,451
(C₃xC₆).₄₃D₁₂ = C₆².₈₀D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	144		(C3xC6).43D12	432,452
(C₃xC₆).₄₄D₁₂ = C₃³:₉D₈	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).44D12	432,457
(C₃xC₆).₄₅D₁₂ = C₃³:₁₈SD₁₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).45D12	432,458
(C₃xC₆).₄₆D₁₂ = C₃³:₉Q₁₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).46D12	432,459
(C₃xC₆).₄₇D₁₂ = C₆².₈₄D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).47D12	432,461
(C₃xC₆).₄₈D₁₂ = C₆².₈₅D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).48D12	432,462
(C₃xC₆).₄₉D₁₂ = C₃xDic₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144	2	(C3xC6).49D12	432,104
(C₃xC₆).₅₀D₁₂ = C₃xC₇₂:C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144	2	(C3xC6).50D12	432,107
(C₃xC₆).₅₁D₁₂ = C₃xD₇₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144	2	(C3xC6).51D12	432,108
(C₃xC₆).₅₂D₁₂ = C₃xC₄:Dic₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).52D12	432,130
(C₃xC₆).₅₃D₁₂ = C₃xD₁₈:C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).53D12	432,134
(C₃xC₆).₅₄D₁₂ = C₂₄.D₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	432		(C3xC6).54D12	432,168
(C₃xC₆).₅₅D₁₂ = C₂₄:D₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).55D12	432,171
(C₃xC₆).₅₆D₁₂ = C₇₂:₁S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).56D12	432,172
(C₃xC₆).₅₇D₁₂ = C₃₆:Dic₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	432		(C3xC6).57D12	432,182
(C₃xC₆).₅₈D₁₂ = C₆.₁₁D₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).58D12	432,183
(C₃xC₆).₅₉D₁₂ = C₆xD₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).59D12	432,343
(C₃xC₆).₆₀D₁₂ = C₂xC₃₆:S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).60D12	432,382
(C₃xC₆).₆₁D₁₂ = C₃xC₂₄:₂S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).61D12	432,482
(C₃xC₆).₆₂D₁₂ = C₃xC₃²:₅D₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).62D12	432,483
(C₃xC₆).₆₃D₁₂ = C₃xC₃²:₅Q₁₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).63D12	432,484
(C₃xC₆).₆₄D₁₂ = C₃xC₁₂:Dic₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).64D12	432,489
(C₃xC₆).₆₅D₁₂ = C₃xC₆.₁₁D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).65D12	432,490
(C₃xC₆).₆₆D₁₂ = C₃³:₂₁SD₁₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).66D12	432,498
(C₃xC₆).₆₇D₁₂ = C₃³:₁₂D₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).67D12	432,499
(C₃xC₆).₆₈D₁₂ = C₃³:₁₂Q₁₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	432		(C3xC6).68D12	432,500
(C₃xC₆).₆₉D₁₂ = C₆².₁₄₇D₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	432		(C3xC6).69D12	432,505
(C₃xC₆).₇₀D₁₂ = C₆².₁₄₈D₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).70D12	432,506
(C₃xC₆).₇₁D₁₂ = C₃xC₃:D₂₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).71D12	432,419
(C₃xC₆).₇₂D₁₂ = C₃xD₁₂.S₃	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).72D12	432,421
(C₃xC₆).₇₃D₁₂ = C₃xC₃²:₅SD₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).73D12	432,422
(C₃xC₆).₇₄D₁₂ = C₃xC₃²:₃Q₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).74D12	432,424
(C₃xC₆).₇₅D₁₂ = C₃xD₆:Dic₃	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).75D12	432,426
(C₃xC₆).₇₆D₁₂ = C₃xC₆.D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).76D12	432,427
(C₃xC₆).₇₇D₁₂ = C₃xDic₃:Dic₃	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).77D12	432,428
(C₃xC₆).₇₈D₁₂ = C₃³:₇D₈	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).78D12	432,437
(C₃xC₆).₇₉D₁₂ = C₃³:₁₄SD₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).79D12	432,441
(C₃xC₆).₈₀D₁₂ = C₃³:₁₅SD₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).80D12	432,442
(C₃xC₆).₈₁D₁₂ = C₃³:₇Q₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).81D12	432,446
(C₃xC₆).₈₂D₁₂ = C₆².₇₇D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).82D12	432,449
(C₃xC₆).₈₃D₁₂ = C₆².₈₂D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).83D12	432,454
(C₃xC₆).₈₄D₁₂ = C₃²xC₂₄:C₂	central extension (φ=1)	144		(C3xC6).84D12	432,466
(C₃xC₆).₈₅D₁₂ = C₃²xD₂₄	central extension (φ=1)	144		(C3xC6).85D12	432,467
(C₃xC₆).₈₆D₁₂ = C₃²xDic₁₂	central extension (φ=1)	144		(C3xC6).86D12	432,468
(C₃xC₆).₈₇D₁₂ = C₃²xC₄:Dic₃	central extension (φ=1)	144		(C3xC6).87D12	432,473
(C₃xC₆).₈₈D₁₂ = C₃²xD₆:C₄	central extension (φ=1)	144		(C3xC6).88D12	432,474

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=D12

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=D₁₂