Extensions 1→N→G→Q→1 with N=C₂xC₃:Dic₃ and Q=C₆

Direct product G=NxQ with N=C₂xC₃:Dic₃ and Q=C₆

		d	ρ	Label	ID
C₂xC₆xC₃:Dic₃		144		C2xC6xC3:Dic3	432,718

Semidirect products G=N:Q with N=C₂xC₃:Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:Dic₃):₁C₆ = C₆².₂₁D₆	φ: C₆/C₁ → C₆ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):1C6	432,141
(C₂xC₃:Dic₃):₂C₆ = C₆²:₃C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):2C6	432,166
(C₂xC₃:Dic₃):₃C₆ = C₆².₁₃D₆	φ: C₆/C₁ → C₆ ⊆ Out C₂xC₃:Dic₃	72	12-	(C2xC3:Dic3):3C6	432,361
(C₂xC₃:Dic₃):₄C₆ = C₂xHe₃:₆D₄	φ: C₆/C₁ → C₆ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):4C6	432,377
(C₂xC₃:Dic₃):₅C₆ = C₂xC₄xC₃²:C₆	φ: C₆/C₂ → C₃ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):5C6	432,349
(C₂xC₃:Dic₃):₆C₆ = C₂²xC₃²:C₁₂	φ: C₆/C₂ → C₃ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3):6C6	432,376
(C₂xC₃:Dic₃):₇C₆ = C₃xD₆:Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3):7C6	432,426
(C₂xC₃:Dic₃):₈C₆ = C₃xC₆.₁₁D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3):8C6	432,490
(C₂xC₃:Dic₃):₉C₆ = C₃xC₆²:₅C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):9C6	432,495
(C₂xC₃:Dic₃):₁₀C₆ = S₃xC₆xDic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3):10C6	432,651
(C₂xC₃:Dic₃):₁₁C₆ = C₃xD₆.₄D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	24	4	(C2xC3:Dic3):11C6	432,653
(C₂xC₃:Dic₃):₁₂C₆ = C₆xD₆:S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3):12C6	432,655
(C₂xC₃:Dic₃):₁₃C₆ = C₃xC₁₂.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):13C6	432,715
(C₂xC₃:Dic₃):₁₄C₆ = C₆xC₃²:₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	72		(C2xC3:Dic3):14C6	432,719
(C₂xC₃:Dic₃):₁₅C₆ = C₃:S₃xC₂xC₁₂	φ: trivial image	144		(C2xC3:Dic3):15C6	432,711

Non-split extensions G=N.Q with N=C₂xC₃:Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:Dic₃).₁C₆ = C₆².₁₉D₆	φ: C₆/C₁ → C₆ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).1C6	432,139
(C₂xC₃:Dic₃).₂C₆ = C₆².₂₀D₆	φ: C₆/C₁ → C₆ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).2C6	432,140
(C₂xC₃:Dic₃).₃C₆ = C₂xHe₃:₃Q₈	φ: C₆/C₁ → C₆ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).3C6	432,348
(C₂xC₃:Dic₃).₄C₆ = C₄xC₃²:C₁₂	φ: C₆/C₂ → C₃ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).4C6	432,138
(C₂xC₃:Dic₃).₅C₆ = C₃xDic₃²	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).5C6	432,425
(C₂xC₃:Dic₃).₆C₆ = C₃xDic₃:Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).6C6	432,428
(C₂xC₃:Dic₃).₇C₆ = C₃xC₆².C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).7C6	432,429
(C₂xC₃:Dic₃).₈C₆ = C₃xC₆.Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).8C6	432,488
(C₂xC₃:Dic₃).₉C₆ = C₃xC₁₂:Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).9C6	432,489
(C₂xC₃:Dic₃).₁₀C₆ = C₆xC₃²:₂C₈	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).10C6	432,632
(C₂xC₃:Dic₃).₁₁C₆ = C₃xC₆².C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	24	4	(C2xC3:Dic3).11C6	432,633
(C₂xC₃:Dic₃).₁₂C₆ = C₆xC₃²:₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	48		(C2xC3:Dic3).12C6	432,657
(C₂xC₃:Dic₃).₁₃C₆ = C₆xC₃²:₄Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂xC₃:Dic₃	144		(C2xC3:Dic3).13C6	432,710
(C₂xC₃:Dic₃).₁₄C₆ = C₁₂xC₃:Dic₃	φ: trivial image	144		(C2xC3:Dic3).14C6	432,487

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