Extensions 1→N→G→Q→1 with N=Dic₃×C₃×C₆ and Q=C₂

Direct product G=N×Q with N=Dic₃×C₃×C₆ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₆²		144		Dic3xC6^2	432,708

Semidirect products G=N:Q with N=Dic₃×C₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Dic₃×C₃×C₆)⋊₁C₂ = C₃×D₆⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6):1C2	432,426
(Dic₃×C₃×C₆)⋊₂C₂ = C₃×C₆.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6):2C2	432,427
(Dic₃×C₃×C₆)⋊₃C₂ = C₆².₇₈D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6):3C2	432,450
(Dic₃×C₃×C₆)⋊₄C₂ = C₆².₇₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	72		(Dic3xC3xC6):4C2	432,451
(Dic₃×C₃×C₆)⋊₅C₂ = C₃²×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6):5C2	432,474
(Dic₃×C₃×C₆)⋊₆C₂ = C₃²×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	72		(Dic3xC3xC6):6C2	432,479
(Dic₃×C₃×C₆)⋊₇C₂ = C₂×C₃³⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	72		(Dic3xC3xC6):7C2	432,682
(Dic₃×C₃×C₆)⋊₈C₂ = C₆².₉₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	72		(Dic3xC3xC6):8C2	432,678
(Dic₃×C₃×C₆)⋊₉C₂ = C₃×D₆.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	24	4	(Dic3xC3xC6):9C2	432,652
(Dic₃×C₃×C₆)⋊₁₀C₂ = C₆×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6):10C2	432,656
(Dic₃×C₃×C₆)⋊₁₁C₂ = S₃×C₆×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6):11C2	432,651
(Dic₃×C₃×C₆)⋊₁₂C₂ = C₆×C₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6):12C2	432,654
(Dic₃×C₃×C₆)⋊₁₃C₂ = C₂×Dic₃×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6):13C2	432,677
(Dic₃×C₃×C₆)⋊₁₄C₂ = C₂×C₃³⋊₈(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	72		(Dic3xC3xC6):14C2	432,679
(Dic₃×C₃×C₆)⋊₁₅C₂ = C₃²×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	72		(Dic3xC3xC6):15C2	432,705
(Dic₃×C₃×C₆)⋊₁₆C₂ = C₃×C₆×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	72		(Dic3xC3xC6):16C2	432,709
(Dic₃×C₃×C₆)⋊₁₇C₂ = S₃×C₆×C₁₂	φ: trivial image	144		(Dic3xC3xC6):17C2	432,701

Non-split extensions G=N.Q with N=Dic₃×C₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Dic₃×C₃×C₆).₁C₂ = C₃×Dic₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6).1C2	432,428
(Dic₃×C₃×C₆).₂C₂ = C₃×C₆².C₂²	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6).2C2	432,429
(Dic₃×C₃×C₆).₃C₂ = C₆².₈₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6).3C2	432,453
(Dic₃×C₃×C₆).₄C₂ = C₆².₈₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6).4C2	432,454
(Dic₃×C₃×C₆).₅C₂ = C₃²×Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6).5C2	432,472
(Dic₃×C₃×C₆).₆C₂ = C₃²×C₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6).6C2	432,473
(Dic₃×C₃×C₆).₇C₂ = C₆².₈₀D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6).7C2	432,452
(Dic₃×C₃×C₆).₈C₂ = C₂×C₃³⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6).8C2	432,683
(Dic₃×C₃×C₆).₉C₂ = C₆×C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6).9C2	432,657
(Dic₃×C₃×C₆).₁₀C₂ = C₃×Dic₃²	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	48		(Dic3xC3xC6).10C2	432,425
(Dic₃×C₃×C₆).₁₁C₂ = Dic₃×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6).11C2	432,448
(Dic₃×C₃×C₆).₁₂C₂ = C₃×C₆×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₃×C₆	144		(Dic3xC3xC6).12C2	432,700
(Dic₃×C₃×C₆).₁₃C₂ = Dic₃×C₃×C₁₂	φ: trivial image	144		(Dic3xC3xC6).13C2	432,471

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