Extensions 1→N→G→Q→1 with N=C₃×M₄(2) and Q=C₄

Direct product G=N×Q with N=C₃×M₄(2) and Q=C₄

		d	ρ	Label	ID
C₁₂×M₄(2)		96		C12xM4(2)	192,837

Semidirect products G=N:Q with N=C₃×M₄(2) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2))⋊₁C₄ = C₂³.₅₂D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):1C4	192,680
(C₃×M₄(2))⋊₂C₄ = C₃×M₄(2)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):2C4	192,861
(C₃×M₄(2))⋊₃C₄ = Dic₃×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):3C4	192,676
(C₃×M₄(2))⋊₄C₄ = C₁₂.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):4C4	192,681
(C₃×M₄(2))⋊₅C₄ = M₄(2)⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):5C4	192,113
(C₃×M₄(2))⋊₆C₄ = C₁₂.₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):6C4	192,114
(C₃×M₄(2))⋊₇C₄ = M₄(2)⋊₄Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):7C4	192,118
(C₃×M₄(2))⋊₈C₄ = C₃×C₄²⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	48		(C3xM4(2)):8C4	192,145
(C₃×M₄(2))⋊₉C₄ = C₃×C₂².C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)):9C4	192,149
(C₃×M₄(2))⋊₁₀C₄ = C₃×M₄(2)⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):10C4	192,150
(C₃×M₄(2))⋊₁₁C₄ = C₃×C₈○₂M₄(2)	φ: trivial image	96		(C3xM4(2)):11C4	192,838

Non-split extensions G=N.Q with N=C₃×M₄(2) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2)).₁C₄ = C₂³.₉Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).1C4	192,684
(C₃×M₄(2)).₂C₄ = C₃×M₄(2).C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).2C4	192,863
(C₃×M₄(2)).₃C₄ = C₂₄.₇₈C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96	4	(C3xM4(2)).3C4	192,699
(C₃×M₄(2)).₄C₄ = C₁₂.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)).4C4	192,117
(C₃×M₄(2)).₅C₄ = C₂₄.₉₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96	4	(C3xM4(2)).5C4	192,120
(C₃×M₄(2)).₆C₄ = C₃×C₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96		(C3xM4(2)).6C4	192,147
(C₃×M₄(2)).₇C₄ = C₃×D₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×M₄(2)	96	2	(C3xM4(2)).7C4	192,156
(C₃×M₄(2)).₈C₄ = C₃×D₄○C₁₆	φ: trivial image	96	2	(C3xM4(2)).8C4	192,937

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