Extensions 1→N→G→Q→1 with N=C₃²⋊₄C₈ and Q=C₂

Direct product G=N×Q with N=C₃²⋊₄C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊₄C₈		144		C2xC3^2:4C8	144,90

Semidirect products G=N:Q with N=C₃²⋊₄C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄C₈⋊₁C₂ = C₃²⋊₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:1C2	144,56
C₃²⋊₄C₈⋊₂C₂ = Dic₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:2C2	144,58
C₃²⋊₄C₈⋊₃C₂ = C₃²⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	72		C3^2:4C8:3C2	144,96
C₃²⋊₄C₈⋊₄C₂ = C₃²⋊₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	72		C3^2:4C8:4C2	144,97
C₃²⋊₄C₈⋊₅C₂ = C₃²⋊₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	72		C3^2:4C8:5C2	144,98
C₃²⋊₄C₈⋊₆C₂ = S₃×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:6C2	144,52
C₃²⋊₄C₈⋊₇C₂ = D₆.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:7C2	144,54
C₃²⋊₄C₈⋊₈C₂ = C₂₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	72		C3^2:4C8:8C2	144,86
C₃²⋊₄C₈⋊₉C₂ = C₁₂.₅₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	72		C3^2:4C8:9C2	144,91
C₃²⋊₄C₈⋊₁₀C₂ = C₈×C₃⋊S₃	φ: trivial image	72		C3^2:4C8:10C2	144,85

Non-split extensions G=N.Q with N=C₃²⋊₄C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄C₈.₁C₂ = C₃²⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.1C2	144,61
C₃²⋊₄C₈.₂C₂ = C₃²⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	144		C3^2:4C8.2C2	144,99
C₃²⋊₄C₈.₃C₂ = C₃²⋊₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.3C2	144,51

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