Extensions 1→N→G→Q→1 with N=C₃²⋊₂C₈ and Q=C₂

Direct product G=N×Q with N=C₃²⋊₂C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊₂C₈		48		C2xC3^2:2C8	144,134

Semidirect products G=N:Q with N=C₃²⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈⋊₁C₂ = C₃²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₈	24	4	C3^2:2C8:1C2	144,117
C₃²⋊₂C₈⋊₂C₂ = C₃²⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₈	24	4-	C3^2:2C8:2C2	144,118
C₃²⋊₂C₈⋊₃C₂ = C₃²⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₈	24	4	C3^2:2C8:3C2	144,131
C₃²⋊₂C₈⋊₄C₂ = C₆².C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₈	24	4-	C3^2:2C8:4C2	144,135
C₃²⋊₂C₈⋊₅C₂ = C₃⋊S₃⋊₃C₈	φ: trivial image	24	4	C3^2:2C8:5C2	144,130

Non-split extensions G=N.Q with N=C₃²⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈.₁C₂ = C₂.F₉	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8.1C2	144,114
C₃²⋊₂C₈.₂C₂ = C₃²⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₈	48	4-	C3^2:2C8.2C2	144,119

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