Extensions 1→N→G→Q→1 with N=C₃³⋊₅C₄ and Q=C₂

Direct product G=N×Q with N=C₃³⋊₅C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊₅C₄		216		C2xC3^3:5C4	216,148

Semidirect products G=N:Q with N=C₃³⋊₅C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₅C₄⋊₁C₂ = S₃×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4:1C2	216,124
C₃³⋊₅C₄⋊₂C₂ = Dic₃×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4:2C2	216,125
C₃³⋊₅C₄⋊₃C₂ = C₃³⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4:3C2	216,127
C₃³⋊₅C₄⋊₄C₂ = C₃³⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅C₄	108		C3^3:5C4:4C2	216,149
C₃³⋊₅C₄⋊₅C₂ = C₄×C₃³⋊C₂	φ: trivial image	108		C3^3:5C4:5C2	216,146

Non-split extensions G=N.Q with N=C₃³⋊₅C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₅C₄.₁C₂ = C₃³⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.1C2	216,130
C₃³⋊₅C₄.₂C₂ = C₃³⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅C₄	216		C3^3:5C4.2C2	216,145

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