Extensions 1→N→G→Q→1 with N=C₁₂⋊S₃ and Q=C₂

Direct product G=N×Q with N=C₁₂⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₂⋊S₃		72		C2xC12:S3	144,170

Semidirect products G=N:Q with N=C₁₂⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂⋊S₃⋊₁C₂ = C₃²⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	72		C12:S3:1C2	144,88
C₁₂⋊S₃⋊₂C₂ = C₃⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	24	4+	C12:S3:2C2	144,57
C₁₂⋊S₃⋊₃C₂ = C₃²⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	72		C12:S3:3C2	144,96
C₁₂⋊S₃⋊₄C₂ = D₆.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	24	4+	C12:S3:4C2	144,142
C₁₂⋊S₃⋊₅C₂ = S₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	24	4+	C12:S3:5C2	144,144
C₁₂⋊S₃⋊₆C₂ = D₄×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	36		C12:S3:6C2	144,172
C₁₂⋊S₃⋊₇C₂ = C₁₂.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	72		C12:S3:7C2	144,175
C₁₂⋊S₃⋊₈C₂ = C₁₂.₅₉D₆	φ: trivial image	72		C12:S3:8C2	144,171

Non-split extensions G=N.Q with N=C₁₂⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂⋊S₃.₁C₂ = C₂₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	72		C12:S3.1C2	144,87
C₁₂⋊S₃.₂C₂ = C₃²⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	24	4+	C12:S3.2C2	144,60
C₁₂⋊S₃.₃C₂ = C₃²⋊₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂⋊S₃	72		C12:S3.3C2	144,98

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