Extensions 1→N→G→Q→1 with N=C₂×C₉⋊C₁₂ and Q=C₂

Direct product G=N×Q with N=C₂×C₉⋊C₁₂ and Q=C₂

		d	ρ	Label	ID
C₂²×C₉⋊C₁₂		144		C2^2xC9:C12	432,378

Semidirect products G=N:Q with N=C₂×C₉⋊C₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊C₁₂)⋊₁C₂ = D₁₈⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₁₂	72		(C2xC9:C12):1C2	432,147
(C₂×C₉⋊C₁₂)⋊₂C₂ = C₆².₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₁₂	72		(C2xC9:C12):2C2	432,167
(C₂×C₉⋊C₁₂)⋊₃C₂ = Dic₁₈⋊₂C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₁₂	72	12-	(C2xC9:C12):3C2	432,363
(C₂×C₉⋊C₁₂)⋊₄C₂ = C₂×Dic₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₁₂	72		(C2xC9:C12):4C2	432,379
(C₂×C₉⋊C₁₂)⋊₅C₂ = C₂×C₄×C₉⋊C₆	φ: trivial image	72		(C2xC9:C12):5C2	432,353

Non-split extensions G=N.Q with N=C₂×C₉⋊C₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊C₁₂).₁C₂ = Dic₉⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₁₂	144		(C2xC9:C12).1C2	432,145
(C₂×C₉⋊C₁₂).₂C₂ = C₃₆⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₁₂	144		(C2xC9:C12).2C2	432,146
(C₂×C₉⋊C₁₂).₃C₂ = C₂×C₃₆.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₁₂	144		(C2xC9:C12).3C2	432,352
(C₂×C₉⋊C₁₂).₄C₂ = C₄×C₉⋊C₁₂	φ: trivial image	144		(C2xC9:C12).4C2	432,144

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