Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²⋊₄C₈

Direct product G=N×Q with N=C₂² and Q=C₃²⋊₄C₈

		d	ρ	Label	ID
C₂²×C₃²⋊₄C₈		288		C2^2xC3^2:4C8	288,777

Semidirect products G=N:Q with N=C₂² and Q=C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²⋊₄C₈) = C₁₂.₁₂S₄	φ: C₃²⋊₄C₈/C₁₂ → S₃ ⊆ Aut C₂²	72	6	C2^2:(C3^2:4C8)	288,402
C₂²⋊₂(C₃²⋊₄C₈) = C₆²⋊₇C₈	φ: C₃²⋊₄C₈/C₃×C₁₂ → C₂ ⊆ Aut C₂²	144		C2^2:2(C3^2:4C8)	288,305

Non-split extensions G=N.Q with N=C₂² and Q=C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃²⋊₄C₈) = C₂₄.₉₄D₆	φ: C₃²⋊₄C₈/C₃×C₁₂ → C₂ ⊆ Aut C₂²	144		C2^2.(C3^2:4C8)	288,287
C₂².₂(C₃²⋊₄C₈) = C₂×C₂₄.S₃	central extension (φ=1)	288		C2^2.2(C3^2:4C8)	288,286

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Extensions 1→N→G→Q→1 with N=C22 and Q=C32⋊4C8