Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₃²⋊₄C₈

Direct product G=N×Q with N=C₂ and Q=C₂×C₃²⋊₄C₈

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

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₃²⋊₄C₈) = C₄×C₃²⋊₄C₈	central extension (φ=1)	288		C2.1(C2xC3^2:4C8)	288,277
C₂.₂(C₂×C₃²⋊₄C₈) = C₂×C₂₄.S₃	central extension (φ=1)	288		C2.2(C2xC3^2:4C8)	288,286
C₂.₃(C₂×C₃²⋊₄C₈) = C₁₂.₅₇D₁₂	central stem extension (φ=1)	288		C2.3(C2xC3^2:4C8)	288,279
C₂.₄(C₂×C₃²⋊₄C₈) = C₂₄.₉₄D₆	central stem extension (φ=1)	144		C2.4(C2xC3^2:4C8)	288,287
C₂.₅(C₂×C₃²⋊₄C₈) = C₆²⋊₇C₈	central stem extension (φ=1)	144		C2.5(C2xC3^2:4C8)	288,305

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