Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²⋊₄Q₈

Direct product G=N×Q with N=C₂² and Q=C₃²⋊₄Q₈

		d	ρ	Label	ID
C₂²×C₃²⋊₄Q₈		288		C2^2xC3^2:4Q8	288,1003

Semidirect products G=N:Q with N=C₂² and Q=C₃²⋊₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²⋊₄Q₈) = A₄⋊Dic₆	φ: C₃²⋊₄Q₈/C₁₂ → S₃ ⊆ Aut C₂²	72	6-	C2^2:(C3^2:4Q8)	288,907
C₂²⋊₂(C₃²⋊₄Q₈) = C₆²⋊₆Q₈	φ: C₃²⋊₄Q₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₂²	144		C2^2:2(C3^2:4Q8)	288,735
C₂²⋊₃(C₃²⋊₄Q₈) = C₆²⋊₁₀Q₈	φ: C₃²⋊₄Q₈/C₃×C₁₂ → C₂ ⊆ Aut C₂²	144		C2^2:3(C3^2:4Q8)	288,781

Non-split extensions G=N.Q with N=C₂² and Q=C₃²⋊₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₃²⋊₄Q₈) = C₆².₈Q₈	φ: C₃²⋊₄Q₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₂²	144		C2^2.1(C3^2:4Q8)	288,297
C₂².₂(C₃²⋊₄Q₈) = C₁₂.₅₉D₁₂	φ: C₃²⋊₄Q₈/C₃×C₁₂ → C₂ ⊆ Aut C₂²	144		C2^2.2(C3^2:4Q8)	288,294
C₂².₃(C₃²⋊₄Q₈) = C₆².₁₅Q₈	central extension (φ=1)	288		C2^2.3(C3^2:4Q8)	288,306
C₂².₄(C₃²⋊₄Q₈) = C₂×C₆.Dic₆	central extension (φ=1)	288		C2^2.4(C3^2:4Q8)	288,780
C₂².₅(C₃²⋊₄Q₈) = C₂×C₁₂⋊Dic₃	central extension (φ=1)	288		C2^2.5(C3^2:4Q8)	288,782

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