Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²⋊₂Q₈

Direct product G=N×Q with N=C₂² and Q=C₃²⋊₂Q₈

		d	ρ	Label	ID
C₂²×C₃²⋊₂Q₈		96		C2^2xC3^2:2Q8	288,975

Semidirect products G=N:Q with N=C₂² and Q=C₃²⋊₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²⋊₂Q₈) = Dic₃.S₄	φ: C₃²⋊₂Q₈/Dic₃ → S₃ ⊆ Aut C₂²	72	6-	C2^2:(C3^2:2Q8)	288,852
C₂²⋊₂(C₃²⋊₂Q₈) = C₆²⋊₃Q₈	φ: C₃²⋊₂Q₈/C₃×Dic₃ → C₂ ⊆ Aut C₂²	48		C2^2:2(C3^2:2Q8)	288,612
C₂²⋊₃(C₃²⋊₂Q₈) = C₆²⋊₄Q₈	φ: C₃²⋊₂Q₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₂²	48		C2^2:3(C3^2:2Q8)	288,630

Non-split extensions G=N.Q with N=C₂² and Q=C₃²⋊₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₃²⋊₂Q₈) = C₁₂.₈₂D₁₂	φ: C₃²⋊₂Q₈/C₃×Dic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.1(C3^2:2Q8)	288,225
C₂².₂(C₃²⋊₂Q₈) = C₆².₅Q₈	φ: C₃²⋊₂Q₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.2(C3^2:2Q8)	288,226
C₂².₃(C₃²⋊₂Q₈) = C₆².₆Q₈	central extension (φ=1)	96		C2^2.3(C3^2:2Q8)	288,227
C₂².₄(C₃²⋊₂Q₈) = C₂×Dic₃⋊Dic₃	central extension (φ=1)	96		C2^2.4(C3^2:2Q8)	288,613
C₂².₅(C₃²⋊₂Q₈) = C₂×C₆².C₂²	central extension (φ=1)	96		C2^2.5(C3^2:2Q8)	288,615

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