Extensions 1→N→G→Q→1 with N=C₃²⋊₂Q₈ and Q=C₄

Direct product G=N×Q with N=C₃²⋊₂Q₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₃²⋊₂Q₈		96		C4xC3^2:2Q8	288,565

Semidirect products G=N:Q with N=C₃²⋊₂Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₈⋊₁C₄ = C₃⋊S₃.₂Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₂Q₈	48	4	C3^2:2Q8:1C4	288,378
C₃²⋊₂Q₈⋊₂C₄ = Dic₃≀C₂	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₂Q₈	24	4-	C3^2:2Q8:2C4	288,389
C₃²⋊₂Q₈⋊₃C₄ = C₃²⋊C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4	C3^2:2Q8:3C4	288,379
C₃²⋊₂Q₈⋊₄C₄ = C₆².₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂Q₈	96		C3^2:2Q8:4C4	288,388
C₃²⋊₂Q₈⋊₅C₄ = Dic₃⋊₅Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂Q₈	96		C3^2:2Q8:5C4	288,485
C₃²⋊₂Q₈⋊₆C₄ = C₆².₈C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂Q₈	96		C3^2:2Q8:6C4	288,486

Non-split extensions G=N.Q with N=C₃²⋊₂Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₈.₁C₄ = C₂₄.₆₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4	C3^2:2Q8.1C4	288,452
C₃²⋊₂Q₈.₂C₄ = C₂₄.D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4	C3^2:2Q8.2C4	288,453
C₃²⋊₂Q₈.₃C₄ = C₂₄.₆₃D₆	φ: trivial image	48	4	C3^2:2Q8.3C4	288,451

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