Extensions 1→N→G→Q→1 with N=C₃²⋊₄Q₈ and Q=C₄

Direct product G=N×Q with N=C₃²⋊₄Q₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₃²⋊₄Q₈		288		C4xC3^2:4Q8	288,725

Semidirect products G=N:Q with N=C₃²⋊₄Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄Q₈⋊₁C₄ = C₃²⋊₆C₄≀C₂	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:1C4	288,431
C₃²⋊₄Q₈⋊₂C₄ = C₃⋊S₃.₅Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:2C4	288,432
C₃²⋊₄Q₈⋊₃C₄ = Q₈×C₃²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8:3C4	288,938
C₃²⋊₄Q₈⋊₄C₄ = C₁₂²⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:4C4	288,280
C₃²⋊₄Q₈⋊₅C₄ = C₆.₄Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	288		C3^2:4Q8:5C4	288,291
C₃²⋊₄Q₈⋊₆C₄ = C₁₂.₇₃D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	96		C3^2:4Q8:6C4	288,215
C₃²⋊₄Q₈⋊₇C₄ = C₁₂.₈₀D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:7C4	288,218
C₃²⋊₄Q₈⋊₈C₄ = C₆².₁₁₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	288		C3^2:4Q8:8C4	288,285
C₃²⋊₄Q₈⋊₉C₄ = C₆².₃₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:9C4	288,300
C₃²⋊₄Q₈⋊₁₀C₄ = Dic₃⋊₆Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	96		C3^2:4Q8:10C4	288,492
C₃²⋊₄Q₈⋊₁₁C₄ = C₆².₂₃₁C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	288		C3^2:4Q8:11C4	288,744

Non-split extensions G=N.Q with N=C₃²⋊₄Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄Q₈.C₄ = C₆².(C₂×C₄)	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₄Q₈	48	8-	C3^2:4Q8.C4	288,935
C₃²⋊₄Q₈.₂C₄ = C₃⋊C₈.₂₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8.2C4	288,465
C₃²⋊₄Q₈.₃C₄ = C₂₄.₄₇D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.3C4	288,764
C₃²⋊₄Q₈.₄C₄ = C₂₄.₉₅D₆	φ: trivial image	144		C3^2:4Q8.4C4	288,758

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