Extensions 1→N→G→Q→1 with N=C₃²⋊₄C₈ and Q=C₄

Direct product G=N×Q with N=C₃²⋊₄C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₃²⋊₄C₈		288		C4xC3^2:4C8	288,277

Semidirect products G=N:Q with N=C₃²⋊₄C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄C₈⋊₁C₄ = C₁₂.₆Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	96		C3^2:4C8:1C4	288,222
C₃²⋊₄C₈⋊₂C₄ = C₁₂.₈Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	96		C3^2:4C8:2C4	288,224
C₃²⋊₄C₈⋊₃C₄ = C₁₂.₉Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	288		C3^2:4C8:3C4	288,282
C₃²⋊₄C₈⋊₄C₄ = C₁₂.₁₀Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	288		C3^2:4C8:4C4	288,283
C₃²⋊₄C₈⋊₅C₄ = Dic₃×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	96		C3^2:4C8:5C4	288,200
C₃²⋊₄C₈⋊₆C₄ = C₃⋊C₈⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	96		C3^2:4C8:6C4	288,202
C₃²⋊₄C₈⋊₇C₄ = C₁₂².C₂	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	288		C3^2:4C8:7C4	288,278
C₃²⋊₄C₈⋊₈C₄ = C₂₄⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	288		C3^2:4C8:8C4	288,290
C₃²⋊₄C₈⋊₉C₄ = C₈×C₃²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:9C4	288,414
C₃²⋊₄C₈⋊₁₀C₄ = (C₃×C₂₄)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:10C4	288,415
C₃²⋊₄C₈⋊₁₁C₄ = C₈⋊(C₃²⋊C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:11C4	288,416
C₃²⋊₄C₈⋊₁₂C₄ = C₃⋊S₃.₄D₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:12C4	288,417
C₃²⋊₄C₈⋊₁₃C₄ = C₈×C₃⋊Dic₃	φ: trivial image	288		C3^2:4C8:13C4	288,288

Non-split extensions G=N.Q with N=C₃²⋊₄C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄C₈.C₄ = C₃²⋊C₃₂	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₄C₈	96	8	C3^2:4C8.C4	288,373
C₃²⋊₄C₈.₂C₄ = C₆².₅Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.2C4	288,226
C₃²⋊₄C₈.₃C₄ = C₆².₈Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	144		C3^2:4C8.3C4	288,297
C₃²⋊₄C₈.₄C₄ = C₂₄.₆₀D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.4C4	288,190
C₃²⋊₄C₈.₅C₄ = C₂₄.₆₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.5C4	288,192
C₃²⋊₄C₈.₆C₄ = C₄₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	144		C3^2:4C8.6C4	288,273
C₃²⋊₄C₈.₇C₄ = (C₃×C₂₄).C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.7C4	288,418
C₃²⋊₄C₈.₈C₄ = C₈.(C₃²⋊C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.8C4	288,419
C₃²⋊₄C₈.₉C₄ = C₂×C₃²⋊₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	96		C3^2:4C8.9C4	288,420
C₃²⋊₄C₈.₁₀C₄ = C₆².₄C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.10C4	288,421
C₃²⋊₄C₈.₁₁C₄ = C₁₆×C₃⋊S₃	φ: trivial image	144		C3^2:4C8.11C4	288,272

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