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

Direct product G=NxQ with N=C₃²:₄C₈ and Q=C₄

		d	ρ	Label	ID
C₄xC₃²:₄C₈		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 = Dic₃xC₃: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 = C₈xC₃²:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃²:₄C₈	48	4	C3^2:4C8:9C4	288,414
C₃²:₄C₈:₁₀C₄ = (C₃xC₂₄):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 = C₈xC₃: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 = (C₃xC₂₄).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 = C₂xC₃²:₂C₁₆	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 = C₁₆xC₃:S₃	φ: trivial image	144		C3^2:4C8.11C4	288,272

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