Extensions 1→N→G→Q→1 with N=C₃²⋊₇D₄ and Q=C₄

Direct product G=N×Q with N=C₃²⋊₇D₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₃²⋊₇D₄		144		C4xC3^2:7D4	288,785

Semidirect products G=N:Q with N=C₃²⋊₇D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₇D₄⋊C₄ = D₄×C₃²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₇D₄	24	8+	C3^2:7D4:C4	288,936
C₃²⋊₇D₄⋊₂C₄ = C₆².₉₄C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	48		C3^2:7D4:2C4	288,600
C₃²⋊₇D₄⋊₃C₄ = C₆².₂₂₅C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	144		C3^2:7D4:3C4	288,738

Non-split extensions G=N.Q with N=C₃²⋊₇D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₇D₄.C₄ = C₆².(C₂×C₄)	φ: C₄/C₁ → C₄ ⊆ Out C₃²⋊₇D₄	48	8-	C3^2:7D4.C4	288,935
C₃²⋊₇D₄.₂C₄ = C₃⋊C₈.₂₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	48	4	C3^2:7D4.2C4	288,465
C₃²⋊₇D₄.₃C₄ = C₂₄.₄₇D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊₇D₄	144		C3^2:7D4.3C4	288,764
C₃²⋊₇D₄.₄C₄ = C₂₄.₉₅D₆	φ: trivial image	144		C3^2:7D4.4C4	288,758

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