Extensions 1→N→G→Q→1 with N=C₁₅⋊₇D₄ and Q=C₄

Direct product G=N×Q with N=C₁₅⋊₇D₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₅⋊₇D₄		240		C4xC15:7D4	480,893

Semidirect products G=N:Q with N=C₁₅⋊₇D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊₇D₄⋊₁C₄ = F₅×C₃⋊D₄	φ: C₄/C₁ → C₄ ⊆ Out C₁₅⋊₇D₄	60	8	C15:7D4:1C4	480,1010
C₁₅⋊₇D₄⋊₂C₄ = C₃⋊D₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₁₅⋊₇D₄	60	8	C15:7D4:2C4	480,1012
C₁₅⋊₇D₄⋊₃C₄ = Dic₁₅⋊₁₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	240		C15:7D4:3C4	480,846
C₁₅⋊₇D₄⋊₄C₄ = C₁₅⋊₂₆(C₄×D₄)	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	240		C15:7D4:4C4	480,628
C₁₅⋊₇D₄⋊₅C₄ = C₁₅⋊₂₈(C₄×D₄)	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	240		C15:7D4:5C4	480,632

Non-split extensions G=N.Q with N=C₁₅⋊₇D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊₇D₄.₁C₄ = C₅⋊C₈.D₆	φ: C₄/C₁ → C₄ ⊆ Out C₁₅⋊₇D₄	240	8	C15:7D4.1C4	480,1003
C₁₅⋊₇D₄.₂C₄ = D₁₅⋊C₈⋊C₂	φ: C₄/C₁ → C₄ ⊆ Out C₁₅⋊₇D₄	240	8	C15:7D4.2C4	480,1005
C₁₅⋊₇D₄.₃C₄ = D₆₀.₃C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	240	4	C15:7D4.3C4	480,872
C₁₅⋊₇D₄.₄C₄ = D₆₀.₅C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	240	4	C15:7D4.4C4	480,366
C₁₅⋊₇D₄.₅C₄ = D₆₀.₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	240	4	C15:7D4.5C4	480,367
C₁₅⋊₇D₄.₆C₄ = D₆₀.₆C₄	φ: trivial image	240	2	C15:7D4.6C4	480,866

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