Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×D₁₅

Direct product G=N×Q with N=C₄ and Q=C₄×D₁₅

		d	ρ	Label	ID
C₄²×D₁₅		240		C4^2xD15	480,836

Semidirect products G=N:Q with N=C₄ and Q=C₄×D₁₅

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(C₄×D₁₅) = D₆₀⋊₁₁C₄	φ: C₄×D₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	240	C4:1(C4xD15)	480,858
C₄⋊₂(C₄×D₁₅) = C₄×D₆₀	φ: C₄×D₁₅/C₆₀ → C₂ ⊆ Aut C₄	240	C4:2(C4xD15)	480,838
C₄⋊₃(C₄×D₁₅) = C₄⋊C₄×D₁₅	φ: C₄×D₁₅/D₃₀ → C₂ ⊆ Aut C₄	240	C4:3(C4xD15)	480,856

Non-split extensions G=N.Q with N=C₄ and Q=C₄×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄×D₁₅) = D₆₀⋊₉C₄	φ: C₄×D₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	240		C4.1(C4xD15)	480,169
C₄.₂(C₄×D₁₅) = Dic₃₀⋊₉C₄	φ: C₄×D₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.2(C4xD15)	480,170
C₄.₃(C₄×D₁₅) = D₆₀⋊₁₀C₄	φ: C₄×D₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	120	4	C4.3(C4xD15)	480,185
C₄.₄(C₄×D₁₅) = Dic₁₅⋊₁₀Q₈	φ: C₄×D₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.4(C4xD15)	480,852
C₄.₅(C₄×D₁₅) = D₆₀.₃C₄	φ: C₄×D₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	240	4	C4.5(C4xD15)	480,872
C₄.₆(C₄×D₁₅) = D₆₀⋊₇C₄	φ: C₄×D₁₅/C₆₀ → C₂ ⊆ Aut C₄	120	2	C4.6(C4xD15)	480,165
C₄.₇(C₄×D₁₅) = Dic₃₀⋊₈C₄	φ: C₄×D₁₅/C₆₀ → C₂ ⊆ Aut C₄	480		C4.7(C4xD15)	480,176
C₄.₈(C₄×D₁₅) = D₆₀⋊₈C₄	φ: C₄×D₁₅/C₆₀ → C₂ ⊆ Aut C₄	240		C4.8(C4xD15)	480,181
C₄.₉(C₄×D₁₅) = C₄×Dic₃₀	φ: C₄×D₁₅/C₆₀ → C₂ ⊆ Aut C₄	480		C4.9(C4xD15)	480,833
C₄.₁₀(C₄×D₁₅) = D₆₀.₆C₄	φ: C₄×D₁₅/C₆₀ → C₂ ⊆ Aut C₄	240	2	C4.10(C4xD15)	480,866
C₄.₁₁(C₄×D₁₅) = C₆₀.₁Q₈	φ: C₄×D₁₅/D₃₀ → C₂ ⊆ Aut C₄	480		C4.11(C4xD15)	480,167
C₄.₁₂(C₄×D₁₅) = C₆₀.₂Q₈	φ: C₄×D₁₅/D₃₀ → C₂ ⊆ Aut C₄	480		C4.12(C4xD15)	480,168
C₄.₁₃(C₄×D₁₅) = C₆₀.₂₁₀D₄	φ: C₄×D₁₅/D₃₀ → C₂ ⊆ Aut C₄	240	4	C4.13(C4xD15)	480,182
C₄.₁₄(C₄×D₁₅) = C₄⋊C₄⋊₇D₁₅	φ: C₄×D₁₅/D₃₀ → C₂ ⊆ Aut C₄	240		C4.14(C4xD15)	480,857
C₄.₁₅(C₄×D₁₅) = M₄(2)×D₁₅	φ: C₄×D₁₅/D₃₀ → C₂ ⊆ Aut C₄	120	4	C4.15(C4xD15)	480,871
C₄.₁₆(C₄×D₁₅) = C₁₆×D₁₅	central extension (φ=1)	240	2	C4.16(C4xD15)	480,157
C₄.₁₇(C₄×D₁₅) = C₈₀⋊S₃	central extension (φ=1)	240	2	C4.17(C4xD15)	480,158
C₄.₁₈(C₄×D₁₅) = C₄×C₁₅⋊₃C₈	central extension (φ=1)	480		C4.18(C4xD15)	480,162
C₄.₁₉(C₄×D₁₅) = C₄².D₁₅	central extension (φ=1)	480		C4.19(C4xD15)	480,163
C₄.₂₀(C₄×D₁₅) = C₈×Dic₁₅	central extension (φ=1)	480		C4.20(C4xD15)	480,173
C₄.₂₁(C₄×D₁₅) = C₁₂₀⋊₁₃C₄	central extension (φ=1)	480		C4.21(C4xD15)	480,175
C₄.₂₂(C₄×D₁₅) = C₄²⋊₂D₁₅	central extension (φ=1)	240		C4.22(C4xD15)	480,837
C₄.₂₃(C₄×D₁₅) = C₂×C₈×D₁₅	central extension (φ=1)	240		C4.23(C4xD15)	480,864
C₄.₂₄(C₄×D₁₅) = C₂×C₄₀⋊S₃	central extension (φ=1)	240		C4.24(C4xD15)	480,865

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Extensions 1→N→G→Q→1 with N=C4 and Q=C4×D15

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×D₁₅