Extensions 1→N→G→Q→1 with N=C₄² and Q=D₁₅

Direct product G=N×Q with N=C₄² and Q=D₁₅

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

Semidirect products G=N:Q with N=C₄² and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊D₁₅ = C₄²⋊D₁₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₄²	60	6+	C4^2:D15	480,258
C₄²⋊₂D₁₅ = C₄²⋊₂D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:2D15	480,837
C₄²⋊₃D₁₅ = C₄²⋊₃D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:3D15	480,841
C₄²⋊₄D₁₅ = D₆₀⋊₇C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	120	2	C4^2:4D15	480,165
C₄²⋊₅D₁₅ = C₄×D₆₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:5D15	480,838
C₄²⋊₆D₁₅ = C₄²⋊₆D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:6D15	480,839
C₄²⋊₇D₁₅ = C₄²⋊₇D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:7D15	480,840

Non-split extensions G=N.Q with N=C₄² and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁D₁₅ = C₄².D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.1D15	480,163
C₄².₂D₁₅ = C₆₀⋊₅C₈	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.2D15	480,164
C₄².₃D₁₅ = C₄×Dic₃₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.3D15	480,833
C₄².₄D₁₅ = C₆₀⋊₈Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.4D15	480,834
C₄².₅D₁₅ = C₆₀.₂₄Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.5D15	480,835
C₄².₆D₁₅ = C₄×C₁₅⋊₃C₈	central extension (φ=1)	480		C4^2.6D15	480,162

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