Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₃×D₅

Direct product G=N×Q with N=C₂⁴ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₂³×C₆		240		D5xC2^3xC6	480,1210

Semidirect products G=N:Q with N=C₂⁴ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊(C₃×D₅) = F₁₆⋊C₂	φ: C₃×D₅/C₁ → C₃×D₅ ⊆ Aut C₂⁴	16	15+	C2^4:(C3xD5)	480,1188
C₂⁴⋊₂(C₃×D₅) = C₃×C₂⁴⋊D₅	φ: C₃×D₅/C₃ → D₅ ⊆ Aut C₂⁴	30	5	C2^4:2(C3xD5)	480,1194
C₂⁴⋊₃(C₃×D₅) = (C₂²×D₅)⋊A₄	φ: C₃×D₅/C₅ → C₆ ⊆ Aut C₂⁴	40	6	C2^4:3(C3xD5)	480,268
C₂⁴⋊₄(C₃×D₅) = A₄×C₅⋊D₄	φ: C₃×D₅/C₅ → C₆ ⊆ Aut C₂⁴	60	6	C2^4:4(C3xD5)	480,1045
C₂⁴⋊₅(C₃×D₅) = C₂²×D₅×A₄	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₂⁴	60		C2^4:5(C3xD5)	480,1202
C₂⁴⋊₆(C₃×D₅) = D₅×C₂²⋊A₄	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₂⁴	60		C2^4:6(C3xD5)	480,1203
C₂⁴⋊₇(C₃×D₅) = C₃×C₂⁴⋊₂D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂⁴	120		C2^4:7(C3xD5)	480,746
C₂⁴⋊₈(C₃×D₅) = C₂×C₆×C₅⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4:8(C3xD5)	480,1149

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.(C₃×D₅) = C₂×A₄×Dic₅	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₂⁴	120		C2^4.(C3xD5)	480,1044
C₂⁴.₂(C₃×D₅) = C₆×C₂³.D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4.2(C3xD5)	480,745
C₂⁴.₃(C₃×D₅) = Dic₅×C₂²×C₆	central extension (φ=1)	480		C2^4.3(C3xD5)	480,1148

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