Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₃xD₅

Direct product G=NxQ with N=C₂⁴ and Q=C₃xD₅

		d	ρ	Label	ID
D₅xC₂³xC₆		240		D5xC2^3xC6	480,1210

Semidirect products G=N:Q with N=C₂⁴ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴:(C₃xD₅) = F₁₆:C₂	φ: C₃xD₅/C₁ → C₃xD₅ ⊆ Aut C₂⁴	16	15+	C2^4:(C3xD5)	480,1188
C₂⁴:₂(C₃xD₅) = C₃xC₂⁴:D₅	φ: C₃xD₅/C₃ → D₅ ⊆ Aut C₂⁴	30	5	C2^4:2(C3xD5)	480,1194
C₂⁴:₃(C₃xD₅) = (C₂²xD₅):A₄	φ: C₃xD₅/C₅ → C₆ ⊆ Aut C₂⁴	40	6	C2^4:3(C3xD5)	480,268
C₂⁴:₄(C₃xD₅) = A₄xC₅:D₄	φ: C₃xD₅/C₅ → C₆ ⊆ Aut C₂⁴	60	6	C2^4:4(C3xD5)	480,1045
C₂⁴:₅(C₃xD₅) = C₂²xD₅xA₄	φ: C₃xD₅/D₅ → C₃ ⊆ Aut C₂⁴	60		C2^4:5(C3xD5)	480,1202
C₂⁴:₆(C₃xD₅) = D₅xC₂²:A₄	φ: C₃xD₅/D₅ → C₃ ⊆ Aut C₂⁴	60		C2^4:6(C3xD5)	480,1203
C₂⁴:₇(C₃xD₅) = C₃xC₂⁴:₂D₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂⁴	120		C2^4:7(C3xD5)	480,746
C₂⁴:₈(C₃xD₅) = C₂xC₆xC₅:D₄	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4:8(C3xD5)	480,1149

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.(C₃xD₅) = C₂xA₄xDic₅	φ: C₃xD₅/D₅ → C₃ ⊆ Aut C₂⁴	120		C2^4.(C3xD5)	480,1044
C₂⁴.₂(C₃xD₅) = C₆xC₂³.D₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂⁴	240		C2^4.2(C3xD5)	480,745
C₂⁴.₃(C₃xD₅) = Dic₅xC₂²xC₆	central extension (φ=1)	480		C2^4.3(C3xD5)	480,1148

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