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Extensions 1→N→G→Q→1 with N=C₁₅ and Q=2₊⁽¹⁺⁴⁾

Direct product G=N×Q with N=C₁₅ and Q=2₊⁽¹⁺⁴⁾

		d	ρ	Label	ID
C₁₅×2₊⁽¹⁺⁴⁾		120	4	C15xES+(2,2)	480,1184

Semidirect products G=N:Q with N=C₁₅ and Q=2₊⁽¹⁺⁴⁾

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁2₊⁽¹⁺⁴⁾ = D₂₀⋊₂₅D₆	φ: 2₊⁽¹⁺⁴⁾/C₂×C₄ → C₂² ⊆ Aut C₁₅	120	4	C15:1ES+(2,2)	480,1093
C₁₅⋊₂2₊⁽¹⁺⁴⁾ = D₂₀⋊₂₆D₆	φ: 2₊⁽¹⁺⁴⁾/C₂×C₄ → C₂² ⊆ Aut C₁₅	120	4	C15:2ES+(2,2)	480,1094
C₁₅⋊₃2₊⁽¹⁺⁴⁾ = D₂₀⋊₂₉D₆	φ: 2₊⁽¹⁺⁴⁾/C₂×C₄ → C₂² ⊆ Aut C₁₅	120	4+	C15:3ES+(2,2)	480,1095
C₁₅⋊₄2₊⁽¹⁺⁴⁾ = D₂₀⋊₁₃D₆	φ: 2₊⁽¹⁺⁴⁾/D₄ → C₂² ⊆ Aut C₁₅	120	8-	C15:4ES+(2,2)	480,1101
C₁₅⋊₅2₊⁽¹⁺⁴⁾ = D₂₀⋊₁₄D₆	φ: 2₊⁽¹⁺⁴⁾/D₄ → C₂² ⊆ Aut C₁₅	120	8+	C15:5ES+(2,2)	480,1102
C₁₅⋊₆2₊⁽¹⁺⁴⁾ = D₁₂⋊₁₄D₁₀	φ: 2₊⁽¹⁺⁴⁾/D₄ → C₂² ⊆ Aut C₁₅	120	8+	C15:6ES+(2,2)	480,1103
C₁₅⋊₇2₊⁽¹⁺⁴⁾ = D₂₀⋊₁₇D₆	φ: 2₊⁽¹⁺⁴⁾/Q₈ → C₂² ⊆ Aut C₁₅	120	8+	C15:7ES+(2,2)	480,1111
C₁₅⋊₈2₊⁽¹⁺⁴⁾ = C₁₅⋊2₊⁽¹⁺⁴⁾	φ: 2₊⁽¹⁺⁴⁾/C₂³ → C₂² ⊆ Aut C₁₅	120	4	C15:8ES+(2,2)	480,1125
C₁₅⋊₉2₊⁽¹⁺⁴⁾ = D₄⋊₆D₃₀	φ: 2₊⁽¹⁺⁴⁾/C₂×D₄ → C₂ ⊆ Aut C₁₅	120	4	C15:9ES+(2,2)	480,1171
C₁₅⋊₁₀2₊⁽¹⁺⁴⁾ = C₃×D₄⋊₆D₁₀	φ: 2₊⁽¹⁺⁴⁾/C₂×D₄ → C₂ ⊆ Aut C₁₅	120	4	C15:10ES+(2,2)	480,1141
C₁₅⋊₁₁2₊⁽¹⁺⁴⁾ = C₅×D₄⋊₆D₆	φ: 2₊⁽¹⁺⁴⁾/C₂×D₄ → C₂ ⊆ Aut C₁₅	120	4	C15:11ES+(2,2)	480,1156
C₁₅⋊₁₂2₊⁽¹⁺⁴⁾ = D₄⋊₈D₃₀	φ: 2₊⁽¹⁺⁴⁾/C₄○D₄ → C₂ ⊆ Aut C₁₅	120	4+	C15:12ES+(2,2)	480,1176
C₁₅⋊₁₃2₊⁽¹⁺⁴⁾ = C₃×D₄⋊₈D₁₀	φ: 2₊⁽¹⁺⁴⁾/C₄○D₄ → C₂ ⊆ Aut C₁₅	120	4	C15:13ES+(2,2)	480,1146
C₁₅⋊₁₄2₊⁽¹⁺⁴⁾ = C₅×D₄○D₁₂	φ: 2₊⁽¹⁺⁴⁾/C₄○D₄ → C₂ ⊆ Aut C₁₅	120	4	C15:14ES+(2,2)	480,1161

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