Extensions 1→N→G→Q→1 with N=C₁₅⋊Q₈ and Q=C₂²

Direct product G=N×Q with N=C₁₅⋊Q₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₅⋊Q₈		480		C2^2xC15:Q8	480,1121

Semidirect products G=N:Q with N=C₁₅⋊Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊Q₈⋊₁C₂² = D₅×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊Q₈	120	8-	C15:Q8:1C2^2	480,1098
C₁₅⋊Q₈⋊₂C₂² = S₃×D₄⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊Q₈	120	8-	C15:Q8:2C2^2	480,1099
C₁₅⋊Q₈⋊₃C₂² = D₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊Q₈	120	8+	C15:Q8:3C2^2	480,1100
C₁₅⋊Q₈⋊₄C₂² = S₃×Q₈×D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊Q₈	120	8-	C15:Q8:4C2^2	480,1107
C₁₅⋊Q₈⋊₅C₂² = C₁₅⋊2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊Q₈	120	4	C15:Q8:5C2^2	480,1125
C₁₅⋊Q₈⋊₆C₂² = C₂×D₅×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240		C15:Q8:6C2^2	480,1073
C₁₅⋊Q₈⋊₇C₂² = C₂×S₃×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240		C15:Q8:7C2^2	480,1078
C₁₅⋊Q₈⋊₈C₂² = C₂×D₁₅⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240		C15:Q8:8C2^2	480,1082
C₁₅⋊Q₈⋊₉C₂² = D₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	120	4	C15:Q8:9C2^2	480,1090
C₁₅⋊Q₈⋊₁₀C₂² = S₃×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	120	4	C15:Q8:10C2^2	480,1091
C₁₅⋊Q₈⋊₁₁C₂² = D₂₀⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	120	4	C15:Q8:11C2^2	480,1092
C₁₅⋊Q₈⋊₁₂C₂² = D₂₀⋊₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	120	8-	C15:Q8:12C2^2	480,1101
C₁₅⋊Q₈⋊₁₃C₂² = D₂₀⋊₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	120	8+	C15:Q8:13C2^2	480,1102
C₁₅⋊Q₈⋊₁₄C₂² = D₁₂⋊₁₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	120	8+	C15:Q8:14C2^2	480,1103
C₁₅⋊Q₈⋊₁₅C₂² = C₂×Dic₅.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240		C15:Q8:15C2^2	480,1113
C₁₅⋊Q₈⋊₁₆C₂² = C₂×C₃₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240		C15:Q8:16C2^2	480,1114
C₁₅⋊Q₈⋊₁₇C₂² = C₂×Dic₃.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240		C15:Q8:17C2^2	480,1116
C₁₅⋊Q₈⋊₁₈C₂² = C₂×D₆.D₁₀	φ: trivial image	240		C15:Q8:18C2^2	480,1083
C₁₅⋊Q₈⋊₁₉C₂² = D₂₀⋊₁₇D₆	φ: trivial image	120	8+	C15:Q8:19C2^2	480,1111

Non-split extensions G=N.Q with N=C₁₅⋊Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊Q₈.₁C₂² = D₂₀.₃₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊Q₈	240	4	C15:Q8.1C2^2	480,1076
C₁₅⋊Q₈.₂C₂² = D₂₀.₃₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊Q₈	240	4-	C15:Q8.2C2^2	480,1077
C₁₅⋊Q₈.₃C₂² = C₃₀.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊Q₈	240	4	C15:Q8.3C2^2	480,1080
C₁₅⋊Q₈.₄C₂² = C₁₅⋊2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240	8-	C15:Q8.4C2^2	480,1096
C₁₅⋊Q₈.₅C₂² = D₂₀.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240	8-	C15:Q8.5C2^2	480,1104
C₁₅⋊Q₈.₆C₂² = C₃₀.₃₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240	8+	C15:Q8.6C2^2	480,1105
C₁₅⋊Q₈.₇C₂² = D₁₂.₂₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊Q₈	240	8-	C15:Q8.7C2^2	480,1106

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