Extensions 1→N→G→Q→1 with N=C₁₅⋊D₄ and Q=C₂²

Direct product G=N×Q with N=C₁₅⋊D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₅⋊D₄		240		C2^2xC15:D4	480,1118

Semidirect products G=N:Q with N=C₁₅⋊D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊D₄⋊₁C₂² = D₂₀⋊₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊D₄	120	4	C15:D4:1C2^2	480,1093
C₁₅⋊D₄⋊₂C₂² = D₂₀⋊₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊D₄	120	4	C15:D4:2C2^2	480,1094
C₁₅⋊D₄⋊₃C₂² = S₃×D₄×D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊D₄	60	8+	C15:D4:3C2^2	480,1097
C₁₅⋊D₄⋊₄C₂² = D₅×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊D₄	120	8-	C15:D4:4C2^2	480,1098
C₁₅⋊D₄⋊₅C₂² = S₃×D₄⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊D₄	120	8-	C15:D4:5C2^2	480,1099
C₁₅⋊D₄⋊₆C₂² = D₂₀⋊₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊D₄	120	8-	C15:D4:6C2^2	480,1110
C₁₅⋊D₄⋊₇C₂² = C₁₅⋊2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊D₄	120	4	C15:D4:7C2^2	480,1125
C₁₅⋊D₄⋊₈C₂² = C₂×D₂₀⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240		C15:D4:8C2^2	480,1074
C₁₅⋊D₄⋊₉C₂² = C₂×D₁₂⋊₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240		C15:D4:9C2^2	480,1084
C₁₅⋊D₄⋊₁₀C₂² = C₂×C₂₀⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120		C15:D4:10C2^2	480,1089
C₁₅⋊D₄⋊₁₁C₂² = D₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120	4	C15:D4:11C2^2	480,1090
C₁₅⋊D₄⋊₁₂C₂² = S₃×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120	4	C15:D4:12C2^2	480,1091
C₁₅⋊D₄⋊₁₃C₂² = D₂₀⋊₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120	4	C15:D4:13C2^2	480,1092
C₁₅⋊D₄⋊₁₄C₂² = D₂₀⋊₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120	8-	C15:D4:14C2^2	480,1101
C₁₅⋊D₄⋊₁₅C₂² = D₂₀⋊₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120	8+	C15:D4:15C2^2	480,1102
C₁₅⋊D₄⋊₁₆C₂² = D₁₂⋊₁₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120	8+	C15:D4:16C2^2	480,1103
C₁₅⋊D₄⋊₁₇C₂² = D₂₀⋊₁₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120	8+	C15:D4:17C2^2	480,1111
C₁₅⋊D₄⋊₁₈C₂² = C₂×C₃₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240		C15:D4:18C2^2	480,1114
C₁₅⋊D₄⋊₁₉C₂² = C₂×D₅×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120		C15:D4:19C2^2	480,1122
C₁₅⋊D₄⋊₂₀C₂² = C₂×S₃×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	120		C15:D4:20C2^2	480,1123
C₁₅⋊D₄⋊₂₁C₂² = C₂×D₆.D₁₀	φ: trivial image	240		C15:D4:21C2^2	480,1083

Non-split extensions G=N.Q with N=C₁₅⋊D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊D₄.C₂² = D₂₀.₃₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊D₄	240	4-	C15:D4.C2^2	480,1077
C₁₅⋊D₄.₂C₂² = C₁₅⋊2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240	8-	C15:D4.2C2^2	480,1096
C₁₅⋊D₄.₃C₂² = D₂₀.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240	8-	C15:D4.3C2^2	480,1104
C₁₅⋊D₄.₄C₂² = D₁₂.₂₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240	8-	C15:D4.4C2^2	480,1106
C₁₅⋊D₄.₅C₂² = C₃₀.₃₃C₂⁴	φ: trivial image	240	8+	C15:D4.5C2^2	480,1105

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Extensions 1→N→G→Q→1 with N=C15⋊D4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₅⋊D₄ and Q=C₂²