Extensions 1→N→G→Q→1 with N=D₃₀ and Q=C₂²

Direct product G=N×Q with N=D₃₀ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₁₅		120		C2^3xD15	240,207

Semidirect products G=N:Q with N=D₃₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀⋊₁C₂² = D₅×D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out D₃₀	60	4+	D30:1C2^2	240,136
D₃₀⋊₂C₂² = S₃×D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out D₃₀	60	4+	D30:2C2^2	240,137
D₃₀⋊₃C₂² = D₅×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₃₀	60	4	D30:3C2^2	240,149
D₃₀⋊₄C₂² = S₃×C₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₃₀	60	4	D30:4C2^2	240,150
D₃₀⋊₅C₂² = C₂×D₆₀	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120		D30:5C2^2	240,177
D₃₀⋊₆C₂² = D₄×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	60	4+	D30:6C2^2	240,179
D₃₀⋊₇C₂² = C₂×C₁₅⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120		D30:7C2^2	240,184
D₃₀⋊₈C₂² = C₂×C₃⋊D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120		D30:8C2^2	240,146
D₃₀⋊₉C₂² = C₂×C₅⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120		D30:9C2^2	240,147
D₃₀⋊₁₀C₂² = D₁₀⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	60	4+	D30:10C2^2	240,151
D₃₀⋊₁₁C₂² = C₂²×S₃×D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	60		D30:11C2^2	240,202

Non-split extensions G=N.Q with N=D₃₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.₁C₂² = D₆₀⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₃₀	120	4+	D30.1C2^2	240,130
D₃₀.₂C₂² = C₁₂.₂₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₃₀	120	4+	D30.2C2^2	240,134
D₃₀.₃C₂² = Dic₅.D₆	φ: C₂²/C₁ → C₂² ⊆ Out D₃₀	120	4	D30.3C2^2	240,140
D₃₀.₄C₂² = Dic₃.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₃₀	120	4	D30.4C2^2	240,143
D₃₀.₅C₂² = D₆₀⋊₁₁C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120	2	D30.5C2^2	240,178
D₃₀.₆C₂² = D₄⋊₂D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120	4-	D30.6C2^2	240,180
D₃₀.₇C₂² = Q₈⋊₃D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120	4+	D30.7C2^2	240,182
D₃₀.₈C₂² = D₂₀⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120	4	D30.8C2^2	240,127
D₃₀.₉C₂² = D₁₂⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120	4	D30.9C2^2	240,129
D₃₀.₁₀C₂² = D₁₅⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120	4	D30.10C2^2	240,131
D₃₀.₁₁C₂² = D₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120	4	D30.11C2^2	240,132
D₃₀.₁₂C₂² = C₄×S₃×D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	60	4	D30.12C2^2	240,135
D₃₀.₁₃C₂² = C₂₀⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	60	4	D30.13C2^2	240,138
D₃₀.₁₄C₂² = C₂×D₃₀.C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₃₀	120		D30.14C2^2	240,144
D₃₀.₁₅C₂² = C₂×C₄×D₁₅	φ: trivial image	120		D30.15C2^2	240,176
D₃₀.₁₆C₂² = Q₈×D₁₅	φ: trivial image	120	4-	D30.16C2^2	240,181

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