Extensions 1→N→G→Q→1 with N=C₈ and Q=D₃₀

Direct product G=N×Q with N=C₈ and Q=D₃₀

		d	ρ	Label	ID
C₂×C₈×D₁₅		240		C2xC8xD15	480,864

Semidirect products G=N:Q with N=C₈ and Q=D₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₃₀ = C₈⋊D₃₀	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₈	120	4+	C8:1D30	480,873
C₈⋊₂D₃₀ = D₈⋊D₁₅	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₈	120	4	C8:2D30	480,876
C₈⋊₃D₃₀ = Q₈⋊₃D₃₀	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₈	120	4+	C8:3D30	480,879
C₈⋊₄D₃₀ = D₈×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	120	4+	C8:4D30	480,875
C₈⋊₅D₃₀ = SD₁₆×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	120	4	C8:5D30	480,878
C₈⋊₆D₃₀ = M₄(2)×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	120	4	C8:6D30	480,871
C₈⋊₇D₃₀ = C₂×D₁₂₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	240		C8:7D30	480,868
C₈⋊₈D₃₀ = C₂×C₂₄⋊D₅	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	240		C8:8D30	480,867
C₈⋊₉D₃₀ = C₂×C₄₀⋊S₃	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	240		C8:9D30	480,865

Non-split extensions G=N.Q with N=C₈ and Q=D₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₃₀ = C₈.D₃₀	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₈	240	4-	C8.1D30	480,874
C₈.₂D₃₀ = SD₁₆⋊D₁₅	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₈	240	4-	C8.2D30	480,880
C₈.₃D₃₀ = Q₁₆⋊D₁₅	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₈	240	4	C8.3D30	480,883
C₈.₄D₃₀ = C₁₅⋊₇D₁₆	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	240	4+	C8.4D30	480,186
C₈.₅D₃₀ = D₈.D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	240	4-	C8.5D30	480,187
C₈.₆D₃₀ = C₈.₆D₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	240	4+	C8.6D30	480,188
C₈.₇D₃₀ = C₁₅⋊₇Q₃₂	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	480	4-	C8.7D30	480,189
C₈.₈D₃₀ = D₈⋊₃D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	240	4-	C8.8D30	480,877
C₈.₉D₃₀ = Q₁₆×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	240	4-	C8.9D30	480,882
C₈.₁₀D₃₀ = D₁₂₀⋊₈C₂	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	240	4+	C8.10D30	480,884
C₈.₁₁D₃₀ = D₄.₅D₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	240	4	C8.11D30	480,881
C₈.₁₂D₃₀ = D₆₀.₃C₄	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₈	240	4	C8.12D30	480,872
C₈.₁₃D₃₀ = D₂₄₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	240	2+	C8.13D30	480,159
C₈.₁₄D₃₀ = C₄₈⋊D₅	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.14D30	480,160
C₈.₁₅D₃₀ = Dic₁₂₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	480	2-	C8.15D30	480,161
C₈.₁₆D₃₀ = C₄₀.₆₉D₆	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.16D30	480,869
C₈.₁₇D₃₀ = C₂×Dic₆₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	480		C8.17D30	480,870
C₈.₁₈D₃₀ = D₆₀.₆C₄	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.18D30	480,866
C₈.₁₉D₃₀ = C₁₆×D₁₅	central extension (φ=1)	240	2	C8.19D30	480,157
C₈.₂₀D₃₀ = C₈₀⋊S₃	central extension (φ=1)	240	2	C8.20D30	480,158
C₈.₂₁D₃₀ = C₂×C₁₅⋊₃C₁₆	central extension (φ=1)	480		C8.21D30	480,171
C₈.₂₂D₃₀ = C₆₀.₇C₈	central extension (φ=1)	240	2	C8.22D30	480,172

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Extensions 1→N→G→Q→1 with N=C8 and Q=D30

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₃₀