Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₃₀

Direct product G=N×Q with N=C₂³ and Q=D₃₀

		d	ρ	Label	ID
C₂⁴×D₁₅		240		C2^4xD15	480,1212

Semidirect products G=N:Q with N=C₂³ and Q=D₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₃₀ = C₂²×C₅⋊S₄	φ: D₃₀/C₁₀ → S₃ ⊆ Aut C₂³	60		C2^3:D30	480,1199
C₂³⋊₂D₃₀ = D₃₀⋊₁₇D₄	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	120		C2^3:2D30	480,902
C₂³⋊₃D₃₀ = D₄⋊₆D₃₀	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	120	4	C2^3:3D30	480,1171
C₂³⋊₄D₃₀ = C₂×D₄×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	120		C2^3:4D30	480,1169
C₂³⋊₅D₃₀ = C₂²×C₁₅⋊₇D₄	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3:5D30	480,1179

Non-split extensions G=N.Q with N=C₂³ and Q=D₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₃₀ = C₂₀.₁S₄	φ: D₃₀/C₁₀ → S₃ ⊆ Aut C₂³	120	6-	C2^3.1D30	480,1024
C₂³.₂D₃₀ = C₄×C₅⋊S₄	φ: D₃₀/C₁₀ → S₃ ⊆ Aut C₂³	60	6	C2^3.2D30	480,1025
C₂³.₃D₃₀ = C₂₀⋊S₄	φ: D₃₀/C₁₀ → S₃ ⊆ Aut C₂³	60	6+	C2^3.3D30	480,1026
C₂³.₄D₃₀ = C₂×A₄⋊Dic₅	φ: D₃₀/C₁₀ → S₃ ⊆ Aut C₂³	120		C2^3.4D30	480,1033
C₂³.₅D₃₀ = C₂⁴⋊₂D₁₅	φ: D₃₀/C₁₀ → S₃ ⊆ Aut C₂³	60	6	C2^3.5D30	480,1034
C₂³.₆D₃₀ = C₂³.₆D₃₀	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	120	4	C2^3.6D30	480,166
C₂³.₇D₃₀ = C₂³.₇D₃₀	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	120	4	C2^3.7D30	480,194
C₂³.₈D₃₀ = C₂³.₈D₃₀	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	240		C2^3.8D30	480,844
C₂³.₉D₃₀ = D₃₀.₂₈D₄	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	240		C2^3.9D30	480,848
C₂³.₁₀D₃₀ = D₃₀⋊₉D₄	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	240		C2^3.10D30	480,849
C₂³.₁₁D₃₀ = C₂³.₁₁D₃₀	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	240		C2^3.11D30	480,850
C₂³.₁₂D₃₀ = C₆₀.₁₇D₄	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	240		C2^3.12D30	480,901
C₂³.₁₃D₃₀ = C₆₀⋊₂D₄	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	240		C2^3.13D30	480,903
C₂³.₁₄D₃₀ = C₆₀⋊₃D₄	φ: D₃₀/C₁₅ → C₂² ⊆ Aut C₂³	240		C2^3.14D30	480,905
C₂³.₁₅D₃₀ = C₂³.₁₅D₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	240		C2^3.15D30	480,842
C₂³.₁₆D₃₀ = C₂²⋊₂Dic₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	240		C2^3.16D30	480,843
C₂³.₁₇D₃₀ = C₂²⋊C₄×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	120		C2^3.17D30	480,845
C₂³.₁₈D₃₀ = Dic₁₅⋊₁₉D₄	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	240		C2^3.18D30	480,846
C₂³.₁₉D₃₀ = D₃₀⋊₁₆D₄	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	120		C2^3.19D30	480,847
C₂³.₂₀D₃₀ = C₂².D₆₀	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	240		C2^3.20D30	480,851
C₂³.₂₁D₃₀ = D₄×Dic₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	240		C2^3.21D30	480,899
C₂³.₂₂D₃₀ = C₂³.₂₂D₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	240		C2^3.22D30	480,900
C₂³.₂₃D₃₀ = Dic₁₅⋊₁₂D₄	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	240		C2^3.23D30	480,904
C₂³.₂₄D₃₀ = C₂×D₄⋊₂D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂³	240		C2^3.24D30	480,1170
C₂³.₂₅D₃₀ = C₆₀.₂₀₅D₄	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.25D30	480,889
C₂³.₂₆D₃₀ = C₂³.₂₆D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.26D30	480,891
C₂³.₂₇D₃₀ = C₄×C₁₅⋊₇D₄	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.27D30	480,893
C₂³.₂₈D₃₀ = C₂³.₂₈D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.28D30	480,894
C₂³.₂₉D₃₀ = C₆₀⋊₂₉D₄	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.29D30	480,895
C₂³.₃₀D₃₀ = C₂×C₃₀.₃₈D₄	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.30D30	480,917
C₂³.₃₁D₃₀ = C₂⁴⋊₅D₁₅	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	120		C2^3.31D30	480,918
C₂³.₃₂D₃₀ = C₂×D₆₀⋊₁₁C₂	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.32D30	480,1168
C₂³.₃₃D₃₀ = C₃₀.₂₉C₄²	central extension (φ=1)	480		C2^3.33D30	480,191
C₂³.₃₄D₃₀ = C₂×C₄×Dic₁₅	central extension (φ=1)	480		C2^3.34D30	480,887
C₂³.₃₅D₃₀ = C₂×C₃₀.₄Q₈	central extension (φ=1)	480		C2^3.35D30	480,888
C₂³.₃₆D₃₀ = C₂×C₆₀⋊₅C₄	central extension (φ=1)	480		C2^3.36D30	480,890
C₂³.₃₇D₃₀ = C₂×D₃₀⋊₃C₄	central extension (φ=1)	240		C2^3.37D30	480,892
C₂³.₃₈D₃₀ = C₂²×Dic₃₀	central extension (φ=1)	480		C2^3.38D30	480,1165
C₂³.₃₉D₃₀ = C₂²×C₄×D₁₅	central extension (φ=1)	240		C2^3.39D30	480,1166
C₂³.₄₀D₃₀ = C₂²×D₆₀	central extension (φ=1)	240		C2^3.40D30	480,1167
C₂³.₄₁D₃₀ = C₂³×Dic₁₅	central extension (φ=1)	480		C2^3.41D30	480,1178

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Extensions 1→N→G→Q→1 with N=C23 and Q=D30

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₃₀