Extensions 1→N→G→Q→1 with N=C₃₀ and Q=Dic₃

Direct product G=N×Q with N=C₃₀ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₃₀		120		Dic3xC30	360,98

Semidirect products G=N:Q with N=C₃₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊₁Dic₃ = C₂×C₃²⋊₃F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃₀	90		C30:1Dic3	360,147
C₃₀⋊₂Dic₃ = C₆×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃₀	60	4	C30:2Dic3	360,146
C₃₀⋊₃Dic₃ = C₂×C₃⋊Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	360		C30:3Dic3	360,113
C₃₀⋊₄Dic₃ = C₆×Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	120		C30:4Dic3	360,103
C₃₀⋊₅Dic₃ = C₁₀×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	360		C30:5Dic3	360,108

Non-split extensions G=N.Q with N=C₃₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁Dic₃ = C₄₅⋊C₈	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃₀	360	4	C30.1Dic3	360,6
C₃₀.₂Dic₃ = C₂×C₉⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃₀	90	4	C30.2Dic3	360,44
C₃₀.₃Dic₃ = C₃₀.Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃₀	360		C30.3Dic3	360,54
C₃₀.₄Dic₃ = C₃×C₁₅⋊C₈	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃₀	120	4	C30.4Dic3	360,53
C₃₀.₅Dic₃ = C₄₅⋊₃C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	360	2	C30.5Dic3	360,3
C₃₀.₆Dic₃ = C₂×Dic₄₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	360		C30.6Dic3	360,28
C₃₀.₇Dic₃ = C₆₀.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	360		C30.7Dic3	360,37
C₃₀.₈Dic₃ = C₃×C₁₅⋊₃C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	120	2	C30.8Dic3	360,35
C₃₀.₉Dic₃ = C₅×C₉⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	360	2	C30.9Dic3	360,1
C₃₀.₁₀Dic₃ = C₁₀×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	360		C30.10Dic3	360,23
C₃₀.₁₁Dic₃ = C₅×C₃²⋊₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₀	360		C30.11Dic3	360,36
C₃₀.₁₂Dic₃ = C₁₅×C₃⋊C₈	central extension (φ=1)	120	2	C30.12Dic3	360,34

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