Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Dic₇

Direct product G=N×Q with N=C₁₀ and Q=Dic₇

		d	ρ	Label	ID
C₁₀×Dic₇		280		C10xDic7	280,17

Semidirect products G=N:Q with N=C₁₀ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊Dic₇ = C₂×C₇⋊F₅	φ: Dic₇/C₇ → C₄ ⊆ Aut C₁₀	70	4	C10:Dic7	280,35
C₁₀⋊₂Dic₇ = C₂×Dic₃₅	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₀	280		C10:2Dic7	280,27

Non-split extensions G=N.Q with N=C₁₀ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.Dic₇ = C₃₅⋊C₈	φ: Dic₇/C₇ → C₄ ⊆ Aut C₁₀	280	4	C10.Dic7	280,6
C₁₀.₂Dic₇ = C₃₅⋊₃C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₀	280	2	C10.2Dic7	280,3
C₁₀.₃Dic₇ = C₅×C₇⋊C₈	central extension (φ=1)	280	2	C10.3Dic7	280,2

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Extensions 1→N→G→Q→1 with N=C10 and Q=Dic7