Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₇

Direct product G=N×Q with N=C₈ and Q=Dic₇

		d	ρ	Label	ID
C₈×Dic₇		224		C8xDic7	224,19

Semidirect products G=N:Q with N=C₈ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁Dic₇ = C₅₆⋊₁C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₈	224		C8:1Dic7	224,24
C₈⋊₂Dic₇ = C₈⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₈	224		C8:2Dic7	224,23
C₈⋊₃Dic₇ = C₅₆⋊C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₈	224		C8:3Dic7	224,21

Non-split extensions G=N.Q with N=C₈ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₇ = C₅₆.C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.1Dic7	224,25
C₈.₂Dic₇ = C₂₈.C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.2Dic7	224,18
C₈.₃Dic₇ = C₇⋊C₃₂	central extension (φ=1)	224	2	C8.3Dic7	224,1
C₈.₄Dic₇ = C₂×C₇⋊C₁₆	central extension (φ=1)	224		C8.4Dic7	224,17

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