Extensions 1→N→G→Q→1 with N=C₈ and Q=D₇

Direct product G=N×Q with N=C₈ and Q=D₇

		d	ρ	Label	ID
C₈×D₇		56	2	C8xD7	112,3

Semidirect products G=N:Q with N=C₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₇ = D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₈	56	2+	C8:1D7	112,6
C₈⋊₂D₇ = C₅₆⋊C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₈	56	2	C8:2D7	112,5
C₈⋊₃D₇ = C₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₈	56	2	C8:3D7	112,4

Non-split extensions G=N.Q with N=C₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.D₇ = Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₈	112	2-	C8.D7	112,7
C₈.₂D₇ = C₇⋊C₁₆	central extension (φ=1)	112	2	C8.2D7	112,1

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Extensions 1→N→G→Q→1 with N=C8 and Q=D7