Extensions 1→N→G→Q→1 with N=C₂₈ and Q=D₇

Direct product G=N×Q with N=C₂₈ and Q=D₇

		d	ρ	Label	ID
D₇×C₂₈		56	2	D7xC28	392,24

Semidirect products G=N:Q with N=C₂₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊₁D₇ = C₂₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	196		C28:1D7	392,30
C₂₈⋊₂D₇ = C₄×C₇⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	196		C28:2D7	392,29
C₂₈⋊₃D₇ = C₇×D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	56	2	C28:3D7	392,25

Non-split extensions G=N.Q with N=C₂₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁D₇ = Dic₉₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	392	2-	C28.1D7	392,3
C₂₈.₂D₇ = D₁₉₆	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	196	2+	C28.2D7	392,5
C₂₈.₃D₇ = C₇²⋊₄Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	392		C28.3D7	392,28
C₂₈.₄D₇ = C₄₉⋊C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	392	2	C28.4D7	392,1
C₂₈.₅D₇ = C₄×D₄₉	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	196	2	C28.5D7	392,4
C₂₈.₆D₇ = C₇²⋊₄C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	392		C28.6D7	392,15
C₂₈.₇D₇ = C₇×Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂₈	56	2	C28.7D7	392,23
C₂₈.₈D₇ = C₇×C₇⋊C₈	central extension (φ=1)	56	2	C28.8D7	392,14

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