Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄×D₇

Direct product G=N×Q with N=C₇ and Q=C₄×D₇

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

Semidirect products G=N:Q with N=C₇ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄×D₇) = Dic₇⋊₂D₇	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₇	28	4+	C7:1(C4xD7)	392,19
C₇⋊₂(C₄×D₇) = C₄×C₇⋊D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₇	196		C7:2(C4xD7)	392,29
C₇⋊₃(C₄×D₇) = D₇×Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₇	56	4-	C7:3(C4xD7)	392,18

Non-split extensions G=N.Q with N=C₇ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.(C₄×D₇) = C₄×D₄₉	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₇	196	2	C7.(C4xD7)	392,4

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Extensions 1→N→G→Q→1 with N=C7 and Q=C4×D7