Extensions 1→N→G→Q→1 with N=C₇ and Q=C₇×D₄

Direct product G=N×Q with N=C₇ and Q=C₇×D₄

		d	ρ	Label	ID
D₄×C₇²		196		D4xC7^2	392,34

Semidirect products G=N:Q with N=C₇ and Q=C₇×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₇×D₄) = C₇×D₂₈	φ: C₇×D₄/C₂₈ → C₂ ⊆ Aut C₇	56	2	C7:1(C7xD4)	392,25
C₇⋊₂(C₇×D₄) = C₇×C₇⋊D₄	φ: C₇×D₄/C₂×C₁₄ → C₂ ⊆ Aut C₇	28	2	C7:2(C7xD4)	392,27

Non-split extensions G=N.Q with N=C₇ and Q=C₇×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.(C₇×D₄) = D₄×C₄₉	central extension (φ=1)	196	2	C7.(C7xD4)	392,9

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Extensions 1→N→G→Q→1 with N=C7 and Q=C7×D4