Extensions 1→N→G→Q→1 with N=C₇ and Q=C₅₄

Direct product G=N×Q with N=C₇ and Q=C₅₄

		d	ρ	Label	ID
C₃₇₈		378	1	C378	378,6

Semidirect products G=N:Q with N=C₇ and Q=C₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊C₅₄ = C₇⋊C₅₄	φ: C₅₄/C₉ → C₆ ⊆ Aut C₇	189	6	C7:C54	378,1
C₇⋊₂C₅₄ = C₂×C₇⋊C₂₇	φ: C₅₄/C₁₈ → C₃ ⊆ Aut C₇	378	3	C7:2C54	378,2
C₇⋊₃C₅₄ = D₇×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₇	189	2	C7:3C54	378,4

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