Extensions 1→N→G→Q→1 with N=D₅₄ and Q=C₄

Direct product G=N×Q with N=D₅₄ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×D₂₇		216		C2xC4xD27	432,44

Semidirect products G=N:Q with N=D₅₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₄⋊C₄ = D₅₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₄	216		D54:C4	432,14

Non-split extensions G=N.Q with N=D₅₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₄.C₄ = C₈⋊D₂₇	φ: C₄/C₂ → C₂ ⊆ Out D₅₄	216	2	D54.C4	432,6
D₅₄.₂C₄ = C₈×D₂₇	φ: trivial image	216	2	D54.2C4	432,5

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Extensions 1→N→G→Q→1 with N=D54 and Q=C4