Extensions 1→N→G→Q→1 with N=D₄₆ and Q=C₄

Direct product G=N×Q with N=D₄₆ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×D₂₃		184		C2xC4xD23	368,28

Semidirect products G=N:Q with N=D₄₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₆⋊C₄ = D₄₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₆	184		D46:C4	368,13

Non-split extensions G=N.Q with N=D₄₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₆.C₄ = C₈⋊D₂₃	φ: C₄/C₂ → C₂ ⊆ Out D₄₆	184	2	D46.C4	368,4
D₄₆.₂C₄ = C₈×D₂₃	φ: trivial image	184	2	D46.2C4	368,3

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Extensions 1→N→G→Q→1 with N=D46 and Q=C4