Extensions 1→N→G→Q→1 with N=D₄ and Q=C₆

Direct product G=N×Q with N=D₄ and Q=C₆

		d	ρ	Label	ID
C₆×D₄		24		C6xD4	48,45

Semidirect products G=N:Q with N=D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₆ = C₃×D₈	φ: C₆/C₃ → C₂ ⊆ Out D₄	24	2	D4:C6	48,25
D₄⋊₂C₆ = C₃×C₄○D₄	φ: trivial image	24	2	D4:2C6	48,47

Non-split extensions G=N.Q with N=D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₆ = C₃×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out D₄	24	2	D4.C6	48,26

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Extensions 1→N→G→Q→1 with N=D4 and Q=C6