Extensions 1→N→G→Q→1 with N=D₂₂ and Q=C₄

Direct product G=N×Q with N=D₂₂ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×D₁₁		88		C2xC4xD11	176,28

Semidirect products G=N:Q with N=D₂₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₂⋊C₄ = D₂₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₂	88		D22:C4	176,13

Non-split extensions G=N.Q with N=D₂₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₂.C₄ = C₈₈⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out D₂₂	88	2	D22.C4	176,4
D₂₂.₂C₄ = C₈×D₁₁	φ: trivial image	88	2	D22.2C4	176,3

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Extensions 1→N→G→Q→1 with N=D22 and Q=C4