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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₂₂ = D₄×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₄	44	4+	C4:1D22	176,31
C₄⋊₂D₂₂ = C₂×D₄₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₄	88		C4:2D22	176,29

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₂₂ = D₄⋊D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₄	88	4+	C4.1D22	176,14
C₄.₂D₂₂ = D₄.D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₄	88	4-	C4.2D22	176,15
C₄.₃D₂₂ = Q₈⋊D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₄	88	4+	C4.3D22	176,16
C₄.₄D₂₂ = C₁₁⋊Q₁₆	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₄	176	4-	C4.4D22	176,17
C₄.₅D₂₂ = D₄⋊₂D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₄	88	4-	C4.5D22	176,32
C₄.₆D₂₂ = Q₈×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₄	88	4-	C4.6D22	176,33
C₄.₇D₂₂ = D₄₄⋊C₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₄	88	4+	C4.7D22	176,34
C₄.₈D₂₂ = C₈⋊D₁₁	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₄	88	2	C4.8D22	176,5
C₄.₉D₂₂ = D₈₈	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₄	88	2+	C4.9D22	176,6
C₄.₁₀D₂₂ = Dic₄₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₄	176	2-	C4.10D22	176,7
C₄.₁₁D₂₂ = C₂×Dic₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₄	176		C4.11D22	176,27
C₄.₁₂D₂₂ = C₈×D₁₁	central extension (φ=1)	88	2	C4.12D22	176,3
C₄.₁₃D₂₂ = C₈₈⋊C₂	central extension (φ=1)	88	2	C4.13D22	176,4
C₄.₁₄D₂₂ = C₂×C₁₁⋊C₈	central extension (φ=1)	176		C4.14D22	176,8
C₄.₁₅D₂₂ = C₄₄.C₄	central extension (φ=1)	88	2	C4.15D22	176,9
C₄.₁₆D₂₂ = D₄₄⋊₅C₂	central extension (φ=1)	88	2	C4.16D22	176,30

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