Extensions 1→N→G→Q→1 with N=C₂₂ and Q=C₂³

Direct product G=N×Q with N=C₂₂ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₂₂		176		C2^3xC22	176,42

Semidirect products G=N:Q with N=C₂₂ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊C₂³ = C₂³×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	88		C22:C2^3	176,41

Non-split extensions G=N.Q with N=C₂₂ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁C₂³ = C₂×Dic₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	176		C22.1C2^3	176,27
C₂₂.₂C₂³ = C₂×C₄×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	88		C22.2C2^3	176,28
C₂₂.₃C₂³ = C₂×D₄₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	88		C22.3C2^3	176,29
C₂₂.₄C₂³ = D₄₄⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	88	2	C22.4C2^3	176,30
C₂₂.₅C₂³ = D₄×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	44	4+	C22.5C2^3	176,31
C₂₂.₆C₂³ = D₄⋊₂D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	88	4-	C22.6C2^3	176,32
C₂₂.₇C₂³ = Q₈×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	88	4-	C22.7C2^3	176,33
C₂₂.₈C₂³ = D₄₄⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	88	4+	C22.8C2^3	176,34
C₂₂.₉C₂³ = C₂²×Dic₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	176		C22.9C2^3	176,35
C₂₂.₁₀C₂³ = C₂×C₁₁⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₂	88		C22.10C2^3	176,36
C₂₂.₁₁C₂³ = D₄×C₂₂	central extension (φ=1)	88		C22.11C2^3	176,38
C₂₂.₁₂C₂³ = Q₈×C₂₂	central extension (φ=1)	176		C22.12C2^3	176,39
C₂₂.₁₃C₂³ = C₁₁×C₄○D₄	central extension (φ=1)	88	2	C22.13C2^3	176,40

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