Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂₂

Direct product G=N×Q with N=C₄² and Q=C₂₂

		d	ρ	Label	ID
C₂×C₄×C₄₄		352		C2xC4xC44	352,149

Semidirect products G=N:Q with N=C₄² and Q=C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₂₂ = C₁₁×C₄²⋊C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	176		C4^2:1C22	352,152
C₄²⋊₂C₂₂ = C₁₁×C₄²⋊₂C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	176		C4^2:2C22	352,161
C₄²⋊₃C₂₂ = C₁₁×C₄≀C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	88	2	C4^2:3C22	352,53
C₄²⋊₄C₂₂ = D₄×C₄₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	176		C4^2:4C22	352,153
C₄²⋊₅C₂₂ = C₁₁×C₄.₄D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	176		C4^2:5C22	352,159
C₄²⋊₆C₂₂ = C₁₁×C₄⋊₁D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	176		C4^2:6C22	352,162

Non-split extensions G=N.Q with N=C₄² and Q=C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₂₂ = C₁₁×C₈⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	352		C4^2.1C22	352,46
C₄².₂C₂₂ = C₁₁×C₄⋊C₈	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	352		C4^2.2C22	352,54
C₄².₃C₂₂ = Q₈×C₄₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	352		C4^2.3C22	352,154
C₄².₄C₂₂ = C₁₁×C₄².C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	352		C4^2.4C22	352,160
C₄².₅C₂₂ = C₁₁×C₄⋊Q₈	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₄²	352		C4^2.5C22	352,163

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