Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₄₄

Direct product G=N×Q with N=C₂² and Q=C₂×C₄₄

		d	ρ	Label	ID
C₂³×C₄₄		352		C2^3xC44	352,188

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₄₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×C₄₄) = D₄×C₄₄	φ: C₂×C₄₄/C₄₄ → C₂ ⊆ Aut C₂²	176		C2^2:1(C2xC44)	352,153
C₂²⋊₂(C₂×C₄₄) = C₂²⋊C₄×C₂₂	φ: C₂×C₄₄/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176		C2^2:2(C2xC44)	352,150

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₄₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₄₄) = C₁₁×C₈○D₄	φ: C₂×C₄₄/C₄₄ → C₂ ⊆ Aut C₂²	176	2	C2^2.1(C2xC44)	352,166
C₂².₂(C₂×C₄₄) = C₁₁×C₂³⋊C₄	φ: C₂×C₄₄/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.2(C2xC44)	352,48
C₂².₃(C₂×C₄₄) = C₁₁×C₄.D₄	φ: C₂×C₄₄/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.3(C2xC44)	352,49
C₂².₄(C₂×C₄₄) = C₁₁×C₄.₁₀D₄	φ: C₂×C₄₄/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176	4	C2^2.4(C2xC44)	352,50
C₂².₅(C₂×C₄₄) = C₁₁×C₄²⋊C₂	φ: C₂×C₄₄/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176		C2^2.5(C2xC44)	352,152
C₂².₆(C₂×C₄₄) = M₄(2)×C₂₂	φ: C₂×C₄₄/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176		C2^2.6(C2xC44)	352,165
C₂².₇(C₂×C₄₄) = C₁₁×C₂.C₄²	central extension (φ=1)	352		C2^2.7(C2xC44)	352,44
C₂².₈(C₂×C₄₄) = C₁₁×C₈⋊C₄	central extension (φ=1)	352		C2^2.8(C2xC44)	352,46
C₂².₉(C₂×C₄₄) = C₁₁×C₂²⋊C₈	central extension (φ=1)	176		C2^2.9(C2xC44)	352,47
C₂².₁₀(C₂×C₄₄) = C₁₁×C₄⋊C₈	central extension (φ=1)	352		C2^2.10(C2xC44)	352,54
C₂².₁₁(C₂×C₄₄) = C₄⋊C₄×C₂₂	central extension (φ=1)	352		C2^2.11(C2xC44)	352,151

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