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

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

		d	ρ	Label	ID
C₂⁴×C₂₂		352		C2^4xC22	352,195

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂²×C₂₂) = D₄×C₂×C₂₂	φ: C₂²×C₂₂/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176		C2^2:(C2^2xC22)	352,189

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²×C₂₂) = C₄○D₄×C₂₂	φ: C₂²×C₂₂/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176		C2^2.1(C2^2xC22)	352,191
C₂².₂(C₂²×C₂₂) = C₁₁×2₊¹⁺⁴	φ: C₂²×C₂₂/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.2(C2^2xC22)	352,192
C₂².₃(C₂²×C₂₂) = C₁₁×2_-¹⁺⁴	φ: C₂²×C₂₂/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176	4	C2^2.3(C2^2xC22)	352,193
C₂².₄(C₂²×C₂₂) = C₂²⋊C₄×C₂₂	central extension (φ=1)	176		C2^2.4(C2^2xC22)	352,150
C₂².₅(C₂²×C₂₂) = C₄⋊C₄×C₂₂	central extension (φ=1)	352		C2^2.5(C2^2xC22)	352,151
C₂².₆(C₂²×C₂₂) = C₁₁×C₄²⋊C₂	central extension (φ=1)	176		C2^2.6(C2^2xC22)	352,152
C₂².₇(C₂²×C₂₂) = D₄×C₄₄	central extension (φ=1)	176		C2^2.7(C2^2xC22)	352,153
C₂².₈(C₂²×C₂₂) = Q₈×C₄₄	central extension (φ=1)	352		C2^2.8(C2^2xC22)	352,154
C₂².₉(C₂²×C₂₂) = Q₈×C₂×C₂₂	central extension (φ=1)	352		C2^2.9(C2^2xC22)	352,190
C₂².₁₀(C₂²×C₂₂) = C₁₁×C₂²≀C₂	central stem extension (φ=1)	88		C2^2.10(C2^2xC22)	352,155
C₂².₁₁(C₂²×C₂₂) = C₁₁×C₄⋊D₄	central stem extension (φ=1)	176		C2^2.11(C2^2xC22)	352,156
C₂².₁₂(C₂²×C₂₂) = C₁₁×C₂²⋊Q₈	central stem extension (φ=1)	176		C2^2.12(C2^2xC22)	352,157
C₂².₁₃(C₂²×C₂₂) = C₁₁×C₂².D₄	central stem extension (φ=1)	176		C2^2.13(C2^2xC22)	352,158
C₂².₁₄(C₂²×C₂₂) = C₁₁×C₄.₄D₄	central stem extension (φ=1)	176		C2^2.14(C2^2xC22)	352,159
C₂².₁₅(C₂²×C₂₂) = C₁₁×C₄².C₂	central stem extension (φ=1)	352		C2^2.15(C2^2xC22)	352,160
C₂².₁₆(C₂²×C₂₂) = C₁₁×C₄²⋊₂C₂	central stem extension (φ=1)	176		C2^2.16(C2^2xC22)	352,161
C₂².₁₇(C₂²×C₂₂) = C₁₁×C₄⋊₁D₄	central stem extension (φ=1)	176		C2^2.17(C2^2xC22)	352,162
C₂².₁₈(C₂²×C₂₂) = C₁₁×C₄⋊Q₈	central stem extension (φ=1)	352		C2^2.18(C2^2xC22)	352,163

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