Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×C₁₀

Direct product G=N×Q with N=C₂² and Q=C₂²×C₁₀

		d	ρ	Label	ID
C₂⁴×C₁₀		160		C2^4xC10	160,238

Semidirect products G=N:Q with N=C₂² and Q=C₂²×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂²×C₁₀) = D₄×C₂×C₁₀	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Aut C₂²	80		C2^2:(C2^2xC10)	160,229

Non-split extensions G=N.Q with N=C₂² and Q=C₂²×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²×C₁₀) = C₁₀×C₄○D₄	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.1(C2^2xC10)	160,231
C₂².₂(C₂²×C₁₀) = C₅×2₊¹⁺⁴	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.2(C2^2xC10)	160,232
C₂².₃(C₂²×C₁₀) = C₅×2_-¹⁺⁴	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.3(C2^2xC10)	160,233
C₂².₄(C₂²×C₁₀) = C₁₀×C₂²⋊C₄	central extension (φ=1)	80		C2^2.4(C2^2xC10)	160,176
C₂².₅(C₂²×C₁₀) = C₁₀×C₄⋊C₄	central extension (φ=1)	160		C2^2.5(C2^2xC10)	160,177
C₂².₆(C₂²×C₁₀) = C₅×C₄²⋊C₂	central extension (φ=1)	80		C2^2.6(C2^2xC10)	160,178
C₂².₇(C₂²×C₁₀) = D₄×C₂₀	central extension (φ=1)	80		C2^2.7(C2^2xC10)	160,179
C₂².₈(C₂²×C₁₀) = Q₈×C₂₀	central extension (φ=1)	160		C2^2.8(C2^2xC10)	160,180
C₂².₉(C₂²×C₁₀) = Q₈×C₂×C₁₀	central extension (φ=1)	160		C2^2.9(C2^2xC10)	160,230
C₂².₁₀(C₂²×C₁₀) = C₅×C₂²≀C₂	central stem extension (φ=1)	40		C2^2.10(C2^2xC10)	160,181
C₂².₁₁(C₂²×C₁₀) = C₅×C₄⋊D₄	central stem extension (φ=1)	80		C2^2.11(C2^2xC10)	160,182
C₂².₁₂(C₂²×C₁₀) = C₅×C₂²⋊Q₈	central stem extension (φ=1)	80		C2^2.12(C2^2xC10)	160,183
C₂².₁₃(C₂²×C₁₀) = C₅×C₂².D₄	central stem extension (φ=1)	80		C2^2.13(C2^2xC10)	160,184
C₂².₁₄(C₂²×C₁₀) = C₅×C₄.₄D₄	central stem extension (φ=1)	80		C2^2.14(C2^2xC10)	160,185
C₂².₁₅(C₂²×C₁₀) = C₅×C₄².C₂	central stem extension (φ=1)	160		C2^2.15(C2^2xC10)	160,186
C₂².₁₆(C₂²×C₁₀) = C₅×C₄²⋊₂C₂	central stem extension (φ=1)	80		C2^2.16(C2^2xC10)	160,187
C₂².₁₇(C₂²×C₁₀) = C₅×C₄⋊₁D₄	central stem extension (φ=1)	80		C2^2.17(C2^2xC10)	160,188
C₂².₁₈(C₂²×C₁₀) = C₅×C₄⋊Q₈	central stem extension (φ=1)	160		C2^2.18(C2^2xC10)	160,189

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