Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅²⋊₆C₄

Direct product G=N×Q with N=C₂² and Q=C₅²⋊₆C₄

		d	ρ	Label	ID
C₂²×C₅²⋊₆C₄		400		C2^2xC5^2:6C4	400,199

Semidirect products G=N:Q with N=C₂² and Q=C₅²⋊₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅²⋊₆C₄) = C₁₀²⋊₁₁C₄	φ: C₅²⋊₆C₄/C₅×C₁₀ → C₂ ⊆ Aut C₂²	200		C2^2:(C5^2:6C4)	400,107

Non-split extensions G=N.Q with N=C₂² and Q=C₅²⋊₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅²⋊₆C₄) = C₂₀.₅₉D₁₀	φ: C₅²⋊₆C₄/C₅×C₁₀ → C₂ ⊆ Aut C₂²	200		C2^2.(C5^2:6C4)	400,98
C₂².₂(C₅²⋊₆C₄) = C₂×C₅²⋊₇C₈	central extension (φ=1)	400		C2^2.2(C5^2:6C4)	400,97

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Extensions 1→N→G→Q→1 with N=C22 and Q=C52⋊6C4