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

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

		d	ρ	Label	ID
C₂²×C₅²⋊C₄		40		C2^2xC5^2:C4	400,217

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅²⋊C₄) = C₁₀²⋊₄C₄	φ: C₅²⋊C₄/C₅⋊D₅ → C₂ ⊆ Aut C₂²	20	4+	C2^2:(C5^2:C4)	400,162

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅²⋊C₄) = C₅²⋊₁₄M₄(2)	φ: C₅²⋊C₄/C₅⋊D₅ → C₂ ⊆ Aut C₂²	40	4-	C2^2.(C5^2:C4)	400,161
C₂².₂(C₅²⋊C₄) = C₂×C₅²⋊₅C₈	central extension (φ=1)	80		C2^2.2(C5^2:C4)	400,160

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