Extensions 1→N→G→Q→1 with N=C₅²⋊C₆ and Q=C₂

Direct product G=N×Q with N=C₅²⋊C₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₅²⋊C₆		30	6+	C2xC5^2:C6	300,27

Semidirect products G=N:Q with N=C₅²⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊C₆⋊C₂ = C₅²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊C₆	15	6+	C5^2:C6:C2	300,25

Non-split extensions G=N.Q with N=C₅²⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊C₆.₁C₂ = C₅²⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊C₆	15	12+	C5^2:C6.1C2	300,24
C₅²⋊C₆.₂C₂ = C₅²⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊C₆	15	12+	C5^2:C6.2C2	300,23

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Extensions 1→N→G→Q→1 with N=C52⋊C6 and Q=C2