Extensions 1→N→G→Q→1 with N=C₅² and Q=Dic₃

Direct product G=N×Q with N=C₅² and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₅²		300		Dic3xC5^2	300,18

Semidirect products G=N:Q with N=C₅² and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊Dic₃ = C₅²⋊Dic₃	φ: Dic₃/C₁ → Dic₃ ⊆ Aut C₅²	15	12+	C5^2:Dic3	300,23
C₅²⋊₂Dic₃ = C₅²⋊₂Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Aut C₅²	60	3	C5^2:2Dic3	300,13
C₅²⋊₃Dic₃ = C₅×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₅²	60	4	C5^2:3Dic3	300,32
C₅²⋊₄Dic₃ = D₅.D₁₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₅²	60	4	C5^2:4Dic3	300,33
C₅²⋊₅Dic₃ = C₁₅⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₅²	75		C5^2:5Dic3	300,34
C₅²⋊₆Dic₃ = C₁₅⋊₂F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₅²	30	4	C5^2:6Dic3	300,35
C₅²⋊₇Dic₃ = C₅×Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₅²	60	2	C5^2:7Dic3	300,19
C₅²⋊₈Dic₃ = C₃₀.D₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₅²	300		C5^2:8Dic3	300,20

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