Extensions 1→N→G→Q→1 with N=C₅² and Q=C₁₂

Direct product G=N×Q with N=C₅² and Q=C₁₂

		d	ρ	Label	ID
C₅×C₆₀		300		C5xC60	300,21

Semidirect products G=N:Q with N=C₅² and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊C₁₂ = C₅²⋊C₁₂	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₅²	15	12+	C5^2:C12	300,24
C₅²⋊₂C₁₂ = C₅²⋊₂C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₅²	60	6-	C5^2:2C12	300,14
C₅²⋊₃C₁₂ = C₁₅×F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₅²	60	4	C5^2:3C12	300,28
C₅²⋊₄C₁₂ = C₃×D₅.D₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₅²	60	4	C5^2:4C12	300,29
C₅²⋊₅C₁₂ = C₃×C₅⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₅²	75		C5^2:5C12	300,30
C₅²⋊₆C₁₂ = C₃×C₅²⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₅²	30	4	C5^2:6C12	300,31
C₅²⋊₇C₁₂ = C₄×C₅²⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₅²	60	3	C5^2:7C12	300,15
C₅²⋊₈C₁₂ = C₁₅×Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₅²	60	2	C5^2:8C12	300,16
C₅²⋊₉C₁₂ = C₃×C₅²⋊₆C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₅²	300		C5^2:9C12	300,17

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