Extensions 1→N→G→Q→1 with N=C₆² and Q=C₁₀

Direct product G=N×Q with N=C₆² and Q=C₁₀

		d	ρ	Label	ID
C₂×C₆×C₃₀		360		C2xC6xC30	360,162

Semidirect products G=N:Q with N=C₆² and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²⋊₁C₁₀ = D₄×C₃×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₆²	180		C6^2:1C10	360,116
C₆²⋊₂C₁₀ = C₁₅×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₆²	60	2	C6^2:2C10	360,99
C₆²⋊₃C₁₀ = C₅×C₃²⋊₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₆²	180		C6^2:3C10	360,109
C₆²⋊₄C₁₀ = S₃×C₂×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₆²	120		C6^2:4C10	360,158
C₆²⋊₅C₁₀ = C₃⋊S₃×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₆²	180		C6^2:5C10	360,160

Non-split extensions G=N.Q with N=C₆² and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁C₁₀ = Dic₃×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₆²	120		C6^2.1C10	360,98
C₆².₂C₁₀ = C₁₀×C₃⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₆²	360		C6^2.2C10	360,108

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