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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊C₆² = D₅×C₆²	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₀	180		C10:C6^2	360,157

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁C₆² = C₃²×Dic₁₀	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₀	360		C10.1C6^2	360,90
C₁₀.₂C₆² = D₅×C₃×C₁₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₀	180		C10.2C6^2	360,91
C₁₀.₃C₆² = C₃²×D₂₀	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₀	180		C10.3C6^2	360,92
C₁₀.₄C₆² = C₃×C₆×Dic₅	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₀	360		C10.4C6^2	360,93
C₁₀.₅C₆² = C₃²×C₅⋊D₄	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₀	180		C10.5C6^2	360,94
C₁₀.₆C₆² = D₄×C₃×C₁₅	central extension (φ=1)	180		C10.6C6^2	360,116
C₁₀.₇C₆² = Q₈×C₃×C₁₅	central extension (φ=1)	360		C10.7C6^2	360,117

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