Extensions 1→N→G→Q→1 with N=C₆² and Q=D₅

Direct product G=N×Q with N=C₆² and Q=D₅

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₆² and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²⋊₁D₅ = C₃²×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₆²	180		C6^2:1D5	360,94
C₆²⋊₂D₅ = C₃×C₁₅⋊₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₆²	60	2	C6^2:2D5	360,104
C₆²⋊₃D₅ = C₆²⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₆²	180		C6^2:3D5	360,114
C₆²⋊₄D₅ = C₂×C₆×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₆²	120		C6^2:4D5	360,159
C₆²⋊₅D₅ = C₂²×C₃⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₆²	180		C6^2:5D5	360,161

Non-split extensions G=N.Q with N=C₆² and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁D₅ = C₆×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₆²	120		C6^2.1D5	360,103
C₆².₂D₅ = C₂×C₃⋊Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₆²	360		C6^2.2D5	360,113
C₆².₃D₅ = C₃×C₆×Dic₅	central extension (φ=1)	360		C6^2.3D5	360,93

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