Extensions 1→N→G→Q→1 with N=C₆ and Q=D₁₀

Direct product G=N×Q with N=C₆ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂×C₆		60		D5xC2xC6	120,44

Semidirect products G=N:Q with N=C₆ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₁₀ = C₂×S₃×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₆	30	4+	C6:1D10	120,42
C₆⋊₂D₁₀ = C₂²×D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₆	60		C6:2D10	120,46

Non-split extensions G=N.Q with N=C₆ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₁₀ = D₅×Dic₃	φ: D₁₀/D₅ → C₂ ⊆ Aut C₆	60	4-	C6.1D10	120,8
C₆.₂D₁₀ = S₃×Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₆	60	4-	C6.2D10	120,9
C₆.₃D₁₀ = D₃₀.C₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₆	60	4+	C6.3D10	120,10
C₆.₄D₁₀ = C₁₅⋊D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₆	60	4-	C6.4D10	120,11
C₆.₅D₁₀ = C₃⋊D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₆	60	4+	C6.5D10	120,12
C₆.₆D₁₀ = C₅⋊D₁₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₆	60	4+	C6.6D10	120,13
C₆.₇D₁₀ = C₁₅⋊Q₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₆	120	4-	C6.7D10	120,14
C₆.₈D₁₀ = Dic₃₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₆	120	2-	C6.8D10	120,26
C₆.₉D₁₀ = C₄×D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₆	60	2	C6.9D10	120,27
C₆.₁₀D₁₀ = D₆₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₆	60	2+	C6.10D10	120,28
C₆.₁₁D₁₀ = C₂×Dic₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₆	120		C6.11D10	120,29
C₆.₁₂D₁₀ = C₁₅⋊₇D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₆	60	2	C6.12D10	120,30
C₆.₁₃D₁₀ = C₃×Dic₁₀	central extension (φ=1)	120	2	C6.13D10	120,16
C₆.₁₄D₁₀ = D₅×C₁₂	central extension (φ=1)	60	2	C6.14D10	120,17
C₆.₁₅D₁₀ = C₃×D₂₀	central extension (φ=1)	60	2	C6.15D10	120,18
C₆.₁₆D₁₀ = C₆×Dic₅	central extension (φ=1)	120		C6.16D10	120,19
C₆.₁₇D₁₀ = C₃×C₅⋊D₄	central extension (φ=1)	60	2	C6.17D10	120,20

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