Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₁₂

Direct product G=N×Q with N=C₁₀ and Q=D₁₂

		d	ρ	Label	ID
C₁₀×D₁₂		120		C10xD12	240,167

Semidirect products G=N:Q with N=C₁₀ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁D₁₂ = C₂×D₆₀	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₀	120		C10:1D12	240,177
C₁₀⋊₂D₁₂ = C₂×C₅⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₀	120		C10:2D12	240,147

Non-split extensions G=N.Q with N=C₁₀ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁D₁₂ = C₂₄⋊D₅	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₀	120	2	C10.1D12	240,67
C₁₀.₂D₁₂ = D₁₂₀	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₀	120	2+	C10.2D12	240,68
C₁₀.₃D₁₂ = Dic₆₀	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₀	240	2-	C10.3D12	240,69
C₁₀.₄D₁₂ = C₆₀⋊₅C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₀	240		C10.4D12	240,74
C₁₀.₅D₁₂ = D₃₀⋊₃C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₀	120		C10.5D12	240,75
C₁₀.₆D₁₂ = C₅⋊D₂₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₀	120	4+	C10.6D12	240,15
C₁₀.₇D₁₂ = D₁₂.D₅	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₀	120	4-	C10.7D12	240,20
C₁₀.₈D₁₂ = Dic₆⋊D₅	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₀	120	4+	C10.8D12	240,21
C₁₀.₉D₁₂ = C₅⋊Dic₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₀	240	4-	C10.9D12	240,24
C₁₀.₁₀D₁₂ = D₆⋊Dic₅	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₀	120		C10.10D12	240,27
C₁₀.₁₁D₁₂ = D₃₀⋊₄C₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₀	120		C10.11D12	240,28
C₁₀.₁₂D₁₂ = C₃₀.Q₈	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₀	240		C10.12D12	240,29
C₁₀.₁₃D₁₂ = C₅×C₂₄⋊C₂	central extension (φ=1)	120	2	C10.13D12	240,51
C₁₀.₁₄D₁₂ = C₅×D₂₄	central extension (φ=1)	120	2	C10.14D12	240,52
C₁₀.₁₅D₁₂ = C₅×Dic₁₂	central extension (φ=1)	240	2	C10.15D12	240,53
C₁₀.₁₆D₁₂ = C₅×C₄⋊Dic₃	central extension (φ=1)	240		C10.16D12	240,58
C₁₀.₁₇D₁₂ = C₅×D₆⋊C₄	central extension (φ=1)	120		C10.17D12	240,59

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