Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×D₈

Direct product G=N×Q with N=C₁₀ and Q=C₃×D₈

		d	ρ	Label	ID
D₈×C₃₀		240		D8xC30	480,937

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁(C₃×D₈) = C₆×D₄₀	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₁₀	240		C10:1(C3xD8)	480,696
C₁₀⋊₂(C₃×D₈) = C₆×D₄⋊D₅	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₁₀	240		C10:2(C3xD8)	480,724

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₃×D₈) = C₃×D₈₀	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₁₀	240	2	C10.1(C3xD8)	480,77
C₁₀.₂(C₃×D₈) = C₃×C₁₆⋊D₅	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₁₀	240	2	C10.2(C3xD8)	480,78
C₁₀.₃(C₃×D₈) = C₃×Dic₄₀	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₁₀	480	2	C10.3(C3xD8)	480,79
C₁₀.₄(C₃×D₈) = C₃×C₄₀⋊₅C₄	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.4(C3xD8)	480,96
C₁₀.₅(C₃×D₈) = C₃×D₂₀⋊₅C₄	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₁₀	240		C10.5(C3xD8)	480,99
C₁₀.₆(C₃×D₈) = C₃×C₁₀.D₈	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₁₀	480		C10.6(C3xD8)	480,85
C₁₀.₇(C₃×D₈) = C₃×D₂₀⋊₆C₄	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₁₀	240		C10.7(C3xD8)	480,87
C₁₀.₈(C₃×D₈) = C₃×C₅⋊D₁₆	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₁₀	240	4	C10.8(C3xD8)	480,104
C₁₀.₉(C₃×D₈) = C₃×D₈.D₅	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₁₀	240	4	C10.9(C3xD8)	480,105
C₁₀.₁₀(C₃×D₈) = C₃×C₅⋊SD₃₂	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₁₀	240	4	C10.10(C3xD8)	480,106
C₁₀.₁₁(C₃×D₈) = C₃×C₅⋊Q₃₂	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₁₀	480	4	C10.11(C3xD8)	480,107
C₁₀.₁₂(C₃×D₈) = C₃×D₄⋊Dic₅	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₁₀	240		C10.12(C3xD8)	480,110
C₁₀.₁₃(C₃×D₈) = C₁₅×D₄⋊C₄	central extension (φ=1)	240		C10.13(C3xD8)	480,205
C₁₀.₁₄(C₃×D₈) = C₁₅×C₂.D₈	central extension (φ=1)	480		C10.14(C3xD8)	480,210
C₁₀.₁₅(C₃×D₈) = C₁₅×D₁₆	central extension (φ=1)	240	2	C10.15(C3xD8)	480,214
C₁₀.₁₆(C₃×D₈) = C₁₅×SD₃₂	central extension (φ=1)	240	2	C10.16(C3xD8)	480,215
C₁₀.₁₇(C₃×D₈) = C₁₅×Q₃₂	central extension (φ=1)	480	2	C10.17(C3xD8)	480,216

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