Extensions 1→N→G→Q→1 with N=C₆ and Q=C₈⋊D₅

Direct product G=N×Q with N=C₆ and Q=C₈⋊D₅

		d	ρ	Label	ID
C₆×C₈⋊D₅		240		C6xC8:D5	480,693

Semidirect products G=N:Q with N=C₆ and Q=C₈⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₈⋊D₅) = C₂×D₃₀.₅C₄	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	240		C6:1(C8:D5)	480,371
C₆⋊₂(C₈⋊D₅) = C₂×C₄₀⋊S₃	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₆	240		C6:2(C8:D5)	480,865
C₆⋊₃(C₈⋊D₅) = C₂×C₂₀.₃₂D₆	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6:3(C8:D5)	480,369

Non-split extensions G=N.Q with N=C₆ and Q=C₈⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₈⋊D₅) = C₃₀.₂₃C₄²	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	480		C6.1(C8:D5)	480,30
C₆.₂(C₈⋊D₅) = D₃₀⋊₄C₈	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	240		C6.2(C8:D5)	480,33
C₆.₃(C₈⋊D₅) = C₆₀.₁₄Q₈	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	480		C6.3(C8:D5)	480,59
C₆.₄(C₈⋊D₅) = C₆₀.₂₆Q₈	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₆	480		C6.4(C8:D5)	480,174
C₆.₅(C₈⋊D₅) = C₁₂₀⋊₁₃C₄	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₆	480		C6.5(C8:D5)	480,175
C₆.₆(C₈⋊D₅) = D₃₀⋊₃C₈	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₆	240		C6.6(C8:D5)	480,180
C₆.₇(C₈⋊D₅) = C₃₀.₂₁C₄²	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480		C6.7(C8:D5)	480,28
C₆.₈(C₈⋊D₅) = C₆₀.₉₃D₄	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.8(C8:D5)	480,31
C₆.₉(C₈⋊D₅) = C₆₀.₁₃Q₈	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480		C6.9(C8:D5)	480,58
C₆.₁₀(C₈⋊D₅) = C₃×C₂₀.₈Q₈	central extension (φ=1)	480		C6.10(C8:D5)	480,92
C₆.₁₁(C₈⋊D₅) = C₃×C₄₀⋊₈C₄	central extension (φ=1)	480		C6.11(C8:D5)	480,93
C₆.₁₂(C₈⋊D₅) = C₃×D₁₀⋊₁C₈	central extension (φ=1)	240		C6.12(C8:D5)	480,98

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