Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈×D₅

Direct product G=N×Q with N=C₆ and Q=Q₈×D₅

		d	ρ	Label	ID
C₆×Q₈×D₅		240		C6xQ8xD5	480,1142

Semidirect products G=N:Q with N=C₆ and Q=Q₈×D₅

extension	φ:Q→Aut N	d	Label	ID
C₆⋊₁(Q₈×D₅) = C₂×D₁₅⋊Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6:1(Q8xD5)	480,1082
C₆⋊₂(Q₈×D₅) = C₂×D₅×Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6:2(Q8xD5)	480,1073
C₆⋊₃(Q₈×D₅) = C₂×Q₈×D₁₅	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	240	C6:3(Q8xD5)	480,1172

Non-split extensions G=N.Q with N=C₆ and Q=Q₈×D₅

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(Q₈×D₅) = Dic₁₅⋊₅Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.1(Q8xD5)	480,401
C₆.₂(Q₈×D₅) = Dic₁₅⋊₁Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.2(Q8xD5)	480,403
C₆.₃(Q₈×D₅) = Dic₁₅⋊₆Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.3(Q8xD5)	480,407
C₆.₄(Q₈×D₅) = Dic₁₅.Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.4(Q8xD5)	480,412
C₆.₅(Q₈×D₅) = Dic₁₅.₂Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.5(Q8xD5)	480,415
C₆.₆(Q₈×D₅) = Dic₁₅⋊₇Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.6(Q8xD5)	480,420
C₆.₇(Q₈×D₅) = D₃₀⋊₈Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.7(Q8xD5)	480,453
C₆.₈(Q₈×D₅) = Dic₁₅.₄Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.8(Q8xD5)	480,458
C₆.₉(Q₈×D₅) = D₃₀⋊₉Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.9(Q8xD5)	480,459
C₆.₁₀(Q₈×D₅) = Dic₁₅⋊₈Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.10(Q8xD5)	480,461
C₆.₁₁(Q₈×D₅) = D₃₀⋊₁₀Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.11(Q8xD5)	480,466
C₆.₁₂(Q₈×D₅) = D₃₀.Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.12(Q8xD5)	480,480
C₆.₁₃(Q₈×D₅) = D₃₀⋊Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.13(Q8xD5)	480,487
C₆.₁₄(Q₈×D₅) = D₃₀⋊₂Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.14(Q8xD5)	480,495
C₆.₁₅(Q₈×D₅) = D₃₀⋊₃Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.15(Q8xD5)	480,500
C₆.₁₆(Q₈×D₅) = D₃₀⋊₄Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.16(Q8xD5)	480,505
C₆.₁₇(Q₈×D₅) = D₃₀.₂Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	240	C6.17(Q8xD5)	480,513
C₆.₁₈(Q₈×D₅) = C₂₀⋊Dic₆	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₆	480	C6.18(Q8xD5)	480,546
C₆.₁₉(Q₈×D₅) = Dic₅⋊₅Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.19(Q8xD5)	480,399
C₆.₂₀(Q₈×D₅) = Dic₃⋊Dic₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.20(Q8xD5)	480,404
C₆.₂₁(Q₈×D₅) = Dic₁₅⋊Q₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.21(Q8xD5)	480,405
C₆.₂₂(Q₈×D₅) = Dic₅×Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.22(Q8xD5)	480,408
C₆.₂₃(Q₈×D₅) = Dic₃₀⋊₁₇C₄	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.23(Q8xD5)	480,409
C₆.₂₄(Q₈×D₅) = Dic₅.₁Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.24(Q8xD5)	480,410
C₆.₂₅(Q₈×D₅) = Dic₅.₂Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.25(Q8xD5)	480,411
C₆.₂₆(Q₈×D₅) = D₁₀⋊Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.26(Q8xD5)	480,425
C₆.₂₇(Q₈×D₅) = C₆₀.₆₇D₄	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.27(Q8xD5)	480,435
C₆.₂₈(Q₈×D₅) = C₆₀.₆₈D₄	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.28(Q8xD5)	480,436
C₆.₂₉(Q₈×D₅) = Dic₅⋊Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.29(Q8xD5)	480,452
C₆.₃₀(Q₈×D₅) = Dic₅.₇Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.30(Q8xD5)	480,454
C₆.₃₁(Q₈×D₅) = D₅×Dic₃⋊C₄	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.31(Q8xD5)	480,468
C₆.₃₂(Q₈×D₅) = D₅×C₄⋊Dic₃	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.32(Q8xD5)	480,488
C₆.₃₃(Q₈×D₅) = D₁₀⋊₁Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.33(Q8xD5)	480,497
C₆.₃₄(Q₈×D₅) = D₁₀⋊₂Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.34(Q8xD5)	480,498
C₆.₃₅(Q₈×D₅) = Dic₁₅.D₄	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.35(Q8xD5)	480,506
C₆.₃₆(Q₈×D₅) = D₁₀⋊₄Dic₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	C6.36(Q8xD5)	480,507
C₆.₃₇(Q₈×D₅) = C₆₀⋊Q₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480	C6.37(Q8xD5)	480,544
C₆.₃₈(Q₈×D₅) = Dic₁₅⋊₁₀Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	480	C6.38(Q8xD5)	480,852
C₆.₃₉(Q₈×D₅) = C₄⋊Dic₃₀	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	480	C6.39(Q8xD5)	480,853
C₆.₄₀(Q₈×D₅) = Dic₁₅.₃Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	480	C6.40(Q8xD5)	480,854
C₆.₄₁(Q₈×D₅) = C₄⋊C₄×D₁₅	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	240	C6.41(Q8xD5)	480,856
C₆.₄₂(Q₈×D₅) = D₃₀⋊₅Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	240	C6.42(Q8xD5)	480,861
C₆.₄₃(Q₈×D₅) = D₃₀⋊₆Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	240	C6.43(Q8xD5)	480,862
C₆.₄₄(Q₈×D₅) = Dic₁₅⋊₄Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	480	C6.44(Q8xD5)	480,909
C₆.₄₅(Q₈×D₅) = Q₈×Dic₁₅	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	480	C6.45(Q8xD5)	480,910
C₆.₄₆(Q₈×D₅) = D₃₀⋊₇Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₆	240	C6.46(Q8xD5)	480,911
C₆.₄₇(Q₈×D₅) = C₃×Dic₅⋊₃Q₈	central extension (φ=1)	480	C6.47(Q8xD5)	480,680
C₆.₄₈(Q₈×D₅) = C₃×C₂₀⋊Q₈	central extension (φ=1)	480	C6.48(Q8xD5)	480,681
C₆.₄₉(Q₈×D₅) = C₃×Dic₅.Q₈	central extension (φ=1)	480	C6.49(Q8xD5)	480,682
C₆.₅₀(Q₈×D₅) = C₃×D₅×C₄⋊C₄	central extension (φ=1)	240	C6.50(Q8xD5)	480,684
C₆.₅₁(Q₈×D₅) = C₃×D₁₀⋊Q₈	central extension (φ=1)	240	C6.51(Q8xD5)	480,689
C₆.₅₂(Q₈×D₅) = C₃×D₁₀⋊₂Q₈	central extension (φ=1)	240	C6.52(Q8xD5)	480,690
C₆.₅₃(Q₈×D₅) = C₃×Dic₅⋊Q₈	central extension (φ=1)	480	C6.53(Q8xD5)	480,737
C₆.₅₄(Q₈×D₅) = C₃×Q₈×Dic₅	central extension (φ=1)	480	C6.54(Q8xD5)	480,738
C₆.₅₅(Q₈×D₅) = C₃×D₁₀⋊₃Q₈	central extension (φ=1)	240	C6.55(Q8xD5)	480,739

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Extensions 1→N→G→Q→1 with N=C6 and Q=Q8×D5

Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈×D₅