Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×D₅

Direct product G=N×Q with N=C₄ and Q=Q₈×D₅

		d	ρ	Label	ID
C₄×Q₈×D₅		160		C4xQ8xD5	320,1243

Semidirect products G=N:Q with N=C₄ and Q=Q₈×D₅

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(Q₈×D₅) = D₂₀⋊₈Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4:1(Q8xD5)	320,1399
C₄⋊₂(Q₈×D₅) = D₅×C₄⋊Q₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4:2(Q8xD5)	320,1395
C₄⋊₃(Q₈×D₅) = Q₈×D₂₀	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4:3(Q8xD5)	320,1247

Non-split extensions G=N.Q with N=C₄ and Q=Q₈×D₅

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(Q₈×D₅) = Dic₁₀⋊Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.1(Q8xD5)	320,481
C₄.₂(Q₈×D₅) = Dic₁₀.Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.2(Q8xD5)	320,484
C₄.₃(Q₈×D₅) = D₂₀⋊Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.3(Q8xD5)	320,497
C₄.₄(Q₈×D₅) = D₂₀.Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.4(Q8xD5)	320,498
C₄.₅(Q₈×D₅) = Dic₁₀⋊₂Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.5(Q8xD5)	320,502
C₄.₆(Q₈×D₅) = Dic₁₀.₂Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.6(Q8xD5)	320,504
C₄.₇(Q₈×D₅) = D₂₀⋊₂Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.7(Q8xD5)	320,517
C₄.₈(Q₈×D₅) = D₂₀.₂Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.8(Q8xD5)	320,518
C₄.₉(Q₈×D₅) = Dic₁₀.₄Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.9(Q8xD5)	320,690
C₄.₁₀(Q₈×D₅) = D₂₀.₄Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.10(Q8xD5)	320,693
C₄.₁₁(Q₈×D₅) = D₂₀⋊₅Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.11(Q8xD5)	320,711
C₄.₁₂(Q₈×D₅) = D₂₀⋊₆Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.12(Q8xD5)	320,714
C₄.₁₃(Q₈×D₅) = Dic₁₀⋊₅Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.13(Q8xD5)	320,718
C₄.₁₄(Q₈×D₅) = Dic₁₀⋊₆Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.14(Q8xD5)	320,721
C₄.₁₅(Q₈×D₅) = Dic₁₀⋊₇Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.15(Q8xD5)	320,1357
C₄.₁₆(Q₈×D₅) = D₂₀⋊₇Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.16(Q8xD5)	320,1362
C₄.₁₇(Q₈×D₅) = Dic₁₀⋊₈Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.17(Q8xD5)	320,1393
C₄.₁₈(Q₈×D₅) = Dic₁₀⋊₉Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	320	C4.18(Q8xD5)	320,1394
C₄.₁₉(Q₈×D₅) = D₂₀⋊₉Q₈	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₄	160	C4.19(Q8xD5)	320,1402
C₄.₂₀(Q₈×D₅) = C₄₀⋊₅Q₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.20(Q8xD5)	320,482
C₄.₂₁(Q₈×D₅) = C₄₀⋊₃Q₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.21(Q8xD5)	320,483
C₄.₂₂(Q₈×D₅) = C₈.₈Dic₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.22(Q8xD5)	320,485
C₄.₂₃(Q₈×D₅) = D₅×C₄.Q₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.23(Q8xD5)	320,486
C₄.₂₄(Q₈×D₅) = (C₈×D₅)⋊C₄	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.24(Q8xD5)	320,487
C₄.₂₅(Q₈×D₅) = C₈⋊(C₄×D₅)	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.25(Q8xD5)	320,488
C₄.₂₆(Q₈×D₅) = C₄₀⋊₂Q₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.26(Q8xD5)	320,501
C₄.₂₇(Q₈×D₅) = C₄₀⋊₄Q₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.27(Q8xD5)	320,503
C₄.₂₈(Q₈×D₅) = C₈.₆Dic₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.28(Q8xD5)	320,505
C₄.₂₉(Q₈×D₅) = D₅×C₂.D₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.29(Q8xD5)	320,506
C₄.₃₀(Q₈×D₅) = C₈.₂₇(C₄×D₅)	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.30(Q8xD5)	320,507
C₄.₃₁(Q₈×D₅) = C₄₀⋊₂₀(C₂×C₄)	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.31(Q8xD5)	320,508
C₄.₃₂(Q₈×D₅) = C₄².₂₁₅D₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.32(Q8xD5)	320,691
C₄.₃₃(Q₈×D₅) = C₄².₆₈D₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.33(Q8xD5)	320,692
C₄.₃₄(Q₈×D₅) = C₂₀.₁₇D₈	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.34(Q8xD5)	320,705
C₄.₃₅(Q₈×D₅) = C₂₀.SD₁₆	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.35(Q8xD5)	320,706
C₄.₃₆(Q₈×D₅) = C₄².₇₆D₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320	C4.36(Q8xD5)	320,707
C₄.₃₇(Q₈×D₅) = D₅×C₄².C₂	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.37(Q8xD5)	320,1359
C₄.₃₈(Q₈×D₅) = C₄².₂₃₆D₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.38(Q8xD5)	320,1360
C₄.₃₉(Q₈×D₅) = C₄².₁₄₈D₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.39(Q8xD5)	320,1361
C₄.₄₀(Q₈×D₅) = C₄².₂₄₁D₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.40(Q8xD5)	320,1400
C₄.₄₁(Q₈×D₅) = C₄².₁₇₄D₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4.41(Q8xD5)	320,1401
C₄.₄₂(Q₈×D₅) = Dic₁₀.₃Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.42(Q8xD5)	320,456
C₄.₄₃(Q₈×D₅) = D₂₀⋊₃Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4.43(Q8xD5)	320,469
C₄.₄₄(Q₈×D₅) = D₂₀⋊₄Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4.44(Q8xD5)	320,473
C₄.₄₅(Q₈×D₅) = D₂₀.₃Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4.45(Q8xD5)	320,474
C₄.₄₆(Q₈×D₅) = C₂₀.₇Q₁₆	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.46(Q8xD5)	320,477
C₄.₄₇(Q₈×D₅) = Dic₁₀⋊₄Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.47(Q8xD5)	320,478
C₄.₄₈(Q₈×D₅) = Q₈×Dic₁₀	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.48(Q8xD5)	320,1238
C₄.₄₉(Q₈×D₅) = Dic₁₀⋊₁₀Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.49(Q8xD5)	320,1239
C₄.₅₀(Q₈×D₅) = D₂₀⋊₁₀Q₈	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4.50(Q8xD5)	320,1251
C₄.₅₁(Q₈×D₅) = Dic₅.₅M₄(2)	central extension (φ=1)	320	C4.51(Q8xD5)	320,455
C₄.₅₂(Q₈×D₅) = Dic₁₀⋊₅C₈	central extension (φ=1)	320	C4.52(Q8xD5)	320,457
C₄.₅₃(Q₈×D₅) = C₄².₁₉₈D₁₀	central extension (φ=1)	320	C4.53(Q8xD5)	320,458
C₄.₅₄(Q₈×D₅) = D₅×C₄⋊C₈	central extension (φ=1)	160	C4.54(Q8xD5)	320,459
C₄.₅₅(Q₈×D₅) = C₂₀⋊₅M₄(2)	central extension (φ=1)	160	C4.55(Q8xD5)	320,464
C₄.₅₆(Q₈×D₅) = C₄².₃₀D₁₀	central extension (φ=1)	160	C4.56(Q8xD5)	320,466
C₄.₅₇(Q₈×D₅) = Q₈×C₅⋊₂C₈	central extension (φ=1)	320	C4.57(Q8xD5)	320,650
C₄.₅₈(Q₈×D₅) = C₄².₂₁₀D₁₀	central extension (φ=1)	320	C4.58(Q8xD5)	320,651
C₄.₅₉(Q₈×D₅) = C₄².₂₃₂D₁₀	central extension (φ=1)	160	C4.59(Q8xD5)	320,1250

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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8×D5

Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×D₅