Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂²×D₅

Direct product G=N×Q with N=C₈ and Q=C₂²×D₅

		d	ρ	Label	ID
D₅×C₂²×C₈		160		D5xC2^2xC8	320,1408

Semidirect products G=N:Q with N=C₈ and Q=C₂²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₂²×D₅) = D₅×C₈⋊C₂²	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₈	40	8+	C8:1(C2^2xD5)	320,1444
C₈⋊₂(C₂²×D₅) = C₂×C₈⋊D₁₀	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80		C8:2(C2^2xD5)	320,1418
C₈⋊₃(C₂²×D₅) = C₂×D₈⋊D₅	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80		C8:3(C2^2xD5)	320,1427
C₈⋊₄(C₂²×D₅) = C₂×D₄₀⋊C₂	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80		C8:4(C2^2xD5)	320,1431
C₈⋊₅(C₂²×D₅) = C₂×D₅×D₈	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:5(C2^2xD5)	320,1426
C₈⋊₆(C₂²×D₅) = C₂×D₅×SD₁₆	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:6(C2^2xD5)	320,1430
C₈⋊₇(C₂²×D₅) = C₂×D₅×M₄(2)	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:7(C2^2xD5)	320,1415
C₈⋊₈(C₂²×D₅) = C₂²×D₄₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160		C8:8(C2^2xD5)	320,1412
C₈⋊₉(C₂²×D₅) = C₂²×C₄₀⋊C₂	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160		C8:9(C2^2xD5)	320,1411
C₈⋊₁₀(C₂²×D₅) = C₂²×C₈⋊D₅	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160		C8:10(C2^2xD5)	320,1409

Non-split extensions G=N.Q with N=C₈ and Q=C₂²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂²×D₅) = SD₁₆⋊D₁₀	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.1(C2^2xD5)	320,1445
C₈.₂(C₂²×D₅) = D₈⋊₅D₁₀	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.2(C2^2xD5)	320,1446
C₈.₃(C₂²×D₅) = D₈⋊₆D₁₀	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.3(C2^2xD5)	320,1447
C₈.₄(C₂²×D₅) = D₅×C₈.C₂²	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.4(C2^2xD5)	320,1448
C₈.₅(C₂²×D₅) = D₄₀⋊C₂²	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.5(C2^2xD5)	320,1449
C₈.₆(C₂²×D₅) = C₄₀.C₂³	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.6(C2^2xD5)	320,1450
C₈.₇(C₂²×D₅) = D₂₀.₄₄D₄	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₈	160	8-	C8.7(C2^2xD5)	320,1451
C₈.₈(C₂²×D₅) = C₂×C₈.D₁₀	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	160		C8.8(C2^2xD5)	320,1419
C₈.₉(C₂²×D₅) = C₄₀.₉C₂³	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.9(C2^2xD5)	320,1420
C₈.₁₀(C₂²×D₅) = D₈⋊₁₃D₁₀	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.10(C2^2xD5)	320,1429
C₈.₁₁(C₂²×D₅) = C₂×SD₁₆⋊D₅	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	160		C8.11(C2^2xD5)	320,1432
C₈.₁₂(C₂²×D₅) = D₂₀.₂₉D₄	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.12(C2^2xD5)	320,1434
C₈.₁₃(C₂²×D₅) = C₂×Q₁₆⋊D₅	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	160		C8.13(C2^2xD5)	320,1436
C₈.₁₄(C₂²×D₅) = D₂₀.₃₀D₄	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	160	4	C8.14(C2^2xD5)	320,1438
C₈.₁₅(C₂²×D₅) = Q₁₆⋊D₁₀	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.15(C2^2xD5)	320,1440
C₈.₁₆(C₂²×D₅) = D₈⋊₁₅D₁₀	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80	4+	C8.16(C2^2xD5)	320,1441
C₈.₁₇(C₂²×D₅) = D₈⋊₁₁D₁₀	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.17(C2^2xD5)	320,1442
C₈.₁₈(C₂²×D₅) = D₂₀.₄₇D₄	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₈	160	4-	C8.18(C2^2xD5)	320,1443
C₈.₁₉(C₂²×D₅) = D₅×D₁₆	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80	4+	C8.19(C2^2xD5)	320,537
C₈.₂₀(C₂²×D₅) = D₁₆⋊D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.20(C2^2xD5)	320,538
C₈.₂₁(C₂²×D₅) = D₁₆⋊₃D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4-	C8.21(C2^2xD5)	320,539
C₈.₂₂(C₂²×D₅) = D₅×SD₃₂	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.22(C2^2xD5)	320,540
C₈.₂₃(C₂²×D₅) = C₁₆⋊D₁₀	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80	4+	C8.23(C2^2xD5)	320,541
C₈.₂₄(C₂²×D₅) = SD₃₂⋊D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4-	C8.24(C2^2xD5)	320,542
C₈.₂₅(C₂²×D₅) = SD₃₂⋊₃D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.25(C2^2xD5)	320,543
C₈.₂₆(C₂²×D₅) = D₅×Q₃₂	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4-	C8.26(C2^2xD5)	320,544
C₈.₂₇(C₂²×D₅) = Q₃₂⋊D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.27(C2^2xD5)	320,545
C₈.₂₈(C₂²×D₅) = D₈₀⋊₅C₂	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4+	C8.28(C2^2xD5)	320,546
C₈.₂₉(C₂²×D₅) = C₂×C₅⋊D₁₆	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.29(C2^2xD5)	320,773
C₈.₃₀(C₂²×D₅) = D₈.D₁₀	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.30(C2^2xD5)	320,774
C₈.₃₁(C₂²×D₅) = C₂×D₈.D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.31(C2^2xD5)	320,775
C₈.₃₂(C₂²×D₅) = C₂×C₅⋊SD₃₂	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.32(C2^2xD5)	320,805
C₈.₃₃(C₂²×D₅) = Q₁₆.D₁₀	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.33(C2^2xD5)	320,806
C₈.₃₄(C₂²×D₅) = C₂×C₅⋊Q₃₂	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	320		C8.34(C2^2xD5)	320,807
C₈.₃₅(C₂²×D₅) = D₈⋊D₁₀	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80	4+	C8.35(C2^2xD5)	320,820
C₈.₃₆(C₂²×D₅) = C₄₀.₃₀C₂³	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.36(C2^2xD5)	320,821
C₈.₃₇(C₂²×D₅) = C₄₀.₃₁C₂³	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160	4-	C8.37(C2^2xD5)	320,822
C₈.₃₈(C₂²×D₅) = C₂×D₈⋊₃D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.38(C2^2xD5)	320,1428
C₈.₃₉(C₂²×D₅) = C₂×D₅×Q₁₆	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.39(C2^2xD5)	320,1435
C₈.₄₀(C₂²×D₅) = C₂×Q₈.D₁₀	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.40(C2^2xD5)	320,1437
C₈.₄₁(C₂²×D₅) = C₂×SD₁₆⋊₃D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.41(C2^2xD5)	320,1433
C₈.₄₂(C₂²×D₅) = D₅×C₄○D₈	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.42(C2^2xD5)	320,1439
C₈.₄₃(C₂²×D₅) = C₂×D₂₀.₂C₄	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.43(C2^2xD5)	320,1416
C₈.₄₄(C₂²×D₅) = C₄₀.₄₇C₂³	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.44(C2^2xD5)	320,1417
C₈.₄₅(C₂²×D₅) = C₂×D₈₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160		C8.45(C2^2xD5)	320,529
C₈.₄₆(C₂²×D₅) = C₂×C₁₆⋊D₅	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160		C8.46(C2^2xD5)	320,530
C₈.₄₇(C₂²×D₅) = D₈₀⋊₇C₂	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	2	C8.47(C2^2xD5)	320,531
C₈.₄₈(C₂²×D₅) = C₂×Dic₄₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	320		C8.48(C2^2xD5)	320,532
C₈.₄₉(C₂²×D₅) = D₈₀⋊C₂	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4+	C8.49(C2^2xD5)	320,535
C₈.₅₀(C₂²×D₅) = C₁₆.D₁₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	4-	C8.50(C2^2xD5)	320,536
C₈.₅₁(C₂²×D₅) = C₂×D₄₀⋊₇C₂	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160		C8.51(C2^2xD5)	320,1413
C₈.₅₂(C₂²×D₅) = C₂²×Dic₂₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	320		C8.52(C2^2xD5)	320,1414
C₈.₅₃(C₂²×D₅) = D₄.₁₂D₂₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4+	C8.53(C2^2xD5)	320,1424
C₈.₅₄(C₂²×D₅) = D₄.₁₃D₂₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	4-	C8.54(C2^2xD5)	320,1425
C₈.₅₅(C₂²×D₅) = D₄.₁₁D₂₀	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4	C8.55(C2^2xD5)	320,1423
C₈.₅₆(C₂²×D₅) = C₂₀.₇₂C₂⁴	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4	C8.56(C2^2xD5)	320,1422
C₈.₅₇(C₂²×D₅) = D₅×C₂×C₁₆	central extension (φ=1)	160		C8.57(C2^2xD5)	320,526
C₈.₅₈(C₂²×D₅) = C₂×C₈₀⋊C₂	central extension (φ=1)	160		C8.58(C2^2xD5)	320,527
C₈.₅₉(C₂²×D₅) = D₂₀.₆C₈	central extension (φ=1)	160	2	C8.59(C2^2xD5)	320,528
C₈.₆₀(C₂²×D₅) = D₅×M₅(2)	central extension (φ=1)	80	4	C8.60(C2^2xD5)	320,533
C₈.₆₁(C₂²×D₅) = D₂₀.₅C₈	central extension (φ=1)	160	4	C8.61(C2^2xD5)	320,534
C₈.₆₂(C₂²×D₅) = C₂²×C₅⋊₂C₁₆	central extension (φ=1)	320		C8.62(C2^2xD5)	320,723
C₈.₆₃(C₂²×D₅) = C₂×C₂₀.₄C₈	central extension (φ=1)	160		C8.63(C2^2xD5)	320,724
C₈.₆₄(C₂²×D₅) = C₄₀.₇₀C₂³	central extension (φ=1)	160	4	C8.64(C2^2xD5)	320,767
C₈.₆₅(C₂²×D₅) = C₂×D₂₀.₃C₄	central extension (φ=1)	160		C8.65(C2^2xD5)	320,1410
C₈.₆₆(C₂²×D₅) = D₅×C₈○D₄	central extension (φ=1)	80	4	C8.66(C2^2xD5)	320,1421

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Extensions 1→N→G→Q→1 with N=C8 and Q=C22×D5

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂²×D₅