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Extensions 1→N→G→Q→1 with N=Q8×C2×C10 and Q=C2

Direct product G=N×Q with N=Q8×C2×C10 and Q=C2
dρLabelID
Q8×C22×C10320Q8xC2^2xC10320,1630

Semidirect products G=N:Q with N=Q8×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C2×C10)⋊1C2 = (C5×Q8)⋊13D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):1C2320,854
(Q8×C2×C10)⋊2C2 = C22×Q8⋊D5φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):2C2320,1479
(Q8×C2×C10)⋊3C2 = C2×C20.C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):3C2320,1480
(Q8×C2×C10)⋊4C2 = C2×D10⋊3Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):4C2320,1485
(Q8×C2×C10)⋊5C2 = C2×C20.23D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):5C2320,1486
(Q8×C2×C10)⋊6C2 = Q8×C5⋊D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):6C2320,1487
(Q8×C2×C10)⋊7C2 = C10.442- 1+4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):7C2320,1488
(Q8×C2×C10)⋊8C2 = C10.452- 1+4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):8C2320,1489
(Q8×C2×C10)⋊9C2 = C22×Q8×D5φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):9C2320,1615
(Q8×C2×C10)⋊10C2 = C22×Q8⋊2D5φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):10C2320,1616
(Q8×C2×C10)⋊11C2 = C2×Q8.10D10φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):11C2320,1617
(Q8×C2×C10)⋊12C2 = (C22×D5)⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):12C2320,858
(Q8×C2×C10)⋊13C2 = C5×C23⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):13C2320,894
(Q8×C2×C10)⋊14C2 = C5×Q8⋊D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):14C2320,949
(Q8×C2×C10)⋊15C2 = C10×C22⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):15C2320,1525
(Q8×C2×C10)⋊16C2 = C10×C4.4D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):16C2320,1528
(Q8×C2×C10)⋊17C2 = C5×C23.38C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):17C2320,1538
(Q8×C2×C10)⋊18C2 = C5×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):18C2320,1550
(Q8×C2×C10)⋊19C2 = C5×D4×Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):19C2320,1551
(Q8×C2×C10)⋊20C2 = SD16×C2×C10φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):20C2320,1572
(Q8×C2×C10)⋊21C2 = C10×C8.C22φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):21C2320,1576
(Q8×C2×C10)⋊22C2 = C10×2- 1+4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10):22C2320,1633
(Q8×C2×C10)⋊23C2 = C4○D4×C2×C10φ: trivial image160(Q8xC2xC10):23C2320,1631

Non-split extensions G=N.Q with N=Q8×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C2×C10).1C2 = C2×Q8⋊Dic5φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).1C2320,851
(Q8×C2×C10).2C2 = (Q8×C10)⋊16C4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10).2C2320,852
(Q8×C2×C10).3C2 = C2×C20.10D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10).3C2320,853
(Q8×C2×C10).4C2 = (C2×C10)⋊8Q16φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10).4C2320,855
(Q8×C2×C10).5C2 = (Q8×C10)⋊17C4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).5C2320,857
(Q8×C2×C10).6C2 = C22×C5⋊Q16φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).6C2320,1481
(Q8×C2×C10).7C2 = C2×Dic5⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).7C2320,1482
(Q8×C2×C10).8C2 = C2×Q8×Dic5φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).8C2320,1483
(Q8×C2×C10).9C2 = C10.422- 1+4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10).9C2320,1484
(Q8×C2×C10).10C2 = C10.C22≀C2φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).10C2320,856
(Q8×C2×C10).11C2 = C5×C23.67C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).11C2320,892
(Q8×C2×C10).12C2 = C5×C23.78C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).12C2320,896
(Q8×C2×C10).13C2 = C10×C4.10D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10).13C2320,913
(Q8×C2×C10).14C2 = C10×Q8⋊C4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).14C2320,916
(Q8×C2×C10).15C2 = C5×C23.38D4φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10).15C2320,920
(Q8×C2×C10).16C2 = C5×C22⋊Q16φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10).16C2320,952
(Q8×C2×C10).17C2 = C5×C23.32C23φ: C2/C1 → C2 ⊆ Out Q8×C2×C10160(Q8xC2xC10).17C2320,1521
(Q8×C2×C10).18C2 = C10×C4⋊Q8φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).18C2320,1533
(Q8×C2×C10).19C2 = Q16×C2×C10φ: C2/C1 → C2 ⊆ Out Q8×C2×C10320(Q8xC2xC10).19C2320,1573
(Q8×C2×C10).20C2 = Q8×C2×C20φ: trivial image320(Q8xC2xC10).20C2320,1518

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