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Extensions 1→N→G→Q→1 with N=C5×C4⋊Q8 and Q=C2

Direct product G=N×Q with N=C5×C4⋊Q8 and Q=C2
dρLabelID
C10×C4⋊Q8320C10xC4:Q8320,1533

Semidirect products G=N:Q with N=C5×C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4⋊Q8)⋊1C2 = C20⋊5SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):1C2320,710
(C5×C4⋊Q8)⋊2C2 = D20⋊5Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):2C2320,711
(C5×C4⋊Q8)⋊3C2 = C20⋊6SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):3C2320,712
(C5×C4⋊Q8)⋊4C2 = C42.80D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):4C2320,713
(C5×C4⋊Q8)⋊5C2 = D20⋊6Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):5C2320,714
(C5×C4⋊Q8)⋊6C2 = C20.D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):6C2320,715
(C5×C4⋊Q8)⋊7C2 = C42.82D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):7C2320,716
(C5×C4⋊Q8)⋊8C2 = D20.15D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8804(C5xC4:Q8):8C2320,722
(C5×C4⋊Q8)⋊9C2 = D5×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):9C2320,1395
(C5×C4⋊Q8)⋊10C2 = C42.171D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):10C2320,1396
(C5×C4⋊Q8)⋊11C2 = C42.240D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):11C2320,1397
(C5×C4⋊Q8)⋊12C2 = D20⋊12D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):12C2320,1398
(C5×C4⋊Q8)⋊13C2 = D20⋊8Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):13C2320,1399
(C5×C4⋊Q8)⋊14C2 = C42.241D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):14C2320,1400
(C5×C4⋊Q8)⋊15C2 = C42.174D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):15C2320,1401
(C5×C4⋊Q8)⋊16C2 = D20⋊9Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):16C2320,1402
(C5×C4⋊Q8)⋊17C2 = C42.176D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):17C2320,1403
(C5×C4⋊Q8)⋊18C2 = C42.177D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):18C2320,1404
(C5×C4⋊Q8)⋊19C2 = C42.178D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):19C2320,1405
(C5×C4⋊Q8)⋊20C2 = C42.179D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):20C2320,1406
(C5×C4⋊Q8)⋊21C2 = C42.180D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):21C2320,1407
(C5×C4⋊Q8)⋊22C2 = C5×D4.10D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8804(C5xC4:Q8):22C2320,957
(C5×C4⋊Q8)⋊23C2 = C5×D4.D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):23C2320,962
(C5×C4⋊Q8)⋊24C2 = C5×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):24C2320,975
(C5×C4⋊Q8)⋊25C2 = C5×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):25C2320,977
(C5×C4⋊Q8)⋊26C2 = C5×C4.4D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):26C2320,987
(C5×C4⋊Q8)⋊27C2 = C5×C42.28C22φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):27C2320,990
(C5×C4⋊Q8)⋊28C2 = C5×C8⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):28C2320,993
(C5×C4⋊Q8)⋊29C2 = C5×C8.2D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):29C2320,998
(C5×C4⋊Q8)⋊30C2 = C5×C23.38C23φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):30C2320,1538
(C5×C4⋊Q8)⋊31C2 = C5×C22.35C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):31C2320,1543
(C5×C4⋊Q8)⋊32C2 = C5×C22.36C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):32C2320,1544
(C5×C4⋊Q8)⋊33C2 = C5×C23.41C23φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):33C2320,1546
(C5×C4⋊Q8)⋊34C2 = C5×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):34C2320,1549
(C5×C4⋊Q8)⋊35C2 = C5×D4×Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):35C2320,1551
(C5×C4⋊Q8)⋊36C2 = C5×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):36C2320,1556
(C5×C4⋊Q8)⋊37C2 = C5×C22.49C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):37C2320,1557
(C5×C4⋊Q8)⋊38C2 = C5×C22.50C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):38C2320,1558
(C5×C4⋊Q8)⋊39C2 = C5×C22.57C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8160(C5xC4:Q8):39C2320,1565
(C5×C4⋊Q8)⋊40C2 = C5×C22.26C24φ: trivial image160(C5xC4:Q8):40C2320,1534
(C5×C4⋊Q8)⋊41C2 = C5×C23.37C23φ: trivial image160(C5xC4:Q8):41C2320,1535

Non-split extensions G=N.Q with N=C5×C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4⋊Q8).1C2 = C20.5Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).1C2320,104
(C5×C4⋊Q8).2C2 = C20.10D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).2C2320,105
(C5×C4⋊Q8).3C2 = C42.3Dic5φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8804(C5xC4:Q8).3C2320,106
(C5×C4⋊Q8).4C2 = C20.17D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).4C2320,705
(C5×C4⋊Q8).5C2 = C20.SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).5C2320,706
(C5×C4⋊Q8).6C2 = C42.76D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).6C2320,707
(C5×C4⋊Q8).7C2 = C20.Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).7C2320,708
(C5×C4⋊Q8).8C2 = C42.77D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).8C2320,709
(C5×C4⋊Q8).9C2 = C20⋊Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).9C2320,717
(C5×C4⋊Q8).10C2 = Dic10⋊5Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).10C2320,718
(C5×C4⋊Q8).11C2 = C20⋊3Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).11C2320,719
(C5×C4⋊Q8).12C2 = C20.11Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).12C2320,720
(C5×C4⋊Q8).13C2 = Dic10⋊6Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).13C2320,721
(C5×C4⋊Q8).14C2 = Dic10⋊8Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).14C2320,1393
(C5×C4⋊Q8).15C2 = Dic10⋊9Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).15C2320,1394
(C5×C4⋊Q8).16C2 = C5×C4.10D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).16C2320,137
(C5×C4⋊Q8).17C2 = C5×C4.6Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).17C2320,138
(C5×C4⋊Q8).18C2 = C5×C42.3C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8804(C5xC4:Q8).18C2320,161
(C5×C4⋊Q8).19C2 = C5×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).19C2320,963
(C5×C4⋊Q8).20C2 = C5×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).20C2320,976
(C5×C4⋊Q8).21C2 = C5×C4.Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).21C2320,978
(C5×C4⋊Q8).22C2 = C5×C4.SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).22C2320,988
(C5×C4⋊Q8).23C2 = C5×C42.30C22φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).23C2320,992
(C5×C4⋊Q8).24C2 = C5×C4⋊Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).24C2320,995
(C5×C4⋊Q8).25C2 = C5×C8⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).25C2320,999
(C5×C4⋊Q8).26C2 = C5×C8⋊2Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).26C2320,1001
(C5×C4⋊Q8).27C2 = C5×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).27C2320,1002
(C5×C4⋊Q8).28C2 = C5×Q8⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).28C2320,1559
(C5×C4⋊Q8).29C2 = C5×Q82φ: C2/C1 → C2 ⊆ Out C5×C4⋊Q8320(C5xC4:Q8).29C2320,1560

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