# Extensions 1→N→G→Q→1 with N=C5×SD16 and Q=C22

Direct product G=N×Q with N=C5×SD16 and Q=C22
dρLabelID
SD16×C2×C10160SD16xC2xC10320,1572

Semidirect products G=N:Q with N=C5×SD16 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×SD16)⋊1C22 = D5×C8⋊C22φ: C22/C1C22 ⊆ Out C5×SD16408+(C5xSD16):1C2^2320,1444
(C5×SD16)⋊2C22 = SD16⋊D10φ: C22/C1C22 ⊆ Out C5×SD16808-(C5xSD16):2C2^2320,1445
(C5×SD16)⋊3C22 = D85D10φ: C22/C1C22 ⊆ Out C5×SD16808+(C5xSD16):3C2^2320,1446
(C5×SD16)⋊4C22 = D86D10φ: C22/C1C22 ⊆ Out C5×SD16808-(C5xSD16):4C2^2320,1447
(C5×SD16)⋊5C22 = D5×C8.C22φ: C22/C1C22 ⊆ Out C5×SD16808-(C5xSD16):5C2^2320,1448
(C5×SD16)⋊6C22 = D40⋊C22φ: C22/C1C22 ⊆ Out C5×SD16808+(C5xSD16):6C2^2320,1449
(C5×SD16)⋊7C22 = C40.C23φ: C22/C1C22 ⊆ Out C5×SD16808+(C5xSD16):7C2^2320,1450
(C5×SD16)⋊8C22 = C2×D40⋊C2φ: C22/C2C2 ⊆ Out C5×SD1680(C5xSD16):8C2^2320,1431
(C5×SD16)⋊9C22 = C2×SD16⋊D5φ: C22/C2C2 ⊆ Out C5×SD16160(C5xSD16):9C2^2320,1432
(C5×SD16)⋊10C22 = Q16⋊D10φ: C22/C2C2 ⊆ Out C5×SD16804(C5xSD16):10C2^2320,1440
(C5×SD16)⋊11C22 = D815D10φ: C22/C2C2 ⊆ Out C5×SD16804+(C5xSD16):11C2^2320,1441
(C5×SD16)⋊12C22 = C2×D5×SD16φ: C22/C2C2 ⊆ Out C5×SD1680(C5xSD16):12C2^2320,1430
(C5×SD16)⋊13C22 = C2×SD163D5φ: C22/C2C2 ⊆ Out C5×SD16160(C5xSD16):13C2^2320,1433
(C5×SD16)⋊14C22 = D20.29D4φ: C22/C2C2 ⊆ Out C5×SD16804(C5xSD16):14C2^2320,1434
(C5×SD16)⋊15C22 = D5×C4○D8φ: C22/C2C2 ⊆ Out C5×SD16804(C5xSD16):15C2^2320,1439
(C5×SD16)⋊16C22 = D811D10φ: C22/C2C2 ⊆ Out C5×SD16804(C5xSD16):16C2^2320,1442
(C5×SD16)⋊17C22 = C10×C8⋊C22φ: C22/C2C2 ⊆ Out C5×SD1680(C5xSD16):17C2^2320,1575
(C5×SD16)⋊18C22 = C10×C8.C22φ: C22/C2C2 ⊆ Out C5×SD16160(C5xSD16):18C2^2320,1576
(C5×SD16)⋊19C22 = C5×D8⋊C22φ: C22/C2C2 ⊆ Out C5×SD16804(C5xSD16):19C2^2320,1577
(C5×SD16)⋊20C22 = C5×D4○D8φ: C22/C2C2 ⊆ Out C5×SD16804(C5xSD16):20C2^2320,1578
(C5×SD16)⋊21C22 = C5×D4○SD16φ: C22/C2C2 ⊆ Out C5×SD16804(C5xSD16):21C2^2320,1579
(C5×SD16)⋊22C22 = C10×C4○D8φ: trivial image160(C5xSD16):22C2^2320,1574

Non-split extensions G=N.Q with N=C5×SD16 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×SD16).C22 = D20.44D4φ: C22/C1C22 ⊆ Out C5×SD161608-(C5xSD16).C2^2320,1451
(C5×SD16).2C22 = D20.47D4φ: C22/C2C2 ⊆ Out C5×SD161604-(C5xSD16).2C2^2320,1443
(C5×SD16).3C22 = C5×Q8○D8φ: C22/C2C2 ⊆ Out C5×SD161604(C5xSD16).3C2^2320,1580

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