# Extensions 1→N→G→Q→1 with N=Q8×D5 and Q=C22

Direct product G=N×Q with N=Q8×D5 and Q=C22
dρLabelID
C22×Q8×D5160C2^2xQ8xD5320,1615

Semidirect products G=N:Q with N=Q8×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(Q8×D5)⋊1C22 = D20.29D4φ: C22/C1C22 ⊆ Out Q8×D5804(Q8xD5):1C2^2320,1434
(Q8×D5)⋊2C22 = D811D10φ: C22/C1C22 ⊆ Out Q8×D5804(Q8xD5):2C2^2320,1442
(Q8×D5)⋊3C22 = D86D10φ: C22/C1C22 ⊆ Out Q8×D5808-(Q8xD5):3C2^2320,1447
(Q8×D5)⋊4C22 = C40.C23φ: C22/C1C22 ⊆ Out Q8×D5808+(Q8xD5):4C2^2320,1450
(Q8×D5)⋊5C22 = C2×D5×SD16φ: C22/C2C2 ⊆ Out Q8×D580(Q8xD5):5C2^2320,1430
(Q8×D5)⋊6C22 = C2×SD16⋊D5φ: C22/C2C2 ⊆ Out Q8×D5160(Q8xD5):6C2^2320,1432
(Q8×D5)⋊7C22 = C2×Q16⋊D5φ: C22/C2C2 ⊆ Out Q8×D5160(Q8xD5):7C2^2320,1436
(Q8×D5)⋊8C22 = Q16⋊D10φ: C22/C2C2 ⊆ Out Q8×D5804(Q8xD5):8C2^2320,1440
(Q8×D5)⋊9C22 = D5×C8⋊C22φ: C22/C2C2 ⊆ Out Q8×D5408+(Q8xD5):9C2^2320,1444
(Q8×D5)⋊10C22 = SD16⋊D10φ: C22/C2C2 ⊆ Out Q8×D5808-(Q8xD5):10C2^2320,1445
(Q8×D5)⋊11C22 = D5×C8.C22φ: C22/C2C2 ⊆ Out Q8×D5808-(Q8xD5):11C2^2320,1448
(Q8×D5)⋊12C22 = D40⋊C22φ: C22/C2C2 ⊆ Out Q8×D5808+(Q8xD5):12C2^2320,1449
(Q8×D5)⋊13C22 = C2×Q8.10D10φ: C22/C2C2 ⊆ Out Q8×D5160(Q8xD5):13C2^2320,1617
(Q8×D5)⋊14C22 = C2×D4.10D10φ: C22/C2C2 ⊆ Out Q8×D5160(Q8xD5):14C2^2320,1620
(Q8×D5)⋊15C22 = C10.C25φ: C22/C2C2 ⊆ Out Q8×D5804(Q8xD5):15C2^2320,1621
(Q8×D5)⋊16C22 = D20.37C23φ: C22/C2C2 ⊆ Out Q8×D5808-(Q8xD5):16C2^2320,1623
(Q8×D5)⋊17C22 = D5×2- 1+4φ: C22/C2C2 ⊆ Out Q8×D5808-(Q8xD5):17C2^2320,1624
(Q8×D5)⋊18C22 = D20.39C23φ: C22/C2C2 ⊆ Out Q8×D5808+(Q8xD5):18C2^2320,1625
(Q8×D5)⋊19C22 = C2×D5×C4○D4φ: trivial image80(Q8xD5):19C2^2320,1618
(Q8×D5)⋊20C22 = D5×2+ 1+4φ: trivial image408+(Q8xD5):20C2^2320,1622

Non-split extensions G=N.Q with N=Q8×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(Q8×D5).1C22 = D20.30D4φ: C22/C1C22 ⊆ Out Q8×D51604(Q8xD5).1C2^2320,1438
(Q8×D5).2C22 = D20.47D4φ: C22/C1C22 ⊆ Out Q8×D51604-(Q8xD5).2C2^2320,1443
(Q8×D5).3C22 = D20.44D4φ: C22/C1C22 ⊆ Out Q8×D51608-(Q8xD5).3C2^2320,1451
(Q8×D5).4C22 = SD16×F5φ: C22/C1C22 ⊆ Out Q8×D5408(Q8xD5).4C2^2320,1072
(Q8×D5).5C22 = SD16⋊F5φ: C22/C1C22 ⊆ Out Q8×D5408(Q8xD5).5C2^2320,1073
(Q8×D5).6C22 = Q16×F5φ: C22/C1C22 ⊆ Out Q8×D5808-(Q8xD5).6C2^2320,1076
(Q8×D5).7C22 = Dic20⋊C4φ: C22/C1C22 ⊆ Out Q8×D5808-(Q8xD5).7C2^2320,1077
(Q8×D5).8C22 = C2×D5×Q16φ: C22/C2C2 ⊆ Out Q8×D5160(Q8xD5).8C2^2320,1435
(Q8×D5).9C22 = D5×C4○D8φ: C22/C2C2 ⊆ Out Q8×D5804(Q8xD5).9C2^2320,1439
(Q8×D5).10C22 = C2×Q8⋊F5φ: C22/C2C2 ⊆ Out Q8×D580(Q8xD5).10C2^2320,1119
(Q8×D5).11C22 = (C2×Q8)⋊4F5φ: C22/C2C2 ⊆ Out Q8×D5808-(Q8xD5).11C2^2320,1120
(Q8×D5).12C22 = C4○D4⋊F5φ: C22/C2C2 ⊆ Out Q8×D5408(Q8xD5).12C2^2320,1131
(Q8×D5).13C22 = C4○D20⋊C4φ: C22/C2C2 ⊆ Out Q8×D5808(Q8xD5).13C2^2320,1132
(Q8×D5).14C22 = C2×Q8×F5φ: C22/C2C2 ⊆ Out Q8×D580(Q8xD5).14C2^2320,1599
(Q8×D5).15C22 = D5.2- 1+4φ: C22/C2C2 ⊆ Out Q8×D5808-(Q8xD5).15C2^2320,1600
(Q8×D5).16C22 = C4○D4×F5φ: C22/C2C2 ⊆ Out Q8×D5408(Q8xD5).16C2^2320,1603
(Q8×D5).17C22 = D5.2+ 1+4φ: C22/C2C2 ⊆ Out Q8×D5408(Q8xD5).17C2^2320,1604

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