Extensions 1→N→G→Q→1 with N=C4xD4 and Q=C10

Direct product G=NxQ with N=C4xD4 and Q=C10
dρLabelID
D4xC2xC20160D4xC2xC20320,1517

Semidirect products G=N:Q with N=C4xD4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4xD4):1C10 = D8xC20φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):1C10320,938
(C4xD4):2C10 = C5xD8:C4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):2C10320,943
(C4xD4):3C10 = C5xC4:D8φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):3C10320,960
(C4xD4):4C10 = C5xD4.2D4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):4C10320,964
(C4xD4):5C10 = C5xC22.11C24φ: C10/C5C2 ⊆ Out C4xD480(C4xD4):5C10320,1520
(C4xD4):6C10 = C5xC23.33C23φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):6C10320,1522
(C4xD4):7C10 = C5xC22.19C24φ: C10/C5C2 ⊆ Out C4xD480(C4xD4):7C10320,1527
(C4xD4):8C10 = C5xC23.36C23φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):8C10320,1531
(C4xD4):9C10 = C5xC22.26C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):9C10320,1534
(C4xD4):10C10 = C5xC22.32C24φ: C10/C5C2 ⊆ Out C4xD480(C4xD4):10C10320,1540
(C4xD4):11C10 = C5xC22.33C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):11C10320,1541
(C4xD4):12C10 = C5xC22.34C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):12C10320,1542
(C4xD4):13C10 = C5xC22.36C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):13C10320,1544
(C4xD4):14C10 = C5xD42φ: C10/C5C2 ⊆ Out C4xD480(C4xD4):14C10320,1547
(C4xD4):15C10 = C5xD4:5D4φ: C10/C5C2 ⊆ Out C4xD480(C4xD4):15C10320,1548
(C4xD4):16C10 = C5xD4:6D4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):16C10320,1549
(C4xD4):17C10 = C5xQ8:5D4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):17C10320,1550
(C4xD4):18C10 = C5xQ8:6D4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):18C10320,1552
(C4xD4):19C10 = C5xC22.45C24φ: C10/C5C2 ⊆ Out C4xD480(C4xD4):19C10320,1553
(C4xD4):20C10 = C5xC22.47C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):20C10320,1555
(C4xD4):21C10 = C5xC22.49C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):21C10320,1557
(C4xD4):22C10 = C5xC22.53C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4):22C10320,1561
(C4xD4):23C10 = C4oD4xC20φ: trivial image160(C4xD4):23C10320,1519

Non-split extensions G=N.Q with N=C4xD4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C4xD4).1C10 = C5xD4:C8φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).1C10320,130
(C4xD4).2C10 = C5xC8:9D4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).2C10320,936
(C4xD4).3C10 = C5xC8:6D4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).3C10320,937
(C4xD4).4C10 = SD16xC20φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).4C10320,939
(C4xD4).5C10 = C5xSD16:C4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).5C10320,941
(C4xD4).6C10 = C5xD4.D4φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).6C10320,962
(C4xD4).7C10 = C5xD4:Q8φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).7C10320,975
(C4xD4).8C10 = C5xD4:2Q8φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).8C10320,977
(C4xD4).9C10 = C5xD4.Q8φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).9C10320,979
(C4xD4).10C10 = C5xD4xQ8φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).10C10320,1551
(C4xD4).11C10 = C5xC22.46C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).11C10320,1554
(C4xD4).12C10 = C5xD4:3Q8φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).12C10320,1556
(C4xD4).13C10 = C5xC22.50C24φ: C10/C5C2 ⊆ Out C4xD4160(C4xD4).13C10320,1558
(C4xD4).14C10 = D4xC40φ: trivial image160(C4xD4).14C10320,935

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