Extensions 1→N→G→Q→1 with N=C2×C4○D4 and Q=C10

Direct product G=N×Q with N=C2×C4○D4 and Q=C10
dρLabelID
C4○D4×C2×C10160C4oD4xC2xC10320,1631

Semidirect products G=N:Q with N=C2×C4○D4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×C4○D4)⋊1C10 = C5×D4⋊D4φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4):1C10320,950
(C2×C4○D4)⋊2C10 = C5×C22.19C24φ: C10/C5C2 ⊆ Out C2×C4○D480(C2xC4oD4):2C10320,1527
(C2×C4○D4)⋊3C10 = C5×C22.26C24φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4):3C10320,1534
(C2×C4○D4)⋊4C10 = C5×C22.29C24φ: C10/C5C2 ⊆ Out C2×C4○D480(C2xC4oD4):4C10320,1537
(C2×C4○D4)⋊5C10 = C5×C22.31C24φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4):5C10320,1539
(C2×C4○D4)⋊6C10 = C5×D45D4φ: C10/C5C2 ⊆ Out C2×C4○D480(C2xC4oD4):6C10320,1548
(C2×C4○D4)⋊7C10 = C5×D46D4φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4):7C10320,1549
(C2×C4○D4)⋊8C10 = C5×Q85D4φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4):8C10320,1550
(C2×C4○D4)⋊9C10 = C5×Q86D4φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4):9C10320,1552
(C2×C4○D4)⋊10C10 = C10×C4○D8φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4):10C10320,1574
(C2×C4○D4)⋊11C10 = C10×C8⋊C22φ: C10/C5C2 ⊆ Out C2×C4○D480(C2xC4oD4):11C10320,1575
(C2×C4○D4)⋊12C10 = C5×D8⋊C22φ: C10/C5C2 ⊆ Out C2×C4○D4804(C2xC4oD4):12C10320,1577
(C2×C4○D4)⋊13C10 = C10×2+ 1+4φ: C10/C5C2 ⊆ Out C2×C4○D480(C2xC4oD4):13C10320,1632
(C2×C4○D4)⋊14C10 = C10×2- 1+4φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4):14C10320,1633
(C2×C4○D4)⋊15C10 = C5×C2.C25φ: C10/C5C2 ⊆ Out C2×C4○D4804(C2xC4oD4):15C10320,1634

Non-split extensions G=N.Q with N=C2×C4○D4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×C4○D4).1C10 = C5×(C22×C8)⋊C2φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4).1C10320,909
(C2×C4○D4).2C10 = C5×C23.C23φ: C10/C5C2 ⊆ Out C2×C4○D4804(C2xC4oD4).2C10320,911
(C2×C4○D4).3C10 = C5×M4(2).8C22φ: C10/C5C2 ⊆ Out C2×C4○D4804(C2xC4oD4).3C10320,914
(C2×C4○D4).4C10 = C5×C23.24D4φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4).4C10320,917
(C2×C4○D4).5C10 = C5×C23.36D4φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4).5C10320,918
(C2×C4○D4).6C10 = C10×C4≀C2φ: C10/C5C2 ⊆ Out C2×C4○D480(C2xC4oD4).6C10320,921
(C2×C4○D4).7C10 = C5×C42⋊C22φ: C10/C5C2 ⊆ Out C2×C4○D4804(C2xC4oD4).7C10320,922
(C2×C4○D4).8C10 = C5×D4.7D4φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4).8C10320,953
(C2×C4○D4).9C10 = C5×C23.33C23φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4).9C10320,1522
(C2×C4○D4).10C10 = C5×C23.38C23φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4).10C10320,1538
(C2×C4○D4).11C10 = C5×Q8○M4(2)φ: C10/C5C2 ⊆ Out C2×C4○D4804(C2xC4oD4).11C10320,1570
(C2×C4○D4).12C10 = C10×C8.C22φ: C10/C5C2 ⊆ Out C2×C4○D4160(C2xC4oD4).12C10320,1576
(C2×C4○D4).13C10 = C4○D4×C20φ: trivial image160(C2xC4oD4).13C10320,1519
(C2×C4○D4).14C10 = C10×C8○D4φ: trivial image160(C2xC4oD4).14C10320,1569

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