# Extensions 1→N→G→Q→1 with N=D5×C4○D4 and Q=C2

Direct product G=N×Q with N=D5×C4○D4 and Q=C2
dρLabelID
C2×D5×C4○D480C2xD5xC4oD4320,1618

Semidirect products G=N:Q with N=D5×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C4○D4)⋊1C2 = D5×C4○D8φ: C2/C1C2 ⊆ Out D5×C4○D4804(D5xC4oD4):1C2320,1439
(D5×C4○D4)⋊2C2 = Q16⋊D10φ: C2/C1C2 ⊆ Out D5×C4○D4804(D5xC4oD4):2C2320,1440
(D5×C4○D4)⋊3C2 = D5×C8⋊C22φ: C2/C1C2 ⊆ Out D5×C4○D4408+(D5xC4oD4):3C2320,1444
(D5×C4○D4)⋊4C2 = SD16⋊D10φ: C2/C1C2 ⊆ Out D5×C4○D4808-(D5xC4oD4):4C2320,1445
(D5×C4○D4)⋊5C2 = D40⋊C22φ: C2/C1C2 ⊆ Out D5×C4○D4808+(D5xC4oD4):5C2320,1449
(D5×C4○D4)⋊6C2 = C10.C25φ: C2/C1C2 ⊆ Out D5×C4○D4804(D5xC4oD4):6C2320,1621
(D5×C4○D4)⋊7C2 = D5×2+ 1+4φ: C2/C1C2 ⊆ Out D5×C4○D4408+(D5xC4oD4):7C2320,1622
(D5×C4○D4)⋊8C2 = D20.37C23φ: C2/C1C2 ⊆ Out D5×C4○D4808-(D5xC4oD4):8C2320,1623
(D5×C4○D4)⋊9C2 = D5×2- 1+4φ: C2/C1C2 ⊆ Out D5×C4○D4808-(D5xC4oD4):9C2320,1624
(D5×C4○D4)⋊10C2 = D20.39C23φ: C2/C1C2 ⊆ Out D5×C4○D4808+(D5xC4oD4):10C2320,1625

Non-split extensions G=N.Q with N=D5×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C4○D4).1C2 = D5×C4≀C2φ: C2/C1C2 ⊆ Out D5×C4○D4404(D5xC4oD4).1C2320,447
(D5×C4○D4).2C2 = C42⋊D10φ: C2/C1C2 ⊆ Out D5×C4○D4804(D5xC4oD4).2C2320,448
(D5×C4○D4).3C2 = C20.72C24φ: C2/C1C2 ⊆ Out D5×C4○D4804(D5xC4oD4).3C2320,1422
(D5×C4○D4).4C2 = D5×C8.C22φ: C2/C1C2 ⊆ Out D5×C4○D4808-(D5xC4oD4).4C2320,1448
(D5×C4○D4).5C2 = D5⋊C4≀C2φ: C2/C1C2 ⊆ Out D5×C4○D4408(D5xC4oD4).5C2320,1130
(D5×C4○D4).6C2 = C4○D4⋊F5φ: C2/C1C2 ⊆ Out D5×C4○D4408(D5xC4oD4).6C2320,1131
(D5×C4○D4).7C2 = C4○D20⋊C4φ: C2/C1C2 ⊆ Out D5×C4○D4808(D5xC4oD4).7C2320,1132
(D5×C4○D4).8C2 = D4⋊F5⋊C2φ: C2/C1C2 ⊆ Out D5×C4○D4808(D5xC4oD4).8C2320,1133
(D5×C4○D4).9C2 = Dic5.21C24φ: C2/C1C2 ⊆ Out D5×C4○D4808(D5xC4oD4).9C2320,1601
(D5×C4○D4).10C2 = Dic5.22C24φ: C2/C1C2 ⊆ Out D5×C4○D4808(D5xC4oD4).10C2320,1602
(D5×C4○D4).11C2 = C4○D4×F5φ: C2/C1C2 ⊆ Out D5×C4○D4408(D5xC4oD4).11C2320,1603
(D5×C4○D4).12C2 = D5.2+ 1+4φ: C2/C1C2 ⊆ Out D5×C4○D4408(D5xC4oD4).12C2320,1604
(D5×C4○D4).13C2 = D5×C8○D4φ: trivial image804(D5xC4oD4).13C2320,1421

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