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Extensions 1→N→G→Q→1 with N=D8⋊C4 and Q=C2

Direct product G=N×Q with N=D8⋊C4 and Q=C2
dρLabelID
C2×D8⋊C464C2xD8:C4128,1674

Semidirect products G=N:Q with N=D8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D8⋊C4⋊1C2 = D16⋊C4φ: C2/C1 → C2 ⊆ Out D8⋊C4168+D8:C4:1C2128,913
D8⋊C4⋊2C2 = C42.275C23φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:2C2128,1678
D8⋊C4⋊3C2 = C42.277C23φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:3C2128,1680
D8⋊C4⋊4C2 = C42.281C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:4C2128,1684
D8⋊C4⋊5C2 = C42.227D4φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:5C2128,1841
D8⋊C4⋊6C2 = C42.229D4φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:6C2128,1843
D8⋊C4⋊7C2 = C42.232D4φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:7C2128,1846
D8⋊C4⋊8C2 = C42.233D4φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:8C2128,1847
D8⋊C4⋊9C2 = C42.352C23φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:9C2128,1850
D8⋊C4⋊10C2 = C42.353C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:10C2128,1851
D8⋊C4⋊11C2 = C42.356C23φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:11C2128,1854
D8⋊C4⋊12C2 = C42.359C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:12C2128,1857
D8⋊C4⋊13C2 = C42.385C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:13C2128,1905
D8⋊C4⋊14C2 = C42.388C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:14C2128,1908
D8⋊C4⋊15C2 = C42.391C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:15C2128,1911
D8⋊C4⋊16C2 = C42.257D4φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:16C2128,1912
D8⋊C4⋊17C2 = C42.260D4φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:17C2128,1915
D8⋊C4⋊18C2 = C42.261D4φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:18C2128,1916
D8⋊C4⋊19C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:19C2128,1996
D8⋊C4⋊20C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:20C2128,1999
D8⋊C4⋊21C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:21C2128,2038
D8⋊C4⋊22C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:22C2128,2039
D8⋊C4⋊23C2 = C42.53C23φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:23C2128,2050
D8⋊C4⋊24C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out D8⋊C432D8:C4:24C2128,2051
D8⋊C4⋊25C2 = C42.59C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:25C2128,2077
D8⋊C4⋊26C2 = C42.61C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:26C2128,2079
D8⋊C4⋊27C2 = C42.507C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:27C2128,2098
D8⋊C4⋊28C2 = C42.511C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:28C2128,2102
D8⋊C4⋊29C2 = C42.514C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:29C2128,2105
D8⋊C4⋊30C2 = C42.74C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:30C2128,2131
D8⋊C4⋊31C2 = C42.531C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4:31C2128,2133
D8⋊C4⋊32C2 = C42.383D4φ: trivial image64D8:C4:32C2128,1675
D8⋊C4⋊33C2 = C4×C8⋊C22φ: trivial image32D8:C4:33C2128,1676

Non-split extensions G=N.Q with N=D8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D8⋊C4.1C2 = C42.517C23φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4.1C2128,2108
D8⋊C4.2C2 = D8⋊4Q8φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4.2C2128,2116
D8⋊C4.3C2 = D8⋊5Q8φ: C2/C1 → C2 ⊆ Out D8⋊C464D8:C4.3C2128,2121

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