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Extensions 1→N→G→Q→1 with N=Q16⋊C4 and Q=C2

Direct product G=N×Q with N=Q16⋊C4 and Q=C2
dρLabelID
C2×Q16⋊C4128C2xQ16:C4128,1673

Semidirect products G=N:Q with N=Q16⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q16⋊C4⋊1C2 = Q32⋊C4φ: C2/C1 → C2 ⊆ Out Q16⋊C4328-Q16:C4:1C2128,912
Q16⋊C4⋊2C2 = C42.276C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:2C2128,1679
Q16⋊C4⋊3C2 = C42.279C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:3C2128,1682
Q16⋊C4⋊4C2 = C42.281C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:4C2128,1684
Q16⋊C4⋊5C2 = C42.229D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:5C2128,1843
Q16⋊C4⋊6C2 = C42.231D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:6C2128,1845
Q16⋊C4⋊7C2 = C42.234D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:7C2128,1848
Q16⋊C4⋊8C2 = C42.235D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:8C2128,1849
Q16⋊C4⋊9C2 = C42.354C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:9C2128,1852
Q16⋊C4⋊10C2 = C42.355C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:10C2128,1853
Q16⋊C4⋊11C2 = C42.359C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:11C2128,1857
Q16⋊C4⋊12C2 = C42.361C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:12C2128,1859
Q16⋊C4⋊13C2 = C42.385C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:13C2128,1905
Q16⋊C4⋊14C2 = C42.389C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:14C2128,1909
Q16⋊C4⋊15C2 = C42.390C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:15C2128,1910
Q16⋊C4⋊16C2 = C42.258D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:16C2128,1913
Q16⋊C4⋊17C2 = C42.260D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:17C2128,1915
Q16⋊C4⋊18C2 = C42.262D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:18C2128,1917
Q16⋊C4⋊19C2 = Q16⋊9D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:19C2128,2002
Q16⋊C4⋊20C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:20C2128,2003
Q16⋊C4⋊21C2 = C42.47C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:21C2128,2044
Q16⋊C4⋊22C2 = C42.48C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:22C2128,2045
Q16⋊C4⋊23C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:23C2128,2048
Q16⋊C4⋊24C2 = C42.52C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:24C2128,2049
Q16⋊C4⋊25C2 = C42.58C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:25C2128,2076
Q16⋊C4⋊26C2 = C42.63C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:26C2128,2081
Q16⋊C4⋊27C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:27C2128,2101
Q16⋊C4⋊28C2 = C42.512C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:28C2128,2103
Q16⋊C4⋊29C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:29C2128,2109
Q16⋊C4⋊30C2 = C42.73C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:30C2128,2130
Q16⋊C4⋊31C2 = C42.531C23φ: C2/C1 → C2 ⊆ Out Q16⋊C464Q16:C4:31C2128,2133
Q16⋊C4⋊32C2 = C42.383D4φ: trivial image64Q16:C4:32C2128,1675
Q16⋊C4⋊33C2 = C4×C8.C22φ: trivial image64Q16:C4:33C2128,1677

Non-split extensions G=N.Q with N=Q16⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q16⋊C4.1C2 = C42.515C23φ: C2/C1 → C2 ⊆ Out Q16⋊C4128Q16:C4.1C2128,2106
Q16⋊C4.2C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out Q16⋊C4128Q16:C4.2C2128,2119
Q16⋊C4.3C2 = Q16⋊5Q8φ: C2/C1 → C2 ⊆ Out Q16⋊C4128Q16:C4.3C2128,2122

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