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Extensions 1→N→G→Q→1 with N=C4⋊2Q16 and Q=C2

Direct product G=N×Q with N=C4⋊2Q16 and Q=C2
dρLabelID
C2×C4⋊2Q16128C2xC4:2Q16128,1765

Semidirect products G=N:Q with N=C4⋊2Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊2Q16⋊1C2 = C42.201C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:1C2128,372
C4⋊2Q16⋊2C2 = Q8.D8φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:2C2128,373
C4⋊2Q16⋊3C2 = D4⋊3Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:3C2128,376
C4⋊2Q16⋊4C2 = D4⋊4Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:4C2128,381
C4⋊2Q16⋊5C2 = C42.213C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:5C2128,384
C4⋊2Q16⋊6C2 = Q8.2D8φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:6C2128,414
C4⋊2Q16⋊7C2 = C42.253C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:7C2128,434
C4⋊2Q16⋊8C2 = C42.267D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:8C2128,1941
C4⋊2Q16⋊9C2 = C42.270D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:9C2128,1944
C4⋊2Q16⋊10C2 = C42.296D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:10C2128,1980
C4⋊2Q16⋊11C2 = C42.297D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:11C2128,1981
C4⋊2Q16⋊12C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:12C2128,2016
C4⋊2Q16⋊13C2 = D4×Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:13C2128,2018
C4⋊2Q16⋊14C2 = D4⋊5Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:14C2128,2031
C4⋊2Q16⋊15C2 = C42.467C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:15C2128,2034
C4⋊2Q16⋊16C2 = C42.505C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:16C2128,2096
C4⋊2Q16⋊17C2 = C42.528C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:17C2128,2126
C4⋊2Q16⋊18C2 = C42.212D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:18C2128,1769
C4⋊2Q16⋊19C2 = C42.445D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:19C2128,1771
C4⋊2Q16⋊20C2 = C42.17C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:20C2128,1776
C4⋊2Q16⋊21C2 = C42.19C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:21C2128,1778
C4⋊2Q16⋊22C2 = C42.231D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:22C2128,1845
C4⋊2Q16⋊23C2 = C42.234D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:23C2128,1848
C4⋊2Q16⋊24C2 = C42.354C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:24C2128,1852
C4⋊2Q16⋊25C2 = C42.361C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:25C2128,1859
C4⋊2Q16⋊26C2 = C42.274D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:26C2128,1948
C4⋊2Q16⋊27C2 = C42.276D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:27C2128,1950
C4⋊2Q16⋊28C2 = C42.409C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:28C2128,1955
C4⋊2Q16⋊29C2 = C42.411C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:29C2128,1957
C4⋊2Q16⋊30C2 = C42.300D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:30C2128,1984
C4⋊2Q16⋊31C2 = C42.303D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:31C2128,1987
C4⋊2Q16⋊32C2 = C42.25C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:32C2128,1990
C4⋊2Q16⋊33C2 = C42.28C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:33C2128,1993
C4⋊2Q16⋊34C2 = SD16⋊8D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:34C2128,2001
C4⋊2Q16⋊35C2 = Q16⋊9D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:35C2128,2002
C4⋊2Q16⋊36C2 = SD16⋊3D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:36C2128,2008
C4⋊2Q16⋊37C2 = Q16⋊5D4φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:37C2128,2010
C4⋊2Q16⋊38C2 = C42.47C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:38C2128,2044
C4⋊2Q16⋊39C2 = C42.50C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:39C2128,2047
C4⋊2Q16⋊40C2 = C42.477C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:40C2128,2060
C4⋊2Q16⋊41C2 = C42.480C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:41C2128,2063
C4⋊2Q16⋊42C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:42C2128,2101
C4⋊2Q16⋊43C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:43C2128,2109
C4⋊2Q16⋊44C2 = C42.73C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:44C2128,2130
C4⋊2Q16⋊45C2 = C42.75C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:45C2128,2132
C4⋊2Q16⋊46C2 = C42.532C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q1664C4:2Q16:46C2128,2134
C4⋊2Q16⋊47C2 = C42.443D4φ: trivial image64C4:2Q16:47C2128,1767
C4⋊2Q16⋊48C2 = C42.224D4φ: trivial image64C4:2Q16:48C2128,1836
C4⋊2Q16⋊49C2 = C42.451D4φ: trivial image64C4:2Q16:49C2128,1839

Non-split extensions G=N.Q with N=C4⋊2Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊2Q16.1C2 = Q8⋊3Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.1C2128,377
C4⋊2Q16.2C2 = Q8⋊4Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.2C2128,380
C4⋊2Q16.3C2 = Q8.SD16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.3C2128,385
C4⋊2Q16.4C2 = C8⋊8Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.4C2128,404
C4⋊2Q16.5C2 = C8⋊7Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.5C2128,406
C4⋊2Q16.6C2 = Q8.3SD16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.6C2128,412
C4⋊2Q16.7C2 = C8⋊Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.7C2128,424
C4⋊2Q16.8C2 = C8⋊2Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.8C2128,426
C4⋊2Q16.9C2 = C42.251C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.9C2128,432
C4⋊2Q16.10C2 = Q8⋊5Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.10C2128,2095
C4⋊2Q16.11C2 = Q8⋊6Q16φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.11C2128,2127
C4⋊2Q16.12C2 = C42.515C23φ: C2/C1 → C2 ⊆ Out C4⋊2Q16128C4:2Q16.12C2128,2106

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