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

Direct product G=N×Q with N=C4.Q16 and Q=C2
dρLabelID
C2×C4.Q16128C2xC4.Q16128,1806

Semidirect products G=N:Q with N=C4.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Q16⋊1C2 = C42.191C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:1C2128,362
C4.Q16⋊2C2 = Q8⋊2SD16φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:2C2128,363
C4.Q16⋊3C2 = D4⋊Q16φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:3C2128,364
C4.Q16⋊4C2 = D4.3Q16φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:4C2128,369
C4.Q16⋊5C2 = C42.199C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:5C2128,370
C4.Q16⋊6C2 = Q8.2SD16φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:6C2128,410
C4.Q16⋊7C2 = C42.249C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:7C2128,430
C4.Q16⋊8C2 = C42.282D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:8C2128,1962
C4.Q16⋊9C2 = C42.285D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:9C2128,1965
C4.Q16⋊10C2 = C42.295D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:10C2128,1979
C4.Q16⋊11C2 = C42.297D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:11C2128,1981
C4.Q16⋊12C2 = D4⋊5Q16φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:12C2128,2031
C4.Q16⋊13C2 = C42.470C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:13C2128,2037
C4.Q16⋊14C2 = D4⋊6Q16φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:14C2128,2070
C4.Q16⋊15C2 = C42.489C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:15C2128,2072
C4.Q16⋊16C2 = C42.502C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:16C2128,2093
C4.Q16⋊17C2 = SD16⋊4Q8φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:17C2128,2113
C4.Q16⋊18C2 = C42.220D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:18C2128,1810
C4.Q16⋊19C2 = C42.448D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:19C2128,1811
C4.Q16⋊20C2 = C42.21C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:20C2128,1814
C4.Q16⋊21C2 = C42.22C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:21C2128,1815
C4.Q16⋊22C2 = C42.230D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:22C2128,1844
C4.Q16⋊23C2 = C42.234D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:23C2128,1848
C4.Q16⋊24C2 = C42.355C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:24C2128,1853
C4.Q16⋊25C2 = C42.358C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:25C2128,1856
C4.Q16⋊26C2 = C42.289D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:26C2128,1969
C4.Q16⋊27C2 = C42.290D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:27C2128,1970
C4.Q16⋊28C2 = C42.424C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:28C2128,1974
C4.Q16⋊29C2 = C42.425C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:29C2128,1975
C4.Q16⋊30C2 = C42.300D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:30C2128,1984
C4.Q16⋊31C2 = C42.302D4φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:31C2128,1986
C4.Q16⋊32C2 = C42.25C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:32C2128,1990
C4.Q16⋊33C2 = C42.29C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:33C2128,1994
C4.Q16⋊34C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:34C2128,2040
C4.Q16⋊35C2 = C42.48C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:35C2128,2045
C4.Q16⋊36C2 = C42.478C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:36C2128,2061
C4.Q16⋊37C2 = C42.482C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:37C2128,2065
C4.Q16⋊38C2 = C42.57C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:38C2128,2075
C4.Q16⋊39C2 = C42.63C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:39C2128,2081
C4.Q16⋊40C2 = C42.497C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:40C2128,2088
C4.Q16⋊41C2 = C42.498C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:41C2128,2089
C4.Q16⋊42C2 = C42.508C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:42C2128,2099
C4.Q16⋊43C2 = C42.513C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:43C2128,2104
C4.Q16⋊44C2 = C42.516C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:44C2128,2107
C4.Q16⋊45C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:45C2128,2109
C4.Q16⋊46C2 = SD16⋊Q8φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:46C2128,2117
C4.Q16⋊47C2 = SD16⋊2Q8φ: C2/C1 → C2 ⊆ Out C4.Q1664C4.Q16:47C2128,2118
C4.Q16⋊48C2 = C42.447D4φ: trivial image64C4.Q16:48C2128,1808
C4.Q16⋊49C2 = C42.224D4φ: trivial image64C4.Q16:49C2128,1836
C4.Q16⋊50C2 = C42.450D4φ: trivial image64C4.Q16:50C2128,1838

Non-split extensions G=N.Q with N=C4.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Q16.1C2 = Q8⋊Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.1C2128,365
C4.Q16.2C2 = Q8.Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.2C2128,368
C4.Q16.3C2 = C8⋊8Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.3C2128,404
C4.Q16.4C2 = Q8.1Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.4C2128,408
C4.Q16.5C2 = Q8.2Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.5C2128,416
C4.Q16.6C2 = C8⋊Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.6C2128,424
C4.Q16.7C2 = C8.3Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.7C2128,428
C4.Q16.8C2 = C42.255C23φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.8C2128,436
C4.Q16.9C2 = Q8⋊5Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.9C2128,2095
C4.Q16.10C2 = Q8×Q16φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.10C2128,2114
C4.Q16.11C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.11C2128,2119
C4.Q16.12C2 = Q16⋊5Q8φ: C2/C1 → C2 ⊆ Out C4.Q16128C4.Q16.12C2128,2122

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