Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C42.78C22 and Q=C2

Direct product G=N×Q with N=C42.78C22 and Q=C2
dρLabelID
C2×C42.78C2264C2xC4^2.78C2^2128,1862

Semidirect products G=N:Q with N=C42.78C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.78C22⋊1C2 = C42.406C23φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:1C2128,1952
C42.78C22⋊2C2 = C42.409C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:2C2128,1955
C42.78C22⋊3C2 = C42.425C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:3C2128,1975
C42.78C22⋊4C2 = C42.462C23φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:4C2128,2029
C42.78C22⋊5C2 = C42.465C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:5C2128,2032
C42.78C22⋊6C2 = C42.502C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:6C2128,2093
C42.78C22⋊7C2 = C42.269D4φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:7C2128,1943
C42.78C22⋊8C2 = C42.270D4φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:8C2128,1944
C42.78C22⋊9C2 = C42.284D4φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:9C2128,1964
C42.78C22⋊10C2 = C42.285D4φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:10C2128,1965
C42.78C22⋊11C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:11C2128,2054
C42.78C22⋊12C2 = C42.476C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:12C2128,2059
C42.78C22⋊13C2 = C42.511C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:13C2128,2102
C42.78C22⋊14C2 = C42.407C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:14C2128,1953
C42.78C22⋊15C2 = C42.408C23φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:15C2128,1954
C42.78C22⋊16C2 = C42.426C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:16C2128,1976
C42.78C22⋊17C2 = C42.461C23φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:17C2128,2028
C42.78C22⋊18C2 = C42.466C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:18C2128,2033
C42.78C22⋊19C2 = C42.501C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:19C2128,2092
C42.78C22⋊20C2 = C42.506C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:20C2128,2097
C42.78C22⋊21C2 = C42.472C23φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:21C2128,2055
C42.78C22⋊22C2 = C42.475C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:22C2128,2058
C42.78C22⋊23C2 = C42.512C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:23C2128,2103
C42.78C22⋊24C2 = C42.517C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:24C2128,2108
C42.78C22⋊25C2 = C42.366C23φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:25C2128,1868
C42.78C22⋊26C2 = C42.367C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:26C2128,1869
C42.78C22⋊27C2 = C42.242D4φ: C2/C1 → C2 ⊆ Out C42.78C2232C4^2.78C2^2:27C2128,1872
C42.78C22⋊28C2 = C42.244D4φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:28C2128,1874
C42.78C22⋊29C2 = C42.390C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:29C2128,1910
C42.78C22⋊30C2 = C42.391C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:30C2128,1911
C42.78C22⋊31C2 = C42.260D4φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2:31C2128,1915
C42.78C22⋊32C2 = C42.355D4φ: trivial image64C4^2.78C2^2:32C2128,1863
C42.78C22⋊33C2 = C42.308D4φ: trivial image64C4^2.78C2^2:33C2128,1900

Non-split extensions G=N.Q with N=C42.78C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.78C22.1C2 = (C4×C8)⋊C4φ: C2/C1 → C2 ⊆ Out C42.78C22324C4^2.78C2^2.1C2128,146
C42.78C22.2C2 = C42.505C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2.2C2128,2096
C42.78C22.3C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out C42.78C2264C4^2.78C2^2.3C2128,2109

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁