Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C22 and Q=C4:F5

Direct product G=NxQ with N=C22 and Q=C4:F5
dρLabelID
C22xC4:F580C2^2xC4:F5320,1591

Semidirect products G=N:Q with N=C22 and Q=C4:F5
extensionφ:Q→Aut NdρLabelID
C22:1(C4:F5) = D10:6(C4:C4)φ: C4:F5/C4xD5 → C2 ⊆ Aut C2280C2^2:1(C4:F5)320,1103
C22:2(C4:F5) = D10:(C4:C4)φ: C4:F5/C2xF5 → C2 ⊆ Aut C2240C2^2:2(C4:F5)320,1037

Non-split extensions G=N.Q with N=C22 and Q=C4:F5
extensionφ:Q→Aut NdρLabelID
C22.1(C4:F5) = C20.24C42φ: C4:F5/C4xD5 → C2 ⊆ Aut C22804C2^2.1(C4:F5)320,233
C22.2(C4:F5) = C20.25C42φ: C4:F5/C4xD5 → C2 ⊆ Aut C22804C2^2.2(C4:F5)320,235
C22.3(C4:F5) = C22:F5:C4φ: C4:F5/C4xD5 → C2 ⊆ Aut C2280C2^2.3(C4:F5)320,255
C22.4(C4:F5) = C22.F5:C4φ: C4:F5/C4xD5 → C2 ⊆ Aut C22160C2^2.4(C4:F5)320,257
C22.5(C4:F5) = (C2xC8):6F5φ: C4:F5/C4xD5 → C2 ⊆ Aut C22804C2^2.5(C4:F5)320,1059
C22.6(C4:F5) = (C8xD5).C4φ: C4:F5/C4xD5 → C2 ⊆ Aut C22804C2^2.6(C4:F5)320,1062
C22.7(C4:F5) = C20:8M4(2)φ: C4:F5/C4xD5 → C2 ⊆ Aut C22160C2^2.7(C4:F5)320,1096
C22.8(C4:F5) = (C22xF5):C4φ: C4:F5/C2xF5 → C2 ⊆ Aut C22408+C2^2.8(C4:F5)320,204
C22.9(C4:F5) = C22:C4.F5φ: C4:F5/C2xF5 → C2 ⊆ Aut C22808-C2^2.9(C4:F5)320,205
C22.10(C4:F5) = M4(2):3F5φ: C4:F5/C2xF5 → C2 ⊆ Aut C22408C2^2.10(C4:F5)320,238
C22.11(C4:F5) = M4(2).F5φ: C4:F5/C2xF5 → C2 ⊆ Aut C22808C2^2.11(C4:F5)320,239
C22.12(C4:F5) = C20:C8:C2φ: C4:F5/C2xF5 → C2 ⊆ Aut C22160C2^2.12(C4:F5)320,1034
C22.13(C4:F5) = M4(2):1F5φ: C4:F5/C2xF5 → C2 ⊆ Aut C22408C2^2.13(C4:F5)320,1065
C22.14(C4:F5) = M4(2).1F5φ: C4:F5/C2xF5 → C2 ⊆ Aut C22808C2^2.14(C4:F5)320,1067
C22.15(C4:F5) = C40:2C8central extension (φ=1)320C2^2.15(C4:F5)320,219
C22.16(C4:F5) = C40:1C8central extension (φ=1)320C2^2.16(C4:F5)320,220
C22.17(C4:F5) = C20.26M4(2)central extension (φ=1)320C2^2.17(C4:F5)320,221
C22.18(C4:F5) = Dic5.13D8central extension (φ=1)320C2^2.18(C4:F5)320,222
C22.19(C4:F5) = D10.10D8central extension (φ=1)80C2^2.19(C4:F5)320,231
C22.20(C4:F5) = C20.10C42central extension (φ=1)160C2^2.20(C4:F5)320,234
C22.21(C4:F5) = C10.(C4:C8)central extension (φ=1)320C2^2.21(C4:F5)320,256
C22.22(C4:F5) = C2xC40:C4central extension (φ=1)80C2^2.22(C4:F5)320,1057
C22.23(C4:F5) = C2xD5.D8central extension (φ=1)80C2^2.23(C4:F5)320,1058
C22.24(C4:F5) = C2xC40.C4central extension (φ=1)160C2^2.24(C4:F5)320,1060
C22.25(C4:F5) = C2xD10.Q8central extension (φ=1)160C2^2.25(C4:F5)320,1061
C22.26(C4:F5) = C2xC20:C8central extension (φ=1)320C2^2.26(C4:F5)320,1085
C22.27(C4:F5) = C2xDic5:C8central extension (φ=1)320C2^2.27(C4:F5)320,1090
C22.28(C4:F5) = C2xD10.3Q8central extension (φ=1)80C2^2.28(C4:F5)320,1100

׿
x
:
Z
F
o
wr
Q
<