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

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

Direct product G=N×Q with N=C4 and Q=C22⋊F5
dρLabelID
C4×C22⋊F580C4xC2^2:F5320,1101

Semidirect products G=N:Q with N=C4 and Q=C22⋊F5
extensionφ:Q→Aut NdρLabelID
C4⋊1(C22⋊F5) = C2.(D4×F5)φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C480C4:1(C2^2:F5)320,1118
C4⋊2(C22⋊F5) = D10⋊6(C4⋊C4)φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C480C4:2(C2^2:F5)320,1103

Non-split extensions G=N.Q with N=C4 and Q=C22⋊F5
extensionφ:Q→Aut NdρLabelID
C4.1(C22⋊F5) = D10.D8φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808-C4.1(C2^2:F5)320,241
C4.2(C22⋊F5) = D5.D16φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808+C4.2(C2^2:F5)320,242
C4.3(C22⋊F5) = D8.F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C41608-C4.3(C2^2:F5)320,243
C4.4(C22⋊F5) = D40.C4φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808+C4.4(C2^2:F5)320,244
C4.5(C22⋊F5) = D40⋊1C4φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808+C4.5(C2^2:F5)320,245
C4.6(C22⋊F5) = D5.Q32φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808-C4.6(C2^2:F5)320,246
C4.7(C22⋊F5) = Q16.F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C41608+C4.7(C2^2:F5)320,247
C4.8(C22⋊F5) = Dic20.C4φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C41608-C4.8(C2^2:F5)320,248
C4.9(C22⋊F5) = C2×D20⋊C4φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C480C4.9(C2^2:F5)320,1104
C4.10(C22⋊F5) = (D4×C10)⋊C4φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4408+C4.10(C2^2:F5)320,1105
C4.11(C22⋊F5) = C2×D4⋊F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C480C4.11(C2^2:F5)320,1106
C4.12(C22⋊F5) = (C2×D4)⋊6F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808-C4.12(C2^2:F5)320,1107
C4.13(C22⋊F5) = (C2×D4)⋊8F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808-C4.13(C2^2:F5)320,1109
C4.14(C22⋊F5) = (C2×D4).8F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4160C4.14(C2^2:F5)320,1114
C4.15(C22⋊F5) = D5⋊(C4.D4)φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4408+C4.15(C2^2:F5)320,1116
C4.16(C22⋊F5) = C2×Q8⋊F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C480C4.16(C2^2:F5)320,1119
C4.17(C22⋊F5) = (C2×Q8)⋊4F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808-C4.17(C2^2:F5)320,1120
C4.18(C22⋊F5) = C2×Q8⋊2F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C480C4.18(C2^2:F5)320,1121
C4.19(C22⋊F5) = (C2×Q8)⋊6F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808+C4.19(C2^2:F5)320,1122
C4.20(C22⋊F5) = (C2×Q8)⋊7F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808+C4.20(C2^2:F5)320,1123
C4.21(C22⋊F5) = (C2×Q8).5F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4160C4.21(C2^2:F5)320,1125
C4.22(C22⋊F5) = (C2×Q8).7F5φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C4808-C4.22(C2^2:F5)320,1127
C4.23(C22⋊F5) = (C2×F5)⋊Q8φ: C22⋊F5/C2×F5 → C2 ⊆ Aut C480C4.23(C2^2:F5)320,1128
C4.24(C22⋊F5) = D10.10D8φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C480C4.24(C2^2:F5)320,231
C4.25(C22⋊F5) = C20.24C42φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4804C4.25(C2^2:F5)320,233
C4.26(C22⋊F5) = C20.10C42φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4160C4.26(C2^2:F5)320,234
C4.27(C22⋊F5) = C20.25C42φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4804C4.27(C2^2:F5)320,235
C4.28(C22⋊F5) = M4(2)⋊F5φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4408C4.28(C2^2:F5)320,237
C4.29(C22⋊F5) = M4(2)⋊4F5φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4808C4.29(C2^2:F5)320,240
C4.30(C22⋊F5) = C23⋊F5⋊5C2φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4804C4.30(C2^2:F5)320,1083
C4.31(C22⋊F5) = D10⋊10M4(2)φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C480C4.31(C2^2:F5)320,1094
C4.32(C22⋊F5) = (C4×D5).D4φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4804C4.32(C2^2:F5)320,1099
C4.33(C22⋊F5) = C4○D4⋊F5φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4408C4.33(C2^2:F5)320,1131
C4.34(C22⋊F5) = D4⋊F5⋊C2φ: C22⋊F5/C22×D5 → C2 ⊆ Aut C4808C4.34(C2^2:F5)320,1133
C4.35(C22⋊F5) = D10⋊C16central extension (φ=1)160C4.35(C2^2:F5)320,225
C4.36(C22⋊F5) = C20.10M4(2)central extension (φ=1)804C4.36(C2^2:F5)320,229
C4.37(C22⋊F5) = D10.3M4(2)central extension (φ=1)80C4.37(C2^2:F5)320,230
C4.38(C22⋊F5) = (C2×C8)⋊F5central extension (φ=1)804C4.38(C2^2:F5)320,232
C4.39(C22⋊F5) = D20.C8central extension (φ=1)1608C4.39(C2^2:F5)320,236
C4.40(C22⋊F5) = M4(2)⋊3F5central extension (φ=1)408C4.40(C2^2:F5)320,238
C4.41(C22⋊F5) = M4(2).F5central extension (φ=1)808C4.41(C2^2:F5)320,239
C4.42(C22⋊F5) = C10.6M5(2)central extension (φ=1)160C4.42(C2^2:F5)320,249
C4.43(C22⋊F5) = C20.29M4(2)central extension (φ=1)804C4.43(C2^2:F5)320,250
C4.44(C22⋊F5) = D4.(C5⋊C8)central extension (φ=1)1608C4.44(C2^2:F5)320,270
C4.45(C22⋊F5) = D10.11M4(2)central extension (φ=1)80C4.45(C2^2:F5)320,1091
C4.46(C22⋊F5) = D5⋊C4≀C2central extension (φ=1)408C4.46(C2^2:F5)320,1130
C4.47(C22⋊F5) = C4○D20⋊C4central extension (φ=1)808C4.47(C2^2:F5)320,1132

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁