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

Extensions 1→N→G→Q→1 with N=Dic5 and Q=C4×S3

Direct product G=N×Q with N=Dic5 and Q=C4×S3
dρLabelID
C4×S3×Dic5240C4xS3xDic5480,473

Semidirect products G=N:Q with N=Dic5 and Q=C4×S3
extensionφ:Q→Out NdρLabelID
Dic5⋊1(C4×S3) = F5×D12φ: C4×S3/C6 → C22 ⊆ Out Dic5608+Dic5:1(C4xS3)480,995
Dic5⋊2(C4×S3) = D60⋊3C4φ: C4×S3/C6 → C22 ⊆ Out Dic5608+Dic5:2(C4xS3)480,997
Dic5⋊3(C4×S3) = Dic15⋊14D4φ: C4×S3/Dic3 → C2 ⊆ Out Dic5240Dic5:3(C4xS3)480,482
Dic5⋊4(C4×S3) = C15⋊22(C4×D4)φ: C4×S3/Dic3 → C2 ⊆ Out Dic5240Dic5:4(C4xS3)480,522
Dic5⋊5(C4×S3) = Dic5⋊4D12φ: C4×S3/C12 → C2 ⊆ Out Dic5240Dic5:5(C4xS3)480,481
Dic5⋊6(C4×S3) = C4×C5⋊D12φ: C4×S3/C12 → C2 ⊆ Out Dic5240Dic5:6(C4xS3)480,521
Dic5⋊7(C4×S3) = S3×C10.D4φ: C4×S3/D6 → C2 ⊆ Out Dic5240Dic5:7(C4xS3)480,475
Dic5⋊8(C4×S3) = D30.Q8φ: C4×S3/D6 → C2 ⊆ Out Dic5240Dic5:8(C4xS3)480,480
Dic5⋊9(C4×S3) = C4×S3×F5φ: C4×S3/D6 → C2 ⊆ Out Dic5608Dic5:9(C4xS3)480,994
Dic5⋊10(C4×S3) = S3×C4⋊F5φ: C4×S3/D6 → C2 ⊆ Out Dic5608Dic5:10(C4xS3)480,996
Dic5⋊11(C4×S3) = C4×D30.C2φ: trivial image240Dic5:11(C4xS3)480,477

Non-split extensions G=N.Q with N=Dic5 and Q=C4×S3
extensionφ:Q→Out NdρLabelID
Dic5.1(C4×S3) = F5×Dic6φ: C4×S3/C6 → C22 ⊆ Out Dic51208-Dic5.1(C4xS3)480,982
Dic5.2(C4×S3) = Dic6⋊5F5φ: C4×S3/C6 → C22 ⊆ Out Dic51208-Dic5.2(C4xS3)480,984
Dic5.3(C4×S3) = C5⋊C8.D6φ: C4×S3/C6 → C22 ⊆ Out Dic52408Dic5.3(C4xS3)480,1003
Dic5.4(C4×S3) = D15⋊C8⋊C2φ: C4×S3/C6 → C22 ⊆ Out Dic52408Dic5.4(C4xS3)480,1005
Dic5.5(C4×S3) = C40.55D6φ: C4×S3/Dic3 → C2 ⊆ Out Dic52404Dic5.5(C4xS3)480,343
Dic5.6(C4×S3) = C40.35D6φ: C4×S3/Dic3 → C2 ⊆ Out Dic52404Dic5.6(C4xS3)480,344
Dic5.7(C4×S3) = Dic3⋊5Dic10φ: C4×S3/Dic3 → C2 ⊆ Out Dic5480Dic5.7(C4xS3)480,400
Dic5.8(C4×S3) = Dic15⋊5Q8φ: C4×S3/Dic3 → C2 ⊆ Out Dic5480Dic5.8(C4xS3)480,401
Dic5.9(C4×S3) = F5×C3⋊C8φ: C4×S3/Dic3 → C2 ⊆ Out Dic51208Dic5.9(C4xS3)480,223
Dic5.10(C4×S3) = C30.3C42φ: C4×S3/Dic3 → C2 ⊆ Out Dic51208Dic5.10(C4xS3)480,225
Dic5.11(C4×S3) = Dic3×C5⋊C8φ: C4×S3/Dic3 → C2 ⊆ Out Dic5480Dic5.11(C4xS3)480,244
Dic5.12(C4×S3) = C30.M4(2)φ: C4×S3/Dic3 → C2 ⊆ Out Dic5480Dic5.12(C4xS3)480,245
Dic5.13(C4×S3) = C40.54D6φ: C4×S3/C12 → C2 ⊆ Out Dic52404Dic5.13(C4xS3)480,341
Dic5.14(C4×S3) = C40.34D6φ: C4×S3/C12 → C2 ⊆ Out Dic52404Dic5.14(C4xS3)480,342
Dic5.15(C4×S3) = Dic5⋊5Dic6φ: C4×S3/C12 → C2 ⊆ Out Dic5480Dic5.15(C4xS3)480,399
Dic5.16(C4×S3) = C4×C15⋊Q8φ: C4×S3/C12 → C2 ⊆ Out Dic5480Dic5.16(C4xS3)480,543
Dic5.17(C4×S3) = C8×C3⋊F5φ: C4×S3/C12 → C2 ⊆ Out Dic51204Dic5.17(C4xS3)480,296
Dic5.18(C4×S3) = C24⋊F5φ: C4×S3/C12 → C2 ⊆ Out Dic51204Dic5.18(C4xS3)480,297
Dic5.19(C4×S3) = C4×C15⋊C8φ: C4×S3/C12 → C2 ⊆ Out Dic5480Dic5.19(C4xS3)480,305
Dic5.20(C4×S3) = C30.11C42φ: C4×S3/C12 → C2 ⊆ Out Dic5480Dic5.20(C4xS3)480,307
Dic5.21(C4×S3) = S3×C8⋊D5φ: C4×S3/D6 → C2 ⊆ Out Dic51204Dic5.21(C4xS3)480,321
Dic5.22(C4×S3) = C40⋊D6φ: C4×S3/D6 → C2 ⊆ Out Dic51204Dic5.22(C4xS3)480,322
Dic5.23(C4×S3) = (S3×Dic5)⋊C4φ: C4×S3/D6 → C2 ⊆ Out Dic5240Dic5.23(C4xS3)480,476
Dic5.24(C4×S3) = D30.23(C2×C4)φ: C4×S3/D6 → C2 ⊆ Out Dic5240Dic5.24(C4xS3)480,479
Dic5.25(C4×S3) = C4⋊F5⋊3S3φ: C4×S3/D6 → C2 ⊆ Out Dic51208Dic5.25(C4xS3)480,983
Dic5.26(C4×S3) = (C4×S3)⋊F5φ: C4×S3/D6 → C2 ⊆ Out Dic51208Dic5.26(C4xS3)480,985
Dic5.27(C4×S3) = C2×S3×C5⋊C8φ: C4×S3/D6 → C2 ⊆ Out Dic5240Dic5.27(C4xS3)480,1002
Dic5.28(C4×S3) = S3×C22.F5φ: C4×S3/D6 → C2 ⊆ Out Dic51208-Dic5.28(C4xS3)480,1004
Dic5.29(C4×S3) = C2×D15⋊C8φ: C4×S3/D6 → C2 ⊆ Out Dic5240Dic5.29(C4xS3)480,1006
Dic5.30(C4×S3) = D15⋊2M4(2)φ: C4×S3/D6 → C2 ⊆ Out Dic51208+Dic5.30(C4xS3)480,1007
Dic5.31(C4×S3) = C2×D6.F5φ: C4×S3/D6 → C2 ⊆ Out Dic5240Dic5.31(C4xS3)480,1008
Dic5.32(C4×S3) = C2×Dic3.F5φ: C4×S3/D6 → C2 ⊆ Out Dic5240Dic5.32(C4xS3)480,1009
Dic5.33(C4×S3) = S3×C8×D5φ: trivial image1204Dic5.33(C4xS3)480,319
Dic5.34(C4×S3) = D5×C8⋊S3φ: trivial image1204Dic5.34(C4xS3)480,320
Dic5.35(C4×S3) = D6.(C4×D5)φ: trivial image240Dic5.35(C4xS3)480,474
Dic5.36(C4×S3) = D30.C2⋊C4φ: trivial image240Dic5.36(C4xS3)480,478

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁