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

Extensions 1→N→G→Q→1 with N=Dic5 and Q=C4⋊C4

Direct product G=N×Q with N=Dic5 and Q=C4⋊C4
dρLabelID
C4⋊C4×Dic5320C4:C4xDic5320,602

Semidirect products G=N:Q with N=Dic5 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
Dic5⋊(C4⋊C4) = C20⋊(C4⋊C4)φ: C4⋊C4/C22 → C22 ⊆ Out Dic580Dic5:(C4:C4)320,1050
Dic5⋊2(C4⋊C4) = C10.49(C4×D4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5320Dic5:2(C4:C4)320,274
Dic5⋊3(C4⋊C4) = C10.96(C4×D4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5320Dic5:3(C4:C4)320,599
Dic5⋊4(C4⋊C4) = C20⋊5(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5320Dic5:4(C4:C4)320,603
Dic5⋊5(C4⋊C4) = C4×C4⋊F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic580Dic5:5(C4:C4)320,1025
Dic5⋊6(C4⋊C4) = C42⋊8F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic580Dic5:6(C4:C4)320,1026
Dic5⋊7(C4⋊C4) = Dic5⋊2C42φ: trivial image320Dic5:7(C4:C4)320,276

Non-split extensions G=N.Q with N=Dic5 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
Dic5.1(C4⋊C4) = C42⋊3F5φ: C4⋊C4/C22 → C22 ⊆ Out Dic5804Dic5.1(C4:C4)320,201
Dic5.2(C4⋊C4) = C22⋊C4.F5φ: C4⋊C4/C22 → C22 ⊆ Out Dic5808-Dic5.2(C4:C4)320,205
Dic5.3(C4⋊C4) = D10.18D8φ: C4⋊C4/C22 → C22 ⊆ Out Dic580Dic5.3(C4:C4)320,212
Dic5.4(C4⋊C4) = (C2×C8)⋊F5φ: C4⋊C4/C22 → C22 ⊆ Out Dic5804Dic5.4(C4:C4)320,232
Dic5.5(C4⋊C4) = C20.24C42φ: C4⋊C4/C22 → C22 ⊆ Out Dic5804Dic5.5(C4:C4)320,233
Dic5.6(C4⋊C4) = M4(2)⋊3F5φ: C4⋊C4/C22 → C22 ⊆ Out Dic5408Dic5.6(C4:C4)320,238
Dic5.7(C4⋊C4) = M4(2)⋊4F5φ: C4⋊C4/C22 → C22 ⊆ Out Dic5808Dic5.7(C4:C4)320,240
Dic5.8(C4⋊C4) = C22.F5⋊C4φ: C4⋊C4/C22 → C22 ⊆ Out Dic5160Dic5.8(C4:C4)320,257
Dic5.9(C4⋊C4) = C20⋊C8⋊C2φ: C4⋊C4/C22 → C22 ⊆ Out Dic5160Dic5.9(C4:C4)320,1034
Dic5.10(C4⋊C4) = M4(2)⋊1F5φ: C4⋊C4/C22 → C22 ⊆ Out Dic5408Dic5.10(C4:C4)320,1065
Dic5.11(C4⋊C4) = M4(2).1F5φ: C4⋊C4/C22 → C22 ⊆ Out Dic5808Dic5.11(C4:C4)320,1067
Dic5.12(C4⋊C4) = C5⋊2(C42⋊8C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5320Dic5.12(C4:C4)320,277
Dic5.13(C4⋊C4) = C20⋊5M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.13(C4:C4)320,464
Dic5.14(C4⋊C4) = C42.30D10φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.14(C4:C4)320,466
Dic5.15(C4⋊C4) = D5×C4.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.15(C4:C4)320,486
Dic5.16(C4⋊C4) = C8⋊(C4×D5)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.16(C4:C4)320,488
Dic5.17(C4⋊C4) = D5×C2.D8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.17(C4:C4)320,506
Dic5.18(C4⋊C4) = C40⋊20(C2×C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.18(C4:C4)320,508
Dic5.19(C4⋊C4) = D5×C8.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5804Dic5.19(C4:C4)320,519
Dic5.20(C4⋊C4) = M4(2).25D10φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5804Dic5.20(C4:C4)320,520
Dic5.21(C4⋊C4) = C42⋊6F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5404Dic5.21(C4:C4)320,200
Dic5.22(C4⋊C4) = C20.C42φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic580Dic5.22(C4:C4)320,213
Dic5.23(C4⋊C4) = D10.3M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic580Dic5.23(C4:C4)320,230
Dic5.24(C4⋊C4) = D10.10D8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic580Dic5.24(C4:C4)320,231
Dic5.25(C4⋊C4) = M4(2)⋊F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5408Dic5.25(C4:C4)320,237
Dic5.26(C4⋊C4) = C10.(C4⋊C8)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5320Dic5.26(C4:C4)320,256
Dic5.27(C4⋊C4) = C42⋊9F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic580Dic5.27(C4:C4)320,1027
Dic5.28(C4⋊C4) = C2×C40⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic580Dic5.28(C4:C4)320,1057
Dic5.29(C4⋊C4) = C2×D5.D8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic580Dic5.29(C4:C4)320,1058
Dic5.30(C4⋊C4) = (C2×C8)⋊6F5φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5804Dic5.30(C4:C4)320,1059
Dic5.31(C4⋊C4) = C2×C40.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.31(C4:C4)320,1060
Dic5.32(C4⋊C4) = C2×D10.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.32(C4:C4)320,1061
Dic5.33(C4⋊C4) = (C8×D5).C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5804Dic5.33(C4:C4)320,1062
Dic5.34(C4⋊C4) = C2×C20⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5320Dic5.34(C4:C4)320,1085
Dic5.35(C4⋊C4) = C2×Dic5⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5320Dic5.35(C4:C4)320,1090
Dic5.36(C4⋊C4) = C20⋊8M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic5160Dic5.36(C4:C4)320,1096
Dic5.37(C4⋊C4) = D5×C4⋊C8φ: trivial image160Dic5.37(C4:C4)320,459
Dic5.38(C4⋊C4) = (C8×D5)⋊C4φ: trivial image160Dic5.38(C4:C4)320,487
Dic5.39(C4⋊C4) = C8.27(C4×D5)φ: trivial image160Dic5.39(C4:C4)320,507

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁