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

Extensions 1→N→G→Q→1 with N=D10 and Q=C3⋊D4

Direct product G=N×Q with N=D10 and Q=C3⋊D4
dρLabelID
C2×D5×C3⋊D4120C2xD5xC3:D4480,1122

Semidirect products G=N:Q with N=D10 and Q=C3⋊D4
extensionφ:Q→Out NdρLabelID
D10⋊1(C3⋊D4) = Dic15⋊D4φ: C3⋊D4/Dic3 → C2 ⊆ Out D10240D10:1(C3:D4)480,484
D10⋊2(C3⋊D4) = Dic3⋊D20φ: C3⋊D4/Dic3 → C2 ⊆ Out D10240D10:2(C3:D4)480,485
D10⋊3(C3⋊D4) = (C6×D5)⋊D4φ: C3⋊D4/Dic3 → C2 ⊆ Out D10240D10:3(C3:D4)480,625
D10⋊4(C3⋊D4) = Dic15⋊3D4φ: C3⋊D4/Dic3 → C2 ⊆ Out D10240D10:4(C3:D4)480,626
D10⋊5(C3⋊D4) = D6⋊4D20φ: C3⋊D4/D6 → C2 ⊆ Out D10120D10:5(C3:D4)480,550
D10⋊6(C3⋊D4) = D30⋊8D4φ: C3⋊D4/D6 → C2 ⊆ Out D10120D10:6(C3:D4)480,653
D10⋊7(C3⋊D4) = (C2×C30)⋊D4φ: C3⋊D4/C2×C6 → C2 ⊆ Out D10120D10:7(C3:D4)480,639
D10⋊8(C3⋊D4) = (C2×C6)⋊8D20φ: C3⋊D4/C2×C6 → C2 ⊆ Out D10120D10:8(C3:D4)480,640

Non-split extensions G=N.Q with N=D10 and Q=C3⋊D4
extensionφ:Q→Out NdρLabelID
D10.1(C3⋊D4) = D12⋊2F5φ: C3⋊D4/C6 → C22 ⊆ Out D101208-D10.1(C3:D4)480,232
D10.2(C3⋊D4) = D60⋊5C4φ: C3⋊D4/C6 → C22 ⊆ Out D101208+D10.2(C3:D4)480,234
D10.3(C3⋊D4) = D10.D12φ: C3⋊D4/C6 → C22 ⊆ Out D101208-D10.3(C3:D4)480,248
D10.4(C3⋊D4) = D10.4D12φ: C3⋊D4/C6 → C22 ⊆ Out D101208+D10.4(C3:D4)480,249
D10.5(C3⋊D4) = (C2×C60)⋊C4φ: C3⋊D4/C6 → C22 ⊆ Out D101204D10.5(C3:D4)480,304
D10.6(C3⋊D4) = Dic10⋊Dic3φ: C3⋊D4/C6 → C22 ⊆ Out D101208D10.6(C3:D4)480,313
D10.7(C3⋊D4) = D20⋊2Dic3φ: C3⋊D4/C6 → C22 ⊆ Out D101208D10.7(C3:D4)480,315
D10.8(C3⋊D4) = C3⋊(C23⋊F5)φ: C3⋊D4/C6 → C22 ⊆ Out D101204D10.8(C3:D4)480,316
D10.9(C3⋊D4) = D12.24D10φ: C3⋊D4/Dic3 → C2 ⊆ Out D102408-D10.9(C3:D4)480,566
D10.10(C3⋊D4) = C60.16C23φ: C3⋊D4/Dic3 → C2 ⊆ Out D102408+D10.10(C3:D4)480,568
D10.11(C3⋊D4) = D20.14D6φ: C3⋊D4/Dic3 → C2 ⊆ Out D102408-D10.11(C3:D4)480,590
D10.12(C3⋊D4) = D20.D6φ: C3⋊D4/Dic3 → C2 ⊆ Out D102408+D10.12(C3:D4)480,592
D10.13(C3⋊D4) = Dic5.Dic6φ: C3⋊D4/Dic3 → C2 ⊆ Out D101208D10.13(C3:D4)480,235
D10.14(C3⋊D4) = Dic5.4Dic6φ: C3⋊D4/Dic3 → C2 ⊆ Out D101208D10.14(C3:D4)480,236
D10.15(C3⋊D4) = C2×Dic3⋊F5φ: C3⋊D4/Dic3 → C2 ⊆ Out D10120D10.15(C3:D4)480,1001
D10.16(C3⋊D4) = (C6×D5).D4φ: C3⋊D4/D6 → C2 ⊆ Out D10240D10.16(C3:D4)480,483
D10.17(C3⋊D4) = Dic10⋊3D6φ: C3⋊D4/D6 → C2 ⊆ Out D101208+D10.17(C3:D4)480,554
D10.18(C3⋊D4) = C60.8C23φ: C3⋊D4/D6 → C2 ⊆ Out D102408-D10.18(C3:D4)480,560
D10.19(C3⋊D4) = D20⋊D6φ: C3⋊D4/D6 → C2 ⊆ Out D101208+D10.19(C3:D4)480,578
D10.20(C3⋊D4) = D20.13D6φ: C3⋊D4/D6 → C2 ⊆ Out D102408-D10.20(C3:D4)480,584
D10.21(C3⋊D4) = C23.17(S3×D5)φ: C3⋊D4/D6 → C2 ⊆ Out D10240D10.21(C3:D4)480,624
D10.22(C3⋊D4) = D60⋊C4φ: C3⋊D4/D6 → C2 ⊆ Out D101208+D10.22(C3:D4)480,227
D10.23(C3⋊D4) = Dic6⋊F5φ: C3⋊D4/D6 → C2 ⊆ Out D101208-D10.23(C3:D4)480,229
D10.24(C3⋊D4) = D10.20D12φ: C3⋊D4/D6 → C2 ⊆ Out D10120D10.24(C3:D4)480,243
D10.25(C3⋊D4) = C2×D6⋊F5φ: C3⋊D4/D6 → C2 ⊆ Out D10120D10.25(C3:D4)480,1000
D10.26(C3⋊D4) = Dic3⋊C4⋊D5φ: C3⋊D4/C2×C6 → C2 ⊆ Out D10240D10.26(C3:D4)480,424
D10.27(C3⋊D4) = D6⋊C4⋊D5φ: C3⋊D4/C2×C6 → C2 ⊆ Out D10240D10.27(C3:D4)480,523
D10.28(C3⋊D4) = D12⋊10D10φ: C3⋊D4/C2×C6 → C2 ⊆ Out D101208-D10.28(C3:D4)480,565
D10.29(C3⋊D4) = D20.9D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out D101208+D10.29(C3:D4)480,567
D10.30(C3⋊D4) = D12.27D10φ: C3⋊D4/C2×C6 → C2 ⊆ Out D102408-D10.30(C3:D4)480,589
D10.31(C3⋊D4) = C60.39C23φ: C3⋊D4/C2×C6 → C2 ⊆ Out D102408+D10.31(C3:D4)480,591
D10.32(C3⋊D4) = D10.10D12φ: C3⋊D4/C2×C6 → C2 ⊆ Out D10120D10.32(C3:D4)480,311
D10.33(C3⋊D4) = D20⋊Dic3φ: C3⋊D4/C2×C6 → C2 ⊆ Out D101208D10.33(C3:D4)480,312
D10.34(C3⋊D4) = Dic10⋊2Dic3φ: C3⋊D4/C2×C6 → C2 ⊆ Out D101208D10.34(C3:D4)480,314
D10.35(C3⋊D4) = C2×D10.D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out D10120D10.35(C3:D4)480,1072
D10.36(C3⋊D4) = D5×Dic3⋊C4φ: trivial image240D10.36(C3:D4)480,468
D10.37(C3⋊D4) = D5×D6⋊C4φ: trivial image120D10.37(C3:D4)480,547
D10.38(C3⋊D4) = D5×D4⋊S3φ: trivial image1208+D10.38(C3:D4)480,553
D10.39(C3⋊D4) = D5×D4.S3φ: trivial image1208-D10.39(C3:D4)480,559
D10.40(C3⋊D4) = D5×Q8⋊2S3φ: trivial image1208+D10.40(C3:D4)480,577
D10.41(C3⋊D4) = D5×C3⋊Q16φ: trivial image2408-D10.41(C3:D4)480,583
D10.42(C3⋊D4) = D5×C6.D4φ: trivial image120D10.42(C3:D4)480,623

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁