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

Extensions 1→N→G→Q→1 with N=C2 and Q=D5×C3⋊D4

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


Non-split extensions G=N.Q with N=C2 and Q=D5×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(D5×C3⋊D4) = D5×Dic3⋊C4central extension (φ=1)240C2.1(D5xC3:D4)480,468
C2.2(D5×C3⋊D4) = D6⋊(C4×D5)central extension (φ=1)240C2.2(D5xC3:D4)480,516
C2.3(D5×C3⋊D4) = C15⋊20(C4×D4)central extension (φ=1)240C2.3(D5xC3:D4)480,520
C2.4(D5×C3⋊D4) = D5×D6⋊C4central extension (φ=1)120C2.4(D5xC3:D4)480,547
C2.5(D5×C3⋊D4) = D5×C6.D4central extension (φ=1)120C2.5(D5xC3:D4)480,623
C2.6(D5×C3⋊D4) = Dic5×C3⋊D4central extension (φ=1)240C2.6(D5xC3:D4)480,627
C2.7(D5×C3⋊D4) = C15⋊26(C4×D4)central extension (φ=1)240C2.7(D5xC3:D4)480,628
C2.8(D5×C3⋊D4) = (C2×C20).D6central stem extension (φ=1)240C2.8(D5xC3:D4)480,402
C2.9(D5×C3⋊D4) = Dic15⋊1Q8central stem extension (φ=1)480C2.9(D5xC3:D4)480,403
C2.10(D5×C3⋊D4) = Dic3⋊C4⋊D5central stem extension (φ=1)240C2.10(D5xC3:D4)480,424
C2.11(D5×C3⋊D4) = D10⋊Dic6central stem extension (φ=1)240C2.11(D5xC3:D4)480,425
C2.12(D5×C3⋊D4) = (C6×D5).D4central stem extension (φ=1)240C2.12(D5xC3:D4)480,483
C2.13(D5×C3⋊D4) = Dic15⋊D4central stem extension (φ=1)240C2.13(D5xC3:D4)480,484
C2.14(D5×C3⋊D4) = Dic3⋊D20central stem extension (φ=1)240C2.14(D5xC3:D4)480,485
C2.15(D5×C3⋊D4) = D6⋊1Dic10central stem extension (φ=1)240C2.15(D5xC3:D4)480,486
C2.16(D5×C3⋊D4) = D30⋊Q8central stem extension (φ=1)240C2.16(D5xC3:D4)480,487
C2.17(D5×C3⋊D4) = D6⋊C4⋊D5central stem extension (φ=1)240C2.17(D5xC3:D4)480,523
C2.18(D5×C3⋊D4) = D10⋊D12central stem extension (φ=1)240C2.18(D5xC3:D4)480,524
C2.19(D5×C3⋊D4) = D6⋊4D20central stem extension (φ=1)120C2.19(D5xC3:D4)480,550
C2.20(D5×C3⋊D4) = D5×D4⋊S3central stem extension (φ=1)1208+C2.20(D5xC3:D4)480,553
C2.21(D5×C3⋊D4) = Dic10⋊3D6central stem extension (φ=1)1208+C2.21(D5xC3:D4)480,554
C2.22(D5×C3⋊D4) = D5×D4.S3central stem extension (φ=1)1208-C2.22(D5xC3:D4)480,559
C2.23(D5×C3⋊D4) = C60.8C23central stem extension (φ=1)2408-C2.23(D5xC3:D4)480,560
C2.24(D5×C3⋊D4) = D12⋊10D10central stem extension (φ=1)1208-C2.24(D5xC3:D4)480,565
C2.25(D5×C3⋊D4) = D12.24D10central stem extension (φ=1)2408-C2.25(D5xC3:D4)480,566
C2.26(D5×C3⋊D4) = D20.9D6central stem extension (φ=1)1208+C2.26(D5xC3:D4)480,567
C2.27(D5×C3⋊D4) = C60.16C23central stem extension (φ=1)2408+C2.27(D5xC3:D4)480,568
C2.28(D5×C3⋊D4) = D5×Q8⋊2S3central stem extension (φ=1)1208+C2.28(D5xC3:D4)480,577
C2.29(D5×C3⋊D4) = D20⋊D6central stem extension (φ=1)1208+C2.29(D5xC3:D4)480,578
C2.30(D5×C3⋊D4) = D5×C3⋊Q16central stem extension (φ=1)2408-C2.30(D5xC3:D4)480,583
C2.31(D5×C3⋊D4) = D20.13D6central stem extension (φ=1)2408-C2.31(D5xC3:D4)480,584
C2.32(D5×C3⋊D4) = D12.27D10central stem extension (φ=1)2408-C2.32(D5xC3:D4)480,589
C2.33(D5×C3⋊D4) = D20.14D6central stem extension (φ=1)2408-C2.33(D5xC3:D4)480,590
C2.34(D5×C3⋊D4) = C60.39C23central stem extension (φ=1)2408+C2.34(D5xC3:D4)480,591
C2.35(D5×C3⋊D4) = D20.D6central stem extension (φ=1)2408+C2.35(D5xC3:D4)480,592
C2.36(D5×C3⋊D4) = D30⋊6D4central stem extension (φ=1)240C2.36(D5xC3:D4)480,609
C2.37(D5×C3⋊D4) = C6.(D4×D5)central stem extension (φ=1)240C2.37(D5xC3:D4)480,610
C2.38(D5×C3⋊D4) = C23.17(S3×D5)central stem extension (φ=1)240C2.38(D5xC3:D4)480,624
C2.39(D5×C3⋊D4) = (C6×D5)⋊D4central stem extension (φ=1)240C2.39(D5xC3:D4)480,625
C2.40(D5×C3⋊D4) = Dic15⋊3D4central stem extension (φ=1)240C2.40(D5xC3:D4)480,626
C2.41(D5×C3⋊D4) = (C2×C30)⋊D4central stem extension (φ=1)120C2.41(D5xC3:D4)480,639
C2.42(D5×C3⋊D4) = (C2×C6)⋊8D20central stem extension (φ=1)120C2.42(D5xC3:D4)480,640
C2.43(D5×C3⋊D4) = (S3×C10)⋊D4central stem extension (φ=1)240C2.43(D5xC3:D4)480,641
C2.44(D5×C3⋊D4) = (C2×C10)⋊4D12central stem extension (φ=1)240C2.44(D5xC3:D4)480,642
C2.45(D5×C3⋊D4) = Dic15⋊5D4central stem extension (φ=1)240C2.45(D5xC3:D4)480,643
C2.46(D5×C3⋊D4) = (C2×C30)⋊Q8central stem extension (φ=1)240C2.46(D5xC3:D4)480,650
C2.47(D5×C3⋊D4) = D30⋊8D4central stem extension (φ=1)120C2.47(D5xC3:D4)480,653

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁