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

Extensions 1→N→G→Q→1 with N=C4 and Q=C10.D4

Direct product G=N×Q with N=C4 and Q=C10.D4
dρLabelID
C4×C10.D4320C4xC10.D4320,558

Semidirect products G=N:Q with N=C4 and Q=C10.D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C10.D4) = C20⋊4(C4⋊C4)φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4320C4:1(C10.D4)320,600
C4⋊2(C10.D4) = C20⋊5(C4⋊C4)φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4320C4:2(C10.D4)320,603
C4⋊3(C10.D4) = C20⋊7(C4⋊C4)φ: C10.D4/C2×C20 → C2 ⊆ Aut C4320C4:3(C10.D4)320,555

Non-split extensions G=N.Q with N=C4 and Q=C10.D4
extensionφ:Q→Aut NdρLabelID
C4.1(C10.D4) = C8.Dic10φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4804C4.1(C10.D4)320,45
C4.2(C10.D4) = C40.2Q8φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4320C4.2(C10.D4)320,47
C4.3(C10.D4) = C10.SD32φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4320C4.3(C10.D4)320,48
C4.4(C10.D4) = C40.7Q8φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C41604C4.4(C10.D4)320,51
C4.5(C10.D4) = C40.6Q8φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4804C4.5(C10.D4)320,52
C4.6(C10.D4) = C20.31C42φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4320C4.6(C10.D4)320,87
C4.7(C10.D4) = (C2×C20).Q8φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4160C4.7(C10.D4)320,88
C4.8(C10.D4) = C42⋊1Dic5φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4804C4.8(C10.D4)320,89
C4.9(C10.D4) = C20.60(C4⋊C4)φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4804C4.9(C10.D4)320,91
C4.10(C10.D4) = C20.33C42φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C480C4.10(C10.D4)320,113
C4.11(C10.D4) = (C2×C40)⋊C4φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4804C4.11(C10.D4)320,114
C4.12(C10.D4) = C23.9D20φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4804C4.12(C10.D4)320,115
C4.13(C10.D4) = M4(2)⋊4Dic5φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4804C4.13(C10.D4)320,117
C4.14(C10.D4) = C2×C10.D8φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4320C4.14(C10.D4)320,589
C4.15(C10.D4) = C2×C20.Q8φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4320C4.15(C10.D4)320,590
C4.16(C10.D4) = C20.47(C4⋊C4)φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4160C4.16(C10.D4)320,591
C4.17(C10.D4) = C20.48(C4⋊C4)φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4320C4.17(C10.D4)320,604
C4.18(C10.D4) = Dic5⋊5M4(2)φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4160C4.18(C10.D4)320,745
C4.19(C10.D4) = C20.51(C4⋊C4)φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4160C4.19(C10.D4)320,746
C4.20(C10.D4) = C2×C20.53D4φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4160C4.20(C10.D4)320,750
C4.21(C10.D4) = C23.Dic10φ: C10.D4/C2×Dic5 → C2 ⊆ Aut C4804C4.21(C10.D4)320,751
C4.22(C10.D4) = C42⋊6Dic5φ: C10.D4/C2×C20 → C2 ⊆ Aut C480C4.22(C10.D4)320,81
C4.23(C10.D4) = C20.39C42φ: C10.D4/C2×C20 → C2 ⊆ Aut C4320C4.23(C10.D4)320,109
C4.24(C10.D4) = M4(2)⋊Dic5φ: C10.D4/C2×C20 → C2 ⊆ Aut C4160C4.24(C10.D4)320,112
C4.25(C10.D4) = C20.64(C4⋊C4)φ: C10.D4/C2×C20 → C2 ⊆ Aut C4160C4.25(C10.D4)320,622
C4.26(C10.D4) = C20.65(C4⋊C4)φ: C10.D4/C2×C20 → C2 ⊆ Aut C4160C4.26(C10.D4)320,729
C4.27(C10.D4) = C40.88D4central extension (φ=1)320C4.27(C10.D4)320,59
C4.28(C10.D4) = C40.9Q8central extension (φ=1)804C4.28(C10.D4)320,69
C4.29(C10.D4) = (C2×C20)⋊8C8central extension (φ=1)320C4.29(C10.D4)320,82
C4.30(C10.D4) = C20.32C42central extension (φ=1)80C4.30(C10.D4)320,90
C4.31(C10.D4) = (C2×C40)⋊15C4central extension (φ=1)320C4.31(C10.D4)320,108
C4.32(C10.D4) = C20.76(C4⋊C4)central extension (φ=1)160C4.32(C10.D4)320,625
C4.33(C10.D4) = C2×C20.8Q8central extension (φ=1)320C4.33(C10.D4)320,726

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁