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

Extensions 1→N→G→Q→1 with N=C4 and Q=C23.D5

Direct product G=N×Q with N=C4 and Q=C23.D5
dρLabelID
C4×C23.D5160C4xC2^3.D5320,836

Semidirect products G=N:Q with N=C4 and Q=C23.D5
extensionφ:Q→Aut NdρLabelID
C4⋊1(C23.D5) = C24.19D10φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4160C4:1(C2^3.D5)320,848
C4⋊2(C23.D5) = C24.64D10φ: C23.D5/C22×C10 → C2 ⊆ Aut C4160C4:2(C2^3.D5)320,839

Non-split extensions G=N.Q with N=C4 and Q=C23.D5
extensionφ:Q→Aut NdρLabelID
C4.1(C23.D5) = C10.D16φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4160C4.1(C2^3.D5)320,120
C4.2(C23.D5) = D8.Dic5φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4804C4.2(C2^3.D5)320,121
C4.3(C23.D5) = C40.15D4φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4320C4.3(C2^3.D5)320,122
C4.4(C23.D5) = Q16.Dic5φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C41604C4.4(C2^3.D5)320,123
C4.5(C23.D5) = D8⋊2Dic5φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4804C4.5(C2^3.D5)320,124
C4.6(C23.D5) = C20.58D8φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C41604C4.6(C2^3.D5)320,125
C4.7(C23.D5) = C2×D4⋊Dic5φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4160C4.7(C2^3.D5)320,841
C4.8(C23.D5) = (D4×C10)⋊18C4φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C480C4.8(C2^3.D5)320,842
C4.9(C23.D5) = C2×C20.D4φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C480C4.9(C2^3.D5)320,843
C4.10(C23.D5) = C2×Q8⋊Dic5φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4320C4.10(C2^3.D5)320,851
C4.11(C23.D5) = (Q8×C10)⋊16C4φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4160C4.11(C2^3.D5)320,852
C4.12(C23.D5) = C2×C20.10D4φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4160C4.12(C2^3.D5)320,853
C4.13(C23.D5) = (Q8×C10)⋊17C4φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4320C4.13(C2^3.D5)320,857
C4.14(C23.D5) = (D4×C10).24C4φ: C23.D5/C2×Dic5 → C2 ⊆ Aut C4160C4.14(C2^3.D5)320,861
C4.15(C23.D5) = C20.39C42φ: C23.D5/C22×C10 → C2 ⊆ Aut C4320C4.15(C2^3.D5)320,109
C4.16(C23.D5) = C20.40C42φ: C23.D5/C22×C10 → C2 ⊆ Aut C4160C4.16(C2^3.D5)320,110
C4.17(C23.D5) = M4(2)⋊Dic5φ: C23.D5/C22×C10 → C2 ⊆ Aut C4160C4.17(C2^3.D5)320,112
C4.18(C23.D5) = C23.9D20φ: C23.D5/C22×C10 → C2 ⊆ Aut C4804C4.18(C2^3.D5)320,115
C4.19(C23.D5) = M4(2)⋊4Dic5φ: C23.D5/C22×C10 → C2 ⊆ Aut C4804C4.19(C2^3.D5)320,117
C4.20(C23.D5) = C20.51C42φ: C23.D5/C22×C10 → C2 ⊆ Aut C4804C4.20(C2^3.D5)320,118
C4.21(C23.D5) = C24.4Dic5φ: C23.D5/C22×C10 → C2 ⊆ Aut C480C4.21(C2^3.D5)320,834
C4.22(C23.D5) = C4○D4⋊Dic5φ: C23.D5/C22×C10 → C2 ⊆ Aut C4160C4.22(C2^3.D5)320,859
C4.23(C23.D5) = (D4×C10)⋊21C4φ: C23.D5/C22×C10 → C2 ⊆ Aut C4804C4.23(C2^3.D5)320,863
C4.24(C23.D5) = C40.91D4central extension (φ=1)160C4.24(C2^3.D5)320,107
C4.25(C23.D5) = (C2×C40)⋊15C4central extension (φ=1)320C4.25(C2^3.D5)320,108
C4.26(C23.D5) = C40.D4central extension (φ=1)804C4.26(C2^3.D5)320,111
C4.27(C23.D5) = C20.33C42central extension (φ=1)80C4.27(C2^3.D5)320,113
C4.28(C23.D5) = (C2×C40)⋊C4central extension (φ=1)804C4.28(C2^3.D5)320,114
C4.29(C23.D5) = C20.34C42central extension (φ=1)160C4.29(C2^3.D5)320,116
C4.30(C23.D5) = C40.92D4central extension (φ=1)1604C4.30(C2^3.D5)320,119
C4.31(C23.D5) = C2×C20.55D4central extension (φ=1)160C4.31(C2^3.D5)320,833
C4.32(C23.D5) = C20.(C2×D4)central extension (φ=1)160C4.32(C2^3.D5)320,860
C4.33(C23.D5) = C2×D4⋊2Dic5central extension (φ=1)80C4.33(C2^3.D5)320,862
C4.34(C23.D5) = (D4×C10).29C4central extension (φ=1)804C4.34(C2^3.D5)320,864
C4.35(C23.D5) = (D4×C10)⋊22C4central extension (φ=1)804C4.35(C2^3.D5)320,867

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁