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

Extensions 1→N→G→Q→1 with N=C2 and Q=C5×2- 1+4

Direct product G=N×Q with N=C2 and Q=C5×2- 1+4
dρLabelID
C10×2- 1+4160C10xES-(2,2)320,1633


Non-split extensions G=N.Q with N=C2 and Q=C5×2- 1+4
extensionφ:Q→Aut NdρLabelID
C2.1(C5×2- 1+4) = C5×C23.32C23central extension (φ=1)160C2.1(C5xES-(2,2))320,1521
C2.2(C5×2- 1+4) = C5×C23.33C23central extension (φ=1)160C2.2(C5xES-(2,2))320,1522
C2.3(C5×2- 1+4) = C5×C23.38C23central stem extension (φ=1)160C2.3(C5xES-(2,2))320,1538
C2.4(C5×2- 1+4) = C5×C22.31C24central stem extension (φ=1)160C2.4(C5xES-(2,2))320,1539
C2.5(C5×2- 1+4) = C5×C22.33C24central stem extension (φ=1)160C2.5(C5xES-(2,2))320,1541
C2.6(C5×2- 1+4) = C5×C22.35C24central stem extension (φ=1)160C2.6(C5xES-(2,2))320,1543
C2.7(C5×2- 1+4) = C5×C22.36C24central stem extension (φ=1)160C2.7(C5xES-(2,2))320,1544
C2.8(C5×2- 1+4) = C5×C23.41C23central stem extension (φ=1)160C2.8(C5xES-(2,2))320,1546
C2.9(C5×2- 1+4) = C5×D4⋊6D4central stem extension (φ=1)160C2.9(C5xES-(2,2))320,1549
C2.10(C5×2- 1+4) = C5×Q8⋊5D4central stem extension (φ=1)160C2.10(C5xES-(2,2))320,1550
C2.11(C5×2- 1+4) = C5×D4×Q8central stem extension (φ=1)160C2.11(C5xES-(2,2))320,1551
C2.12(C5×2- 1+4) = C5×C22.46C24central stem extension (φ=1)160C2.12(C5xES-(2,2))320,1554
C2.13(C5×2- 1+4) = C5×C22.50C24central stem extension (φ=1)160C2.13(C5xES-(2,2))320,1558
C2.14(C5×2- 1+4) = C5×Q8⋊3Q8central stem extension (φ=1)320C2.14(C5xES-(2,2))320,1559
C2.15(C5×2- 1+4) = C5×C22.56C24central stem extension (φ=1)160C2.15(C5xES-(2,2))320,1564
C2.16(C5×2- 1+4) = C5×C22.57C24central stem extension (φ=1)160C2.16(C5xES-(2,2))320,1565
C2.17(C5×2- 1+4) = C5×C22.58C24central stem extension (φ=1)320C2.17(C5xES-(2,2))320,1566

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁