Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C22 and Q=Q8xD5

Direct product G=NxQ with N=C22 and Q=Q8xD5
dρLabelID
C22xQ8xD5160C2^2xQ8xD5320,1615

Semidirect products G=N:Q with N=C22 and Q=Q8xD5
extensionφ:Q→Aut NdρLabelID
C22:1(Q8xD5) = Dic10:21D4φ: Q8xD5/Dic10 → C2 ⊆ Aut C22160C2^2:1(Q8xD5)320,1304
C22:2(Q8xD5) = D5xC22:Q8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C2280C2^2:2(Q8xD5)320,1298
C22:3(Q8xD5) = Q8xC5:D4φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C22160C2^2:3(Q8xD5)320,1487

Non-split extensions G=N.Q with N=C22 and Q=Q8xD5
extensionφ:Q→Aut NdρLabelID
C22.1(Q8xD5) = C10.1182+ 1+4φ: Q8xD5/Dic10 → C2 ⊆ Aut C22160C2^2.1(Q8xD5)320,1307
C22.2(Q8xD5) = C10.522+ 1+4φ: Q8xD5/Dic10 → C2 ⊆ Aut C22160C2^2.2(Q8xD5)320,1308
C22.3(Q8xD5) = D5xC8.C4φ: Q8xD5/C4xD5 → C2 ⊆ Aut C22804C2^2.3(Q8xD5)320,519
C22.4(Q8xD5) = M4(2).25D10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C22804C2^2.4(Q8xD5)320,520
C22.5(Q8xD5) = (Q8xDic5):C2φ: Q8xD5/C4xD5 → C2 ⊆ Aut C22160C2^2.5(Q8xD5)320,1294
C22.6(Q8xD5) = C10.502+ 1+4φ: Q8xD5/C4xD5 → C2 ⊆ Aut C22160C2^2.6(Q8xD5)320,1295
C22.7(Q8xD5) = C10.512+ 1+4φ: Q8xD5/C4xD5 → C2 ⊆ Aut C2280C2^2.7(Q8xD5)320,1306
C22.8(Q8xD5) = C10.102+ 1+4φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C22160C2^2.8(Q8xD5)320,1183
C22.9(Q8xD5) = (C2xC20):Q8central extension (φ=1)320C2^2.9(Q8xD5)320,273
C22.10(Q8xD5) = C10.49(C4xD4)central extension (φ=1)320C2^2.10(Q8xD5)320,274
C22.11(Q8xD5) = Dic5:2C42central extension (φ=1)320C2^2.11(Q8xD5)320,276
C22.12(Q8xD5) = C5:2(C42:8C4)central extension (φ=1)320C2^2.12(Q8xD5)320,277
C22.13(Q8xD5) = C10.51(C4xD4)central extension (φ=1)320C2^2.13(Q8xD5)320,279
C22.14(Q8xD5) = C2.(C4xD20)central extension (φ=1)320C2^2.14(Q8xD5)320,280
C22.15(Q8xD5) = D5xC2.C42central extension (φ=1)160C2^2.15(Q8xD5)320,290
C22.16(Q8xD5) = D10:2(C4:C4)central extension (φ=1)160C2^2.16(Q8xD5)320,294
C22.17(Q8xD5) = D10:3(C4:C4)central extension (φ=1)160C2^2.17(Q8xD5)320,295
C22.18(Q8xD5) = C10.96(C4xD4)central extension (φ=1)320C2^2.18(Q8xD5)320,599
C22.19(Q8xD5) = C20:4(C4:C4)central extension (φ=1)320C2^2.19(Q8xD5)320,600
C22.20(Q8xD5) = (C2xDic5):6Q8central extension (φ=1)320C2^2.20(Q8xD5)320,601
C22.21(Q8xD5) = C4:C4xDic5central extension (φ=1)320C2^2.21(Q8xD5)320,602
C22.22(Q8xD5) = C20:5(C4:C4)central extension (φ=1)320C2^2.22(Q8xD5)320,603
C22.23(Q8xD5) = C10.97(C4xD4)central extension (φ=1)320C2^2.23(Q8xD5)320,605
C22.24(Q8xD5) = C4:C4:5Dic5central extension (φ=1)320C2^2.24(Q8xD5)320,608
C22.25(Q8xD5) = C20:6(C4:C4)central extension (φ=1)320C2^2.25(Q8xD5)320,612
C22.26(Q8xD5) = D10:4(C4:C4)central extension (φ=1)160C2^2.26(Q8xD5)320,614
C22.27(Q8xD5) = D10:5(C4:C4)central extension (φ=1)160C2^2.27(Q8xD5)320,616
C22.28(Q8xD5) = (Q8xC10):17C4central extension (φ=1)320C2^2.28(Q8xD5)320,857
C22.29(Q8xD5) = C2xDic5:3Q8central extension (φ=1)320C2^2.29(Q8xD5)320,1168
C22.30(Q8xD5) = C2xC20:Q8central extension (φ=1)320C2^2.30(Q8xD5)320,1169
C22.31(Q8xD5) = C2xDic5.Q8central extension (φ=1)320C2^2.31(Q8xD5)320,1170
C22.32(Q8xD5) = C2xD5xC4:C4central extension (φ=1)160C2^2.32(Q8xD5)320,1173
C22.33(Q8xD5) = C2xD10:Q8central extension (φ=1)160C2^2.33(Q8xD5)320,1180
C22.34(Q8xD5) = C2xD10:2Q8central extension (φ=1)160C2^2.34(Q8xD5)320,1181
C22.35(Q8xD5) = C2xDic5:Q8central extension (φ=1)320C2^2.35(Q8xD5)320,1482
C22.36(Q8xD5) = C2xQ8xDic5central extension (φ=1)320C2^2.36(Q8xD5)320,1483
C22.37(Q8xD5) = C2xD10:3Q8central extension (φ=1)160C2^2.37(Q8xD5)320,1485
C22.38(Q8xD5) = (C2xDic5):Q8central stem extension (φ=1)320C2^2.38(Q8xD5)320,283
C22.39(Q8xD5) = C2.(C20:Q8)central stem extension (φ=1)320C2^2.39(Q8xD5)320,284
C22.40(Q8xD5) = (C2xDic5).Q8central stem extension (φ=1)320C2^2.40(Q8xD5)320,285
C22.41(Q8xD5) = (C2xC20).28D4central stem extension (φ=1)320C2^2.41(Q8xD5)320,286
C22.42(Q8xD5) = (C2xC4).20D20central stem extension (φ=1)160C2^2.42(Q8xD5)320,300
C22.43(Q8xD5) = (C22xD5).Q8central stem extension (φ=1)160C2^2.43(Q8xD5)320,303
C22.44(Q8xD5) = (C2xC20).33D4central stem extension (φ=1)160C2^2.44(Q8xD5)320,304
C22.45(Q8xD5) = (C2xC4):Dic10central stem extension (φ=1)320C2^2.45(Q8xD5)320,606
C22.46(Q8xD5) = (C2xC20).287D4central stem extension (φ=1)320C2^2.46(Q8xD5)320,607
C22.47(Q8xD5) = (C2xC20).288D4central stem extension (φ=1)320C2^2.47(Q8xD5)320,609
C22.48(Q8xD5) = (C2xC20).53D4central stem extension (φ=1)320C2^2.48(Q8xD5)320,610
C22.49(Q8xD5) = (C2xC20).54D4central stem extension (φ=1)320C2^2.49(Q8xD5)320,611
C22.50(Q8xD5) = (C2xC20).289D4central stem extension (φ=1)160C2^2.50(Q8xD5)320,619
C22.51(Q8xD5) = (C2xC20).56D4central stem extension (φ=1)160C2^2.51(Q8xD5)320,621
C22.52(Q8xD5) = C10.C22wrC2central stem extension (φ=1)320C2^2.52(Q8xD5)320,856
C22.53(Q8xD5) = (C22xD5):Q8central stem extension (φ=1)160C2^2.53(Q8xD5)320,858

׿
x
:
Z
F
o
wr
Q
<