Extensions 1→N→G→Q→1 with N=C22 and Q=Q8:2D5

Direct product G=NxQ with N=C22 and Q=Q8:2D5
dρLabelID
C22xQ8:2D5160C2^2xQ8:2D5320,1616

Semidirect products G=N:Q with N=C22 and Q=Q8:2D5
extensionφ:Q→Aut NdρLabelID
C22:1(Q8:2D5) = C4:C4:26D10φ: Q8:2D5/C4xD5C2 ⊆ Aut C2280C2^2:1(Q8:2D5)320,1299
C22:2(Q8:2D5) = D20:21D4φ: Q8:2D5/D20C2 ⊆ Aut C2280C2^2:2(Q8:2D5)320,1302
C22:3(Q8:2D5) = C10.452- 1+4φ: Q8:2D5/C5xQ8C2 ⊆ Aut C22160C2^2:3(Q8:2D5)320,1489

Non-split extensions G=N.Q with N=C22 and Q=Q8:2D5
extensionφ:Q→Aut NdρLabelID
C22.1(Q8:2D5) = D40:16C4φ: Q8:2D5/C4xD5C2 ⊆ Aut C22804C2^2.1(Q8:2D5)320,521
C22.2(Q8:2D5) = D40:13C4φ: Q8:2D5/C4xD5C2 ⊆ Aut C22804C2^2.2(Q8:2D5)320,522
C22.3(Q8:2D5) = C22:Q8:25D5φ: Q8:2D5/C4xD5C2 ⊆ Aut C22160C2^2.3(Q8:2D5)320,1296
C22.4(Q8:2D5) = C10.562+ 1+4φ: Q8:2D5/C4xD5C2 ⊆ Aut C2280C2^2.4(Q8:2D5)320,1316
C22.5(Q8:2D5) = C10.572+ 1+4φ: Q8:2D5/C4xD5C2 ⊆ Aut C22160C2^2.5(Q8:2D5)320,1317
C22.6(Q8:2D5) = C8.20D20φ: Q8:2D5/D20C2 ⊆ Aut C221604-C2^2.6(Q8:2D5)320,523
C22.7(Q8:2D5) = C8.21D20φ: Q8:2D5/D20C2 ⊆ Aut C22804+C2^2.7(Q8:2D5)320,524
C22.8(Q8:2D5) = C8.24D20φ: Q8:2D5/D20C2 ⊆ Aut C22804C2^2.8(Q8:2D5)320,525
C22.9(Q8:2D5) = C10.532+ 1+4φ: Q8:2D5/D20C2 ⊆ Aut C2280C2^2.9(Q8:2D5)320,1309
C22.10(Q8:2D5) = C10.772- 1+4φ: Q8:2D5/D20C2 ⊆ Aut C22160C2^2.10(Q8:2D5)320,1314
C22.11(Q8:2D5) = C10.112+ 1+4φ: Q8:2D5/C5xQ8C2 ⊆ Aut C22160C2^2.11(Q8:2D5)320,1186
C22.12(Q8:2D5) = Dic5.15C42central extension (φ=1)320C2^2.12(Q8:2D5)320,275
C22.13(Q8:2D5) = C5:2(C42:5C4)central extension (φ=1)320C2^2.13(Q8:2D5)320,278
C22.14(Q8:2D5) = C4:Dic5:15C4central extension (φ=1)320C2^2.14(Q8:2D5)320,281
C22.15(Q8:2D5) = C10.52(C4xD4)central extension (φ=1)320C2^2.15(Q8:2D5)320,282
C22.16(Q8:2D5) = C22.58(D4xD5)central extension (φ=1)160C2^2.16(Q8:2D5)320,291
C22.17(Q8:2D5) = (C2xC4):9D20central extension (φ=1)160C2^2.17(Q8:2D5)320,292
C22.18(Q8:2D5) = D10:2C42central extension (φ=1)160C2^2.18(Q8:2D5)320,293
C22.19(Q8:2D5) = C10.54(C4xD4)central extension (φ=1)160C2^2.19(Q8:2D5)320,296
C22.20(Q8:2D5) = C10.55(C4xD4)central extension (φ=1)160C2^2.20(Q8:2D5)320,297
C22.21(Q8:2D5) = C20:4(C4:C4)central extension (φ=1)320C2^2.21(Q8:2D5)320,600
C22.22(Q8:2D5) = C4:C4xDic5central extension (φ=1)320C2^2.22(Q8:2D5)320,602
C22.23(Q8:2D5) = C20.48(C4:C4)central extension (φ=1)320C2^2.23(Q8:2D5)320,604
C22.24(Q8:2D5) = C10.97(C4xD4)central extension (φ=1)320C2^2.24(Q8:2D5)320,605
C22.25(Q8:2D5) = C4:C4:5Dic5central extension (φ=1)320C2^2.25(Q8:2D5)320,608
C22.26(Q8:2D5) = C20:6(C4:C4)central extension (φ=1)320C2^2.26(Q8:2D5)320,612
C22.27(Q8:2D5) = D10:4(C4:C4)central extension (φ=1)160C2^2.27(Q8:2D5)320,614
C22.28(Q8:2D5) = (C2xD20):22C4central extension (φ=1)160C2^2.28(Q8:2D5)320,615
C22.29(Q8:2D5) = D10:5(C4:C4)central extension (φ=1)160C2^2.29(Q8:2D5)320,616
C22.30(Q8:2D5) = C10.90(C4xD4)central extension (φ=1)160C2^2.30(Q8:2D5)320,617
C22.31(Q8:2D5) = (Q8xC10):17C4central extension (φ=1)320C2^2.31(Q8:2D5)320,857
C22.32(Q8:2D5) = C2xC4.Dic10central extension (φ=1)320C2^2.32(Q8:2D5)320,1171
C22.33(Q8:2D5) = C2xC4:C4:7D5central extension (φ=1)160C2^2.33(Q8:2D5)320,1174
C22.34(Q8:2D5) = C2xD20:8C4central extension (φ=1)160C2^2.34(Q8:2D5)320,1175
C22.35(Q8:2D5) = C2xD10.13D4central extension (φ=1)160C2^2.35(Q8:2D5)320,1177
C22.36(Q8:2D5) = C2xC4:D20central extension (φ=1)160C2^2.36(Q8:2D5)320,1178
C22.37(Q8:2D5) = C2xC4:C4:D5central extension (φ=1)160C2^2.37(Q8:2D5)320,1184
C22.38(Q8:2D5) = C2xQ8xDic5central extension (φ=1)320C2^2.38(Q8:2D5)320,1483
C22.39(Q8:2D5) = C2xD10:3Q8central extension (φ=1)160C2^2.39(Q8:2D5)320,1485
C22.40(Q8:2D5) = C2xC20.23D4central extension (φ=1)160C2^2.40(Q8:2D5)320,1486
C22.41(Q8:2D5) = (C2xC4).Dic10central stem extension (φ=1)320C2^2.41(Q8:2D5)320,287
C22.42(Q8:2D5) = C10.(C4:Q8)central stem extension (φ=1)320C2^2.42(Q8:2D5)320,288
C22.43(Q8:2D5) = (C22xC4).D10central stem extension (φ=1)320C2^2.43(Q8:2D5)320,289
C22.44(Q8:2D5) = (C2xC20):5D4central stem extension (φ=1)160C2^2.44(Q8:2D5)320,298
C22.45(Q8:2D5) = (C2xDic5):3D4central stem extension (φ=1)160C2^2.45(Q8:2D5)320,299
C22.46(Q8:2D5) = (C2xC4).21D20central stem extension (φ=1)160C2^2.46(Q8:2D5)320,301
C22.47(Q8:2D5) = C10.(C4:D4)central stem extension (φ=1)160C2^2.47(Q8:2D5)320,302
C22.48(Q8:2D5) = (C2xC20).288D4central stem extension (φ=1)320C2^2.48(Q8:2D5)320,609
C22.49(Q8:2D5) = (C2xC20).54D4central stem extension (φ=1)320C2^2.49(Q8:2D5)320,611
C22.50(Q8:2D5) = (C2xC20).55D4central stem extension (φ=1)320C2^2.50(Q8:2D5)320,613
C22.51(Q8:2D5) = (C2xC4):3D20central stem extension (φ=1)160C2^2.51(Q8:2D5)320,618
C22.52(Q8:2D5) = (C2xC20).289D4central stem extension (φ=1)160C2^2.52(Q8:2D5)320,619
C22.53(Q8:2D5) = (C2xC20).290D4central stem extension (φ=1)160C2^2.53(Q8:2D5)320,620
C22.54(Q8:2D5) = (C2xC20).56D4central stem extension (φ=1)160C2^2.54(Q8:2D5)320,621
C22.55(Q8:2D5) = C10.C22wrC2central stem extension (φ=1)320C2^2.55(Q8:2D5)320,856
C22.56(Q8:2D5) = (C22xD5):Q8central stem extension (φ=1)160C2^2.56(Q8:2D5)320,858

׿
x
:
Z
F
o
wr
Q
<