Extensions 1→N→G→Q→1 with N=C22 and Q=D4:2D5

Direct product G=NxQ with N=C22 and Q=D4:2D5
dρLabelID
C22xD4:2D5160C2^2xD4:2D5320,1613

Semidirect products G=N:Q with N=C22 and Q=D4:2D5
extensionφ:Q→Aut NdρLabelID
C22:1(D4:2D5) = Dic10:19D4φ: D4:2D5/Dic10C2 ⊆ Aut C22160C2^2:1(D4:2D5)320,1270
C22:2(D4:2D5) = C4:C4:21D10φ: D4:2D5/C4xD5C2 ⊆ Aut C2280C2^2:2(D4:2D5)320,1278
C22:3(D4:2D5) = C24.56D10φ: D4:2D5/C2xDic5C2 ⊆ Aut C2280C2^2:3(D4:2D5)320,1258
C22:4(D4:2D5) = C24.33D10φ: D4:2D5/C5:D4C2 ⊆ Aut C2280C2^2:4(D4:2D5)320,1263
C22:5(D4:2D5) = C24.42D10φ: D4:2D5/C5xD4C2 ⊆ Aut C2280C2^2:5(D4:2D5)320,1478

Non-split extensions G=N.Q with N=C22 and Q=D4:2D5
extensionφ:Q→Aut NdρLabelID
C22.1(D4:2D5) = C10.342+ 1+4φ: D4:2D5/Dic10C2 ⊆ Aut C22160C2^2.1(D4:2D5)320,1273
C22.2(D4:2D5) = C10.1152+ 1+4φ: D4:2D5/Dic10C2 ⊆ Aut C22160C2^2.2(D4:2D5)320,1290
C22.3(D4:2D5) = D8:5Dic5φ: D4:2D5/C4xD5C2 ⊆ Aut C22804C2^2.3(D4:2D5)320,823
C22.4(D4:2D5) = D8:4Dic5φ: D4:2D5/C4xD5C2 ⊆ Aut C22804C2^2.4(D4:2D5)320,824
C22.5(D4:2D5) = C4:C4.178D10φ: D4:2D5/C4xD5C2 ⊆ Aut C22160C2^2.5(D4:2D5)320,1272
C22.6(D4:2D5) = C10.352+ 1+4φ: D4:2D5/C4xD5C2 ⊆ Aut C22160C2^2.6(D4:2D5)320,1274
C22.7(D4:2D5) = C10.462+ 1+4φ: D4:2D5/C4xD5C2 ⊆ Aut C2280C2^2.7(D4:2D5)320,1289
C22.8(D4:2D5) = M4(2).22D10φ: D4:2D5/C2xDic5C2 ⊆ Aut C22804C2^2.8(D4:2D5)320,450
C22.9(D4:2D5) = C42.196D10φ: D4:2D5/C2xDic5C2 ⊆ Aut C22804C2^2.9(D4:2D5)320,451
C22.10(D4:2D5) = C24.35D10φ: D4:2D5/C2xDic5C2 ⊆ Aut C2280C2^2.10(D4:2D5)320,1265
C22.11(D4:2D5) = C4:C4.197D10φ: D4:2D5/C2xDic5C2 ⊆ Aut C22160C2^2.11(D4:2D5)320,1321
C22.12(D4:2D5) = C10.852- 1+4φ: D4:2D5/C2xDic5C2 ⊆ Aut C22160C2^2.12(D4:2D5)320,1337
C22.13(D4:2D5) = M4(2).D10φ: D4:2D5/C5:D4C2 ⊆ Aut C22808+C2^2.13(D4:2D5)320,826
C22.14(D4:2D5) = M4(2).13D10φ: D4:2D5/C5:D4C2 ⊆ Aut C22808-C2^2.14(D4:2D5)320,827
C22.15(D4:2D5) = M4(2).15D10φ: D4:2D5/C5:D4C2 ⊆ Aut C22808+C2^2.15(D4:2D5)320,830
C22.16(D4:2D5) = M4(2).16D10φ: D4:2D5/C5:D4C2 ⊆ Aut C221608-C2^2.16(D4:2D5)320,831
C22.17(D4:2D5) = C24.32D10φ: D4:2D5/C5:D4C2 ⊆ Aut C2280C2^2.17(D4:2D5)320,1259
C22.18(D4:2D5) = C10.802- 1+4φ: D4:2D5/C5:D4C2 ⊆ Aut C22160C2^2.18(D4:2D5)320,1322
C22.19(D4:2D5) = C10.1222+ 1+4φ: D4:2D5/C5:D4C2 ⊆ Aut C2280C2^2.19(D4:2D5)320,1330
C22.20(D4:2D5) = C40.23D4φ: D4:2D5/C5xD4C2 ⊆ Aut C22804C2^2.20(D4:2D5)320,787
C22.21(D4:2D5) = C40.44D4φ: D4:2D5/C5xD4C2 ⊆ Aut C22804C2^2.21(D4:2D5)320,804
C22.22(D4:2D5) = C40.29D4φ: D4:2D5/C5xD4C2 ⊆ Aut C221604C2^2.22(D4:2D5)320,819
C22.23(D4:2D5) = C24.31D10φ: D4:2D5/C5xD4C2 ⊆ Aut C2280C2^2.23(D4:2D5)320,1167
C22.24(D4:2D5) = C10.52- 1+4φ: D4:2D5/C5xD4C2 ⊆ Aut C22160C2^2.24(D4:2D5)320,1185
C22.25(D4:2D5) = (C2xC20):Q8central extension (φ=1)320C2^2.25(D4:2D5)320,273
C22.26(D4:2D5) = C10.49(C4xD4)central extension (φ=1)320C2^2.26(D4:2D5)320,274
C22.27(D4:2D5) = Dic5.15C42central extension (φ=1)320C2^2.27(D4:2D5)320,275
C22.28(D4:2D5) = Dic5:2C42central extension (φ=1)320C2^2.28(D4:2D5)320,276
C22.29(D4:2D5) = C5:2(C42:8C4)central extension (φ=1)320C2^2.29(D4:2D5)320,277
C22.30(D4:2D5) = C5:2(C42:5C4)central extension (φ=1)320C2^2.30(D4:2D5)320,278
C22.31(D4:2D5) = C10.51(C4xD4)central extension (φ=1)320C2^2.31(D4:2D5)320,279
C22.32(D4:2D5) = C2.(C4xD20)central extension (φ=1)320C2^2.32(D4:2D5)320,280
C22.33(D4:2D5) = C4:Dic5:15C4central extension (φ=1)320C2^2.33(D4:2D5)320,281
C22.34(D4:2D5) = C10.52(C4xD4)central extension (φ=1)320C2^2.34(D4:2D5)320,282
C22.35(D4:2D5) = C22.58(D4xD5)central extension (φ=1)160C2^2.35(D4:2D5)320,291
C22.36(D4:2D5) = D10:2C42central extension (φ=1)160C2^2.36(D4:2D5)320,293
C22.37(D4:2D5) = D10:3(C4:C4)central extension (φ=1)160C2^2.37(D4:2D5)320,295
C22.38(D4:2D5) = C10.54(C4xD4)central extension (φ=1)160C2^2.38(D4:2D5)320,296
C22.39(D4:2D5) = C10.55(C4xD4)central extension (φ=1)160C2^2.39(D4:2D5)320,297
C22.40(D4:2D5) = C22:C4xDic5central extension (φ=1)160C2^2.40(D4:2D5)320,568
C22.41(D4:2D5) = C24.44D10central extension (φ=1)160C2^2.41(D4:2D5)320,569
C22.42(D4:2D5) = C23.42D20central extension (φ=1)160C2^2.42(D4:2D5)320,570
C22.43(D4:2D5) = C24.3D10central extension (φ=1)160C2^2.43(D4:2D5)320,571
C22.44(D4:2D5) = C24.4D10central extension (φ=1)160C2^2.44(D4:2D5)320,572
C22.45(D4:2D5) = C24.46D10central extension (φ=1)160C2^2.45(D4:2D5)320,573
C22.46(D4:2D5) = C24.47D10central extension (φ=1)160C2^2.46(D4:2D5)320,577
C22.47(D4:2D5) = C24.8D10central extension (φ=1)160C2^2.47(D4:2D5)320,578
C22.48(D4:2D5) = C24.12D10central extension (φ=1)160C2^2.48(D4:2D5)320,583
C22.49(D4:2D5) = C24.13D10central extension (φ=1)160C2^2.49(D4:2D5)320,584
C22.50(D4:2D5) = C23.45D20central extension (φ=1)160C2^2.50(D4:2D5)320,585
C22.51(D4:2D5) = C10.96(C4xD4)central extension (φ=1)320C2^2.51(D4:2D5)320,599
C22.52(D4:2D5) = C20:4(C4:C4)central extension (φ=1)320C2^2.52(D4:2D5)320,600
C22.53(D4:2D5) = (C2xDic5):6Q8central extension (φ=1)320C2^2.53(D4:2D5)320,601
C22.54(D4:2D5) = C4:C4xDic5central extension (φ=1)320C2^2.54(D4:2D5)320,602
C22.55(D4:2D5) = C20.48(C4:C4)central extension (φ=1)320C2^2.55(D4:2D5)320,604
C22.56(D4:2D5) = C10.97(C4xD4)central extension (φ=1)320C2^2.56(D4:2D5)320,605
C22.57(D4:2D5) = C4:C4:5Dic5central extension (φ=1)320C2^2.57(D4:2D5)320,608
C22.58(D4:2D5) = C20:6(C4:C4)central extension (φ=1)320C2^2.58(D4:2D5)320,612
C22.59(D4:2D5) = D10:4(C4:C4)central extension (φ=1)160C2^2.59(D4:2D5)320,614
C22.60(D4:2D5) = C10.90(C4xD4)central extension (φ=1)160C2^2.60(D4:2D5)320,617
C22.61(D4:2D5) = C24.18D10central extension (φ=1)160C2^2.61(D4:2D5)320,847
C22.62(D4:2D5) = C24.19D10central extension (φ=1)160C2^2.62(D4:2D5)320,848
C22.63(D4:2D5) = C2xC23.11D10central extension (φ=1)160C2^2.63(D4:2D5)320,1152
C22.64(D4:2D5) = C2xDic5.14D4central extension (φ=1)160C2^2.64(D4:2D5)320,1153
C22.65(D4:2D5) = C2xC23.D10central extension (φ=1)160C2^2.65(D4:2D5)320,1154
C22.66(D4:2D5) = C2xDic5:4D4central extension (φ=1)160C2^2.66(D4:2D5)320,1157
C22.67(D4:2D5) = C2xD10.12D4central extension (φ=1)160C2^2.67(D4:2D5)320,1160
C22.68(D4:2D5) = C2xDic5.5D4central extension (φ=1)160C2^2.68(D4:2D5)320,1163
C22.69(D4:2D5) = C2xC22.D20central extension (φ=1)160C2^2.69(D4:2D5)320,1164
C22.70(D4:2D5) = C2xDic5:3Q8central extension (φ=1)320C2^2.70(D4:2D5)320,1168
C22.71(D4:2D5) = C2xDic5.Q8central extension (φ=1)320C2^2.71(D4:2D5)320,1170
C22.72(D4:2D5) = C2xC4.Dic10central extension (φ=1)320C2^2.72(D4:2D5)320,1171
C22.73(D4:2D5) = C2xC4:C4:7D5central extension (φ=1)160C2^2.73(D4:2D5)320,1174
C22.74(D4:2D5) = C2xD10:2Q8central extension (φ=1)160C2^2.74(D4:2D5)320,1181
C22.75(D4:2D5) = C2xC4:C4:D5central extension (φ=1)160C2^2.75(D4:2D5)320,1184
C22.76(D4:2D5) = C2xD4xDic5central extension (φ=1)160C2^2.76(D4:2D5)320,1467
C22.77(D4:2D5) = C2xC23.18D10central extension (φ=1)160C2^2.77(D4:2D5)320,1468
C22.78(D4:2D5) = C2xC20.17D4central extension (φ=1)160C2^2.78(D4:2D5)320,1469
C22.79(D4:2D5) = C2xC20:2D4central extension (φ=1)160C2^2.79(D4:2D5)320,1472
C22.80(D4:2D5) = C2xDic5:D4central extension (φ=1)160C2^2.80(D4:2D5)320,1474
C22.81(D4:2D5) = (C2xDic5):Q8central stem extension (φ=1)320C2^2.81(D4:2D5)320,283
C22.82(D4:2D5) = C2.(C20:Q8)central stem extension (φ=1)320C2^2.82(D4:2D5)320,284
C22.83(D4:2D5) = (C2xDic5).Q8central stem extension (φ=1)320C2^2.83(D4:2D5)320,285
C22.84(D4:2D5) = (C2xC20).28D4central stem extension (φ=1)320C2^2.84(D4:2D5)320,286
C22.85(D4:2D5) = (C2xC4).Dic10central stem extension (φ=1)320C2^2.85(D4:2D5)320,287
C22.86(D4:2D5) = C10.(C4:Q8)central stem extension (φ=1)320C2^2.86(D4:2D5)320,288
C22.87(D4:2D5) = (C22xC4).D10central stem extension (φ=1)320C2^2.87(D4:2D5)320,289
C22.88(D4:2D5) = (C2xC4).20D20central stem extension (φ=1)160C2^2.88(D4:2D5)320,300
C22.89(D4:2D5) = (C2xC4).21D20central stem extension (φ=1)160C2^2.89(D4:2D5)320,301
C22.90(D4:2D5) = C10.(C4:D4)central stem extension (φ=1)160C2^2.90(D4:2D5)320,302
C22.91(D4:2D5) = (C2xC20).33D4central stem extension (φ=1)160C2^2.91(D4:2D5)320,304
C22.92(D4:2D5) = C23:Dic10central stem extension (φ=1)160C2^2.92(D4:2D5)320,574
C22.93(D4:2D5) = C24.6D10central stem extension (φ=1)160C2^2.93(D4:2D5)320,575
C22.94(D4:2D5) = C24.7D10central stem extension (φ=1)160C2^2.94(D4:2D5)320,576
C22.95(D4:2D5) = C24.9D10central stem extension (φ=1)160C2^2.95(D4:2D5)320,579
C22.96(D4:2D5) = C23.14D20central stem extension (φ=1)160C2^2.96(D4:2D5)320,580
C22.97(D4:2D5) = C24.14D10central stem extension (φ=1)160C2^2.97(D4:2D5)320,586
C22.98(D4:2D5) = C24.16D10central stem extension (φ=1)160C2^2.98(D4:2D5)320,588
C22.99(D4:2D5) = (C2xC20).287D4central stem extension (φ=1)320C2^2.99(D4:2D5)320,607
C22.100(D4:2D5) = (C2xC20).288D4central stem extension (φ=1)320C2^2.100(D4:2D5)320,609
C22.101(D4:2D5) = (C2xC20).53D4central stem extension (φ=1)320C2^2.101(D4:2D5)320,610
C22.102(D4:2D5) = (C2xC20).54D4central stem extension (φ=1)320C2^2.102(D4:2D5)320,611
C22.103(D4:2D5) = (C2xC20).55D4central stem extension (φ=1)320C2^2.103(D4:2D5)320,613
C22.104(D4:2D5) = (C2xC20).290D4central stem extension (φ=1)160C2^2.104(D4:2D5)320,620
C22.105(D4:2D5) = (C2xC20).56D4central stem extension (φ=1)160C2^2.105(D4:2D5)320,621
C22.106(D4:2D5) = C24.20D10central stem extension (φ=1)160C2^2.106(D4:2D5)320,849
C22.107(D4:2D5) = C24.21D10central stem extension (φ=1)160C2^2.107(D4:2D5)320,850

׿
x
:
Z
F
o
wr
Q
<