Extensions 1→N→G→Q→1 with N=C22 and Q=C22xDic5

Direct product G=NxQ with N=C22 and Q=C22xDic5
dρLabelID
C24xDic5320C2^4xDic5320,1626

Semidirect products G=N:Q with N=C22 and Q=C22xDic5
extensionφ:Q→Aut NdρLabelID
C22:1(C22xDic5) = C2xD4xDic5φ: C22xDic5/C2xDic5C2 ⊆ Aut C22160C2^2:1(C2^2xDic5)320,1467
C22:2(C22xDic5) = C22xC23.D5φ: C22xDic5/C22xC10C2 ⊆ Aut C22160C2^2:2(C2^2xDic5)320,1511

Non-split extensions G=N.Q with N=C22 and Q=C22xDic5
extensionφ:Q→Aut NdρLabelID
C22.1(C22xDic5) = C24.38D10φ: C22xDic5/C2xDic5C2 ⊆ Aut C2280C2^2.1(C2^2xDic5)320,1470
C22.2(C22xDic5) = C20.76C24φ: C22xDic5/C2xDic5C2 ⊆ Aut C22804C2^2.2(C2^2xDic5)320,1491
C22.3(C22xDic5) = C4oD4xDic5φ: C22xDic5/C2xDic5C2 ⊆ Aut C22160C2^2.3(C2^2xDic5)320,1498
C22.4(C22xDic5) = C10.1062- 1+4φ: C22xDic5/C2xDic5C2 ⊆ Aut C22160C2^2.4(C2^2xDic5)320,1499
C22.5(C22xDic5) = C2xC20.D4φ: C22xDic5/C22xC10C2 ⊆ Aut C2280C2^2.5(C2^2xDic5)320,843
C22.6(C22xDic5) = C2xC23:Dic5φ: C22xDic5/C22xC10C2 ⊆ Aut C2280C2^2.6(C2^2xDic5)320,846
C22.7(C22xDic5) = C2xC20.10D4φ: C22xDic5/C22xC10C2 ⊆ Aut C22160C2^2.7(C2^2xDic5)320,853
C22.8(C22xDic5) = (D4xC10).29C4φ: C22xDic5/C22xC10C2 ⊆ Aut C22804C2^2.8(C2^2xDic5)320,864
C22.9(C22xDic5) = (D4xC10):22C4φ: C22xDic5/C22xC10C2 ⊆ Aut C22804C2^2.9(C2^2xDic5)320,867
C22.10(C22xDic5) = C10.422- 1+4φ: C22xDic5/C22xC10C2 ⊆ Aut C22160C2^2.10(C2^2xDic5)320,1484
C22.11(C22xDic5) = C2xC4xC5:2C8central extension (φ=1)320C2^2.11(C2^2xDic5)320,547
C22.12(C22xDic5) = C2xC42.D5central extension (φ=1)320C2^2.12(C2^2xDic5)320,548
C22.13(C22xDic5) = C4xC4.Dic5central extension (φ=1)160C2^2.13(C2^2xDic5)320,549
C22.14(C22xDic5) = C2xC20:3C8central extension (φ=1)320C2^2.14(C2^2xDic5)320,550
C22.15(C22xDic5) = C42.6Dic5central extension (φ=1)160C2^2.15(C2^2xDic5)320,552
C22.16(C22xDic5) = C42xDic5central extension (φ=1)320C2^2.16(C2^2xDic5)320,557
C22.17(C22xDic5) = C42:4Dic5central extension (φ=1)320C2^2.17(C2^2xDic5)320,559
C22.18(C22xDic5) = C4xC4:Dic5central extension (φ=1)320C2^2.18(C2^2xDic5)320,561
C22.19(C22xDic5) = C22:C4xDic5central extension (φ=1)160C2^2.19(C2^2xDic5)320,568
C22.20(C22xDic5) = C4:C4xDic5central extension (φ=1)320C2^2.20(C2^2xDic5)320,602
C22.21(C22xDic5) = C20.35C42central extension (φ=1)160C2^2.21(C2^2xDic5)320,624
C22.22(C22xDic5) = D4xC5:2C8central extension (φ=1)160C2^2.22(C2^2xDic5)320,637
C22.23(C22xDic5) = Q8xC5:2C8central extension (φ=1)320C2^2.23(C2^2xDic5)320,650
C22.24(C22xDic5) = C2xC20.55D4central extension (φ=1)160C2^2.24(C2^2xDic5)320,833
C22.25(C22xDic5) = C2xC10.10C42central extension (φ=1)320C2^2.25(C2^2xDic5)320,835
C22.26(C22xDic5) = C4xC23.D5central extension (φ=1)160C2^2.26(C2^2xDic5)320,836
C22.27(C22xDic5) = C23xC5:2C8central extension (φ=1)320C2^2.27(C2^2xDic5)320,1452
C22.28(C22xDic5) = C22xC4.Dic5central extension (φ=1)160C2^2.28(C2^2xDic5)320,1453
C22.29(C22xDic5) = C22xC4xDic5central extension (φ=1)320C2^2.29(C2^2xDic5)320,1454
C22.30(C22xDic5) = C22xC4:Dic5central extension (φ=1)320C2^2.30(C2^2xDic5)320,1457
C22.31(C22xDic5) = C2xC23.21D10central extension (φ=1)160C2^2.31(C2^2xDic5)320,1458
C22.32(C22xDic5) = C2xQ8xDic5central extension (φ=1)320C2^2.32(C2^2xDic5)320,1483
C22.33(C22xDic5) = C2xD4.Dic5central extension (φ=1)160C2^2.33(C2^2xDic5)320,1490
C22.34(C22xDic5) = C20:13M4(2)central stem extension (φ=1)160C2^2.34(C2^2xDic5)320,551
C22.35(C22xDic5) = C42.7Dic5central stem extension (φ=1)160C2^2.35(C2^2xDic5)320,553
C22.36(C22xDic5) = C42:8Dic5central stem extension (φ=1)320C2^2.36(C2^2xDic5)320,562
C22.37(C22xDic5) = C42:9Dic5central stem extension (φ=1)320C2^2.37(C2^2xDic5)320,563
C22.38(C22xDic5) = C42:5Dic5central stem extension (φ=1)320C2^2.38(C2^2xDic5)320,564
C22.39(C22xDic5) = C24.47D10central stem extension (φ=1)160C2^2.39(C2^2xDic5)320,577
C22.40(C22xDic5) = C24.8D10central stem extension (φ=1)160C2^2.40(C2^2xDic5)320,578
C22.41(C22xDic5) = C4:C4:5Dic5central stem extension (φ=1)320C2^2.41(C2^2xDic5)320,608
C22.42(C22xDic5) = C20:6(C4:C4)central stem extension (φ=1)320C2^2.42(C2^2xDic5)320,612
C22.43(C22xDic5) = C42.43D10central stem extension (φ=1)160C2^2.43(C2^2xDic5)320,626
C22.44(C22xDic5) = C42.187D10central stem extension (φ=1)160C2^2.44(C2^2xDic5)320,627
C22.45(C22xDic5) = C42.47D10central stem extension (φ=1)160C2^2.45(C2^2xDic5)320,638
C22.46(C22xDic5) = C20:7M4(2)central stem extension (φ=1)160C2^2.46(C2^2xDic5)320,639
C22.47(C22xDic5) = C42.210D10central stem extension (φ=1)320C2^2.47(C2^2xDic5)320,651
C22.48(C22xDic5) = C24.4Dic5central stem extension (φ=1)80C2^2.48(C2^2xDic5)320,834
C22.49(C22xDic5) = C24.63D10central stem extension (φ=1)160C2^2.49(C2^2xDic5)320,838
C22.50(C22xDic5) = C24.64D10central stem extension (φ=1)160C2^2.50(C2^2xDic5)320,839
C22.51(C22xDic5) = C24.18D10central stem extension (φ=1)160C2^2.51(C2^2xDic5)320,847
C22.52(C22xDic5) = C24.19D10central stem extension (φ=1)160C2^2.52(C2^2xDic5)320,848
C22.53(C22xDic5) = (Q8xC10):17C4central stem extension (φ=1)320C2^2.53(C2^2xDic5)320,857
C22.54(C22xDic5) = (D4xC10).24C4central stem extension (φ=1)160C2^2.54(C2^2xDic5)320,861
C22.55(C22xDic5) = C25.2D5central stem extension (φ=1)80C2^2.55(C2^2xDic5)320,874

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