Extensions 1→N→G→Q→1 with N=C2 and Q=C22xC22:C4

Direct product G=NxQ with N=C2 and Q=C22xC22:C4
dρLabelID
C23xC22:C464C2^3xC2^2:C4128,2151


Non-split extensions G=N.Q with N=C2 and Q=C22xC22:C4
extensionφ:Q→Aut NdρLabelID
C2.1(C22xC22:C4) = C22xC2.C42central extension (φ=1)128C2.1(C2^2xC2^2:C4)128,998
C2.2(C22xC22:C4) = C2xC4xC22:C4central extension (φ=1)64C2.2(C2^2xC2^2:C4)128,1000
C2.3(C22xC22:C4) = C22xC22:C8central extension (φ=1)64C2.3(C2^2xC2^2:C4)128,1608
C2.4(C22xC22:C4) = C2xC24:3C4central stem extension (φ=1)32C2.4(C2^2xC2^2:C4)128,1009
C2.5(C22xC22:C4) = C2xC23.7Q8central stem extension (φ=1)64C2.5(C2^2xC2^2:C4)128,1010
C2.6(C22xC22:C4) = C2xC23.34D4central stem extension (φ=1)64C2.6(C2^2xC2^2:C4)128,1011
C2.7(C22xC22:C4) = C25.85C22central stem extension (φ=1)32C2.7(C2^2xC2^2:C4)128,1012
C2.8(C22xC22:C4) = C2xC23.23D4central stem extension (φ=1)64C2.8(C2^2xC2^2:C4)128,1019
C2.9(C22xC22:C4) = C2xC24.3C22central stem extension (φ=1)64C2.9(C2^2xC2^2:C4)128,1024
C2.10(C22xC22:C4) = C2xC23.67C23central stem extension (φ=1)128C2.10(C2^2xC2^2:C4)128,1026
C2.11(C22xC22:C4) = C23.179C24central stem extension (φ=1)64C2.11(C2^2xC2^2:C4)128,1029
C2.12(C22xC22:C4) = C24.90D4central stem extension (φ=1)32C2.12(C2^2xC2^2:C4)128,1040
C2.13(C22xC22:C4) = C23.191C24central stem extension (φ=1)32C2.13(C2^2xC2^2:C4)128,1041
C2.14(C22xC22:C4) = C23.192C24central stem extension (φ=1)64C2.14(C2^2xC2^2:C4)128,1042
C2.15(C22xC22:C4) = C24.542C23central stem extension (φ=1)64C2.15(C2^2xC2^2:C4)128,1043
C2.16(C22xC22:C4) = D4xC22:C4central stem extension (φ=1)32C2.16(C2^2xC2^2:C4)128,1070
C2.17(C22xC22:C4) = C24.549C23central stem extension (φ=1)64C2.17(C2^2xC2^2:C4)128,1071
C2.18(C22xC22:C4) = Q8xC22:C4central stem extension (φ=1)64C2.18(C2^2xC2^2:C4)128,1072
C2.19(C22xC22:C4) = C23.223C24central stem extension (φ=1)64C2.19(C2^2xC2^2:C4)128,1073
C2.20(C22xC22:C4) = C2xC24.4C4central stem extension (φ=1)32C2.20(C2^2xC2^2:C4)128,1609
C2.21(C22xC22:C4) = C2x(C22xC8):C2central stem extension (φ=1)64C2.21(C2^2xC2^2:C4)128,1610
C2.22(C22xC22:C4) = C24.73(C2xC4)central stem extension (φ=1)32C2.22(C2^2xC2^2:C4)128,1611
C2.23(C22xC22:C4) = D4o(C22:C8)central stem extension (φ=1)32C2.23(C2^2xC2^2:C4)128,1612
C2.24(C22xC22:C4) = C22xC23:C4central stem extension (φ=1)32C2.24(C2^2xC2^2:C4)128,1613
C2.25(C22xC22:C4) = C2xC23.C23central stem extension (φ=1)32C2.25(C2^2xC2^2:C4)128,1614
C2.26(C22xC22:C4) = C23.C24central stem extension (φ=1)168+C2.26(C2^2xC2^2:C4)128,1615
C2.27(C22xC22:C4) = C23.4C24central stem extension (φ=1)328-C2.27(C2^2xC2^2:C4)128,1616
C2.28(C22xC22:C4) = C22xC4.D4central stem extension (φ=1)32C2.28(C2^2xC2^2:C4)128,1617
C2.29(C22xC22:C4) = C22xC4.10D4central stem extension (φ=1)64C2.29(C2^2xC2^2:C4)128,1618
C2.30(C22xC22:C4) = C2xM4(2).8C22central stem extension (φ=1)32C2.30(C2^2xC2^2:C4)128,1619
C2.31(C22xC22:C4) = M4(2).24C23central stem extension (φ=1)168+C2.31(C2^2xC2^2:C4)128,1620
C2.32(C22xC22:C4) = M4(2).25C23central stem extension (φ=1)328-C2.32(C2^2xC2^2:C4)128,1621
C2.33(C22xC22:C4) = C22xD4:C4central stem extension (φ=1)64C2.33(C2^2xC2^2:C4)128,1622
C2.34(C22xC22:C4) = C22xQ8:C4central stem extension (φ=1)128C2.34(C2^2xC2^2:C4)128,1623
C2.35(C22xC22:C4) = C2xC23.24D4central stem extension (φ=1)64C2.35(C2^2xC2^2:C4)128,1624
C2.36(C22xC22:C4) = C2xC23.37D4central stem extension (φ=1)32C2.36(C2^2xC2^2:C4)128,1625
C2.37(C22xC22:C4) = C2xC23.38D4central stem extension (φ=1)64C2.37(C2^2xC2^2:C4)128,1626
C2.38(C22xC22:C4) = C2xC23.36D4central stem extension (φ=1)64C2.38(C2^2xC2^2:C4)128,1627
C2.39(C22xC22:C4) = C24.98D4central stem extension (φ=1)32C2.39(C2^2xC2^2:C4)128,1628
C2.40(C22xC22:C4) = 2+ 1+4:5C4central stem extension (φ=1)32C2.40(C2^2xC2^2:C4)128,1629
C2.41(C22xC22:C4) = 2- 1+4:4C4central stem extension (φ=1)64C2.41(C2^2xC2^2:C4)128,1630
C2.42(C22xC22:C4) = C22xC4wrC2central stem extension (φ=1)32C2.42(C2^2xC2^2:C4)128,1631
C2.43(C22xC22:C4) = C2xC42:C22central stem extension (φ=1)32C2.43(C2^2xC2^2:C4)128,1632
C2.44(C22xC22:C4) = 2- 1+4:5C4central stem extension (φ=1)164C2.44(C2^2xC2^2:C4)128,1633

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