Extensions 1→N→G→Q→1 with N=C2 and Q=C5x2+ 1+4

Direct product G=NxQ with N=C2 and Q=C5x2+ 1+4
dρLabelID
C10x2+ 1+480C10xES+(2,2)320,1632


Non-split extensions G=N.Q with N=C2 and Q=C5x2+ 1+4
extensionφ:Q→Aut NdρLabelID
C2.1(C5x2+ 1+4) = C5xC22.11C24central extension (φ=1)80C2.1(C5xES+(2,2))320,1520
C2.2(C5x2+ 1+4) = C5xC23.33C23central extension (φ=1)160C2.2(C5xES+(2,2))320,1522
C2.3(C5x2+ 1+4) = C5xC23:3D4central stem extension (φ=1)80C2.3(C5xES+(2,2))320,1536
C2.4(C5x2+ 1+4) = C5xC22.29C24central stem extension (φ=1)80C2.4(C5xES+(2,2))320,1537
C2.5(C5x2+ 1+4) = C5xC22.31C24central stem extension (φ=1)160C2.5(C5xES+(2,2))320,1539
C2.6(C5x2+ 1+4) = C5xC22.32C24central stem extension (φ=1)80C2.6(C5xES+(2,2))320,1540
C2.7(C5x2+ 1+4) = C5xC22.33C24central stem extension (φ=1)160C2.7(C5xES+(2,2))320,1541
C2.8(C5x2+ 1+4) = C5xC22.34C24central stem extension (φ=1)160C2.8(C5xES+(2,2))320,1542
C2.9(C5x2+ 1+4) = C5xC22.36C24central stem extension (φ=1)160C2.9(C5xES+(2,2))320,1544
C2.10(C5x2+ 1+4) = C5xC23:2Q8central stem extension (φ=1)80C2.10(C5xES+(2,2))320,1545
C2.11(C5x2+ 1+4) = C5xC23.41C23central stem extension (φ=1)160C2.11(C5xES+(2,2))320,1546
C2.12(C5x2+ 1+4) = C5xD42central stem extension (φ=1)80C2.12(C5xES+(2,2))320,1547
C2.13(C5x2+ 1+4) = C5xD4:5D4central stem extension (φ=1)80C2.13(C5xES+(2,2))320,1548
C2.14(C5x2+ 1+4) = C5xQ8:6D4central stem extension (φ=1)160C2.14(C5xES+(2,2))320,1552
C2.15(C5x2+ 1+4) = C5xC22.45C24central stem extension (φ=1)80C2.15(C5xES+(2,2))320,1553
C2.16(C5x2+ 1+4) = C5xC22.47C24central stem extension (φ=1)160C2.16(C5xES+(2,2))320,1555
C2.17(C5x2+ 1+4) = C5xD4:3Q8central stem extension (φ=1)160C2.17(C5xES+(2,2))320,1556
C2.18(C5x2+ 1+4) = C5xC22.49C24central stem extension (φ=1)160C2.18(C5xES+(2,2))320,1557
C2.19(C5x2+ 1+4) = C5xQ82central stem extension (φ=1)320C2.19(C5xES+(2,2))320,1560
C2.20(C5x2+ 1+4) = C5xC22.53C24central stem extension (φ=1)160C2.20(C5xES+(2,2))320,1561
C2.21(C5x2+ 1+4) = C5xC22.54C24central stem extension (φ=1)80C2.21(C5xES+(2,2))320,1562
C2.22(C5x2+ 1+4) = C5xC24:C22central stem extension (φ=1)80C2.22(C5xES+(2,2))320,1563
C2.23(C5x2+ 1+4) = C5xC22.56C24central stem extension (φ=1)160C2.23(C5xES+(2,2))320,1564
C2.24(C5x2+ 1+4) = C5xC22.57C24central stem extension (φ=1)160C2.24(C5xES+(2,2))320,1565

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