Extensions 1→N→G→Q→1 with N=C2 and Q=D4×C2×C10

Direct product G=N×Q with N=C2 and Q=D4×C2×C10
dρLabelID
D4×C22×C10160D4xC2^2xC10320,1629


Non-split extensions G=N.Q with N=C2 and Q=D4×C2×C10
extensionφ:Q→Aut NdρLabelID
C2.1(D4×C2×C10) = C22⋊C4×C2×C10central extension (φ=1)160C2.1(D4xC2xC10)320,1514
C2.2(D4×C2×C10) = C4⋊C4×C2×C10central extension (φ=1)320C2.2(D4xC2xC10)320,1515
C2.3(D4×C2×C10) = D4×C2×C20central extension (φ=1)160C2.3(D4xC2xC10)320,1517
C2.4(D4×C2×C10) = C10×C22≀C2central stem extension (φ=1)80C2.4(D4xC2xC10)320,1523
C2.5(D4×C2×C10) = C10×C4⋊D4central stem extension (φ=1)160C2.5(D4xC2xC10)320,1524
C2.6(D4×C2×C10) = C10×C22⋊Q8central stem extension (φ=1)160C2.6(D4xC2xC10)320,1525
C2.7(D4×C2×C10) = C10×C22.D4central stem extension (φ=1)160C2.7(D4xC2xC10)320,1526
C2.8(D4×C2×C10) = C5×C22.19C24central stem extension (φ=1)80C2.8(D4xC2xC10)320,1527
C2.9(D4×C2×C10) = C10×C4.4D4central stem extension (φ=1)160C2.9(D4xC2xC10)320,1528
C2.10(D4×C2×C10) = C10×C41D4central stem extension (φ=1)160C2.10(D4xC2xC10)320,1532
C2.11(D4×C2×C10) = C10×C4⋊Q8central stem extension (φ=1)320C2.11(D4xC2xC10)320,1533
C2.12(D4×C2×C10) = C5×C22.26C24central stem extension (φ=1)160C2.12(D4xC2xC10)320,1534
C2.13(D4×C2×C10) = C5×C233D4central stem extension (φ=1)80C2.13(D4xC2xC10)320,1536
C2.14(D4×C2×C10) = C5×C22.29C24central stem extension (φ=1)80C2.14(D4xC2xC10)320,1537
C2.15(D4×C2×C10) = C5×C23.38C23central stem extension (φ=1)160C2.15(D4xC2xC10)320,1538
C2.16(D4×C2×C10) = C5×C22.31C24central stem extension (φ=1)160C2.16(D4xC2xC10)320,1539
C2.17(D4×C2×C10) = C5×D42central stem extension (φ=1)80C2.17(D4xC2xC10)320,1547
C2.18(D4×C2×C10) = C5×D45D4central stem extension (φ=1)80C2.18(D4xC2xC10)320,1548
C2.19(D4×C2×C10) = C5×D46D4central stem extension (φ=1)160C2.19(D4xC2xC10)320,1549
C2.20(D4×C2×C10) = C5×Q85D4central stem extension (φ=1)160C2.20(D4xC2xC10)320,1550
C2.21(D4×C2×C10) = C5×D4×Q8central stem extension (φ=1)160C2.21(D4xC2xC10)320,1551
C2.22(D4×C2×C10) = C5×Q86D4central stem extension (φ=1)160C2.22(D4xC2xC10)320,1552
C2.23(D4×C2×C10) = D8×C2×C10central stem extension (φ=1)160C2.23(D4xC2xC10)320,1571
C2.24(D4×C2×C10) = SD16×C2×C10central stem extension (φ=1)160C2.24(D4xC2xC10)320,1572
C2.25(D4×C2×C10) = Q16×C2×C10central stem extension (φ=1)320C2.25(D4xC2xC10)320,1573
C2.26(D4×C2×C10) = C10×C4○D8central stem extension (φ=1)160C2.26(D4xC2xC10)320,1574
C2.27(D4×C2×C10) = C10×C8⋊C22central stem extension (φ=1)80C2.27(D4xC2xC10)320,1575
C2.28(D4×C2×C10) = C10×C8.C22central stem extension (φ=1)160C2.28(D4xC2xC10)320,1576
C2.29(D4×C2×C10) = C5×D8⋊C22central stem extension (φ=1)804C2.29(D4xC2xC10)320,1577
C2.30(D4×C2×C10) = C5×D4○D8central stem extension (φ=1)804C2.30(D4xC2xC10)320,1578
C2.31(D4×C2×C10) = C5×D4○SD16central stem extension (φ=1)804C2.31(D4xC2xC10)320,1579
C2.32(D4×C2×C10) = C5×Q8○D8central stem extension (φ=1)1604C2.32(D4xC2xC10)320,1580

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