# Extensions 1→N→G→Q→1 with N=C22 and Q=C23×C10

Direct product G=N×Q with N=C22 and Q=C23×C10
dρLabelID
C25×C10320C2^5xC10320,1640

Semidirect products G=N:Q with N=C22 and Q=C23×C10
extensionφ:Q→Aut NdρLabelID
C22⋊(C23×C10) = D4×C22×C10φ: C23×C10/C22×C10C2 ⊆ Aut C22160C2^2:(C2^3xC10)320,1629

Non-split extensions G=N.Q with N=C22 and Q=C23×C10
extensionφ:Q→Aut NdρLabelID
C22.1(C23×C10) = C4○D4×C2×C10φ: C23×C10/C22×C10C2 ⊆ Aut C22160C2^2.1(C2^3xC10)320,1631
C22.2(C23×C10) = C10×2+ 1+4φ: C23×C10/C22×C10C2 ⊆ Aut C2280C2^2.2(C2^3xC10)320,1632
C22.3(C23×C10) = C10×2- 1+4φ: C23×C10/C22×C10C2 ⊆ Aut C22160C2^2.3(C2^3xC10)320,1633
C22.4(C23×C10) = C5×C2.C25φ: C23×C10/C22×C10C2 ⊆ Aut C22804C2^2.4(C2^3xC10)320,1634
C22.5(C23×C10) = C22⋊C4×C2×C10central extension (φ=1)160C2^2.5(C2^3xC10)320,1514
C22.6(C23×C10) = C4⋊C4×C2×C10central extension (φ=1)320C2^2.6(C2^3xC10)320,1515
C22.7(C23×C10) = C10×C42⋊C2central extension (φ=1)160C2^2.7(C2^3xC10)320,1516
C22.8(C23×C10) = D4×C2×C20central extension (φ=1)160C2^2.8(C2^3xC10)320,1517
C22.9(C23×C10) = Q8×C2×C20central extension (φ=1)320C2^2.9(C2^3xC10)320,1518
C22.10(C23×C10) = C4○D4×C20central extension (φ=1)160C2^2.10(C2^3xC10)320,1519
C22.11(C23×C10) = C5×C22.11C24central extension (φ=1)80C2^2.11(C2^3xC10)320,1520
C22.12(C23×C10) = C5×C23.32C23central extension (φ=1)160C2^2.12(C2^3xC10)320,1521
C22.13(C23×C10) = C5×C23.33C23central extension (φ=1)160C2^2.13(C2^3xC10)320,1522
C22.14(C23×C10) = Q8×C22×C10central extension (φ=1)320C2^2.14(C2^3xC10)320,1630
C22.15(C23×C10) = C10×C22≀C2central stem extension (φ=1)80C2^2.15(C2^3xC10)320,1523
C22.16(C23×C10) = C10×C4⋊D4central stem extension (φ=1)160C2^2.16(C2^3xC10)320,1524
C22.17(C23×C10) = C10×C22⋊Q8central stem extension (φ=1)160C2^2.17(C2^3xC10)320,1525
C22.18(C23×C10) = C10×C22.D4central stem extension (φ=1)160C2^2.18(C2^3xC10)320,1526
C22.19(C23×C10) = C5×C22.19C24central stem extension (φ=1)80C2^2.19(C2^3xC10)320,1527
C22.20(C23×C10) = C10×C4.4D4central stem extension (φ=1)160C2^2.20(C2^3xC10)320,1528
C22.21(C23×C10) = C10×C42.C2central stem extension (φ=1)320C2^2.21(C2^3xC10)320,1529
C22.22(C23×C10) = C10×C422C2central stem extension (φ=1)160C2^2.22(C2^3xC10)320,1530
C22.23(C23×C10) = C5×C23.36C23central stem extension (φ=1)160C2^2.23(C2^3xC10)320,1531
C22.24(C23×C10) = C10×C41D4central stem extension (φ=1)160C2^2.24(C2^3xC10)320,1532
C22.25(C23×C10) = C10×C4⋊Q8central stem extension (φ=1)320C2^2.25(C2^3xC10)320,1533
C22.26(C23×C10) = C5×C22.26C24central stem extension (φ=1)160C2^2.26(C2^3xC10)320,1534
C22.27(C23×C10) = C5×C23.37C23central stem extension (φ=1)160C2^2.27(C2^3xC10)320,1535
C22.28(C23×C10) = C5×C233D4central stem extension (φ=1)80C2^2.28(C2^3xC10)320,1536
C22.29(C23×C10) = C5×C22.29C24central stem extension (φ=1)80C2^2.29(C2^3xC10)320,1537
C22.30(C23×C10) = C5×C23.38C23central stem extension (φ=1)160C2^2.30(C2^3xC10)320,1538
C22.31(C23×C10) = C5×C22.31C24central stem extension (φ=1)160C2^2.31(C2^3xC10)320,1539
C22.32(C23×C10) = C5×C22.32C24central stem extension (φ=1)80C2^2.32(C2^3xC10)320,1540
C22.33(C23×C10) = C5×C22.33C24central stem extension (φ=1)160C2^2.33(C2^3xC10)320,1541
C22.34(C23×C10) = C5×C22.34C24central stem extension (φ=1)160C2^2.34(C2^3xC10)320,1542
C22.35(C23×C10) = C5×C22.35C24central stem extension (φ=1)160C2^2.35(C2^3xC10)320,1543
C22.36(C23×C10) = C5×C22.36C24central stem extension (φ=1)160C2^2.36(C2^3xC10)320,1544
C22.37(C23×C10) = C5×C232Q8central stem extension (φ=1)80C2^2.37(C2^3xC10)320,1545
C22.38(C23×C10) = C5×C23.41C23central stem extension (φ=1)160C2^2.38(C2^3xC10)320,1546
C22.39(C23×C10) = C5×D42central stem extension (φ=1)80C2^2.39(C2^3xC10)320,1547
C22.40(C23×C10) = C5×D45D4central stem extension (φ=1)80C2^2.40(C2^3xC10)320,1548
C22.41(C23×C10) = C5×D46D4central stem extension (φ=1)160C2^2.41(C2^3xC10)320,1549
C22.42(C23×C10) = C5×Q85D4central stem extension (φ=1)160C2^2.42(C2^3xC10)320,1550
C22.43(C23×C10) = C5×D4×Q8central stem extension (φ=1)160C2^2.43(C2^3xC10)320,1551
C22.44(C23×C10) = C5×Q86D4central stem extension (φ=1)160C2^2.44(C2^3xC10)320,1552
C22.45(C23×C10) = C5×C22.45C24central stem extension (φ=1)80C2^2.45(C2^3xC10)320,1553
C22.46(C23×C10) = C5×C22.46C24central stem extension (φ=1)160C2^2.46(C2^3xC10)320,1554
C22.47(C23×C10) = C5×C22.47C24central stem extension (φ=1)160C2^2.47(C2^3xC10)320,1555
C22.48(C23×C10) = C5×D43Q8central stem extension (φ=1)160C2^2.48(C2^3xC10)320,1556
C22.49(C23×C10) = C5×C22.49C24central stem extension (φ=1)160C2^2.49(C2^3xC10)320,1557
C22.50(C23×C10) = C5×C22.50C24central stem extension (φ=1)160C2^2.50(C2^3xC10)320,1558
C22.51(C23×C10) = C5×Q83Q8central stem extension (φ=1)320C2^2.51(C2^3xC10)320,1559
C22.52(C23×C10) = C5×Q82central stem extension (φ=1)320C2^2.52(C2^3xC10)320,1560
C22.53(C23×C10) = C5×C22.53C24central stem extension (φ=1)160C2^2.53(C2^3xC10)320,1561
C22.54(C23×C10) = C5×C22.54C24central stem extension (φ=1)80C2^2.54(C2^3xC10)320,1562
C22.55(C23×C10) = C5×C24⋊C22central stem extension (φ=1)80C2^2.55(C2^3xC10)320,1563
C22.56(C23×C10) = C5×C22.56C24central stem extension (φ=1)160C2^2.56(C2^3xC10)320,1564
C22.57(C23×C10) = C5×C22.57C24central stem extension (φ=1)160C2^2.57(C2^3xC10)320,1565
C22.58(C23×C10) = C5×C22.58C24central stem extension (φ=1)320C2^2.58(C2^3xC10)320,1566

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