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Extensions 1→N→G→Q→1 with N=C22 and Q=C23×C6

Direct product G=N×Q with N=C22 and Q=C23×C6
dρLabelID
C25×C6192C2^5xC6192,1543

Semidirect products G=N:Q with N=C22 and Q=C23×C6
extensionφ:Q→Aut NdρLabelID
C22⋊(C23×C6) = A4×C24φ: C23×C6/C24 → C3 ⊆ Aut C2248C2^2:(C2^3xC6)192,1539
C22⋊2(C23×C6) = D4×C22×C6φ: C23×C6/C22×C6 → C2 ⊆ Aut C2296C2^2:2(C2^3xC6)192,1531

Non-split extensions G=N.Q with N=C22 and Q=C23×C6
extensionφ:Q→Aut NdρLabelID
C22.1(C23×C6) = C2×C6×C4○D4φ: C23×C6/C22×C6 → C2 ⊆ Aut C2296C2^2.1(C2^3xC6)192,1533
C22.2(C23×C6) = C6×2+ 1+4φ: C23×C6/C22×C6 → C2 ⊆ Aut C2248C2^2.2(C2^3xC6)192,1534
C22.3(C23×C6) = C6×2- 1+4φ: C23×C6/C22×C6 → C2 ⊆ Aut C2296C2^2.3(C2^3xC6)192,1535
C22.4(C23×C6) = C3×C2.C25φ: C23×C6/C22×C6 → C2 ⊆ Aut C22484C2^2.4(C2^3xC6)192,1536
C22.5(C23×C6) = C2×C6×C22⋊C4central extension (φ=1)96C2^2.5(C2^3xC6)192,1401
C22.6(C23×C6) = C2×C6×C4⋊C4central extension (φ=1)192C2^2.6(C2^3xC6)192,1402
C22.7(C23×C6) = C6×C42⋊C2central extension (φ=1)96C2^2.7(C2^3xC6)192,1403
C22.8(C23×C6) = D4×C2×C12central extension (φ=1)96C2^2.8(C2^3xC6)192,1404
C22.9(C23×C6) = Q8×C2×C12central extension (φ=1)192C2^2.9(C2^3xC6)192,1405
C22.10(C23×C6) = C12×C4○D4central extension (φ=1)96C2^2.10(C2^3xC6)192,1406
C22.11(C23×C6) = C3×C22.11C24central extension (φ=1)48C2^2.11(C2^3xC6)192,1407
C22.12(C23×C6) = C3×C23.32C23central extension (φ=1)96C2^2.12(C2^3xC6)192,1408
C22.13(C23×C6) = C3×C23.33C23central extension (φ=1)96C2^2.13(C2^3xC6)192,1409
C22.14(C23×C6) = Q8×C22×C6central extension (φ=1)192C2^2.14(C2^3xC6)192,1532
C22.15(C23×C6) = C6×C22≀C2central stem extension (φ=1)48C2^2.15(C2^3xC6)192,1410
C22.16(C23×C6) = C6×C4⋊D4central stem extension (φ=1)96C2^2.16(C2^3xC6)192,1411
C22.17(C23×C6) = C6×C22⋊Q8central stem extension (φ=1)96C2^2.17(C2^3xC6)192,1412
C22.18(C23×C6) = C6×C22.D4central stem extension (φ=1)96C2^2.18(C2^3xC6)192,1413
C22.19(C23×C6) = C3×C22.19C24central stem extension (φ=1)48C2^2.19(C2^3xC6)192,1414
C22.20(C23×C6) = C6×C4.4D4central stem extension (φ=1)96C2^2.20(C2^3xC6)192,1415
C22.21(C23×C6) = C6×C42.C2central stem extension (φ=1)192C2^2.21(C2^3xC6)192,1416
C22.22(C23×C6) = C6×C42⋊2C2central stem extension (φ=1)96C2^2.22(C2^3xC6)192,1417
C22.23(C23×C6) = C3×C23.36C23central stem extension (φ=1)96C2^2.23(C2^3xC6)192,1418
C22.24(C23×C6) = C6×C4⋊1D4central stem extension (φ=1)96C2^2.24(C2^3xC6)192,1419
C22.25(C23×C6) = C6×C4⋊Q8central stem extension (φ=1)192C2^2.25(C2^3xC6)192,1420
C22.26(C23×C6) = C3×C22.26C24central stem extension (φ=1)96C2^2.26(C2^3xC6)192,1421
C22.27(C23×C6) = C3×C23.37C23central stem extension (φ=1)96C2^2.27(C2^3xC6)192,1422
C22.28(C23×C6) = C3×C23⋊3D4central stem extension (φ=1)48C2^2.28(C2^3xC6)192,1423
C22.29(C23×C6) = C3×C22.29C24central stem extension (φ=1)48C2^2.29(C2^3xC6)192,1424
C22.30(C23×C6) = C3×C23.38C23central stem extension (φ=1)96C2^2.30(C2^3xC6)192,1425
C22.31(C23×C6) = C3×C22.31C24central stem extension (φ=1)96C2^2.31(C2^3xC6)192,1426
C22.32(C23×C6) = C3×C22.32C24central stem extension (φ=1)48C2^2.32(C2^3xC6)192,1427
C22.33(C23×C6) = C3×C22.33C24central stem extension (φ=1)96C2^2.33(C2^3xC6)192,1428
C22.34(C23×C6) = C3×C22.34C24central stem extension (φ=1)96C2^2.34(C2^3xC6)192,1429
C22.35(C23×C6) = C3×C22.35C24central stem extension (φ=1)96C2^2.35(C2^3xC6)192,1430
C22.36(C23×C6) = C3×C22.36C24central stem extension (φ=1)96C2^2.36(C2^3xC6)192,1431
C22.37(C23×C6) = C3×C23⋊2Q8central stem extension (φ=1)48C2^2.37(C2^3xC6)192,1432
C22.38(C23×C6) = C3×C23.41C23central stem extension (φ=1)96C2^2.38(C2^3xC6)192,1433
C22.39(C23×C6) = C3×D42central stem extension (φ=1)48C2^2.39(C2^3xC6)192,1434
C22.40(C23×C6) = C3×D4⋊5D4central stem extension (φ=1)48C2^2.40(C2^3xC6)192,1435
C22.41(C23×C6) = C3×D4⋊6D4central stem extension (φ=1)96C2^2.41(C2^3xC6)192,1436
C22.42(C23×C6) = C3×Q8⋊5D4central stem extension (φ=1)96C2^2.42(C2^3xC6)192,1437
C22.43(C23×C6) = C3×D4×Q8central stem extension (φ=1)96C2^2.43(C2^3xC6)192,1438
C22.44(C23×C6) = C3×Q8⋊6D4central stem extension (φ=1)96C2^2.44(C2^3xC6)192,1439
C22.45(C23×C6) = C3×C22.45C24central stem extension (φ=1)48C2^2.45(C2^3xC6)192,1440
C22.46(C23×C6) = C3×C22.46C24central stem extension (φ=1)96C2^2.46(C2^3xC6)192,1441
C22.47(C23×C6) = C3×C22.47C24central stem extension (φ=1)96C2^2.47(C2^3xC6)192,1442
C22.48(C23×C6) = C3×D4⋊3Q8central stem extension (φ=1)96C2^2.48(C2^3xC6)192,1443
C22.49(C23×C6) = C3×C22.49C24central stem extension (φ=1)96C2^2.49(C2^3xC6)192,1444
C22.50(C23×C6) = C3×C22.50C24central stem extension (φ=1)96C2^2.50(C2^3xC6)192,1445
C22.51(C23×C6) = C3×Q8⋊3Q8central stem extension (φ=1)192C2^2.51(C2^3xC6)192,1446
C22.52(C23×C6) = C3×Q82central stem extension (φ=1)192C2^2.52(C2^3xC6)192,1447
C22.53(C23×C6) = C3×C22.53C24central stem extension (φ=1)96C2^2.53(C2^3xC6)192,1448
C22.54(C23×C6) = C3×C22.54C24central stem extension (φ=1)48C2^2.54(C2^3xC6)192,1449
C22.55(C23×C6) = C3×C24⋊C22central stem extension (φ=1)48C2^2.55(C2^3xC6)192,1450
C22.56(C23×C6) = C3×C22.56C24central stem extension (φ=1)96C2^2.56(C2^3xC6)192,1451
C22.57(C23×C6) = C3×C22.57C24central stem extension (φ=1)96C2^2.57(C2^3xC6)192,1452
C22.58(C23×C6) = C3×C22.58C24central stem extension (φ=1)192C2^2.58(C2^3xC6)192,1453

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