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Extensions 1→N→G→Q→1 with N=C10 and Q=C22.D4

Direct product G=N×Q with N=C10 and Q=C22.D4
dρLabelID
C10×C22.D4160C10xC2^2.D4320,1526

Semidirect products G=N:Q with N=C10 and Q=C22.D4
extensionφ:Q→Aut NdρLabelID
C10⋊1(C22.D4) = C2×D10.12D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10:1(C2^2.D4)320,1160
C10⋊2(C22.D4) = C2×C22.D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10:2(C2^2.D4)320,1164
C10⋊3(C22.D4) = C2×D10.13D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10:3(C2^2.D4)320,1177
C10⋊4(C22.D4) = C2×C23.23D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10:4(C2^2.D4)320,1461
C10⋊5(C22.D4) = C2×C23.18D10φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10:5(C2^2.D4)320,1468

Non-split extensions G=N.Q with N=C10 and Q=C22.D4
extensionφ:Q→Aut NdρLabelID
C10.1(C22.D4) = C10.51(C4×D4)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10320C10.1(C2^2.D4)320,279
C10.2(C22.D4) = C2.(C4×D20)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10320C10.2(C2^2.D4)320,280
C10.3(C22.D4) = C4⋊Dic5⋊15C4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10320C10.3(C2^2.D4)320,281
C10.4(C22.D4) = C2.(C20⋊Q8)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10320C10.4(C2^2.D4)320,284
C10.5(C22.D4) = (C2×Dic5).Q8φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10320C10.5(C2^2.D4)320,285
C10.6(C22.D4) = (C2×C20).28D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10320C10.6(C2^2.D4)320,286
C10.7(C22.D4) = C10.(C4⋊Q8)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10320C10.7(C2^2.D4)320,288
C10.8(C22.D4) = C22.58(D4×D5)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.8(C2^2.D4)320,291
C10.9(C22.D4) = D10⋊3(C4⋊C4)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.9(C2^2.D4)320,295
C10.10(C22.D4) = C10.55(C4×D4)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.10(C2^2.D4)320,297
C10.11(C22.D4) = (C2×C4).21D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.11(C2^2.D4)320,301
C10.12(C22.D4) = C10.(C4⋊D4)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.12(C2^2.D4)320,302
C10.13(C22.D4) = (C2×C20).33D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.13(C2^2.D4)320,304
C10.14(C22.D4) = C23.34D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.14(C2^2.D4)320,348
C10.15(C22.D4) = C23.35D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.15(C2^2.D4)320,349
C10.16(C22.D4) = C23.10D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.16(C2^2.D4)320,350
C10.17(C22.D4) = C23.38D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.17(C2^2.D4)320,362
C10.18(C22.D4) = C22.D40φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.18(C2^2.D4)320,363
C10.19(C22.D4) = C23.13D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.19(C2^2.D4)320,364
C10.20(C22.D4) = D10.12D8φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.20(C2^2.D4)320,401
C10.21(C22.D4) = D10.16SD16φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.21(C2^2.D4)320,404
C10.22(C22.D4) = C40⋊6C4⋊C2φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.22(C2^2.D4)320,406
C10.23(C22.D4) = C40⋊5C4⋊C2φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.23(C2^2.D4)320,411
C10.24(C22.D4) = D10.11SD16φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.24(C2^2.D4)320,432
C10.25(C22.D4) = D10.7Q16φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.25(C2^2.D4)320,436
C10.26(C22.D4) = (C2×C8).D10φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.26(C2^2.D4)320,441
C10.27(C22.D4) = D10⋊1C8.C2φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.27(C2^2.D4)320,442
C10.28(C22.D4) = C24.4D10φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.28(C2^2.D4)320,572
C10.29(C22.D4) = C24.7D10φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.29(C2^2.D4)320,576
C10.30(C22.D4) = C24.47D10φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.30(C2^2.D4)320,577
C10.31(C22.D4) = C24.8D10φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.31(C2^2.D4)320,578
C10.32(C22.D4) = C24.12D10φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.32(C2^2.D4)320,583
C10.33(C22.D4) = C23.45D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.33(C2^2.D4)320,585
C10.34(C22.D4) = C24.14D10φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.34(C2^2.D4)320,586
C10.35(C22.D4) = C24.16D10φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C10160C10.35(C2^2.D4)320,588
C10.36(C22.D4) = C10.52(C4×D4)φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10320C10.36(C2^2.D4)320,282
C10.37(C22.D4) = (C2×C4).Dic10φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10320C10.37(C2^2.D4)320,287
C10.38(C22.D4) = (C2×C4)⋊9D20φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.38(C2^2.D4)320,292
C10.39(C22.D4) = C10.54(C4×D4)φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.39(C2^2.D4)320,296
C10.40(C22.D4) = (C2×Dic5)⋊3D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.40(C2^2.D4)320,299
C10.41(C22.D4) = D10.12SD16φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.41(C2^2.D4)320,489
C10.42(C22.D4) = D10.17SD16φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.42(C2^2.D4)320,490
C10.43(C22.D4) = C4.Q8⋊D5φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.43(C2^2.D4)320,493
C10.44(C22.D4) = C20.(C4○D4)φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.44(C2^2.D4)320,494
C10.45(C22.D4) = D10.13D8φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.45(C2^2.D4)320,509
C10.46(C22.D4) = D10.8Q16φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.46(C2^2.D4)320,511
C10.47(C22.D4) = C2.D8⋊D5φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.47(C2^2.D4)320,512
C10.48(C22.D4) = C2.D8⋊7D5φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.48(C2^2.D4)320,515
C10.49(C22.D4) = C4⋊C4⋊5Dic5φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10320C10.49(C2^2.D4)320,608
C10.50(C22.D4) = (C2×C20).54D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10320C10.50(C2^2.D4)320,611
C10.51(C22.D4) = D10⋊5(C4⋊C4)φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.51(C2^2.D4)320,616
C10.52(C22.D4) = C10.90(C4×D4)φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.52(C2^2.D4)320,617
C10.53(C22.D4) = (C2×C4)⋊3D20φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.53(C2^2.D4)320,618
C10.54(C22.D4) = (C2×C20).289D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C10160C10.54(C2^2.D4)320,619
C10.55(C22.D4) = C10.92(C4×D4)φ: C22.D4/C22×C4 → C2 ⊆ Aut C10320C10.55(C2^2.D4)320,560
C10.56(C22.D4) = (C2×C42)⋊D5φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.56(C2^2.D4)320,567
C10.57(C22.D4) = C24.9D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.57(C2^2.D4)320,579
C10.58(C22.D4) = (C2×C10).40D8φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.58(C2^2.D4)320,594
C10.59(C22.D4) = C4⋊C4.228D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.59(C2^2.D4)320,595
C10.60(C22.D4) = C4⋊C4.230D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.60(C2^2.D4)320,597
C10.61(C22.D4) = C4⋊C4.231D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.61(C2^2.D4)320,598
C10.62(C22.D4) = (C2×C20).287D4φ: C22.D4/C22×C4 → C2 ⊆ Aut C10320C10.62(C2^2.D4)320,607
C10.63(C22.D4) = (C2×C20).288D4φ: C22.D4/C22×C4 → C2 ⊆ Aut C10320C10.63(C2^2.D4)320,609
C10.64(C22.D4) = (C2×C20).290D4φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.64(C2^2.D4)320,620
C10.65(C22.D4) = C4⋊C4.233D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.65(C2^2.D4)320,623
C10.66(C22.D4) = C4⋊C4.236D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.66(C2^2.D4)320,630
C10.67(C22.D4) = C24.62D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.67(C2^2.D4)320,837
C10.68(C22.D4) = C24.63D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.68(C2^2.D4)320,838
C10.69(C22.D4) = C24.65D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C10160C10.69(C2^2.D4)320,840
C10.70(C22.D4) = C23.42D20φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.70(C2^2.D4)320,570
C10.71(C22.D4) = C24.3D10φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.71(C2^2.D4)320,571
C10.72(C22.D4) = C24.46D10φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.72(C2^2.D4)320,573
C10.73(C22.D4) = C23.14D20φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.73(C2^2.D4)320,580
C10.74(C22.D4) = C10.97(C4×D4)φ: C22.D4/C2×D4 → C2 ⊆ Aut C10320C10.74(C2^2.D4)320,605
C10.75(C22.D4) = (C2×C20).53D4φ: C22.D4/C2×D4 → C2 ⊆ Aut C10320C10.75(C2^2.D4)320,610
C10.76(C22.D4) = (C2×C20).55D4φ: C22.D4/C2×D4 → C2 ⊆ Aut C10320C10.76(C2^2.D4)320,613
C10.77(C22.D4) = (C2×C10).D8φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.77(C2^2.D4)320,660
C10.78(C22.D4) = C4⋊D4.D5φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.78(C2^2.D4)320,661
C10.79(C22.D4) = (C2×D4).D10φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.79(C2^2.D4)320,662
C10.80(C22.D4) = C22⋊Q8.D5φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.80(C2^2.D4)320,670
C10.81(C22.D4) = (C2×C10).Q16φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.81(C2^2.D4)320,671
C10.82(C22.D4) = C10.(C4○D8)φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.82(C2^2.D4)320,672
C10.83(C22.D4) = C24.18D10φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.83(C2^2.D4)320,847
C10.84(C22.D4) = C24.20D10φ: C22.D4/C2×D4 → C2 ⊆ Aut C10160C10.84(C2^2.D4)320,849
C10.85(C22.D4) = C5×C23.34D4central extension (φ=1)160C10.85(C2^2.D4)320,882
C10.86(C22.D4) = C5×C23.8Q8central extension (φ=1)160C10.86(C2^2.D4)320,886
C10.87(C22.D4) = C5×C23.23D4central extension (φ=1)160C10.87(C2^2.D4)320,887
C10.88(C22.D4) = C5×C23.63C23central extension (φ=1)320C10.88(C2^2.D4)320,888
C10.89(C22.D4) = C5×C24.C22central extension (φ=1)160C10.89(C2^2.D4)320,889
C10.90(C22.D4) = C5×C23.10D4central extension (φ=1)160C10.90(C2^2.D4)320,895
C10.91(C22.D4) = C5×C23.11D4central extension (φ=1)160C10.91(C2^2.D4)320,898
C10.92(C22.D4) = C5×C23.81C23central extension (φ=1)320C10.92(C2^2.D4)320,899
C10.93(C22.D4) = C5×C23.4Q8central extension (φ=1)160C10.93(C2^2.D4)320,900
C10.94(C22.D4) = C5×C23.83C23central extension (φ=1)320C10.94(C2^2.D4)320,901
C10.95(C22.D4) = C5×C22.D8central extension (φ=1)160C10.95(C2^2.D4)320,981
C10.96(C22.D4) = C5×C23.46D4central extension (φ=1)160C10.96(C2^2.D4)320,982
C10.97(C22.D4) = C5×C23.19D4central extension (φ=1)160C10.97(C2^2.D4)320,983
C10.98(C22.D4) = C5×C23.47D4central extension (φ=1)160C10.98(C2^2.D4)320,984
C10.99(C22.D4) = C5×C23.48D4central extension (φ=1)160C10.99(C2^2.D4)320,985
C10.100(C22.D4) = C5×C23.20D4central extension (φ=1)160C10.100(C2^2.D4)320,986

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