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Extensions 1→N→G→Q→1 with N=C10 and Q=C22⋊Q8

Direct product G=N×Q with N=C10 and Q=C22⋊Q8
dρLabelID
C10×C22⋊Q8160C10xC2^2:Q8320,1525

Semidirect products G=N:Q with N=C10 and Q=C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C10⋊1(C22⋊Q8) = C2×Dic5.14D4φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10160C10:1(C2^2:Q8)320,1153
C10⋊2(C22⋊Q8) = C2×D10⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10:2(C2^2:Q8)320,1180
C10⋊3(C22⋊Q8) = C2×D10⋊2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10:3(C2^2:Q8)320,1181
C10⋊4(C22⋊Q8) = C2×C20.48D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10:4(C2^2:Q8)320,1456
C10⋊5(C22⋊Q8) = C2×D10⋊3Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10160C10:5(C2^2:Q8)320,1485

Non-split extensions G=N.Q with N=C10 and Q=C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C10.1(C22⋊Q8) = (C2×C20)⋊Q8φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.1(C2^2:Q8)320,273
C10.2(C22⋊Q8) = C10.49(C4×D4)φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.2(C2^2:Q8)320,274
C10.3(C22⋊Q8) = C4⋊Dic5⋊15C4φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.3(C2^2:Q8)320,281
C10.4(C22⋊Q8) = C10.52(C4×D4)φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.4(C2^2:Q8)320,282
C10.5(C22⋊Q8) = (C2×C4).Dic10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.5(C2^2:Q8)320,287
C10.6(C22⋊Q8) = C10.(C4⋊Q8)φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.6(C2^2:Q8)320,288
C10.7(C22⋊Q8) = Dic5.14D8φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10160C10.7(C2^2:Q8)320,386
C10.8(C22⋊Q8) = D4⋊Dic10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10160C10.8(C2^2:Q8)320,388
C10.9(C22⋊Q8) = D4.Dic10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10160C10.9(C2^2:Q8)320,390
C10.10(C22⋊Q8) = D4.2Dic10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10160C10.10(C2^2:Q8)320,393
C10.11(C22⋊Q8) = Q8⋊Dic10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.11(C2^2:Q8)320,418
C10.12(C22⋊Q8) = Dic5.9Q16φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.12(C2^2:Q8)320,421
C10.13(C22⋊Q8) = Q8.Dic10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.13(C2^2:Q8)320,423
C10.14(C22⋊Q8) = Q8.2Dic10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10320C10.14(C2^2:Q8)320,426
C10.15(C22⋊Q8) = C24.44D10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10160C10.15(C2^2:Q8)320,569
C10.16(C22⋊Q8) = C24.46D10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10160C10.16(C2^2:Q8)320,573
C10.17(C22⋊Q8) = C24.47D10φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C10160C10.17(C2^2:Q8)320,577
C10.18(C22⋊Q8) = C10.51(C4×D4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.18(C2^2:Q8)320,279
C10.19(C22⋊Q8) = C2.(C4×D20)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.19(C2^2:Q8)320,280
C10.20(C22⋊Q8) = (C2×Dic5)⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.20(C2^2:Q8)320,283
C10.21(C22⋊Q8) = C2.(C20⋊Q8)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.21(C2^2:Q8)320,284
C10.22(C22⋊Q8) = (C2×Dic5).Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.22(C2^2:Q8)320,285
C10.23(C22⋊Q8) = (C2×C20).28D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.23(C2^2:Q8)320,286
C10.24(C22⋊Q8) = D10⋊2(C4⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.24(C2^2:Q8)320,294
C10.25(C22⋊Q8) = D10⋊3(C4⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.25(C2^2:Q8)320,295
C10.26(C22⋊Q8) = (C2×C4).20D20φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.26(C2^2:Q8)320,300
C10.27(C22⋊Q8) = (C22×D5).Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.27(C2^2:Q8)320,303
C10.28(C22⋊Q8) = (C2×C20).33D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.28(C2^2:Q8)320,304
C10.29(C22⋊Q8) = Dic10.3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.29(C2^2:Q8)320,456
C10.30(C22⋊Q8) = D20⋊3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.30(C2^2:Q8)320,469
C10.31(C22⋊Q8) = D20⋊4Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.31(C2^2:Q8)320,473
C10.32(C22⋊Q8) = D20.3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.32(C2^2:Q8)320,474
C10.33(C22⋊Q8) = C20.7Q16φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.33(C2^2:Q8)320,477
C10.34(C22⋊Q8) = Dic10⋊4Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.34(C2^2:Q8)320,478
C10.35(C22⋊Q8) = Dic10⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.35(C2^2:Q8)320,481
C10.36(C22⋊Q8) = Dic10.Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.36(C2^2:Q8)320,484
C10.37(C22⋊Q8) = D20⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.37(C2^2:Q8)320,497
C10.38(C22⋊Q8) = D20.Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.38(C2^2:Q8)320,498
C10.39(C22⋊Q8) = Dic10⋊2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.39(C2^2:Q8)320,502
C10.40(C22⋊Q8) = Dic10.2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.40(C2^2:Q8)320,504
C10.41(C22⋊Q8) = D20⋊2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.41(C2^2:Q8)320,517
C10.42(C22⋊Q8) = D20.2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.42(C2^2:Q8)320,518
C10.43(C22⋊Q8) = C10.96(C4×D4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.43(C2^2:Q8)320,599
C10.44(C22⋊Q8) = (C2×Dic5)⋊6Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.44(C2^2:Q8)320,601
C10.45(C22⋊Q8) = (C2×C20).287D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.45(C2^2:Q8)320,607
C10.46(C22⋊Q8) = C4⋊C4⋊5Dic5φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.46(C2^2:Q8)320,608
C10.47(C22⋊Q8) = (C2×C20).53D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.47(C2^2:Q8)320,610
C10.48(C22⋊Q8) = C20⋊6(C4⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10320C10.48(C2^2:Q8)320,612
C10.49(C22⋊Q8) = D10⋊5(C4⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.49(C2^2:Q8)320,616
C10.50(C22⋊Q8) = (C2×C20).289D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.50(C2^2:Q8)320,619
C10.51(C22⋊Q8) = (C2×C20).56D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C10160C10.51(C2^2:Q8)320,621
C10.52(C22⋊Q8) = C20⋊7(C4⋊C4)φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.52(C2^2:Q8)320,555
C10.53(C22⋊Q8) = (C2×C20)⋊10Q8φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.53(C2^2:Q8)320,556
C10.54(C22⋊Q8) = C10.92(C4×D4)φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.54(C2^2:Q8)320,560
C10.55(C22⋊Q8) = C23⋊Dic10φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10.55(C2^2:Q8)320,574
C10.56(C22⋊Q8) = C24.6D10φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10.56(C2^2:Q8)320,575
C10.57(C22⋊Q8) = C24.7D10φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10.57(C2^2:Q8)320,576
C10.58(C22⋊Q8) = (C2×C4)⋊Dic10φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.58(C2^2:Q8)320,606
C10.59(C22⋊Q8) = (C2×C20).54D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.59(C2^2:Q8)320,611
C10.60(C22⋊Q8) = (C2×C20).55D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.60(C2^2:Q8)320,613
C10.61(C22⋊Q8) = C20.50D8φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10.61(C2^2:Q8)320,634
C10.62(C22⋊Q8) = C20.38SD16φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10.62(C2^2:Q8)320,635
C10.63(C22⋊Q8) = D4.3Dic10φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10.63(C2^2:Q8)320,636
C10.64(C22⋊Q8) = C20.48SD16φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.64(C2^2:Q8)320,647
C10.65(C22⋊Q8) = C20.23Q16φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.65(C2^2:Q8)320,648
C10.66(C22⋊Q8) = Q8.3Dic10φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10320C10.66(C2^2:Q8)320,649
C10.67(C22⋊Q8) = C24.62D10φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10.67(C2^2:Q8)320,837
C10.68(C22⋊Q8) = C24.64D10φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C10160C10.68(C2^2:Q8)320,839
C10.69(C22⋊Q8) = C20⋊4(C4⋊C4)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10320C10.69(C2^2:Q8)320,600
C10.70(C22⋊Q8) = C10.97(C4×D4)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10320C10.70(C2^2:Q8)320,605
C10.71(C22⋊Q8) = (C2×C20).288D4φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10320C10.71(C2^2:Q8)320,609
C10.72(C22⋊Q8) = D10⋊4(C4⋊C4)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10160C10.72(C2^2:Q8)320,614
C10.73(C22⋊Q8) = Dic10.4Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10320C10.73(C2^2:Q8)320,690
C10.74(C22⋊Q8) = D20.4Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10160C10.74(C2^2:Q8)320,693
C10.75(C22⋊Q8) = D20⋊5Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10160C10.75(C2^2:Q8)320,711
C10.76(C22⋊Q8) = D20⋊6Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10160C10.76(C2^2:Q8)320,714
C10.77(C22⋊Q8) = Dic10⋊5Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10320C10.77(C2^2:Q8)320,718
C10.78(C22⋊Q8) = Dic10⋊6Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10320C10.78(C2^2:Q8)320,721
C10.79(C22⋊Q8) = C10.C22≀C2φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10320C10.79(C2^2:Q8)320,856
C10.80(C22⋊Q8) = (Q8×C10)⋊17C4φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10320C10.80(C2^2:Q8)320,857
C10.81(C22⋊Q8) = (C22×D5)⋊Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C10160C10.81(C2^2:Q8)320,858
C10.82(C22⋊Q8) = C5×C23.7Q8central extension (φ=1)160C10.82(C2^2:Q8)320,881
C10.83(C22⋊Q8) = C5×C23.8Q8central extension (φ=1)160C10.83(C2^2:Q8)320,886
C10.84(C22⋊Q8) = C5×C23.63C23central extension (φ=1)320C10.84(C2^2:Q8)320,888
C10.85(C22⋊Q8) = C5×C23.65C23central extension (φ=1)320C10.85(C2^2:Q8)320,890
C10.86(C22⋊Q8) = C5×C23.67C23central extension (φ=1)320C10.86(C2^2:Q8)320,892
C10.87(C22⋊Q8) = C5×C23⋊Q8central extension (φ=1)160C10.87(C2^2:Q8)320,894
C10.88(C22⋊Q8) = C5×C23.78C23central extension (φ=1)320C10.88(C2^2:Q8)320,896
C10.89(C22⋊Q8) = C5×C23.Q8central extension (φ=1)160C10.89(C2^2:Q8)320,897
C10.90(C22⋊Q8) = C5×C23.81C23central extension (φ=1)320C10.90(C2^2:Q8)320,899
C10.91(C22⋊Q8) = C5×C23.4Q8central extension (φ=1)160C10.91(C2^2:Q8)320,900
C10.92(C22⋊Q8) = C5×C23.83C23central extension (φ=1)320C10.92(C2^2:Q8)320,901
C10.93(C22⋊Q8) = C5×D4⋊Q8central extension (φ=1)160C10.93(C2^2:Q8)320,975
C10.94(C22⋊Q8) = C5×Q8⋊Q8central extension (φ=1)320C10.94(C2^2:Q8)320,976
C10.95(C22⋊Q8) = C5×D4⋊2Q8central extension (φ=1)160C10.95(C2^2:Q8)320,977
C10.96(C22⋊Q8) = C5×C4.Q16central extension (φ=1)320C10.96(C2^2:Q8)320,978
C10.97(C22⋊Q8) = C5×D4.Q8central extension (φ=1)160C10.97(C2^2:Q8)320,979
C10.98(C22⋊Q8) = C5×Q8.Q8central extension (φ=1)320C10.98(C2^2:Q8)320,980

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