Extensions 1→N→G→Q→1 with N=C23 and Q=C5×D4

Direct product G=N×Q with N=C23 and Q=C5×D4
dρLabelID
D4×C22×C10160D4xC2^2xC10320,1629

Semidirect products G=N:Q with N=C23 and Q=C5×D4
extensionφ:Q→Aut NdρLabelID
C23⋊(C5×D4) = C5×C2≀C22φ: C5×D4/C5D4 ⊆ Aut C23404C2^3:(C5xD4)320,958
C232(C5×D4) = C5×C232D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3:2(C5xD4)320,893
C233(C5×D4) = C5×C233D4φ: C5×D4/C10C22 ⊆ Aut C2380C2^3:3(C5xD4)320,1536
C234(C5×D4) = C10×C4⋊D4φ: C5×D4/C20C2 ⊆ Aut C23160C2^3:4(C5xD4)320,1524
C235(C5×D4) = C10×C22≀C2φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3:5(C5xD4)320,1523

Non-split extensions G=N.Q with N=C23 and Q=C5×D4
extensionφ:Q→Aut NdρLabelID
C23.1(C5×D4) = C5×C2≀C4φ: C5×D4/C5D4 ⊆ Aut C23404C2^3.1(C5xD4)320,156
C23.2(C5×D4) = C5×C23.D4φ: C5×D4/C5D4 ⊆ Aut C23804C2^3.2(C5xD4)320,157
C23.3(C5×D4) = C5×C42⋊C4φ: C5×D4/C5D4 ⊆ Aut C23404C2^3.3(C5xD4)320,158
C23.4(C5×D4) = C5×C423C4φ: C5×D4/C5D4 ⊆ Aut C23804C2^3.4(C5xD4)320,159
C23.5(C5×D4) = C5×D44D4φ: C5×D4/C5D4 ⊆ Aut C23404C2^3.5(C5xD4)320,954
C23.6(C5×D4) = C5×D4.9D4φ: C5×D4/C5D4 ⊆ Aut C23804C2^3.6(C5xD4)320,956
C23.7(C5×D4) = C5×C23.7D4φ: C5×D4/C5D4 ⊆ Aut C23804C2^3.7(C5xD4)320,959
C23.8(C5×D4) = C5×C4.9C42φ: C5×D4/C10C22 ⊆ Aut C23804C2^3.8(C5xD4)320,142
C23.9(C5×D4) = C5×C23.10D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.9(C5xD4)320,895
C23.10(C5×D4) = C5×C23.11D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.10(C5xD4)320,898
C23.11(C5×D4) = C10×C23⋊C4φ: C5×D4/C10C22 ⊆ Aut C2380C2^3.11(C5xD4)320,910
C23.12(C5×D4) = C5×C42⋊C22φ: C5×D4/C10C22 ⊆ Aut C23804C2^3.12(C5xD4)320,922
C23.13(C5×D4) = C5×D4⋊D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.13(C5xD4)320,950
C23.14(C5×D4) = C5×D4.7D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.14(C5xD4)320,953
C23.15(C5×D4) = C5×C8⋊D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.15(C5xD4)320,969
C23.16(C5×D4) = C5×C82D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.16(C5xD4)320,970
C23.17(C5×D4) = C5×C8.D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.17(C5xD4)320,971
C23.18(C5×D4) = C5×C23.19D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.18(C5xD4)320,983
C23.19(C5×D4) = C5×C23.20D4φ: C5×D4/C10C22 ⊆ Aut C23160C2^3.19(C5xD4)320,986
C23.20(C5×D4) = C5×D8⋊C22φ: C5×D4/C10C22 ⊆ Aut C23804C2^3.20(C5xD4)320,1577
C23.21(C5×D4) = C5×C23.7Q8φ: C5×D4/C20C2 ⊆ Aut C23160C2^3.21(C5xD4)320,881
C23.22(C5×D4) = C5×C23.23D4φ: C5×D4/C20C2 ⊆ Aut C23160C2^3.22(C5xD4)320,887
C23.23(C5×D4) = C5×C23.24D4φ: C5×D4/C20C2 ⊆ Aut C23160C2^3.23(C5xD4)320,917
C23.24(C5×D4) = C5×C23.25D4φ: C5×D4/C20C2 ⊆ Aut C23160C2^3.24(C5xD4)320,928
C23.25(C5×D4) = C5×C88D4φ: C5×D4/C20C2 ⊆ Aut C23160C2^3.25(C5xD4)320,966
C23.26(C5×D4) = C5×C87D4φ: C5×D4/C20C2 ⊆ Aut C23160C2^3.26(C5xD4)320,967
C23.27(C5×D4) = C5×C8.18D4φ: C5×D4/C20C2 ⊆ Aut C23160C2^3.27(C5xD4)320,968
C23.28(C5×D4) = C10×C4○D8φ: C5×D4/C20C2 ⊆ Aut C23160C2^3.28(C5xD4)320,1574
C23.29(C5×D4) = C5×C22.SD16φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.29(C5xD4)320,132
C23.30(C5×D4) = C5×C23.31D4φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.30(C5xD4)320,133
C23.31(C5×D4) = C5×C426C4φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.31(C5xD4)320,144
C23.32(C5×D4) = C5×C23.9D4φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.32(C5xD4)320,147
C23.33(C5×D4) = C5×C243C4φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.33(C5xD4)320,880
C23.34(C5×D4) = C5×C23.34D4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.34(C5xD4)320,882
C23.35(C5×D4) = C5×C23.8Q8φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.35(C5xD4)320,886
C23.36(C5×D4) = C5×C23.36D4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.36(C5xD4)320,918
C23.37(C5×D4) = C5×C23.37D4φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.37(C5xD4)320,919
C23.38(C5×D4) = C5×C23.38D4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.38(C5xD4)320,920
C23.39(C5×D4) = C10×C4≀C2φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.39(C5xD4)320,921
C23.40(C5×D4) = C5×M4(2)⋊C4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.40(C5xD4)320,929
C23.41(C5×D4) = C5×C22⋊D8φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.41(C5xD4)320,948
C23.42(C5×D4) = C5×Q8⋊D4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.42(C5xD4)320,949
C23.43(C5×D4) = C5×C22⋊SD16φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.43(C5xD4)320,951
C23.44(C5×D4) = C5×C22⋊Q16φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.44(C5xD4)320,952
C23.45(C5×D4) = C5×C22.D8φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.45(C5xD4)320,981
C23.46(C5×D4) = C5×C23.46D4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.46(C5xD4)320,982
C23.47(C5×D4) = C5×C23.47D4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.47(C5xD4)320,984
C23.48(C5×D4) = C5×C23.48D4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.48(C5xD4)320,985
C23.49(C5×D4) = C10×C22.D4φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.49(C5xD4)320,1526
C23.50(C5×D4) = C10×C8⋊C22φ: C5×D4/C2×C10C2 ⊆ Aut C2380C2^3.50(C5xD4)320,1575
C23.51(C5×D4) = C10×C8.C22φ: C5×D4/C2×C10C2 ⊆ Aut C23160C2^3.51(C5xD4)320,1576
C23.52(C5×D4) = C5×C22.4Q16central extension (φ=1)320C2^3.52(C5xD4)320,145
C23.53(C5×D4) = C10×C2.C42central extension (φ=1)320C2^3.53(C5xD4)320,876
C23.54(C5×D4) = C10×D4⋊C4central extension (φ=1)160C2^3.54(C5xD4)320,915
C23.55(C5×D4) = C10×Q8⋊C4central extension (φ=1)320C2^3.55(C5xD4)320,916
C23.56(C5×D4) = C10×C4.Q8central extension (φ=1)320C2^3.56(C5xD4)320,926
C23.57(C5×D4) = C10×C2.D8central extension (φ=1)320C2^3.57(C5xD4)320,927
C23.58(C5×D4) = C22⋊C4×C2×C10central extension (φ=1)160C2^3.58(C5xD4)320,1514
C23.59(C5×D4) = C4⋊C4×C2×C10central extension (φ=1)320C2^3.59(C5xD4)320,1515
C23.60(C5×D4) = D8×C2×C10central extension (φ=1)160C2^3.60(C5xD4)320,1571
C23.61(C5×D4) = SD16×C2×C10central extension (φ=1)160C2^3.61(C5xD4)320,1572
C23.62(C5×D4) = Q16×C2×C10central extension (φ=1)320C2^3.62(C5xD4)320,1573

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