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Extensions 1→N→G→Q→1 with N=C24 and Q=C2×C10

Direct product G=N×Q with N=C24 and Q=C2×C10
dρLabelID
C22×C120480C2^2xC120480,934

Semidirect products G=N:Q with N=C24 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C24⋊1(C2×C10) = C5×C8⋊D6φ: C2×C10/C5 → C22 ⊆ Aut C241204C24:1(C2xC10)480,787
C24⋊2(C2×C10) = C5×S3×D8φ: C2×C10/C5 → C22 ⊆ Aut C241204C24:2(C2xC10)480,789
C24⋊3(C2×C10) = C5×Q8⋊3D6φ: C2×C10/C5 → C22 ⊆ Aut C241204C24:3(C2xC10)480,793
C24⋊4(C2×C10) = C5×D8⋊S3φ: C2×C10/C5 → C22 ⊆ Aut C241204C24:4(C2xC10)480,790
C24⋊5(C2×C10) = C5×S3×SD16φ: C2×C10/C5 → C22 ⊆ Aut C241204C24:5(C2xC10)480,792
C24⋊6(C2×C10) = C15×C8⋊C22φ: C2×C10/C5 → C22 ⊆ Aut C241204C24:6(C2xC10)480,941
C24⋊7(C2×C10) = C5×S3×M4(2)φ: C2×C10/C5 → C22 ⊆ Aut C241204C24:7(C2xC10)480,785
C24⋊8(C2×C10) = C10×D24φ: C2×C10/C10 → C2 ⊆ Aut C24240C24:8(C2xC10)480,782
C24⋊9(C2×C10) = C10×C24⋊C2φ: C2×C10/C10 → C2 ⊆ Aut C24240C24:9(C2xC10)480,781
C24⋊10(C2×C10) = D8×C30φ: C2×C10/C10 → C2 ⊆ Aut C24240C24:10(C2xC10)480,937
C24⋊11(C2×C10) = S3×C2×C40φ: C2×C10/C10 → C2 ⊆ Aut C24240C24:11(C2xC10)480,778
C24⋊12(C2×C10) = C10×C8⋊S3φ: C2×C10/C10 → C2 ⊆ Aut C24240C24:12(C2xC10)480,779
C24⋊13(C2×C10) = SD16×C30φ: C2×C10/C10 → C2 ⊆ Aut C24240C24:13(C2xC10)480,938
C24⋊14(C2×C10) = M4(2)×C30φ: C2×C10/C10 → C2 ⊆ Aut C24240C24:14(C2xC10)480,935

Non-split extensions G=N.Q with N=C24 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C24.1(C2×C10) = C5×C8.D6φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.1(C2xC10)480,788
C24.2(C2×C10) = C5×C3⋊D16φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.2(C2xC10)480,145
C24.3(C2×C10) = C5×D8.S3φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.3(C2xC10)480,146
C24.4(C2×C10) = C5×C8.6D6φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.4(C2xC10)480,147
C24.5(C2×C10) = C5×C3⋊Q32φ: C2×C10/C5 → C22 ⊆ Aut C244804C24.5(C2xC10)480,148
C24.6(C2×C10) = C5×D8⋊3S3φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.6(C2xC10)480,791
C24.7(C2×C10) = C5×S3×Q16φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.7(C2xC10)480,796
C24.8(C2×C10) = C5×D24⋊C2φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.8(C2xC10)480,798
C24.9(C2×C10) = C5×D4.D6φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.9(C2xC10)480,794
C24.10(C2×C10) = C5×Q16⋊S3φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.10(C2xC10)480,797
C24.11(C2×C10) = C5×Q8.7D6φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.11(C2xC10)480,795
C24.12(C2×C10) = C15×C8.C22φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.12(C2xC10)480,942
C24.13(C2×C10) = C5×D12.C4φ: C2×C10/C5 → C22 ⊆ Aut C242404C24.13(C2xC10)480,786
C24.14(C2×C10) = C5×D48φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.14(C2xC10)480,118
C24.15(C2×C10) = C5×C48⋊C2φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.15(C2xC10)480,119
C24.16(C2×C10) = C5×Dic24φ: C2×C10/C10 → C2 ⊆ Aut C244802C24.16(C2xC10)480,120
C24.17(C2×C10) = C5×C4○D24φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.17(C2xC10)480,783
C24.18(C2×C10) = C10×Dic12φ: C2×C10/C10 → C2 ⊆ Aut C24480C24.18(C2xC10)480,784
C24.19(C2×C10) = C15×D16φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.19(C2xC10)480,214
C24.20(C2×C10) = C15×SD32φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.20(C2xC10)480,215
C24.21(C2×C10) = C15×Q32φ: C2×C10/C10 → C2 ⊆ Aut C244802C24.21(C2xC10)480,216
C24.22(C2×C10) = Q16×C30φ: C2×C10/C10 → C2 ⊆ Aut C24480C24.22(C2xC10)480,939
C24.23(C2×C10) = S3×C80φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.23(C2xC10)480,116
C24.24(C2×C10) = C5×D6.C8φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.24(C2xC10)480,117
C24.25(C2×C10) = C10×C3⋊C16φ: C2×C10/C10 → C2 ⊆ Aut C24480C24.25(C2xC10)480,130
C24.26(C2×C10) = C5×C12.C8φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.26(C2xC10)480,131
C24.27(C2×C10) = C5×C8○D12φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.27(C2xC10)480,780
C24.28(C2×C10) = C15×C4○D8φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.28(C2xC10)480,940
C24.29(C2×C10) = C15×C8○D4φ: C2×C10/C10 → C2 ⊆ Aut C242402C24.29(C2xC10)480,936
C24.30(C2×C10) = C15×M5(2)central extension (φ=1)2402C24.30(C2xC10)480,213

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