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

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

Semidirect products G=N:Q with N=C10 and Q=C2×C24
extensionφ:Q→Aut NdρLabelID
C10⋊1(C2×C24) = C6×D5⋊C8φ: C2×C24/C12 → C4 ⊆ Aut C10240C10:1(C2xC24)480,1047
C10⋊2(C2×C24) = C2×C6×C5⋊C8φ: C2×C24/C2×C6 → C4 ⊆ Aut C10480C10:2(C2xC24)480,1057
C10⋊3(C2×C24) = D5×C2×C24φ: C2×C24/C24 → C2 ⊆ Aut C10240C10:3(C2xC24)480,692
C10⋊4(C2×C24) = C2×C6×C5⋊2C8φ: C2×C24/C2×C12 → C2 ⊆ Aut C10480C10:4(C2xC24)480,713

Non-split extensions G=N.Q with N=C10 and Q=C2×C24
extensionφ:Q→Aut NdρLabelID
C10.1(C2×C24) = C3×D5⋊C16φ: C2×C24/C12 → C4 ⊆ Aut C102404C10.1(C2xC24)480,269
C10.2(C2×C24) = C3×C8.F5φ: C2×C24/C12 → C4 ⊆ Aut C102404C10.2(C2xC24)480,270
C10.3(C2×C24) = C3×D10⋊C8φ: C2×C24/C12 → C4 ⊆ Aut C10240C10.3(C2xC24)480,283
C10.4(C2×C24) = C3×Dic5⋊C8φ: C2×C24/C12 → C4 ⊆ Aut C10480C10.4(C2xC24)480,284
C10.5(C2×C24) = C6×C5⋊C16φ: C2×C24/C2×C6 → C4 ⊆ Aut C10480C10.5(C2xC24)480,277
C10.6(C2×C24) = C3×C20.C8φ: C2×C24/C2×C6 → C4 ⊆ Aut C102404C10.6(C2xC24)480,278
C10.7(C2×C24) = C12×C5⋊C8φ: C2×C24/C2×C6 → C4 ⊆ Aut C10480C10.7(C2xC24)480,280
C10.8(C2×C24) = C3×C20⋊C8φ: C2×C24/C2×C6 → C4 ⊆ Aut C10480C10.8(C2xC24)480,281
C10.9(C2×C24) = C3×C23.2F5φ: C2×C24/C2×C6 → C4 ⊆ Aut C10240C10.9(C2xC24)480,292
C10.10(C2×C24) = D5×C48φ: C2×C24/C24 → C2 ⊆ Aut C102402C10.10(C2xC24)480,75
C10.11(C2×C24) = C3×C80⋊C2φ: C2×C24/C24 → C2 ⊆ Aut C102402C10.11(C2xC24)480,76
C10.12(C2×C24) = Dic5×C24φ: C2×C24/C24 → C2 ⊆ Aut C10480C10.12(C2xC24)480,91
C10.13(C2×C24) = C3×C20.8Q8φ: C2×C24/C24 → C2 ⊆ Aut C10480C10.13(C2xC24)480,92
C10.14(C2×C24) = C3×D10⋊1C8φ: C2×C24/C24 → C2 ⊆ Aut C10240C10.14(C2xC24)480,98
C10.15(C2×C24) = C12×C5⋊2C8φ: C2×C24/C2×C12 → C2 ⊆ Aut C10480C10.15(C2xC24)480,80
C10.16(C2×C24) = C3×C20⋊3C8φ: C2×C24/C2×C12 → C2 ⊆ Aut C10480C10.16(C2xC24)480,82
C10.17(C2×C24) = C6×C5⋊2C16φ: C2×C24/C2×C12 → C2 ⊆ Aut C10480C10.17(C2xC24)480,89
C10.18(C2×C24) = C3×C20.4C8φ: C2×C24/C2×C12 → C2 ⊆ Aut C102402C10.18(C2xC24)480,90
C10.19(C2×C24) = C3×C20.55D4φ: C2×C24/C2×C12 → C2 ⊆ Aut C10240C10.19(C2xC24)480,108
C10.20(C2×C24) = C15×C22⋊C8central extension (φ=1)240C10.20(C2xC24)480,201
C10.21(C2×C24) = C15×C4⋊C8central extension (φ=1)480C10.21(C2xC24)480,208
C10.22(C2×C24) = C15×M5(2)central extension (φ=1)2402C10.22(C2xC24)480,213

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