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Extensions 1→N→G→Q→1 with N=C10 and Q=C3×C22⋊C4

Direct product G=N×Q with N=C10 and Q=C3×C22⋊C4
dρLabelID
C22⋊C4×C30240C2^2:C4xC30480,920

Semidirect products G=N:Q with N=C10 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C10⋊(C3×C22⋊C4) = C6×C22⋊F5φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C10120C10:(C3xC2^2:C4)480,1059
C10⋊2(C3×C22⋊C4) = C6×D10⋊C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C10240C10:2(C3xC2^2:C4)480,720
C10⋊3(C3×C22⋊C4) = C6×C23.D5φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C10240C10:3(C3xC2^2:C4)480,745

Non-split extensions G=N.Q with N=C10 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C10.1(C3×C22⋊C4) = C3×D10.D4φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C101204C10.1(C3xC2^2:C4)480,279
C10.2(C3×C22⋊C4) = C3×D10⋊C8φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C10240C10.2(C3xC2^2:C4)480,283
C10.3(C3×C22⋊C4) = C3×Dic5.D4φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C102404C10.3(C3xC2^2:C4)480,285
C10.4(C3×C22⋊C4) = C3×D10.3Q8φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C10120C10.4(C3xC2^2:C4)480,286
C10.5(C3×C22⋊C4) = C3×D20⋊C4φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C101208C10.5(C3xC2^2:C4)480,287
C10.6(C3×C22⋊C4) = C3×D4⋊F5φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C101208C10.6(C3xC2^2:C4)480,288
C10.7(C3×C22⋊C4) = C3×Q8⋊F5φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C101208C10.7(C3xC2^2:C4)480,289
C10.8(C3×C22⋊C4) = C3×Q8⋊2F5φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C101208C10.8(C3xC2^2:C4)480,290
C10.9(C3×C22⋊C4) = C3×C23⋊F5φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C101204C10.9(C3xC2^2:C4)480,291
C10.10(C3×C22⋊C4) = C3×C23.2F5φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C10240C10.10(C3xC2^2:C4)480,292
C10.11(C3×C22⋊C4) = C3×C23.F5φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C101204C10.11(C3xC2^2:C4)480,293
C10.12(C3×C22⋊C4) = C3×D20⋊4C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C101202C10.12(C3xC2^2:C4)480,83
C10.13(C3×C22⋊C4) = C3×C23.1D10φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C101204C10.13(C3xC2^2:C4)480,84
C10.14(C3×C22⋊C4) = C3×D20⋊6C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C10240C10.14(C3xC2^2:C4)480,87
C10.15(C3×C22⋊C4) = C3×C10.Q16φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C10480C10.15(C3xC2^2:C4)480,88
C10.16(C3×C22⋊C4) = C3×C20.44D4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C10480C10.16(C3xC2^2:C4)480,94
C10.17(C3×C22⋊C4) = C3×D10⋊1C8φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C10240C10.17(C3xC2^2:C4)480,98
C10.18(C3×C22⋊C4) = C3×D20⋊5C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C10240C10.18(C3xC2^2:C4)480,99
C10.19(C3×C22⋊C4) = C3×C20.46D4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C101204C10.19(C3xC2^2:C4)480,101
C10.20(C3×C22⋊C4) = C3×C4.12D20φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C102404C10.20(C3xC2^2:C4)480,102
C10.21(C3×C22⋊C4) = C3×D20⋊7C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C101204C10.21(C3xC2^2:C4)480,103
C10.22(C3×C22⋊C4) = C3×C10.10C42φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C10480C10.22(C3xC2^2:C4)480,109
C10.23(C3×C22⋊C4) = C3×C20.55D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C10240C10.23(C3xC2^2:C4)480,108
C10.24(C3×C22⋊C4) = C3×D4⋊Dic5φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C10240C10.24(C3xC2^2:C4)480,110
C10.25(C3×C22⋊C4) = C3×C20.D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C101204C10.25(C3xC2^2:C4)480,111
C10.26(C3×C22⋊C4) = C3×C23⋊Dic5φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C101204C10.26(C3xC2^2:C4)480,112
C10.27(C3×C22⋊C4) = C3×Q8⋊Dic5φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C10480C10.27(C3xC2^2:C4)480,113
C10.28(C3×C22⋊C4) = C3×C20.10D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C102404C10.28(C3xC2^2:C4)480,114
C10.29(C3×C22⋊C4) = C3×D4⋊2Dic5φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C101204C10.29(C3xC2^2:C4)480,115
C10.30(C3×C22⋊C4) = C15×C2.C42central extension (φ=1)480C10.30(C3xC2^2:C4)480,198
C10.31(C3×C22⋊C4) = C15×C22⋊C8central extension (φ=1)240C10.31(C3xC2^2:C4)480,201
C10.32(C3×C22⋊C4) = C15×C23⋊C4central extension (φ=1)1204C10.32(C3xC2^2:C4)480,202
C10.33(C3×C22⋊C4) = C15×C4.D4central extension (φ=1)1204C10.33(C3xC2^2:C4)480,203
C10.34(C3×C22⋊C4) = C15×C4.10D4central extension (φ=1)2404C10.34(C3xC2^2:C4)480,204
C10.35(C3×C22⋊C4) = C15×D4⋊C4central extension (φ=1)240C10.35(C3xC2^2:C4)480,205
C10.36(C3×C22⋊C4) = C15×Q8⋊C4central extension (φ=1)480C10.36(C3xC2^2:C4)480,206
C10.37(C3×C22⋊C4) = C15×C4≀C2central extension (φ=1)1202C10.37(C3xC2^2:C4)480,207

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