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Extensions 1→N→G→Q→1 with N=C22 and Q=C5×C3⋊D4

Direct product G=N×Q with N=C22 and Q=C5×C3⋊D4
dρLabelID
C2×C10×C3⋊D4240C2xC10xC3:D4480,1164

Semidirect products G=N:Q with N=C22 and Q=C5×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C5×C3⋊D4) = C5×A4⋊D4φ: C5×C3⋊D4/C2×C10 → S3 ⊆ Aut C22606C2^2:(C5xC3:D4)480,1023
C22⋊2(C5×C3⋊D4) = C5×C23.14D6φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C22240C2^2:2(C5xC3:D4)480,818
C22⋊3(C5×C3⋊D4) = C5×C23⋊2D6φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C22120C2^2:3(C5xC3:D4)480,816
C22⋊4(C5×C3⋊D4) = C5×C24⋊4S3φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C22120C2^2:4(C5xC3:D4)480,832

Non-split extensions G=N.Q with N=C22 and Q=C5×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C5×C3⋊D4) = C5×Q8.13D6φ: C5×C3⋊D4/C5×Dic3 → C2 ⊆ Aut C222404C2^2.1(C5xC3:D4)480,829
C22.2(C5×C3⋊D4) = C5×C23.7D6φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C221204C2^2.2(C5xC3:D4)480,153
C22.3(C5×C3⋊D4) = C5×Q8⋊3Dic3φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C221204C2^2.3(C5xC3:D4)480,156
C22.4(C5×C3⋊D4) = C5×C23.23D6φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C22240C2^2.4(C5xC3:D4)480,814
C22.5(C5×C3⋊D4) = C5×D4⋊D6φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C221204C2^2.5(C5xC3:D4)480,828
C22.6(C5×C3⋊D4) = C5×Q8.14D6φ: C5×C3⋊D4/S3×C10 → C2 ⊆ Aut C222404C2^2.6(C5xC3:D4)480,830
C22.7(C5×C3⋊D4) = C5×C42⋊4S3φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C221202C2^2.7(C5xC3:D4)480,124
C22.8(C5×C3⋊D4) = C5×C23.6D6φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C221204C2^2.8(C5xC3:D4)480,125
C22.9(C5×C3⋊D4) = C5×C23.28D6φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C22240C2^2.9(C5xC3:D4)480,808
C22.10(C5×C3⋊D4) = C5×D12⋊6C22φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C221204C2^2.10(C5xC3:D4)480,811
C22.11(C5×C3⋊D4) = C5×Q8.11D6φ: C5×C3⋊D4/C2×C30 → C2 ⊆ Aut C222404C2^2.11(C5xC3:D4)480,821
C22.12(C5×C3⋊D4) = C5×C6.Q16central extension (φ=1)480C2^2.12(C5xC3:D4)480,126
C22.13(C5×C3⋊D4) = C5×C12.Q8central extension (φ=1)480C2^2.13(C5xC3:D4)480,127
C22.14(C5×C3⋊D4) = C5×C6.D8central extension (φ=1)240C2^2.14(C5xC3:D4)480,128
C22.15(C5×C3⋊D4) = C5×C6.SD16central extension (φ=1)480C2^2.15(C5xC3:D4)480,129
C22.16(C5×C3⋊D4) = C5×C6.C42central extension (φ=1)480C2^2.16(C5xC3:D4)480,150
C22.17(C5×C3⋊D4) = C5×D4⋊Dic3central extension (φ=1)240C2^2.17(C5xC3:D4)480,151
C22.18(C5×C3⋊D4) = C5×Q8⋊2Dic3central extension (φ=1)480C2^2.18(C5xC3:D4)480,154
C22.19(C5×C3⋊D4) = C10×Dic3⋊C4central extension (φ=1)480C2^2.19(C5xC3:D4)480,802
C22.20(C5×C3⋊D4) = C10×D6⋊C4central extension (φ=1)240C2^2.20(C5xC3:D4)480,806
C22.21(C5×C3⋊D4) = C10×D4⋊S3central extension (φ=1)240C2^2.21(C5xC3:D4)480,810
C22.22(C5×C3⋊D4) = C10×D4.S3central extension (φ=1)240C2^2.22(C5xC3:D4)480,812
C22.23(C5×C3⋊D4) = C10×Q8⋊2S3central extension (φ=1)240C2^2.23(C5xC3:D4)480,820
C22.24(C5×C3⋊D4) = C10×C3⋊Q16central extension (φ=1)480C2^2.24(C5xC3:D4)480,822
C22.25(C5×C3⋊D4) = C10×C6.D4central extension (φ=1)240C2^2.25(C5xC3:D4)480,831

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