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Extensions 1→N→G→Q→1 with N=C22 and Q=C5⋊D12

Direct product G=N×Q with N=C22 and Q=C5⋊D12
dρLabelID
C22×C5⋊D12240C2^2xC5:D12480,1120

Semidirect products G=N:Q with N=C22 and Q=C5⋊D12
extensionφ:Q→Aut NdρLabelID
C22⋊(C5⋊D12) = Dic5⋊S4φ: C5⋊D12/Dic5 → S3 ⊆ Aut C22606C2^2:(C5:D12)480,978
C22⋊2(C5⋊D12) = (C2×C10)⋊4D12φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C22240C2^2:2(C5:D12)480,642
C22⋊3(C5⋊D12) = (C2×C10)⋊11D12φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C22120C2^2:3(C5:D12)480,646
C22⋊4(C5⋊D12) = D30⋊19D4φ: C5⋊D12/D30 → C2 ⊆ Aut C22120C2^2:4(C5:D12)480,649

Non-split extensions G=N.Q with N=C22 and Q=C5⋊D12
extensionφ:Q→Aut NdρLabelID
C22.1(C5⋊D12) = C20.60D12φ: C5⋊D12/C3×Dic5 → C2 ⊆ Aut C222404C2^2.1(C5:D12)480,379
C22.2(C5⋊D12) = D60⋊13C4φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C221204C2^2.2(C5:D12)480,56
C22.3(C5⋊D12) = C15⋊9(C23⋊C4)φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C221204C2^2.3(C5:D12)480,73
C22.4(C5⋊D12) = D60⋊36C22φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C221204C2^2.4(C5:D12)480,380
C22.5(C5⋊D12) = C20.D12φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C222404C2^2.5(C5:D12)480,397
C22.6(C5⋊D12) = C10.(C2×D12)φ: C5⋊D12/S3×C10 → C2 ⊆ Aut C22240C2^2.6(C5:D12)480,618
C22.7(C5⋊D12) = C60.98D4φ: C5⋊D12/D30 → C2 ⊆ Aut C221204C2^2.7(C5:D12)480,54
C22.8(C5⋊D12) = C15⋊8(C23⋊C4)φ: C5⋊D12/D30 → C2 ⊆ Aut C221204C2^2.8(C5:D12)480,72
C22.9(C5⋊D12) = C60.38D4φ: C5⋊D12/D30 → C2 ⊆ Aut C221204+C2^2.9(C5:D12)480,381
C22.10(C5⋊D12) = D12.33D10φ: C5⋊D12/D30 → C2 ⊆ Aut C222404-C2^2.10(C5:D12)480,398
C22.11(C5⋊D12) = (C2×C10).D12φ: C5⋊D12/D30 → C2 ⊆ Aut C22240C2^2.11(C5:D12)480,619
C22.12(C5⋊D12) = C10.D24central extension (φ=1)240C2^2.12(C5:D12)480,43
C22.13(C5⋊D12) = D60⋊15C4central extension (φ=1)240C2^2.13(C5:D12)480,45
C22.14(C5⋊D12) = C10.Dic12central extension (φ=1)480C2^2.14(C5:D12)480,49
C22.15(C5⋊D12) = Dic30⋊15C4central extension (φ=1)480C2^2.15(C5:D12)480,51
C22.16(C5⋊D12) = C60.7Q8central extension (φ=1)480C2^2.16(C5:D12)480,61
C22.17(C5⋊D12) = C60.8Q8central extension (φ=1)480C2^2.17(C5:D12)480,64
C22.18(C5⋊D12) = C30.24C42central extension (φ=1)480C2^2.18(C5:D12)480,70
C22.19(C5⋊D12) = C2×C5⋊D24central extension (φ=1)240C2^2.19(C5:D12)480,378
C22.20(C5⋊D12) = C2×D12.D5central extension (φ=1)240C2^2.20(C5:D12)480,392
C22.21(C5⋊D12) = C2×Dic6⋊D5central extension (φ=1)240C2^2.21(C5:D12)480,393
C22.22(C5⋊D12) = C2×C5⋊Dic12central extension (φ=1)480C2^2.22(C5:D12)480,396
C22.23(C5⋊D12) = C2×D6⋊Dic5central extension (φ=1)240C2^2.23(C5:D12)480,614
C22.24(C5⋊D12) = C2×D30⋊4C4central extension (φ=1)240C2^2.24(C5:D12)480,616
C22.25(C5⋊D12) = C2×C30.Q8central extension (φ=1)480C2^2.25(C5:D12)480,617

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