Extensions 1→N→G→Q→1 with N=C5 and Q=S3×C22⋊C4

Direct product G=N×Q with N=C5 and Q=S3×C22⋊C4
dρLabelID
C5×S3×C22⋊C4120C5xS3xC2^2:C4480,759

Semidirect products G=N:Q with N=C5 and Q=S3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(S3×C22⋊C4) = S3×C22⋊F5φ: S3×C22⋊C4/C22×S3C4 ⊆ Aut C5608+C5:(S3xC2^2:C4)480,1011
C52(S3×C22⋊C4) = D30.27D4φ: S3×C22⋊C4/D6⋊C4C2 ⊆ Aut C5120C5:2(S3xC2^2:C4)480,549
C53(S3×C22⋊C4) = D30.45D4φ: S3×C22⋊C4/C6.D4C2 ⊆ Aut C5120C5:3(S3xC2^2:C4)480,637
C54(S3×C22⋊C4) = C22⋊C4×D15φ: S3×C22⋊C4/C3×C22⋊C4C2 ⊆ Aut C5120C5:4(S3xC2^2:C4)480,845
C55(S3×C22⋊C4) = S3×D10⋊C4φ: S3×C22⋊C4/S3×C2×C4C2 ⊆ Aut C5120C5:5(S3xC2^2:C4)480,548
C56(S3×C22⋊C4) = S3×C23.D5φ: S3×C22⋊C4/S3×C23C2 ⊆ Aut C5120C5:6(S3xC2^2:C4)480,630


׿
×
𝔽