Finite Group DatabasebetaFinite Group Databasebeta| order | 38220 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C5×C13 · Schur multiplier (H2) = C7 |
| direct product | C3×C5×C13×C7⋊Dic7 |
| derived, Sylow | C72 ⋊ C3×C4×C5×C13 |
| Hall | C3×C5×C72×C13 ⋊ C4 |
| Hall | C5×C72×C13 ⋊ C3×C4 |
| Hall | C3×C72×C13 ⋊ C4×C5 |
| Hall | C3×C5×C72 ⋊ C4×C13 |
| Hall | C72×C13 ⋊ C3×C4×C5 |
| Hall | C5×C72 ⋊ C3×C4×C13 |
| Hall | C3×C72 ⋊ C4×C5×C13 |
240 conjugacy classes of subgroups.
| transitive degree | μt(G) = 38220 |
10140 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38220, 385);