Finite Group DatabasebetaFinite Group Databasebeta| order | 21780 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C11 |
| direct product | C9×#14559097 |
| Fitting, Hall | C5×C9×C112 ⋊ C4 |
| derived, Hall | C5×C112 ⋊ C4×C9 |
| Hall | C9×C112 ⋊ AGL(1,𝔽5) |
| Sylow | C112 ⋊ C9×AGL(1,𝔽5) |
| Hall | C5×C9 ⋊ #92150 |
| Sylow | C5 ⋊ C9×#92150 |
108 conjugacy classes of subgroups.
1395 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21780, 268);