Finite Group DatabasebetaFinite Group Databasebeta| order | 1320 |
| isoclinism | isoclinic class of D15 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C11 · Schur multiplier (H2) = C2 |
| direct product | C4×C11×D15 |
| Fitting | C3×C4×C5×C11 ⋊ C2 |
| derived, Hall | C3×C5 ⋊ C2×C4×C11 |
| Hall | C3×C5×C11 ⋊ C2×C4 |
| Hall | C5×C11 ⋊ C4×D3 |
| Hall | C3×C11 ⋊ C4×D5 |
| Sylow | C5 ⋊ C4×D3×C11 |
| Sylow | C3 ⋊ C4×D5×C11 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 660 |
396 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1320, 121);