Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D233 |
| Fitting | #108×C233 ⋊ C2 |
| Sylow | C233 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3728 |
1652 conjugacy classes. The character table is too large to display.
| maximal quotient of | #334×D233, #335×D233, #44450555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 593);