Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D233 |
| Fitting | #106×C233 ⋊ C2 |
| Sylow | C233 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
1652 conjugacy classes. The character table is too large to display.
| maximal quotient of | #334×D233, #44450564, #44450579 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 578);