Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#16836573 |
| Sylow | C233 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
3752 conjugacy classes. The character table is too large to display.
| maximal quotient of | C4×#21418442, #44450036, #44450038, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 402);