Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#21418457 |
| Fitting | C22×C8×C233 ⋊ C2 |
| Sylow | C233 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
3740 conjugacy classes. The character table is too large to display.
| maximal quotient of | C2×#28416164, #44450210, #44450236, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 537);