Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1864 |
| Fitting | C4×C8×C233 ⋊ C2 |
| Sylow | C233 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
3740 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449770, #44449772, #44449776, … |
| maximal normal subgroup of | #44449770, #44449772, #44449776, … |
| maximal quotient of | C8×D1864, #44450641, #44450696 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 633);