Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#21418527 |
| Sylow | C233 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
3740 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44450165, #44450167, C2×#28416176, … |
| maximal normal subgroup of | #44450165, #44450167, C2×#28416176, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 1071);