Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#21418459 |
| Sylow | C233 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
2348 conjugacy classes. The character table is too large to display.
| maximal quotient of | C2×Q8⋊#14272338, #44450213, #44450239, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 540);