Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#21418453 |
| Sylow | C233 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
2342 conjugacy classes. The character table is too large to display.
| maximal quotient of | C2×#28416160, #44450133, #44450139, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 528);