Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#21418461 |
| Fitting | C2×M16×C233 ⋊ C2 |
| Sylow | C233 ⋊ C2×#104 |
170 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 3728 |
2348 conjugacy classes. The character table is too large to display.
| maximal quotient of | C2×#28416162, C2×#28416165, #44450190, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 561);