Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×Q8×D233 |
| Fitting | C4×Q8×C233 ⋊ C2 |
| Sylow | C233 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
2360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Q8⋊C8×D233, #44450203, #44450237, … |
| maximal normal subgroup of | Q8⋊C8×D233, #44450203, #44450237, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 1012);