Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#21418475 |
| Sylow | C233 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
3752 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449889, #44449890, #44449891, … |
| maximal normal subgroup of | #44449889, #44449890, #44449891, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 964);