Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1784 |
| Sylow | C223 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14272 |
3574 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252973, #43252985 |
| maximal normal subgroup of | #43252973, #43252985 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 977);