Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic446 |
| Sylow | C223 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14272 |
3592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252771, #43252773 |
| maximal normal subgroup of | #43252771, #43252773 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 674);