Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#20297236 |
| Sylow | C223 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14272 |
3580 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252892, #43252893, #43252898, … |
| maximal normal subgroup of | #43252892, #43252893, #43252898, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 580);