Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#20297215 |
| Sylow | C223 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14272 |
3592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252623, #43252637, #43252674, … |
| maximal normal subgroup of | #43252623, #43252637, #43252674, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 498);