Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1784 |
| Fitting | C4×C8×C223 ⋊ C2 |
| Sylow | C223 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7136 |
3580 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252753, #43252755, #43252759, … |
| maximal normal subgroup of | #43252753, #43252755, #43252759, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 633);