Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#16864643 |
| Fitting | C22×C8×C271 ⋊ C2 |
| Sylow | C271 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
4348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836697, #46836699, #46836718, … |
| maximal normal subgroup of | #46836697, #46836699, #46836718, … |
| maximal quotient of | C22×#22576082, C22×#22576085, C22×#22576092, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1323);