Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#16864638 |
| Sylow | C271 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
4360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836057, #46836058, #46836060, … |
| maximal normal subgroup of | #46836057, #46836058, #46836060, … |
| maximal quotient of | C22×#22576071, C2×C4×#16864638, C22×C22⋊(C271⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1309);