Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic1084 |
| Sylow | C271 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
4348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836704, #46836706, #46837223, … |
| maximal normal subgroup of | #46836704, #46836706, #46837223, … |
| maximal quotient of | C22×#22576085, C22×#22576094, C2×C4×Dic1084, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1326);