Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic1084 |
| Sylow | C271 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
4348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46834327, #46834329, #46834333, … |
| maximal normal subgroup of | #46834327, #46834329, #46834333, … |
| maximal quotient of | C8×Dic1084, #46835216, #46835262, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 645);