Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#16864644 |
| Sylow | C271 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
2728 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836702, #46836703, #46836705, … |
| maximal normal subgroup of | #46836702, #46836703, #46836705, … |
| maximal quotient of | C22×#22576083, C22×#22576084, C22×#22576093, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1325);