Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22576182 |
| Fitting | C22×C8×C271 ⋊ C2 |
| Sylow | C271 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
4348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836690, #46836692, #46837250, … |
| maximal normal subgroup of | #46836690, #46836692, #46837250, … |
| maximal quotient of | C2×#31773894, C2×#31773935, C2×C4×D2168, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1331);