Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22576105 |
| Fitting | C2×C16×C271 ⋊ C2 |
| Sylow | C271 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
4342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46838215, C4×#22576105, #46838227, … |
| maximal normal subgroup of | #46838215, C4×#22576105, #46838227, … |
| maximal quotient of | C2×#31773699, C2×#31773702, C2×#31773725, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 974);