Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22576106 |
| Sylow | C271 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
1912 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46838220, C4×#22576106, #46838232, … |
| maximal normal subgroup of | #46838220, C4×#22576106, #46838232, … |
| maximal quotient of | C2×#31773700, C2×#31773701, C2×#31773722, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 976);