Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22576160 |
| Sylow | C271 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
4348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#31773642, C2×#31773644, C2×#31773645, … |
| maximal normal subgroup of | C2×#31773642, C2×#31773644, C2×#31773645, … |
| maximal quotient of | C2×#31773767, C2×#31773795, C2×#31773803, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1093);