Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22576104 |
| Sylow | C271 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
1912 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22576104, #46838219, #46838225, … |
| maximal normal subgroup of | C4×#22576104, #46838219, #46838225, … |
| maximal quotient of | C2×#31773698, C2×#31773700, C2×#31773724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 973);