Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#17985380 |
| Sylow | C283 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121593, #49121595, #49121613, … |
| maximal normal subgroup of | #49121593, #49121595, #49121613, … |
| maximal quotient of | C22×#22583531, C22×#22583533, C22×#22583541, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1322);