Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#17985382 |
| Sylow | C283 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
2848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121599, #49121600, #49121602, … |
| maximal normal subgroup of | #49121599, #49121600, #49121602, … |
| maximal quotient of | C22×#22583533, C22×#22583534, C22×#22583543, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1325);