Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#17989790 |
| Sylow | C293 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49159117, #49159119, #49159137, … |
| maximal normal subgroup of | #49159117, #49159119, #49159137, … |
| maximal quotient of | C22×#22627545, C22×#22627547, C22×#22627555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1322);