Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#17989792 |
| Sylow | C293 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49159123, #49159124, #49159126, … |
| maximal normal subgroup of | #49159123, #49159124, #49159126, … |
| maximal quotient of | C22×#22627547, C22×#22627548, C22×#22627557, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1325);