Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#17989789 |
| Fitting | C22×Q8×C293 ⋊ C2 |
| 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 | #49159116, #49159122, #49159138, … |
| maximal normal subgroup of | #49159116, #49159122, #49159138, … |
| maximal quotient of | C22×#22627544, C22×#22627548, C22×#22627555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1321);