Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#17989792 |
| Sylow | C293 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157589, C8×#17989792, #49157601, … |
| maximal normal subgroup of | #49157589, C8×#17989792, #49157601, … |
| maximal quotient of | C8×#17989792, #49157633, #49157635, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 642);