Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22627549 |
| Sylow | C293 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
4700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49158604, C4×#22627549, #49158614, … |
| maximal normal subgroup of | #49158604, C4×#22627549, #49158614, … |
| maximal quotient of | C2×#34035861, #49157189, #49157215, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 541);