Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#22627616 |
| Sylow | C293 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
4700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157140, #49157142, C2×#34035870, … |
| maximal normal subgroup of | #49157140, #49157142, C2×#34035870, … |
| maximal quotient of | C2×#34035995, C2×#34036013, C2×#34036027, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1071);