Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#17989781 |
| Sylow | C293 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
4712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157013, #49157016, #49157018, … |
| maximal normal subgroup of | #49157013, #49157016, #49157018, … |
| maximal quotient of | C22×#22627531, C2×C4×#17989781, C2×#34035987, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 999);