Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×#17989779 |
| Fitting | C23×C4×C293 ⋊ C2 |
| Sylow | C293 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
4712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157006, #49157021, #49157023, … |
| maximal normal subgroup of | #49157006, #49157021, #49157023, … |
| maximal quotient of | C22×#22627531, C2×C4×#17989779, C2×#34035984, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 996);