Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×#17988330 |
| Fitting | C22×C4⋊C8×C73 ⋊ C2 |
| Sylow | C73 ⋊ C22×#331 |
2022 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
2956 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 137847);