Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4 |
| direct product | C16×C4⋊#64408 |
| Fitting | C4×C16×C73 ⋊ C4 |
| Sylow | C73 ⋊ C16×C4⋊C4 |
398 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
1312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1096248);