| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8×C16 · Schur multiplier (H2) = C22×C8 |
| direct product | C2×C16×#10596842 |
| Fitting | C2×C16×C73 ⋊ C8 |
| derived, Sylow | C73 ⋊ C2×C8×C16 |
398 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
544 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1117056);