Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×Q8×#11924007 |
| Sylow | C73 ⋊ C2×Q8×C4⋊C4 |
3246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18688 |
2980 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 328868);