Finite Group DatabasebetaFinite Group Databasebeta| order | 17792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×#17984832 |
| Sylow | C139 ⋊ C4×#125 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17792 |
2816 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17792, 7066);