Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D263 |
| Fitting | #106×C263 ⋊ C2 |
| Sylow | C263 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
1862 conjugacy classes. The character table is too large to display.
| maximal quotient of | #334×D263, #46781501, #46781516, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 578);