Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22554401 |
| Sylow | C263 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16832 |
2648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46782635, C4×#22554401, #46782643, … |
| maximal normal subgroup of | #46782635, C4×#22554401, #46782643, … |
| maximal quotient of | C2×#30681688, #46781502, #46781517, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 579);