Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22554404 |
| Sylow | C263 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16832 |
4220 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780838, #46780839, #46780856, … |
| maximal normal subgroup of | #46780838, #46780839, #46780856, … |
| maximal quotient of | C2×#30681691, #46781506, #46781522, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 583);