Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#22554435 |
| Sylow | C263 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16832 |
2660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46781069, #46781089, #46782542, … |
| maximal normal subgroup of | #46781069, #46781089, #46782542, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 1013);