Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×Dic263 |
| Sylow | C263 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
2660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×Dic263, #46782559, #46782765, … |
| maximal normal subgroup of | #104×Dic263, #46782559, #46782765, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 1020);