Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#16862377 |
| Fitting | C4×Q8×C263 ⋊ C2 |
| 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 | #46781128, #46781133, #46781180, … |
| maximal normal subgroup of | #46781128, #46781133, #46781180, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 1019);