Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C4⋊Q8×D263 |
| Fitting | C4⋊Q8×C263 ⋊ C2 |
| Sylow | C263 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
1862 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #332×D263, #333×D263, #46781417, … |
| maximal normal subgroup of | #332×D263, #333×D263, #46781417, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 1090);