Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14523502 |
| Fitting | C22×C8×C131 ⋊ C2 |
| Sylow | C131 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
2108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30666294, #30666296, #30666315, … |
| maximal normal subgroup of | #30666294, #30666296, #30666315, … |
| maximal quotient of | C22×#16862168, C22×#16862171, C22×#16862178, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 1323);