Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16862268 |
| Fitting | C22×C8×C131 ⋊ C2 |
| Sylow | C131 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
2108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30666287, #30666289, #30666847, … |
| maximal normal subgroup of | #30666287, #30666289, #30666847, … |
| maximal quotient of | C2×#22553309, C2×#22553350, C2×C4×D1048, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 1331);