Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16862265 |
| Fitting | C2×D8×C131 ⋊ C2 |
| Sylow | C131 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
938 conjugacy classes — view the full character table.
| maximal subgroup of | #30667665, #30667670, #30667707, … |
| maximal normal subgroup of | #30667665, #30667670, #30667707, … |
| maximal quotient of | C2×#22553305, C2×#22553349, C2×D8×Dic131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 1328);