Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic524 |
| Sylow | C131 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
2108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30663924, #30663926, #30663930, … |
| maximal normal subgroup of | #30663924, #30663926, #30663930, … |
| maximal quotient of | C8×Dic524, #30664813, #30664859, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 645);