Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16862180 |
| Sylow | C131 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
2108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30664052, #30664053, #30664070, … |
| maximal normal subgroup of | #30664052, #30664053, #30664070, … |
| maximal quotient of | C2×#22553065, #30664720, #30664736, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 583);