Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16862165 |
| Sylow | C131 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1322 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30664087, #30664088, C4×#16862165, … |
| maximal normal subgroup of | #30664087, #30664088, C4×#16862165, … |
| maximal quotient of | C2×#22553038, #30664285, #30664291, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 529);