Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16862191 |
| Fitting | C2×C16×C131 ⋊ C2 |
| Sylow | C131 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
2102 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30667812, C4×#16862191, #30667824, … |
| maximal normal subgroup of | #30667812, C4×#16862191, #30667824, … |
| maximal quotient of | C2×#22553114, C2×#22553117, C2×#22553140, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 974);