Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1048 |
| Fitting | C4×C8×C131 ⋊ C2 |
| Sylow | C131 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
2108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30663921, #30663923, #30663927, … |
| maximal normal subgroup of | #30663921, #30663923, #30663927, … |
| maximal quotient of | C8×D1048, #30664792, #30664847, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 633);