Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16862164 |
| Sylow | C131 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1322 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30665756, C4×#16862164, #30665883, … |
| maximal normal subgroup of | #30665756, C4×#16862164, #30665883, … |
| maximal quotient of | C2×#22553037, #30664284, #30664290, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 528);