Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2096 |
| Fitting | C2×C16×C131 ⋊ C2 |
| Sylow | C131 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
2102 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30664138, #30664140, #30664150, … |
| maximal normal subgroup of | #30664138, #30664140, #30664150, … |
| maximal quotient of | C2×#22553114, C2×#22553138, C4×D2096, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 970);