Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D311 |
| Fitting | Q16×C311 ⋊ C2 |
| Sylow | C311 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
1099 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×D311, Q32×D311, #34092133, … |
| maximal normal subgroup of | SD32×D311, Q32×D311, #34092133, … |
| maximal quotient of | #103×D311, #107×D311, #34091786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 162);