Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097302 |
| Fitting | C2×Q8×C311 ⋊ C2 |
| Sylow | C311 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1564 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34091779, C4×#19097302, #34091792, … |
| maximal normal subgroup of | #34091779, C4×#19097302, #34091792, … |
| maximal quotient of | C2×#23755628, C2×#23755632, C2×#23755639, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 159);