Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097303 |
| Sylow | C311 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1564 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19097303, #34091785, #34091791, … |
| maximal normal subgroup of | C4×#19097303, #34091785, #34091791, … |
| maximal quotient of | C2×#23755629, C2×#23755631, C2×#23755639, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 160);