Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097304 |
| Fitting | C2×C8×C311 ⋊ C2 |
| Sylow | C311 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
2494 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34091781, C4×#19097304, #34091793, … |
| maximal normal subgroup of | #34091781, C4×#19097304, #34091793, … |
| maximal quotient of | C2×#23755630, C2×#23755633, C2×#23755640, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 161);