Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097298 |
| Fitting | C2×C8×C311 ⋊ C2 |
| Sylow | C311 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2500 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34091475, C4×#19097298, #34091646, … |
| maximal normal subgroup of | #34091475, C4×#19097298, #34091646, … |
| maximal quotient of | C2×#23755618, C4×#19097298, C2×(C2×D311)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 150);