Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1244 |
| Fitting | C42×C311 ⋊ C2 |
| Sylow | C311 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
2500 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34091421, #34091423, #34091759, … |
| maximal normal subgroup of | #34091421, #34091423, #34091759, … |
| maximal quotient of | C4×(C2×D311)⋊C4, C4×C4⋊Dic311, #34091568, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 110);