Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic622 |
| Sylow | C311 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
2500 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34091424, #34091426, C4×#19097303, … |
| maximal normal subgroup of | #34091424, #34091426, C4×#19097303, … |
| maximal quotient of | C4×C4⋊Dic311, C4×Dic311⋊C4, #34091577, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 112);