Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C311 ⋊ #108 |
30 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,311|a^2=d,b^2=c,c^2=e,d^2=e,b^a=bc,c^a=ce,f^b=f^3101564 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #108×D311, C2×#23755643, #34091741, … |
| maximal normal subgroup of | #108×D311, C2×#23755643, #34091741, … |
| maximal quotient of | #34091444, #34091446, #34091458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 81);