Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C311 ⋊ #137 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,311|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,d^b=de,f^b=f^3101561 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34091872, #34091873, #34091877, … |
| maximal normal subgroup of | #34091872, #34091873, #34091877, … |
| maximal quotient of | #34091695, #34091702, #34091737, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 176);