Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C311 ⋊ #107 |
36 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,311|a^2=d,b^2=ce,c^2=e,b^a=bc,c^a=ce,f^a=f^3102494 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34091495, #34091496, #34091498, … |
| maximal normal subgroup of | #34091495, #34091496, #34091498, … |
| maximal quotient of | #34091447, #34091457, #34091520, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 80);