Finite Group DatabasebetaFinite Group Databasebeta| order | 9952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C16×C311 ⋊ C2 |
| Sylow | C311 ⋊ SD32 |
26 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,311|a^2=e,c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^310,c^b=cd,d^b=de,f^b=f^3102491 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×D311, C2×#23755653, #34092125, … |
| maximal normal subgroup of | SD32×D311, C2×#23755653, #34092125, … |
| maximal quotient of | #34091496, #34091499, #34091522, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9952, 91);