Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C373 ⋊ #131 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,d^2=e,f^a=f^104,c^b=ce,f^b=f^372,f^c=f^372,f^d=f^372485 conjugacy classes — view the full character table.
| maximal subgroup of | #37560465, #37560466, #37560467, … |
| maximal normal subgroup of | #37560465, #37560466, #37560467, … |
| maximal quotient of | #37560387, #37560397, #37560429, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 234);