Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C373 ⋊ M32 |
26 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^104,f^b=f^372,f^c=f^372764 conjugacy classes — view the full character table.
| maximal subgroup of | #37560312, #37560313, #37560338, … |
| maximal normal subgroup of | #37560312, #37560313, #37560338, … |
| maximal quotient of | #37560311, #37560317, #37560343, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 221);