Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D373⋊M16 |
| Sylow | C373 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,d^2=e,b^a=be,f^a=f^104,f^c=f^372,f^d=f^372764 conjugacy classes — view the full character table.
| maximal subgroup of | #37560289, #37560291, #37560293, … |
| maximal normal subgroup of | #37560289, #37560291, #37560293, … |
| maximal quotient of | #37560381, C4×#20238619, C4×#20238620, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 231);