Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | M16×C373 ⋊ C2 |
| Sylow | C373 ⋊ AGL(1,ℤ/8) |
68 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^372,d^b=de,f^b=f^3721871 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559591, #37559592, #37559596, … |
| maximal normal subgroup of | #37559591, #37559592, #37559596, … |
| maximal quotient of | #37559424, #37559428, #37559464, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 174);