Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #41×C367 ⋊ C2 |
| Sylow | C367 ⋊ AGL(1,ℤ/8) |
68 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|d^2=e,b^a=bd,c^a=ce,d^a=de,d^b=de,f^b=f^3661841 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554354, #37554355, #37554359, … |
| maximal normal subgroup of | #37554354, #37554355, #37554359, … |
| maximal quotient of | #37554187, #37554190, #37554229, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 171);