Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×C16×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2246 |
216 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=df,c^2=e,d^2=fg,f^2=g,b^a=bd,c^a=ce,d^a=df,f^a=fg,h^a=h^882854 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442060, #36442062, #36442072, … |
| maximal normal subgroup of | #36442060, #36442062, #36442072, … |
| maximal quotient of | #36469081, #36469114, #36469140, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6760);