Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | #518×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3428 |
1540 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,e^2=f,b^a=bf,d^a=df,c^b=cf,h^e=h^881564 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36554284, #36554296, #36555240, … |
| maximal normal subgroup of | #36554284, #36554296, #36555240, … |
| maximal quotient of | #36712639, #36712641, #36712653, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17708);