Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C8 |
No aliases for this group.
| Fitting | #498×C89 ⋊ C2 |
| Sylow | C89 ⋊ #1705 |
214 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=d,c^2=e,d^2=f,e^2=g,b^a=bd,c^a=ce,d^a=df,e^a=eg,h^a=h^88,h^c=h^881006 conjugacy classes — view the full character table.
| maximal subgroup of | #36468186, #1705×D89, C2×#26019840, … |
| maximal normal subgroup of | #36468186, #1705×D89, C2×#26019840, … |
| maximal quotient of | #36448194, #36454163, #36454164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4098);