Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C8 |
No aliases for this group.
| Sylow | C89 ⋊ #1708 |
190 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=d,c^2=ef,d^2=f,e^2=g,b^a=bd,c^a=ce,d^a=df,e^a=eg,h^c=h^881006 conjugacy classes — view the full character table.
| maximal subgroup of | #36442302, #36442304, #36468192, … |
| maximal normal subgroup of | #36442302, #36442304, #36468192, … |
| maximal quotient of | #36448200, #36454161, #36454169, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4109);