Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #323×C89 ⋊ C2 |
| Sylow | C89 ⋊ #1596 |
316 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,89|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,h^a=h^88,d^b=df,e^b=eg,h^b=h^88,d^c=dg991 conjugacy classes — view the full character table.
| maximal subgroup of | #36467146, #36467147, #36467158, … |
| maximal normal subgroup of | #36467146, #36467147, #36467158, … |
| maximal quotient of | #36443133, #36443151, #36443180, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 3435);