Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #423×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2932 |
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,89|a^2=f,c^2=f,f^2=g,b^a=be,c^a=cg,d^a=dg,d^b=dg,h^b=h^88,h^c=h^881276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448557, #36448561, #36448571, … |
| maximal normal subgroup of | #36448557, #36448561, #36448571, … |
| maximal quotient of | #36525135, #36525142, #36525150, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13227);