Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #428×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3056 |
496 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 143 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=g,b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^88,d^b=dg,h^c=h^881000 conjugacy classes — view the full character table.
| maximal subgroup of | #36591863, #36591866, #36591885, … |
| maximal normal subgroup of | #36591863, #36591866, #36591885, … |
| maximal quotient of | #36537208, #36537230, #36537252, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 14141);