Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C89 ⋊ #2659 |
524 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 165 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,b^2=g,c^2=f,b^a=be,c^a=cf,c^b=cg,h^b=h^88,d^c=de1264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36454981, #36454983, #36454986, … |
| maximal normal subgroup of | #36454981, #36454983, #36454986, … |
| maximal quotient of | #36480966, #36481023, #36481024, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 10626);