Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C89 ⋊ #2704 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=ef,b^2=ef,d^2=e,b^a=be,c^a=cf,d^a=def,c^b=cg,d^b=de,h^b=h^881264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36761409, #36761420, #36761471, … |
| maximal normal subgroup of | #36761409, #36761420, #36761471, … |
| maximal quotient of | #36481779, #36481883, #36482001, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 11164);