Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2720 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=ef,c^2=f,d^2=e,b^a=be,c^a=cf,d^a=def,c^b=cg,d^b=de,h^c=h^881264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36761858, #36761871, #36761896, … |
| maximal normal subgroup of | #36761858, #36761871, #36761896, … |
| maximal quotient of | #36482121, #36482303, #36482364, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 11384);