Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C89 ⋊ #2974 |
464 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,f^2=g,b^a=be,d^a=de,h^a=h^88,c^b=ceg1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36450249, #36450253, #36450263, … |
| maximal normal subgroup of | #36450249, #36450253, #36450263, … |
| maximal quotient of | #36553112, #36553170, #36553351, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13545);