Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C89 ⋊ #1385 |
124 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=e,c^2=f,d^2=g,e^2=fg,f^2=g,b^a=bc,c^a=cf,e^a=ef,f^a=fg,h^a=h^88,d^b=dg1792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442001, #36442002, #36442004, … |
| maximal normal subgroup of | #36442001, #36442002, #36442004, … |
| maximal quotient of | #36441304, #36441349, #36441474, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2614);