Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2358 |
928 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=g,b^a=be,c^a=cf,d^b=de,h^b=h^881810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2358×D89, C2×#26023231, #36713987, … |
| maximal normal subgroup of | #2358×D89, C2×#26023231, #36713987, … |
| maximal quotient of | C22⋊C4×C22⋊Dic89, #36475921, #36475926, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7489);