Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #367×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2158 |
152 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=df,c^2=g,d^2=fg,f^2=g,b^a=bd,d^a=df,f^a=fg,h^b=h^88,h^c=h^881012 conjugacy classes — view the full character table.
| maximal subgroup of | #36474889, #36474947, #2158×D89, … |
| maximal normal subgroup of | #36474889, #36474947, #2158×D89, … |
| maximal quotient of | #36466012, #36466076, #36466117, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6293);