Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #483×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3204 |
402 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=g,d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,d^b=dg,h^b=h^88,f^c=fg,h^c=h^88862 conjugacy classes — view the full character table.
| maximal quotient of | #36563544, #36563551, #36564732, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 15420);