Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #447×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3008 |
784 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|e^2=g,b^a=be,c^a=cf,e^a=eg,e^b=eg,d^c=dg,h^d=h^88868 conjugacy classes — view the full character table.
| maximal quotient of | #36527583, #36527589, #36527671, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13773);