Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3301 |
398 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=eg,b^2=g,c^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^88,d^b=de,h^b=h^88,f^c=fg,h^d=h^881267 conjugacy classes. The character table is too large to display.
| maximal quotient of | #36569876, #36570684, #36571618, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 16417);