Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×#102×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3318 |
462 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=eg,b^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=de,h^b=h^88,f^c=fg1261 conjugacy classes. The character table is too large to display.
| maximal quotient of | #36569964, #36570742, #36571525, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 16647);