Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | #423×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2925 |
392 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=e,f^2=g,b^a=be,h^a=h^88,d^b=dg,h^b=h^88,d^c=dg,h^c=h^881282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448732, #36448736, #36448746, … |
| maximal normal subgroup of | #36448732, #36448736, #36448746, … |
| maximal quotient of | #36551928, #36551982, #36552353, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13178);