Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #432×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2992 |
356 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,d^2=e,f^2=g,b^a=be,d^a=de,h^a=h^88,c^b=ce,d^b=dg,h^b=h^881276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448543, #36448547, #36448550, … |
| maximal normal subgroup of | #36448543, #36448547, #36448550, … |
| maximal quotient of | #36553223, #36553296, #36553364, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13651);