Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | #381×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2353 |
588 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=f,c^2=ef,b^a=be,c^a=cf,d^b=de,h^b=h^88,h^d=h^881282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448052, #36448057, #36522152, … |
| maximal normal subgroup of | #36448052, #36448057, #36522152, … |
| maximal quotient of | #36475856, #36475886, #36475894, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7447);