Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #446×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2989 |
388 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,d^2=e,f^2=g,b^a=be,c^a=cg,d^a=de,c^b=ce,h^b=h^88,h^c=h^88,h^d=h^881276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36524052, #36524056, #36524063, … |
| maximal normal subgroup of | #36524052, #36524056, #36524063, … |
| maximal quotient of | #36553243, #36553256, #36553324, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13626);