Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C2×#126×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2685 |
666 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=ef,b^a=be,c^a=cf,d^a=def,c^b=cg,d^b=de,h^c=h^881264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36761167, #36761176, #36761287, … |
| maximal normal subgroup of | #36761167, #36761176, #36761287, … |
| maximal quotient of | #36481720, #36481818, #36481827, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 10895);