Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2512 |
496 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=efg,b^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,d^a=de,c^b=cg,h^c=h^881798 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36627565, #36627569, #36627625, … |
| maximal normal subgroup of | #36627565, #36627569, #36627625, … |
| maximal quotient of | #36476445, #36476809, #36477602, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 9090);