Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C89 ⋊ #3458 |
996 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,c^2=g,e^2=f,b^a=bf,c^a=cg,d^a=df,c^b=cf,h^c=h^881804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446268, #36446271, #36463369, … |
| maximal normal subgroup of | #36446268, #36446271, #36463369, … |
| maximal quotient of | #36713054, #36713057, #36713272, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17915);