Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C89 ⋊ #2401 |
432 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=fg,b^2=f,d^2=e,b^a=be,c^a=cf,c^b=cg,h^b=h^881804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36562683, #36562688, #36562690, … |
| maximal normal subgroup of | #36562683, #36562688, #36562690, … |
| maximal quotient of | #36476125, #36476129, #36476131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7810);