Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C89 ⋊ #3407 |
360 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,e^2=f,f^2=g,d^a=dg,h^a=h^88,c^b=cg1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469556, #36469558, #36470587, … |
| maximal normal subgroup of | #36469556, #36469558, #36470587, … |
| maximal quotient of | #36707069, #36707078, #36707106, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17613);