Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C89 ⋊ #1375 |
140 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=e,c^2=g,d^2=f,f^2=g,b^a=bc,e^a=eg,h^a=h^88,d^b=dg1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441185, #36441186, #36441205, … |
| maximal normal subgroup of | #36441185, #36441186, #36441205, … |
| maximal quotient of | #36441258, #36441270, #36441277, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2590);