Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2247 |
176 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=df,c^2=e,d^2=fg,f^2=g,b^a=bd,c^a=ce,d^a=df,f^a=fg,h^c=h^881006 conjugacy classes — view the full character table.
| maximal subgroup of | #36475216, #36475217, #36475221, … |
| maximal normal subgroup of | #36475216, #36475217, #36475221, … |
| maximal quotient of | #36469083, #36469085, #36469087, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6761);