Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C89 ⋊ #1780 |
612 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,f^2=g,b^a=bd,c^a=ce,h^a=h^88,c^b=cg1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441702, #36441704, #36441710, … |
| maximal normal subgroup of | #36441702, #36441704, #36441710, … |
| maximal quotient of | #36445776, #36445779, #36445782, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4422);