Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Sylow | C89 ⋊ C22⋊#95 |
1088 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,b^2=g,b^a=bd,c^a=ce,h^b=h^881816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441386, #36459769, #36459771, … |
| maximal normal subgroup of | #36441386, #36459769, #36459771, … |
| maximal quotient of | #36442347, #36442350, #36442356, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2732);