Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C173 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,d^2=e,e^2=f,g^a=g^172,c^b=cf1760 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36355397, #36355400, #36355402, … |
| maximal normal subgroup of | #36355397, #36355400, #36355402, … |
| maximal quotient of | #36355160, #36355177, #36355322, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 966);