Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C173 ⋊ #518 |
338 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=f,b^a=be,d^a=de,g^a=g^172,c^b=ce1754 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353669, #36353672, #36353772, … |
| maximal normal subgroup of | #36353669, #36353672, #36353772, … |
| maximal quotient of | #36355916, #36355920, #36355924, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1024);