Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C173 ⋊ #416 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^172,d^b=df1748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353398, #36353401, #36353405, … |
| maximal normal subgroup of | #36353398, #36353401, #36353405, … |
| maximal quotient of | #36351945, #36351971, #36351997, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 545);