Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C173 ⋊ C2 |
| Sylow | C173 ⋊ #407 |
190 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,e^2=f,b^a=bd,c^a=cf,g^b=g^1721748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351498, #36353482, #36353485, … |
| maximal normal subgroup of | #36351498, #36353482, #36353485, … |
| maximal quotient of | #36351889, #36351892, #36351895, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 512);