Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×C8×C173 ⋊ C2 |
| 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=df,g^b=g^1722780 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353399, #36353400, #36353406, … |
| maximal normal subgroup of | #36353399, #36353400, #36353406, … |
| maximal quotient of | #36351946, #36351972, #36351998, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 546);