Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #137×C173 ⋊ C2 |
| Sylow | C173 ⋊ #577 |
258 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,173|a^2=f,e^2=f,b^a=be,e^a=ef,e^b=ef,g^b=g^172,d^c=df,g^d=g^172968 conjugacy classes — view the full character table.
| maximal subgroup of | #36365328, #36365332, #36365333, … |
| maximal normal subgroup of | #36365328, #36365332, #36365333, … |
| maximal quotient of | #36362087, #36362095, #36362157, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1358);