Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #102×C181 ⋊ C2 |
| Sylow | C181 ⋊ #466 |
134 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 41 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,181|b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^b=g^180,g^c=g^1801282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #466×D181, C2×#26041514, #37543297, … |
| maximal normal subgroup of | #466×D181, C2×#26041514, #37543297, … |
| maximal quotient of | #37533075, #37533080, #37533109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 784);