Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C8×C181 ⋊ C2 |
| Sylow | C181 ⋊ #481 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|c^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^180,e^c=ef,g^c=g^1801819 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532742, #37532743, #37532754, … |
| maximal normal subgroup of | #37532742, #37532743, #37532754, … |
| maximal quotient of | #37533812, #37533916, #37534036, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 868);