Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C42×C181 ⋊ C4 |
| Sylow | C181 ⋊ #383 |
138 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=f,b^2=de,c^2=d,b^a=bd,c^a=ce,g^a=g^162,g^f=g^180748 conjugacy classes — view the full character table.
| maximal subgroup of | #37548581, #37548582, #37549140, … |
| maximal normal subgroup of | #37548581, #37548582, #37549140, … |
| maximal quotient of | #37548897, #37548908, #37549648, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1494);