Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×Q8×C181 ⋊ C4 |
| Sylow | C181 ⋊ #519 |
266 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=f,b^2=e,c^2=e,b^a=be,d^a=de,g^a=g^162,c^b=ce,g^f=g^180484 conjugacy classes — view the full character table.
| maximal subgroup of | #37549677, #37549727, #37549729, … |
| maximal normal subgroup of | #37549677, #37549727, #37549729, … |
| maximal quotient of | #37550159, #37550161, #37550195, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1617);