Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,g^a=g^19,g^c=g^162,g^e=g^180490 conjugacy classes — view the full character table.
| maximal subgroup of | #37549304, #37549306, #37549308, … |
| maximal normal subgroup of | #37549304, #37549306, #37549308, … |
| maximal quotient of | C4⋊C4×#13089685, #37549513, #37549775, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1598);