Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C181 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=e,d^2=f,g^a=g^162,c^b=cf,g^d=g^180490 conjugacy classes — view the full character table.
| maximal subgroup of | #37549479, C2×#26042243, #37550281, … |
| maximal normal subgroup of | #37549479, C2×#26042243, #37550281, … |
| maximal quotient of | #37548922, #37548926, #37548932, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1513);