Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| 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^180,c^b=ce1834 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533833, #37533935, #37533938, … |
| maximal normal subgroup of | #37533833, #37533935, #37533938, … |
| maximal quotient of | #37536078, #37536086, #37536307, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1027);