Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C181 ⋊ C2 |
| Sylow | C181 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=e,d^2=f,c^a=cf,g^b=g^180,g^c=g^1801840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532306, #37532308, #37532311, … |
| maximal normal subgroup of | #37532306, #37532308, #37532311, … |
| maximal quotient of | #37532000, #37532009, #37532017, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 501);