Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | C4⋊C8×C181 ⋊ C2 |
| Sylow | C181 ⋊ #433 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,c^2=d,e^2=f,b^a=bd,c^b=cf,g^b=g^180,g^c=g^1801828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #433×D181, C2×#26041339, #37542355, … |
| maximal normal subgroup of | #433×D181, C2×#26041339, #37542355, … |
| maximal quotient of | #37533471, #37533486, #37533580, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 609);