Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×Q8×C181 ⋊ C2 |
| Sylow | C181 ⋊ #393 |
202 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=d,b^a=bd,c^a=ce,c^b=cf,g^c=g^1801822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532671, #37532676, #37532698, … |
| maximal normal subgroup of | #37532671, #37532676, #37532698, … |
| maximal quotient of | #37531963, #37531980, #37531992, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 460);