Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×#10624382 |
| Fitting | #41×C181 ⋊ C4 |
| Sylow | C181 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
490 conjugacy classes — view the full character table.
| maximal subgroup of | #104×#10624382, #37549486, #37549758, … |
| maximal normal subgroup of | #104×#10624382, #37549486, #37549758, … |
| maximal quotient of | #117×#10624382, C4×D4×#10624382, C4×Q8×#10624382, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1615);