Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19153738 |
| Fitting | C22×C8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
2908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533535, C4×#19153738, #37533545, … |
| maximal normal subgroup of | #37533535, C4×#19153738, #37533545, … |
| maximal quotient of | C2×#26041008, #37532121, #37532147, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 537);