Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19153773 |
| Fitting | C2×C42×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532033, #37532053, #37533416, … |
| maximal normal subgroup of | #37532033, #37532053, #37533416, … |
| maximal quotient of | C2×#26041125, C2×C4×#15668426, C2×C4×#15668428, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1003);