Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#15668432 |
| Fitting | C4×C8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#15668432, #37532000, #37532007, … |
| maximal normal subgroup of | C8×#15668432, #37532000, #37532007, … |
| maximal quotient of | C8×#15668432, #37532007, #37532015, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 499);