Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19153805 |
| Fitting | C22×Q8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37534106, #37534122, #37534124, … |
| maximal normal subgroup of | #37534106, #37534122, #37534124, … |
| maximal quotient of | C2×#26041144, C2×#26041169, C2×#26041180, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1067);