Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153762 |
| Sylow | C181 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
1282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37535577, C4×#19153762, #37535589, … |
| maximal normal subgroup of | #37535577, C4×#19153762, #37535589, … |
| maximal quotient of | C2×#26041082, C2×#26041083, C2×#26041104, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 976);