Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19153816 |
| Sylow | C181 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
2908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#26041024, C2×#26041026, C2×#26041027, … |
| maximal normal subgroup of | C2×#26041024, C2×#26041026, C2×#26041027, … |
| maximal quotient of | C2×#26041149, C2×#26041177, C2×#26041185, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1093);