Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19153815 |
| Sylow | C181 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37534667, #37534671, #37534680, … |
| maximal normal subgroup of | #37534667, #37534671, #37534680, … |
| maximal quotient of | C2×#26041148, C2×#26041175, C2×#26041176, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1092);