Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#15668428 |
| Sylow | C181 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531949, #37531952, #37531954, … |
| maximal normal subgroup of | #37531949, #37531952, #37531954, … |
| maximal quotient of | C22×#19153723, C2×C4×#15668428, C2×#26041137, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 999);