Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#13089685 |
| Sylow | C181 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
490 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#13089685, #37549305, Q16×#13089685, … |
| maximal normal subgroup of | SD16×#13089685, #37549305, Q16×#13089685, … |
| maximal quotient of | C4⋊C4×#13089685, #37549774, #37549818, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1597);