Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#15668433 |
| Sylow | C181 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531557, #37531558, #37531570, … |
| maximal normal subgroup of | #37531557, #37531558, #37531570, … |
| maximal quotient of | C8×#15668433, #37532010, #37532018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 502);