Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153726 |
| Sylow | C181 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531800, #37531804, #97×Dic181, … |
| maximal normal subgroup of | #37531800, #37531804, #97×Dic181, … |
| maximal quotient of | C2×#26041000, C2×#26041001, #37532010, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 497);