Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153739 |
| Sylow | C181 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533540, C4×#19153739, #37533550, … |
| maximal normal subgroup of | #37533540, C4×#19153739, #37533550, … |
| maximal quotient of | C2×#26041009, #37532123, #37532149, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 539);