Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153734 |
| Sylow | C181 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533516, C4×#19153734, #37533643, … |
| maximal normal subgroup of | #37533516, C4×#19153734, #37533643, … |
| maximal quotient of | C2×#26041004, #37532044, #37532050, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 528);