Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153733 |
| Sylow | C181 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
1822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531838, #37531839, C4×#19153733, … |
| maximal normal subgroup of | #37531838, #37531839, C4×#19153733, … |
| maximal quotient of | C2×#26041003, #37532042, #37532048, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 526);