Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D181 |
| Fitting | C2×Q16×C181 ⋊ C2 |
| Sylow | C181 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #358×D181, #37535439, #362×D181, … |
| maximal normal subgroup of | #358×D181, #37535439, #362×D181, … |
| maximal quotient of | C2×#103×D181, C2×#107×D181, C4×Q16×D181, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1324);