Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic181 |
| Sylow | C181 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533512, #100×Dic181, #37533516, … |
| maximal normal subgroup of | #37533512, #100×Dic181, #37533516, … |
| maximal quotient of | M16×#13089678, #37532002, #37532008, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 500);