Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19153810 |
| Fitting | C2×C42×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
2908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532088, #37532091, #37536269, … |
| maximal normal subgroup of | #37532088, #37532091, #37536269, … |
| maximal quotient of | C2×#26041147, C2×#26041163, C2×#26041170, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1074);