Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19153736 |
| Fitting | C2×C4⋊C4×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533535, C4×#19153736, #37533545, … |
| maximal normal subgroup of | #37533535, C4×#19153736, #37533545, … |
| maximal quotient of | C2×#26041006, #37532119, #37532145, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 535);