Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×#15668426 |
| Fitting | C2×C42×C181 ⋊ C2 |
| Sylow | C181 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37533491, C8×#15668426, #37533496, … |
| maximal normal subgroup of | #37533491, C8×#15668426, #37533496, … |
| maximal quotient of | C4×#19153723, #37531942, #37531945, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 398);