Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C2×#11763777 |
| Sylow | C17 ⋊ C22×C22⋊C8 |
1072 conjugacy classes of subgroups; only the 306 normal subgroups are shown.
This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 306 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#14543621, #17950547, #17950551, … |
| maximal normal subgroup of | C2×#14543621, #17950547, #17950551, … |
| maximal quotient of | C2×#14544010, C2×#14544013, #17964203, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21084);