Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#10587535 |
| Sylow | C17 ⋊ C22×#108 |
480 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 218 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #17957109, #17957114, #17957125, … |
| maximal normal subgroup of | #17957109, #17957114, #17957125, … |
| maximal quotient of | C22×#11763670, C22×#11763673, C2×#14544332, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21166);