Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11763750 |
| unambiguous semidirect product | D17⋊#379 |
| Fitting | C25×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#379 |
3464 conjugacy classes of subgroups; only the 354 normal subgroups are shown.
This group has 3464 conjugacy classes of subgroups — too many to draw. Only its 354 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 272 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#14543683, D17⋊#1304, #17951547, … |
| maximal normal subgroup of | C2×#14543683, D17⋊#1304, #17951547, … |
| maximal quotient of | C2×#14543958, C4×#11763750, C2×#14543966, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20951);