Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | C2×#11762655 |
| Sylow | C17 ⋊ C2×#376 |
840 conjugacy classes of subgroups; only the 469 normal subgroups are shown.
This group has 840 conjugacy classes of subgroups — too many to draw. Only its 469 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2176 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#14526612, #16923725, #16923914, … |
| maximal normal subgroup of | C2×#14526612, #16923725, #16923914, … |
| maximal quotient of | C2×C4×#10587502, C4×#11762655, C2×#14527009, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6837);