Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11763827 |
| Sylow | C17 ⋊ C2×#431 |
528 conjugacy classes of subgroups; only the 234 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 234 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17950296, #17950302, #17950306, … |
| maximal normal subgroup of | #17950296, #17950302, #17950306, … |
| maximal quotient of | C2×#14544498, C2×C4×#10587543, C2×C4×#10587544, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21176);