Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11763073 |
| Fitting | C2×C17×#108 ⋊ C2 |
| Sylow | C17 ⋊ C2×#471 |
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #17041184, C4×#11763073, #17041243, … |
| maximal normal subgroup of | #17041184, C4×#11763073, #17041243, … |
| maximal quotient of | C2×#14528126, C2×#14528160, C2×#14528222, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14210);