Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | D17×#504 |
| Fitting | C17×#504 ⋊ C2 |
| Sylow | C17 ⋊ C2×#504 |
368 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 211 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1401, #16954533, D17×#2170, … |
| maximal normal subgroup of | D17×#1401, #16954533, D17×#2170, … |
| maximal quotient of | D17×#2108, #504×Dic17, #17186968, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17607);