Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | D17×#340 |
| Fitting | C17×#340 ⋊ C2 |
| Sylow | C17 ⋊ C2×#340 |
512 conjugacy classes of subgroups; only the 193 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 193 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1347, D17×#1348, #16944554, … |
| maximal normal subgroup of | D17×#1347, D17×#1348, #16944554, … |
| maximal quotient of | D17×#1277, #16923788, #16923798, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4222);