Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D17×Q8⋊C8 |
| Fitting | C17×Q8⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ C2×Q8⋊C8 |
280 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 97 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 | C2×D17×Q8⋊C8, D17×#1476, D17×#1479, … |
| maximal normal subgroup of | C2×D17×Q8⋊C8, D17×#1476, D17×#1479, … |
| maximal quotient of | D17×#1271, D17×#1272, #16922268, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2885);