Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | D17×#339 |
| Fitting | C17×#339 ⋊ C2 |
| Sylow | C17 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D17×#339, D17×#1733, #17031713, … |
| maximal normal subgroup of | C2×D17×#339, D17×#1733, #17031713, … |
| maximal quotient of | D17×#1276, #16923764, #16923770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4214);