Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D17×#424 |
| Fitting | C17×#424 ⋊ C2 |
| Sylow | C17 ⋊ C2×#424 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1323, #16943466, #16943469, … |
| maximal normal subgroup of | D17×#1323, #16943466, #16943469, … |
| maximal quotient of | D17×#1570, D17×#1571, D17×#1572, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13066);