Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D17×#436 |
| Fitting | C17×#436 ⋊ C2 |
| Sylow | C17 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1330, #16944045, #16944253, … |
| maximal normal subgroup of | D17×#1330, #16944045, #16944253, … |
| maximal quotient of | D17×#1589, D17×#1590, D17×#1591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13193);