Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×M16×D17 |
| Fitting | C4×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1278, #16923818, #16923838, … |
| maximal normal subgroup of | D17×#1278, #16923818, #16923838, … |
| maximal quotient of | C8×M16×D17, D17×#1451, D17×#1453, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12915);