Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#102×D17 |
| Fitting | C2×C17×#102 ⋊ C2 |
| Sylow | C17 ⋊ C22×#102 |
1072 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#102×D17, D17×#1762, #17032132, … |
| maximal normal subgroup of | C4×#102×D17, D17×#1762, #17032132, … |
| maximal quotient of | C2×D17×D4⋊C8, D17×#1486, C2×#14527207, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12994);