Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#104×D17 |
| Fitting | C2×C17×#104 ⋊ C2 |
| Sylow | C17 ⋊ C22×#104 |
856 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#104×D17, D17×#1759, #17032051, … |
| maximal normal subgroup of | C4×#104×D17, D17×#1759, #17032051, … |
| maximal quotient of | C2×D17×D4⋊C8, C2×D17×Q8⋊C8, D17×#1476, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13045);