Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C2×C22⋊C8×D17 |
| Fitting | C2×C17×C22⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ C22×C22⋊C8 |
1072 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1280, #16923916, #16923934, … |
| maximal normal subgroup of | D17×#1280, #16923916, #16923934, … |
| maximal quotient of | C2×D17×#323, C2×D17×#324, D17×#1458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12940);