Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D17×#443 |
| Fitting | C17×#443 ⋊ C2 |
| Sylow | C17 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1335, #16944109, D17×#1336, … |
| maximal normal subgroup of | D17×#1335, #16944109, D17×#1336, … |
| maximal quotient of | C8×D8×D17, C8×SD16×D17, C8×Q16×D17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13396);