Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | D17×#431 |
| Fitting | C17×#431 ⋊ C2 |
| Sylow | C17 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1274, #16923721, #16923730, … |
| maximal normal subgroup of | D17×#1274, #16923721, #16923730, … |
| maximal quotient of | D17×#1744, C4×C22⋊C8×D17, C4×C4⋊C8×D17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13122);