Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#108×D17 |
| Fitting | C2×C17×#108 ⋊ C2 |
| Sylow | C17 ⋊ C22×#108 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1381, #16949212, D17×#1382, … |
| maximal normal subgroup of | D17×#1381, #16949212, D17×#1382, … |
| maximal quotient of | C2×D17×#334, C2×D17×#335, D17×#1564, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13111);