Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11762929 |
| Fitting | C2×C17×#131 ⋊ C2 |
| Sylow | C17 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16951230, #16951231, #16951233, … |
| maximal normal subgroup of | #16951230, #16951231, #16951233, … |
| maximal quotient of | C2×#14527594, C2×#14527596, C2×#14527601, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13404);