Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#11762783 |
| Sylow | C17 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16939651, #16939652, #16939656, … |
| maximal normal subgroup of | #16939651, #16939652, #16939656, … |
| maximal quotient of | C2×#14527098, C2×#14527105, C2×#14527108, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12967);