Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#10587490 |
| Sylow | C17 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921241, #16921242, #16921244, … |
| maximal normal subgroup of | #16921241, #16921242, #16921244, … |
| maximal quotient of | C4×#11762560, C4×#11762562, #16925513, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4412);