Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#10587486 |
| Sylow | C17 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921181, C8×#10587486, #16923676, … |
| maximal normal subgroup of | #16921181, C8×#10587486, #16923676, … |
| maximal quotient of | C4×#11762530, C4×#11762531, C8×#10587486, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4194);