Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#11762732 |
| Sylow | C17 ⋊ C2×#396 |
908 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16956179, C4×#11762732, #16959964, … |
| maximal normal subgroup of | #16956179, C4×#11762732, #16959964, … |
| maximal quotient of | C2×#14527027, C2×#14527029, C2×#14527035, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7731);