Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×Dic17 |
| Sylow | C17 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | #455×Dic17, #17040212, #456×Dic17, … |
| maximal normal subgroup of | #455×Dic17, #17040212, #456×Dic17, … |
| maximal quotient of | #137×#3622, #17003920, #17003943, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13331);