Finite Group DatabasebetaFinite Group Databasebeta| order | 9376 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#17989812 |
| Sylow | C293 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
604 conjugacy classes — view the full character table.
| maximal subgroup of | #34036999, #34037005, #34037012, … |
| maximal normal subgroup of | #34036999, #34037005, #34037012, … |
| maximal quotient of | C2×#22627679, C4×#17989812, C2×#22627681, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9376, 232);