Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×Dic73 |
| Sylow | C73 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
836 conjugacy classes — view the full character table.
| maximal subgroup of | #455×Dic73, #33091872, #456×Dic73, … |
| maximal normal subgroup of | #455×Dic73, #33091872, #456×Dic73, … |
| maximal quotient of | #137×#10596831, #33055580, #33055603, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13331);