Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#135×D73 |
| Fitting | C2×#135×C73 ⋊ C2 |
| Sylow | C73 ⋊ C22×#135 |
1504 conjugacy classes of subgroups.
1064 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33001637, #33001641, #1876×D73, … |
| maximal normal subgroup of | #33001637, #33001641, #1876×D73, … |
| maximal quotient of | C2×#416×D73, C2×#427×D73, C2×C4×D8×D73, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19234);