Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#17989390 |
| Fitting | C2×H(5,𝔽2)×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
1268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33101883, #33101886, #33101910, … |
| maximal normal subgroup of | #33101883, #33101886, #33101910, … |
| maximal quotient of | C2×#22618454, C2×#22618457, C2×#22618529, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19261);