Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C8×C16 · Schur multiplier (H2) = C8 |
| direct product | C16×#10596842 |
| Fitting | C16×C73 ⋊ C8 |
| derived, Sylow | C73 ⋊ C8×C16 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C16 | #10596842 |
| commutator, hypocenter | C73 | C8×C16 |
| Frattini | C8 | C2×#10596842 |
| Fitting | C16×C73 | C8 |
| socle | C2×C73 | C82 |
| LCS | G ▷ C73 | |
| UCS | C1 ◁ C16 | |
104 conjugacy classes of subgroups.
272 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21523);