Finite Group DatabasebetaFinite Group Databasebeta| order | 9488 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| direct product | C2×#18011661 |
| derived, Sylow | C593 ⋊ C2×C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22 | #14558631 |
| commutator, hypocenter | C593 | C2×C8 |
| Frattini | C2 | C2×#14558631 |
| Fitting, socle, prime radical | C22×C593 | C4 |
| cosocle | Dic593 | C22 |
| LCS | G ▷ C593 | |
| UCS | C1 ◁ C22 | |
22 conjugacy classes of subgroups.
608 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#18011661, #34039340, C22⋊#18011661, … |
| maximal normal subgroup of | C4×#18011661, #34039340, C22⋊#18011661, … |
| maximal quotient of | C4×#18011661, C22⋊#18011661, C4⋊#18011661, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9488, 47);