Finite Group DatabasebetaFinite Group Databasebeta| order | 9488 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| direct product | C2×#18011654 |
| derived, Sylow | C593 ⋊ C2×C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C4 | D593 |
| commutator, hypocenter | C593 | C2×C8 |
| Frattini | C4 | C2×D593 |
| Fitting | C2×C4×C593 | C2 |
| socle, prime radical | C22×C593 | C4 |
| cosocle | C4×C593 | C22 |
| LCS | G ▷ C593 | |
| UCS | C1 ◁ C2×C4 | |
22 conjugacy classes of subgroups.
2384 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×Dic593, C4×#18011654, #34039195, … |
| maximal normal subgroup of | C8×Dic593, C4×#18011654, #34039195, … |
| maximal quotient of | C4×#18011654, C22⋊#18011654, C4⋊#18011654, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9488, 22);