Finite Group DatabasebetaFinite Group Databasebeta| order | 9488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q8×D593 |
| Fitting | Q8×C593 ⋊ C2 |
| Sylow | C593 ⋊ C2×Q8 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C22×D593 |
| commutator, socle, cosocle | C2×C593 | C23 |
| Fitting | Q8×C593 | C2 |
| prime radical | C2×D593 | C22 |
| hypercenter | Q8 | D593 |
| hypocenter | C593 | C2×Q8 |
| LCS | G ▷ C2×C593 ▷ C593 | |
| UCS | C1 ◁ C2 ◁ Q8 | |
38 conjugacy classes of subgroups.
1490 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D593, Q16×D593, #34039314, … |
| maximal normal subgroup of | SD16×D593, Q16×D593, #34039314, … |
| maximal quotient of | C4⋊C4×D593, #34039250, Q8×Dic593, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9488, 37);