Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#11715906 |
| Fitting | Q8×C97 ⋊ C8 |
| Sylow | C97 ⋊ C8×Q8 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C22×#11715906 |
| commutator, socle | C2×C97 | C22×C8 |
| Fitting | Q8×C97 | C8 |
| hypercenter | Q8 | #11715906 |
| hypocenter | C97 | C8×Q8 |
| LCS | G ▷ C2×C97 ▷ C97 | |
| UCS | C1 ◁ C2 ◁ Q8 | |
102 conjugacy classes of subgroups.
100 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1664);