Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C2 |
| direct product | C2×#15690909 |
| derived, Sylow | C97 ⋊ C2×C32 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22 | #13095525 |
| commutator, hypocenter | C97 | C2×C32 |
| Frattini | C2 | C2×#13095525 |
| Fitting, socle | C22×C97 | C16 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C22 | |
34 conjugacy classes of subgroups.
88 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#15690909, #27159005, C22⋊#15690909, … |
| maximal normal subgroup of | C4×#15690909, #27159005, C22⋊#15690909, … |
| maximal quotient of | C4×#15690909, C22⋊#15690909, C4⋊#15690909, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1677);