Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| isoclinism | isoclinic class of #87604 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C43 |
| direct product | C42×#87604 |
| Fitting | C42×C97 ⋊ C4 |
| derived, Sylow | C97 ⋊ C43 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C42 | #87604 |
| commutator, hypocenter | C97 | C43 |
| Frattini | C22 | C22×#87604 |
| Fitting | C42×C97 | C4 |
| socle | C22×C97 | C22×C4 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C42 | |
258 conjugacy classes of subgroups.
448 conjugacy classes — view the full character table.
| maximal subgroup of | #27156563, C4×C8×#87604, #97×#87604, … |
| maximal normal subgroup of | #27156563, C4×C8×#87604, #97×#87604, … |
| maximal quotient of | #95×#87604, C4×(C2×#87604)⋊C4, C4×C8×#87604, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1483);