Finite Group DatabasebetaFinite Group Databasebeta| order | 6208 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C16 · Schur multiplier (H2) = C4 |
| direct product | C4×#13095525 |
| Fitting | C4×C97 ⋊ C16 |
| derived, Sylow | C97 ⋊ C4×C16 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C4 | #13095525 |
| commutator, hypocenter | C97 | C4×C16 |
| Frattini | C2 | C2×#13095525 |
| Fitting | C4×C97 | C16 |
| socle | C2×C97 | C2×C16 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C4 | |
58 conjugacy classes of subgroups.
88 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#13095525, #27158995, D4⋊#13095525, … |
| maximal normal subgroup of | C8×#13095525, #27158995, D4⋊#13095525, … |
| maximal quotient of | C8×#13095525, #27158995, (C2×#13095525)⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6208, 1674);