Finite Group DatabasebetaFinite Group Databasebeta| order | 1904 |
| isoclinism | isoclinic class of C7⋊#595 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C4 |
| direct product | C4×C7⋊#595 |
| Fitting | C4×C7×C17 ⋊ C4 |
| derived, Hall | C7×C17 ⋊ C42 |
| Sylow | C17 ⋊ C4×Dic7 |
| Sylow | C7 ⋊ C4×#595 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C4 | C7⋊#595 |
| commutator, hypocenter | C7×C17 | C42 |
| Frattini | C2 | C2×C7⋊#595 |
| Fitting | C4×C7×C17 | C4 |
| socle | C2×C7×C17 | C2×C4 |
| prime radical, cosocle | C2×C7×D17 | C22 |
| LCS | G ▷ C7×C17 | |
| UCS | C1 ◁ C4 | |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 476 |
152 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1904, 106);