Finite Group DatabasebetaFinite Group Databasebeta| order | 3104 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
| direct product | C2×#13095523 |
| derived, Sylow | C97 ⋊ C2×C16 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22 | #11715906 |
| commutator, hypocenter | C97 | C2×C16 |
| Frattini | C2 | C2×#11715906 |
| Fitting, socle, prime radical | C22×C97 | C8 |
| cosocle | #11715897 | C22 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C22 | |
28 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3104 |
80 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3104, 240);