Finite Group DatabasebetaFinite Group Databasebeta| order | 30928 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C4 |
| direct product | C4×#21440806 |
| Fitting | C4×C1933 ⋊ C4 |
| derived, Sylow | C1933 ⋊ C42 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C4 | #21440806 |
| commutator, hypocenter | C1933 | C42 |
| Frattini | C2 | C2×#21440806 |
| Fitting | C4×C1933 | C4 |
| socle | C2×C1933 | C2×C4 |
| prime radical, cosocle | C2×D1933 | C22 |
| LCS | G ▷ C1933 | |
| UCS | C1 ◁ C4 | |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7732 |
1948 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30928, 44);