Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C23×#13063443 |
| derived, Sylow | C173 ⋊ C23×C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C24 | #10621924 |
| commutator, hypocenter | C173 | C23×C8 |
| Frattini | C2 | C23×#10621924 |
| Fitting, socle, prime radical | C24×C173 | C4 |
| cosocle | Dic173 | C24 |
| LCS | G ▷ C173 | |
| UCS | C1 ◁ C24 | |
338 conjugacy classes of subgroups.
752 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1619);