Finite Group DatabasebetaFinite Group Databasebeta| order | 3888 |
| nilpotency class | 2 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C33 · Schur multiplier (H2) = C23×C3 |
| direct product | C2×D4×#6900 |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22×C32 | C22×C33 |
| commutator, Frattini, cosocle | C2×C32 | C23×C33 |
| prime radical | C2×C33×D4 | C32 |
| LCS | G ▷ C2×C32 ▷ C1 | |
| UCS | C1 ◁ C22×C32 ◁ G | |
1890 conjugacy classes of subgroups.
510 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.