Finite Group DatabasebetaFinite Group Databasebeta| order | 5888 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C128 · Schur multiplier (H2) = C2 |
| direct product | C2×C23⋊C128 |
| unambiguous semidirect product | (C2×C23)⋊C128 |
| derived, Sylow | C23 ⋊ C2×C128 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C64 | D23 |
| commutator, hypocenter | C23 | C2×C128 |
| Frattini | C64 | C2×D23 |
| Fitting | C2×C23×C64 | C2 |
| socle | C22×C23 | C64 |
| LCS | G ▷ C23 | |
| UCS | C1 ◁ C2×C64 | |
46 conjugacy classes of subgroups.
1664 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5888, 57477);