Finite Group DatabasebetaFinite Group Databasebeta| order | 8836 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| direct product | D472 |
| unambiguous semidirect product | (C47×D47)⋊C2 |
| unambiguous semidirect product | (C47⋊D47)⋊C2 |
| Fitting, socle, derived, Sylow | C472 ⋊ C22 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C472 | C22 |
| LCS | G ▷ C472 | |
| UCS | C1 | |
66 conjugacy classes of subgroups.
625 conjugacy classes — view the full character table.
| maximal subgroup of | #27210411⋊C2, C3×D472, D47×D141, … |
| maximal normal subgroup of | C3×D472 |
| maximal quotient of | C3×D472, D47×D141, D141⋊D47 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8836, 10);