Finite Group DatabasebetaFinite Group Databasebeta| order | 11403 |
| automorphism | ? |
| homology | Abelianization (H1) = C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C7×#13108658 |
| Fitting, socle, Hall | C7×C181 ⋊ C9 |
| derived, Sylow | C181 ⋊ C7×C9 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C7 | #13108658 |
| commutator, hypocenter | C181 | C7×C9 |
| Frattini | C1 | G |
| Fitting, socle | C7×C181 | C9 |
| prime radical | C7×C181⋊C3 | C3 |
| cosocle | C181⋊C3 | C3×C7 |
| LCS | G ▷ C181 | |
| UCS | C1 ◁ C7 | |
12 conjugacy classes of subgroups.
203 conjugacy classes — view the full character table.
| maximal subgroup of | C7×#13108658⋊C2, #13108658⋊D7, D7×#13108658, … |
| maximal normal subgroup of | C7×#13108658⋊C2, #13108658⋊D7, D7×#13108658, … |
| maximal quotient of | C2×C7×#13108658 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11403, 7);