Finite Group DatabasebetaFinite Group Databasebeta| order | 9884 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×Dic353 |
| derived, Sylow | C353 ⋊ C4×C7 |
| Hall | C7×C353 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C7 | D353 |
| commutator, hypocenter | C353 | C4×C7 |
| Frattini | C2 | C7×D353 |
| Fitting, socle, prime radical | C2×C7×C353 | C2 |
| cosocle | C2×C353 | C2×C7 |
| LCS | G ▷ C353 | |
| UCS | C1 ◁ C2×C7 | |
12 conjugacy classes of subgroups.
2492 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×C7×Dic353, C7×Dic1059, ΓL(1,𝔽8)×Dic353 |
| maximal normal subgroup of | C3×C7×Dic353, ΓL(1,𝔽8)×Dic353 |
| maximal quotient of | C3×C7×Dic353, C7×Dic1059 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9884, 3);