Finite Group DatabasebetaFinite Group Databasebeta| order | 9452 |
| isoclinism | isoclinic class of D17 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C139 · Schur multiplier (H2) = C1 |
| direct product | Dic17×C139 |
| derived, Sylow | C17 ⋊ C4×C139 |
| Hall | C17×C139 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C139 | D17 |
| commutator, hypocenter | C17 | C4×C139 |
| Frattini | C2 | D17×C139 |
| Fitting, socle | C2×C17×C139 | C2 |
| LCS | G ▷ C17 | |
| UCS | C1 ◁ C2×C139 | |
12 conjugacy classes of subgroups.
2780 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×Dic17×C139, C139×Dic51, Dic17×C139⋊C3 |
| maximal normal subgroup of | C3×Dic17×C139, Dic17×C139⋊C3 |
| maximal quotient of | C3×Dic17×C139, C139×Dic51 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9452, 2);