Finite Group DatabasebetaFinite Group Databasebeta| order | 4617 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C3×#13095331 |
| Sylow | C19 ⋊ C3×#737 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
297 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28353696, #28353698, #28353699, … |
| maximal normal subgroup of | #28353696, #28353698, #28353699, … |
| maximal quotient of | C3×#17987402, C3×H(3,𝔽3)×#4294, C3×#17987415, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4617, 301);