Finite Group DatabasebetaFinite Group Databasebeta| order | 608 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#64520 |
| Sylow | C19 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 304 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | #11926300, C19⋊#338, #11926303, … |
| maximal normal subgroup of | #11926300, C19⋊#338, #11926303, … |
| maximal quotient of | C2×#10597260, C4×#64520, C2×C22⋊(C19⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(608, 116);