Finite Group DatabasebetaFinite Group Databasebeta| order | 608 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C19 ⋊ #101 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 304 |
Polycyclic presentation:
2^5,19|a^2=c,b^2=e,c^2=e,b^a=bd,d^a=de,f^a=f^18,c^b=ce101 conjugacy classes — view the full character table.
| maximal subgroup of | #11926340, #11926341, #11926342, … |
| maximal normal subgroup of | #11926340, #11926341, #11926342, … |
| maximal quotient of | #11926270, #11926286, #11926290, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(608, 42);