Finite Group DatabasebetaFinite Group Databasebeta| order | 608 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C19 ⋊ C2 |
| Sylow | C19 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 152 |
Polycyclic presentation:
2^5,19|b^2=c,c^2=e,d^2=e,b^a=bd,d^a=de,f^a=f^18,d^b=de104 conjugacy classes — view the full character table.
| maximal subgroup of | #104×D19, C2×#10597282, #11926559, … |
| maximal normal subgroup of | #104×D19, C2×#10597282, #11926559, … |
| maximal quotient of | #11926271, #11926274, #11926279, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(608, 31);