Finite Group DatabasebetaFinite Group Databasebeta| order | 1648 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C103 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 824 |
Polycyclic presentation:
2^4,103|a^2=c,c^2=d,b^a=bd,e^a=e^102418 conjugacy classes — view the full character table.
| maximal subgroup of | #15692937, #15692938, #15692939, … |
| maximal normal subgroup of | #15692937, #15692938, #15692939, … |
| maximal quotient of | #15692932, C22⋊(C103⋊C8), C4⋊(C103⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1648, 24);