Finite Group DatabasebetaFinite Group Databasebeta| order | 2416 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C151 ⋊ Q16 |
18 conjugacy classes of subgroups.
| minimal degree | μ(G) = 167 |
| transitive degree | μt(G) = 2416 |
Polycyclic presentation:
2^4,151|a^2=d,b^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^150382 conjugacy classes — view the full character table.
| maximal subgroup of | Q16×D151, C2×#14558994, #18012759, … |
| maximal normal subgroup of | Q16×D151, C2×#14558994, #18012759, … |
| maximal quotient of | #18012662, #18012663, #18012672, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2416, 30);