Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C23 ⋊ #356 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
Polycyclic presentation:
2^6,23|a^2=d,b^2=f,c^2=f,d^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^22,c^b=cf,d^b=def,d^c=df167 conjugacy classes — view the full character table.
| maximal subgroup of | #15671551, #15671552, #15671563, … |
| maximal normal subgroup of | #15671551, #15671552, #15671563, … |
| maximal quotient of | #15671331, #15671343, #15671403, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 348);