Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C23 ⋊ #365 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
Polycyclic presentation:
2^6,23|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^22,d^b=df,g^b=g^22170 conjugacy classes — view the full character table.
| maximal subgroup of | D23×#365, C2×#13092241, #15675168, … |
| maximal normal subgroup of | D23×#365, C2×#13092241, #15675168, … |
| maximal quotient of | #15671462, #15671497, C2×#13092241 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 373);