Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×C8×C23 ⋊ C2 |
| Sylow | C23 ⋊ #416 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^22,d^b=df,g^b=g^22380 conjugacy classes — view the full character table.
| maximal subgroup of | #15673233, #15673234, #15673240, … |
| maximal normal subgroup of | #15673233, #15673234, #15673240, … |
| maximal quotient of | #15671780, #15671806, #15671832, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 546);