Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4×C8×C23 ⋊ C2 |
| Sylow | C23 ⋊ #436 |
122 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=e,c^2=e,e^2=f,b^a=bd,c^a=cf,g^a=g^22,c^b=cf,g^b=g^22380 conjugacy classes — view the full character table.
| maximal subgroup of | #15671354, #15671356, #15672226, … |
| maximal normal subgroup of | #15671354, #15671356, #15672226, … |
| maximal quotient of | #15672283, #15672289, #15672295, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 628);