Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×D8×C23 ⋊ C2 |
| Sylow | C23 ⋊ #509 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
Polycyclic presentation:
2^6,23|d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^22,d^b=de,e^b=ef170 conjugacy classes — view the full character table.
| maximal subgroup of | #15675293, #15675298, #15675341, … |
| maximal normal subgroup of | #15675293, #15675298, #15675341, … |
| maximal quotient of | #15675107, #15675113, #15675183, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 985);