Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C23×#101 ⋊ C2 |
| Sylow | C23 ⋊ #413 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
Polycyclic presentation:
2^6,23|a^2=e,c^2=f,e^2=f,b^a=bd,d^a=df,e^b=ef,g^b=g^22,g^c=g^22143 conjugacy classes — view the full character table.
| maximal subgroup of | #15675079, #15675081, #15675087, … |
| maximal normal subgroup of | #15675079, #15675081, #15675087, … |
| maximal quotient of | #15671710, #15671714, #15671730, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 532);