Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C23×#97 ⋊ C2 |
| Sylow | C23 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=d,b^2=e,d^2=f,c^a=cf,g^b=g^22,g^c=g^22260 conjugacy classes — view the full character table.
| maximal subgroup of | #15671982, #15671984, #15671987, … |
| maximal normal subgroup of | #15671982, #15671984, #15671987, … |
| maximal quotient of | #15671676, #15671685, #15671693, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 501);