Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C23 ⋊ #380 |
234 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=f,b^2=d,b^a=bd,c^a=ce,g^a=g^22380 conjugacy classes — view the full character table.
| maximal subgroup of | #15671264, #15671265, #15671276, … |
| maximal normal subgroup of | #15671264, #15671265, #15671276, … |
| maximal quotient of | #15671620, #15671624, #15671627, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 409);