Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C23 ⋊ #533 |
222 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^a=g^22380 conjugacy classes — view the full character table.
| maximal subgroup of | #15671799, #15671801, #15671817, … |
| maximal normal subgroup of | #15671799, #15671801, #15671817, … |
| maximal quotient of | #15675804, #15675874, #15675880, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1106);