Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C23 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=d,b^2=e,d^2=f,c^b=cf,g^b=g^22392 conjugacy classes — view the full character table.
| maximal subgroup of | #15671482, #15671484, #15671485, … |
| maximal normal subgroup of | #15671482, #15671484, #15671485, … |
| maximal quotient of | C8×#67267, #15671680, #15671686, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 504);