Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C23 ⋊ C2 |
| 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^c=g^22392 conjugacy classes — view the full character table.
| maximal subgroup of | #15674992, #15674995, #15675154, … |
| maximal normal subgroup of | #15674992, #15674995, #15675154, … |
| maximal quotient of | C8×#67262, #15671679, #15671685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 503);