Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C23 ⋊ #376 |
178 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
Polycyclic presentation:
2^6,23|a^2=e,b^2=f,c^2=d,b^a=bd,g^b=g^22392 conjugacy classes — view the full character table.
| maximal subgroup of | #15671225, #15671289, #15671291, … |
| maximal normal subgroup of | #15671225, #15671289, #15671291, … |
| maximal quotient of | C4×C23⋊#95, #15671622, #15671624, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 395);