Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10625015 |
| Sylow | C23 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
242 conjugacy classes — view the full character table.
| maximal subgroup of | #15671514, #15671515, C4×#10625015, … |
| maximal normal subgroup of | #15671514, #15671515, C4×#10625015, … |
| maximal quotient of | C2×#13092141, #15671718, #15671724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 526);