Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10624990 |
| Sylow | C23 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #15673285, C4×#10624990, #15673293, … |
| maximal normal subgroup of | #15673285, C4×#10624990, #15673293, … |
| maximal quotient of | C2×#13092167, #15672152, #15672167, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 579);