Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊(C23⋊C8) |
| Sylow | C23 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671231, #15671232, #15671237, … |
| maximal normal subgroup of | #15671231, #15671232, #15671237, … |
| maximal quotient of | C2×#13092168, C2×#13092170, #15672145, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 570);