Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×C23⋊#95 |
| unambiguous semidirect product | (C2×C23)⋊#95 |
| Sylow | C23 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671239, #15671275, #15671277, … |
| maximal normal subgroup of | #15671239, #15671275, #15671277, … |
| maximal quotient of | C4×C23⋊#95, #15671619, #15671620, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 393);