Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D23 |
| Fitting | C23×#101 ⋊ C2 |
| Sylow | C23 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
143 conjugacy classes — view the full character table.
| maximal subgroup of | D23×#355, D23×#356, #15675083, … |
| maximal normal subgroup of | D23×#355, D23×#356, #15675083, … |
| maximal quotient of | D23×#324, #15671719, #15671725, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 527);