Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic23 |
| Sylow | C23 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15673188, #100×Dic23, #15673192, … |
| maximal normal subgroup of | #15673188, #100×Dic23, #15673192, … |
| maximal quotient of | M16×C23⋊C8, #15671678, #15671684, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 500);