Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#10624997 |
| Sylow | C23 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671476, #15671480, #97×Dic23, … |
| maximal normal subgroup of | #15671476, #15671480, #97×Dic23, … |
| maximal quotient of | C2×#13092138, C2×#13092139, #15671686, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 497);