Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C4⋊C8×D23 |
| Fitting | C23×C4⋊C8 ⋊ C2 |
| Sylow | C23 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D23×D4⋊C8, D23×Q8⋊C8, #15671781, … |
| maximal normal subgroup of | D23×D4⋊C8, D23×Q8⋊C8, #15671781, … |
| maximal quotient of | D23×#334, D23×#335, #15672142, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 568);