Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#10624988 |
| Fitting | C2×C22⋊C4×C23 ⋊ C2 |
| Sylow | C23 ⋊ C2×#99 |
210 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 368 |
242 conjugacy classes — view the full character table.
| maximal subgroup of | #15673184, C4×#10624988, #15673310, … |
| maximal normal subgroup of | #15673184, C4×#10624988, #15673310, … |
| maximal quotient of | C2×#13092140, C2×#13092142, #15671713, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 519);