Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#10625069 |
| Fitting | C2×C4⋊C4×C23 ⋊ C2 |
| Sylow | C23 ⋊ C2×#126 |
246 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 111 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 736 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #15671765, #15675947, C4×#10625069, … |
| maximal normal subgroup of | #15671765, #15675947, C4×#10625069, … |
| maximal quotient of | C2×#13092284, C2×#13092298, C2×#13092300, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1075);