Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#10625059 |
| Sylow | C23 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #15674343, #15674347, #15674356, … |
| maximal normal subgroup of | #15674343, #15674347, #15674356, … |
| maximal quotient of | C2×#13092286, C2×#13092313, C2×#13092314, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1092);