Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#10625090 |
| Fitting | C2×Q16×C23 ⋊ C2 |
| Sylow | C23 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
182 conjugacy classes — view the full character table.
| maximal subgroup of | #15675103, #15675108, #15675145, … |
| maximal normal subgroup of | #15675103, #15675108, #15675145, … |
| maximal quotient of | C2×#13092412, C2×#13092454, C2×#13092499, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1332);