Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10625119 |
| Sylow | C23 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15673199, #15673200, #15673235, … |
| maximal normal subgroup of | #15673199, #15673200, #15673235, … |
| maximal quotient of | C2×#13092373, C4×#10625119, C2×#13092384, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1312);