Finite Group DatabasebetaFinite Group Databasebeta| order | 1312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10620301 |
| Sylow | C41 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 656 |
100 conjugacy classes — view the full character table.
| maximal subgroup of | #14581216, #14581217, C4×#10620301, … |
| maximal normal subgroup of | #14581216, #14581217, C4×#10620301, … |
| maximal quotient of | C2×#13050219, C4×#10620301, C2×C22⋊#66493, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1312, 230);