Finite Group DatabasebetaFinite Group Databasebeta| order | 1312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10620272 |
| Fitting | C2×C8×C41 ⋊ C2 |
| Sylow | C41 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 656 |
340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14580117, C4×#10620272, #14580288, … |
| maximal normal subgroup of | #14580117, C4×#10620272, #14580288, … |
| maximal quotient of | C2×#13050074, C4×#10620272, C2×#13050076, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1312, 150);