Finite Group DatabasebetaFinite Group Databasebeta| order | 1312 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic164 |
| Sylow | C41 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1312 |
334 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14580139, #14580141, #14580151, … |
| maximal normal subgroup of | #14580139, #14580141, #14580151, … |
| maximal quotient of | C2×#13050089, C2×#13050098, C4×Dic164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1312, 164);