Finite Group DatabasebetaFinite Group Databasebeta| order | 1312 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C41 ⋊ #101 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 656 |
Polycyclic presentation:
2^5,41|a^2=d,b^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^32,d^b=de,f^d=f^4091 conjugacy classes — view the full character table.
| maximal subgroup of | #14581244, #14581245, #14581246, … |
| maximal normal subgroup of | #14581244, #14581245, #14581246, … |
| maximal quotient of | #14581181, #14581182, #14581193, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1312, 207);