Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C43 ⋊ #137 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 688 |
Polycyclic presentation:
2^5,43|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,d^b=de,f^b=f^42221 conjugacy classes — view the full character table.
| maximal subgroup of | #14583077, #14583078, #14583082, … |
| maximal normal subgroup of | #14583077, #14583078, #14583082, … |
| maximal quotient of | #14582900, #14582907, #14582942, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 176);