Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 688 |
Polycyclic presentation:
2^5,43|a^2=d,d^2=e,c^b=ce,f^c=f^42356 conjugacy classes — view the full character table.
| maximal subgroup of | #14582682, #14582684, #14583014, … |
| maximal normal subgroup of | #14582682, #14582684, #14583014, … |
| maximal quotient of | #14582853, #14582854, #14582864, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 152);