Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10621885 |
| Sylow | C43 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1376 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | #14582991, C4×#10621885, #14583003, … |
| maximal normal subgroup of | #14582991, C4×#10621885, #14583003, … |
| maximal quotient of | C2×#13063248, C2×#13063249, C2×#13063258, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 163);