Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic172 |
| Sylow | C43 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1376 |
350 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14582702, #14582704, #14582714, … |
| maximal normal subgroup of | #14582702, #14582704, #14582714, … |
| maximal quotient of | C2×#13063250, C2×#13063259, C4×Dic172, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 164);