Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#10622195 |
| Sylow | C11 ⋊ C2×H(3,ℤ/4) |
404 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14640904, #14640906, #14640910, … |
| maximal normal subgroup of | #14640904, #14640906, #14640910, … |
| maximal quotient of | C2×#13066444, #14643171, #14643174, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4211);