Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#66879 |
| Sylow | C11 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14640630, C8×#66879, #14643125, … |
| maximal normal subgroup of | #14640630, C8×#66879, #14643125, … |
| maximal quotient of | C4×#10622093, C4×#10622092, C8×#66879, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4194);