Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#10623182 |
| Sylow | C11 ⋊ C2×#563 |
1024 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
178 conjugacy classes — view the full character table.
| maximal subgroup of | #14669601, #14669602, C2×#13070627, … |
| maximal normal subgroup of | #14669601, #14669602, C2×#13070627, … |
| maximal quotient of | C2×#13071759, C2×#13071764, C2×#13071783, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 18643);