Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622734 |
| Sylow | C11 ⋊ C2×#428 |
536 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14659855, #14659857, #14659876, … |
| maximal normal subgroup of | #14659855, #14659857, #14659876, … |
| maximal quotient of | C2×#13067368, C2×#13067383, #14722802, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13095);