Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#10623350 |
| Sylow | C11 ⋊ C2×#568 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14659100, #14659103, #14659110, … |
| maximal normal subgroup of | #14659100, #14659103, #14659110, … |
| maximal quotient of | C2×#13077035, C2×#13077044, C4×#10623350, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 19220);