Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C23×#4313 |
| Fitting | C23×C8×C11 ⋊ C2 |
| Sylow | C11 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14658999, #14659024, #14659030, … |
| maximal normal subgroup of | #14658999, #14659024, #14659030, … |
| maximal quotient of | C23×#66879, C22×C4×#4313, C23×(C2×D11)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 19211);