Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#10622541 |
| Sylow | C11 ⋊ C2×#389 |
800 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#13066438, C2×#13066440, #14641761, … |
| maximal normal subgroup of | C2×#13066438, C2×#13066440, #14641761, … |
| maximal quotient of | C2×#13066846, C2×#13066849, C4×#10622541, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6961);