Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#10622099 |
| Sylow | C11 ⋊ C2×#346 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14640602, #14640603, #14640609, … |
| maximal normal subgroup of | #14640602, #14640603, #14640609, … |
| maximal quotient of | C2×#13066533, C2×#13066534, #14662790, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6100);