Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| isoclinism | isoclinic class of #4314 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#66883 |
| Sylow | C11 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14640690, #14640691, #14640693, … |
| maximal normal subgroup of | #14640690, #14640691, #14640693, … |
| maximal quotient of | C4×#10622095, C4×#10622096, #14644962, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4412);