Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| isoclinism | isoclinic class of #261 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8×C16 · Schur multiplier (H2) = C22×C8 |
| direct product | C16×D13⋊C8 |
| derived, Sylow | C13 ⋊ C2×C8×C16 |
398 conjugacy classes of subgroups; only the 228 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 228 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1664 |
448 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1093220);