Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
| direct product | D4⋊C8×#6923 |
| Fitting | C61×D4⋊C8 ⋊ C4 |
| Sylow | C61 ⋊ C4×D4⋊C8 |
774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
532 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1087100);