Finite Group DatabasebetaFinite Group Databasebeta| order | 3616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D113 |
| Fitting | C22×C4×C113 ⋊ C2 |
| Sylow | C113 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1808 |
916 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3616, 107);