Finite Group DatabasebetaFinite Group Databasebeta| order | 17792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×#17984804 |
| Fitting | C4×C4⋊C4×C139 ⋊ C2 |
| Sylow | C139 ⋊ C42×D4 |
924 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8896 |
2840 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17792, 6855);