Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C2×C22⋊C8×D61 |
| Fitting | C2×C22⋊C8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C22×C22⋊C8 |
1072 conjugacy classes of subgroups.
1280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D61×#1280, #29569605, #29569623, … |
| maximal normal subgroup of | D61×#1280, #29569605, #29569623, … |
| maximal quotient of | C2×#323×D61, C2×#324×D61, D61×#1458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 12940);