Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16839879 |
| Sylow | C61 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #29595250, #29595252, #29595257, … |
| maximal normal subgroup of | #29595250, #29595252, #29595257, … |
| maximal quotient of | C2×D8×#92418, C2×SD16×#92418, C2×Q16×#92418, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13400);