Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16840575 |
| Fitting | C22×Q16×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #29595702, #29595714, #29595743, … |
| maximal normal subgroup of | #29595702, #29595714, #29595743, … |
| maximal quotient of | C2×#21454347, C2×#21454415, C2×#21454656, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19273);