Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#16839524 |
| Sylow | C61 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
1256 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #340×Dic61, C4×#16839524, #29585195, … |
| maximal normal subgroup of | #340×Dic61, C4×#16839524, #29585195, … |
| maximal quotient of | C2×#21443653, #29569478, #29569488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4223);