Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16840565 |
| Fitting | C2×H(5,𝔽2)×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
1064 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29695912, #29695915, #29695939, … |
| maximal normal subgroup of | #29695912, #29695915, #29695939, … |
| maximal quotient of | C2×#21454342, C2×#21454345, C2×#21454417, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19261);