Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14519803 |
| Fitting | C2×C4×D4×C61 ⋊ C2 |
| Sylow | C61 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29574634, #29574640, #29574648, … |
| maximal normal subgroup of | #29574634, #29574640, #29574648, … |
| maximal quotient of | C8×#14519803, #29649596, #29649616, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13318);