Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D107 |
| Fitting | C2×Q16×C107 ⋊ C2 |
| Sylow | C107 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | #358×D107, #28338179, #362×D107, … |
| maximal normal subgroup of | #358×D107, #28338179, #362×D107, … |
| maximal quotient of | C2×#103×D107, C2×#107×D107, C4×Q16×D107, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 1324);