Finite Group DatabasebetaFinite Group Databasebeta| order | 5312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D83 |
| Fitting | #101×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
473 conjugacy classes — view the full character table.
| maximal subgroup of | #355×D83, #356×D83, #24909149, … |
| maximal normal subgroup of | #355×D83, #356×D83, #24909149, … |
| maximal quotient of | #343×D83, #24907258, #101×Dic83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5312, 527);