Finite Group DatabasebetaFinite Group Databasebeta| order | 1504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D47 |
| Fitting | C2×Q8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 752 |
250 conjugacy classes — view the full character table.
| maximal subgroup of | #101×D47, #103×D47, #15689130, … |
| maximal normal subgroup of | #101×D47, #103×D47, #15689130, … |
| maximal quotient of | C2×C4⋊C4×D47, C4×Q8×D47, C2×#13093989, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1504, 185);