Finite Group DatabasebetaFinite Group Databasebeta| order | 9376 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#11924078 |
| unambiguous semidirect product | D293⋊(C4⋊C4) |
| Fitting | C2×C4×C293 ⋊ C4 |
| Sylow | C293 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
604 conjugacy classes — view the full character table.
| maximal subgroup of | #34037002, #34037003, #34037008, … |
| maximal normal subgroup of | #34037002, #34037003, #34037008, … |
| maximal quotient of | C2×(C2×#11924078)⋊C4, C4×C4⋊#11924078, #34037071, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9376, 224);