Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C4×C349 ⋊ C4 |
| Sylow | C349 ⋊ #117 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,349|a^2=e,c^2=d,b^a=bd,f^a=f^213,f^e=f^348716 conjugacy classes — view the full character table.
| maximal subgroup of | #36375011, #36375012, #36375015, … |
| maximal normal subgroup of | #36375011, #36375012, #36375015, … |
| maximal quotient of | #36375080, C4×C22⋊#13063703, C4×C4⋊#13063703, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 225);