Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C349 ⋊ C4 |
| Sylow | C349 ⋊ #97 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,349|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^213,f^d=f^348716 conjugacy classes — view the full character table.
| maximal subgroup of | #36375034, #36375035, C2×#26013693, … |
| maximal normal subgroup of | #36375034, #36375035, C2×#26013693, … |
| maximal quotient of | #36374985, #14584102⋊C8, (C2×#13063703)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 200);