Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C4×C353 ⋊ C4 |
| Sylow | C353 ⋊ #117 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,353|a^2=e,c^2=d,b^a=bd,f^a=f^311,f^e=f^352724 conjugacy classes — view the full character table.
| maximal subgroup of | #36378654, #36378655, #36378658, … |
| maximal normal subgroup of | #36378654, #36378655, #36378658, … |
| maximal quotient of | #36378723, C4×C22⋊#13083443, C4×C4⋊#13083443, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 225);