Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4⋊C4×C353 ⋊ C2 |
| Sylow | C353 ⋊ #117 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,353|a^2=e,c^2=d,b^a=bd,f^b=f^352,f^c=f^3521780 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36377780, #36377782, #36377790, … |
| maximal normal subgroup of | #36377780, #36377782, #36377790, … |
| maximal quotient of | #36377632, #36377634, C4⋊C4×Dic353, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 104);