Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C353 ⋊ #131 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,353|a^2=d,d^2=e,f^a=f^311,c^b=ce,f^d=f^352460 conjugacy classes — view the full character table.
| maximal subgroup of | #36378829, #36378830, #36378832, … |
| maximal normal subgroup of | #36378829, #36378830, #36378832, … |
| maximal quotient of | #36378751, #36378752, #36378760, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 233);