Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C353 ⋊ #100 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,353|a^2=d,d^2=e,b^a=bc,c^a=ce,f^a=f^311,d^b=de,f^d=f^352715 conjugacy classes — view the full character table.
| maximal subgroup of | #36378687, #36378688, #36378689, … |
| maximal normal subgroup of | #36378687, #36378688, #36378689, … |
| maximal quotient of | #36378630, #36378631, #36378642, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 206);