Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C353 ⋊ M32 |
26 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,353|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^283,f^b=f^352,f^c=f^311,f^d=f^352196 conjugacy classes — view the full character table.
| maximal subgroup of | #36378887, #36378888, #36378891, … |
| maximal normal subgroup of | #36378887, #36378888, #36378891, … |
| maximal quotient of | #36378881, #36378884, C4⋊#19150749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 243);