Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#15667732 |
| Sylow | C353 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,353|a^2=d,d^2=e,b^a=bc,f^a=f^311,f^d=f^352724 conjugacy classes — view the full character table.
| maximal subgroup of | #36378630, #36378631, #36378632, … |
| maximal normal subgroup of | #36378630, #36378631, #36378632, … |
| maximal quotient of | #36378630, #36378632, D4⋊#15667732, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 202);