Finite Group DatabasebetaFinite Group Databasebeta| order | 11216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C701 ⋊ C2 |
| Sylow | C701 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,701|a^2=d,b^a=bc,e^b=e^7002810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊C4×D701, C2×#26014283, #36376057, … |
| maximal normal subgroup of | C22⋊C4×D701, C2×#26014283, #36376057, … |
| maximal quotient of | #36376007, #36376012, #36376014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11216, 17);