Finite Group DatabasebetaFinite Group Databasebeta| order | 11216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1402 |
| unambiguous semidirect product | (C2×C701)⋊Q8 |
| Sylow | C701 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
2810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36376018, #36376023, #36376025, … |
| maximal normal subgroup of | #36376018, #36376023, #36376025, … |
| maximal quotient of | C2×#26014285, C2×C4⋊Dic701, C4×Dic1402, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11216, 38);