Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic674 |
| Sylow | C337 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
2708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341035, #36341037, C4×#19129173, … |
| maximal normal subgroup of | #36341035, #36341037, C4×#19129173, … |
| maximal quotient of | C4×C4⋊Dic337, C4×#19129164, #36341188, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 112);