Order 232.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | C17 | C18 | C19 | C20 | C21 | C22 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 29 | 29 | 29 | 1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 29 | 29 | 29 |
| order | 1 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 2 | 4 | 4 | 2 | 58 | 58 | 58 | 58 | 58 | 58 | 58 | 2 | 4 | 4 |
| χ1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| χ2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 |
| χ3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | ||||
| χ4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | ||||
| χ5 | 4 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ22−ζ26−ζ90−ζ94 | −ζ2−ζ34−ζ82−ζ114 | 0 | 0 | 0 | 4 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ22−ζ26−ζ90−ζ94 | −ζ2−ζ34−ζ82−ζ114 | 0 | 0 | 0 |
| χ6 | 4 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ10−ζ54−ζ62−ζ106 | −ζ22−ζ26−ζ90−ζ94 | 0 | 0 | 0 | 4 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ10−ζ54−ζ62−ζ106 | −ζ22−ζ26−ζ90−ζ94 | 0 | 0 | 0 |
| χ7 | 4 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ6−ζ14−ζ102−ζ110 | −ζ10−ζ54−ζ62−ζ106 | 0 | 0 | 0 | 4 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ6−ζ14−ζ102−ζ110 | −ζ10−ζ54−ζ62−ζ106 | 0 | 0 | 0 |
| χ8 | 4 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ38−ζ50−ζ66−ζ78 | −ζ6−ζ14−ζ102−ζ110 | 0 | 0 | 0 | 4 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ38−ζ50−ζ66−ζ78 | −ζ6−ζ14−ζ102−ζ110 | 0 | 0 | 0 |
| χ9 | 4 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ30−ζ46−ζ70−ζ86 | −ζ38−ζ50−ζ66−ζ78 | 0 | 0 | 0 | 4 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ30−ζ46−ζ70−ζ86 | −ζ38−ζ50−ζ66−ζ78 | 0 | 0 | 0 |
| χ10 | 4 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ2−ζ34−ζ82−ζ114 | −ζ18−ζ42−ζ74−ζ98 | 0 | 0 | 0 | 4 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ2−ζ34−ζ82−ζ114 | −ζ18−ζ42−ζ74−ζ98 | 0 | 0 | 0 |
| χ11 | 4 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ18−ζ42−ζ74−ζ98 | −ζ30−ζ46−ζ70−ζ86 | 0 | 0 | 0 | 4 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ18−ζ42−ζ74−ζ98 | −ζ30−ζ46−ζ70−ζ86 | 0 | 0 | 0 |
| χ12 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
| χ13 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 |
| χ14 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | ||||
| χ15 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | ||||
| χ16 | 4 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ22−ζ26−ζ90−ζ94 | −ζ2−ζ34−ζ82−ζ114 | 0 | 0 | 0 | -4 | ζ10+ζ54+ζ62+ζ106 | ζ6+ζ14+ζ102+ζ110 | ζ38+ζ50+ζ66+ζ78 | ζ30+ζ46+ζ70+ζ86 | ζ18+ζ42+ζ74+ζ98 | ζ22+ζ26+ζ90+ζ94 | ζ2+ζ34+ζ82+ζ114 | 0 | 0 | 0 |
| χ17 | 4 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ10−ζ54−ζ62−ζ106 | −ζ22−ζ26−ζ90−ζ94 | 0 | 0 | 0 | -4 | ζ6+ζ14+ζ102+ζ110 | ζ38+ζ50+ζ66+ζ78 | ζ30+ζ46+ζ70+ζ86 | ζ18+ζ42+ζ74+ζ98 | ζ2+ζ34+ζ82+ζ114 | ζ10+ζ54+ζ62+ζ106 | ζ22+ζ26+ζ90+ζ94 | 0 | 0 | 0 |
| χ18 | 4 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ6−ζ14−ζ102−ζ110 | −ζ10−ζ54−ζ62−ζ106 | 0 | 0 | 0 | -4 | ζ38+ζ50+ζ66+ζ78 | ζ30+ζ46+ζ70+ζ86 | ζ18+ζ42+ζ74+ζ98 | ζ2+ζ34+ζ82+ζ114 | ζ22+ζ26+ζ90+ζ94 | ζ6+ζ14+ζ102+ζ110 | ζ10+ζ54+ζ62+ζ106 | 0 | 0 | 0 |
| χ19 | 4 | −ζ30−ζ46−ζ70−ζ86 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ38−ζ50−ζ66−ζ78 | −ζ6−ζ14−ζ102−ζ110 | 0 | 0 | 0 | -4 | ζ30+ζ46+ζ70+ζ86 | ζ18+ζ42+ζ74+ζ98 | ζ2+ζ34+ζ82+ζ114 | ζ22+ζ26+ζ90+ζ94 | ζ10+ζ54+ζ62+ζ106 | ζ38+ζ50+ζ66+ζ78 | ζ6+ζ14+ζ102+ζ110 | 0 | 0 | 0 |
| χ20 | 4 | −ζ18−ζ42−ζ74−ζ98 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ30−ζ46−ζ70−ζ86 | −ζ38−ζ50−ζ66−ζ78 | 0 | 0 | 0 | -4 | ζ18+ζ42+ζ74+ζ98 | ζ2+ζ34+ζ82+ζ114 | ζ22+ζ26+ζ90+ζ94 | ζ10+ζ54+ζ62+ζ106 | ζ6+ζ14+ζ102+ζ110 | ζ30+ζ46+ζ70+ζ86 | ζ38+ζ50+ζ66+ζ78 | 0 | 0 | 0 |
| χ21 | 4 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ30−ζ46−ζ70−ζ86 | −ζ2−ζ34−ζ82−ζ114 | −ζ18−ζ42−ζ74−ζ98 | 0 | 0 | 0 | -4 | ζ22+ζ26+ζ90+ζ94 | ζ10+ζ54+ζ62+ζ106 | ζ6+ζ14+ζ102+ζ110 | ζ38+ζ50+ζ66+ζ78 | ζ30+ζ46+ζ70+ζ86 | ζ2+ζ34+ζ82+ζ114 | ζ18+ζ42+ζ74+ζ98 | 0 | 0 | 0 |
| χ22 | 4 | −ζ2−ζ34−ζ82−ζ114 | −ζ22−ζ26−ζ90−ζ94 | −ζ10−ζ54−ζ62−ζ106 | −ζ6−ζ14−ζ102−ζ110 | −ζ38−ζ50−ζ66−ζ78 | −ζ18−ζ42−ζ74−ζ98 | −ζ30−ζ46−ζ70−ζ86 | 0 | 0 | 0 | -4 | ζ2+ζ34+ζ82+ζ114 | ζ22+ζ26+ζ90+ζ94 | ζ10+ζ54+ζ62+ζ106 | ζ6+ζ14+ζ102+ζ110 | ζ38+ζ50+ζ66+ζ78 | ζ18+ζ42+ζ74+ζ98 | ζ30+ζ46+ζ70+ζ86 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 116 (ζ116 = 1); i = ζ29.