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| Label | Dimension | Determinant | Level | Class number | Minimal vector | Aut. group order |
|---|---|---|---|---|---|---|
| 7.1.2.1.1 | $7$ | $1$ | $2$ | $1$ | $1$ | $645120$ |
| 7.2.4.1.1 | $7$ | $2$ | $4$ | $1$ | $1$ | $92160$ |
| 7.2.4.1.2 | $7$ | $2$ | $4$ | $1$ | $2$ | $2903040$ |
| 7.3.6.1.1 | $7$ | $3$ | $6$ | $1$ | $1$ | $46080$ |
| 7.4.2.1.1 | $7$ | $4$ | $2$ | $1$ | $1$ | $55296$ |
| 7.4.8.1.1 | $7$ | $4$ | $8$ | $1$ | $1$ | $18432$ |
| 7.4.8.1.2 | $7$ | $4$ | $8$ | $1$ | $2$ | $645120$ |
| 7.6.12.1.1 | $7$ | $6$ | $12$ | $1$ | $2$ | $207360$ |
| 7.8.4.1.1 | $7$ | $8$ | $4$ | $1$ | $2$ | $92160$ |
| 7.8.16.1.1 | $7$ | $8$ | $16$ | $1$ | $2$ | $80640$ |
| 7.8.16.1.2 | $7$ | $8$ | $16$ | $1$ | $2$ | $103680$ |
| 7.8.16.1.3 | $7$ | $8$ | $16$ | $1$ | $2$ | $80640$ |
| 7.10.20.1.1 | $7$ | $10$ | $20$ | $1$ | $2$ | $46080$ |
| 7.12.24.1.1 | $7$ | $12$ | $24$ | $1$ | $2$ | $46080$ |
| 7.16.2.1.1 | $7$ | $16$ | $2$ | $1$ | $1$ | $92160$ |
| 7.16.8.1.1 | $7$ | $16$ | $8$ | $1$ | $1$ | $6144$ |
| 7.16.8.1.2 | $7$ | $16$ | $8$ | $1$ | $2$ | $55296$ |
| 7.16.32.1.1 | $7$ | $16$ | $32$ | $1$ | $2$ | $10080$ |
| 7.18.36.1.1 | $7$ | $18$ | $36$ | $1$ | $2$ | $7680$ |
| 7.24.48.1.1 | $7$ | $24$ | $48$ | $1$ | $2$ | $5760$ |
| 7.32.4.1.1 | $7$ | $32$ | $4$ | $1$ | $2$ | $55296$ |
| 7.32.4.1.2 | $7$ | $32$ | $4$ | $1$ | $2$ | $8640$ |
| 7.32.16.1.1 | $7$ | $32$ | $16$ | $1$ | $2$ | $2880$ |
| 7.32.16.1.2 | $7$ | $32$ | $16$ | $1$ | $2$ | $9216$ |
| 7.32.16.1.3 | $7$ | $32$ | $16$ | $1$ | $2$ | $15360$ |
| 7.64.2.1.1 | $7$ | $64$ | $2$ | $1$ | $3$ | $2903040$ |
| 7.64.4.1.1 | $7$ | $64$ | $4$ | $1$ | $1$ | $92160$ |
| 7.64.8.1.1 | $7$ | $64$ | $8$ | $1$ | $2$ | $92160$ |
| 7.64.8.1.2 | $7$ | $64$ | $8$ | $1$ | $1$ | $46080$ |
| 7.64.8.1.3 | $7$ | $64$ | $8$ | $1$ | $2$ | $92160$ |
| 7.64.32.1.1 | $7$ | $64$ | $32$ | $1$ | $2$ | $1152$ |
| 7.128.4.1.1 | $7$ | $128$ | $4$ | $1$ | $2$ | $4608$ |
| 7.128.16.1.1 | $7$ | $128$ | $16$ | $1$ | $2$ | $18432$ |
| 7.128.16.1.2 | $7$ | $128$ | $16$ | $1$ | $2$ | $55296$ |
| 7.128.16.1.3 | $7$ | $128$ | $16$ | $1$ | $2$ | $1536$ |
| 7.128.16.1.4 | $7$ | $128$ | $16$ | $1$ | $2$ | $1440$ |
| 7.128.16.1.5 | $7$ | $128$ | $16$ | $1$ | $2$ | $864$ |
| 7.192.6.1.1 | $7$ | $192$ | $6$ | $1$ | $1$ | $207360$ |
| 7.256.4.1.1 | $7$ | $256$ | $4$ | $1$ | $3$ | $92160$ |
| 7.256.8.1.1 | $7$ | $256$ | $8$ | $1$ | $3$ | $46080$ |
| 7.256.8.1.2 | $7$ | $256$ | $8$ | $1$ | $1$ | $92160$ |
| 7.256.32.1.1 | $7$ | $256$ | $32$ | $1$ | $2$ | $2304$ |
| 7.320.10.1.1 | $7$ | $320$ | $10$ | $1$ | $3$ | $46080$ |
| 7.512.4.1.1 | $7$ | $512$ | $4$ | $1$ | $2$ | $8640$ |
| 7.512.16.1.1 | $7$ | $512$ | $16$ | $1$ | $2$ | $576$ |
| 7.512.16.1.2 | $7$ | $512$ | $16$ | $1$ | $2$ | $1536$ |
| 7.512.16.1.3 | $7$ | $512$ | $16$ | $1$ | $2$ | $4608$ |
| 7.576.18.1.1 | $7$ | $576$ | $18$ | $1$ | $3$ | $7680$ |
| 7.729.6.1.1 | $7$ | $729$ | $6$ | $1$ | $2$ | $46080$ |
| 7.1024.4.1.1 | $7$ | $1024$ | $4$ | $1$ | $3$ | $55296$ |