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Label | Dimension | Determinant | Level | Class number | Minimal vector | Aut. group order |
---|---|---|---|---|---|---|
5.1.2.1.1 | $5$ | $1$ | $2$ | $1$ | $1$ | $3840$ |
5.2.4.1.1 | $5$ | $2$ | $4$ | $1$ | $1$ | $768$ |
5.3.6.1.1 | $5$ | $3$ | $6$ | $1$ | $1$ | $768$ |
5.3.6.1.2 | $5$ | $3$ | $6$ | $1$ | $1$ | $576$ |
5.4.2.1.1 | $5$ | $4$ | $2$ | $1$ | $1$ | $2304$ |
5.4.4.1.1 | $5$ | $4$ | $4$ | $1$ | $1$ | $384$ |
5.4.8.1.1 | $5$ | $4$ | $8$ | $1$ | $1$ | $384$ |
5.4.8.1.2 | $5$ | $4$ | $8$ | $1$ | $1$ | $768$ |
5.4.8.1.3 | $5$ | $4$ | $8$ | $1$ | $2$ | $3840$ |
5.5.10.1.1 | $5$ | $5$ | $10$ | $1$ | $1$ | $192$ |
5.6.12.1.1 | $5$ | $6$ | $12$ | $1$ | $2$ | $1440$ |
5.6.12.1.2 | $5$ | $6$ | $12$ | $1$ | $1$ | $192$ |
5.7.14.1.1 | $5$ | $7$ | $14$ | $1$ | $1$ | $96$ |
5.8.4.1.1 | $5$ | $8$ | $4$ | $1$ | $2$ | $2304$ |
5.8.4.1.2 | $5$ | $8$ | $4$ | $1$ | $1$ | $384$ |
5.8.16.1.1 | $5$ | $8$ | $16$ | $1$ | $1$ | $192$ |
5.8.16.1.2 | $5$ | $8$ | $16$ | $1$ | $1$ | $192$ |
5.8.16.1.3 | $5$ | $8$ | $16$ | $1$ | $1$ | $128$ |
5.9.6.1.1 | $5$ | $9$ | $6$ | $1$ | $1$ | $192$ |
5.10.20.1.1 | $5$ | $10$ | $20$ | $1$ | $2$ | $480$ |
5.12.6.1.1 | $5$ | $12$ | $6$ | $1$ | $1$ | $192$ |
5.12.24.1.1 | $5$ | $12$ | $24$ | $1$ | $2$ | $768$ |
5.12.24.1.2 | $5$ | $12$ | $24$ | $1$ | $1$ | $64$ |
5.12.24.1.3 | $5$ | $12$ | $24$ | $1$ | $2$ | $576$ |
5.14.28.1.1 | $5$ | $14$ | $28$ | $1$ | $2$ | $240$ |
5.16.4.1.1 | $5$ | $16$ | $4$ | $1$ | $1$ | $768$ |
5.16.4.1.2 | $5$ | $16$ | $4$ | $1$ | $1$ | $384$ |
5.16.4.1.3 | $5$ | $16$ | $4$ | $1$ | $2$ | $384$ |
5.16.8.1.1 | $5$ | $16$ | $8$ | $1$ | $1$ | $128$ |
5.16.8.1.2 | $5$ | $16$ | $8$ | $1$ | $2$ | $384$ |
5.16.8.1.3 | $5$ | $16$ | $8$ | $1$ | $1$ | $128$ |
5.16.8.1.4 | $5$ | $16$ | $8$ | $1$ | $1$ | $192$ |
5.16.8.1.5 | $5$ | $16$ | $8$ | $1$ | $1$ | $384$ |
5.16.8.1.6 | $5$ | $16$ | $8$ | $1$ | $2$ | $768$ |
5.16.8.1.7 | $5$ | $16$ | $8$ | $1$ | $2$ | $2304$ |
5.16.32.1.1 | $5$ | $16$ | $32$ | $1$ | $2$ | $240$ |
5.16.32.1.2 | $5$ | $16$ | $32$ | $1$ | $1$ | $48$ |
5.18.12.1.1 | $5$ | $18$ | $12$ | $1$ | $2$ | $576$ |
5.20.40.1.1 | $5$ | $20$ | $40$ | $1$ | $2$ | $192$ |
5.22.44.1.1 | $5$ | $22$ | $44$ | $1$ | $2$ | $96$ |
5.24.12.1.1 | $5$ | $24$ | $12$ | $1$ | $2$ | $192$ |
5.24.48.1.1 | $5$ | $24$ | $48$ | $1$ | $2$ | $144$ |
5.24.48.1.2 | $5$ | $24$ | $48$ | $1$ | $2$ | $240$ |
5.27.6.1.1 | $5$ | $27$ | $6$ | $1$ | $1$ | $192$ |
5.27.18.1.1 | $5$ | $27$ | $18$ | $1$ | $1$ | $64$ |
5.28.56.1.1 | $5$ | $28$ | $56$ | $1$ | $2$ | $96$ |
5.30.60.1.1 | $5$ | $30$ | $60$ | $1$ | $2$ | $96$ |
5.32.4.1.1 | $5$ | $32$ | $4$ | $1$ | $1$ | $192$ |
5.32.8.1.1 | $5$ | $32$ | $8$ | $1$ | $1$ | $192$ |
5.32.8.1.2 | $5$ | $32$ | $8$ | $1$ | $2$ | $192$ |