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Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
---|---|---|---|---|---|---|
35T1 | $C_{35}$ | $35$ | $1$ | ✓ | $C_5$, $C_7$ | |
35T2 | $C_7\times D_5$ | $70$ | $1$ | ✓ | $D_{5}$, $C_7$ | |
35T3 | $C_5\times D_7$ | $70$ | $-1$ | ✓ | $C_5$, $D_{7}$ | |
35T4 | $D_{35}$ | $70$ | $-1$ | ✓ | $D_{5}$, $D_{7}$ | |
35T5 | $C_5\times C_7:C_3$ | $105$ | $1$ | ✓ | $C_5$, $C_7:C_3$ | |
35T6 | $C_7\times F_5$ | $140$ | $-1$ | ✓ | $F_5$, $C_7$ | |
35T7 | $D_5\times D_7$ | $140$ | $-1$ | ✓ | $D_{5}$, $D_{7}$ | |
35T8 | $C_7:F_5$ | $140$ | $1$ | ✓ | $F_5$, $D_{7}$ | |
35T9 | $D_5\times C_7:C_3$ | $210$ | $1$ | ✓ | $D_{5}$, $C_7:C_3$ | |
35T10 | $C_5\times F_7$ | $210$ | $-1$ | ✓ | $C_5$, $F_7$ | |
35T11 | $D_{35}:C_3$ | $210$ | $-1$ | ✓ | $D_{5}$, $F_7$ | |
35T12 | $D_7\times F_5$ | $280$ | $-1$ | ✓ | $F_5$, $D_{7}$ | |
35T13 | $C_7\times A_5$ | $420$ | $1$ | $A_5$, $C_7$ | 42T86 | |
35T14 | $F_5\times C_7:C_3$ | $420$ | $-1$ | ✓ | $F_5$, $C_7:C_3$ | |
35T15 | $D_5\times F_7$ | $420$ | $-1$ | ✓ | $D_{5}$, $F_7$ | |
35T16 | $D_5.F_7$ | $420$ | $1$ | ✓ | $F_5$, $F_7$ | |
35T17 | $C_7\times S_5$ | $840$ | $-1$ | $S_5$, $C_7$ | 42T138 | |
35T18 | $A_5\times D_7$ | $840$ | $-1$ | $A_5$, $D_{7}$ | 42T139 | |
35T19 | $C_7.S_5$ | $840$ | $1$ | $S_5$, $D_{7}$ | 42T140 | |
35T20 | $C_7:(C_6\times F_5)$ | $840$ | $-1$ | ✓ | $F_5$, $F_7$ | |
35T21 | $C_5\times \PSL(2,7)$ | $840$ | $1$ | $C_5$, $\GL(3,2)$ | 35T21, 40T885 | |
35T22 | $C_7:C_3\times A_5$ | $1260$ | $1$ | $A_5$, $C_7:C_3$ | 42T197 | |
35T23 | $S_5\times D_7$ | $1680$ | $-1$ | $S_5$, $D_{7}$ | 42T218 | |
35T24 | $\PSL(2,7)\times D_5$ | $1680$ | $1$ | $D_{5}$, $\GL(3,2)$ | 35T24, 40T1570 | |
35T25 | t35n25 | $2520$ | $-1$ | $S_5$, $C_7:C_3$ | 42T296 | |
35T26 | t35n26 | $2520$ | $1$ | $S_5$, $F_7$ | 42T298 | |
35T27 | t35n27 | $2520$ | $-1$ | $A_5$, $F_7$ | 42T297 | |
35T28 | $A_7$ | $2520$ | $1$ | 7T6, 15T47 x 2, 21T33, 42T294, 42T299 | ||
35T29 | t35n29 | $3360$ | $-1$ | $F_5$, $\GL(3,2)$ | 35T29, 40T2719 | |
35T30 | t35n30 | $5040$ | $-1$ | $S_5$, $F_7$ | 42T417 | |
35T31 | t35n31 | $5040$ | $1$ | 7T7, 14T46, 21T38, 30T565, 42T411, 42T412, 42T413, 42T418 | ||
35T32 | t35n32 | $10080$ | $1$ | $A_5$, $\GL(3,2)$ | 35T32, 40T5863, 42T552 x 2 | |
35T33 | t35n33 | $12005$ | $1$ | ✓ | $C_5$ | 35T33 x 79 |
35T34 | t35n34 | $12600$ | $1$ | $C_5$, $A_7$ | ||
35T35 | t35n35 | $20160$ | $-1$ | $S_5$, $\GL(3,2)$ | 35T35, 40T11250, 42T723 x 2 | |
35T36 | $A_8$ | $20160$ | $1$ | 8T49, 15T72 x 2, 28T433 | ||
35T37 | t35n37 | $24010$ | $-1$ | ✓ | $C_5$ | 35T37 x 79 |
35T38 | t35n38 | $24010$ | $1$ | ✓ | $D_{5}$ | 35T38 x 7, 35T39 x 8 |
35T39 | t35n39 | $24010$ | $-1$ | ✓ | $D_{5}$ | 35T38 x 8, 35T39 x 7 |
35T40 | t35n40 | $25200$ | $1$ | $D_{5}$, $A_7$ | ||
35T41 | t35n41 | $25200$ | $-1$ | $C_5$, $S_7$ | ||
35T42 | t35n42 | $25200$ | $-1$ | $D_{5}$, $S_7$ | ||
35T43 | t35n43 | $36015$ | $1$ | ✓ | $C_5$ | 35T43 x 79 |
35T44 | t35n44 | $40320$ | $1$ | 8T50, 16T1838, 28T502, 30T1153 | ||
35T45 | t35n45 | $48020$ | $-1$ | ✓ | $D_{5}$ | 35T45 x 15 |
35T46 | t35n46 | $48020$ | $-1$ | ✓ | $F_5$ | 35T47 |
35T47 | t35n47 | $48020$ | $1$ | ✓ | $F_5$ | 35T46 |
35T48 | t35n48 | $50400$ | $-1$ | $F_5$, $A_7$ | ||
35T49 | t35n49 | $50400$ | $-1$ | $D_{5}$, $S_7$ | ||
35T50 | t35n50 | $50400$ | $1$ | $F_5$, $S_7$ |
Results are complete for degrees $\leq 23$.