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Results (1-50 of 407 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
35T1 $C_{35}$ $35$ $1$ yes $C_5$, $C_7$
35T2 $C_7\times D_5$ $70$ $1$ yes $D_{5}$, $C_7$
35T3 $C_5\times D_7$ $70$ $-1$ yes $C_5$, $D_{7}$
35T4 $D_{35}$ $70$ $-1$ yes $D_{5}$, $D_{7}$
35T5 $C_5\times C_7:C_3$ $105$ $1$ yes $C_5$, $C_7:C_3$
35T6 $C_7\times F_5$ $140$ $-1$ yes $F_5$, $C_7$
35T7 $D_5\times D_7$ $140$ $-1$ yes $D_{5}$, $D_{7}$
35T8 $C_7:F_5$ $140$ $1$ yes $F_5$, $D_{7}$
35T9 $D_5\times C_7:C_3$ $210$ $1$ yes $D_{5}$, $C_7:C_3$
35T10 $C_5\times F_7$ $210$ $-1$ yes $C_5$, $F_7$
35T11 $D_{35}:C_3$ $210$ $-1$ yes $D_{5}$, $F_7$
35T12 $D_7\times F_5$ $280$ $-1$ yes $F_5$, $D_{7}$
35T13 $C_7\times A_5$ $420$ $1$ no $A_5$, $C_7$ 42T86
35T14 $F_5\times C_7:C_3$ $420$ $-1$ yes $F_5$, $C_7:C_3$
35T15 $D_5\times F_7$ $420$ $-1$ yes $D_{5}$, $F_7$
35T16 $D_5.F_7$ $420$ $1$ yes $F_5$, $F_7$
35T17 t35n17 $840$ $-1$ no $S_5$, $C_7$ 42T138
35T18 t35n18 $840$ $-1$ no $A_5$, $D_{7}$ 42T139
35T19 t35n19 $840$ $1$ no $S_5$, $D_{7}$ 42T140
35T20 t35n20 $840$ $-1$ yes $F_5$, $F_7$
35T21 t35n21 $840$ $1$ no $C_5$, $\GL(3,2)$ 35T21, 40T885
35T22 t35n22 $1260$ $1$ no $A_5$, $C_7:C_3$ 42T197
35T23 t35n23 $1680$ $-1$ no $S_5$, $D_{7}$ 42T218
35T24 t35n24 $1680$ $1$ no $D_{5}$, $\GL(3,2)$ 35T24, 40T1570
35T25 t35n25 $2520$ $-1$ no $S_5$, $C_7:C_3$ 42T296
35T26 t35n26 $2520$ $1$ no $S_5$, $F_7$ 42T298
35T27 t35n27 $2520$ $-1$ no $A_5$, $F_7$ 42T297
35T28 $A_7$ $2520$ $1$ no 7T6, 15T47 x 2, 21T33, 42T294, 42T299
35T29 t35n29 $3360$ $-1$ no $F_5$, $\GL(3,2)$ 35T29, 40T2719
35T30 t35n30 $5040$ $-1$ no $S_5$, $F_7$ 42T417
35T31 t35n31 $5040$ $1$ no 7T7, 14T46, 21T38, 30T565, 42T411, 42T412, 42T413, 42T418
35T32 t35n32 $10080$ $1$ no $A_5$, $\GL(3,2)$ 35T32, 40T5863, 42T552 x 2
35T33 t35n33 $12005$ $1$ yes $C_5$ 35T33 x 79
35T34 t35n34 $12600$ $1$ no $C_5$, $A_7$
35T35 t35n35 $20160$ $-1$ no $S_5$, $\GL(3,2)$ 35T35, 40T11250, 42T723 x 2
35T36 $A_8$ $20160$ $1$ no 8T49, 15T72 x 2, 28T433
35T37 t35n37 $24010$ $-1$ yes $C_5$ 35T37 x 79
35T38 t35n38 $24010$ $1$ yes $D_{5}$ 35T38 x 7, 35T39 x 8
35T39 t35n39 $24010$ $-1$ yes $D_{5}$ 35T38 x 8, 35T39 x 7
35T40 t35n40 $25200$ $1$ no $D_{5}$, $A_7$
35T41 t35n41 $25200$ $-1$ no $C_5$, $S_7$
35T42 t35n42 $25200$ $-1$ no $D_{5}$, $S_7$
35T43 t35n43 $36015$ $1$ yes $C_5$ 35T43 x 79
35T44 t35n44 $40320$ $1$ no 8T50, 16T1838, 28T502, 30T1153
35T45 t35n45 $48020$ $-1$ yes $D_{5}$ 35T45 x 15
35T46 t35n46 $48020$ $-1$ yes $F_5$ 35T47
35T47 t35n47 $48020$ $1$ yes $F_5$ 35T46
35T48 t35n48 $50400$ $-1$ no $F_5$, $A_7$
35T49 t35n49 $50400$ $-1$ no $D_{5}$, $S_7$
35T50 t35n50 $50400$ $1$ no $F_5$, $S_7$
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Results are complete for degrees $\leq 23$.