## Results (1-50 of at least 5000)

Next
Label Name Order Parity Solvable Subfields Low Degree Siblings
45T1 $C_{45}$ $45$ $1$ yes $C_3$, $C_5$, $C_9$, $C_{15}$
45T2 $C_3\times C_{15}$ $45$ $1$ yes $C_3$ x 4, $C_5$, $C_3^2$, $C_{15}$ x 4
45T3 $C_{15}\times S_3$ $90$ $-1$ yes $C_3$, $S_3$, $C_5$, $S_3\times C_3$, $C_{15}$, $S_3 \times C_5$
45T4 $D_{45}$ $90$ $1$ yes $S_3$, $D_{5}$, $D_{9}$, $D_{15}$
45T5 $C_3\times D_{15}$ $90$ $-1$ yes $C_3$, $S_3$, $D_{5}$, $S_3\times C_3$, $D_{15}$, $D_5\times C_3$
45T6 $C_3:D_{15}$ $90$ $1$ yes $S_3$ x 4, $D_{5}$, $C_3^2:C_2$, $D_{15}$ x 4
45T7 $C_9\times D_5$ $90$ $1$ yes $C_3$, $D_{5}$, $C_9$, $D_5\times C_3$
45T8 $C_3^2\times D_5$ $90$ $1$ yes $C_3$ x 4, $D_{5}$, $C_3^2$, $D_5\times C_3$ x 4
45T9 $C_5\times D_9$ $90$ $1$ yes $S_3$, $C_5$, $D_{9}$, $S_3 \times C_5$
45T10 $C_5\times C_3:S_3$ $90$ $1$ yes $S_3$ x 4, $C_5$, $C_3^2:C_2$, $S_3 \times C_5$ x 4
45T11 $C_5\times He_3$ $135$ $1$ yes $C_3$, $C_5$, $C_3^2:C_3$, $C_{15}$
45T12 $C_5\times C_9:C_3$ $135$ $1$ yes $C_3$, $C_5$, $C_9:C_3$, $C_{15}$
45T13 $S_3\times D_{15}$ $180$ $-1$ yes $S_3$ x 2, $D_{5}$, $S_3^2$, $D_{15}$, $D_5\times S_3$
45T14 $C_3\times S_3\times D_5$ $180$ $-1$ yes $C_3$, $S_3$, $D_{5}$, $S_3\times C_3$, $D_5\times C_3$, $D_5\times S_3$
45T15 $C_5\times S_3^2$ $180$ $-1$ yes $S_3$ x 2, $C_5$, $S_3^2$, $S_3 \times C_5$ x 2
45T16 $C_3\times A_5$ $180$ $1$ no $C_3$, $A_5$, $A_5$, $\GL(2,4)$ x 2, $\GL(2,4)$
45T17 $C_9:F_5$ $180$ $-1$ yes $S_3$, $F_5$, $D_{9}$, $C_{15} : C_4$
45T18 $C_3\times C_3:F_5$ $180$ $1$ yes $C_3$, $S_3$, $F_5$, $S_3\times C_3$, $C_{15} : C_4$, $F_5\times C_3$
45T19 $C_3^2:F_5$ $180$ $-1$ yes $S_3$ x 4, $F_5$, $C_3^2:C_2$, $C_{15} : C_4$ x 4
45T20 $D_5\times D_9$ $180$ $1$ yes $S_3$, $D_{5}$, $D_{9}$, $D_5\times S_3$
45T21 $D_{15}:S_3$ $180$ $-1$ yes $S_3$ x 2, $D_{5}$, $S_3^2$, $D_5\times S_3$ x 2
45T22 $D_5\times C_3:S_3$ $180$ $1$ yes $S_3$ x 4, $D_{5}$, $C_3^2:C_2$, $D_5\times S_3$ x 4
45T23 $C_9\times F_5$ $180$ $-1$ yes $C_3$, $F_5$, $C_9$, $F_5\times C_3$
45T24 $C_3^2\times F_5$ $180$ $-1$ yes $C_3$ x 4, $F_5$, $C_3^2$, $F_5\times C_3$ x 4
45T25 $C_5\times C_3:S_3.C_2$ $180$ $1$ yes $C_5$, $C_3^2:C_4$
45T26 $C_3^2:(C_5:C_4)$ $180$ $1$ yes $D_{5}$, $C_3^2:C_4$
45T27 $(C_3\times C_{15}):C_4$ $180$ $-1$ yes $F_5$, $C_3^2:C_4$
45T28 $C_3\times C_5^2:C_3$ $225$ $1$ yes $C_3$ x 4, $C_3^2$, $C_5^2 : C_3$
45T29 $C_5^2:C_9$ $225$ $1$ yes $C_3$, $C_9$, $C_5^2 : C_3$
45T30 $C_5\times He_3:C_2$ $270$ $-1$ yes $C_3$, $C_5$, $C_3^2 : S_3$, $C_{15}$
45T31 $(C_3\times C_{15}):S_3$ $270$ $-1$ yes $S_3$, $D_{5}$, $(C_3^2:C_3):C_2$, $D_{15}$
45T32 $He_3:D_5$ $270$ $1$ yes $S_3$, $D_{5}$, $C_3^2 : C_6$, $D_{15}$
45T33 $D_{45}:C_3$ $270$ $1$ yes $S_3$, $D_{5}$, $(C_9:C_3):C_2$, $D_{15}$
45T34 $He_3:D_5$ $270$ $-1$ yes $C_3$, $D_{5}$, $C_3^2 : S_3$, $D_5\times C_3$
45T35 $D_5\times He_3$ $270$ $1$ yes $C_3$, $D_{5}$, $C_3^2:C_3$, $D_5\times C_3$
45T36 $D_5\times C_9:C_3$ $270$ $1$ yes $C_3$, $D_{5}$, $C_9:C_3$, $D_5\times C_3$
45T37 $C_5\times He_3:C_2$ $270$ $1$ yes $S_3$, $C_5$, $C_3^2 : C_6$, $S_3 \times C_5$
45T38 $C_5\times D_9:C_3$ $270$ $1$ yes $S_3$, $C_5$, $(C_9:C_3):C_2$, $S_3 \times C_5$
45T39 $C_5\times C_3^2:S_3$ $270$ $-1$ yes $S_3$, $C_5$, $(C_3^2:C_3):C_2$, $S_3 \times C_5$
45T40 $S_3\times A_5$ $360$ $-1$ no $S_3$, $A_5$, $A_5$, $A_5 \times S_3$
45T41 $S_3\times C_3:F_5$ $360$ $-1$ yes $S_3$ x 2, $F_5$, $S_3^2$, $C_{15} : C_4$, $F_5 \times S_3$
45T42 $D_5\times S_3^2$ $360$ $-1$ yes $S_3$ x 2, $D_{5}$, $S_3^2$, $D_5\times S_3$ x 2
45T43 $C_3\times S_3\times F_5$ $360$ $-1$ yes $C_3$, $S_3$, $F_5$, $S_3\times C_3$, $F_5\times C_3$, $F_5 \times S_3$
45T44 $C_3\times S_5$ $360$ $1$ no $C_3$, $S_5$, $S_5$, $S_5 \times C_3$
45T45 $C_3:S_5$ $360$ $-1$ no $S_3$, $S_5$, $S_5$, $\GL(2,4):C_2$ x 2, $\GL(2,4):C_2$
45T46 $D_9\times F_5$ $360$ $-1$ yes $S_3$, $F_5$, $D_{9}$, $F_5 \times S_3$
45T47 $C_3:(S_3\times F_5)$ $360$ $1$ yes $S_3$ x 2, $F_5$, $S_3^2$, $F_5 \times S_3$ x 2
45T48 $C_3:S_3\times F_5$ $360$ $-1$ yes $S_3$ x 4, $F_5$, $C_3^2:C_2$, $F_5 \times S_3$ x 4
45T49 $A_6$ $360$ $1$ no $A_6$ x 2 6T15 x 2, 10T26
45T50 $D_5\times C_3:S_3.C_2$ $360$ $1$ yes $D_{5}$, $C_3^2:C_4$
Next

Results are complete for degrees $\leq 23$.