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Results (1-50 of at least 5000)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
45T1 $C_{45}$ $45$ $1$ $C_3$, $C_5$, $C_9$, $C_{15}$
45T2 $C_3\times C_{15}$ $45$ $1$ $C_3$ x 4, $C_5$, $C_3^2$, $C_{15}$ x 4
45T3 $C_{15}\times S_3$ $90$ $-1$ $C_3$, $S_3$, $C_5$, $S_3\times C_3$, $C_{15}$, $S_3 \times C_5$ 30T15
45T4 $D_{45}$ $90$ $1$ $S_3$, $D_{5}$, $D_{9}$, $D_{15}$
45T5 $C_3\times D_{15}$ $90$ $-1$ $C_3$, $S_3$, $D_{5}$, $S_3\times C_3$, $D_{15}$, $D_5\times C_3$ 30T16
45T6 $C_3:D_{15}$ $90$ $1$ $S_3$ x 4, $D_{5}$, $C_3^2:C_2$, $D_{15}$ x 4
45T7 $C_9\times D_5$ $90$ $1$ $C_3$, $D_{5}$, $C_9$, $D_5\times C_3$
45T8 $C_3^2\times D_5$ $90$ $1$ $C_3$ x 4, $D_{5}$, $C_3^2$, $D_5\times C_3$ x 4
45T9 $C_5\times D_9$ $90$ $1$ $S_3$, $C_5$, $D_{9}$, $S_3 \times C_5$
45T10 $C_5\times C_3:S_3$ $90$ $1$ $S_3$ x 4, $C_5$, $C_3^2:C_2$, $S_3 \times C_5$ x 4
45T11 $C_5\times \He_3$ $135$ $1$ $C_3$, $C_5$, $C_3^2:C_3$, $C_{15}$ 45T11 x 3
45T12 $C_5\times C_9:C_3$ $135$ $1$ $C_3$, $C_5$, $C_9:C_3$, $C_{15}$
45T13 $S_3\times D_{15}$ $180$ $-1$ $S_3$ x 2, $D_{5}$, $S_3^2$, $D_{15}$, $D_5\times S_3$ 30T42
45T14 $C_3\times S_3\times D_5$ $180$ $-1$ $C_3$, $S_3$, $D_{5}$, $S_3\times C_3$, $D_5\times C_3$, $D_5\times S_3$ 30T44
45T15 $C_5\times S_3^2$ $180$ $-1$ $S_3$ x 2, $C_5$, $S_3^2$, $S_3 \times C_5$ x 2 30T41
45T16 $C_3\times A_5$ $180$ $1$ $C_3$, $A_5$, $A_5$, $\GL(2,4)$ x 2, $\GL(2,4)$ 15T15 x 2, 15T16, 18T90, 30T45, 36T176
45T17 $C_9:F_5$ $180$ $-1$ $S_3$, $F_5$, $D_{9}$, $C_{15} : C_4$
45T18 $C_3\times C_3:F_5$ $180$ $1$ $C_3$, $S_3$, $F_5$, $S_3\times C_3$, $C_{15} : C_4$, $F_5\times C_3$ 30T47
45T19 $C_3^2:F_5$ $180$ $-1$ $S_3$ x 4, $F_5$, $C_3^2:C_2$, $C_{15} : C_4$ x 4
45T20 $D_5\times D_9$ $180$ $1$ $S_3$, $D_{5}$, $D_{9}$, $D_5\times S_3$
45T21 $D_{15}:S_3$ $180$ $-1$ $S_3$ x 2, $D_{5}$, $S_3^2$, $D_5\times S_3$ x 2 30T43
45T22 $D_5\times C_3:S_3$ $180$ $1$ $S_3$ x 4, $D_{5}$, $C_3^2:C_2$, $D_5\times S_3$ x 4
45T23 $C_9\times F_5$ $180$ $-1$ $C_3$, $F_5$, $C_9$, $F_5\times C_3$
45T24 $C_3^2\times F_5$ $180$ $-1$ $C_3$ x 4, $F_5$, $C_3^2$, $F_5\times C_3$ x 4
45T25 $C_5\times C_3:S_3.C_2$ $180$ $1$ $C_5$, $C_3^2:C_4$ 30T49 x 2
45T26 $C_3^2:(C_5:C_4)$ $180$ $1$ $D_{5}$, $C_3^2:C_4$ 30T48 x 2
45T27 $(C_3\times C_{15}):C_4$ $180$ $-1$ $F_5$, $C_3^2:C_4$ 30T46 x 2
45T28 $C_3\times C_5^2:C_3$ $225$ $1$ $C_3$ x 4, $C_3^2$, $C_5^2 : C_3$ 45T28
45T29 $C_5^2:C_9$ $225$ $1$ $C_3$, $C_9$, $C_5^2 : C_3$ 45T29
45T30 $C_5\times \He_3:C_2$ $270$ $-1$ $C_3$, $C_5$, $C_3^2 : S_3 $, $C_{15}$ 45T37
45T31 $(C_3\times C_{15}):S_3$ $270$ $-1$ $S_3$, $D_{5}$, $(C_3^2:C_3):C_2$, $D_{15}$ 45T31 x 3
45T32 $\He_3:D_5$ $270$ $1$ $S_3$, $D_{5}$, $C_3^2 : C_6$, $D_{15}$ 45T34
45T33 $D_{45}:C_3$ $270$ $1$ $S_3$, $D_{5}$, $(C_9:C_3):C_2$, $D_{15}$
45T34 $\He_3:D_5$ $270$ $-1$ $C_3$, $D_{5}$, $C_3^2 : S_3 $, $D_5\times C_3$ 45T32
45T35 $D_5\times \He_3$ $270$ $1$ $C_3$, $D_{5}$, $C_3^2:C_3$, $D_5\times C_3$ 45T35 x 3
45T36 $D_5\times C_9:C_3$ $270$ $1$ $C_3$, $D_{5}$, $C_9:C_3$, $D_5\times C_3$
45T37 $C_5\times \He_3:C_2$ $270$ $1$ $S_3$, $C_5$, $C_3^2 : C_6$, $S_3 \times C_5$ 45T30
45T38 $C_5\times D_9:C_3$ $270$ $1$ $S_3$, $C_5$, $(C_9:C_3):C_2$, $S_3 \times C_5$
45T39 $C_5\times C_3^2:S_3$ $270$ $-1$ $S_3$, $C_5$, $(C_3^2:C_3):C_2$, $S_3 \times C_5$ 45T39 x 3
45T40 $S_3\times A_5$ $360$ $-1$ $S_3$, $A_5$, $A_5$, $A_5 \times S_3$ 15T23, 18T145, 30T85, 30T94, 30T102, 36T551, 36T552, 36T553
45T41 $S_3\times C_3:F_5$ $360$ $-1$ $S_3$ x 2, $F_5$, $S_3^2$, $C_{15} : C_4$, $F_5 \times S_3$ 30T83
45T42 $D_5\times S_3^2$ $360$ $-1$ $S_3$ x 2, $D_{5}$, $S_3^2$, $D_5\times S_3$ x 2 30T84
45T43 $C_3\times S_3\times F_5$ $360$ $-1$ $C_3$, $S_3$, $F_5$, $S_3\times C_3$, $F_5\times C_3$, $F_5 \times S_3$ 30T91
45T44 $C_3\times S_5$ $360$ $1$ $C_3$, $S_5$, $S_5$, $S_5 \times C_3$ 15T24, 18T144, 30T90, 30T98, 30T103, 36T550
45T45 $C_3:S_5$ $360$ $-1$ $S_3$, $S_5$, $S_5$, $\GL(2,4):C_2$ x 2, $\GL(2,4):C_2$ 15T21 x 2, 15T22, 18T146, 30T89, 30T93 x 2, 30T101, 36T554
45T46 $D_9\times F_5$ $360$ $-1$ $S_3$, $F_5$, $D_{9}$, $F_5 \times S_3$
45T47 $C_3:(S_3\times F_5)$ $360$ $1$ $S_3$ x 2, $F_5$, $S_3^2$, $F_5 \times S_3$ x 2 30T86
45T48 $C_3:S_3\times F_5$ $360$ $-1$ $S_3$ x 4, $F_5$, $C_3^2:C_2$, $F_5 \times S_3$ x 4
45T49 $A_6$ $360$ $1$ $A_6$ x 2 6T15 x 2, 10T26, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304
45T50 $D_5\times C_3:S_3.C_2$ $360$ $1$ $D_{5}$, $C_3^2:C_4$ 30T99 x 2
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Results are complete for degrees $\leq 23$.