## Results (1-50 of 983 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
18T1 $C_{18}$ $18$ $-1$ $C_2$, $C_3$, $C_6$, $C_9$
18T2 $C_6 \times C_3$ $18$ $-1$ $C_2$, $C_3$ x 4, $C_6$ x 4, $C_3^2$
18T3 $S_3 \times C_3$ $18$ $-1$ $C_2$, $C_3$, $S_3$, $C_6$, $S_3$, $S_3\times C_3$, $S_3\times C_3$ 6T5, 9T4
18T4 $C_3^2 : C_2$ $18$ $-1$ $C_2$, $S_3$ x 4, $S_3$ x 4, $C_3^2:C_2$ 9T5
18T5 $D_9$ $18$ $-1$ $C_2$, $S_3$, $S_3$, $D_{9}$ 9T3
18T6 $S_3 \times C_6$ $36$ $-1$ $C_2$, $C_3$, $S_3$, $C_6$, $D_{6}$, $S_3\times C_3$ 12T18, 18T6, 36T6
18T7 $C_2^2 : C_9$ $36$ $1$ $C_3$, $A_4$, $C_9$ 36T11
18T8 $A_4 \times C_3$ $36$ $1$ $C_3$ x 4, $A_4$, $C_3^2$ 12T20 x 3, 36T12
18T9 $S_3^2$ $36$ $-1$ $C_2$, $S_3$ x 2, $D_{6}$ x 2, $S_3^2$, $S_3^2$ 6T9, 9T8, 12T16, 18T11 x 2, 36T13
18T10 $C_3^2 : C_4$ $36$ $-1$ $C_2$, $C_3^2:C_4$ x 2, $C_3^2:C_4$ 6T10 x 2, 9T9, 12T17 x 2, 36T14
18T11 $S_3^2$ $36$ $-1$ $C_2$, $S_3$ x 2, $S_3$, $D_{6}$, $S_3^2$ 6T9, 9T8, 12T16, 18T9, 18T11, 36T13
18T12 $C_2\times C_3:S_3$ $36$ $-1$ $C_2$, $S_3$ x 4, $D_{6}$ x 4, $C_3^2:C_2$ 18T12, 36T8
18T13 $D_{18}$ $36$ $-1$ $C_2$, $S_3$, $D_{6}$, $D_{9}$ 18T13, 36T10
18T14 $C_2\times C_9:C_3$ $54$ $-1$ $C_2$, $C_3$, $C_6$, $C_9:C_3$
18T15 $C_2\times \He_3$ $54$ $-1$ $C_2$, $C_3$, $C_6$, $C_3^2:C_3$ 18T15 x 3
18T16 $C_9\times S_3$ $54$ $-1$ $C_2$, $C_3$, $C_6$ 27T12
18T17 $C_3^2\times S_3$ $54$ $-1$ $C_2$, $C_3$, $C_6$, $S_3\times C_3$ x 3 18T17 x 3, 27T15
18T18 $D_9:C_3$ $54$ $-1$ $C_2$, $S_3$, $S_3$, $(C_9:C_3):C_2$ 9T10, 27T14
18T19 $C_3\times D_9$ $54$ $-1$ $C_2$, $S_3$, $S_3$ 27T9
18T20 $\He_3:C_2$ $54$ $-1$ $C_2$, $C_3$, $C_6$, $C_3^2 : S_3$ 9T11, 9T13, 18T21, 18T22, 27T11
18T21 $\He_3:C_2$ $54$ $-1$ $C_2$, $S_3$, $S_3$, $C_3^2 : C_6$ 9T11, 9T13, 18T20, 18T22, 27T11
18T22 $\He_3:C_2$ $54$ $-1$ $C_2$, $S_3\times C_3$ 9T11, 9T13, 18T20, 18T21, 27T11
18T23 $C_3\times C_3:S_3$ $54$ $-1$ $C_2$, $S_3$, $S_3$, $S_3\times C_3$ x 3 18T23 x 3, 27T13
18T24 $C_3^2:S_3$ $54$ $-1$ $C_2$, $S_3$, $S_3$, $(C_3^2:C_3):C_2$ 9T12 x 4, 18T24 x 3, 27T6
18T25 $C_6\times A_4$ $72$ $-1$ $C_3$ x 4, $A_4\times C_2$, $C_3^2$ 24T71 x 3, 36T18, 36T31
18T26 $C_2\times C_2^2:C_9$ $72$ $-1$ $C_3$, $A_4\times C_2$, $C_9$ 36T16, 36T30
18T27 $C_2\times C_3:S_3.C_2$ $72$ $-1$ $C_2$, $C_3^2:C_4$ 12T40 x 2, 12T41 x 2, 18T27, 24T76 x 2, 36T35, 36T36
18T28 $F_9$ $72$ $-1$ $C_2$, $C_3^2:C_8$ 9T15, 12T46, 24T81, 36T49
18T29 $C_2\times S_3^2$ $72$ $-1$ $C_2$, $S_3$ x 2, $D_{6}$ x 2, $S_3^2$ 12T37 x 2, 18T29 x 3, 24T73, 36T34 x 2, 36T40 x 4
18T30 $C_3\times S_4$ $72$ $-1$ $C_3$, $S_3$, $S_4$, $S_3\times C_3$ 12T45, 18T33, 24T80, 24T84, 36T20, 36T52
18T31 $S_3\times A_4$ $72$ $1$ $C_3$, $S_3$, $A_4$, $S_3\times C_3$ 12T43, 18T32, 24T78, 24T83, 36T21, 36T50, 36T51
18T32 $S_3\times A_4$ $72$ $-1$ $C_3$, $S_3$, $A_4\times C_2$, $S_3\times C_3$ 12T43, 18T31, 24T78, 24T83, 36T21, 36T50, 36T51
18T33 $C_3\times S_4$ $72$ $1$ $C_3$, $S_3$, $S_4$, $S_3\times C_3$ 12T45, 18T30, 24T80, 24T84, 36T20, 36T52
18T34 $S_3\wr C_2$ $72$ $-1$ $C_2$, $C_3^2:D_4$, $S_3^2:C_2$ 6T13 x 2, 9T16, 12T34 x 2, 12T35 x 2, 12T36 x 2, 18T34, 18T36, 24T72 x 2, 36T53, 36T54 x 2
18T35 $\PSU(3,2)$ $72$ $-1$ $C_2$, $C_3^2:Q_8$ 9T14, 12T47, 18T35 x 2, 24T82, 36T55
18T36 $S_3\wr C_2$ $72$ $-1$ $C_2$, $S_3^2:C_2$ 6T13 x 2, 9T16, 12T34 x 2, 12T35 x 2, 12T36 x 2, 18T34 x 2, 24T72 x 2, 36T53, 36T54 x 2
18T37 $C_3:S_4$ $72$ $1$ $S_3$ x 4, $S_4$, $C_3^2:C_2$ 12T44 x 3, 18T40, 24T79 x 3, 36T23, 36T56
18T38 $C_2^2:D_9$ $72$ $1$ $S_3$, $S_4$, $D_{9}$ 18T39, 36T25, 36T57
18T39 $C_2^2:D_9$ $72$ $-1$ $S_3$, $S_4$, $D_{9}$ 18T38, 36T25, 36T57
18T40 $C_3:S_4$ $72$ $-1$ $S_3$ x 4, $S_4$, $C_3^2:C_2$ 12T44 x 3, 18T37, 24T79 x 3, 36T23, 36T56
18T41 $C_2\times \He_3:C_2$ $108$ $-1$ $C_2$, $S_3$, $D_{6}$, $C_3^2 : C_6$ 18T41, 18T42 x 2, 36T71, 36T73, 36T75
18T42 $C_2\times \He_3:C_2$ $108$ $-1$ $C_2$, $C_3$, $C_6$, $C_3^2 : S_3$ 18T41 x 2, 18T42, 36T71, 36T73, 36T75
18T43 $C_3\times S_3^2$ $108$ $-1$ $C_2$, $C_3$, $C_6$, $S_3^2$ 12T70, 18T46 x 2, 27T36, 36T80, 36T82 x 2, 36T92
18T44 $C_3\times C_3:S_3.C_2$ $108$ $1$ $C_2$, $C_3$, $C_6$, $C_3^2:C_4$ 12T73 x 2, 18T44, 27T33, 36T81 x 2, 36T95 x 2
18T45 $C_2\times D_9:C_3$ $108$ $-1$ $C_2$, $S_3$, $D_{6}$, $(C_9:C_3):C_2$ 18T45, 36T67
18T46 $C_3\times S_3^2$ $108$ $-1$ $C_2$, $S_3$, $D_{6}$, $S_3\times C_3$ 12T70, 18T43, 18T46, 27T36, 36T80, 36T82 x 2, 36T92
18T47 $C_3^2.A_4$ $108$ $1$ $C_3$, $A_4$, $C_9:C_3$ 18T47 x 2, 36T83
18T48 $C_6^2:C_3$ $108$ $1$ $C_3$, $A_4$, $C_3^2:C_3$ 18T48 x 2, 36T84, 36T97 x 3
18T49 $C_3^2:S_3.C_2$ $108$ $1$ $C_2$, $C_3^2:C_4$ 18T49, 27T32, 36T85 x 2
18T50 $S_3\times D_9$ $108$ $-1$ $C_2$, $S_3$, $D_{6}$ 27T30, 36T86
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Results are complete for degrees $\leq 23$.