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Results (1-50 of 104 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
4T5 $S_4$ $24$ $-1$ 6T7, 6T8, 8T14, 12T8, 12T9, 24T10
5T3 $F_5$ $20$ $-1$ 10T4, 20T5
6T5 $S_3\times C_3$ $18$ $-1$ $C_2$ 9T4, 18T3
6T6 $A_4\times C_2$ $24$ $-1$ $C_3$ 8T13, 12T6, 12T7, 24T9
6T7 $S_4$ $24$ $1$ $S_3$ 4T5, 6T8, 8T14, 12T8, 12T9, 24T10
6T8 $S_4$ $24$ $-1$ $S_3$ 4T5, 6T7, 8T14, 12T8, 12T9, 24T10
7T3 $C_7:C_3$ $21$ $1$ 21T2
8T6 $D_{8}$ $16$ $-1$ $C_2$, $D_{4}$ 8T6, 16T13
8T7 $C_8:C_2$ $16$ $-1$ $C_2$, $C_4$ 16T6
8T8 $QD_{16}$ $16$ $-1$ $C_2$, $D_{4}$ 16T12
8T9 $D_4\times C_2$ $16$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2 8T9 x 3, 16T9
8T10 $C_2^2:C_4$ $16$ $1$ $C_2$, $C_4$, $D_{4}$ x 2 8T10, 16T10
8T11 $Q_8:C_2$ $16$ $1$ $C_2$ x 3, $C_2^2$ 8T11 x 2, 16T11
8T12 $\SL(2,3)$ $24$ $1$ $A_4$ 24T7
8T13 $A_4\times C_2$ $24$ $1$ $C_2$, $A_4$ 6T6, 12T6, 12T7, 24T9
8T14 $S_4$ $24$ $1$ $C_2$, $S_4$ 4T5, 6T7, 6T8, 12T8, 12T9, 24T10
9T3 $D_{9}$ $18$ $1$ $S_3$ 18T5
9T4 $S_3\times C_3$ $18$ $-1$ $C_3$, $S_3$ 6T5, 18T3
9T5 $C_3^2:C_2$ $18$ $1$ $S_3$ x 4 18T4
9T6 $C_9:C_3$ $27$ $1$ $C_3$ 27T5
9T7 $C_3^2:C_3$ $27$ $1$ $C_3$ 9T7 x 3, 27T3
10T3 $D_{10}$ $20$ $-1$ $C_2$, $D_{5}$ 10T3, 20T4
10T4 $F_5$ $20$ $-1$ $C_2$, $F_5$ 5T3, 20T5
11T2 $D_{11}$ $22$ $-1$ 22T2
12T6 $A_4\times C_2$ $24$ $1$ $C_3$, $A_4$, $A_4\times C_2$ 6T6, 8T13, 12T7, 24T9
12T7 $A_4 \times C_2$ $24$ $1$ $C_2$, $C_3$, $C_6$, $A_4$, $A_4\times C_2$ 6T6, 8T13, 12T6, 24T9
12T8 $S_4$ $24$ $-1$ $S_3$, $S_4$, $S_4$ 4T5, 6T7, 6T8, 8T14, 12T9, 24T10
12T9 $S_4$ $24$ $1$ $C_2$, $S_3$, $S_3$, $S_4$, $S_4$ 4T5, 6T7, 6T8, 8T14, 12T8, 24T10
12T10 $S_3 \times C_2^2$ $24$ $1$ $C_2$ x 3, $S_3$, $C_2^2$, $D_{6}$ x 3 12T10 x 3, 24T11
12T11 $S_3 \times C_4$ $24$ $-1$ $C_2$, $S_3$, $C_4$, $D_{6}$ 12T11, 24T12
12T12 $D_{12}$ $24$ $-1$ $C_2$, $S_3$, $D_{4}$, $D_{6}$ 12T12, 24T13
12T13 $(C_6\times C_2):C_2$ $24$ $-1$ $C_2$, $S_3$, $D_{4}$, $D_{6}$ 12T15, 24T14
12T14 $D_4 \times C_3$ $24$ $-1$ $C_2$, $C_3$, $D_{4}$, $C_6$ 12T14, 24T15
12T15 $(C_6\times C_2):C_2$ $24$ $-1$ $C_2$, $S_3$, $D_{4}$, $S_3$ 12T13, 24T14
13T2 $D_{13}$ $26$ $1$ 26T2
14T3 $D_{14}$ $28$ $-1$ $C_2$, $D_{7}$ 14T3, 28T4
15T2 $D_{15}$ $30$ $-1$ $S_3$, $D_{5}$ 30T3
15T3 $D_5\times C_3$ $30$ $1$ $C_3$, $D_{5}$ 30T4
15T4 $S_3 \times C_5$ $30$ $-1$ $S_3$, $C_5$ 30T2
16T1 $C_{16}$ $16$ $-1$ $C_2$, $C_4$, $C_8$
16T2 $C_4\times C_2^2$ $16$ $1$ $C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_4\times C_2$ x 6, $C_2^3$
16T3 $C_2^4$ $16$ $1$ $C_2$ x 15, $C_2^2$ x 35, $C_2^3$ x 15
16T4 $C_4^2$ $16$ $1$ $C_2$ x 3, $C_4$ x 6, $C_2^2$, $C_4\times C_2$ x 3
16T5 $C_8\times C_2$ $16$ $1$ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_8$ x 2, $C_4\times C_2$
16T6 $C_8: C_2$ $16$ $1$ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$, $C_8:C_2$ 8T7
16T7 $Q_8\times C_2$ $16$ $1$ $C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8$ x 2
16T8 $C_4:C_4$ $16$ $1$ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 2, $C_4\times C_2$, $D_4$, $Q_8$
16T9 $D_4\times C_2$ $16$ $1$ $C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4$ x 2, $D_4\times C_2$ x 4 8T9 x 4
16T10 $C_2^2 : C_4$ $16$ $1$ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4$ x 2, $C_2^2:C_4$ x 2 8T10 x 2
16T11 $Q_8 : C_2$ $16$ $1$ $C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 3 8T11 x 3
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Results are complete for degrees $\leq 23$.