Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
40T1002 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$ x 3, $C_2^2$, $D_{5}$, $D_5$, $D_{10}$ x 2, $D_{10}$, $C_2^6:D_5$ x 2 |
40T1002 x 5, 40T1013 x 12, 40T1019 x 6, 40T1040 x 12, 40T1131 x 12, 40T1132 x 24, 40T1133 x 48, 40T1158 x 48, 40T1159 x 48, 40T1169 x 12 |
40T1013 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $D_{4}$, $D_{5}$, $D_{10}$, $C_2\times (C_2^4 : D_5)$ x 2, $C_5:D_4$, $C_2^5:D_{10}$, $C_2^6:D_5$ |
40T1002 x 6, 40T1013 x 11, 40T1019 x 6, 40T1040 x 12, 40T1131 x 12, 40T1132 x 24, 40T1133 x 48, 40T1158 x 48, 40T1159 x 48, 40T1169 x 12 |
40T1019 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$ x 3, $C_2^2$, $D_{5}$, $D_{10}$ x 3, $C_2\times D_{10}$, $C_2^6:D_5$ x 2 |
40T1002 x 6, 40T1013 x 12, 40T1019 x 5, 40T1040 x 12, 40T1131 x 12, 40T1132 x 24, 40T1133 x 48, 40T1158 x 48, 40T1159 x 48, 40T1169 x 12 |
40T1040 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $D_{4}$, $D_{5}$, $D_5$, $C_2\times (C_2^4 : D_5)$ x 2, $C_5:D_4$, $C_2\wr D_5$, $C_2^6:D_5$ |
40T1002 x 6, 40T1013 x 12, 40T1019 x 6, 40T1040 x 11, 40T1131 x 12, 40T1132 x 24, 40T1133 x 48, 40T1158 x 48, 40T1159 x 48, 40T1169 x 12 |
40T1131 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $D_{5}$, $D_5$, $C_2\times (C_2^4 : D_5)$ x 2, $C_2\wr D_5$, $C_2^6:D_5$ x 2 |
40T1002 x 6, 40T1013 x 12, 40T1019 x 6, 40T1040 x 12, 40T1131 x 11, 40T1132 x 24, 40T1133 x 48, 40T1158 x 48, 40T1159 x 48, 40T1169 x 12 |
40T1132 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $D_{5}$, $D_5$, $C_2\times (C_2^4 : D_5)$ x 2, $C_2\wr D_5$, $C_2^6:D_5$ x 2 |
40T1002 x 6, 40T1013 x 12, 40T1019 x 6, 40T1040 x 12, 40T1131 x 12, 40T1132 x 23, 40T1133 x 48, 40T1158 x 48, 40T1159 x 48, 40T1169 x 12 |
40T1133 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $D_{5}$, $D_5$, $C_2\times (C_2^4 : D_5)$ x 2, $C_2\wr D_5$, $C_2^6:D_5$ x 2 |
40T1002 x 6, 40T1013 x 12, 40T1019 x 6, 40T1040 x 12, 40T1131 x 12, 40T1132 x 24, 40T1133 x 47, 40T1158 x 48, 40T1159 x 48, 40T1169 x 12 |
40T1158 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $D_{5}$, $D_{10}$, $C_2\times (C_2^4 : D_5)$ x 2, $C_2^6:D_5$ x 2, $C_2^5:D_{10}$ |
40T1002 x 6, 40T1013 x 12, 40T1019 x 6, 40T1040 x 12, 40T1131 x 12, 40T1132 x 24, 40T1133 x 48, 40T1158 x 47, 40T1159 x 48, 40T1169 x 12 |
40T1159 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$D_{5}$, $C_2\times (C_2^4 : D_5)$ x 3, $C_2^6:D_5$ x 2, $C_2^5:D_{10}$ |
40T1002 x 6, 40T1013 x 12, 40T1019 x 6, 40T1040 x 12, 40T1131 x 12, 40T1132 x 24, 40T1133 x 48, 40T1158 x 48, 40T1159 x 47, 40T1169 x 12 |
40T1169 |
$C_2^6:D_{10}$ |
$1280$ |
$1$ |
✓ |
$-1$ |
$56$ |
$C_2$, $D_{5}$, $D_{10}$, $C_2\times (C_2^4 : D_5)$ x 2, $C_2^5:D_{10}$, $C_2^6:D_5$ x 2 |
40T1002 x 6, 40T1013 x 12, 40T1019 x 6, 40T1040 x 12, 40T1131 x 12, 40T1132 x 24, 40T1133 x 48, 40T1158 x 48, 40T1159 x 48, 40T1169 x 11 |
Results are complete for degrees $\leq 23$.