| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 36T1674 |
$C_2^5:S_3^2$ |
$1152$ |
$1$ |
✓ |
$-1$ |
$60$ |
$C_2$, $S_3$ x 2, $S_3$, $D_{6}$, $S_3^2$, $C_2^3:S_4$, $S_3^2$ |
36T1674, 36T1826 x 12, 36T1854 x 12, 36T1864 x 12, 36T1876 x 6, 36T1882 x 12 |
| 36T1826 |
$C_2^5:S_3^2$ |
$1152$ |
$1$ |
✓ |
$-1$ |
$60$ |
$S_3$ x 2, $S_4\times C_2$ x 3, $S_3^2$, $C_2^2\wr S_3$, $S_3\times S_4$, $D_6\times S_4$ x 2 |
36T1674 x 2, 36T1826 x 11, 36T1854 x 12, 36T1864 x 12, 36T1876 x 6, 36T1882 x 12 |
| 36T1854 |
$C_2^5:S_3^2$ |
$1152$ |
$1$ |
✓ |
$-1$ |
$60$ |
$S_3$ x 2, $S_4\times C_2$ x 3, $S_3^2$, $C_2^2\wr S_3$, $S_3\times S_4$, $D_6\times S_4$ x 2 |
36T1674 x 2, 36T1826 x 12, 36T1854 x 11, 36T1864 x 12, 36T1876 x 6, 36T1882 x 12 |
| 36T1864 |
$C_2^5:S_3^2$ |
$1152$ |
$1$ |
✓ |
$-1$ |
$60$ |
$S_3$ x 2, $S_4$, $S_4\times C_2$ x 2, $S_3^2$, $C_2^3:S_4$, $S_3\times S_4$, $D_6\times S_4$ x 2 |
36T1674 x 2, 36T1826 x 12, 36T1854 x 12, 36T1864 x 11, 36T1876 x 6, 36T1882 x 12 |
| 36T1876 |
$C_2^5:S_3^2$ |
$1152$ |
$-1$ |
✓ |
$-1$ |
$60$ |
$S_3$ x 2, $S_4$, $S_3^2$, $C_2^3:S_4$, $S_3\times S_4$ |
36T1674 x 2, 36T1826 x 12, 36T1854 x 12, 36T1864 x 12, 36T1876 x 5, 36T1882 x 12 |
| 36T1882 |
$C_2^5:S_3^2$ |
$1152$ |
$1$ |
✓ |
$-1$ |
$60$ |
$S_3$ x 2, $S_4$, $S_4\times C_2$ x 2, $S_3^2$, $C_2^3:S_4$, $S_3\times S_4$, $D_6\times S_4$ x 2 |
36T1674 x 2, 36T1826 x 12, 36T1854 x 12, 36T1864 x 12, 36T1876 x 6, 36T1882 x 11 |
Results are complete for degrees $\leq 23$.
