| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 16T335 |
$C_4^2.D_4$ |
$128$ |
$-1$ |
✓ |
$5$ |
$17$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T343, 16T387, 32T764, 32T765, 32T766, 32T785, 32T1749, 32T1785 |
| 16T343 |
$C_4^2.D_4$ |
$128$ |
$-1$ |
✓ |
$5$ |
$17$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T335, 16T387, 32T764, 32T765, 32T766, 32T785, 32T1749, 32T1785 |
| 16T361 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$5$ |
$17$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
32T825, 32T2006 |
| 16T362 |
$C_4^2.(C_2\times C_4)$ |
$128$ |
$1$ |
✓ |
$5$ |
$14$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T362, 32T826 x 2, 32T827, 32T1679, 32T1947 |
| 16T363 |
$(C_4\times C_8):C_4$ |
$128$ |
$-1$ |
✓ |
$5$ |
$17$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T363, 32T828 x 2, 32T829 x 2, 32T1678 x 2 |
| 16T375 |
$C_4^2.(C_2\times C_4)$ |
$128$ |
$-1$ |
✓ |
$5$ |
$14$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T375, 32T850 x 2, 32T851, 32T1824 x 2, 32T2008 |
| 16T377 |
$(C_4\times C_8):C_4$ |
$128$ |
$-1$ |
✓ |
$5$ |
$17$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T377, 16T413 x 2, 32T855 x 2, 32T856 x 2, 32T922 x 2, 32T1680 x 2 |
| 16T378 |
$(C_4\times C_8).C_4$ |
$128$ |
$1$ |
✓ |
$5$ |
$17$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T378, 32T857 x 2, 32T858 x 2 |
| 16T387 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$5$ |
$17$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T335, 16T343, 32T764, 32T765, 32T766, 32T785, 32T1749, 32T1785 |
| 16T397 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$5$ |
$17$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T397, 32T886, 32T1786, 32T1949 |
| 16T398 |
$C_4^2.D_4$ |
$128$ |
$1$ |
✓ |
$5$ |
$17$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T398, 32T887, 32T1750, 32T1950 |
| 16T413 |
$(C_4\times C_8):C_4$ |
$128$ |
$1$ |
✓ |
$5$ |
$17$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T377 x 2, 16T413, 32T855 x 2, 32T856 x 2, 32T922 x 2, 32T1680 x 2 |
| 16T483 |
$(C_4\times \OD_{16}):C_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T483 x 3, 32T2410 x 2, 32T2411 x 4, 32T2412 x 4, 32T2413 x 4, 32T6635 x 2 |
| 16T495 |
$C_2^4.\OD_{16}$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $C_8:C_2$ |
16T495, 16T572 x 2, 16T575 x 2, 16T643 x 2, 32T2471 x 2, 32T2472 x 2, 32T2473 x 2, 32T2474 x 2, 32T2825 x 2, 32T2826 x 2, 32T2835 x 2, 32T2836 x 2, 32T3145, 32T3146 x 4, 32T3147, 32T3148 x 4, 32T3149, 32T3150, 32T7573 x 2 |
| 16T504 |
$C_4^2.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$34$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T504 x 3, 32T2510 x 2, 32T2511 x 4, 32T6866 x 2 |
| 16T518 |
$(C_4\times \OD_{16}):C_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T518 x 3, 32T2579 x 2, 32T2580 x 4, 32T2581 x 4, 32T2582 x 4, 32T6839 x 2 |
| 16T520 |
$C_4^2.(C_2^2\times C_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T520 x 3, 32T2589 x 2, 32T2590 x 4, 32T2591 x 4, 32T2592 x 4, 32T6715 x 2 |
| 16T521 |
$C_4^3:C_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$34$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T521 x 3, 32T2593 x 4, 32T2594 x 2, 32T6853 x 2 |
| 16T548 |
$(C_2\times C_4^2).D_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T548, 32T2720, 32T2721 x 2, 32T6808, 32T6811, 32T8538 |
| 16T551 |
$C_4^3.C_4$ |
$256$ |
$-1$ |
✓ |
$5$ |
$34$ |
$C_2$, $C_4$, $(C_8:C_2):C_2$ |
16T551 x 3, 32T2735 x 4, 32T2736 x 2, 32T7108 x 2 |
| 16T557 |
$(C_4\times \OD_{16}):C_4$ |
$256$ |
$-1$ |
✓ |
$5$ |
$28$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T557 x 3, 32T2759 x 2, 32T2760 x 2, 32T2761 x 4, 32T2762 x 4, 32T2763 x 2, 32T6899 x 2, 32T7607 x 4 |
| 16T558 |
$(C_4\times \OD_{16}):C_4$ |
$256$ |
$-1$ |
✓ |
$5$ |
$28$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T558 x 3, 32T2764 x 2, 32T2765 x 4, 32T2766 x 4, 32T2767 x 2, 32T2768 x 2, 32T6779 x 2, 32T7570 x 4 |
| 16T561 |
$C_2^4.\OD_{16}$ |
$256$ |
$-1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $C_8:C_2$ |
16T561 x 3, 32T2782 x 8, 32T2783 x 4, 32T2784 x 4, 32T2785 x 8, 32T2786 x 4, 32T2787 x 2 |
| 16T563 |
$C_4^3:C_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$34$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T563 x 3, 32T2792 x 4, 32T2793 x 2, 32T6648 x 2 |
| 16T564 |
$C_4^3.C_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$34$ |
$C_2$, $C_4$, $C_2^3: C_4$ |
16T564 x 3, 32T2794 x 4, 32T2795 x 2, 32T6620 x 2 |
| 16T565 |
$C_2^5:C_8$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $C_8$ |
16T565, 16T587 x 2, 16T611 x 2, 16T651 x 2, 32T2796 x 2, 32T2797 x 2, 32T2798 x 4, 32T2799 x 4, 32T2800 x 2, 32T2801 x 2, 32T2879 x 2, 32T2880 x 2, 32T2996 x 2, 32T2997 x 2, 32T3179 x 4, 32T3180, 32T3181 x 4, 32T3182, 32T3183, 32T3184, 32T7557 x 2 |
| 16T567 |
$C_4^2.(C_2\times D_4)$ |
$256$ |
$-1$ |
✓ |
$5$ |
$28$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T567 x 3, 32T2804 x 2, 32T2805 x 2, 32T2806 x 2, 32T2807 x 2, 32T2808 x 2, 32T2809 x 2, 32T2810 x 2, 32T7375 x 2, 32T7425 x 2, 32T7559 x 2 |
| 16T572 |
$C_2^4.\OD_{16}$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $(C_8:C_2):C_2$ |
16T495 x 2, 16T572, 16T575 x 2, 16T643 x 2, 32T2471 x 2, 32T2472 x 2, 32T2473 x 2, 32T2474 x 2, 32T2825 x 2, 32T2826 x 2, 32T2835 x 2, 32T2836 x 2, 32T3145, 32T3146 x 4, 32T3147, 32T3148 x 4, 32T3149, 32T3150, 32T7573 x 2 |
| 16T575 |
$C_2^4.\OD_{16}$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T495 x 2, 16T572 x 2, 16T575, 16T643 x 2, 32T2471 x 2, 32T2472 x 2, 32T2473 x 2, 32T2474 x 2, 32T2825 x 2, 32T2826 x 2, 32T2835 x 2, 32T2836 x 2, 32T3145, 32T3146 x 4, 32T3147, 32T3148 x 4, 32T3149, 32T3150, 32T7573 x 2 |
| 16T576 |
$(C_2\times C_4^2).D_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$34$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T576 x 3, 32T2837 x 2, 32T2838 x 4, 32T6868 x 2 |
| 16T578 |
$C_4^3.C_4$ |
$256$ |
$-1$ |
✓ |
$5$ |
$34$ |
$C_2$, $C_4$, $(C_8:C_2):C_2$ |
16T578 x 3, 32T2844 x 4, 32T2845 x 2, 32T7196 x 2 |
| 16T587 |
$C_2^5:C_8$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T565 x 2, 16T587, 16T611 x 2, 16T651 x 2, 32T2796 x 2, 32T2797 x 2, 32T2798 x 4, 32T2799 x 4, 32T2800 x 2, 32T2801 x 2, 32T2879 x 2, 32T2880 x 2, 32T2996 x 2, 32T2997 x 2, 32T3179 x 4, 32T3180, 32T3181 x 4, 32T3182, 32T3183, 32T3184, 32T7557 x 2 |
| 16T591 |
$C_2^5.C_8$ |
$256$ |
$-1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $C_8$ |
16T591 x 3, 32T2898 x 8, 32T2899 x 8, 32T2900 x 4, 32T2901 x 4, 32T2902 x 4, 32T2903 x 2 |
| 16T601 |
$(C_2\times D_4).C_4^2$ |
$256$ |
$1$ |
✓ |
$5$ |
$34$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T601 x 3, 32T2951 x 2, 32T2952 x 4, 32T6858 x 2 |
| 16T605 |
$C_4^2.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T605, 32T2965, 32T2966 x 2, 32T6876, 32T6877, 32T8541 |
| 16T611 |
$C_2^5:C_8$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $C_4$, $(C_8:C_2):C_2$ |
16T565 x 2, 16T587 x 2, 16T611, 16T651 x 2, 32T2796 x 2, 32T2797 x 2, 32T2798 x 4, 32T2799 x 4, 32T2800 x 2, 32T2801 x 2, 32T2879 x 2, 32T2880 x 2, 32T2996 x 2, 32T2997 x 2, 32T3179 x 4, 32T3180, 32T3181 x 4, 32T3182, 32T3183, 32T3184, 32T7557 x 2 |
| 16T619 |
$(C_2\times D_4).C_4^2$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T619, 32T3028, 32T3029 x 2, 32T7094, 32T7095, 32T8540 |
| 16T620 |
$(C_2\times D_4).C_4^2$ |
$256$ |
$-1$ |
✓ |
$5$ |
$28$ |
$C_2$ x 3, $C_2^2$, $C_2^3: C_4$ |
16T620 x 3, 32T3030 x 2, 32T3031 x 2, 32T3032 x 2, 32T3033 x 2, 32T3034 x 2, 32T3035 x 2, 32T3036 x 2, 32T7256 x 2, 32T7420 x 2, 32T7575 x 2 |
| 16T627 |
$C_4^2.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$34$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T627 x 3, 32T3065 x 2, 32T3066 x 4, 32T6861 x 2 |
| 16T643 |
$C_2^4.\OD_{16}$ |
$256$ |
$-1$ |
✓ |
$5$ |
$28$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$ |
16T495 x 2, 16T572 x 2, 16T575 x 2, 16T643, 32T2471 x 2, 32T2472 x 2, 32T2473 x 2, 32T2474 x 2, 32T2825 x 2, 32T2826 x 2, 32T2835 x 2, 32T2836 x 2, 32T3145, 32T3146 x 4, 32T3147, 32T3148 x 4, 32T3149, 32T3150, 32T7573 x 2 |
| 16T651 |
$C_2^5:C_8$ |
$256$ |
$-1$ |
✓ |
$5$ |
$28$ |
$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_4\times C_2$ |
16T565 x 2, 16T587 x 2, 16T611 x 2, 16T651, 32T2796 x 2, 32T2797 x 2, 32T2798 x 4, 32T2799 x 4, 32T2800 x 2, 32T2801 x 2, 32T2879 x 2, 32T2880 x 2, 32T2996 x 2, 32T2997 x 2, 32T3179 x 4, 32T3180, 32T3181 x 4, 32T3182, 32T3183, 32T3184, 32T7557 x 2 |
| 16T655 |
$C_4^2.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$28$ |
$C_2$, $D_{4}$, $C_2^3 : C_4 $ |
16T655, 32T3201, 32T3202 x 2, 32T6796, 32T6799, 32T8539 |
| 16T659 |
$D_4^2:C_2^2$ |
$256$ |
$-1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 3, $C_2^2$, $(((C_4 \times C_2): C_2):C_2):C_2$ |
16T659, 16T665 x 2, 16T696 x 2, 32T3217, 32T3218 x 4, 32T3219, 32T3220 x 4, 32T3221, 32T3241 x 2, 32T3242, 32T3243, 32T3344, 32T3345, 32T6289 x 4, 32T7363 |
| 16T660 |
$D_4^2.C_2^2$ |
$256$ |
$-1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 3, $C_2^2$, $(((C_4 \times C_2): C_2):C_2):C_2$ |
16T660, 16T661 x 2, 32T3222 x 2, 32T3223, 32T3224 x 4, 32T3225 x 4, 32T3226, 32T3227, 32T3228, 32T3229, 32T6291 x 4, 32T7352 |
| 16T661 |
$D_4^2.C_2^2$ |
$256$ |
$-1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 3, $C_2^2$, $(((C_4 \times C_2): C_2):C_2):C_2$ |
16T660 x 2, 16T661, 32T3222 x 2, 32T3223, 32T3224 x 4, 32T3225 x 4, 32T3226, 32T3227, 32T3228, 32T3229, 32T6291 x 4, 32T7352 |
| 16T662 |
$C_4^2.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$22$ |
$C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ |
16T662, 16T672 x 2, 32T3230, 32T3231 x 2, 32T3232, 32T3270, 32T3271, 32T6290 x 2, 32T7435, 32T7447 |
| 16T665 |
$D_4^2:C_2^2$ |
$256$ |
$-1$ |
✓ |
$5$ |
$25$ |
$C_2$ x 3, $C_2^2$, $(((C_4 \times C_2): C_2):C_2):C_2$ |
16T659 x 2, 16T665, 16T696 x 2, 32T3217, 32T3218 x 4, 32T3219, 32T3220 x 4, 32T3221, 32T3241 x 2, 32T3242, 32T3243, 32T3344, 32T3345, 32T6289 x 4, 32T7363 |
| 16T669 |
$(C_4\times C_8).D_4$ |
$256$ |
$1$ |
✓ |
$5$ |
$25$ |
$C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ |
16T669, 32T3257, 32T3258, 32T3259, 32T7189, 32T7190, 32T7335, 32T7365 |
| 16T672 |
$C_4^2.(C_2\times D_4)$ |
$256$ |
$1$ |
✓ |
$5$ |
$22$ |
$C_2$, $D_{4}$, $(((C_4 \times C_2): C_2):C_2):C_2$ |
16T662 x 2, 16T672, 32T3230, 32T3231 x 2, 32T3232, 32T3270, 32T3271, 32T6290 x 2, 32T7435, 32T7447 |
| 16T673 |
$C_2^4.\SD_{16}$ |
$256$ |
$-1$ |
✓ |
$5$ |
$31$ |
$C_2$, $D_{4}$, $QD_{16}$ |
16T673 x 3, 32T3272 x 2, 32T3273 x 4, 32T7544 x 2 |
Results are complete for degrees $\leq 23$.
