Finite Group DatabasebetaFinite Group DatabasebetaOrder 20736.
2175 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 2175 conjugacy classes of subgroups — too many to draw. Only its 134 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72269063 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72252918 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | PSU(3,𝔽2)×AΓL(1,𝔽9) | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | GO+(4,𝔽2)×AΓL(1,𝔽9) | C2 | 1 | 2 | yes | maximal |
| 5 | #72252907 | — | 2 | 2 | no | — |
| 6 | #72252905 | — | 2 | 2 | no | — |
| 7 | #72252894 | — | 2 | 2 | no | — |
| 8 | #72252880 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #72252876 | C22 | 1 | 2 | yes | complemented |
| 10 | GO+(4,𝔽2)×PSU(3,𝔽2) | C22 | 1 | 2 | yes | — |
| 11 | #72252855 | — | 2 | 2 | no | — |
| 12 | #72252855 | — | 4 | 2 | no | — |
| 13 | #72252854 | — | 2 | 2 | no | — |
| 14 | #72252854 | C22 | 1 | 2 | yes | complemented |
| 15 | #72252851 | C22 | 1 | 2 | yes | — |
| 16 | #72252850 | — | 2 | 2 | no | — |
| 17 | AGL(1,𝔽9)×AΓL(1,𝔽9) | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | AGL(1,𝔽9)×PSU(3,𝔽2) | C22 | 1 | 2 | yes | complemented |
| 19 | AGL(1,𝔽9)×GO+(4,𝔽2) | C22 | 1 | 2 | yes | — |
| 20 | #72252840 | — | 2 | 2 | no | — |
| 21 | #72252837 | C22 | 1 | 2 | yes | complemented |
| 22 | #157×AΓL(1,𝔽9) | — | 2 | 2 | no | — |
| 23 | #157×AΓL(1,𝔽9) | C22 | 1 | 2 | yes | — |
| 24 | #72252834 | — | 2 | 2 | no | — |
| 25 | #72252834 | D4 | 1 | 2 | yes | — |
| 26 | #72220490 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 27 | #72220489 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #72220488 | C22 | 1 | 2 | yes | complemented |
| 29 | #72220487 | C22 | 1 | 2 | yes | — |
| 30 | #72220486 | — | 2 | 2 | no | — |
| 31 | #72220483 | C23 | 1 | 2 | yes | — |
| 32 | PSU(3,𝔽2)2 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #157×PSU(3,𝔽2) | — | 2 | 2 | no | — |
| 34 | #157×PSU(3,𝔽2) | C23 | 1 | 2 | yes | — |
| 35 | #72220466 | C2 | 1 | 1 | yes | maximal, characteristic |
| 36 | #72220458 | C22 | 1 | 1 | yes | characteristic |
| 37 | #72220455 | C22 | 1 | 2 | yes | — |
| 38 | #72220452 | — | 2 | 2 | no | — |
| 39 | #72220452 | C22 | 1 | 2 | yes | — |
| 40 | #72220451 | — | 2 | 2 | no | — |
| 41 | #72220451 | D4 | 1 | 2 | yes | — |
| 42 | GO+(4,𝔽2)2 | C22 | 1 | 1 | yes | characteristic |
| 43 | #72220438 | — | 2 | 2 | no | — |
| 44 | #72220435 | — | 2 | 2 | no | — |
| 45 | #72220435 | C23 | 1 | 2 | yes | — |
| 46 | #157×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 47 | #157×GO+(4,𝔽2) | C23 | 1 | 2 | yes | — |
| 48 | #72220433 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 49 | #72220431 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #72220430 | — | 4 | 1 | no | — |
| 51 | #72220429 | — | 2 | 2 | no | — |
| 52 | #72220429 | C22 | 1 | 2 | yes | complemented |
| 53 | #72220428 | — | 2 | 2 | no | — |
| 54 | #72220428 | — | 2 | 2 | no | — |
| 55 | #72220428 | — | 2 | 2 | no | — |
| 56 | #72220427 | — | 2 | 2 | no | — |
| 57 | #72220427 | D4 | 1 | 2 | yes | — |
| 58 | #72220426 | C22 | 1 | 2 | yes | — |
| 59 | #72220425 | — | 2 | 2 | no | — |
| 60 | AGL(1,𝔽9)2 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #72220421 | — | 2 | 2 | no | — |
| 62 | #72220421 | C23 | 1 | 2 | yes | — |
| 63 | #157×AGL(1,𝔽9) | — | 2 | 2 | no | — |
| 64 | #157×AGL(1,𝔽9) | C23 | 1 | 2 | yes | — |
| 65 | SD16×AΓL(1,𝔽9) | — | 9 | 2 | no | maximal |
| 66 | D32×AΓL(1,𝔽9) | — | 2 | 2 | no | — |
| 67 | #72214314 | — | 2 | 2 | no | — |
| 68 | #72214303 | — | 2 | 2 | no | — |
| 69 | D3×AGL(1,𝔽9)⋊D3 | — | 4 | 2 | no | — |
| 70 | D32×AGL(1,𝔽9) | — | 2 | 2 | no | — |
| 71 | D3×#89091 | — | 4 | 2 | no | — |
| 72 | D32×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 73 | #72214135 | — | 2 | 2 | no | — |
| 74 | D3×#89092 | — | 4 | 2 | no | — |
| 75 | C3×D3×AΓL(1,𝔽9) | — | 4 | 2 | no | — |
| 76 | D32×PSU(3,𝔽2) | — | 2 | 2 | no | — |
| 77 | C3⋊D3×AΓL(1,𝔽9) | D4 | 1 | 2 | yes | — |
| 78 | #72213315 | C22 | 1 | 1 | yes | characteristic |
| 79 | #72213277 | — | 2 | 2 | no | — |
| 80 | #72213277 | — | 4 | 1 | no | — |
| 81 | #72213277 | C23 | 1 | 1 | yes | characteristic |
| 82 | #72213247 | C23 | 1 | 1 | yes | characteristic |
| 83 | #72213220 | — | 4 | 1 | no | — |
| 84 | #72213199 | C23 | 1 | 1 | yes | characteristic |
| 85 | #72210346 | — | 4 | 1 | no | — |
| 86 | C2×D3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 87 | D34 | — | 4 | 1 | no | — |
| 88 | #13049818 | — | 2 | 1 | no | — |
| 89 | #13049818 | — | 4 | 1 | no | — |
| 90 | #13049817 | — | 2 | 2 | no | — |
| 91 | #13049817 | — | 4 | 2 | no | — |
| 92 | C3⋊D3×PSU(3,𝔽2) | C2×D4 | 1 | 2 | yes | — |
| 93 | D3×C3⋊PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 94 | D3×C3⋊PSU(3,𝔽2) | — | 8 | 2 | no | — |
| 95 | C3×D3×PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 96 | #13049813 | — | 2 | 1 | no | — |
| 97 | (#157⋊D3)⋊D3 | — | 2 | 2 | no | — |
| 98 | D3×#157⋊D3 | — | 4 | 2 | no | — |
| 99 | (D32⋊D3)⋊D3 | — | 4 | 2 | no | — |
| 100 | C3⋊D3×GO+(4,𝔽2) | C2×D4 | 1 | 2 | yes | — |
| 101 | D3×D32⋊D3 | — | 8 | 2 | no | — |
| 102 | C3×D3×GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 103 | D32×#157 | — | 2 | 2 | no | — |
| 104 | D32×#157 | — | 4 | 2 | no | — |
| 105 | #13049804 | — | 8 | 1 | no | — |
| 106 | #13049803 | — | 8 | 1 | no | — |
| 107 | #13049802 | — | 8 | 2 | no | — |
| 108 | AGL(1,𝔽9)⋊(C3⋊D3) | SD16 | 1 | 2 | yes | complemented |
| 109 | #13049800 | — | 4 | 2 | no | — |
| 110 | #13049799 | SD16 | 1 | 2 | yes | complemented |
| 111 | #13049798 | — | 4 | 2 | no | — |
| 112 | #13049797 | — | 4 | 2 | no | — |
| 113 | #13049796 | SD16 | 1 | 2 | yes | complemented |
| 114 | C3×AGL(1,𝔽9)⋊D3 | — | 4 | 2 | no | — |
| 115 | C3×#89092 | — | 4 | 2 | no | — |
| 116 | C3×#89091 | — | 4 | 2 | no | — |
| 117 | C32×AΓL(1,𝔽9) | SD16 | 1 | 2 | yes | complemented |
| 118 | #13049789 | — | 2 | 2 | no | — |
| 119 | #13049789 | C2×D4 | 1 | 2 | yes | — |
| 120 | #13049788 | — | 2 | 1 | no | — |
| 121 | #13049787 | — | 2 | 2 | no | — |
| 122 | C3⋊D3×AGL(1,𝔽9) | C2×D4 | 1 | 2 | yes | — |
| 123 | D3×C3⋊AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 124 | C3×D3×AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 125 | #13049783 | — | 2 | 2 | no | — |
| 126 | #13049783 | — | 2 | 2 | no | — |
| 127 | #13049783 | — | 4 | 2 | no | — |
| 128 | #13049783 | C2×D4 | 1 | 2 | yes | — |
| 129 | #13049782 | — | 2 | 2 | no | — |
| 130 | #13049782 | C2×D4 | 1 | 2 | yes | — |
| 131 | #13049781 | — | 2 | 2 | no | — |
| 132 | #13049781 | — | 4 | 2 | no | — |
| 133 | D32⋊#157 | — | 2 | 2 | no | — |
| 134 | D32⋊#157 | — | 4 | 2 | no | — |
| 135 | #13049779 | — | 4 | 1 | no | — |
| 136 | #1572 | — | 2 | 2 | no | — |
| 137 | #1572 | — | 4 | 1 | no | — |
| 138 | #1572 | C24 | 1 | 1 | yes | characteristic |
| 139 | Q8×AΓL(1,𝔽9) | — | 9 | 2 | no | — |
| 140 | SD16×PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 141 | D4×AΓL(1,𝔽9) | — | 9 | 2 | no | — |
| 142 | SD16×GO+(4,𝔽2) | — | 9 | 2 | no | — |
| 143 | #11782430 | — | 9 | 2 | no | — |
| 144 | #11781050 | — | 9 | 2 | no | — |
| 145 | #11781049 | — | 9 | 2 | no | — |
| 146 | #11780872 | — | 9 | 2 | no | — |
| 147 | #11780871 | — | 9 | 2 | no | — |
| 148 | #11780316 | — | 9 | 2 | no | — |
| 149 | #11780315 | — | 9 | 2 | no | — |
| 150 | GO+(4,𝔽2)⋊SD16 | — | 9 | 2 | no | — |
| 151 | #11779068 | — | 9 | 2 | no | — |
| 152 | C8×AΓL(1,𝔽9) | — | 9 | 2 | no | — |
| 153 | SD16×AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 154 | C2×D3×PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 155 | C2×D3×GO+(4,𝔽2) | — | 12 | 2 | no | — |
| 156 | C2×AGL(1,𝔽9)⋊D3 | — | 12 | 2 | no | — |
| 157 | C2×#89092 | — | 12 | 2 | no | — |
| 158 | C2×#89091 | — | 12 | 2 | no | — |
| 159 | C2×C3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 160 | C2×D3×AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 161 | D3×AΓL(1,𝔽9) | — | 4 | 2 | no | — |
| 162 | D3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 163 | D3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 164 | D3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 165 | D3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 166 | D3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 167 | D3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 168 | D3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 169 | #10620215 | — | 4 | 1 | no | — |
| 170 | D3×#1113 | — | 8 | 2 | no | — |
| 171 | D32×C3⋊D3 | — | 2 | 2 | no | — |
| 172 | D32×C3⋊D3 | — | 16 | 1 | no | — |
| 173 | C3×D33 | — | 8 | 2 | no | — |
| 174 | #10620211 | — | 8 | 1 | no | — |
| 175 | #10620211 | — | 16 | 1 | no | — |
| 176 | #10620210 | — | 4 | 2 | no | — |
| 177 | #10620210 | — | 8 | 2 | no | — |
| 178 | #10620209 | — | 2 | 2 | no | — |
| 179 | #10620209 | C2×SD16 | 1 | 2 | yes | complemented |
| 180 | C3×C3⋊PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 181 | C3×C3⋊PSU(3,𝔽2) | — | 8 | 2 | no | — |
| 182 | C32×PSU(3,𝔽2) | C2×SD16 | 1 | 2 | yes | complemented |
| 183 | #10620206 | — | 8 | 1 | no | — |
| 184 | #157⋊(C3⋊D3) | C2×SD16 | 1 | 2 | yes | — |
| 185 | #10620204 | — | 8 | 2 | no | — |
| 186 | #10620203 | — | 4 | 2 | no | — |
| 187 | D32⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 188 | C3×#157⋊D3 | — | 4 | 2 | no | — |
| 189 | C3×D32⋊D3 | — | 8 | 2 | no | — |
| 190 | C32×GO+(4,𝔽2) | C2×SD16 | 1 | 2 | yes | — |
| 191 | #10620198 | — | 2 | 2 | no | — |
| 192 | #10620198 | — | 4 | 1 | no | — |
| 193 | #10620198 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 194 | #10620197 | — | 2 | 2 | no | — |
| 195 | #10620197 | — | 4 | 2 | no | — |
| 196 | C3⋊D3×#157 | — | 2 | 2 | no | — |
| 197 | C3⋊D3×#157 | C22×D4 | 1 | 2 | yes | — |
| 198 | D3×C3⋊#157 | — | 4 | 2 | no | — |
| 199 | D3×C3⋊#157 | — | 8 | 2 | no | — |
| 200 | C3×D3×#157 | — | 4 | 2 | no | — |
| 201 | C3×D3×#157 | — | 8 | 2 | no | — |
| 202 | #10620193 | — | 2 | 1 | no | — |
| 203 | #10620192 | — | 2 | 1 | no | — |
| 204 | #10620191 | — | 2 | 2 | no | — |
| 205 | #10620191 | — | 4 | 2 | no | — |
| 206 | C3⋊(C3⋊AGL(1,𝔽9)) | C2×SD16 | 1 | 2 | yes | complemented |
| 207 | C3×C3⋊AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 208 | C32×AGL(1,𝔽9) | C2×SD16 | 1 | 2 | yes | complemented |
| 209 | C22×AΓL(1,𝔽9) | — | 18 | 2 | no | — |
| 210 | Q8×PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 211 | D4×PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 212 | Q8×GO+(4,𝔽2) | — | 9 | 2 | no | — |
| 213 | D4×GO+(4,𝔽2) | — | 9 | 2 | no | — |
| 214 | Q8×AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 215 | D4×AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 216 | #10596418 | — | 18 | 2 | no | — |
| 217 | #10596417 | — | 18 | 2 | no | — |
| 218 | #10596416 | — | 18 | 2 | no | — |
| 219 | #10596410 | — | 9 | 2 | no | — |
| 220 | #10596409 | — | 9 | 2 | no | — |
| 221 | #10596408 | — | 9 | 2 | no | — |
| 222 | #10596408 | — | 9 | 2 | no | — |
| 223 | C4×AΓL(1,𝔽9) | — | 9 | 2 | no | — |
| 224 | C4×AΓL(1,𝔽9) | — | 18 | 2 | no | — |
| 225 | PSU(3,𝔽2)⋊Q8 | — | 9 | 2 | no | — |
| 226 | PSU(3,𝔽2)⋊Q8 | — | 18 | 2 | no | — |
| 227 | AGL(1,𝔽9)⋊Q8 | — | 9 | 2 | no | — |
| 228 | AGL(1,𝔽9)⋊Q8 | — | 9 | 2 | no | — |
| 229 | AGL(1,𝔽9)⋊Q8 | — | 18 | 2 | no | — |
| 230 | GO+(4,𝔽2)⋊Q8 | — | 9 | 2 | no | — |
| 231 | GO+(4,𝔽2)⋊Q8 | — | 18 | 2 | no | — |
| 232 | D32×SD16 | — | 18 | 2 | no | — |
| 233 | SD16×#157 | — | 9 | 2 | no | — |
| 234 | SD16×#157 | — | 18 | 2 | no | — |
| 235 | #10593561 | — | 9 | 2 | no | — |
| 236 | #10593561 | — | 18 | 2 | no | — |
| 237 | #10593559 | — | 9 | 2 | no | — |
| 238 | #10593559 | — | 18 | 2 | no | — |
| 239 | #10593535 | — | 9 | 2 | no | — |
| 240 | #10593535 | — | 18 | 2 | no | — |
| 241 | C8×PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 242 | #10593476 | — | 9 | 2 | no | — |
| 243 | #10593471 | — | 18 | 2 | no | — |
| 244 | #10593465 | — | 9 | 2 | no | — |
| 245 | #10593459 | — | 18 | 2 | no | — |
| 246 | #10593292 | — | 9 | 2 | no | — |
| 247 | #10593284 | — | 18 | 2 | no | — |
| 248 | C8×GO+(4,𝔽2) | — | 9 | 2 | no | — |
| 249 | Q8⋊AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 250 | D4⋊AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 251 | #10593252 | — | 9 | 2 | no | — |
| 252 | C8×AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 253 | AGL(1,𝔽9)⋊C8 | — | 9 | 2 | no | — |
| 254 | #10593158 | — | 9 | 2 | no | — |
| 255 | #10593157 | — | 9 | 2 | no | — |
| 256 | #10593156 | — | 9 | 2 | no | — |
| 257 | #10593155 | — | 9 | 2 | no | — |
| 258 | PSU(3,𝔽2)⋊C8 | — | 9 | 2 | no | — |
| 259 | GO+(4,𝔽2)⋊C8 | — | 9 | 2 | no | — |
| 260 | C2×D33 | — | 24 | 2 | no | — |
| 261 | C2×C3⋊PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 262 | C2×C3⋊PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 263 | C2×C3×PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 264 | C2×#157⋊D3 | — | 12 | 2 | no | — |
| 265 | C2×D32⋊D3 | — | 24 | 2 | no | — |
| 266 | C2×C3×GO+(4,𝔽2) | — | 12 | 2 | no | — |
| 267 | C2×D3×#157 | — | 12 | 2 | no | — |
| 268 | C2×D3×#157 | — | 24 | 2 | no | — |
| 269 | C2×C3⋊AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 270 | C2×C3×AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 271 | D3×PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 272 | D3×PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 273 | D3×PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 274 | D3×PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 275 | D3×PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 276 | D3×PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 277 | D3×GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 278 | D3×GO+(4,𝔽2) | — | 12 | 2 | no | — |
| 279 | D3×GO+(4,𝔽2) | — | 12 | 2 | no | — |
| 280 | D3×GO+(4,𝔽2) | — | 12 | 2 | no | — |
| 281 | D3×GO+(4,𝔽2) | — | 24 | 2 | no | — |
| 282 | D3×GO+(4,𝔽2) | — | 24 | 2 | no | — |
| 283 | AGL(1,𝔽9)⋊D3 | — | 4 | 2 | no | — |
| 284 | AGL(1,𝔽9)⋊D3 | — | 12 | 2 | no | — |
| 285 | AGL(1,𝔽9)⋊D3 | — | 12 | 2 | no | — |
| 286 | AGL(1,𝔽9)⋊D3 | — | 12 | 2 | no | — |
| 287 | #89092 | — | 4 | 2 | no | — |
| 288 | #89092 | — | 12 | 2 | no | — |
| 289 | #89092 | — | 12 | 2 | no | — |
| 290 | #89092 | — | 12 | 2 | no | — |
| 291 | #89091 | — | 4 | 2 | no | — |
| 292 | #89091 | — | 12 | 2 | no | — |
| 293 | #89091 | — | 12 | 2 | no | — |
| 294 | #89091 | — | 12 | 2 | no | — |
| 295 | C3×AΓL(1,𝔽9) | — | 4 | 2 | no | — |
| 296 | C3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 297 | C3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 298 | C3×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 299 | D3×AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 300 | D3×AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 301 | D3×AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 302 | D3×AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 303 | C3⋊#1113 | — | 2 | 2 | no | — |
| 304 | C3⋊#1113 | — | 16 | 1 | no | — |
| 305 | C3⋊D32 | — | 8 | 1 | no | — |
| 306 | C3⋊D32 | D42 | 1 | 1 | yes | characteristic |
| 307 | D3×C3⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 308 | C3×#1113 | — | 8 | 2 | no | — |
| 309 | C3×D3×C3⋊D3 | — | 4 | 2 | no | — |
| 310 | C3×D3×C3⋊D3 | — | 16 | 2 | no | — |
| 311 | C32×D32 | — | 2 | 2 | no | — |
| 312 | C32×D32 | — | 16 | 1 | no | — |
| 313 | #66472 | — | 2 | 1 | no | — |
| 314 | #66472 | — | 4 | 2 | no | — |
| 315 | #66472 | — | 8 | 1 | no | — |
| 316 | C3⋊(C3⋊#157) | — | 2 | 2 | no | — |
| 317 | C3⋊(C3⋊#157) | #577 | 1 | 2 | yes | — |
| 318 | C3×C3⋊#157 | — | 4 | 2 | no | — |
| 319 | C3×C3⋊#157 | — | 8 | 2 | no | — |
| 320 | C32×#157 | — | 2 | 2 | no | — |
| 321 | C32×#157 | C22×SD16 | 1 | 2 | yes | — |
| 322 | C22×PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 323 | C22×GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 324 | C22×AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 325 | C2×AΓL(1,𝔽9) | — | 9 | 2 | no | — |
| 326 | C2×AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 327 | C2×AΓL(1,𝔽9) | — | 18 | 2 | no | — |
| 328 | C2×AΓL(1,𝔽9) | — | 18 | 2 | no | — |
| 329 | C2×AΓL(1,𝔽9) | — | 18 | 2 | no | — |
| 330 | C2×AΓL(1,𝔽9) | — | 18 | 2 | no | — |
| 331 | C2×AΓL(1,𝔽9) | — | 36 | 2 | no | — |
| 332 | C2×AΓL(1,𝔽9) | — | 36 | 2 | no | — |
| 333 | C2×AΓL(1,𝔽9) | — | 36 | 2 | no | — |
| 334 | C2×AΓL(1,𝔽9) | — | 36 | 2 | no | — |
| 335 | D32×Q8 | — | 18 | 2 | no | — |
| 336 | D32×D4 | — | 18 | 2 | no | — |
| 337 | Q8×#157 | — | 9 | 2 | no | — |
| 338 | Q8×#157 | — | 18 | 2 | no | — |
| 339 | D4×#157 | — | 9 | 2 | no | — |
| 340 | D4×#157 | — | 18 | 2 | no | — |
| 341 | C22⋊PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 342 | C22⋊PSU(3,𝔽2) | — | 36 | 2 | no | — |
| 343 | C4⋊PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 344 | C4⋊PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 345 | C4⋊PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 346 | C4⋊PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 347 | C4⋊PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 348 | C4⋊PSU(3,𝔽2) | — | 36 | 2 | no | — |
| 349 | C4×PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 350 | C4×PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 351 | #64242 | — | 18 | 2 | no | — |
| 352 | #64241 | — | 36 | 2 | no | — |
| 353 | #64231 | — | 9 | 2 | no | — |
| 354 | #64230 | — | 18 | 2 | no | — |
| 355 | C4×GO+(4,𝔽2) | — | 9 | 2 | no | — |
| 356 | C4×GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 357 | #64227 | — | 18 | 2 | no | — |
| 358 | #64222 | — | 9 | 2 | no | — |
| 359 | #64222 | — | 18 | 2 | no | — |
| 360 | D32⋊Q8 | — | 18 | 2 | no | — |
| 361 | D32⋊Q8 | — | 36 | 2 | no | — |
| 362 | C22⋊AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 363 | C4⋊AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 364 | C4⋊AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 365 | C4⋊AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 366 | C4×AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 367 | C4×AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 368 | C4×AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 369 | AGL(1,𝔽9)⋊C4 | — | 9 | 2 | no | — |
| 370 | AGL(1,𝔽9)⋊C4 | — | 18 | 2 | no | — |
| 371 | AGL(1,𝔽9)⋊C4 | — | 18 | 2 | no | — |
| 372 | AGL(1,𝔽9)⋊C4 | — | 18 | 2 | no | — |
| 373 | AGL(1,𝔽9)⋊C4 | — | 18 | 2 | no | — |
| 374 | AGL(1,𝔽9)⋊C4 | — | 36 | 2 | no | — |
| 375 | PSU(3,𝔽2)⋊C4 | — | 9 | 2 | no | — |
| 376 | PSU(3,𝔽2)⋊C4 | — | 18 | 2 | no | — |
| 377 | PSU(3,𝔽2)⋊C4 | — | 18 | 2 | no | — |
| 378 | GO+(4,𝔽2)⋊C4 | — | 9 | 2 | no | — |
| 379 | GO+(4,𝔽2)⋊C4 | — | 18 | 2 | no | — |
| 380 | GO+(4,𝔽2)⋊C4 | — | 18 | 2 | no | — |
| 381 | SD16×C3⋊D3 | — | 9 | 2 | no | — |
| 382 | C3×D3×SD16 | — | 36 | 2 | no | — |
| 383 | #63940 | — | 18 | 2 | no | — |
| 384 | D3×#215 | — | 36 | 2 | no | — |
| 385 | #63930 | — | 18 | 2 | no | — |
| 386 | D3×#214 | — | 36 | 2 | no | — |
| 387 | #63796 | — | 18 | 2 | no | — |
| 388 | D3×#204 | — | 36 | 2 | no | — |
| 389 | D32×C8 | — | 18 | 2 | no | — |
| 390 | #63784 | — | 9 | 2 | no | — |
| 391 | #63784 | — | 18 | 2 | no | — |
| 392 | #63782 | — | 9 | 2 | no | — |
| 393 | #63782 | — | 18 | 2 | no | — |
| 394 | #63768 | — | 9 | 2 | no | — |
| 395 | #63768 | — | 18 | 2 | no | — |
| 396 | C8×#157 | — | 9 | 2 | no | — |
| 397 | C8×#157 | — | 18 | 2 | no | — |
| 398 | #63745 | — | 18 | 2 | no | — |
| 399 | #63745 | — | 18 | 2 | no | — |
| 400 | #63745 | — | 18 | 2 | no | — |
| 401 | #63744 | — | 9 | 2 | no | — |
| 402 | #63744 | — | 18 | 2 | no | — |
| 403 | #63732 | — | 9 | 2 | no | — |
| 404 | #63730 | — | 18 | 2 | no | — |
| 405 | #63729 | — | 18 | 2 | no | — |
| 406 | D32⋊C8 | — | 18 | 2 | no | — |
| 407 | SD162 | — | 81 | 1 | no | Sylow |
| 408 | C2×#1113 | — | 24 | 2 | no | — |
| 409 | C2×D3×C3⋊D3 | — | 12 | 2 | no | — |
| 410 | C2×D3×C3⋊D3 | — | 48 | 2 | no | — |
| 411 | C2×C3×D32 | — | 24 | 2 | no | — |
| 412 | C2×C3×D32 | — | 48 | 2 | no | — |
| 413 | C2×C3⋊#157 | — | 12 | 2 | no | — |
| 414 | C2×C3⋊#157 | — | 24 | 2 | no | — |
| 415 | C2×C3×#157 | — | 12 | 2 | no | — |
| 416 | C2×C3×#157 | — | 24 | 2 | no | — |
| 417 | D33 | — | 8 | 2 | no | — |
| 418 | D33 | — | 24 | 2 | no | — |
| 419 | D33 | — | 24 | 2 | no | — |
| 420 | D33 | — | 24 | 2 | no | — |
| 421 | D33 | — | 48 | 2 | no | — |
| 422 | D33 | — | 48 | 2 | no | — |
| 423 | D33 | — | 96 | 1 | no | — |
| 424 | C3⋊PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 425 | C3⋊PSU(3,𝔽2) | — | 8 | 2 | no | — |
| 426 | C3⋊PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 427 | C3⋊PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 428 | C3⋊PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 429 | C3⋊PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 430 | C3⋊PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 431 | C3×PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 432 | C3×PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 433 | C3×PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 434 | #157⋊D3 | — | 4 | 2 | no | — |
| 435 | #157⋊D3 | — | 12 | 2 | no | — |
| 436 | #157⋊D3 | — | 24 | 2 | no | — |
| 437 | D32⋊D3 | — | 8 | 2 | no | — |
| 438 | D32⋊D3 | — | 24 | 2 | no | — |
| 439 | D32⋊D3 | — | 24 | 2 | no | — |
| 440 | D32⋊D3 | — | 24 | 2 | no | — |
| 441 | C3×GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 442 | C3×GO+(4,𝔽2) | — | 12 | 2 | no | — |
| 443 | C3×GO+(4,𝔽2) | — | 24 | 2 | no | — |
| 444 | D3×#157 | — | 4 | 2 | no | — |
| 445 | D3×#157 | — | 8 | 2 | no | — |
| 446 | D3×#157 | — | 12 | 2 | no | — |
| 447 | D3×#157 | — | 12 | 2 | no | — |
| 448 | D3×#157 | — | 12 | 2 | no | — |
| 449 | D3×#157 | — | 24 | 2 | no | — |
| 450 | D3×#157 | — | 24 | 2 | no | — |
| 451 | D3×#157 | — | 24 | 2 | no | — |
| 452 | C3⋊AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 453 | C3⋊AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 454 | C3×AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 455 | C3×AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 456 | C2×D3×SD16 | — | 108 | 2 | no | — |
| 457 | C3⋊(C3⋊(C3⋊D3)) | #3291 | 1 | 1 | yes | characteristic |
| 458 | C3×C3⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 459 | C32×C3⋊D3 | — | 16 | 1 | no | — |
| 460 | C32×C3⋊D3 | D4×SD16 | 1 | 2 | yes | — |
| 461 | C33×D3 | — | 4 | 2 | no | — |
| 462 | C22×D32 | — | 36 | 2 | no | — |
| 463 | C22×D32 | — | 144 | 1 | no | — |
| 464 | C22×#157 | — | 18 | 2 | no | — |
| 465 | C22×#157 | — | 36 | 2 | no | — |
| 466 | C2×PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 467 | C2×PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 468 | C2×PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 469 | C2×PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 470 | C2×PSU(3,𝔽2) | — | 36 | 2 | no | — |
| 471 | C2×PSU(3,𝔽2) | — | 36 | 2 | no | — |
| 472 | C2×PSU(3,𝔽2) | — | 36 | 2 | no | — |
| 473 | C2×PSU(3,𝔽2) | — | 72 | 2 | no | — |
| 474 | C2×GO+(4,𝔽2) | — | 9 | 2 | no | — |
| 475 | C2×GO+(4,𝔽2) | — | 12 | 2 | no | — |
| 476 | C2×GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 477 | C2×GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 478 | C2×GO+(4,𝔽2) | — | 36 | 2 | no | — |
| 479 | C2×GO+(4,𝔽2) | — | 36 | 2 | no | — |
| 480 | C2×GO+(4,𝔽2) | — | 72 | 2 | no | — |
| 481 | C2×AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 482 | C2×AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 483 | C2×AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 484 | C2×AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 485 | C2×AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 486 | C2×AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 487 | C2×AGL(1,𝔽9) | — | 36 | 2 | no | — |
| 488 | AΓL(1,𝔽9) | — | 9 | 2 | no | — |
| 489 | AΓL(1,𝔽9) | — | 9 | 2 | no | — |
| 490 | AΓL(1,𝔽9) | — | 9 | 2 | no | — |
| 491 | AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 492 | AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 493 | AΓL(1,𝔽9) | — | 12 | 2 | no | — |
| 494 | AΓL(1,𝔽9) | — | 36 | 2 | no | — |
| 495 | AΓL(1,𝔽9) | — | 36 | 2 | no | — |
| 496 | AΓL(1,𝔽9) | — | 36 | 2 | no | — |
| 497 | AΓL(1,𝔽9) | — | 72 | 2 | no | — |
| 498 | AΓL(1,𝔽9) | — | 72 | 2 | no | — |
| 499 | AΓL(1,𝔽9) | — | 72 | 2 | no | — |
| 500 | AΓL(1,𝔽9) | — | 144 | 1 | no | — |
| 501 | AΓL(1,𝔽9) | AΓL(1,𝔽9) | 1 | 2 | yes | direct product factor |
| 502 | Q8×C3⋊D3 | — | 9 | 2 | no | — |
| 503 | D4×C3⋊D3 | — | 9 | 2 | no | — |
| 504 | C3×D3×Q8 | — | 36 | 2 | no | — |
| 505 | C3×D3×D4 | — | 36 | 2 | no | — |
| 506 | #3811 | — | 36 | 2 | no | — |
| 507 | D3×#67 | — | 72 | 2 | no | — |
| 508 | #3802 | — | 18 | 2 | no | — |
| 509 | D3×D12 | — | 36 | 2 | no | — |
| 510 | C4×D32 | — | 18 | 2 | no | — |
| 511 | C4×D32 | — | 36 | 2 | no | — |
| 512 | #3797 | — | 18 | 2 | no | — |
| 513 | #3797 | — | 36 | 2 | no | — |
| 514 | D3×Dic6 | — | 36 | 2 | no | — |
| 515 | D3×Dic6 | — | 72 | 2 | no | — |
| 516 | C22⋊#157 | — | 18 | 2 | no | — |
| 517 | C22⋊#157 | — | 36 | 2 | no | — |
| 518 | C4⋊#157 | — | 9 | 2 | no | — |
| 519 | C4⋊#157 | — | 9 | 2 | no | — |
| 520 | C4⋊#157 | — | 18 | 2 | no | — |
| 521 | C4⋊#157 | — | 18 | 2 | no | — |
| 522 | C4⋊#157 | — | 18 | 2 | no | — |
| 523 | C4⋊#157 | — | 36 | 2 | no | — |
| 524 | C4×#157 | — | 9 | 2 | no | — |
| 525 | C4×#157 | — | 18 | 2 | no | — |
| 526 | C4×#157 | — | 18 | 2 | no | — |
| 527 | C4×#157 | — | 36 | 2 | no | — |
| 528 | #3787 | — | 9 | 2 | no | — |
| 529 | #3787 | — | 18 | 2 | no | — |
| 530 | #3777 | — | 9 | 2 | no | — |
| 531 | #3777 | — | 18 | 2 | no | — |
| 532 | #3777 | — | 18 | 2 | no | — |
| 533 | #3777 | — | 18 | 2 | no | — |
| 534 | #3777 | — | 36 | 2 | no | — |
| 535 | #3777 | — | 36 | 2 | no | — |
| 536 | #3775 | — | 72 | 2 | no | — |
| 537 | #3773 | — | 9 | 2 | no | — |
| 538 | #3773 | — | 18 | 2 | no | — |
| 539 | #3773 | — | 18 | 2 | no | — |
| 540 | #3773 | — | 36 | 2 | no | — |
| 541 | D32⋊C4 | — | 18 | 2 | no | — |
| 542 | D32⋊C4 | — | 36 | 2 | no | — |
| 543 | D32⋊C4 | — | 36 | 2 | no | — |
| 544 | C32×SD16 | — | 9 | 2 | no | — |
| 545 | #3755 | — | 9 | 2 | no | — |
| 546 | #3754 | — | 9 | 2 | no | — |
| 547 | #3744 | — | 9 | 2 | no | — |
| 548 | C8×C3⋊D3 | — | 9 | 2 | no | — |
| 549 | C3×#215 | — | 36 | 2 | no | — |
| 550 | C3×#214 | — | 36 | 2 | no | — |
| 551 | C3×#204 | — | 36 | 2 | no | — |
| 552 | C3×D3×C8 | — | 36 | 2 | no | — |
| 553 | #3717 | — | 36 | 2 | no | — |
| 554 | #3716 | — | 36 | 2 | no | — |
| 555 | #3715 | — | 36 | 2 | no | — |
| 556 | #3710 | — | 18 | 2 | no | — |
| 557 | D3×C3⋊C8 | — | 36 | 2 | no | — |
| 558 | Q8×SD16 | — | 81 | 2 | no | — |
| 559 | D4×SD16 | — | 81 | 2 | no | — |
| 560 | #1705 | — | 81 | 1 | no | — |
| 561 | #1671 | — | 81 | 2 | no | — |
| 562 | #1666 | — | 81 | 2 | no | — |
| 563 | #1651 | — | 81 | 2 | no | — |
| 564 | #1629 | — | 81 | 1 | no | — |
| 565 | #1623 | — | 81 | 1 | no | — |
| 566 | C8×SD16 | — | 81 | 2 | no | — |
| 567 | C2×C3⋊(C3⋊D3) | — | 12 | 2 | no | — |
| 568 | C2×C3×C3⋊D3 | — | 12 | 2 | no | — |
| 569 | C2×C3×C3⋊D3 | — | 48 | 2 | no | — |
| 570 | C2×C32×D3 | — | 12 | 2 | no | — |
| 571 | C2×C32×D3 | — | 48 | 2 | no | — |
| 572 | #1113 | — | 8 | 2 | no | — |
| 573 | #1113 | — | 24 | 2 | no | — |
| 574 | #1113 | — | 48 | 2 | no | — |
| 575 | #1113 | — | 96 | 1 | no | — |
| 576 | D3×C3⋊D3 | — | 4 | 2 | no | — |
| 577 | D3×C3⋊D3 | — | 12 | 2 | no | — |
| 578 | D3×C3⋊D3 | — | 12 | 2 | no | — |
| 579 | D3×C3⋊D3 | — | 12 | 2 | no | — |
| 580 | D3×C3⋊D3 | — | 16 | 2 | no | — |
| 581 | D3×C3⋊D3 | — | 48 | 2 | no | — |
| 582 | D3×C3⋊D3 | — | 48 | 2 | no | — |
| 583 | D3×C3⋊D3 | — | 48 | 2 | no | — |
| 584 | D3×C3⋊D3 | — | 96 | 2 | no | — |
| 585 | D3×C3⋊D3 | — | 96 | 1 | no | — |
| 586 | C3×D32 | — | 8 | 2 | no | — |
| 587 | C3×D32 | — | 16 | 2 | no | — |
| 588 | C3×D32 | — | 24 | 2 | no | — |
| 589 | C3×D32 | — | 32 | 1 | no | — |
| 590 | C3×D32 | — | 48 | 2 | no | — |
| 591 | C3×D32 | — | 48 | 2 | no | — |
| 592 | C3×D32 | — | 48 | 2 | no | — |
| 593 | C3×D32 | — | 48 | 2 | no | — |
| 594 | C3×D32 | — | 96 | 2 | no | — |
| 595 | C3⋊#157 | — | 4 | 2 | no | — |
| 596 | C3⋊#157 | — | 8 | 2 | no | — |
| 597 | C3⋊#157 | — | 12 | 2 | no | — |
| 598 | C3⋊#157 | — | 24 | 2 | no | — |
| 599 | C3×#157 | — | 4 | 2 | no | — |
| 600 | C3×#157 | — | 8 | 2 | no | — |
| 601 | C3×#157 | — | 12 | 2 | no | — |
| 602 | C3×#157 | — | 24 | 2 | no | — |
| 603 | C2×D3×Q8 | — | 108 | 2 | no | — |
| 604 | C2×D3×D4 | — | 108 | 2 | no | — |
| 605 | C2×C3×SD16 | — | 108 | 2 | no | — |
| 606 | C2×#215 | — | 108 | 2 | no | — |
| 607 | C2×#214 | — | 108 | 2 | no | — |
| 608 | D3×SD16 | — | 36 | 2 | no | — |
| 609 | D3×SD16 | — | 108 | 2 | no | — |
| 610 | D3×SD16 | — | 108 | 2 | no | — |
| 611 | D3×SD16 | — | 108 | 2 | no | — |
| 612 | D3×SD16 | — | 108 | 2 | no | — |
| 613 | D3×SD16 | — | 108 | 2 | no | — |
| 614 | D3×SD16 | — | 108 | 2 | no | — |
| 615 | D3×SD16 | — | 108 | 2 | no | — |
| 616 | C2×#204 | — | 108 | 2 | no | — |
| 617 | C2×D3×C8 | — | 108 | 2 | no | — |
| 618 | C34 | SD162 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 619 | C22×C3⋊D3 | — | 18 | 2 | no | — |
| 620 | C22×C3⋊D3 | — | 144 | 1 | no | — |
| 621 | C22×C3×D3 | — | 72 | 2 | no | — |
| 622 | C22×C3×D3 | — | 144 | 2 | no | — |
| 623 | C2×D32 | — | 18 | 2 | no | — |
| 624 | C2×D32 | — | 24 | 2 | no | — |
| 625 | C2×D32 | — | 288 | 2 | no | — |
| 626 | C2×D32 | — | 36 | 2 | no | — |
| 627 | C2×D32 | — | 48 | 2 | no | — |
| 628 | C2×D32 | — | 72 | 2 | no | — |
| 629 | C2×D32 | — | 72 | 2 | no | — |
| 630 | C2×D32 | — | 144 | 2 | no | — |
| 631 | C2×D32 | — | 144 | 1 | no | — |
| 632 | C2×D32 | — | 144 | 2 | no | — |
| 633 | C2×D32 | — | 144 | 2 | no | — |
| 634 | C2×D32 | — | 144 | 2 | no | — |
| 635 | C2×D32 | — | 144 | 2 | no | — |
| 636 | C2×D32 | — | 144 | 1 | no | — |
| 637 | C2×#157 | — | 9 | 2 | no | — |
| 638 | C2×#157 | — | 9 | 2 | no | — |
| 639 | C2×#157 | — | 12 | 2 | no | — |
| 640 | C2×#157 | — | 18 | 2 | no | — |
| 641 | C2×#157 | — | 18 | 2 | no | — |
| 642 | C2×#157 | — | 18 | 2 | no | — |
| 643 | C2×#157 | — | 18 | 2 | no | — |
| 644 | C2×#157 | — | 24 | 2 | no | — |
| 645 | C2×#157 | — | 36 | 2 | no | — |
| 646 | C2×#157 | — | 36 | 2 | no | — |
| 647 | C2×#157 | — | 36 | 2 | no | — |
| 648 | C2×#157 | — | 72 | 2 | no | — |
| 649 | PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 650 | PSU(3,𝔽2) | — | 12 | 2 | no | — |
| 651 | PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 652 | PSU(3,𝔽2) | — | 24 | 2 | no | — |
| 653 | PSU(3,𝔽2) | — | 288 | 1 | no | — |
| 654 | PSU(3,𝔽2) | — | 36 | 2 | no | — |
| 655 | PSU(3,𝔽2) | — | 72 | 2 | no | — |
| 656 | PSU(3,𝔽2) | — | 72 | 2 | no | — |
| 657 | PSU(3,𝔽2) | — | 144 | 2 | no | — |
| 658 | PSU(3,𝔽2) | — | 144 | 1 | no | — |
| 659 | PSU(3,𝔽2) | C2×AΓL(1,𝔽9) | 1 | 2 | yes | complemented |
| 660 | GO+(4,𝔽2) | — | 9 | 2 | no | — |
| 661 | GO+(4,𝔽2) | — | 12 | 2 | no | — |
| 662 | GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 663 | GO+(4,𝔽2) | — | 24 | 2 | no | — |
| 664 | GO+(4,𝔽2) | — | 36 | 2 | no | — |
| 665 | GO+(4,𝔽2) | — | 72 | 2 | no | — |
| 666 | GO+(4,𝔽2) | — | 72 | 2 | no | — |
| 667 | GO+(4,𝔽2) | — | 144 | 1 | no | — |
| 668 | GO+(4,𝔽2) | C2×AΓL(1,𝔽9) | 1 | 2 | yes | — |
| 669 | AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 670 | AGL(1,𝔽9) | — | 12 | 2 | no | — |
| 671 | AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 672 | AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 673 | AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 674 | AGL(1,𝔽9) | — | 36 | 2 | no | — |
| 675 | AGL(1,𝔽9) | — | 144 | 1 | no | — |
| 676 | AGL(1,𝔽9) | C2×AΓL(1,𝔽9) | 1 | 2 | yes | complemented |
| 677 | C32×Q8 | — | 9 | 2 | no | — |
| 678 | C32×D4 | — | 9 | 2 | no | — |
| 679 | #638 | — | 18 | 2 | no | — |
| 680 | C4⋊(C3⋊D3) | — | 9 | 2 | no | — |
| 681 | C4×C3⋊D3 | — | 9 | 2 | no | — |
| 682 | C4×C3⋊D3 | — | 18 | 2 | no | — |
| 683 | #634 | — | 9 | 2 | no | — |
| 684 | #634 | — | 18 | 2 | no | — |
| 685 | C3×#67 | — | 72 | 2 | no | — |
| 686 | C3×D12 | — | 36 | 2 | no | — |
| 687 | C3×C4×D3 | — | 36 | 2 | no | — |
| 688 | C3×C4×D3 | — | 72 | 2 | no | — |
| 689 | C3×Dic6 | — | 36 | 2 | no | — |
| 690 | C3×Dic6 | — | 72 | 2 | no | — |
| 691 | #627 | — | 36 | 2 | no | — |
| 692 | #627 | — | 72 | 2 | no | — |
| 693 | #626 | — | 72 | 2 | no | — |
| 694 | #625 | — | 36 | 2 | no | — |
| 695 | #624 | — | 18 | 2 | no | — |
| 696 | #624 | — | 36 | 2 | no | — |
| 697 | D3×Dic3 | — | 36 | 2 | no | — |
| 698 | D3×Dic3 | — | 72 | 2 | no | — |
| 699 | #622 | — | 18 | 2 | no | — |
| 700 | #622 | — | 36 | 2 | no | — |
| 701 | C32×C8 | — | 9 | 2 | no | — |
| 702 | C3⋊(C3⋊C8) | — | 9 | 2 | no | — |
| 703 | C3×C3⋊C8 | — | 36 | 2 | no | — |
| 704 | C22×SD16 | — | 162 | 2 | no | — |
| 705 | Q82 | — | 81 | 1 | no | — |
| 706 | D4×Q8 | — | 81 | 2 | no | — |
| 707 | D42 | — | 81 | 1 | no | — |
| 708 | #498 | — | 81 | 1 | no | — |
| 709 | #498 | — | 81 | 2 | no | — |
| 710 | #498 | — | 162 | 2 | no | — |
| 711 | #492 | — | 81 | 1 | no | — |
| 712 | #492 | — | 81 | 2 | no | — |
| 713 | #476 | — | 81 | 2 | no | — |
| 714 | #476 | — | 162 | 2 | no | — |
| 715 | #475 | — | 81 | 2 | no | — |
| 716 | #475 | — | 162 | 2 | no | — |
| 717 | #465 | — | 162 | 2 | no | — |
| 718 | #461 | — | 81 | 2 | no | — |
| 719 | #460 | — | 81 | 2 | no | — |
| 720 | #450 | — | 162 | 2 | no | — |
| 721 | #448 | — | 162 | 2 | no | — |
| 722 | C8×Q8 | — | 81 | 2 | no | — |
| 723 | C4×SD16 | — | 81 | 2 | no | — |
| 724 | C4×SD16 | — | 162 | 2 | no | — |
| 725 | C8×D4 | — | 81 | 2 | no | — |
| 726 | #334 | — | 81 | 2 | no | — |
| 727 | #333 | — | 81 | 1 | no | — |
| 728 | #332 | — | 81 | 2 | no | — |
| 729 | #331 | — | 81 | 1 | no | — |
| 730 | Q8⋊C8 | — | 81 | 2 | no | — |
| 731 | D4⋊C8 | — | 81 | 2 | no | — |
| 732 | C82 | — | 81 | 1 | no | — |
| 733 | C2×C33 | — | 12 | 2 | no | — |
| 734 | C3⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 735 | C3⋊(C3⋊D3) | — | 12 | 2 | no | — |
| 736 | C3⋊(C3⋊D3) | — | 96 | 1 | no | — |
| 737 | C3×C3⋊D3 | — | 4 | 2 | no | — |
| 738 | C3×C3⋊D3 | — | 12 | 2 | no | — |
| 739 | C3×C3⋊D3 | — | 16 | 2 | no | — |
| 740 | C3×C3⋊D3 | — | 32 | 1 | no | — |
| 741 | C3×C3⋊D3 | — | 48 | 2 | no | — |
| 742 | C3×C3⋊D3 | — | 96 | 2 | no | — |
| 743 | C32×D3 | — | 4 | 2 | no | — |
| 744 | C32×D3 | — | 12 | 2 | no | — |
| 745 | C32×D3 | — | 16 | 2 | no | — |
| 746 | C32×D3 | — | 32 | 2 | no | — |
| 747 | C32×D3 | — | 48 | 2 | no | — |
| 748 | C32×D3 | — | 96 | 1 | no | — |
| 749 | C23×D3 | — | 216 | 2 | no | — |
| 750 | C2×C3×Q8 | — | 108 | 2 | no | — |
| 751 | C2×C3×D4 | — | 108 | 2 | no | — |
| 752 | C2×#67 | — | 216 | 2 | no | — |
| 753 | D3×Q8 | — | 36 | 2 | no | — |
| 754 | D3×Q8 | — | 108 | 2 | no | — |
| 755 | D3×Q8 | — | 108 | 2 | no | — |
| 756 | D3×Q8 | — | 108 | 2 | no | — |
| 757 | D3×Q8 | — | 216 | 2 | no | — |
| 758 | D3×Q8 | — | 216 | 2 | no | — |
| 759 | D3×D4 | — | 36 | 2 | no | — |
| 760 | D3×D4 | — | 108 | 2 | no | — |
| 761 | D3×D4 | — | 108 | 2 | no | — |
| 762 | D3×D4 | — | 108 | 2 | no | — |
| 763 | D3×D4 | — | 216 | 2 | no | — |
| 764 | D3×D4 | — | 216 | 2 | no | — |
| 765 | C2×D12 | — | 108 | 2 | no | — |
| 766 | C2×C4×D3 | — | 108 | 2 | no | — |
| 767 | C2×C4×D3 | — | 216 | 2 | no | — |
| 768 | C2×Dic6 | — | 108 | 2 | no | — |
| 769 | C2×Dic6 | — | 216 | 2 | no | — |
| 770 | C3×SD16 | — | 36 | 2 | no | — |
| 771 | C3×SD16 | — | 108 | 2 | no | — |
| 772 | C3×SD16 | — | 108 | 2 | no | — |
| 773 | C3×SD16 | — | 108 | 2 | no | — |
| 774 | C2×C3×C8 | — | 108 | 2 | no | — |
| 775 | #215 | — | 36 | 2 | no | — |
| 776 | #215 | — | 108 | 2 | no | — |
| 777 | #215 | — | 108 | 2 | no | — |
| 778 | #215 | — | 108 | 2 | no | — |
| 779 | #214 | — | 36 | 2 | no | — |
| 780 | #214 | — | 108 | 2 | no | — |
| 781 | #214 | — | 108 | 2 | no | — |
| 782 | #214 | — | 108 | 2 | no | — |
| 783 | C2×C3⋊C8 | — | 108 | 2 | no | — |
| 784 | #204 | — | 36 | 2 | no | — |
| 785 | #204 | — | 108 | 2 | no | — |
| 786 | #204 | — | 108 | 2 | no | — |
| 787 | #204 | — | 108 | 2 | no | — |
| 788 | D3×C8 | — | 36 | 2 | no | — |
| 789 | D3×C8 | — | 108 | 2 | no | — |
| 790 | D3×C8 | — | 108 | 2 | no | — |
| 791 | D3×C8 | — | 108 | 2 | no | — |
| 792 | C22×C32 | — | 18 | 2 | no | — |
| 793 | C22×C32 | — | 144 | 1 | no | — |
| 794 | C2×C3⋊D3 | — | 9 | 2 | no | — |
| 795 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 796 | C2×C3⋊D3 | — | 18 | 2 | no | — |
| 797 | C2×C3⋊D3 | — | 288 | 2 | no | — |
| 798 | C2×C3⋊D3 | — | 36 | 2 | no | — |
| 799 | C2×C3⋊D3 | — | 48 | 2 | no | — |
| 800 | C2×C3⋊D3 | — | 144 | 2 | no | — |
| 801 | C2×C3⋊D3 | — | 144 | 1 | no | — |
| 802 | C2×C3⋊D3 | — | 144 | 1 | no | — |
| 803 | C2×C3×D3 | — | 288 | 2 | no | — |
| 804 | C2×C3×D3 | — | 36 | 2 | no | — |
| 805 | C2×C3×D3 | — | 48 | 2 | no | — |
| 806 | C2×C3×D3 | — | 48 | 2 | no | — |
| 807 | C2×C3×D3 | — | 48 | 2 | no | — |
| 808 | C2×C3×D3 | — | 72 | 2 | no | — |
| 809 | C2×C3×D3 | — | 96 | 2 | no | — |
| 810 | C2×C3×D3 | — | 144 | 2 | no | — |
| 811 | C2×C3×D3 | — | 144 | 2 | no | — |
| 812 | C2×C3×D3 | — | 144 | 2 | no | — |
| 813 | C2×C3×D3 | — | 144 | 2 | no | — |
| 814 | C2×C3×D3 | — | 144 | 2 | no | — |
| 815 | D32 | — | 2 | 2 | no | — |
| 816 | D32 | — | 16 | 1 | no | — |
| 817 | D32 | — | 18 | 2 | no | — |
| 818 | D32 | — | 24 | 2 | no | — |
| 819 | D32 | — | 288 | 2 | no | — |
| 820 | D32 | — | 288 | 2 | no | — |
| 821 | D32 | — | 288 | 2 | no | — |
| 822 | D32 | — | 288 | 1 | no | — |
| 823 | D32 | — | 36 | 2 | no | — |
| 824 | D32 | — | 48 | 2 | no | — |
| 825 | D32 | — | 48 | 2 | no | — |
| 826 | D32 | — | 48 | 2 | no | — |
| 827 | D32 | — | 48 | 2 | no | — |
| 828 | D32 | — | 72 | 2 | no | — |
| 829 | D32 | — | 96 | 2 | no | — |
| 830 | D32 | — | 144 | 1 | no | — |
| 831 | D32 | — | 144 | 2 | no | — |
| 832 | D32 | — | 144 | 2 | no | — |
| 833 | D32 | — | 144 | 2 | no | — |
| 834 | D32 | — | 144 | 1 | no | — |
| 835 | D32 | — | 144 | 2 | no | — |
| 836 | D32 | — | 144 | 1 | no | — |
| 837 | #157 | — | 2 | 2 | no | — |
| 838 | #157 | — | 9 | 2 | no | — |
| 839 | #157 | — | 12 | 2 | no | — |
| 840 | #157 | — | 18 | 2 | no | — |
| 841 | #157 | — | 18 | 2 | no | — |
| 842 | #157 | — | 24 | 2 | no | — |
| 843 | #157 | — | 288 | 2 | no | — |
| 844 | #157 | — | 288 | 1 | no | — |
| 845 | #157 | — | 288 | 1 | no | — |
| 846 | #157 | — | 36 | 2 | no | — |
| 847 | #157 | — | 36 | 2 | no | — |
| 848 | #157 | — | 72 | 2 | no | — |
| 849 | #157 | — | 144 | 1 | no | — |
| 850 | #157 | C22×AΓL(1,𝔽9) | 1 | 2 | yes | — |
| 851 | C32×C4 | — | 9 | 2 | no | — |
| 852 | C32×C4 | — | 18 | 2 | no | — |
| 853 | C3⋊Dic3 | — | 9 | 2 | no | — |
| 854 | C3⋊Dic3 | — | 18 | 2 | no | — |
| 855 | C3×Dic3 | — | 36 | 2 | no | — |
| 856 | C3×Dic3 | — | 72 | 2 | no | — |
| 857 | C22×Q8 | — | 162 | 2 | no | — |
| 858 | C22×D4 | — | 162 | 2 | no | — |
| 859 | C2×SD16 | — | 324 | 2 | no | — |
| 860 | C2×SD16 | — | 324 | 2 | no | — |
| 861 | C2×SD16 | — | 324 | 2 | no | — |
| 862 | C2×SD16 | — | 324 | 1 | no | — |
| 863 | C2×SD16 | — | 81 | 2 | no | — |
| 864 | C2×SD16 | — | 108 | 2 | no | — |
| 865 | C2×SD16 | — | 162 | 2 | no | — |
| 866 | C2×SD16 | — | 162 | 2 | no | — |
| 867 | C2×SD16 | — | 162 | 2 | no | — |
| 868 | C2×SD16 | — | 162 | 2 | no | — |
| 869 | C22×C8 | — | 162 | 2 | no | — |
| 870 | C4⋊Q8 | — | 324 | 1 | no | — |
| 871 | C4⋊Q8 | — | 81 | 2 | no | — |
| 872 | C4⋊Q8 | — | 81 | 1 | no | — |
| 873 | C4⋊Q8 | — | 162 | 2 | no | — |
| 874 | C4⋊Q8 | — | 162 | 2 | no | — |
| 875 | #127 | — | 81 | 1 | no | — |
| 876 | C22⋊Q8 | — | 324 | 2 | no | — |
| 877 | C22⋊Q8 | — | 162 | 2 | no | — |
| 878 | #121 | — | 162 | 2 | no | — |
| 879 | #120 | — | 324 | 1 | no | — |
| 880 | C4×Q8 | — | 81 | 2 | no | — |
| 881 | C4×Q8 | — | 162 | 2 | no | — |
| 882 | C4×D4 | — | 81 | 2 | no | — |
| 883 | C4×D4 | — | 162 | 2 | no | — |
| 884 | #106 | — | 324 | 1 | no | — |
| 885 | #106 | — | 81 | 2 | no | — |
| 886 | #106 | — | 162 | 2 | no | — |
| 887 | #106 | — | 162 | 2 | no | — |
| 888 | #106 | — | 162 | 2 | no | — |
| 889 | #106 | — | 162 | 2 | no | — |
| 890 | C4⋊C8 | — | 81 | 2 | no | — |
| 891 | C4⋊C8 | — | 81 | 2 | no | — |
| 892 | C4⋊C8 | — | 162 | 2 | no | — |
| 893 | #103 | — | 81 | 2 | no | — |
| 894 | #103 | — | 162 | 2 | no | — |
| 895 | #103 | — | 162 | 2 | no | — |
| 896 | #102 | — | 81 | 2 | no | — |
| 897 | #102 | — | 162 | 2 | no | — |
| 898 | #102 | — | 162 | 2 | no | — |
| 899 | C22⋊C8 | — | 162 | 2 | no | — |
| 900 | C4×C8 | — | 81 | 2 | no | — |
| 901 | C4×C8 | — | 81 | 1 | no | — |
| 902 | C4×C8 | — | 162 | 2 | no | — |
| 903 | C33 | — | 4 | 2 | no | — |
| 904 | C33 | — | 32 | 1 | no | — |
| 905 | C23×C3 | — | 216 | 2 | no | — |
| 906 | C22×D3 | — | 72 | 2 | no | — |
| 907 | C22×D3 | — | 864 | 1 | no | — |
| 908 | C22×D3 | — | 108 | 2 | no | — |
| 909 | C22×D3 | — | 144 | 2 | no | — |
| 910 | C22×D3 | — | 432 | 2 | no | — |
| 911 | C22×D3 | — | 432 | 2 | no | — |
| 912 | C22×D3 | — | 432 | 2 | no | — |
| 913 | C22×D3 | — | 216 | 2 | no | — |
| 914 | C22×D3 | — | 216 | 2 | no | — |
| 915 | C22×D3 | — | 216 | 2 | no | — |
| 916 | C22×D3 | — | 216 | 2 | no | — |
| 917 | C3×Q8 | — | 36 | 2 | no | — |
| 918 | C3×Q8 | — | 108 | 2 | no | — |
| 919 | C3×Q8 | — | 216 | 2 | no | — |
| 920 | C3×D4 | — | 36 | 2 | no | — |
| 921 | C3×D4 | — | 108 | 2 | no | — |
| 922 | C3×D4 | — | 216 | 2 | no | — |
| 923 | C2×C3×C4 | — | 108 | 2 | no | — |
| 924 | C2×C3×C4 | — | 216 | 2 | no | — |
| 925 | #67 | — | 72 | 2 | no | — |
| 926 | #67 | — | 216 | 2 | no | — |
| 927 | #67 | — | 216 | 2 | no | — |
| 928 | #67 | — | 216 | 2 | no | — |
| 929 | C2×Dic3 | — | 108 | 2 | no | — |
| 930 | C2×Dic3 | — | 216 | 2 | no | — |
| 931 | D12 | — | 36 | 2 | no | — |
| 932 | D12 | — | 108 | 2 | no | — |
| 933 | D12 | — | 216 | 2 | no | — |
| 934 | C4×D3 | — | 36 | 2 | no | — |
| 935 | C4×D3 | — | 72 | 2 | no | — |
| 936 | C4×D3 | — | 108 | 2 | no | — |
| 937 | C4×D3 | — | 108 | 2 | no | — |
| 938 | C4×D3 | — | 108 | 2 | no | — |
| 939 | C4×D3 | — | 216 | 2 | no | — |
| 940 | C4×D3 | — | 216 | 2 | no | — |
| 941 | C4×D3 | — | 216 | 2 | no | — |
| 942 | Dic6 | — | 36 | 2 | no | — |
| 943 | Dic6 | — | 72 | 2 | no | — |
| 944 | Dic6 | — | 108 | 2 | no | — |
| 945 | Dic6 | — | 216 | 2 | no | — |
| 946 | Dic6 | — | 216 | 2 | no | — |
| 947 | Dic6 | — | 216 | 2 | no | — |
| 948 | Dic6 | — | 216 | 2 | no | — |
| 949 | C3×C8 | — | 36 | 2 | no | — |
| 950 | C3×C8 | — | 108 | 2 | no | — |
| 951 | C3⋊C8 | — | 36 | 2 | no | — |
| 952 | C3⋊C8 | — | 108 | 2 | no | — |
| 953 | C2×C32 | — | 9 | 2 | no | — |
| 954 | C2×C32 | — | 12 | 2 | no | — |
| 955 | C2×C32 | — | 48 | 2 | no | — |
| 956 | C2×C32 | — | 96 | 2 | no | — |
| 957 | C2×C32 | — | 144 | 1 | no | — |
| 958 | C3⋊D3 | — | 9 | 2 | no | — |
| 959 | C3⋊D3 | — | 12 | 2 | no | — |
| 960 | C3⋊D3 | — | 16 | 1 | no | — |
| 961 | C3⋊D3 | — | 288 | 2 | no | — |
| 962 | C3⋊D3 | — | 288 | 1 | no | — |
| 963 | C3⋊D3 | — | 48 | 2 | no | — |
| 964 | C3⋊D3 | — | 96 | 2 | no | — |
| 965 | C3⋊D3 | — | 144 | 1 | no | — |
| 966 | C3⋊D3 | — | 144 | 1 | no | — |
| 967 | C3⋊D3 | D4×AΓL(1,𝔽9) | 1 | 2 | yes | — |
| 968 | C3×D3 | — | 4 | 2 | no | — |
| 969 | C3×D3 | — | 16 | 2 | no | — |
| 970 | C3×D3 | — | 32 | 2 | no | — |
| 971 | C3×D3 | — | 288 | 2 | no | — |
| 972 | C3×D3 | — | 36 | 2 | no | — |
| 973 | C3×D3 | — | 48 | 2 | no | — |
| 974 | C3×D3 | — | 48 | 2 | no | — |
| 975 | C3×D3 | — | 48 | 2 | no | — |
| 976 | C3×D3 | — | 96 | 2 | no | — |
| 977 | C3×D3 | — | 96 | 2 | no | — |
| 978 | C3×D3 | — | 144 | 2 | no | — |
| 979 | C3×D3 | — | 192 | 1 | no | — |
| 980 | C24 | — | 324 | 1 | no | — |
| 981 | C2×Q8 | — | 324 | 1 | no | — |
| 982 | C2×Q8 | — | 324 | 2 | no | — |
| 983 | C2×Q8 | — | 324 | 2 | no | — |
| 984 | C2×Q8 | — | 81 | 2 | no | — |
| 985 | C2×Q8 | — | 108 | 2 | no | — |
| 986 | C2×Q8 | — | 648 | 2 | no | — |
| 987 | C2×Q8 | — | 162 | 2 | no | — |
| 988 | C2×Q8 | — | 162 | 1 | no | — |
| 989 | C2×D4 | — | 324 | 2 | no | — |
| 990 | C2×D4 | — | 324 | 2 | no | — |
| 991 | C2×D4 | — | 81 | 2 | no | — |
| 992 | C2×D4 | — | 108 | 2 | no | — |
| 993 | C2×D4 | — | 648 | 2 | no | — |
| 994 | C2×D4 | — | 162 | 2 | no | — |
| 995 | C2×D4 | — | 162 | 1 | no | — |
| 996 | C22×C4 | — | 324 | 2 | no | — |
| 997 | C22×C4 | — | 162 | 2 | no | — |
| 998 | SD16 | — | 9 | 2 | no | — |
| 999 | SD16 | — | 324 | 2 | no | — |
| 1000 | SD16 | — | 324 | 2 | no | — |
| 1001 | SD16 | — | 324 | 2 | no | — |
| 1002 | SD16 | — | 81 | 2 | no | — |
| 1003 | SD16 | — | 81 | 2 | no | — |
| 1004 | SD16 | — | 81 | 2 | no | — |
| 1005 | SD16 | — | 108 | 2 | no | — |
| 1006 | SD16 | — | 108 | 2 | no | — |
| 1007 | SD16 | — | 108 | 2 | no | — |
| 1008 | SD16 | — | 648 | 2 | no | — |
| 1009 | SD16 | — | 648 | 1 | no | — |
| 1010 | SD16 | — | 648 | 1 | no | — |
| 1011 | C2×C8 | — | 324 | 2 | no | — |
| 1012 | C2×C8 | — | 81 | 2 | no | — |
| 1013 | C2×C8 | — | 81 | 2 | no | — |
| 1014 | C2×C8 | — | 108 | 2 | no | — |
| 1015 | C2×C8 | — | 162 | 2 | no | — |
| 1016 | C2×C8 | — | 162 | 2 | no | — |
| 1017 | C2×C8 | — | 162 | 1 | no | — |
| 1018 | C4⋊C4 | — | 324 | 2 | no | — |
| 1019 | C4⋊C4 | — | 324 | 2 | no | — |
| 1020 | C4⋊C4 | — | 81 | 2 | no | — |
| 1021 | C4⋊C4 | — | 81 | 2 | no | — |
| 1022 | C4⋊C4 | — | 162 | 2 | no | — |
| 1023 | C4⋊C4 | — | 162 | 2 | no | — |
| 1024 | C4⋊C4 | — | 162 | 2 | no | — |
| 1025 | C4⋊C4 | — | 162 | 2 | no | — |
| 1026 | C22⋊C4 | — | 324 | 2 | no | — |
| 1027 | C22⋊C4 | — | 324 | 1 | no | — |
| 1028 | C22⋊C4 | — | 162 | 2 | no | — |
| 1029 | C42 | — | 324 | 1 | no | — |
| 1030 | C42 | — | 81 | 1 | no | — |
| 1031 | C42 | — | 162 | 2 | no | — |
| 1032 | C22×C3 | — | 288 | 1 | no | — |
| 1033 | C22×C3 | — | 72 | 2 | no | — |
| 1034 | C22×C3 | — | 108 | 2 | no | — |
| 1035 | C22×C3 | — | 144 | 2 | no | — |
| 1036 | C22×C3 | — | 432 | 2 | no | — |
| 1037 | C22×C3 | — | 216 | 2 | no | — |
| 1038 | C2×D3 | — | 12 | 2 | no | — |
| 1039 | C2×D3 | — | 288 | 2 | no | — |
| 1040 | C2×D3 | — | 36 | 2 | no | — |
| 1041 | C2×D3 | — | 48 | 2 | no | — |
| 1042 | C2×D3 | — | 72 | 2 | no | — |
| 1043 | C2×D3 | — | 864 | 1 | no | — |
| 1044 | C2×D3 | — | 864 | 2 | no | — |
| 1045 | C2×D3 | — | 864 | 1 | no | — |
| 1046 | C2×D3 | — | 108 | 2 | no | — |
| 1047 | C2×D3 | — | 108 | 2 | no | — |
| 1048 | C2×D3 | — | 108 | 2 | no | — |
| 1049 | C2×D3 | — | 108 | 2 | no | — |
| 1050 | C2×D3 | — | 144 | 2 | no | — |
| 1051 | C2×D3 | — | 144 | 2 | no | — |
| 1052 | C2×D3 | — | 144 | 2 | no | — |
| 1053 | C2×D3 | — | 144 | 2 | no | — |
| 1054 | C2×D3 | — | 144 | 2 | no | — |
| 1055 | C2×D3 | — | 432 | 2 | no | — |
| 1056 | C2×D3 | — | 432 | 2 | no | — |
| 1057 | C2×D3 | — | 432 | 2 | no | — |
| 1058 | C2×D3 | — | 432 | 2 | no | — |
| 1059 | C2×D3 | — | 216 | 2 | no | — |
| 1060 | C3×C4 | — | 36 | 2 | no | — |
| 1061 | C3×C4 | — | 72 | 2 | no | — |
| 1062 | C3×C4 | — | 108 | 2 | no | — |
| 1063 | C3×C4 | — | 216 | 2 | no | — |
| 1064 | Dic3 | — | 36 | 2 | no | — |
| 1065 | Dic3 | — | 72 | 2 | no | — |
| 1066 | Dic3 | — | 108 | 2 | no | — |
| 1067 | Dic3 | — | 216 | 2 | no | — |
| 1068 | C32 | — | 16 | 1 | no | — |
| 1069 | C32 | — | 16 | 1 | no | — |
| 1070 | C32 | — | 32 | 2 | no | — |
| 1071 | C32 | — | 32 | 1 | no | — |
| 1072 | C32 | SD16×AΓL(1,𝔽9) | 1 | 2 | yes | complemented |
| 1073 | C23 | — | 1296 | 1 | no | — |
| 1074 | C23 | — | 324 | 1 | no | — |
| 1075 | C23 | — | 648 | 2 | no | — |
| 1076 | C23 | — | 162 | 2 | no | — |
| 1077 | C23 | — | 216 | 2 | no | — |
| 1078 | Q8 | — | 9 | 2 | no | — |
| 1079 | Q8 | — | 1296 | 1 | no | — |
| 1080 | Q8 | — | 324 | 2 | no | — |
| 1081 | Q8 | — | 81 | 2 | no | — |
| 1082 | Q8 | — | 108 | 2 | no | — |
| 1083 | Q8 | — | 648 | 2 | no | — |
| 1084 | Q8 | — | 648 | 1 | no | — |
| 1085 | Q8 | — | 162 | 2 | no | — |
| 1086 | Q8 | — | 216 | 2 | no | — |
| 1087 | D4 | — | 9 | 2 | no | — |
| 1088 | D4 | — | 324 | 2 | no | — |
| 1089 | D4 | — | 81 | 2 | no | — |
| 1090 | D4 | — | 108 | 2 | no | — |
| 1091 | D4 | — | 648 | 2 | no | — |
| 1092 | D4 | — | 648 | 1 | no | — |
| 1093 | D4 | — | 162 | 2 | no | — |
| 1094 | D4 | — | 216 | 2 | no | — |
| 1095 | C2×C4 | — | 324 | 2 | no | — |
| 1096 | C2×C4 | — | 324 | 1 | no | — |
| 1097 | C2×C4 | — | 324 | 2 | no | — |
| 1098 | C2×C4 | — | 81 | 2 | no | — |
| 1099 | C2×C4 | — | 81 | 1 | no | — |
| 1100 | C2×C4 | — | 108 | 2 | no | — |
| 1101 | C2×C4 | — | 648 | 2 | no | — |
| 1102 | C2×C4 | — | 162 | 2 | no | — |
| 1103 | C2×C4 | — | 162 | 2 | no | — |
| 1104 | C2×C4 | — | 162 | 2 | no | — |
| 1105 | C2×C4 | — | 216 | 2 | no | — |
| 1106 | C8 | — | 9 | 2 | no | — |
| 1107 | C8 | — | 324 | 2 | no | — |
| 1108 | C8 | — | 81 | 2 | no | — |
| 1109 | C8 | — | 108 | 2 | no | — |
| 1110 | C8 | — | 162 | 2 | no | — |
| 1111 | C8 | — | 162 | 1 | no | — |
| 1112 | C8 | — | 162 | 1 | no | — |
| 1113 | C2×C3 | — | 12 | 2 | no | — |
| 1114 | C2×C3 | — | 288 | 1 | no | — |
| 1115 | C2×C3 | — | 36 | 2 | no | — |
| 1116 | C2×C3 | — | 48 | 2 | no | — |
| 1117 | C2×C3 | — | 96 | 2 | no | — |
| 1118 | C2×C3 | — | 108 | 2 | no | — |
| 1119 | C2×C3 | — | 144 | 2 | no | — |
| 1120 | D3 | — | 4 | 2 | no | — |
| 1121 | D3 | — | 12 | 2 | no | — |
| 1122 | D3 | — | 288 | 2 | no | — |
| 1123 | D3 | — | 36 | 2 | no | — |
| 1124 | D3 | — | 48 | 2 | no | — |
| 1125 | D3 | — | 96 | 1 | no | — |
| 1126 | D3 | — | 864 | 1 | no | — |
| 1127 | D3 | — | 108 | 2 | no | — |
| 1128 | D3 | — | 144 | 2 | no | — |
| 1129 | C22 | — | 1296 | 1 | no | — |
| 1130 | C22 | — | 18 | 2 | no | — |
| 1131 | C22 | — | 324 | 2 | no | — |
| 1132 | C22 | — | 81 | 1 | no | — |
| 1133 | C22 | — | 108 | 2 | no | — |
| 1134 | C22 | — | 648 | 1 | no | — |
| 1135 | C22 | — | 144 | 1 | no | — |
| 1136 | C22 | — | 162 | 2 | no | — |
| 1137 | C22 | — | 432 | 2 | no | — |
| 1138 | C22 | — | 216 | 2 | no | — |
| 1139 | C4 | — | 9 | 2 | no | — |
| 1140 | C4 | — | 18 | 2 | no | — |
| 1141 | C4 | — | 324 | 2 | no | — |
| 1142 | C4 | — | 81 | 2 | no | — |
| 1143 | C4 | — | 108 | 2 | no | — |
| 1144 | C4 | — | 648 | 1 | no | — |
| 1145 | C4 | — | 162 | 2 | no | — |
| 1146 | C4 | — | 162 | 1 | no | — |
| 1147 | C4 | — | 216 | 2 | no | — |
| 1148 | C3 | — | 4 | 2 | no | — |
| 1149 | C3 | — | 32 | 1 | no | — |
| 1150 | C2 | — | 9 | 2 | no | — |
| 1151 | C2 | — | 12 | 2 | no | — |
| 1152 | C2 | — | 81 | 1 | no | — |
| 1153 | C2 | — | 108 | 2 | no | — |
| 1154 | C2 | — | 144 | 1 | no | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, cosocle | #1572 | C24 |
| Fitting, socle, hypocenter | C34 | SD162 |
| prime radical | GO+(4,𝔽2)2 | C22 |
| LCS | G ▷ #1572 ▷ C3⋊D32 ▷ C34 | |
| UCS | C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72269063 | C2 | semidirect |
| 2. #72252918 | C2 | semidirect |
| 3. PSU(3,𝔽2)×AΓL(1,𝔽9) | C2 | semidirect |
| 8. #72252880 | C2 | semidirect |
| 9. #72252876 | C22 | semidirect |
| 14. #72252854 | C22 | semidirect |
| 17. AGL(1,𝔽9)×AΓL(1,𝔽9) | C2 | semidirect |
| 18. AGL(1,𝔽9)×PSU(3,𝔽2) | C22 | semidirect |
| 21. #72252837 | C22 | semidirect |
| 26. #72220490 | C2 | semidirect |
| 27. #72220489 | C22 | semidirect |
| 28. #72220488 | C22 | semidirect |
| 32. PSU(3,𝔽2)2 | C22 | semidirect |
| 48. #72220433 | C2 | semidirect |
| 49. #72220431 | C22 | semidirect |
| 52. #72220429 | C22 | semidirect |
| 60. AGL(1,𝔽9)2 | C22 | semidirect |
| 108. AGL(1,𝔽9)⋊(C3⋊D3) | SD16 | semidirect |
| 110. #13049799 | SD16 | semidirect |
| 113. #13049796 | SD16 | semidirect |
| 117. C32×AΓL(1,𝔽9) | SD16 | semidirect |
| 179. #10620209 | C2×SD16 | semidirect |
| 182. C32×PSU(3,𝔽2) | C2×SD16 | semidirect |
| 206. C3⋊(C3⋊AGL(1,𝔽9)) | C2×SD16 | semidirect |
| 208. C32×AGL(1,𝔽9) | C2×SD16 | semidirect |
| 501. AΓL(1,𝔽9) | AΓL(1,𝔽9) | direct (N × H) |
| 618. C34 | SD162 | semidirect |
| 659. PSU(3,𝔽2) | C2×AΓL(1,𝔽9) | semidirect |
| 676. AGL(1,𝔽9) | C2×AΓL(1,𝔽9) | semidirect |
| 1072. C32 | SD16×AΓL(1,𝔽9) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72269063 | 2 |
| #72252918 | 2 |
| PSU(3,𝔽2)×AΓL(1,𝔽9) | 2 |
| GO+(4,𝔽2)×AΓL(1,𝔽9) | 2 |
| #72252880 | 2 |
| AGL(1,𝔽9)×AΓL(1,𝔽9) | 2 |
| #72220490 | 2 |
| #72220466 | 2 |
| #72220433 | 2 |
| SD16×AΓL(1,𝔽9) | 9 |