Finite Group DatabasebetaFinite Group DatabasebetaOrder 13568.
1714 conjugacy classes of subgroups.
The subgroup lattice has 1138 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#16811422 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #20288388 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#16810796 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20283956 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20278340 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20275760 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20275758 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20275751 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20275739 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20275180 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20275089 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20275086 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20275014 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20274657 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×C53×#456 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C22×#11719949 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#41×D53 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16811422 | — | 2 | 4 | no | — |
| 19 | #16811422 | — | 2 | 4 | no | — |
| 20 | C2×#13133249 | — | 2 | 1 | no | — |
| 21 | C2×#13133248 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#13133245 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#13133244 | — | 2 | 1 | no | — |
| 24 | C2×#13133242 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#13133242 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#13133240 | — | 2 | 1 | no | — |
| 27 | C2×#13133238 | — | 2 | 1 | no | — |
| 28 | C2×M16×D53 | C22 | 1 | 1 | yes | characteristic |
| 29 | Q8×C22⋊D53 | — | 2 | 1 | no | — |
| 30 | #16811284 | — | 2 | 1 | no | — |
| 31 | #16811272 | — | 2 | 1 | no | — |
| 32 | #16811272 | — | 2 | 2 | no | — |
| 33 | #16811261 | — | 2 | 1 | no | — |
| 34 | #16811261 | — | 2 | 2 | no | — |
| 35 | #16811201 | — | 2 | 1 | no | — |
| 36 | #16811201 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16811197 | — | 2 | 1 | no | — |
| 38 | #16811197 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#13133206 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #16811130 | — | 2 | 1 | no | — |
| 41 | #16811130 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#13133193 | — | 2 | 1 | no | — |
| 43 | C2×#13133193 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16811106 | C22 | 1 | 1 | yes | characteristic |
| 45 | #16810796 | — | 2 | 4 | no | — |
| 46 | #16810784 | — | 2 | 1 | no | — |
| 47 | #16810784 | — | 2 | 1 | no | — |
| 48 | #16810767 | — | 2 | 1 | no | — |
| 49 | #16810767 | — | 2 | 1 | no | — |
| 50 | C2×#13133145 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#13133144 | C22 | 1 | 1 | yes | characteristic |
| 52 | C2×#13133144 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#13133143 | C22 | 1 | 1 | yes | characteristic |
| 54 | #16810632 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #16810629 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C2×#13133136 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #16810586 | C22 | 1 | 1 | yes | characteristic |
| 58 | #16810540 | — | 2 | 2 | no | — |
| 59 | #16810530 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #16810525 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #16810494 | — | 2 | 2 | no | — |
| 62 | C4×#11719921 | C22 | 1 | 1 | yes | characteristic |
| 63 | #16810391 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #16810391 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #16810384 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #16810383 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | C2×2−1+4×C53 | C22 | 1 | 1 | yes | characteristic |
| 68 | C2×#137×C53 | C22 | 1 | 1 | yes | characteristic |
| 69 | C2×#137×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | C2×C4⋊Q8×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | C53×#456 | — | 2 | 4 | no | — |
| 72 | C2×#104×C53 | C22 | 1 | 1 | yes | characteristic |
| 73 | C2×#104×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | C2×#101×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 75 | C2×#11719949 | — | 2 | 2 | no | — |
| 76 | C2×#11719949 | — | 2 | 2 | no | — |
| 77 | C2×#11719949 | — | 2 | 1 | no | — |
| 78 | C2×#11719949 | — | 2 | 1 | no | — |
| 79 | C2×#11719949 | — | 2 | 1 | no | — |
| 80 | C2×#11719949 | — | 2 | 1 | no | — |
| 81 | C2×#11719949 | — | 4 | 1 | no | — |
| 82 | C2×#11719949 | — | 4 | 1 | no | — |
| 83 | C2×#11719949 | D4 | 1 | 1 | yes | characteristic |
| 84 | C2×#11719945 | — | 2 | 1 | no | — |
| 85 | C2×#11719945 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#11719947 | — | 2 | 1 | no | — |
| 87 | C2×#11719947 | D4 | 1 | 1 | yes | characteristic |
| 88 | #41×D53 | — | 2 | 2 | no | — |
| 89 | #41×D53 | — | 2 | 2 | no | — |
| 90 | #41×D53 | — | 4 | 1 | no | — |
| 91 | #41×D53 | — | 4 | 1 | no | — |
| 92 | C2×Q8×D53 | D4 | 1 | 1 | yes | characteristic |
| 93 | C22×D212 | — | 2 | 1 | no | — |
| 94 | C22×D212 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×D4×D53 | — | 2 | 1 | no | — |
| 96 | C2×D4×D53 | D4 | 1 | 1 | yes | characteristic |
| 97 | C22×C4×D53 | — | 2 | 1 | no | — |
| 98 | C22×C4×D53 | — | 2 | 1 | no | — |
| 99 | C22×C4×D53 | C23 | 1 | 1 | yes | characteristic |
| 100 | #13133249 | — | 2 | 8 | no | — |
| 101 | #13133248 | — | 2 | 2 | no | — |
| 102 | #13133248 | — | 2 | 2 | no | — |
| 103 | #13133245 | — | 2 | 2 | no | — |
| 104 | #13133245 | — | 2 | 2 | no | — |
| 105 | #13133244 | — | 2 | 8 | no | — |
| 106 | #13133242 | — | 2 | 2 | no | — |
| 107 | #13133242 | — | 2 | 2 | no | — |
| 108 | #13133242 | — | 4 | 1 | no | — |
| 109 | #13133242 | D4 | 1 | 4 | yes | complemented |
| 110 | #13133240 | — | 2 | 8 | no | — |
| 111 | #13133238 | — | 2 | 8 | no | — |
| 112 | C2×#11719925 | — | 2 | 1 | no | — |
| 113 | C2×#11719913 | — | 2 | 1 | no | — |
| 114 | C2×#11719924 | — | 2 | 1 | no | — |
| 115 | C2×#11719924 | — | 2 | 1 | no | — |
| 116 | C2×#11719924 | — | 2 | 1 | no | — |
| 117 | C2×D424 | — | 2 | 1 | no | — |
| 118 | C2×#11719922 | — | 2 | 1 | no | — |
| 119 | C2×#11719922 | — | 2 | 1 | no | — |
| 120 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×#11719912 | — | 2 | 1 | no | — |
| 123 | M16×D53 | — | 2 | 2 | no | — |
| 124 | M16×D53 | — | 2 | 2 | no | — |
| 125 | C2×C8×D53 | — | 2 | 1 | no | — |
| 126 | #13133215 | — | 2 | 2 | no | — |
| 127 | #13133215 | — | 2 | 1 | no | — |
| 128 | #13133206 | — | 2 | 2 | no | — |
| 129 | #13133206 | — | 2 | 1 | no | — |
| 130 | #13133206 | — | 2 | 2 | no | — |
| 131 | #13133206 | — | 4 | 1 | no | — |
| 132 | #13133200 | — | 2 | 2 | no | — |
| 133 | #13133200 | — | 2 | 2 | no | — |
| 134 | #13133200 | — | 2 | 2 | no | — |
| 135 | #13133198 | — | 2 | 2 | no | — |
| 136 | #13133198 | — | 2 | 1 | no | — |
| 137 | #13133196 | — | 2 | 2 | no | — |
| 138 | #13133196 | — | 2 | 1 | no | — |
| 139 | #13133193 | — | 2 | 2 | no | — |
| 140 | #13133193 | — | 2 | 2 | no | — |
| 141 | #13133193 | — | 2 | 1 | no | — |
| 142 | #13133193 | — | 2 | 1 | no | — |
| 143 | #13133193 | — | 2 | 1 | no | — |
| 144 | #13133193 | — | 2 | 1 | no | — |
| 145 | #13133193 | — | 2 | 1 | no | — |
| 146 | #13133193 | — | 2 | 1 | no | — |
| 147 | #13133193 | — | 2 | 1 | no | — |
| 148 | #13133193 | D4 | 1 | 1 | yes | characteristic |
| 149 | #13133193 | D4 | 1 | 1 | yes | characteristic |
| 150 | #13133191 | — | 2 | 2 | no | — |
| 151 | #13133191 | — | 2 | 1 | no | — |
| 152 | #13133189 | — | 2 | 2 | no | — |
| 153 | #13133189 | — | 2 | 2 | no | — |
| 154 | #13133189 | — | 2 | 2 | no | — |
| 155 | #13133188 | — | 2 | 1 | no | — |
| 156 | #13133188 | D4 | 1 | 1 | yes | characteristic |
| 157 | #13133188 | D4 | 1 | 1 | yes | characteristic |
| 158 | #13133185 | — | 2 | 2 | no | — |
| 159 | #13133185 | — | 2 | 1 | no | — |
| 160 | Q8×Dic53 | — | 2 | 1 | no | — |
| 161 | D4×Dic53 | — | 2 | 1 | no | — |
| 162 | D4×Dic53 | — | 2 | 2 | no | — |
| 163 | C4×C22⋊D53 | — | 2 | 2 | no | — |
| 164 | C4×C22⋊D53 | — | 2 | 2 | no | — |
| 165 | C4×C22⋊D53 | — | 2 | 1 | no | — |
| 166 | C4×C22⋊D53 | — | 2 | 1 | no | — |
| 167 | #13133176 | — | 2 | 1 | no | — |
| 168 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 169 | C2×C4⋊Dic53 | — | 2 | 1 | no | — |
| 170 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 171 | C2×#11719919 | — | 2 | 2 | no | — |
| 172 | C2×#11719919 | D4 | 1 | 2 | yes | — |
| 173 | C2×#11719921 | — | 2 | 2 | no | — |
| 174 | C2×#11719921 | — | 2 | 1 | no | — |
| 175 | C2×#11719921 | — | 2 | 2 | no | — |
| 176 | C2×#11719921 | — | 2 | 2 | no | — |
| 177 | C2×#11719921 | D4 | 1 | 2 | yes | — |
| 178 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 179 | #13133145 | — | 4 | 1 | no | — |
| 180 | #13133144 | — | 2 | 2 | no | — |
| 181 | #13133144 | — | 2 | 2 | no | — |
| 182 | #13133143 | — | 4 | 1 | no | — |
| 183 | #13133141 | — | 2 | 1 | no | — |
| 184 | #13133141 | — | 2 | 1 | no | — |
| 185 | #13133139 | — | 2 | 1 | no | — |
| 186 | #13133139 | — | 2 | 1 | no | — |
| 187 | #13133136 | — | 2 | 2 | no | — |
| 188 | #13133129 | — | 2 | 1 | no | — |
| 189 | #13133129 | — | 2 | 1 | no | — |
| 190 | #13133124 | — | 2 | 2 | no | — |
| 191 | #13133124 | — | 2 | 1 | no | — |
| 192 | 2−1+4×C53 | — | 2 | 2 | no | — |
| 193 | 2−1+4×C53 | — | 2 | 2 | no | — |
| 194 | 2−1+4×C53 | — | 4 | 1 | no | — |
| 195 | 2−1+4×C53 | — | 4 | 1 | no | — |
| 196 | C2×#41×C53 | — | 2 | 1 | no | — |
| 197 | C2×#41×C53 | — | 2 | 1 | no | — |
| 198 | C2×#41×C53 | — | 2 | 2 | no | — |
| 199 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 200 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 201 | C22×Q8×C53 | — | 2 | 1 | no | — |
| 202 | C22×Q8×C53 | — | 2 | 1 | no | — |
| 203 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 204 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 205 | #137×C53 | — | 2 | 2 | no | — |
| 206 | #137×C53 | — | 2 | 2 | no | — |
| 207 | #137×C53 | — | 4 | 1 | no | — |
| 208 | #137×C53 | D4 | 1 | 4 | yes | complemented |
| 209 | C2×Q16×C53 | — | 2 | 1 | no | — |
| 210 | C2×Q16×C53 | — | 2 | 1 | no | — |
| 211 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 212 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 213 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 214 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 215 | C4⋊Q8×C53 | — | 2 | 2 | no | — |
| 216 | C4⋊Q8×C53 | — | 4 | 1 | no | — |
| 217 | C2×C4⋊C4×C53 | — | 2 | 2 | no | — |
| 218 | C2×C42×C53 | C23 | 1 | 1 | yes | characteristic |
| 219 | #104×C53 | — | 2 | 2 | no | — |
| 220 | #104×C53 | — | 2 | 2 | no | — |
| 221 | #101×C53 | — | 2 | 2 | no | — |
| 222 | C23×D53 | — | 2 | 1 | no | — |
| 223 | C23×D53 | — | 2 | 1 | no | — |
| 224 | C23×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | #41×C53 | — | 2 | 1 | no | — |
| 226 | #41×C53 | — | 2 | 1 | no | — |
| 227 | #41×C53 | — | 2 | 1 | no | — |
| 228 | #41×C53 | — | 2 | 1 | no | — |
| 229 | #41×C53 | — | 2 | 1 | no | — |
| 230 | #41×C53 | — | 2 | 1 | no | — |
| 231 | #41×C53 | — | 4 | 2 | no | — |
| 232 | #41×C53 | — | 4 | 2 | no | — |
| 233 | #41×C53 | — | 4 | 4 | no | — |
| 234 | #41×C53 | — | 4 | 4 | no | — |
| 235 | #41×C53 | — | 4 | 2 | no | — |
| 236 | #41×C53 | — | 4 | 2 | no | — |
| 237 | #41×C53 | C2×D4 | 1 | 2 | yes | — |
| 238 | #41×C53 | C2×D4 | 1 | 2 | yes | — |
| 239 | C2×Q8×C53 | — | 2 | 2 | no | — |
| 240 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 241 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 242 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 243 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 244 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 245 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 246 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 247 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 248 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 249 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 250 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 251 | C2×Q8×C53 | — | 4 | 2 | no | — |
| 252 | C2×Q8×C53 | — | 4 | 2 | no | — |
| 253 | C2×Q8×C53 | — | 4 | 2 | no | — |
| 254 | C2×Q8×C53 | — | 4 | 2 | no | — |
| 255 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C2×Q8×C53 | C2×D4 | 1 | 2 | yes | — |
| 257 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C2×D4×C53 | — | 2 | 1 | no | — |
| 259 | C2×D4×C53 | — | 2 | 2 | no | — |
| 260 | C2×D4×C53 | — | 2 | 1 | no | — |
| 261 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C22×C4×C53 | — | 2 | 1 | no | — |
| 264 | C22×C4×C53 | — | 2 | 2 | no | — |
| 265 | C22×C4×C53 | — | 2 | 2 | no | — |
| 266 | C22×C4×C53 | — | 2 | 1 | no | — |
| 267 | C22×C4×C53 | — | 2 | 1 | no | — |
| 268 | C22×C4×C53 | — | 2 | 1 | no | — |
| 269 | C22×C4×C53 | C2×D4 | 1 | 2 | yes | — |
| 270 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 271 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 272 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 273 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 274 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 275 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 276 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 277 | C22×Dic53 | — | 2 | 2 | no | — |
| 278 | C22×Dic53 | — | 2 | 1 | no | — |
| 279 | C22×Dic53 | — | 2 | 1 | no | — |
| 280 | C22×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C22×Dic53 | C2×D4 | 1 | 2 | yes | — |
| 282 | #11719949 | — | 2 | 4 | no | — |
| 283 | #11719949 | — | 2 | 4 | no | — |
| 284 | #11719949 | — | 2 | 2 | no | — |
| 285 | #11719949 | — | 4 | 1 | no | — |
| 286 | #11719949 | — | 4 | 2 | no | — |
| 287 | #11719949 | — | 4 | 2 | no | — |
| 288 | #11719949 | — | 4 | 2 | no | — |
| 289 | #11719949 | — | 4 | 2 | no | — |
| 290 | #11719949 | — | 4 | 2 | no | — |
| 291 | #11719949 | — | 4 | 2 | no | — |
| 292 | Q8×D53 | — | 2 | 2 | no | — |
| 293 | Q8×D53 | — | 4 | 1 | no | — |
| 294 | #11719947 | — | 2 | 2 | no | — |
| 295 | #11719947 | — | 4 | 1 | no | — |
| 296 | #11719947 | — | 4 | 2 | no | — |
| 297 | #11719947 | — | 4 | 2 | no | — |
| 298 | D4×D53 | — | 2 | 2 | no | — |
| 299 | D4×D53 | — | 4 | 1 | no | — |
| 300 | D4×D53 | — | 4 | 2 | no | — |
| 301 | D4×D53 | — | 4 | 2 | no | — |
| 302 | #11719945 | — | 2 | 1 | no | — |
| 303 | #11719945 | — | 2 | 1 | no | — |
| 304 | #11719945 | — | 2 | 1 | no | — |
| 305 | #11719945 | — | 2 | 1 | no | — |
| 306 | #11719945 | — | 4 | 2 | no | — |
| 307 | #11719945 | — | 4 | 2 | no | — |
| 308 | C2×D212 | — | 2 | 1 | no | — |
| 309 | C2×D212 | — | 2 | 1 | no | — |
| 310 | C2×D212 | — | 2 | 1 | no | — |
| 311 | C2×D212 | — | 2 | 1 | no | — |
| 312 | C2×D212 | — | 2 | 1 | no | — |
| 313 | C2×D212 | — | 2 | 1 | no | — |
| 314 | C2×D212 | — | 4 | 2 | no | — |
| 315 | C2×D212 | — | 4 | 2 | no | — |
| 316 | C2×D212 | — | 4 | 1 | no | — |
| 317 | C2×D212 | — | 4 | 1 | no | — |
| 318 | C2×D212 | C2×D4 | 1 | 1 | yes | characteristic |
| 319 | C2×D212 | C2×D4 | 1 | 2 | yes | — |
| 320 | C2×C4×D53 | — | 2 | 1 | no | — |
| 321 | C2×C4×D53 | — | 2 | 1 | no | — |
| 322 | C2×C4×D53 | — | 2 | 1 | no | — |
| 323 | C2×C4×D53 | — | 2 | 1 | no | — |
| 324 | C2×C4×D53 | — | 2 | 1 | no | — |
| 325 | C2×C4×D53 | — | 2 | 1 | no | — |
| 326 | C2×C4×D53 | — | 2 | 1 | no | — |
| 327 | C2×C4×D53 | — | 4 | 2 | no | — |
| 328 | C2×C4×D53 | — | 4 | 2 | no | — |
| 329 | C2×C4×D53 | — | 4 | 2 | no | — |
| 330 | C2×C4×D53 | — | 4 | 2 | no | — |
| 331 | C2×C4×D53 | — | 4 | 1 | no | — |
| 332 | C2×C4×D53 | — | 4 | 1 | no | — |
| 333 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 334 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 335 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 336 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 337 | C2×Dic106 | — | 2 | 1 | no | — |
| 338 | C2×Dic106 | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | Q16×C53 | — | 2 | 4 | no | — |
| 340 | Q16×C53 | — | 4 | 2 | no | — |
| 341 | SD16×C53 | — | 2 | 4 | no | — |
| 342 | SD16×C53 | — | 4 | 2 | no | — |
| 343 | M16×C53 | — | 2 | 1 | no | — |
| 344 | M16×C53 | — | 2 | 1 | no | — |
| 345 | M16×C53 | — | 2 | 1 | no | — |
| 346 | M16×C53 | C2×D4 | 1 | 2 | yes | — |
| 347 | C2×C8×C53 | — | 2 | 1 | no | — |
| 348 | C2×C8×C53 | — | 2 | 1 | no | — |
| 349 | C4⋊C4×C53 | — | 4 | 4 | no | — |
| 350 | C42×C53 | — | 2 | 1 | no | — |
| 351 | C42×C53 | — | 2 | 1 | no | — |
| 352 | C22⋊Dic53 | — | 2 | 2 | no | — |
| 353 | C22⋊Dic53 | — | 2 | 2 | no | — |
| 354 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 355 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 356 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 357 | #11719925 | — | 2 | 4 | no | — |
| 358 | #11719924 | — | 2 | 4 | no | — |
| 359 | #11719924 | — | 2 | 4 | no | — |
| 360 | #11719924 | — | 4 | 2 | no | — |
| 361 | #11719922 | — | 2 | 4 | no | — |
| 362 | #11719922 | — | 4 | 2 | no | — |
| 363 | #11719921 | — | 2 | 2 | no | — |
| 364 | #11719921 | — | 2 | 2 | no | — |
| 365 | #11719921 | — | 2 | 2 | no | — |
| 366 | #11719921 | — | 2 | 1 | no | — |
| 367 | #11719921 | — | 2 | 2 | no | — |
| 368 | #11719921 | — | 2 | 2 | no | — |
| 369 | #11719921 | — | 2 | 1 | no | — |
| 370 | #11719921 | — | 4 | 4 | no | — |
| 371 | #11719921 | — | 4 | 4 | no | — |
| 372 | #11719921 | — | 4 | 2 | no | — |
| 373 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 374 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 375 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 376 | C4⋊Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 377 | C4⋊Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 378 | #11719919 | — | 2 | 2 | no | — |
| 379 | #11719919 | — | 2 | 2 | no | — |
| 380 | #11719919 | — | 2 | 2 | no | — |
| 381 | #11719919 | — | 2 | 1 | no | — |
| 382 | #11719919 | — | 2 | 2 | no | — |
| 383 | #11719919 | — | 2 | 2 | no | — |
| 384 | #11719919 | — | 2 | 1 | no | — |
| 385 | C4×Dic53 | — | 2 | 2 | no | — |
| 386 | C4×Dic53 | — | 2 | 1 | no | — |
| 387 | C4×Dic53 | — | 2 | 1 | no | — |
| 388 | C4×Dic53 | — | 2 | 1 | no | — |
| 389 | #11719917 | — | 2 | 1 | no | — |
| 390 | #11719917 | — | 2 | 1 | no | — |
| 391 | #11719917 | — | 2 | 1 | no | — |
| 392 | #11719917 | C2×D4 | 1 | 2 | yes | — |
| 393 | C2×#88322 | — | 2 | 1 | no | — |
| 394 | C2×#88322 | — | 2 | 1 | no | — |
| 395 | D424 | — | 2 | 4 | no | — |
| 396 | #11719913 | — | 2 | 4 | no | — |
| 397 | #11719912 | — | 2 | 4 | no | — |
| 398 | C8×D53 | — | 2 | 4 | no | — |
| 399 | C23×C53 | — | 2 | 1 | no | — |
| 400 | C23×C53 | — | 2 | 1 | no | — |
| 401 | C23×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 402 | C22×D53 | — | 2 | 1 | no | — |
| 403 | C22×D53 | — | 2 | 1 | no | — |
| 404 | C22×D53 | — | 2 | 1 | no | — |
| 405 | C22×D53 | — | 2 | 2 | no | — |
| 406 | C22×D53 | — | 4 | 1 | no | — |
| 407 | C22×D53 | — | 4 | 1 | no | — |
| 408 | C22×D53 | — | 4 | 2 | no | — |
| 409 | C22×D53 | — | 4 | 2 | no | — |
| 410 | C22×D53 | — | 4 | 2 | no | — |
| 411 | C22×D53 | — | 4 | 2 | no | — |
| 412 | C22×D53 | — | 4 | 1 | no | — |
| 413 | C22×D53 | — | 4 | 1 | no | — |
| 414 | C22×D53 | — | 8 | 1 | no | — |
| 415 | C22×D53 | #120 | 1 | 1 | yes | characteristic |
| 416 | C22×D53 | #120 | 1 | 1 | yes | characteristic |
| 417 | Q8×C53 | — | 2 | 1 | no | — |
| 418 | Q8×C53 | — | 2 | 2 | no | — |
| 419 | Q8×C53 | — | 2 | 2 | no | — |
| 420 | Q8×C53 | — | 2 | 1 | no | — |
| 421 | Q8×C53 | — | 2 | 1 | no | — |
| 422 | Q8×C53 | — | 4 | 4 | no | — |
| 423 | Q8×C53 | — | 4 | 1 | no | — |
| 424 | Q8×C53 | — | 4 | 1 | no | — |
| 425 | Q8×C53 | — | 4 | 1 | no | — |
| 426 | Q8×C53 | — | 4 | 1 | no | — |
| 427 | Q8×C53 | — | 4 | 1 | no | — |
| 428 | Q8×C53 | — | 4 | 1 | no | — |
| 429 | Q8×C53 | #120 | 1 | 2 | yes | — |
| 430 | D4×C53 | — | 2 | 2 | no | — |
| 431 | D4×C53 | — | 2 | 2 | no | — |
| 432 | D4×C53 | — | 2 | 1 | no | — |
| 433 | D4×C53 | — | 2 | 1 | no | — |
| 434 | D4×C53 | — | 2 | 1 | no | — |
| 435 | D4×C53 | — | 4 | 4 | no | — |
| 436 | D4×C53 | — | 4 | 1 | no | — |
| 437 | D4×C53 | — | 4 | 1 | no | — |
| 438 | D4×C53 | #120 | 1 | 2 | yes | — |
| 439 | C2×C4×C53 | — | 2 | 1 | no | — |
| 440 | C2×C4×C53 | — | 2 | 2 | no | — |
| 441 | C2×C4×C53 | — | 2 | 2 | no | — |
| 442 | C2×C4×C53 | — | 2 | 2 | no | — |
| 443 | C2×C4×C53 | — | 2 | 1 | no | — |
| 444 | C2×C4×C53 | — | 2 | 2 | no | — |
| 445 | C2×C4×C53 | — | 2 | 2 | no | — |
| 446 | C2×C4×C53 | — | 2 | 2 | no | — |
| 447 | C2×C4×C53 | — | 2 | 2 | no | — |
| 448 | C2×C4×C53 | — | 4 | 4 | no | — |
| 449 | C2×C4×C53 | — | 4 | 1 | no | — |
| 450 | C2×C4×C53 | — | 4 | 4 | no | — |
| 451 | C2×C4×C53 | — | 4 | 1 | no | — |
| 452 | C2×C4×C53 | — | 4 | 1 | no | — |
| 453 | C2×C4×C53 | — | 4 | 1 | no | — |
| 454 | C2×C4×C53 | — | 4 | 1 | no | — |
| 455 | C2×C4×C53 | — | 4 | 1 | no | — |
| 456 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 457 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 458 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 459 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 460 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 461 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 462 | C22⋊D53 | — | 4 | 2 | no | — |
| 463 | C22⋊D53 | — | 4 | 2 | no | — |
| 464 | C22⋊D53 | — | 4 | 2 | no | — |
| 465 | C22⋊D53 | — | 4 | 1 | no | — |
| 466 | C22⋊D53 | — | 4 | 1 | no | — |
| 467 | C22⋊D53 | — | 8 | 1 | no | — |
| 468 | C22⋊D53 | — | 8 | 2 | no | — |
| 469 | C2×Dic53 | — | 2 | 1 | no | — |
| 470 | C2×Dic53 | — | 2 | 1 | no | — |
| 471 | C2×Dic53 | — | 2 | 1 | no | — |
| 472 | C2×Dic53 | — | 2 | 1 | no | — |
| 473 | C2×Dic53 | — | 2 | 2 | no | — |
| 474 | C2×Dic53 | — | 2 | 1 | no | — |
| 475 | C2×Dic53 | — | 4 | 2 | no | — |
| 476 | C2×Dic53 | — | 4 | 2 | no | — |
| 477 | C2×Dic53 | — | 4 | 1 | no | — |
| 478 | C2×Dic53 | — | 4 | 1 | no | — |
| 479 | C2×Dic53 | — | 4 | 1 | no | — |
| 480 | C2×Dic53 | — | 8 | 2 | no | — |
| 481 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 482 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 483 | D212 | — | 2 | 2 | no | — |
| 484 | D212 | — | 2 | 1 | no | — |
| 485 | D212 | — | 2 | 1 | no | — |
| 486 | D212 | — | 2 | 2 | no | — |
| 487 | D212 | — | 4 | 2 | no | — |
| 488 | D212 | — | 4 | 4 | no | — |
| 489 | D212 | — | 4 | 4 | no | — |
| 490 | D212 | — | 4 | 1 | no | — |
| 491 | D212 | — | 4 | 1 | no | — |
| 492 | C4×D53 | — | 2 | 1 | no | — |
| 493 | C4×D53 | — | 2 | 1 | no | — |
| 494 | C4×D53 | — | 2 | 1 | no | — |
| 495 | C4×D53 | — | 2 | 1 | no | — |
| 496 | C4×D53 | — | 2 | 1 | no | — |
| 497 | C4×D53 | — | 2 | 1 | no | — |
| 498 | C4×D53 | — | 2 | 1 | no | — |
| 499 | C4×D53 | — | 2 | 1 | no | — |
| 500 | C4×D53 | — | 4 | 2 | no | — |
| 501 | C4×D53 | — | 4 | 4 | no | — |
| 502 | C4×D53 | — | 4 | 4 | no | — |
| 503 | C4×D53 | — | 4 | 2 | no | — |
| 504 | C4×D53 | — | 4 | 1 | no | — |
| 505 | C4×D53 | — | 4 | 1 | no | — |
| 506 | Dic106 | — | 2 | 1 | no | — |
| 507 | Dic106 | — | 2 | 1 | no | — |
| 508 | Dic106 | — | 4 | 2 | no | — |
| 509 | C8×C53 | — | 2 | 2 | no | — |
| 510 | C8×C53 | — | 4 | 1 | no | — |
| 511 | #88322 | — | 2 | 2 | no | — |
| 512 | #88322 | — | 4 | 1 | no | — |
| 513 | #23881 | — | 53 | 1 | no | maximal, Sylow |
| 514 | C22×C53 | — | 2 | 1 | no | — |
| 515 | C22×C53 | — | 2 | 1 | no | — |
| 516 | C22×C53 | — | 2 | 2 | no | — |
| 517 | C22×C53 | — | 4 | 1 | no | — |
| 518 | C22×C53 | — | 4 | 1 | no | — |
| 519 | C22×C53 | — | 4 | 1 | no | — |
| 520 | C22×C53 | — | 4 | 1 | no | — |
| 521 | C22×C53 | — | 4 | 1 | no | — |
| 522 | C22×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 523 | C22×C53 | D42 | 1 | 1 | yes | characteristic |
| 524 | C22×C53 | D42 | 1 | 1 | yes | characteristic |
| 525 | C2×D53 | — | 2 | 1 | no | — |
| 526 | C2×D53 | — | 2 | 1 | no | — |
| 527 | C2×D53 | — | 2 | 1 | no | — |
| 528 | C2×D53 | — | 2 | 1 | no | — |
| 529 | C2×D53 | — | 2 | 1 | no | — |
| 530 | C2×D53 | — | 2 | 1 | no | — |
| 531 | C2×D53 | — | 4 | 4 | no | — |
| 532 | C2×D53 | — | 4 | 2 | no | — |
| 533 | C2×D53 | — | 4 | 1 | no | — |
| 534 | C2×D53 | — | 4 | 1 | no | — |
| 535 | C2×D53 | — | 4 | 1 | no | — |
| 536 | C2×D53 | — | 8 | 1 | no | — |
| 537 | C2×D53 | — | 8 | 1 | no | — |
| 538 | C2×D53 | — | 8 | 4 | no | — |
| 539 | C2×D53 | — | 8 | 2 | no | — |
| 540 | C2×D53 | — | 8 | 1 | no | — |
| 541 | C2×D53 | — | 8 | 1 | no | — |
| 542 | C4×C53 | — | 2 | 2 | no | — |
| 543 | C4×C53 | — | 4 | 2 | no | — |
| 544 | C4×C53 | — | 4 | 2 | no | — |
| 545 | C4×C53 | — | 4 | 2 | no | — |
| 546 | C4×C53 | — | 4 | 1 | no | — |
| 547 | C4×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 548 | C4×C53 | #534 | 1 | 1 | yes | characteristic |
| 549 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 550 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 551 | Dic53 | — | 2 | 1 | no | — |
| 552 | Dic53 | — | 2 | 1 | no | — |
| 553 | Dic53 | — | 4 | 1 | no | — |
| 554 | Dic53 | — | 4 | 2 | no | — |
| 555 | Dic53 | — | 4 | 1 | no | — |
| 556 | Dic53 | — | 4 | 1 | no | — |
| 557 | Dic53 | — | 8 | 1 | no | — |
| 558 | C2×#575 | — | 53 | 1 | no | — |
| 559 | #3489 | — | 53 | 1 | no | — |
| 560 | C2×#456 | D53 | 1 | 1 | yes | characteristic, complemented |
| 561 | C2×#454 | — | 53 | 1 | no | — |
| 562 | #3005 | — | 53 | 1 | no | — |
| 563 | #2432 | — | 53 | 1 | no | — |
| 564 | #2007 | — | 53 | 1 | no | — |
| 565 | #2006 | — | 53 | 1 | no | — |
| 566 | #2005 | — | 53 | 1 | no | — |
| 567 | #2003 | — | 53 | 1 | no | — |
| 568 | #1901 | — | 53 | 1 | no | — |
| 569 | #1883 | — | 53 | 1 | no | — |
| 570 | #1882 | — | 53 | 1 | no | — |
| 571 | #1871 | — | 53 | 1 | no | — |
| 572 | #1789 | — | 53 | 1 | no | — |
| 573 | C2×C53 | — | 2 | 1 | no | — |
| 574 | C2×C53 | — | 2 | 1 | no | — |
| 575 | C2×C53 | — | 4 | 2 | no | — |
| 576 | C2×C53 | — | 8 | 1 | no | — |
| 577 | C2×C53 | #2403 | 1 | 1 | yes | characteristic |
| 578 | C2×C53 | #3018 | 1 | 1 | yes | characteristic |
| 579 | C2×C53 | #3020 | 1 | 1 | yes | characteristic |
| 580 | D53 | — | 4 | 1 | no | — |
| 581 | D53 | — | 4 | 1 | no | — |
| 582 | D53 | — | 8 | 2 | no | — |
| 583 | D53 | — | 8 | 1 | no | — |
| 584 | C2×2−1+4 | C2×D53 | 1 | 1 | yes | characteristic |
| 585 | C22×#41 | — | 53 | 1 | no | — |
| 586 | C22×#41 | — | 53 | 1 | no | — |
| 587 | #575 | — | 106 | 4 | no | — |
| 588 | #575 | — | 106 | 4 | no | — |
| 589 | C2×#137 | — | 53 | 1 | no | — |
| 590 | C2×#137 | — | 106 | 1 | no | — |
| 591 | C2×#137 | C2×D53 | 1 | 1 | yes | characteristic |
| 592 | C2×#137 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 593 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 594 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 595 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 596 | C2×AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 597 | C2×#135 | — | 106 | 1 | no | — |
| 598 | C2×#135 | — | 106 | 1 | no | — |
| 599 | C22×M16 | — | 53 | 1 | no | — |
| 600 | D4×Q8 | — | 106 | 1 | no | — |
| 601 | #548 | — | 106 | 1 | no | — |
| 602 | #547 | — | 106 | 2 | no | — |
| 603 | #547 | — | 106 | 1 | no | — |
| 604 | #546 | — | 106 | 2 | no | — |
| 605 | #546 | — | 106 | 1 | no | — |
| 606 | #537 | — | 53 | 1 | no | — |
| 607 | #537 | — | 106 | 1 | no | — |
| 608 | #536 | — | 53 | 1 | no | — |
| 609 | #536 | — | 106 | 1 | no | — |
| 610 | C2×C4⋊Q8 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 611 | C2×#124 | — | 53 | 1 | no | — |
| 612 | #525 | — | 53 | 1 | no | — |
| 613 | #525 | — | 106 | 1 | no | — |
| 614 | C2×C22⋊Q8 | — | 53 | 1 | no | — |
| 615 | C2×C22⋊Q8 | — | 106 | 1 | no | — |
| 616 | #520 | — | 53 | 1 | no | — |
| 617 | #456 | — | 2 | 4 | no | — |
| 618 | #454 | — | 106 | 4 | no | — |
| 619 | #452 | — | 106 | 1 | no | — |
| 620 | #452 | — | 106 | 1 | no | — |
| 621 | #449 | — | 106 | 1 | no | — |
| 622 | #449 | — | 106 | 1 | no | — |
| 623 | C2×#104 | — | 53 | 1 | no | — |
| 624 | C2×#104 | — | 53 | 1 | no | — |
| 625 | C2×#104 | — | 53 | 1 | no | — |
| 626 | C2×#104 | — | 53 | 1 | no | — |
| 627 | C2×#104 | C2×D53 | 1 | 1 | yes | characteristic |
| 628 | C2×#104 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 629 | #419 | — | 53 | 1 | no | — |
| 630 | #418 | — | 53 | 1 | no | — |
| 631 | C2×#101 | — | 53 | 1 | no | — |
| 632 | C2×#101 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 633 | #407 | — | 53 | 1 | no | — |
| 634 | #394 | — | 106 | 2 | no | — |
| 635 | #391 | — | 53 | 1 | no | — |
| 636 | #390 | — | 53 | 1 | no | — |
| 637 | #385 | — | 106 | 2 | no | — |
| 638 | C4×C22⋊C4 | — | 53 | 1 | no | — |
| 639 | #343 | — | 53 | 1 | no | — |
| 640 | #343 | — | 53 | 1 | no | — |
| 641 | #339 | — | 53 | 1 | no | — |
| 642 | #339 | — | 53 | 1 | no | — |
| 643 | C53 | #23881 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 644 | 2−1+4 | — | 2 | 2 | no | — |
| 645 | 2−1+4 | — | 2 | 2 | no | — |
| 646 | 2−1+4 | — | 4 | 1 | no | — |
| 647 | 2−1+4 | — | 4 | 1 | no | — |
| 648 | C2×#41 | — | 2 | 1 | no | — |
| 649 | C2×#41 | — | 2 | 1 | no | — |
| 650 | C2×#41 | — | 2 | 2 | no | — |
| 651 | C2×#41 | — | 53 | 1 | no | — |
| 652 | C2×#41 | — | 53 | 1 | no | — |
| 653 | C2×#41 | — | 53 | 1 | no | — |
| 654 | C2×#41 | — | 106 | 1 | no | — |
| 655 | C2×#41 | — | 106 | 1 | no | — |
| 656 | C2×#41 | — | 106 | 1 | no | — |
| 657 | C2×#41 | — | 106 | 1 | no | — |
| 658 | C2×#41 | — | 106 | 1 | no | — |
| 659 | C2×#41 | — | 106 | 1 | no | — |
| 660 | C2×#41 | — | 106 | 2 | no | — |
| 661 | C2×#41 | — | 106 | 2 | no | — |
| 662 | C2×#41 | — | 106 | 2 | no | — |
| 663 | C2×#41 | — | 106 | 2 | no | — |
| 664 | C2×#41 | — | 212 | 1 | no | — |
| 665 | C2×#41 | — | 212 | 1 | no | — |
| 666 | C2×#41 | — | 212 | 1 | no | — |
| 667 | C2×#41 | — | 212 | 1 | no | — |
| 668 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 669 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 670 | C22×Q8 | — | 2 | 1 | no | — |
| 671 | C22×Q8 | — | 2 | 1 | no | — |
| 672 | C22×Q8 | — | 53 | 1 | no | — |
| 673 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 674 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 675 | C22×D4 | — | 53 | 1 | no | — |
| 676 | C22×D4 | — | 53 | 1 | no | — |
| 677 | C22×D4 | — | 106 | 1 | no | — |
| 678 | C22×D4 | — | 106 | 1 | no | — |
| 679 | C23×C4 | — | 53 | 1 | no | — |
| 680 | C23×C4 | — | 106 | 1 | no | — |
| 681 | C23×C4 | — | 106 | 1 | no | — |
| 682 | #137 | — | 2 | 2 | no | — |
| 683 | #137 | — | 2 | 2 | no | — |
| 684 | #137 | — | 4 | 1 | no | — |
| 685 | #137 | — | 106 | 2 | no | — |
| 686 | #137 | — | 106 | 8 | no | — |
| 687 | #137 | — | 106 | 2 | no | — |
| 688 | #137 | C22⋊D53 | 1 | 4 | yes | complemented |
| 689 | AGL(1,ℤ/8) | — | 53 | 4 | no | — |
| 690 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 691 | AGL(1,ℤ/8) | — | 106 | 8 | no | — |
| 692 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 693 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 694 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 695 | AGL(1,ℤ/8) | — | 212 | 1 | no | — |
| 696 | #135 | — | 106 | 8 | no | — |
| 697 | #135 | — | 106 | 8 | no | — |
| 698 | C2×Q16 | — | 2 | 1 | no | — |
| 699 | C2×Q16 | — | 2 | 1 | no | — |
| 700 | C2×Q16 | — | 106 | 1 | no | — |
| 701 | C2×SD16 | — | 2 | 1 | no | — |
| 702 | C2×SD16 | — | 2 | 1 | no | — |
| 703 | C2×SD16 | — | 106 | 1 | no | — |
| 704 | C2×SD16 | — | 106 | 1 | no | — |
| 705 | C2×SD16 | — | 106 | 1 | no | — |
| 706 | C2×SD16 | — | 106 | 1 | no | — |
| 707 | C2×D8 | — | 106 | 1 | no | — |
| 708 | C2×D8 | — | 106 | 1 | no | — |
| 709 | C2×D8 | — | 106 | 1 | no | — |
| 710 | C2×M16 | — | 53 | 1 | no | — |
| 711 | C2×M16 | — | 53 | 1 | no | — |
| 712 | C2×M16 | — | 106 | 1 | no | — |
| 713 | C2×M16 | — | 106 | 2 | no | — |
| 714 | C2×M16 | — | 106 | 2 | no | — |
| 715 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 716 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 717 | C22×C8 | — | 106 | 1 | no | — |
| 718 | C4⋊Q8 | — | 2 | 2 | no | — |
| 719 | C4⋊Q8 | — | 4 | 1 | no | — |
| 720 | C4⋊Q8 | — | 106 | 1 | no | — |
| 721 | C4⋊Q8 | — | 106 | 2 | no | — |
| 722 | #124 | — | 106 | 1 | no | — |
| 723 | #124 | — | 106 | 2 | no | — |
| 724 | #124 | — | 106 | 2 | no | — |
| 725 | #124 | — | 212 | 1 | no | — |
| 726 | #123 | — | 106 | 2 | no | — |
| 727 | #123 | — | 106 | 2 | no | — |
| 728 | #123 | — | 106 | 1 | no | — |
| 729 | #123 | — | 106 | 2 | no | — |
| 730 | #123 | — | 106 | 2 | no | — |
| 731 | C22⋊Q8 | — | 53 | 1 | no | — |
| 732 | C22⋊Q8 | — | 53 | 1 | no | — |
| 733 | C22⋊Q8 | — | 106 | 1 | no | — |
| 734 | C22⋊Q8 | — | 106 | 1 | no | — |
| 735 | C22⋊Q8 | — | 106 | 1 | no | — |
| 736 | C22⋊Q8 | — | 106 | 2 | no | — |
| 737 | C22⋊Q8 | — | 106 | 1 | no | — |
| 738 | C22⋊Q8 | — | 106 | 1 | no | — |
| 739 | C22⋊Q8 | — | 106 | 1 | no | — |
| 740 | C22⋊Q8 | — | 106 | 1 | no | — |
| 741 | C22⋊Q8 | — | 106 | 2 | no | — |
| 742 | C22⋊Q8 | — | 106 | 2 | no | — |
| 743 | C22⋊Q8 | — | 106 | 1 | no | — |
| 744 | #121 | — | 53 | 1 | no | — |
| 745 | #121 | — | 53 | 1 | no | — |
| 746 | #121 | — | 106 | 1 | no | — |
| 747 | #121 | — | 106 | 2 | no | — |
| 748 | #121 | — | 106 | 2 | no | — |
| 749 | #121 | — | 106 | 2 | no | — |
| 750 | #121 | — | 106 | 2 | no | — |
| 751 | #121 | — | 106 | 1 | no | — |
| 752 | #120 | — | 106 | 1 | no | — |
| 753 | #120 | — | 106 | 2 | no | — |
| 754 | C4×Q8 | — | 106 | 1 | no | — |
| 755 | C4×D4 | — | 106 | 1 | no | — |
| 756 | C4×D4 | — | 106 | 1 | no | — |
| 757 | C4×D4 | — | 106 | 2 | no | — |
| 758 | C4×D4 | — | 106 | 2 | no | — |
| 759 | C4×D4 | — | 106 | 2 | no | — |
| 760 | C4×D4 | — | 106 | 1 | no | — |
| 761 | #117 | — | 53 | 1 | no | — |
| 762 | #117 | — | 106 | 1 | no | — |
| 763 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 764 | C2×C4⋊C4 | — | 53 | 2 | no | — |
| 765 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 766 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 767 | C2×C4⋊C4 | — | 106 | 2 | no | — |
| 768 | C2×C22⋊C4 | — | 53 | 2 | no | — |
| 769 | C2×C22⋊C4 | — | 106 | 2 | no | — |
| 770 | C2×C22⋊C4 | — | 106 | 2 | no | — |
| 771 | C2×C22⋊C4 | — | 106 | 1 | no | — |
| 772 | C2×C22⋊C4 | — | 106 | 2 | no | — |
| 773 | C2×C42 | — | 53 | 1 | no | — |
| 774 | C2×C42 | C22×D53 | 1 | 1 | yes | characteristic |
| 775 | #104 | — | 2 | 2 | no | — |
| 776 | #104 | — | 2 | 2 | no | — |
| 777 | #104 | — | 106 | 2 | no | — |
| 778 | #104 | — | 106 | 2 | no | — |
| 779 | #104 | — | 212 | 1 | no | — |
| 780 | #104 | — | 212 | 1 | no | — |
| 781 | #103 | — | 106 | 1 | no | — |
| 782 | #103 | — | 106 | 1 | no | — |
| 783 | #102 | — | 106 | 1 | no | — |
| 784 | #102 | — | 106 | 1 | no | — |
| 785 | #101 | — | 2 | 2 | no | — |
| 786 | #101 | — | 106 | 2 | no | — |
| 787 | C22⋊C8 | — | 106 | 1 | no | — |
| 788 | C22⋊C8 | — | 106 | 1 | no | — |
| 789 | #95 | — | 106 | 1 | no | — |
| 790 | #95 | — | 106 | 2 | no | — |
| 791 | C24 | — | 53 | 1 | no | — |
| 792 | C24 | — | 106 | 1 | no | — |
| 793 | C24 | — | 106 | 1 | no | — |
| 794 | #41 | — | 2 | 1 | no | — |
| 795 | #41 | — | 2 | 1 | no | — |
| 796 | #41 | — | 2 | 1 | no | — |
| 797 | #41 | — | 2 | 1 | no | — |
| 798 | #41 | — | 2 | 1 | no | — |
| 799 | #41 | — | 2 | 1 | no | — |
| 800 | #41 | — | 4 | 2 | no | — |
| 801 | #41 | — | 4 | 2 | no | — |
| 802 | #41 | — | 4 | 4 | no | — |
| 803 | #41 | — | 4 | 4 | no | — |
| 804 | #41 | — | 4 | 2 | no | — |
| 805 | #41 | — | 4 | 2 | no | — |
| 806 | #41 | — | 106 | 4 | no | — |
| 807 | #41 | — | 106 | 4 | no | — |
| 808 | #41 | — | 106 | 2 | no | — |
| 809 | #41 | — | 106 | 2 | no | — |
| 810 | #41 | — | 106 | 1 | no | — |
| 811 | #41 | — | 106 | 1 | no | — |
| 812 | #41 | — | 106 | 1 | no | — |
| 813 | #41 | — | 106 | 1 | no | — |
| 814 | #41 | — | 212 | 2 | no | — |
| 815 | #41 | — | 212 | 2 | no | — |
| 816 | #41 | — | 212 | 1 | no | — |
| 817 | #41 | — | 212 | 2 | no | — |
| 818 | #41 | — | 212 | 2 | no | — |
| 819 | #41 | — | 212 | 1 | no | — |
| 820 | #41 | — | 212 | 2 | no | — |
| 821 | #41 | — | 212 | 2 | no | — |
| 822 | #41 | — | 212 | 2 | no | — |
| 823 | #41 | — | 212 | 2 | no | — |
| 824 | #41 | — | 212 | 2 | no | — |
| 825 | #41 | — | 212 | 2 | no | — |
| 826 | #41 | D4×D53 | 1 | 2 | yes | — |
| 827 | #41 | C2×C22⋊D53 | 1 | 2 | yes | — |
| 828 | C2×Q8 | — | 2 | 2 | no | — |
| 829 | C2×Q8 | — | 2 | 1 | no | — |
| 830 | C2×Q8 | — | 2 | 1 | no | — |
| 831 | C2×Q8 | — | 2 | 1 | no | — |
| 832 | C2×Q8 | — | 2 | 1 | no | — |
| 833 | C2×Q8 | — | 2 | 1 | no | — |
| 834 | C2×Q8 | — | 2 | 1 | no | — |
| 835 | C2×Q8 | — | 2 | 1 | no | — |
| 836 | C2×Q8 | — | 2 | 1 | no | — |
| 837 | C2×Q8 | — | 2 | 1 | no | — |
| 838 | C2×Q8 | — | 2 | 1 | no | — |
| 839 | C2×Q8 | — | 2 | 1 | no | — |
| 840 | C2×Q8 | — | 4 | 2 | no | — |
| 841 | C2×Q8 | — | 4 | 2 | no | — |
| 842 | C2×Q8 | — | 4 | 2 | no | — |
| 843 | C2×Q8 | — | 4 | 2 | no | — |
| 844 | C2×Q8 | — | 53 | 1 | no | — |
| 845 | C2×Q8 | — | 106 | 1 | no | — |
| 846 | C2×Q8 | — | 106 | 2 | no | — |
| 847 | C2×Q8 | — | 212 | 1 | no | — |
| 848 | C2×Q8 | D4×D53 | 1 | 1 | yes | characteristic |
| 849 | C2×Q8 | D4×D53 | 1 | 1 | yes | characteristic |
| 850 | C2×Q8 | C2×C22⋊D53 | 1 | 2 | yes | — |
| 851 | C2×D4 | — | 2 | 1 | no | — |
| 852 | C2×D4 | — | 2 | 2 | no | — |
| 853 | C2×D4 | — | 2 | 1 | no | — |
| 854 | C2×D4 | — | 53 | 1 | no | — |
| 855 | C2×D4 | — | 53 | 2 | no | — |
| 856 | C2×D4 | — | 106 | 1 | no | — |
| 857 | C2×D4 | — | 106 | 1 | no | — |
| 858 | C2×D4 | — | 106 | 2 | no | — |
| 859 | C2×D4 | — | 106 | 1 | no | — |
| 860 | C2×D4 | — | 106 | 2 | no | — |
| 861 | C2×D4 | — | 106 | 1 | no | — |
| 862 | C2×D4 | — | 106 | 1 | no | — |
| 863 | C2×D4 | — | 106 | 1 | no | — |
| 864 | C2×D4 | — | 106 | 1 | no | — |
| 865 | C2×D4 | — | 106 | 1 | no | — |
| 866 | C2×D4 | — | 106 | 1 | no | — |
| 867 | C2×D4 | — | 106 | 1 | no | — |
| 868 | C2×D4 | — | 106 | 1 | no | — |
| 869 | C2×D4 | — | 212 | 2 | no | — |
| 870 | C2×D4 | — | 212 | 1 | no | — |
| 871 | C2×D4 | — | 212 | 1 | no | — |
| 872 | C2×D4 | — | 212 | 2 | no | — |
| 873 | C2×D4 | — | 212 | 1 | no | — |
| 874 | C2×D4 | — | 212 | 2 | no | — |
| 875 | C2×D4 | — | 212 | 2 | no | — |
| 876 | C2×D4 | D4×D53 | 1 | 1 | yes | characteristic |
| 877 | C2×D4 | D4×D53 | 1 | 1 | yes | characteristic |
| 878 | C22×C4 | — | 2 | 1 | no | — |
| 879 | C22×C4 | — | 2 | 2 | no | — |
| 880 | C22×C4 | — | 2 | 2 | no | — |
| 881 | C22×C4 | — | 2 | 1 | no | — |
| 882 | C22×C4 | — | 2 | 1 | no | — |
| 883 | C22×C4 | — | 2 | 1 | no | — |
| 884 | C22×C4 | — | 53 | 1 | no | — |
| 885 | C22×C4 | — | 53 | 1 | no | — |
| 886 | C22×C4 | — | 53 | 1 | no | — |
| 887 | C22×C4 | — | 53 | 1 | no | — |
| 888 | C22×C4 | — | 53 | 1 | no | — |
| 889 | C22×C4 | — | 53 | 2 | no | — |
| 890 | C22×C4 | — | 106 | 1 | no | — |
| 891 | C22×C4 | — | 106 | 1 | no | — |
| 892 | C22×C4 | — | 106 | 1 | no | — |
| 893 | C22×C4 | — | 106 | 1 | no | — |
| 894 | C22×C4 | — | 106 | 1 | no | — |
| 895 | C22×C4 | — | 106 | 1 | no | — |
| 896 | C22×C4 | — | 106 | 1 | no | — |
| 897 | C22×C4 | — | 106 | 2 | no | — |
| 898 | C22×C4 | — | 106 | 1 | no | — |
| 899 | C22×C4 | — | 106 | 1 | no | — |
| 900 | C22×C4 | — | 212 | 2 | no | — |
| 901 | C22×C4 | — | 212 | 2 | no | — |
| 902 | C22×C4 | — | 212 | 2 | no | — |
| 903 | C22×C4 | — | 212 | 1 | no | — |
| 904 | C22×C4 | — | 212 | 1 | no | — |
| 905 | C22×C4 | — | 212 | 2 | no | — |
| 906 | C22×C4 | D4×D53 | 1 | 2 | yes | — |
| 907 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 908 | Q16 | — | 2 | 4 | no | — |
| 909 | Q16 | — | 4 | 2 | no | — |
| 910 | Q16 | — | 106 | 4 | no | — |
| 911 | SD16 | — | 2 | 4 | no | — |
| 912 | SD16 | — | 4 | 2 | no | — |
| 913 | SD16 | — | 106 | 4 | no | — |
| 914 | SD16 | — | 106 | 4 | no | — |
| 915 | SD16 | — | 106 | 4 | no | — |
| 916 | SD16 | — | 212 | 2 | no | — |
| 917 | D8 | — | 106 | 4 | no | — |
| 918 | D8 | — | 106 | 4 | no | — |
| 919 | D8 | — | 212 | 2 | no | — |
| 920 | M16 | — | 2 | 1 | no | — |
| 921 | M16 | — | 2 | 1 | no | — |
| 922 | M16 | — | 2 | 1 | no | — |
| 923 | M16 | — | 53 | 2 | no | — |
| 924 | M16 | — | 106 | 4 | no | — |
| 925 | M16 | — | 106 | 1 | no | — |
| 926 | M16 | — | 106 | 1 | no | — |
| 927 | M16 | — | 106 | 1 | no | — |
| 928 | M16 | C2×C22⋊D53 | 1 | 2 | yes | — |
| 929 | C2×C8 | — | 2 | 1 | no | — |
| 930 | C2×C8 | — | 2 | 1 | no | — |
| 931 | C2×C8 | — | 106 | 4 | no | — |
| 932 | C2×C8 | — | 106 | 1 | no | — |
| 933 | C2×C8 | — | 106 | 1 | no | — |
| 934 | C4⋊C4 | — | 4 | 4 | no | — |
| 935 | C4⋊C4 | — | 53 | 1 | no | — |
| 936 | C4⋊C4 | — | 53 | 1 | no | — |
| 937 | C4⋊C4 | — | 106 | 2 | no | — |
| 938 | C4⋊C4 | — | 106 | 2 | no | — |
| 939 | C4⋊C4 | — | 106 | 1 | no | — |
| 940 | C4⋊C4 | — | 106 | 1 | no | — |
| 941 | C4⋊C4 | — | 106 | 2 | no | — |
| 942 | C4⋊C4 | — | 106 | 2 | no | — |
| 943 | C4⋊C4 | — | 106 | 2 | no | — |
| 944 | C4⋊C4 | — | 106 | 2 | no | — |
| 945 | C4⋊C4 | — | 106 | 1 | no | — |
| 946 | C4⋊C4 | — | 106 | 1 | no | — |
| 947 | C22⋊C4 | — | 106 | 2 | no | — |
| 948 | C22⋊C4 | — | 106 | 2 | no | — |
| 949 | C22⋊C4 | — | 106 | 1 | no | — |
| 950 | C22⋊C4 | — | 106 | 1 | no | — |
| 951 | C22⋊C4 | — | 106 | 2 | no | — |
| 952 | C22⋊C4 | — | 106 | 2 | no | — |
| 953 | C22⋊C4 | — | 106 | 2 | no | — |
| 954 | C22⋊C4 | — | 106 | 1 | no | — |
| 955 | C22⋊C4 | — | 106 | 1 | no | — |
| 956 | C22⋊C4 | — | 106 | 2 | no | — |
| 957 | C22⋊C4 | — | 106 | 2 | no | — |
| 958 | C22⋊C4 | — | 106 | 1 | no | — |
| 959 | C22⋊C4 | — | 212 | 4 | no | — |
| 960 | C22⋊C4 | — | 212 | 2 | no | — |
| 961 | C22⋊C4 | — | 212 | 4 | no | — |
| 962 | C42 | — | 2 | 1 | no | — |
| 963 | C42 | — | 2 | 1 | no | — |
| 964 | C42 | — | 106 | 2 | no | — |
| 965 | C42 | — | 106 | 1 | no | — |
| 966 | C42 | — | 106 | 1 | no | — |
| 967 | C42 | — | 106 | 1 | no | — |
| 968 | C23 | — | 2 | 1 | no | — |
| 969 | C23 | — | 2 | 1 | no | — |
| 970 | C23 | — | 53 | 1 | no | — |
| 971 | C23 | — | 53 | 1 | no | — |
| 972 | C23 | — | 106 | 1 | no | — |
| 973 | C23 | — | 106 | 1 | no | — |
| 974 | C23 | — | 106 | 1 | no | — |
| 975 | C23 | — | 106 | 2 | no | — |
| 976 | C23 | — | 424 | 1 | no | — |
| 977 | C23 | — | 212 | 1 | no | — |
| 978 | C23 | — | 212 | 1 | no | — |
| 979 | C23 | — | 212 | 2 | no | — |
| 980 | C23 | — | 212 | 2 | no | — |
| 981 | C23 | — | 212 | 2 | no | — |
| 982 | C23 | — | 212 | 2 | no | — |
| 983 | C23 | — | 212 | 1 | no | — |
| 984 | C23 | — | 212 | 1 | no | — |
| 985 | C23 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 986 | Q8 | — | 2 | 1 | no | — |
| 987 | Q8 | — | 2 | 2 | no | — |
| 988 | Q8 | — | 2 | 1 | no | — |
| 989 | Q8 | — | 2 | 2 | no | — |
| 990 | Q8 | — | 2 | 1 | no | — |
| 991 | Q8 | — | 4 | 4 | no | — |
| 992 | Q8 | — | 4 | 1 | no | — |
| 993 | Q8 | — | 4 | 1 | no | — |
| 994 | Q8 | — | 4 | 1 | no | — |
| 995 | Q8 | — | 4 | 1 | no | — |
| 996 | Q8 | — | 4 | 1 | no | — |
| 997 | Q8 | — | 4 | 1 | no | — |
| 998 | Q8 | — | 106 | 1 | no | — |
| 999 | Q8 | — | 106 | 1 | no | — |
| 1000 | Q8 | — | 212 | 2 | no | — |
| 1001 | Q8 | #13133185 | 1 | 2 | yes | — |
| 1002 | D4 | — | 2 | 2 | no | — |
| 1003 | D4 | — | 2 | 2 | no | — |
| 1004 | D4 | — | 2 | 1 | no | — |
| 1005 | D4 | — | 2 | 1 | no | — |
| 1006 | D4 | — | 2 | 1 | no | — |
| 1007 | D4 | — | 4 | 4 | no | — |
| 1008 | D4 | — | 4 | 1 | no | — |
| 1009 | D4 | — | 4 | 1 | no | — |
| 1010 | D4 | — | 106 | 2 | no | — |
| 1011 | D4 | — | 106 | 1 | no | — |
| 1012 | D4 | — | 106 | 1 | no | — |
| 1013 | D4 | — | 106 | 2 | no | — |
| 1014 | D4 | — | 424 | 1 | no | — |
| 1015 | D4 | — | 424 | 2 | no | — |
| 1016 | D4 | — | 212 | 2 | no | — |
| 1017 | D4 | — | 212 | 4 | no | — |
| 1018 | D4 | — | 212 | 4 | no | — |
| 1019 | D4 | — | 212 | 2 | no | — |
| 1020 | D4 | — | 212 | 2 | no | — |
| 1021 | D4 | — | 212 | 2 | no | — |
| 1022 | D4 | — | 212 | 1 | no | — |
| 1023 | D4 | — | 212 | 1 | no | — |
| 1024 | D4 | — | 212 | 1 | no | — |
| 1025 | D4 | — | 212 | 1 | no | — |
| 1026 | D4 | #13133185 | 1 | 2 | yes | — |
| 1027 | C2×C4 | — | 2 | 1 | no | — |
| 1028 | C2×C4 | — | 2 | 2 | no | — |
| 1029 | C2×C4 | — | 2 | 2 | no | — |
| 1030 | C2×C4 | — | 2 | 2 | no | — |
| 1031 | C2×C4 | — | 2 | 1 | no | — |
| 1032 | C2×C4 | — | 2 | 2 | no | — |
| 1033 | C2×C4 | — | 2 | 2 | no | — |
| 1034 | C2×C4 | — | 2 | 2 | no | — |
| 1035 | C2×C4 | — | 2 | 2 | no | — |
| 1036 | C2×C4 | — | 4 | 4 | no | — |
| 1037 | C2×C4 | — | 4 | 1 | no | — |
| 1038 | C2×C4 | — | 4 | 4 | no | — |
| 1039 | C2×C4 | — | 4 | 1 | no | — |
| 1040 | C2×C4 | — | 4 | 1 | no | — |
| 1041 | C2×C4 | — | 4 | 1 | no | — |
| 1042 | C2×C4 | — | 4 | 1 | no | — |
| 1043 | C2×C4 | — | 4 | 1 | no | — |
| 1044 | C2×C4 | — | 53 | 1 | no | — |
| 1045 | C2×C4 | — | 53 | 1 | no | — |
| 1046 | C2×C4 | — | 106 | 1 | no | — |
| 1047 | C2×C4 | — | 106 | 1 | no | — |
| 1048 | C2×C4 | — | 106 | 1 | no | — |
| 1049 | C2×C4 | — | 106 | 1 | no | — |
| 1050 | C2×C4 | — | 106 | 1 | no | — |
| 1051 | C2×C4 | — | 106 | 1 | no | — |
| 1052 | C2×C4 | — | 106 | 1 | no | — |
| 1053 | C2×C4 | — | 106 | 1 | no | — |
| 1054 | C2×C4 | — | 106 | 1 | no | — |
| 1055 | C2×C4 | — | 106 | 1 | no | — |
| 1056 | C2×C4 | — | 106 | 1 | no | — |
| 1057 | C2×C4 | — | 106 | 1 | no | — |
| 1058 | C2×C4 | — | 106 | 2 | no | — |
| 1059 | C2×C4 | — | 106 | 1 | no | — |
| 1060 | C2×C4 | — | 424 | 2 | no | — |
| 1061 | C2×C4 | — | 212 | 2 | no | — |
| 1062 | C2×C4 | — | 212 | 2 | no | — |
| 1063 | C2×C4 | — | 212 | 4 | no | — |
| 1064 | C2×C4 | — | 212 | 4 | no | — |
| 1065 | C2×C4 | — | 212 | 2 | no | — |
| 1066 | C2×C4 | — | 212 | 1 | no | — |
| 1067 | C2×C4 | — | 212 | 1 | no | — |
| 1068 | C2×C4 | — | 212 | 1 | no | — |
| 1069 | C2×C4 | — | 212 | 1 | no | — |
| 1070 | C2×C4 | — | 212 | 1 | no | — |
| 1071 | C2×C4 | — | 212 | 2 | no | — |
| 1072 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1073 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1074 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1075 | C2×C4 | C22×C22⋊D53 | 1 | 1 | yes | characteristic |
| 1076 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 1077 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 1078 | C8 | — | 2 | 2 | no | — |
| 1079 | C8 | — | 4 | 1 | no | — |
| 1080 | C8 | — | 106 | 2 | no | — |
| 1081 | C8 | — | 212 | 1 | no | — |
| 1082 | C22 | — | 2 | 1 | no | — |
| 1083 | C22 | — | 2 | 1 | no | — |
| 1084 | C22 | — | 2 | 2 | no | — |
| 1085 | C22 | — | 4 | 1 | no | — |
| 1086 | C22 | — | 4 | 1 | no | — |
| 1087 | C22 | — | 4 | 1 | no | — |
| 1088 | C22 | — | 4 | 1 | no | — |
| 1089 | C22 | — | 4 | 1 | no | — |
| 1090 | C22 | — | 106 | 1 | no | — |
| 1091 | C22 | — | 106 | 1 | no | — |
| 1092 | C22 | — | 106 | 1 | no | — |
| 1093 | C22 | — | 106 | 1 | no | — |
| 1094 | C22 | — | 106 | 1 | no | — |
| 1095 | C22 | — | 106 | 1 | no | — |
| 1096 | C22 | — | 424 | 2 | no | — |
| 1097 | C22 | — | 424 | 1 | no | — |
| 1098 | C22 | — | 424 | 1 | no | — |
| 1099 | C22 | — | 424 | 4 | no | — |
| 1100 | C22 | — | 424 | 1 | no | — |
| 1101 | C22 | — | 424 | 1 | no | — |
| 1102 | C22 | — | 212 | 4 | no | — |
| 1103 | C22 | — | 212 | 1 | no | — |
| 1104 | C22 | — | 212 | 2 | no | — |
| 1105 | C22 | — | 212 | 1 | no | — |
| 1106 | C22 | — | 212 | 1 | no | — |
| 1107 | C22 | #120×D53 | 1 | 1 | yes | characteristic |
| 1108 | C22 | #16811255 | 1 | 1 | yes | characteristic |
| 1109 | C22 | D4×C22⋊D53 | 1 | 1 | yes | characteristic |
| 1110 | C4 | — | 2 | 2 | no | — |
| 1111 | C4 | — | 4 | 2 | no | — |
| 1112 | C4 | — | 4 | 2 | no | — |
| 1113 | C4 | — | 4 | 1 | no | — |
| 1114 | C4 | — | 4 | 2 | no | — |
| 1115 | C4 | — | 106 | 1 | no | — |
| 1116 | C4 | — | 106 | 1 | no | — |
| 1117 | C4 | — | 424 | 1 | no | — |
| 1118 | C4 | — | 212 | 1 | no | — |
| 1119 | C4 | — | 212 | 1 | no | — |
| 1120 | C4 | — | 212 | 2 | no | — |
| 1121 | C4 | — | 212 | 1 | no | — |
| 1122 | C4 | C2×#13133185 | 1 | 1 | yes | characteristic |
| 1123 | C4 | #16811183 | 1 | 1 | yes | characteristic |
| 1124 | C4 | #16811255 | 1 | 1 | yes | characteristic |
| 1125 | C4 | D4×C22⋊D53 | 1 | 1 | yes | characteristic |
| 1126 | C2 | — | 2 | 1 | no | — |
| 1127 | C2 | — | 2 | 1 | no | — |
| 1128 | C2 | — | 4 | 2 | no | — |
| 1129 | C2 | — | 8 | 1 | no | — |
| 1130 | C2 | — | 424 | 2 | no | — |
| 1131 | C2 | — | 424 | 1 | no | — |
| 1132 | C2 | — | 212 | 1 | no | — |
| 1133 | C2 | — | 212 | 1 | no | — |
| 1134 | C2 | #20278026 | 1 | 1 | yes | characteristic |
| 1135 | C2 | #20284067 | 1 | 1 | yes | characteristic |
| 1136 | C2 | #20284080 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#16811422 | C2 | semidirect |
| 2. #20288388 | C2 | semidirect |
| 3. C2×#16810796 | C2 | semidirect |
| 4. #20283956 | C2 | semidirect |
| 5. #20278340 | C2 | semidirect |
| 6. #20275760 | C2 | semidirect |
| 7. #20275758 | C2 | semidirect |
| 8. #20275751 | C2 | semidirect |
| 9. #20275739 | C2 | semidirect |
| 10. #20275180 | C2 | semidirect |
| 11. #20275089 | C2 | semidirect |
| 12. #20275086 | C2 | semidirect |
| 13. #20275014 | C2 | semidirect |
| 14. #20274657 | C2 | semidirect |
| 15. C2×C53×#456 | C2 | semidirect |
| 25. C2×#13133242 | C22 | semidirect |
| 39. C2×#13133206 | C22 | semidirect |
| 52. C2×#13133144 | C22 | semidirect |
| 54. #16810632 | C22 | semidirect |
| 55. #16810629 | C22 | semidirect |
| 56. C2×#13133136 | C22 | semidirect |
| 59. #16810530 | C22 | semidirect |
| 60. #16810525 | C22 | semidirect |
| 63. #16810391 | C22 | semidirect |
| 64. #16810391 | C22 | semidirect |
| 65. #16810384 | C22 | semidirect |
| 66. #16810383 | C22 | semidirect |
| 69. C2×#137×C53 | C22 | semidirect |
| 70. C2×C4⋊Q8×C53 | C22 | semidirect |
| 73. C2×#104×C53 | C22 | semidirect |
| 74. C2×#101×C53 | C22 | semidirect |
| 109. #13133242 | D4 | semidirect |
| 208. #137×C53 | D4 | semidirect |
| 560. C2×#456 | D53 | semidirect |
| 592. C2×#137 | C2×D53 | semidirect |
| 610. C2×C4⋊Q8 | C2×D53 | semidirect |
| 628. C2×#104 | C2×D53 | semidirect |
| 632. C2×#101 | C2×D53 | semidirect |
| 643. C53 | #23881 | semidirect |
| 688. #137 | C22⋊D53 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16811422 | 2 |
| #20288388 | 2 |
| C2×#16810796 | 2 |
| #20283956 | 2 |
| #20278340 | 2 |
| #20275760 | 2 |
| #20275758 | 2 |
| #20275751 | 2 |
| #20275739 | 2 |
| #20275180 | 2 |
| #20275089 | 2 |
| #20275086 | 2 |
| #20275014 | 2 |
| #20274657 | 2 |
| C2×C53×#456 | 2 |
| #23881 | 53 |