Finite Group DatabasebetaFinite Group DatabasebetaOrder 13568.
4764 conjugacy classes of subgroups.
The subgroup lattice has 1344 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#16811458 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #575×D53 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #20288046 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20284090 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #20284083 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #20284081 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #20284077 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #20284075 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20284072 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20284071 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20284065 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #20284060 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #421×D53 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | C2×#16810604 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#3019 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16811458 | — | 2 | 2 | no | — |
| 17 | #16811458 | — | 2 | 2 | no | — |
| 18 | #16811458 | — | 2 | 4 | no | — |
| 19 | #16811458 | — | 2 | 4 | no | — |
| 20 | #16811458 | C22 | 1 | 4 | yes | — |
| 21 | #16811458 | C22 | 1 | 4 | yes | complemented |
| 22 | C2×#13133264 | — | 2 | 2 | no | — |
| 23 | C2×#13133264 | C22 | 1 | 2 | yes | complemented |
| 24 | C2×#13133262 | — | 2 | 2 | no | — |
| 25 | C2×#13133262 | — | 2 | 2 | no | — |
| 26 | C2×#13133262 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C22×#11719947 | — | 2 | 2 | no | — |
| 28 | C22×#11719947 | — | 2 | 2 | no | — |
| 29 | C22×#11719947 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#41×D53 | — | 2 | 2 | no | — |
| 31 | C2×#41×D53 | C22 | 1 | 2 | yes | — |
| 32 | C2×#41×D53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #16811423 | C22 | 1 | 2 | yes | complemented |
| 34 | #16811422 | — | 2 | 2 | no | — |
| 35 | #16811422 | C22 | 1 | 4 | yes | complemented |
| 36 | #16811421 | C22 | 1 | 2 | yes | complemented |
| 37 | #16811421 | C22 | 1 | 2 | yes | complemented |
| 38 | #16811420 | — | 2 | 4 | no | — |
| 39 | #16811419 | — | 2 | 2 | no | — |
| 40 | #16811419 | C22 | 1 | 4 | yes | complemented |
| 41 | #137×D53 | — | 2 | 2 | no | — |
| 42 | #137×D53 | C22 | 1 | 4 | yes | complemented |
| 43 | AGL(1,ℤ/8)×D53 | — | 2 | 2 | no | — |
| 44 | AGL(1,ℤ/8)×D53 | C22 | 1 | 4 | yes | complemented |
| 45 | #135×D53 | — | 2 | 4 | no | — |
| 46 | C2×M16×D53 | C22 | 1 | 2 | yes | complemented |
| 47 | #16811202 | — | 2 | 2 | no | — |
| 48 | #16811199 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #16811194 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #16811193 | C22 | 1 | 2 | yes | complemented |
| 51 | #16811190 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #16811186 | C22 | 1 | 2 | yes | complemented |
| 53 | #16811183 | — | 2 | 2 | no | — |
| 54 | #16811172 | C22 | 1 | 2 | yes | complemented |
| 55 | #16811171 | C22 | 1 | 2 | yes | complemented |
| 56 | #16811133 | — | 2 | 2 | no | — |
| 57 | #16811129 | — | 2 | 2 | no | — |
| 58 | #117×D53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #16810807 | C22 | 1 | 8 | yes | complemented |
| 60 | #16810804 | C22 | 1 | 8 | yes | complemented |
| 61 | #16810803 | C22 | 1 | 4 | yes | complemented |
| 62 | #16810801 | C22 | 1 | 4 | yes | complemented |
| 63 | #16810800 | C22 | 1 | 4 | yes | complemented |
| 64 | #16810797 | C22 | 1 | 8 | yes | complemented |
| 65 | #16810794 | C22 | 1 | 8 | yes | complemented |
| 66 | #16810793 | C22 | 1 | 4 | yes | complemented |
| 67 | #16810791 | C22 | 1 | 4 | yes | complemented |
| 68 | #16810790 | C22 | 1 | 4 | yes | complemented |
| 69 | #16810641 | C22 | 1 | 2 | yes | complemented |
| 70 | #16810640 | C22 | 1 | 2 | yes | complemented |
| 71 | #16810639 | C22 | 1 | 2 | yes | complemented |
| 72 | #16810638 | C22 | 1 | 8 | yes | complemented |
| 73 | #104×D53 | C22 | 1 | 8 | yes | complemented |
| 74 | #16810604 | C22 | 1 | 4 | yes | complemented |
| 75 | #16810604 | C22 | 1 | 4 | yes | complemented |
| 76 | C2×#13133135 | C22 | 1 | 2 | yes | complemented |
| 77 | C2×#13133134 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | C2×H(5,𝔽2)×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 79 | C53×#575 | C22 | 1 | 2 | yes | complemented |
| 80 | C53×#535 | C22 | 1 | 1 | yes | characteristic, complemented |
| 81 | C53×#455 | C22 | 1 | 4 | yes | complemented |
| 82 | C53×#453 | C22 | 1 | 4 | yes | complemented |
| 83 | C53×#421 | C22 | 1 | 2 | yes | complemented |
| 84 | C2×#100×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 85 | #13133264 | — | 2 | 8 | no | — |
| 86 | #13133264 | — | 2 | 8 | no | — |
| 87 | #13133264 | — | 2 | 4 | no | — |
| 88 | #13133264 | — | 2 | 8 | no | — |
| 89 | #13133264 | — | 2 | 8 | no | — |
| 90 | #13133264 | — | 2 | 4 | no | — |
| 91 | #13133264 | — | 2 | 4 | no | — |
| 92 | #13133264 | C23 | 1 | 8 | yes | — |
| 93 | #13133262 | — | 2 | 16 | no | — |
| 94 | #13133262 | — | 2 | 8 | no | — |
| 95 | #13133262 | — | 2 | 8 | no | — |
| 96 | #13133262 | — | 2 | 2 | no | — |
| 97 | #13133262 | — | 2 | 8 | no | — |
| 98 | #13133262 | — | 2 | 8 | no | — |
| 99 | #13133262 | — | 2 | 8 | no | — |
| 100 | #13133262 | — | 2 | 8 | no | — |
| 101 | #13133262 | — | 2 | 4 | no | — |
| 102 | #13133262 | C23 | 1 | 4 | yes | — |
| 103 | C2×#11719949 | D4 | 1 | 2 | yes | complemented |
| 104 | C2×#11719949 | C23 | 1 | 1 | yes | characteristic, complemented |
| 105 | C2×#11719945 | — | 2 | 4 | no | — |
| 106 | C2×#11719945 | — | 2 | 2 | no | — |
| 107 | C2×#11719945 | — | 2 | 2 | no | — |
| 108 | C2×#11719945 | — | 2 | 1 | no | — |
| 109 | C2×#11719945 | C23 | 1 | 2 | yes | — |
| 110 | C2×#11719945 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×#11719947 | — | 2 | 4 | no | — |
| 112 | C2×#11719947 | — | 2 | 4 | no | — |
| 113 | C2×#11719947 | — | 2 | 4 | no | — |
| 114 | C2×#11719947 | — | 2 | 8 | no | — |
| 115 | C2×#11719947 | — | 2 | 8 | no | — |
| 116 | C2×#11719947 | — | 2 | 8 | no | — |
| 117 | C2×#11719947 | — | 2 | 8 | no | — |
| 118 | C2×#11719947 | — | 2 | 2 | no | — |
| 119 | C2×#11719947 | — | 2 | 2 | no | — |
| 120 | C2×#11719947 | — | 2 | 4 | no | — |
| 121 | C2×#11719947 | — | 2 | 8 | no | — |
| 122 | C2×#11719947 | — | 2 | 8 | no | — |
| 123 | C2×#11719947 | — | 2 | 8 | no | — |
| 124 | C2×#11719947 | — | 2 | 8 | no | — |
| 125 | C2×#11719947 | — | 2 | 1 | no | — |
| 126 | C2×#11719947 | — | 2 | 2 | no | — |
| 127 | C2×#11719947 | — | 2 | 2 | no | — |
| 128 | C2×#11719947 | — | 2 | 2 | no | — |
| 129 | C2×#11719947 | — | 2 | 2 | no | — |
| 130 | C2×#11719947 | — | 2 | 2 | no | — |
| 131 | C2×#11719947 | D4 | 1 | 2 | yes | — |
| 132 | C2×#11719947 | D4 | 1 | 2 | yes | — |
| 133 | C2×#11719947 | D4 | 1 | 2 | yes | complemented |
| 134 | C2×#11719947 | C23 | 1 | 2 | yes | — |
| 135 | C2×#11719947 | C23 | 1 | 2 | yes | — |
| 136 | C2×#11719947 | C23 | 1 | 1 | yes | characteristic, complemented |
| 137 | #41×D53 | — | 2 | 8 | no | — |
| 138 | #41×D53 | — | 2 | 8 | no | — |
| 139 | #41×D53 | — | 2 | 8 | no | — |
| 140 | #41×D53 | — | 2 | 8 | no | — |
| 141 | #41×D53 | — | 2 | 2 | no | — |
| 142 | #41×D53 | — | 2 | 2 | no | — |
| 143 | #41×D53 | — | 2 | 2 | no | — |
| 144 | #41×D53 | — | 2 | 2 | no | — |
| 145 | #41×D53 | — | 2 | 2 | no | — |
| 146 | #41×D53 | — | 2 | 2 | no | — |
| 147 | #41×D53 | — | 2 | 2 | no | — |
| 148 | #41×D53 | — | 2 | 2 | no | — |
| 149 | #41×D53 | D4 | 1 | 4 | yes | complemented |
| 150 | #41×D53 | D4 | 1 | 4 | yes | complemented |
| 151 | #41×D53 | C23 | 1 | 4 | yes | — |
| 152 | #41×D53 | C23 | 1 | 4 | yes | — |
| 153 | C22×Dic106 | — | 2 | 2 | no | — |
| 154 | C22×Dic106 | — | 2 | 2 | no | — |
| 155 | C22×Dic106 | C23 | 1 | 1 | yes | characteristic |
| 156 | C2×Q8×D53 | — | 2 | 2 | no | — |
| 157 | C2×Q8×D53 | D4 | 1 | 2 | yes | complemented |
| 158 | C2×Q8×D53 | C23 | 1 | 1 | yes | characteristic, complemented |
| 159 | C22×C22⋊D53 | — | 2 | 4 | no | — |
| 160 | C22×C22⋊D53 | — | 2 | 2 | no | — |
| 161 | C22×C22⋊D53 | — | 2 | 2 | no | — |
| 162 | C22×C22⋊D53 | D4 | 1 | 2 | yes | — |
| 163 | C2×D4×D53 | — | 2 | 4 | no | — |
| 164 | C2×D4×D53 | — | 2 | 2 | no | — |
| 165 | C2×D4×D53 | — | 2 | 1 | no | — |
| 166 | C2×D4×D53 | — | 2 | 2 | no | — |
| 167 | C2×D4×D53 | D4 | 1 | 2 | yes | complemented |
| 168 | C2×D4×D53 | C23 | 1 | 1 | yes | characteristic, complemented |
| 169 | C23×Dic53 | — | 2 | 2 | no | — |
| 170 | C23×Dic53 | D4 | 1 | 2 | yes | — |
| 171 | C22×C4×D53 | — | 2 | 2 | no | — |
| 172 | C22×C4×D53 | — | 2 | 2 | no | — |
| 173 | C22×C4×D53 | — | 2 | 1 | no | — |
| 174 | C22×C4×D53 | C23 | 1 | 1 | yes | characteristic |
| 175 | #13133250 | — | 2 | 2 | no | — |
| 176 | #13133250 | C23 | 1 | 4 | yes | complemented |
| 177 | #13133249 | — | 2 | 4 | no | — |
| 178 | #13133249 | — | 2 | 4 | no | — |
| 179 | #13133248 | — | 2 | 2 | no | — |
| 180 | #13133248 | C23 | 1 | 4 | yes | complemented |
| 181 | #13133247 | — | 2 | 2 | no | — |
| 182 | #13133247 | C23 | 1 | 4 | yes | complemented |
| 183 | #13133246 | — | 2 | 4 | no | — |
| 184 | #13133246 | — | 2 | 4 | no | — |
| 185 | #13133245 | — | 2 | 2 | no | — |
| 186 | #13133245 | C23 | 1 | 4 | yes | complemented |
| 187 | #13133244 | — | 2 | 4 | no | — |
| 188 | #13133244 | — | 2 | 4 | no | — |
| 189 | #13133243 | — | 2 | 2 | no | — |
| 190 | #13133243 | C23 | 1 | 4 | yes | complemented |
| 191 | #13133242 | — | 2 | 2 | no | — |
| 192 | #13133242 | C23 | 1 | 4 | yes | complemented |
| 193 | #13133241 | — | 2 | 4 | no | — |
| 194 | #13133241 | — | 2 | 4 | no | — |
| 195 | #13133240 | — | 2 | 4 | no | — |
| 196 | #13133239 | — | 2 | 4 | no | — |
| 197 | #13133238 | — | 2 | 4 | no | — |
| 198 | #13133238 | — | 2 | 4 | no | — |
| 199 | #13133237 | — | 2 | 4 | no | — |
| 200 | #13133237 | — | 2 | 4 | no | — |
| 201 | #13133236 | — | 2 | 4 | no | — |
| 202 | Q16×D53 | — | 2 | 4 | no | — |
| 203 | SD16×D53 | — | 2 | 4 | no | — |
| 204 | SD16×D53 | — | 2 | 4 | no | — |
| 205 | D8×D53 | — | 2 | 4 | no | — |
| 206 | C2×#11719917 | C23 | 1 | 2 | yes | — |
| 207 | C2×#11719912 | — | 2 | 2 | no | — |
| 208 | M16×D53 | — | 2 | 2 | no | — |
| 209 | M16×D53 | — | 2 | 2 | no | — |
| 210 | M16×D53 | C23 | 1 | 4 | yes | complemented |
| 211 | M16×D53 | C23 | 1 | 4 | yes | complemented |
| 212 | C2×C8×D53 | — | 2 | 2 | no | — |
| 213 | #13133217 | C23 | 1 | 2 | yes | complemented |
| 214 | #13133215 | C23 | 1 | 2 | yes | complemented |
| 215 | #13133213 | C23 | 1 | 2 | yes | complemented |
| 216 | #13133205 | C23 | 1 | 2 | yes | complemented |
| 217 | #13133204 | C23 | 1 | 2 | yes | complemented |
| 218 | #13133204 | C23 | 1 | 2 | yes | complemented |
| 219 | #13133201 | — | 2 | 2 | no | — |
| 220 | #13133199 | — | 2 | 4 | no | — |
| 221 | #13133198 | — | 2 | 2 | no | — |
| 222 | #13133197 | — | 2 | 2 | no | — |
| 223 | #13133196 | — | 2 | 2 | no | — |
| 224 | #13133194 | — | 2 | 4 | no | — |
| 225 | #13133190 | — | 2 | 4 | no | — |
| 226 | #13133189 | — | 2 | 4 | no | — |
| 227 | #13133188 | — | 2 | 2 | no | — |
| 228 | #13133188 | — | 2 | 4 | no | — |
| 229 | #13133186 | — | 2 | 2 | no | — |
| 230 | #13133185 | — | 2 | 4 | no | — |
| 231 | D4×Dic53 | — | 2 | 4 | no | — |
| 232 | #13133177 | — | 2 | 4 | no | — |
| 233 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 234 | #13133175 | — | 2 | 1 | no | — |
| 235 | #13133174 | C23 | 1 | 2 | yes | complemented |
| 236 | #13133173 | — | 2 | 1 | no | — |
| 237 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 238 | C22⋊C4×D53 | — | 2 | 1 | no | — |
| 239 | C42×D53 | C23 | 1 | 2 | yes | complemented |
| 240 | #13133145 | C23 | 1 | 8 | yes | complemented |
| 241 | #13133144 | C23 | 1 | 8 | yes | complemented |
| 242 | #13133143 | C23 | 1 | 8 | yes | complemented |
| 243 | #13133135 | C23 | 1 | 8 | yes | complemented |
| 244 | #13133134 | C23 | 1 | 4 | yes | complemented |
| 245 | H(5,𝔽2)×C53 | — | 2 | 4 | no | — |
| 246 | H(5,𝔽2)×C53 | — | 2 | 2 | no | — |
| 247 | H(5,𝔽2)×C53 | C23 | 1 | 4 | yes | — |
| 248 | C2×#41×C53 | — | 2 | 2 | no | — |
| 249 | C2×#41×C53 | C23 | 1 | 2 | yes | — |
| 250 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 251 | C22×D4×C53 | — | 2 | 2 | no | — |
| 252 | C22×D4×C53 | — | 2 | 2 | no | — |
| 253 | C22×D4×C53 | C23 | 1 | 1 | yes | characteristic |
| 254 | #137×C53 | — | 2 | 2 | no | — |
| 255 | #137×C53 | C23 | 1 | 4 | yes | complemented |
| 256 | AGL(1,ℤ/8)×C53 | — | 2 | 2 | no | — |
| 257 | AGL(1,ℤ/8)×C53 | C23 | 1 | 4 | yes | complemented |
| 258 | #135×C53 | — | 2 | 4 | no | — |
| 259 | C2×M16×C53 | C23 | 1 | 2 | yes | — |
| 260 | #127×C53 | C23 | 1 | 2 | yes | complemented |
| 261 | #124×C53 | C23 | 1 | 2 | yes | complemented |
| 262 | #121×C53 | — | 2 | 2 | no | — |
| 263 | #120×C53 | — | 2 | 2 | no | — |
| 264 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 265 | #104×C53 | C23 | 1 | 8 | yes | complemented |
| 266 | #100×C53 | C23 | 1 | 4 | yes | complemented |
| 267 | C24×C53 | — | 2 | 2 | no | — |
| 268 | C24×C53 | C2×D4 | 1 | 2 | yes | — |
| 269 | C23×D53 | — | 2 | 2 | no | — |
| 270 | C23×D53 | — | 2 | 2 | no | — |
| 271 | C23×D53 | — | 2 | 1 | no | — |
| 272 | C23×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | #41×C53 | — | 2 | 8 | no | — |
| 274 | #41×C53 | — | 2 | 8 | no | — |
| 275 | #41×C53 | — | 2 | 2 | no | — |
| 276 | #41×C53 | — | 2 | 2 | no | — |
| 277 | #41×C53 | — | 2 | 2 | no | — |
| 278 | #41×C53 | — | 2 | 2 | no | — |
| 279 | #41×C53 | C2×D4 | 1 | 4 | yes | — |
| 280 | #41×C53 | C24 | 1 | 4 | yes | — |
| 281 | C2×Q8×C53 | C2×D4 | 1 | 2 | yes | — |
| 282 | C2×Q8×C53 | C24 | 1 | 1 | yes | characteristic |
| 283 | C2×D4×C53 | — | 2 | 4 | no | — |
| 284 | C2×D4×C53 | — | 2 | 8 | no | — |
| 285 | C2×D4×C53 | — | 2 | 8 | no | — |
| 286 | C2×D4×C53 | — | 2 | 2 | no | — |
| 287 | C2×D4×C53 | — | 2 | 8 | no | — |
| 288 | C2×D4×C53 | — | 2 | 8 | no | — |
| 289 | C2×D4×C53 | — | 2 | 1 | no | — |
| 290 | C2×D4×C53 | — | 2 | 4 | no | — |
| 291 | C2×D4×C53 | — | 2 | 2 | no | — |
| 292 | C2×D4×C53 | — | 2 | 2 | no | — |
| 293 | C2×D4×C53 | C2×D4 | 1 | 2 | yes | — |
| 294 | C2×D4×C53 | C2×D4 | 1 | 2 | yes | — |
| 295 | C2×D4×C53 | C24 | 1 | 1 | yes | characteristic |
| 296 | C2×D4×C53 | C24 | 1 | 2 | yes | — |
| 297 | C22×C4×C53 | — | 2 | 2 | no | — |
| 298 | C22×C4×C53 | — | 2 | 2 | no | — |
| 299 | C22×C4×C53 | — | 2 | 1 | no | — |
| 300 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 301 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 302 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 303 | C2×C22⋊D53 | — | 2 | 8 | no | — |
| 304 | C2×C22⋊D53 | — | 2 | 16 | no | — |
| 305 | C2×C22⋊D53 | — | 2 | 16 | no | — |
| 306 | C2×C22⋊D53 | — | 2 | 8 | no | — |
| 307 | C2×C22⋊D53 | — | 2 | 8 | no | — |
| 308 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 309 | C2×C22⋊D53 | — | 2 | 8 | no | — |
| 310 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 311 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 312 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 313 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 314 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 315 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 316 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 317 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 318 | C2×C22⋊D53 | C2×D4 | 1 | 4 | yes | — |
| 319 | C2×C22⋊D53 | C2×D4 | 1 | 4 | yes | — |
| 320 | C22×Dic53 | — | 2 | 4 | no | — |
| 321 | C22×Dic53 | — | 2 | 2 | no | — |
| 322 | C22×Dic53 | — | 2 | 8 | no | — |
| 323 | C22×Dic53 | — | 2 | 8 | no | — |
| 324 | C22×Dic53 | — | 2 | 2 | no | — |
| 325 | C22×Dic53 | — | 2 | 2 | no | — |
| 326 | C22×Dic53 | — | 2 | 2 | no | — |
| 327 | C22×Dic53 | — | 2 | 2 | no | — |
| 328 | C22×Dic53 | — | 2 | 2 | no | — |
| 329 | C22×Dic53 | — | 2 | 1 | no | — |
| 330 | C22×Dic53 | C2×D4 | 1 | 4 | yes | — |
| 331 | C22×Dic53 | C2×D4 | 1 | 4 | yes | — |
| 332 | C22×Dic53 | C2×D4 | 1 | 2 | yes | — |
| 333 | C22×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 334 | #11719949 | — | 2 | 2 | no | — |
| 335 | #11719949 | — | 2 | 2 | no | — |
| 336 | #11719949 | — | 2 | 2 | no | — |
| 337 | #11719949 | — | 2 | 2 | no | — |
| 338 | #11719949 | C2×D4 | 1 | 4 | yes | — |
| 339 | #11719949 | C2×D4 | 1 | 4 | yes | — |
| 340 | Q8×D53 | — | 2 | 8 | no | — |
| 341 | Q8×D53 | — | 2 | 8 | no | — |
| 342 | Q8×D53 | — | 2 | 2 | no | — |
| 343 | Q8×D53 | — | 2 | 2 | no | — |
| 344 | Q8×D53 | — | 2 | 2 | no | — |
| 345 | Q8×D53 | — | 2 | 2 | no | — |
| 346 | Q8×D53 | C2×D4 | 1 | 4 | yes | — |
| 347 | Q8×D53 | C2×D4 | 1 | 4 | yes | — |
| 348 | #11719947 | — | 2 | 16 | no | — |
| 349 | #11719947 | — | 2 | 16 | no | — |
| 350 | #11719947 | — | 2 | 16 | no | — |
| 351 | #11719947 | — | 2 | 16 | no | — |
| 352 | #11719947 | — | 2 | 16 | no | — |
| 353 | #11719947 | — | 2 | 8 | no | — |
| 354 | #11719947 | — | 2 | 8 | no | — |
| 355 | #11719947 | — | 2 | 16 | no | — |
| 356 | #11719947 | — | 2 | 16 | no | — |
| 357 | #11719947 | — | 2 | 8 | no | — |
| 358 | #11719947 | — | 2 | 4 | no | — |
| 359 | #11719947 | — | 2 | 4 | no | — |
| 360 | #11719947 | — | 2 | 4 | no | — |
| 361 | #11719947 | — | 2 | 4 | no | — |
| 362 | #11719947 | — | 2 | 16 | no | — |
| 363 | #11719947 | — | 2 | 4 | no | — |
| 364 | #11719947 | — | 2 | 4 | no | — |
| 365 | #11719947 | — | 2 | 2 | no | — |
| 366 | #11719947 | — | 2 | 2 | no | — |
| 367 | #11719947 | — | 2 | 4 | no | — |
| 368 | #11719947 | — | 2 | 4 | no | — |
| 369 | #11719947 | — | 2 | 4 | no | — |
| 370 | #11719947 | — | 2 | 4 | no | — |
| 371 | #11719947 | — | 2 | 4 | no | — |
| 372 | #11719947 | — | 2 | 4 | no | — |
| 373 | #11719947 | — | 2 | 2 | no | — |
| 374 | #11719947 | — | 2 | 2 | no | — |
| 375 | #11719947 | — | 2 | 8 | no | — |
| 376 | #11719947 | — | 4 | 1 | no | — |
| 377 | #11719947 | — | 4 | 1 | no | — |
| 378 | #11719947 | — | 4 | 1 | no | — |
| 379 | #11719947 | — | 4 | 1 | no | — |
| 380 | #11719947 | C2×D4 | 1 | 4 | yes | — |
| 381 | #11719947 | C2×D4 | 1 | 4 | yes | — |
| 382 | D4×D53 | — | 2 | 16 | no | — |
| 383 | D4×D53 | — | 2 | 16 | no | — |
| 384 | D4×D53 | — | 2 | 8 | no | — |
| 385 | D4×D53 | — | 2 | 4 | no | — |
| 386 | D4×D53 | — | 2 | 4 | no | — |
| 387 | D4×D53 | — | 2 | 4 | no | — |
| 388 | D4×D53 | — | 2 | 4 | no | — |
| 389 | D4×D53 | — | 2 | 8 | no | — |
| 390 | D4×D53 | — | 2 | 2 | no | — |
| 391 | D4×D53 | — | 2 | 2 | no | — |
| 392 | D4×D53 | — | 2 | 2 | no | — |
| 393 | D4×D53 | — | 2 | 2 | no | — |
| 394 | D4×D53 | — | 4 | 2 | no | — |
| 395 | D4×D53 | — | 4 | 2 | no | — |
| 396 | D4×D53 | C2×D4 | 1 | 4 | yes | — |
| 397 | D4×D53 | C2×D4 | 1 | 4 | yes | — |
| 398 | #11719945 | — | 2 | 16 | no | — |
| 399 | #11719945 | — | 2 | 16 | no | — |
| 400 | #11719945 | — | 2 | 8 | no | — |
| 401 | #11719945 | — | 2 | 2 | no | — |
| 402 | #11719945 | — | 2 | 2 | no | — |
| 403 | #11719945 | — | 2 | 8 | no | — |
| 404 | #11719945 | — | 2 | 4 | no | — |
| 405 | #11719945 | — | 2 | 4 | no | — |
| 406 | #11719945 | — | 2 | 4 | no | — |
| 407 | #11719945 | — | 2 | 4 | no | — |
| 408 | #11719945 | — | 2 | 2 | no | — |
| 409 | #11719945 | — | 2 | 2 | no | — |
| 410 | #11719945 | — | 4 | 2 | no | — |
| 411 | #11719945 | — | 4 | 2 | no | — |
| 412 | #11719945 | C2×D4 | 1 | 4 | yes | — |
| 413 | #11719945 | C24 | 1 | 4 | yes | — |
| 414 | C2×D212 | — | 2 | 2 | no | — |
| 415 | C2×D212 | — | 2 | 1 | no | — |
| 416 | C2×D212 | C2×D4 | 1 | 2 | yes | — |
| 417 | C2×D212 | C24 | 1 | 1 | yes | characteristic |
| 418 | C2×C4×D53 | — | 2 | 4 | no | — |
| 419 | C2×C4×D53 | — | 2 | 8 | no | — |
| 420 | C2×C4×D53 | — | 2 | 8 | no | — |
| 421 | C2×C4×D53 | — | 2 | 2 | no | — |
| 422 | C2×C4×D53 | — | 2 | 2 | no | — |
| 423 | C2×C4×D53 | — | 2 | 2 | no | — |
| 424 | C2×C4×D53 | — | 2 | 4 | no | — |
| 425 | C2×C4×D53 | — | 2 | 4 | no | — |
| 426 | C2×C4×D53 | — | 2 | 4 | no | — |
| 427 | C2×C4×D53 | — | 2 | 4 | no | — |
| 428 | C2×C4×D53 | — | 2 | 1 | no | — |
| 429 | C2×C4×D53 | — | 2 | 1 | no | — |
| 430 | C2×C4×D53 | — | 2 | 1 | no | — |
| 431 | C2×C4×D53 | — | 2 | 2 | no | — |
| 432 | C2×C4×D53 | — | 4 | 2 | no | — |
| 433 | C2×C4×D53 | — | 4 | 2 | no | — |
| 434 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 435 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 436 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 437 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 438 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 439 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 440 | C2×C4×D53 | C24 | 1 | 1 | yes | characteristic |
| 441 | C2×C4×D53 | C24 | 1 | 1 | yes | characteristic |
| 442 | C2×Dic106 | — | 2 | 4 | no | — |
| 443 | C2×Dic106 | — | 2 | 8 | no | — |
| 444 | C2×Dic106 | — | 2 | 8 | no | — |
| 445 | C2×Dic106 | — | 2 | 8 | no | — |
| 446 | C2×Dic106 | — | 2 | 2 | no | — |
| 447 | C2×Dic106 | — | 2 | 2 | no | — |
| 448 | C2×Dic106 | — | 2 | 2 | no | — |
| 449 | C2×Dic106 | — | 2 | 8 | no | — |
| 450 | C2×Dic106 | — | 2 | 1 | no | — |
| 451 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 452 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 453 | C2×Dic106 | C24 | 1 | 1 | yes | characteristic |
| 454 | C2×Dic106 | C24 | 1 | 2 | yes | — |
| 455 | Q16×C53 | — | 2 | 4 | no | — |
| 456 | SD16×C53 | — | 2 | 4 | no | — |
| 457 | SD16×C53 | — | 2 | 4 | no | — |
| 458 | D8×C53 | — | 2 | 4 | no | — |
| 459 | M16×C53 | — | 2 | 2 | no | — |
| 460 | M16×C53 | C24 | 1 | 4 | yes | — |
| 461 | C2×C8×C53 | — | 2 | 2 | no | — |
| 462 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 463 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 464 | C22⋊C4×C53 | — | 2 | 4 | no | — |
| 465 | C42×C53 | C24 | 1 | 2 | yes | — |
| 466 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 467 | C22⋊Dic53 | — | 2 | 4 | no | — |
| 468 | C22⋊Dic53 | — | 2 | 4 | no | — |
| 469 | #11719925 | — | 2 | 4 | no | — |
| 470 | #11719925 | — | 2 | 4 | no | — |
| 471 | #11719924 | — | 2 | 4 | no | — |
| 472 | #11719924 | — | 2 | 4 | no | — |
| 473 | #11719923 | — | 2 | 4 | no | — |
| 474 | #11719923 | — | 2 | 4 | no | — |
| 475 | #11719922 | — | 2 | 4 | no | — |
| 476 | #11719922 | — | 2 | 4 | no | — |
| 477 | #11719921 | — | 2 | 2 | no | — |
| 478 | #11719921 | — | 2 | 4 | no | — |
| 479 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 480 | C4⋊Dic53 | — | 2 | 4 | no | — |
| 481 | #11719919 | — | 2 | 2 | no | — |
| 482 | #11719919 | — | 2 | 4 | no | — |
| 483 | C4×Dic53 | — | 2 | 2 | no | — |
| 484 | C4×Dic53 | C24 | 1 | 2 | yes | — |
| 485 | #11719917 | — | 2 | 2 | no | — |
| 486 | #11719917 | C24 | 1 | 4 | yes | — |
| 487 | C2×#88322 | — | 2 | 2 | no | — |
| 488 | Dic212 | — | 2 | 4 | no | — |
| 489 | D424 | — | 2 | 4 | no | — |
| 490 | #11719913 | — | 2 | 4 | no | — |
| 491 | #11719913 | — | 2 | 4 | no | — |
| 492 | #11719912 | — | 2 | 4 | no | — |
| 493 | #11719912 | — | 2 | 4 | no | — |
| 494 | C8×D53 | — | 2 | 4 | no | — |
| 495 | C8×D53 | — | 2 | 4 | no | — |
| 496 | C23×C53 | — | 2 | 8 | no | — |
| 497 | C23×C53 | — | 2 | 2 | no | — |
| 498 | C23×C53 | — | 2 | 2 | no | — |
| 499 | C23×C53 | — | 2 | 2 | no | — |
| 500 | C23×C53 | — | 2 | 1 | no | — |
| 501 | C23×C53 | — | 8 | 2 | no | — |
| 502 | C23×C53 | — | 8 | 4 | no | — |
| 503 | C23×C53 | C22×D4 | 1 | 4 | yes | — |
| 504 | C23×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 505 | C22×D53 | — | 2 | 2 | no | — |
| 506 | C22×D53 | — | 2 | 8 | no | — |
| 507 | C22×D53 | — | 2 | 4 | no | — |
| 508 | C22×D53 | — | 2 | 4 | no | — |
| 509 | C22×D53 | — | 2 | 1 | no | — |
| 510 | C22×D53 | — | 4 | 2 | no | — |
| 511 | C22×D53 | — | 8 | 1 | no | — |
| 512 | C22×D53 | — | 8 | 4 | no | — |
| 513 | C22×D53 | — | 8 | 2 | no | — |
| 514 | C22×D53 | — | 8 | 4 | no | — |
| 515 | C22×D53 | #120 | 1 | 2 | yes | — |
| 516 | C22×D53 | #120 | 1 | 2 | yes | — |
| 517 | C22×D53 | C22×D4 | 1 | 1 | yes | characteristic |
| 518 | C22×D53 | C22×D4 | 1 | 1 | yes | characteristic |
| 519 | Q8×C53 | — | 2 | 2 | no | — |
| 520 | Q8×C53 | — | 2 | 2 | no | — |
| 521 | Q8×C53 | C22×D4 | 1 | 4 | yes | — |
| 522 | D4×C53 | — | 2 | 16 | no | — |
| 523 | D4×C53 | — | 2 | 4 | no | — |
| 524 | D4×C53 | — | 2 | 4 | no | — |
| 525 | D4×C53 | — | 2 | 4 | no | — |
| 526 | D4×C53 | — | 2 | 2 | no | — |
| 527 | D4×C53 | — | 2 | 4 | no | — |
| 528 | D4×C53 | — | 2 | 2 | no | — |
| 529 | D4×C53 | — | 4 | 1 | no | — |
| 530 | D4×C53 | — | 4 | 1 | no | — |
| 531 | D4×C53 | — | 8 | 4 | no | — |
| 532 | D4×C53 | C22×D4 | 1 | 4 | yes | — |
| 533 | C2×C4×C53 | — | 2 | 8 | no | — |
| 534 | C2×C4×C53 | — | 2 | 2 | no | — |
| 535 | C2×C4×C53 | — | 2 | 4 | no | — |
| 536 | C2×C4×C53 | — | 2 | 4 | no | — |
| 537 | C2×C4×C53 | — | 2 | 1 | no | — |
| 538 | C2×C4×C53 | — | 2 | 2 | no | — |
| 539 | C2×C4×C53 | — | 4 | 2 | no | — |
| 540 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 541 | C2×C4×C53 | C22×D4 | 1 | 2 | yes | — |
| 542 | C2×C4×C53 | C22×D4 | 1 | 2 | yes | — |
| 543 | C2×C4×C53 | C25 | 1 | 1 | yes | characteristic |
| 544 | C22⋊D53 | — | 2 | 16 | no | — |
| 545 | C22⋊D53 | — | 2 | 16 | no | — |
| 546 | C22⋊D53 | — | 2 | 4 | no | — |
| 547 | C22⋊D53 | — | 2 | 4 | no | — |
| 548 | C22⋊D53 | — | 2 | 8 | no | — |
| 549 | C22⋊D53 | — | 2 | 8 | no | — |
| 550 | C22⋊D53 | — | 2 | 4 | no | — |
| 551 | C22⋊D53 | — | 2 | 4 | no | — |
| 552 | C22⋊D53 | — | 2 | 4 | no | — |
| 553 | C22⋊D53 | — | 2 | 4 | no | — |
| 554 | C22⋊D53 | — | 4 | 1 | no | — |
| 555 | C22⋊D53 | — | 4 | 1 | no | — |
| 556 | C22⋊D53 | — | 4 | 2 | no | — |
| 557 | C22⋊D53 | — | 4 | 1 | no | — |
| 558 | C22⋊D53 | — | 4 | 1 | no | — |
| 559 | C22⋊D53 | — | 8 | 4 | no | — |
| 560 | C2×Dic53 | — | 2 | 16 | no | — |
| 561 | C2×Dic53 | — | 2 | 8 | no | — |
| 562 | C2×Dic53 | — | 2 | 2 | no | — |
| 563 | C2×Dic53 | — | 2 | 2 | no | — |
| 564 | C2×Dic53 | — | 2 | 2 | no | — |
| 565 | C2×Dic53 | — | 2 | 4 | no | — |
| 566 | C2×Dic53 | — | 2 | 4 | no | — |
| 567 | C2×Dic53 | — | 2 | 4 | no | — |
| 568 | C2×Dic53 | — | 2 | 4 | no | — |
| 569 | C2×Dic53 | — | 2 | 4 | no | — |
| 570 | C2×Dic53 | — | 2 | 4 | no | — |
| 571 | C2×Dic53 | — | 2 | 1 | no | — |
| 572 | C2×Dic53 | — | 2 | 2 | no | — |
| 573 | C2×Dic53 | — | 4 | 1 | no | — |
| 574 | C2×Dic53 | — | 4 | 1 | no | — |
| 575 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 576 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 577 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 578 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 579 | C2×Dic53 | C22×D4 | 1 | 4 | yes | — |
| 580 | C2×Dic53 | C22×D4 | 1 | 1 | yes | characteristic |
| 581 | C2×Dic53 | C22×D4 | 1 | 1 | yes | characteristic |
| 582 | D212 | — | 2 | 4 | no | — |
| 583 | D212 | — | 2 | 4 | no | — |
| 584 | D212 | — | 2 | 2 | no | — |
| 585 | D212 | — | 2 | 2 | no | — |
| 586 | D212 | — | 4 | 2 | no | — |
| 587 | D212 | C22×D4 | 1 | 4 | yes | — |
| 588 | C4×D53 | — | 2 | 16 | no | — |
| 589 | C4×D53 | — | 2 | 4 | no | — |
| 590 | C4×D53 | — | 2 | 4 | no | — |
| 591 | C4×D53 | — | 2 | 4 | no | — |
| 592 | C4×D53 | — | 2 | 4 | no | — |
| 593 | C4×D53 | — | 2 | 4 | no | — |
| 594 | C4×D53 | — | 2 | 4 | no | — |
| 595 | C4×D53 | — | 4 | 2 | no | — |
| 596 | C4×D53 | — | 4 | 2 | no | — |
| 597 | C4×D53 | — | 4 | 1 | no | — |
| 598 | C4×D53 | — | 4 | 1 | no | — |
| 599 | C4×D53 | — | 8 | 2 | no | — |
| 600 | C4×D53 | #120 | 1 | 2 | yes | — |
| 601 | C4×D53 | #120 | 1 | 2 | yes | — |
| 602 | C4×D53 | #120 | 1 | 2 | yes | — |
| 603 | C4×D53 | #120 | 1 | 2 | yes | — |
| 604 | C4×D53 | C22×D4 | 1 | 2 | yes | — |
| 605 | C4×D53 | C22×D4 | 1 | 2 | yes | — |
| 606 | C4×D53 | C22×D4 | 1 | 2 | yes | — |
| 607 | C4×D53 | C22×D4 | 1 | 2 | yes | — |
| 608 | Dic106 | — | 2 | 16 | no | — |
| 609 | Dic106 | — | 2 | 4 | no | — |
| 610 | Dic106 | — | 2 | 2 | no | — |
| 611 | Dic106 | — | 2 | 4 | no | — |
| 612 | Dic106 | — | 2 | 4 | no | — |
| 613 | Dic106 | — | 2 | 4 | no | — |
| 614 | Dic106 | — | 2 | 2 | no | — |
| 615 | Dic106 | — | 4 | 1 | no | — |
| 616 | Dic106 | — | 4 | 1 | no | — |
| 617 | Dic106 | C22×D4 | 1 | 4 | yes | — |
| 618 | C8×C53 | — | 2 | 4 | no | — |
| 619 | #88322 | — | 2 | 4 | no | — |
| 620 | #60387 | — | 53 | 1 | no | maximal, Sylow |
| 621 | C22×C53 | — | 2 | 4 | no | — |
| 622 | C22×C53 | — | 2 | 4 | no | — |
| 623 | C22×C53 | — | 4 | 1 | no | — |
| 624 | C22×C53 | — | 4 | 4 | no | — |
| 625 | C22×C53 | — | 4 | 4 | no | — |
| 626 | C22×C53 | — | 4 | 4 | no | — |
| 627 | C22×C53 | — | 4 | 2 | no | — |
| 628 | C22×C53 | — | 4 | 1 | no | — |
| 629 | C22×C53 | — | 8 | 2 | no | — |
| 630 | C22×C53 | — | 8 | 8 | no | — |
| 631 | C22×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 632 | C22×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 633 | C22×C53 | C23×D4 | 1 | 1 | yes | characteristic |
| 634 | C2×D53 | — | 2 | 4 | no | — |
| 635 | C2×D53 | — | 4 | 1 | no | — |
| 636 | C2×D53 | — | 4 | 2 | no | — |
| 637 | C2×D53 | — | 4 | 1 | no | — |
| 638 | C2×D53 | — | 4 | 2 | no | — |
| 639 | C2×D53 | — | 4 | 4 | no | — |
| 640 | C2×D53 | — | 4 | 2 | no | — |
| 641 | C2×D53 | — | 4 | 1 | no | — |
| 642 | C2×D53 | — | 8 | 4 | no | — |
| 643 | C2×D53 | — | 8 | 4 | no | — |
| 644 | C2×D53 | — | 8 | 4 | no | — |
| 645 | C2×D53 | — | 8 | 8 | no | — |
| 646 | C2×D53 | C2×#120 | 1 | 2 | yes | — |
| 647 | C2×D53 | C2×#120 | 1 | 2 | yes | — |
| 648 | C4×C53 | — | 2 | 4 | no | — |
| 649 | C4×C53 | — | 4 | 2 | no | — |
| 650 | C4×C53 | — | 4 | 1 | no | — |
| 651 | C4×C53 | C2×#120 | 1 | 2 | yes | — |
| 652 | C4×C53 | C23×D4 | 1 | 2 | yes | — |
| 653 | Dic53 | — | 2 | 4 | no | — |
| 654 | Dic53 | — | 2 | 4 | no | — |
| 655 | Dic53 | — | 4 | 2 | no | — |
| 656 | Dic53 | — | 4 | 1 | no | — |
| 657 | Dic53 | C2×#120 | 1 | 1 | yes | characteristic |
| 658 | Dic53 | C2×#120 | 1 | 1 | yes | characteristic |
| 659 | Dic53 | C2×#120 | 1 | 1 | yes | characteristic |
| 660 | Dic53 | C2×#120 | 1 | 1 | yes | characteristic |
| 661 | C2×#585 | — | 53 | 1 | no | — |
| 662 | C2×#575 | — | 53 | 2 | no | — |
| 663 | #3449 | — | 53 | 1 | no | — |
| 664 | #3022 | — | 53 | 4 | no | — |
| 665 | #3021 | — | 53 | 4 | no | — |
| 666 | #3020 | — | 53 | 2 | no | — |
| 667 | #3020 | — | 53 | 2 | no | — |
| 668 | #3019 | — | 53 | 1 | no | — |
| 669 | #3019 | — | 53 | 1 | no | — |
| 670 | #3019 | — | 53 | 1 | no | — |
| 671 | #3019 | D53 | 1 | 1 | yes | characteristic, complemented |
| 672 | #3018 | — | 53 | 4 | no | — |
| 673 | #3018 | — | 53 | 4 | no | — |
| 674 | C2×#421 | — | 53 | 2 | no | — |
| 675 | C2×#413 | — | 53 | 1 | no | — |
| 676 | C2×C53 | — | 2 | 1 | no | — |
| 677 | C2×C53 | — | 2 | 1 | no | — |
| 678 | C2×C53 | — | 2 | 1 | no | — |
| 679 | C2×C53 | — | 4 | 4 | no | — |
| 680 | C2×C53 | — | 4 | 4 | no | — |
| 681 | C2×C53 | — | 8 | 1 | no | — |
| 682 | C2×C53 | C22×#120 | 1 | 1 | yes | characteristic |
| 683 | D53 | — | 2 | 2 | no | — |
| 684 | D53 | — | 2 | 2 | no | — |
| 685 | D53 | — | 4 | 4 | no | — |
| 686 | D53 | — | 8 | 1 | no | — |
| 687 | #585 | — | 53 | 4 | no | — |
| 688 | #585 | — | 53 | 4 | no | — |
| 689 | #585 | — | 106 | 2 | no | — |
| 690 | #585 | — | 106 | 2 | no | — |
| 691 | #585 | — | 106 | 4 | no | — |
| 692 | #585 | — | 106 | 4 | no | — |
| 693 | C2×2−1+4 | — | 53 | 2 | no | — |
| 694 | C2×2−1+4 | — | 106 | 2 | no | — |
| 695 | C2×H(5,𝔽2) | — | 53 | 1 | no | — |
| 696 | C2×H(5,𝔽2) | — | 106 | 2 | no | — |
| 697 | C2×H(5,𝔽2) | — | 106 | 2 | no | — |
| 698 | C2×H(5,𝔽2) | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 699 | C22×#41 | — | 53 | 1 | no | — |
| 700 | C22×#41 | — | 53 | 2 | no | — |
| 701 | C22×#41 | — | 53 | 1 | no | — |
| 702 | C22×#41 | — | 106 | 2 | no | — |
| 703 | C22×#41 | — | 106 | 2 | no | — |
| 704 | C22×#41 | — | 106 | 2 | no | — |
| 705 | #575 | — | 53 | 2 | no | — |
| 706 | #575 | — | 53 | 2 | no | — |
| 707 | #575 | — | 53 | 4 | no | — |
| 708 | #575 | — | 53 | 4 | no | — |
| 709 | #575 | — | 53 | 2 | no | — |
| 710 | #575 | — | 106 | 4 | no | — |
| 711 | #575 | — | 106 | 2 | no | — |
| 712 | #575 | — | 106 | 2 | no | — |
| 713 | #575 | C2×D53 | 1 | 2 | yes | complemented |
| 714 | C2×#137 | — | 53 | 4 | no | — |
| 715 | C2×#137 | — | 106 | 2 | no | — |
| 716 | C2×AGL(1,ℤ/8) | — | 53 | 4 | no | — |
| 717 | C2×AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 718 | C2×#135 | — | 106 | 4 | no | — |
| 719 | C22×M16 | — | 53 | 2 | no | — |
| 720 | #537 | — | 106 | 2 | no | — |
| 721 | #536 | — | 53 | 1 | no | — |
| 722 | #536 | — | 53 | 2 | no | — |
| 723 | #536 | — | 53 | 1 | no | — |
| 724 | #535 | — | 53 | 1 | no | — |
| 725 | #535 | — | 53 | 2 | no | — |
| 726 | #535 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 727 | #534 | — | 106 | 2 | no | — |
| 728 | #532 | — | 53 | 2 | no | — |
| 729 | #532 | — | 53 | 2 | no | — |
| 730 | #525 | — | 106 | 2 | no | — |
| 731 | #525 | — | 106 | 2 | no | — |
| 732 | C2×#117 | — | 53 | 1 | no | — |
| 733 | #456 | — | 53 | 8 | no | — |
| 734 | #456 | — | 53 | 8 | no | — |
| 735 | #455 | — | 53 | 4 | no | — |
| 736 | #455 | — | 53 | 4 | no | — |
| 737 | #455 | — | 53 | 4 | no | — |
| 738 | #455 | C2×D53 | 1 | 4 | yes | complemented |
| 739 | #454 | — | 53 | 8 | no | — |
| 740 | #454 | — | 53 | 8 | no | — |
| 741 | #453 | — | 53 | 4 | no | — |
| 742 | #453 | — | 53 | 4 | no | — |
| 743 | #453 | — | 53 | 4 | no | — |
| 744 | #453 | C2×D53 | 1 | 4 | yes | complemented |
| 745 | #421 | — | 53 | 2 | no | — |
| 746 | #421 | — | 53 | 2 | no | — |
| 747 | #421 | — | 53 | 2 | no | — |
| 748 | #421 | — | 53 | 8 | no | — |
| 749 | #421 | C2×D53 | 1 | 2 | yes | complemented |
| 750 | C2×#104 | — | 53 | 8 | no | — |
| 751 | #413 | — | 53 | 4 | no | — |
| 752 | #413 | — | 53 | 4 | no | — |
| 753 | C2×#101 | — | 53 | 2 | no | — |
| 754 | C2×#100 | — | 53 | 1 | no | — |
| 755 | C2×#100 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 756 | C53 | #60387 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 757 | 2−1+4 | — | 53 | 8 | no | — |
| 758 | 2−1+4 | — | 106 | 4 | no | — |
| 759 | 2−1+4 | — | 106 | 8 | no | — |
| 760 | 2−1+4 | — | 106 | 8 | no | — |
| 761 | 2−1+4 | — | 106 | 4 | no | — |
| 762 | 2−1+4 | — | 106 | 8 | no | — |
| 763 | 2−1+4 | — | 106 | 8 | no | — |
| 764 | 2−1+4 | — | 106 | 4 | no | — |
| 765 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 766 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 767 | H(5,𝔽2) | — | 53 | 4 | no | — |
| 768 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 769 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 770 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 771 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 772 | H(5,𝔽2) | — | 106 | 4 | no | — |
| 773 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 774 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 775 | H(5,𝔽2) | — | 106 | 16 | no | — |
| 776 | H(5,𝔽2) | — | 106 | 2 | no | — |
| 777 | H(5,𝔽2) | C22×D53 | 1 | 4 | yes | — |
| 778 | C2×#41 | — | 2 | 2 | no | — |
| 779 | C2×#41 | — | 53 | 2 | no | — |
| 780 | C2×#41 | — | 53 | 2 | no | — |
| 781 | C2×#41 | — | 53 | 2 | no | — |
| 782 | C2×#41 | — | 53 | 2 | no | — |
| 783 | C2×#41 | — | 53 | 4 | no | — |
| 784 | C2×#41 | — | 53 | 4 | no | — |
| 785 | C2×#41 | — | 53 | 4 | no | — |
| 786 | C2×#41 | — | 53 | 4 | no | — |
| 787 | C2×#41 | — | 53 | 2 | no | — |
| 788 | C2×#41 | — | 53 | 1 | no | — |
| 789 | C2×#41 | — | 53 | 2 | no | — |
| 790 | C2×#41 | — | 53 | 1 | no | — |
| 791 | C2×#41 | — | 53 | 2 | no | — |
| 792 | C2×#41 | — | 53 | 1 | no | — |
| 793 | C2×#41 | — | 106 | 2 | no | — |
| 794 | C2×#41 | — | 106 | 1 | no | — |
| 795 | C2×#41 | — | 106 | 2 | no | — |
| 796 | C2×#41 | — | 106 | 4 | no | — |
| 797 | C2×#41 | — | 106 | 2 | no | — |
| 798 | C2×#41 | — | 106 | 2 | no | — |
| 799 | C2×#41 | — | 106 | 2 | no | — |
| 800 | C2×#41 | — | 106 | 2 | no | — |
| 801 | C2×#41 | — | 106 | 2 | no | — |
| 802 | C2×#41 | — | 106 | 4 | no | — |
| 803 | C2×#41 | — | 106 | 8 | no | — |
| 804 | C2×#41 | — | 106 | 8 | no | — |
| 805 | C2×#41 | — | 106 | 1 | no | — |
| 806 | C2×#41 | — | 106 | 2 | no | — |
| 807 | C2×#41 | — | 106 | 2 | no | — |
| 808 | C2×#41 | — | 106 | 2 | no | — |
| 809 | C2×#41 | — | 106 | 2 | no | — |
| 810 | C2×#41 | — | 106 | 2 | no | — |
| 811 | C2×#41 | — | 106 | 2 | no | — |
| 812 | C2×#41 | — | 106 | 2 | no | — |
| 813 | C2×#41 | — | 106 | 2 | no | — |
| 814 | C2×#41 | — | 106 | 2 | no | — |
| 815 | C2×#41 | — | 106 | 8 | no | — |
| 816 | C2×#41 | — | 106 | 8 | no | — |
| 817 | C2×#41 | — | 106 | 4 | no | — |
| 818 | C2×#41 | — | 106 | 4 | no | — |
| 819 | C2×#41 | — | 106 | 4 | no | — |
| 820 | C2×#41 | — | 106 | 8 | no | — |
| 821 | C2×#41 | — | 106 | 8 | no | — |
| 822 | C2×#41 | — | 106 | 8 | no | — |
| 823 | C2×#41 | — | 106 | 8 | no | — |
| 824 | C2×#41 | — | 106 | 8 | no | — |
| 825 | C2×#41 | — | 106 | 8 | no | — |
| 826 | C2×#41 | — | 106 | 8 | no | — |
| 827 | C2×#41 | — | 106 | 8 | no | — |
| 828 | C2×#41 | — | 106 | 2 | no | — |
| 829 | C2×#41 | C22×D53 | 1 | 2 | yes | — |
| 830 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 831 | C22×Q8 | — | 53 | 1 | no | — |
| 832 | C22×Q8 | — | 53 | 2 | no | — |
| 833 | C22×Q8 | — | 53 | 1 | no | — |
| 834 | C22×Q8 | — | 106 | 2 | no | — |
| 835 | C22×Q8 | — | 106 | 2 | no | — |
| 836 | C22×Q8 | — | 106 | 2 | no | — |
| 837 | C22×D4 | — | 2 | 2 | no | — |
| 838 | C22×D4 | — | 2 | 2 | no | — |
| 839 | C22×D4 | — | 53 | 2 | no | — |
| 840 | C22×D4 | — | 53 | 2 | no | — |
| 841 | C22×D4 | — | 53 | 1 | no | — |
| 842 | C22×D4 | — | 106 | 2 | no | — |
| 843 | C22×D4 | — | 106 | 2 | no | — |
| 844 | C22×D4 | — | 106 | 4 | no | — |
| 845 | C22×D4 | — | 106 | 1 | no | — |
| 846 | C22×D4 | — | 106 | 2 | no | — |
| 847 | C22×D4 | — | 106 | 4 | no | — |
| 848 | C22×D4 | — | 106 | 2 | no | — |
| 849 | C22×D4 | C22×D53 | 1 | 1 | yes | characteristic |
| 850 | C23×C4 | — | 53 | 1 | no | — |
| 851 | C23×C4 | — | 53 | 2 | no | — |
| 852 | C23×C4 | — | 106 | 2 | no | — |
| 853 | C23×C4 | — | 106 | 1 | no | — |
| 854 | C23×C4 | — | 106 | 2 | no | — |
| 855 | C23×C4 | — | 106 | 2 | no | — |
| 856 | #137 | — | 2 | 2 | no | — |
| 857 | #137 | — | 53 | 4 | no | — |
| 858 | #137 | — | 53 | 4 | no | — |
| 859 | #137 | — | 53 | 4 | no | — |
| 860 | #137 | — | 106 | 2 | no | — |
| 861 | #137 | — | 106 | 4 | no | — |
| 862 | #137 | — | 106 | 4 | no | — |
| 863 | #137 | — | 106 | 4 | no | — |
| 864 | #137 | — | 106 | 4 | no | — |
| 865 | #137 | — | 106 | 2 | no | — |
| 866 | #137 | — | 106 | 2 | no | — |
| 867 | #137 | C22×D53 | 1 | 4 | yes | complemented |
| 868 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 869 | AGL(1,ℤ/8) | — | 53 | 4 | no | — |
| 870 | AGL(1,ℤ/8) | — | 53 | 4 | no | — |
| 871 | AGL(1,ℤ/8) | — | 53 | 4 | no | — |
| 872 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 873 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 874 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 875 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 876 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 877 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 878 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 879 | AGL(1,ℤ/8) | C22×D53 | 1 | 4 | yes | complemented |
| 880 | #135 | — | 2 | 4 | no | — |
| 881 | #135 | — | 106 | 4 | no | — |
| 882 | #135 | — | 106 | 4 | no | — |
| 883 | #135 | — | 106 | 4 | no | — |
| 884 | #135 | — | 106 | 4 | no | — |
| 885 | #135 | — | 106 | 4 | no | — |
| 886 | #135 | — | 106 | 4 | no | — |
| 887 | #135 | — | 106 | 4 | no | — |
| 888 | C2×Q16 | — | 106 | 4 | no | — |
| 889 | C2×SD16 | — | 106 | 4 | no | — |
| 890 | C2×SD16 | — | 106 | 4 | no | — |
| 891 | C2×D8 | — | 106 | 4 | no | — |
| 892 | C2×M16 | — | 53 | 2 | no | — |
| 893 | C2×M16 | — | 53 | 4 | no | — |
| 894 | C2×M16 | — | 53 | 4 | no | — |
| 895 | C2×M16 | — | 106 | 2 | no | — |
| 896 | C2×M16 | — | 106 | 2 | no | — |
| 897 | C2×M16 | — | 106 | 2 | no | — |
| 898 | C2×M16 | C22×D53 | 1 | 2 | yes | — |
| 899 | C22×C8 | — | 106 | 2 | no | — |
| 900 | C4⋊Q8 | — | 53 | 2 | no | — |
| 901 | C4⋊Q8 | — | 53 | 2 | no | — |
| 902 | #127 | — | 53 | 2 | no | — |
| 903 | #127 | C22×D53 | 1 | 2 | yes | complemented |
| 904 | #124 | — | 53 | 2 | no | — |
| 905 | #124 | — | 53 | 2 | no | — |
| 906 | #124 | — | 53 | 2 | no | — |
| 907 | #124 | C22×D53 | 1 | 2 | yes | complemented |
| 908 | #123 | — | 106 | 2 | no | — |
| 909 | #123 | — | 106 | 4 | no | — |
| 910 | #123 | — | 106 | 2 | no | — |
| 911 | C22⋊Q8 | — | 106 | 4 | no | — |
| 912 | C22⋊Q8 | — | 106 | 2 | no | — |
| 913 | C22⋊Q8 | — | 106 | 2 | no | — |
| 914 | #121 | — | 2 | 2 | no | — |
| 915 | #121 | — | 106 | 4 | no | — |
| 916 | #121 | — | 106 | 4 | no | — |
| 917 | #121 | — | 106 | 4 | no | — |
| 918 | #121 | — | 106 | 2 | no | — |
| 919 | #120 | — | 2 | 2 | no | — |
| 920 | #120 | — | 106 | 4 | no | — |
| 921 | #120 | — | 106 | 2 | no | — |
| 922 | C4×D4 | — | 106 | 4 | no | — |
| 923 | C4×D4 | — | 106 | 4 | no | — |
| 924 | #117 | — | 53 | 1 | no | — |
| 925 | #117 | — | 53 | 2 | no | — |
| 926 | #117 | — | 106 | 1 | no | — |
| 927 | #117 | — | 106 | 1 | no | — |
| 928 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 929 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 930 | C2×C22⋊C4 | — | 106 | 1 | no | — |
| 931 | C2×C42 | — | 53 | 2 | no | — |
| 932 | #104 | — | 53 | 8 | no | — |
| 933 | #104 | — | 53 | 8 | no | — |
| 934 | #104 | — | 53 | 8 | no | — |
| 935 | #104 | C22×D53 | 1 | 8 | yes | complemented |
| 936 | #101 | — | 53 | 8 | no | — |
| 937 | #100 | — | 53 | 4 | no | — |
| 938 | #100 | C22×D53 | 1 | 4 | yes | complemented |
| 939 | C24 | — | 2 | 2 | no | — |
| 940 | C24 | — | 53 | 1 | no | — |
| 941 | C24 | — | 106 | 2 | no | — |
| 942 | C24 | — | 106 | 1 | no | — |
| 943 | C24 | — | 106 | 2 | no | — |
| 944 | C24 | D4×D53 | 1 | 2 | yes | — |
| 945 | #41 | — | 2 | 8 | no | — |
| 946 | #41 | — | 2 | 8 | no | — |
| 947 | #41 | — | 2 | 2 | no | — |
| 948 | #41 | — | 2 | 2 | no | — |
| 949 | #41 | — | 2 | 2 | no | — |
| 950 | #41 | — | 2 | 2 | no | — |
| 951 | #41 | — | 53 | 4 | no | — |
| 952 | #41 | — | 53 | 4 | no | — |
| 953 | #41 | — | 53 | 4 | no | — |
| 954 | #41 | — | 53 | 4 | no | — |
| 955 | #41 | — | 53 | 4 | no | — |
| 956 | #41 | — | 53 | 4 | no | — |
| 957 | #41 | — | 106 | 4 | no | — |
| 958 | #41 | — | 106 | 4 | no | — |
| 959 | #41 | — | 106 | 4 | no | — |
| 960 | #41 | — | 106 | 4 | no | — |
| 961 | #41 | — | 106 | 8 | no | — |
| 962 | #41 | — | 106 | 16 | no | — |
| 963 | #41 | — | 106 | 16 | no | — |
| 964 | #41 | — | 106 | 8 | no | — |
| 965 | #41 | — | 106 | 4 | no | — |
| 966 | #41 | — | 106 | 4 | no | — |
| 967 | #41 | — | 106 | 4 | no | — |
| 968 | #41 | — | 106 | 4 | no | — |
| 969 | #41 | — | 106 | 4 | no | — |
| 970 | #41 | — | 106 | 2 | no | — |
| 971 | #41 | — | 106 | 4 | no | — |
| 972 | #41 | — | 106 | 2 | no | — |
| 973 | #41 | — | 106 | 4 | no | — |
| 974 | #41 | — | 106 | 4 | no | — |
| 975 | #41 | — | 106 | 4 | no | — |
| 976 | #41 | — | 106 | 4 | no | — |
| 977 | #41 | — | 106 | 4 | no | — |
| 978 | #41 | — | 106 | 4 | no | — |
| 979 | #41 | — | 106 | 16 | no | — |
| 980 | #41 | — | 106 | 2 | no | — |
| 981 | #41 | — | 106 | 2 | no | — |
| 982 | #41 | — | 106 | 2 | no | — |
| 983 | #41 | — | 106 | 2 | no | — |
| 984 | #41 | — | 106 | 2 | no | — |
| 985 | #41 | — | 106 | 2 | no | — |
| 986 | #41 | — | 106 | 8 | no | — |
| 987 | #41 | — | 106 | 16 | no | — |
| 988 | #41 | — | 106 | 16 | no | — |
| 989 | #41 | — | 106 | 16 | no | — |
| 990 | #41 | — | 106 | 16 | no | — |
| 991 | #41 | — | 106 | 16 | no | — |
| 992 | #41 | — | 106 | 16 | no | — |
| 993 | #41 | — | 106 | 16 | no | — |
| 994 | #41 | — | 106 | 8 | no | — |
| 995 | #41 | — | 106 | 8 | no | — |
| 996 | #41 | — | 106 | 8 | no | — |
| 997 | #41 | — | 106 | 2 | no | — |
| 998 | #41 | — | 106 | 2 | no | — |
| 999 | #41 | — | 106 | 2 | no | — |
| 1000 | #41 | — | 106 | 2 | no | — |
| 1001 | #41 | — | 212 | 2 | no | — |
| 1002 | #41 | — | 212 | 2 | no | — |
| 1003 | #41 | — | 212 | 1 | no | — |
| 1004 | #41 | — | 212 | 1 | no | — |
| 1005 | #41 | — | 212 | 1 | no | — |
| 1006 | #41 | — | 212 | 1 | no | — |
| 1007 | #41 | D4×D53 | 1 | 4 | yes | — |
| 1008 | #41 | C23×D53 | 1 | 4 | yes | — |
| 1009 | C2×Q8 | — | 53 | 2 | no | — |
| 1010 | C2×Q8 | — | 53 | 2 | no | — |
| 1011 | C2×Q8 | — | 53 | 4 | no | — |
| 1012 | C2×Q8 | — | 53 | 4 | no | — |
| 1013 | C2×Q8 | — | 53 | 2 | no | — |
| 1014 | C2×Q8 | — | 53 | 1 | no | — |
| 1015 | C2×Q8 | — | 106 | 2 | no | — |
| 1016 | C2×Q8 | — | 106 | 1 | no | — |
| 1017 | C2×Q8 | — | 106 | 8 | no | — |
| 1018 | C2×Q8 | — | 106 | 4 | no | — |
| 1019 | C2×Q8 | — | 106 | 8 | no | — |
| 1020 | C2×Q8 | — | 106 | 8 | no | — |
| 1021 | C2×Q8 | — | 106 | 8 | no | — |
| 1022 | C2×Q8 | — | 106 | 2 | no | — |
| 1023 | C2×Q8 | — | 106 | 2 | no | — |
| 1024 | C2×Q8 | — | 106 | 2 | no | — |
| 1025 | C2×Q8 | — | 106 | 2 | no | — |
| 1026 | C2×Q8 | — | 106 | 8 | no | — |
| 1027 | C2×Q8 | — | 106 | 8 | no | — |
| 1028 | C2×Q8 | — | 106 | 2 | no | — |
| 1029 | C2×Q8 | — | 106 | 2 | no | — |
| 1030 | C2×Q8 | D4×D53 | 1 | 2 | yes | — |
| 1031 | C2×Q8 | C23×D53 | 1 | 1 | yes | characteristic |
| 1032 | C2×D4 | — | 2 | 4 | no | — |
| 1033 | C2×D4 | — | 2 | 8 | no | — |
| 1034 | C2×D4 | — | 2 | 8 | no | — |
| 1035 | C2×D4 | — | 2 | 2 | no | — |
| 1036 | C2×D4 | — | 2 | 8 | no | — |
| 1037 | C2×D4 | — | 2 | 8 | no | — |
| 1038 | C2×D4 | — | 2 | 1 | no | — |
| 1039 | C2×D4 | — | 2 | 4 | no | — |
| 1040 | C2×D4 | — | 2 | 2 | no | — |
| 1041 | C2×D4 | — | 2 | 2 | no | — |
| 1042 | C2×D4 | — | 53 | 4 | no | — |
| 1043 | C2×D4 | — | 53 | 4 | no | — |
| 1044 | C2×D4 | — | 53 | 4 | no | — |
| 1045 | C2×D4 | — | 53 | 4 | no | — |
| 1046 | C2×D4 | — | 53 | 2 | no | — |
| 1047 | C2×D4 | — | 53 | 1 | no | — |
| 1048 | C2×D4 | — | 106 | 2 | no | — |
| 1049 | C2×D4 | — | 106 | 1 | no | — |
| 1050 | C2×D4 | — | 106 | 2 | no | — |
| 1051 | C2×D4 | — | 106 | 2 | no | — |
| 1052 | C2×D4 | — | 106 | 2 | no | — |
| 1053 | C2×D4 | — | 106 | 2 | no | — |
| 1054 | C2×D4 | — | 106 | 2 | no | — |
| 1055 | C2×D4 | — | 106 | 1 | no | — |
| 1056 | C2×D4 | — | 106 | 8 | no | — |
| 1057 | C2×D4 | — | 106 | 4 | no | — |
| 1058 | C2×D4 | — | 106 | 4 | no | — |
| 1059 | C2×D4 | — | 106 | 4 | no | — |
| 1060 | C2×D4 | — | 106 | 4 | no | — |
| 1061 | C2×D4 | — | 106 | 16 | no | — |
| 1062 | C2×D4 | — | 106 | 16 | no | — |
| 1063 | C2×D4 | — | 106 | 8 | no | — |
| 1064 | C2×D4 | — | 106 | 4 | no | — |
| 1065 | C2×D4 | — | 106 | 4 | no | — |
| 1066 | C2×D4 | — | 106 | 2 | no | — |
| 1067 | C2×D4 | — | 106 | 4 | no | — |
| 1068 | C2×D4 | — | 106 | 4 | no | — |
| 1069 | C2×D4 | — | 106 | 8 | no | — |
| 1070 | C2×D4 | — | 106 | 8 | no | — |
| 1071 | C2×D4 | — | 106 | 16 | no | — |
| 1072 | C2×D4 | — | 106 | 16 | no | — |
| 1073 | C2×D4 | — | 106 | 8 | no | — |
| 1074 | C2×D4 | — | 106 | 2 | no | — |
| 1075 | C2×D4 | — | 106 | 8 | no | — |
| 1076 | C2×D4 | — | 106 | 4 | no | — |
| 1077 | C2×D4 | — | 106 | 1 | no | — |
| 1078 | C2×D4 | — | 106 | 1 | no | — |
| 1079 | C2×D4 | — | 212 | 2 | no | — |
| 1080 | C2×D4 | — | 212 | 2 | no | — |
| 1081 | C2×D4 | D4×D53 | 1 | 2 | yes | — |
| 1082 | C2×D4 | D4×D53 | 1 | 2 | yes | — |
| 1083 | C2×D4 | C23×D53 | 1 | 1 | yes | characteristic |
| 1084 | C2×D4 | C23×D53 | 1 | 2 | yes | — |
| 1085 | C22×C4 | — | 2 | 2 | no | — |
| 1086 | C22×C4 | — | 2 | 2 | no | — |
| 1087 | C22×C4 | — | 2 | 1 | no | — |
| 1088 | C22×C4 | — | 53 | 1 | no | — |
| 1089 | C22×C4 | — | 53 | 1 | no | — |
| 1090 | C22×C4 | — | 53 | 1 | no | — |
| 1091 | C22×C4 | — | 53 | 2 | no | — |
| 1092 | C22×C4 | — | 53 | 2 | no | — |
| 1093 | C22×C4 | — | 53 | 2 | no | — |
| 1094 | C22×C4 | — | 53 | 2 | no | — |
| 1095 | C22×C4 | — | 53 | 1 | no | — |
| 1096 | C22×C4 | — | 53 | 1 | no | — |
| 1097 | C22×C4 | — | 53 | 4 | no | — |
| 1098 | C22×C4 | — | 53 | 4 | no | — |
| 1099 | C22×C4 | — | 53 | 2 | no | — |
| 1100 | C22×C4 | — | 106 | 2 | no | — |
| 1101 | C22×C4 | — | 106 | 4 | no | — |
| 1102 | C22×C4 | — | 106 | 4 | no | — |
| 1103 | C22×C4 | — | 106 | 4 | no | — |
| 1104 | C22×C4 | — | 106 | 4 | no | — |
| 1105 | C22×C4 | — | 106 | 1 | no | — |
| 1106 | C22×C4 | — | 106 | 2 | no | — |
| 1107 | C22×C4 | — | 106 | 4 | no | — |
| 1108 | C22×C4 | — | 106 | 8 | no | — |
| 1109 | C22×C4 | — | 106 | 8 | no | — |
| 1110 | C22×C4 | — | 106 | 2 | no | — |
| 1111 | C22×C4 | — | 106 | 1 | no | — |
| 1112 | C22×C4 | — | 106 | 2 | no | — |
| 1113 | C22×C4 | — | 106 | 2 | no | — |
| 1114 | C22×C4 | — | 106 | 2 | no | — |
| 1115 | C22×C4 | — | 106 | 2 | no | — |
| 1116 | C22×C4 | — | 106 | 2 | no | — |
| 1117 | C22×C4 | — | 106 | 1 | no | — |
| 1118 | C22×C4 | — | 106 | 4 | no | — |
| 1119 | C22×C4 | — | 106 | 2 | no | — |
| 1120 | C22×C4 | — | 106 | 8 | no | — |
| 1121 | C22×C4 | — | 106 | 8 | no | — |
| 1122 | C22×C4 | — | 106 | 2 | no | — |
| 1123 | C22×C4 | — | 106 | 1 | no | — |
| 1124 | C22×C4 | — | 212 | 2 | no | — |
| 1125 | C22×C4 | — | 212 | 2 | no | — |
| 1126 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 1127 | Q16 | — | 2 | 4 | no | — |
| 1128 | Q16 | — | 106 | 4 | no | — |
| 1129 | Q16 | — | 106 | 4 | no | — |
| 1130 | Q16 | — | 106 | 4 | no | — |
| 1131 | SD16 | — | 2 | 4 | no | — |
| 1132 | SD16 | — | 2 | 4 | no | — |
| 1133 | SD16 | — | 106 | 4 | no | — |
| 1134 | SD16 | — | 106 | 4 | no | — |
| 1135 | SD16 | — | 106 | 4 | no | — |
| 1136 | SD16 | — | 106 | 4 | no | — |
| 1137 | SD16 | — | 106 | 4 | no | — |
| 1138 | SD16 | — | 106 | 4 | no | — |
| 1139 | D8 | — | 2 | 4 | no | — |
| 1140 | D8 | — | 106 | 4 | no | — |
| 1141 | D8 | — | 106 | 4 | no | — |
| 1142 | D8 | — | 106 | 4 | no | — |
| 1143 | M16 | — | 2 | 2 | no | — |
| 1144 | M16 | — | 53 | 4 | no | — |
| 1145 | M16 | — | 106 | 4 | no | — |
| 1146 | M16 | — | 106 | 4 | no | — |
| 1147 | M16 | — | 106 | 2 | no | — |
| 1148 | M16 | C23×D53 | 1 | 4 | yes | — |
| 1149 | C2×C8 | — | 2 | 2 | no | — |
| 1150 | C2×C8 | — | 106 | 4 | no | — |
| 1151 | C2×C8 | — | 106 | 4 | no | — |
| 1152 | C2×C8 | — | 106 | 2 | no | — |
| 1153 | C4⋊C4 | — | 2 | 1 | no | — |
| 1154 | C4⋊C4 | — | 106 | 2 | no | — |
| 1155 | C4⋊C4 | — | 106 | 4 | no | — |
| 1156 | C4⋊C4 | — | 106 | 4 | no | — |
| 1157 | C4⋊C4 | — | 106 | 1 | no | — |
| 1158 | C22⋊C4 | — | 2 | 1 | no | — |
| 1159 | C22⋊C4 | — | 2 | 4 | no | — |
| 1160 | C22⋊C4 | — | 106 | 4 | no | — |
| 1161 | C22⋊C4 | — | 106 | 2 | no | — |
| 1162 | C22⋊C4 | — | 106 | 4 | no | — |
| 1163 | C22⋊C4 | — | 106 | 1 | no | — |
| 1164 | C22⋊C4 | — | 106 | 4 | no | — |
| 1165 | C42 | — | 53 | 2 | no | — |
| 1166 | C42 | — | 106 | 2 | no | — |
| 1167 | C42 | C23×D53 | 1 | 2 | yes | — |
| 1168 | C23 | — | 2 | 8 | no | — |
| 1169 | C23 | — | 2 | 2 | no | — |
| 1170 | C23 | — | 2 | 2 | no | — |
| 1171 | C23 | — | 2 | 2 | no | — |
| 1172 | C23 | — | 2 | 1 | no | — |
| 1173 | C23 | — | 8 | 2 | no | — |
| 1174 | C23 | — | 8 | 4 | no | — |
| 1175 | C23 | — | 53 | 2 | no | — |
| 1176 | C23 | — | 53 | 2 | no | — |
| 1177 | C23 | — | 53 | 1 | no | — |
| 1178 | C23 | — | 53 | 1 | no | — |
| 1179 | C23 | — | 106 | 4 | no | — |
| 1180 | C23 | — | 106 | 4 | no | — |
| 1181 | C23 | — | 106 | 8 | no | — |
| 1182 | C23 | — | 106 | 2 | no | — |
| 1183 | C23 | — | 106 | 1 | no | — |
| 1184 | C23 | — | 424 | 4 | no | — |
| 1185 | C23 | — | 424 | 4 | no | — |
| 1186 | C23 | — | 424 | 2 | no | — |
| 1187 | C23 | — | 424 | 1 | no | — |
| 1188 | C23 | — | 212 | 2 | no | — |
| 1189 | C23 | C2×D4×D53 | 1 | 4 | yes | — |
| 1190 | C23 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1191 | Q8 | — | 2 | 2 | no | — |
| 1192 | Q8 | — | 2 | 2 | no | — |
| 1193 | Q8 | — | 53 | 4 | no | — |
| 1194 | Q8 | — | 106 | 4 | no | — |
| 1195 | Q8 | — | 106 | 4 | no | — |
| 1196 | Q8 | — | 106 | 16 | no | — |
| 1197 | Q8 | — | 106 | 4 | no | — |
| 1198 | Q8 | — | 106 | 2 | no | — |
| 1199 | Q8 | — | 106 | 4 | no | — |
| 1200 | Q8 | — | 106 | 2 | no | — |
| 1201 | Q8 | — | 212 | 1 | no | — |
| 1202 | Q8 | — | 212 | 1 | no | — |
| 1203 | Q8 | C2×D4×D53 | 1 | 4 | yes | — |
| 1204 | D4 | — | 2 | 16 | no | — |
| 1205 | D4 | — | 2 | 4 | no | — |
| 1206 | D4 | — | 2 | 4 | no | — |
| 1207 | D4 | — | 2 | 4 | no | — |
| 1208 | D4 | — | 2 | 2 | no | — |
| 1209 | D4 | — | 2 | 4 | no | — |
| 1210 | D4 | — | 2 | 2 | no | — |
| 1211 | D4 | — | 4 | 1 | no | — |
| 1212 | D4 | — | 4 | 1 | no | — |
| 1213 | D4 | — | 8 | 4 | no | — |
| 1214 | D4 | — | 53 | 4 | no | — |
| 1215 | D4 | — | 106 | 4 | no | — |
| 1216 | D4 | — | 106 | 4 | no | — |
| 1217 | D4 | — | 106 | 4 | no | — |
| 1218 | D4 | — | 106 | 4 | no | — |
| 1219 | D4 | — | 106 | 8 | no | — |
| 1220 | D4 | — | 106 | 8 | no | — |
| 1221 | D4 | — | 106 | 4 | no | — |
| 1222 | D4 | — | 106 | 4 | no | — |
| 1223 | D4 | — | 106 | 16 | no | — |
| 1224 | D4 | — | 106 | 16 | no | — |
| 1225 | D4 | — | 106 | 4 | no | — |
| 1226 | D4 | — | 106 | 4 | no | — |
| 1227 | D4 | — | 106 | 2 | no | — |
| 1228 | D4 | — | 106 | 2 | no | — |
| 1229 | D4 | — | 424 | 4 | no | — |
| 1230 | D4 | — | 212 | 2 | no | — |
| 1231 | D4 | — | 212 | 1 | no | — |
| 1232 | D4 | — | 212 | 1 | no | — |
| 1233 | D4 | — | 212 | 2 | no | — |
| 1234 | D4 | — | 212 | 1 | no | — |
| 1235 | D4 | — | 212 | 1 | no | — |
| 1236 | D4 | C2×D4×D53 | 1 | 4 | yes | — |
| 1237 | C2×C4 | — | 2 | 8 | no | — |
| 1238 | C2×C4 | — | 2 | 2 | no | — |
| 1239 | C2×C4 | — | 2 | 4 | no | — |
| 1240 | C2×C4 | — | 2 | 4 | no | — |
| 1241 | C2×C4 | — | 2 | 2 | no | — |
| 1242 | C2×C4 | — | 2 | 1 | no | — |
| 1243 | C2×C4 | — | 4 | 2 | no | — |
| 1244 | C2×C4 | — | 53 | 1 | no | — |
| 1245 | C2×C4 | — | 53 | 1 | no | — |
| 1246 | C2×C4 | — | 53 | 1 | no | — |
| 1247 | C2×C4 | — | 53 | 1 | no | — |
| 1248 | C2×C4 | — | 53 | 1 | no | — |
| 1249 | C2×C4 | — | 53 | 1 | no | — |
| 1250 | C2×C4 | — | 53 | 2 | no | — |
| 1251 | C2×C4 | — | 53 | 2 | no | — |
| 1252 | C2×C4 | — | 53 | 2 | no | — |
| 1253 | C2×C4 | — | 53 | 2 | no | — |
| 1254 | C2×C4 | — | 53 | 2 | no | — |
| 1255 | C2×C4 | — | 53 | 2 | no | — |
| 1256 | C2×C4 | — | 53 | 2 | no | — |
| 1257 | C2×C4 | — | 53 | 2 | no | — |
| 1258 | C2×C4 | — | 53 | 4 | no | — |
| 1259 | C2×C4 | — | 106 | 4 | no | — |
| 1260 | C2×C4 | — | 106 | 4 | no | — |
| 1261 | C2×C4 | — | 106 | 4 | no | — |
| 1262 | C2×C4 | — | 106 | 4 | no | — |
| 1263 | C2×C4 | — | 106 | 16 | no | — |
| 1264 | C2×C4 | — | 106 | 4 | no | — |
| 1265 | C2×C4 | — | 106 | 4 | no | — |
| 1266 | C2×C4 | — | 106 | 4 | no | — |
| 1267 | C2×C4 | — | 106 | 4 | no | — |
| 1268 | C2×C4 | — | 106 | 4 | no | — |
| 1269 | C2×C4 | — | 106 | 4 | no | — |
| 1270 | C2×C4 | — | 106 | 16 | no | — |
| 1271 | C2×C4 | — | 106 | 8 | no | — |
| 1272 | C2×C4 | — | 106 | 2 | no | — |
| 1273 | C2×C4 | — | 106 | 2 | no | — |
| 1274 | C2×C4 | — | 106 | 2 | no | — |
| 1275 | C2×C4 | — | 106 | 4 | no | — |
| 1276 | C2×C4 | — | 106 | 4 | no | — |
| 1277 | C2×C4 | — | 106 | 2 | no | — |
| 1278 | C2×C4 | — | 106 | 1 | no | — |
| 1279 | C2×C4 | — | 424 | 2 | no | — |
| 1280 | C2×C4 | — | 212 | 1 | no | — |
| 1281 | C2×C4 | — | 212 | 1 | no | — |
| 1282 | C2×C4 | — | 212 | 2 | no | — |
| 1283 | C2×C4 | — | 212 | 1 | no | — |
| 1284 | C2×C4 | — | 212 | 1 | no | — |
| 1285 | C2×C4 | — | 212 | 2 | no | — |
| 1286 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1287 | C2×C4 | C2×D4×D53 | 1 | 2 | yes | — |
| 1288 | C2×C4 | C2×D4×D53 | 1 | 2 | yes | — |
| 1289 | C2×C4 | C24×D53 | 1 | 1 | yes | characteristic |
| 1290 | C8 | — | 2 | 4 | no | — |
| 1291 | C8 | — | 106 | 4 | no | — |
| 1292 | C22 | — | 2 | 4 | no | — |
| 1293 | C22 | — | 2 | 4 | no | — |
| 1294 | C22 | — | 4 | 1 | no | — |
| 1295 | C22 | — | 4 | 4 | no | — |
| 1296 | C22 | — | 4 | 4 | no | — |
| 1297 | C22 | — | 4 | 4 | no | — |
| 1298 | C22 | — | 4 | 2 | no | — |
| 1299 | C22 | — | 4 | 1 | no | — |
| 1300 | C22 | — | 8 | 2 | no | — |
| 1301 | C22 | — | 8 | 8 | no | — |
| 1302 | C22 | — | 53 | 2 | no | — |
| 1303 | C22 | — | 53 | 2 | no | — |
| 1304 | C22 | — | 106 | 4 | no | — |
| 1305 | C22 | — | 424 | 4 | no | — |
| 1306 | C22 | — | 424 | 4 | no | — |
| 1307 | C22 | — | 424 | 8 | no | — |
| 1308 | C22 | — | 424 | 4 | no | — |
| 1309 | C22 | — | 212 | 1 | no | — |
| 1310 | C22 | — | 212 | 1 | no | — |
| 1311 | C22 | — | 212 | 2 | no | — |
| 1312 | C22 | — | 212 | 2 | no | — |
| 1313 | C22 | — | 212 | 2 | no | — |
| 1314 | C22 | — | 212 | 4 | no | — |
| 1315 | C22 | — | 212 | 1 | no | — |
| 1316 | C22 | #120×D53 | 1 | 1 | yes | characteristic |
| 1317 | C22 | #120×D53 | 1 | 1 | yes | characteristic |
| 1318 | C22 | C22×D4×D53 | 1 | 1 | yes | characteristic |
| 1319 | C4 | — | 2 | 4 | no | — |
| 1320 | C4 | — | 4 | 2 | no | — |
| 1321 | C4 | — | 4 | 1 | no | — |
| 1322 | C4 | — | 53 | 1 | no | — |
| 1323 | C4 | — | 53 | 1 | no | — |
| 1324 | C4 | — | 53 | 1 | no | — |
| 1325 | C4 | — | 53 | 1 | no | — |
| 1326 | C4 | — | 106 | 4 | no | — |
| 1327 | C4 | — | 106 | 4 | no | — |
| 1328 | C4 | — | 212 | 2 | no | — |
| 1329 | C4 | — | 212 | 1 | no | — |
| 1330 | C4 | #120×D53 | 1 | 2 | yes | — |
| 1331 | C4 | C22×D4×D53 | 1 | 2 | yes | — |
| 1332 | C2 | — | 2 | 1 | no | — |
| 1333 | C2 | — | 2 | 1 | no | — |
| 1334 | C2 | — | 2 | 1 | no | — |
| 1335 | C2 | — | 4 | 4 | no | — |
| 1336 | C2 | — | 4 | 4 | no | — |
| 1337 | C2 | — | 8 | 1 | no | — |
| 1338 | C2 | — | 106 | 2 | no | — |
| 1339 | C2 | — | 106 | 2 | no | — |
| 1340 | C2 | — | 424 | 1 | no | — |
| 1341 | C2 | — | 212 | 4 | no | — |
| 1342 | C2 | C2×#120×D53 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#16811458 | C2 | semidirect |
| 2. #575×D53 | C2 | semidirect |
| 3. #20288046 | C2 | semidirect |
| 4. #20284090 | C2 | semidirect |
| 5. #20284083 | C2 | semidirect |
| 6. #20284081 | C2 | semidirect |
| 7. #20284077 | C2 | semidirect |
| 8. #20284075 | C2 | semidirect |
| 9. #20284072 | C2 | semidirect |
| 10. #20284071 | C2 | semidirect |
| 11. #20284065 | C2 | semidirect |
| 12. #20284060 | C2 | semidirect |
| 13. #421×D53 | C2 | semidirect |
| 14. C2×#16810604 | C2 | semidirect |
| 15. C53×#3019 | C2 | semidirect |
| 21. #16811458 | C22 | semidirect |
| 23. C2×#13133264 | C22 | semidirect |
| 26. C2×#13133262 | C22 | semidirect |
| 32. C2×#41×D53 | C22 | semidirect |
| 33. #16811423 | C22 | semidirect |
| 35. #16811422 | C22 | semidirect |
| 36. #16811421 | C22 | semidirect |
| 37. #16811421 | C22 | semidirect |
| 40. #16811419 | C22 | semidirect |
| 42. #137×D53 | C22 | semidirect |
| 44. AGL(1,ℤ/8)×D53 | C22 | semidirect |
| 46. C2×M16×D53 | C22 | semidirect |
| 48. #16811199 | C22 | semidirect |
| 49. #16811194 | C22 | semidirect |
| 50. #16811193 | C22 | semidirect |
| 51. #16811190 | C22 | semidirect |
| 52. #16811186 | C22 | semidirect |
| 54. #16811172 | C22 | semidirect |
| 55. #16811171 | C22 | semidirect |
| 58. #117×D53 | C22 | semidirect |
| 59. #16810807 | C22 | semidirect |
| 60. #16810804 | C22 | semidirect |
| 61. #16810803 | C22 | semidirect |
| 62. #16810801 | C22 | semidirect |
| 63. #16810800 | C22 | semidirect |
| 64. #16810797 | C22 | semidirect |
| 65. #16810794 | C22 | semidirect |
| 66. #16810793 | C22 | semidirect |
| 67. #16810791 | C22 | semidirect |
| 68. #16810790 | C22 | semidirect |
| 69. #16810641 | C22 | semidirect |
| 70. #16810640 | C22 | semidirect |
| 71. #16810639 | C22 | semidirect |
| 72. #16810638 | C22 | semidirect |
| 73. #104×D53 | C22 | semidirect |
| 74. #16810604 | C22 | semidirect |
| 75. #16810604 | C22 | semidirect |
| 76. C2×#13133135 | C22 | semidirect |
| 77. C2×#13133134 | C22 | semidirect |
| 78. C2×H(5,𝔽2)×C53 | C22 | semidirect |
| 79. C53×#575 | C22 | semidirect |
| 80. C53×#535 | C22 | semidirect |
| 81. C53×#455 | C22 | semidirect |
| 82. C53×#453 | C22 | semidirect |
| 83. C53×#421 | C22 | semidirect |
| 84. C2×#100×C53 | C22 | semidirect |
| 103. C2×#11719949 | D4 | semidirect |
| 104. C2×#11719949 | C23 | semidirect |
| 133. C2×#11719947 | D4 | semidirect |
| 136. C2×#11719947 | C23 | semidirect |
| 149. #41×D53 | D4 | semidirect |
| 150. #41×D53 | D4 | semidirect |
| 157. C2×Q8×D53 | D4 | semidirect |
| 158. C2×Q8×D53 | C23 | semidirect |
| 167. C2×D4×D53 | D4 | semidirect |
| 168. C2×D4×D53 | C23 | semidirect |
| 176. #13133250 | C23 | semidirect |
| 180. #13133248 | C23 | semidirect |
| 182. #13133247 | C23 | semidirect |
| 186. #13133245 | C23 | semidirect |
| 190. #13133243 | C23 | semidirect |
| 192. #13133242 | C23 | semidirect |
| 210. M16×D53 | C23 | semidirect |
| 211. M16×D53 | C23 | semidirect |
| 213. #13133217 | C23 | semidirect |
| 214. #13133215 | C23 | semidirect |
| 215. #13133213 | C23 | semidirect |
| 216. #13133205 | C23 | semidirect |
| 217. #13133204 | C23 | semidirect |
| 218. #13133204 | C23 | semidirect |
| 235. #13133174 | C23 | semidirect |
| 239. C42×D53 | C23 | semidirect |
| 240. #13133145 | C23 | semidirect |
| 241. #13133144 | C23 | semidirect |
| 242. #13133143 | C23 | semidirect |
| 243. #13133135 | C23 | semidirect |
| 244. #13133134 | C23 | semidirect |
| 255. #137×C53 | C23 | semidirect |
| 257. AGL(1,ℤ/8)×C53 | C23 | semidirect |
| 260. #127×C53 | C23 | semidirect |
| 261. #124×C53 | C23 | semidirect |
| 265. #104×C53 | C23 | semidirect |
| 266. #100×C53 | C23 | semidirect |
| 671. #3019 | D53 | semidirect |
| 698. C2×H(5,𝔽2) | C2×D53 | semidirect |
| 713. #575 | C2×D53 | semidirect |
| 726. #535 | C2×D53 | semidirect |
| 738. #455 | C2×D53 | semidirect |
| 744. #453 | C2×D53 | semidirect |
| 749. #421 | C2×D53 | semidirect |
| 755. C2×#100 | C2×D53 | semidirect |
| 756. C53 | #60387 | semidirect |
| 867. #137 | C22×D53 | semidirect |
| 879. AGL(1,ℤ/8) | C22×D53 | semidirect |
| 903. #127 | C22×D53 | semidirect |
| 907. #124 | C22×D53 | semidirect |
| 935. #104 | C22×D53 | semidirect |
| 938. #100 | C22×D53 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16811458 | 2 |
| #575×D53 | 2 |
| #20288046 | 2 |
| #20284090 | 2 |
| #20284083 | 2 |
| #20284081 | 2 |
| #20284077 | 2 |
| #20284075 | 2 |
| #20284072 | 2 |
| #20284071 | 2 |
| #20284065 | 2 |
| #20284060 | 2 |
| #421×D53 | 2 |
| C2×#16810604 | 2 |
| C53×#3019 | 2 |
| #60387 | 53 |