Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1450 conjugacy classes of subgroups.
The subgroup lattice has 982 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×D7×AGL(1,ℤ/8) | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#89670 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11736330 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#89548 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#89520 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11736108 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C7×#2051 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729851 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728467 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11728061 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11727972 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11727833 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11727761 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726760 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×D7×#41 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×D4×D7 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C7×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#6514 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×#6512 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×#1142 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#6495 | C22 | 1 | 1 | yes | characteristic |
| 23 | D7×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 24 | D7×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 25 | C2×#6477 | — | 2 | 1 | no | — |
| 26 | C2×D7×SD16 | — | 2 | 1 | no | — |
| 27 | C2×#6474 | — | 2 | 1 | no | — |
| 28 | C2×D7×D8 | — | 2 | 1 | no | — |
| 29 | C2×#6472 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×#6471 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#6470 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×D7×M16 | C22 | 1 | 1 | yes | characteristic |
| 33 | C22×#1132 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#6464 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×#6460 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×C7×#108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C7×#417 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×C7×#102 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×C7×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C7×#408 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #90006 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#6407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×#6398 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C2×#6398 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×#6397 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×#6397 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #89898 | C22 | 1 | 1 | yes | characteristic |
| 48 | #89898 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×#6396 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×(C2×D7)⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 51 | #89738 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#6383 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #89670 | — | 2 | 4 | no | — |
| 54 | #89582 | — | 2 | 1 | no | — |
| 55 | #89580 | — | 2 | 1 | no | — |
| 56 | #89555 | — | 2 | 1 | no | — |
| 57 | #89548 | — | 2 | 1 | no | — |
| 58 | #89548 | — | 2 | 1 | no | — |
| 59 | #89548 | — | 2 | 1 | no | — |
| 60 | #89548 | — | 2 | 1 | no | — |
| 61 | #89548 | — | 2 | 1 | no | — |
| 62 | #89520 | — | 2 | 4 | no | — |
| 63 | #89499 | — | 2 | 1 | no | — |
| 64 | #89499 | — | 2 | 1 | no | — |
| 65 | #89498 | — | 2 | 1 | no | — |
| 66 | D7×C22⋊C8 | — | 2 | 1 | no | — |
| 67 | C7×#343 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #89353 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #89347 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #89325 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #24399 | — | 7 | 1 | no | maximal, Sylow |
| 72 | C24×D7 | — | 2 | 1 | no | — |
| 73 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 74 | C22×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 75 | C22×C22⋊D7 | — | 2 | 1 | no | — |
| 76 | D7×#41 | — | 2 | 2 | no | — |
| 77 | D7×#41 | — | 2 | 2 | no | — |
| 78 | D7×#41 | — | 4 | 1 | no | — |
| 79 | D7×#41 | — | 4 | 1 | no | — |
| 80 | C2×#1161 | D4 | 1 | 1 | yes | characteristic |
| 81 | C2×Q8×D7 | D4 | 1 | 1 | yes | characteristic |
| 82 | C2×#1159 | — | 2 | 1 | no | — |
| 83 | C2×#1159 | D4 | 1 | 1 | yes | characteristic |
| 84 | C2×D4×D7 | — | 2 | 2 | no | — |
| 85 | C2×D4×D7 | — | 2 | 1 | no | — |
| 86 | C2×D4×D7 | — | 2 | 2 | no | — |
| 87 | C2×D4×D7 | — | 2 | 1 | no | — |
| 88 | C2×D4×D7 | — | 2 | 1 | no | — |
| 89 | C2×D4×D7 | — | 2 | 1 | no | — |
| 90 | C2×D4×D7 | — | 2 | 1 | no | — |
| 91 | C2×D4×D7 | — | 4 | 1 | no | — |
| 92 | C2×D4×D7 | — | 4 | 1 | no | — |
| 93 | C2×D4×D7 | D4 | 1 | 1 | yes | characteristic |
| 94 | C2×#1157 | — | 2 | 1 | no | — |
| 95 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×D28 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×C4×D7 | — | 2 | 1 | no | — |
| 98 | C22×C4×D7 | C23 | 1 | 1 | yes | characteristic |
| 99 | C22×Dic14 | C23 | 1 | 1 | yes | characteristic |
| 100 | C7×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 101 | C7×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 102 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 103 | C2×C7×D8 | — | 2 | 1 | no | — |
| 104 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 107 | C22×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 109 | #6514 | — | 4 | 1 | no | — |
| 110 | #6514 | — | 4 | 1 | no | — |
| 111 | #6512 | — | 2 | 2 | no | — |
| 112 | #6512 | — | 2 | 2 | no | — |
| 113 | C2×#1144 | — | 2 | 1 | no | — |
| 114 | C2×#1143 | — | 2 | 1 | no | — |
| 115 | C2×#1142 | — | 2 | 1 | no | — |
| 116 | C2×#1142 | — | 2 | 2 | no | — |
| 117 | C2×#1142 | — | 2 | 1 | no | — |
| 118 | C2×#1142 | — | 2 | 1 | no | — |
| 119 | C2×#1142 | — | 2 | 1 | no | — |
| 120 | C2×#1142 | — | 4 | 1 | no | — |
| 121 | #6495 | — | 2 | 2 | no | — |
| 122 | #6495 | D4 | 1 | 4 | yes | — |
| 123 | C2×#1141 | — | 2 | 1 | no | — |
| 124 | C2×#1141 | — | 2 | 1 | no | — |
| 125 | C2×(C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 126 | C2×C4⋊Dic7 | — | 2 | 1 | no | — |
| 127 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 130 | C22×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 131 | #6477 | — | 2 | 8 | no | — |
| 132 | D7×SD16 | — | 2 | 8 | no | — |
| 133 | #6474 | — | 2 | 8 | no | — |
| 134 | D7×D8 | — | 2 | 8 | no | — |
| 135 | #6472 | — | 2 | 2 | no | — |
| 136 | #6472 | — | 2 | 2 | no | — |
| 137 | #6471 | — | 2 | 2 | no | — |
| 138 | #6471 | D4 | 1 | 4 | yes | — |
| 139 | #6470 | — | 2 | 2 | no | — |
| 140 | #6470 | — | 4 | 1 | no | — |
| 141 | D7×M16 | — | 2 | 2 | no | — |
| 142 | D7×M16 | — | 2 | 2 | no | — |
| 143 | C2×Dic28 | — | 2 | 1 | no | — |
| 144 | C2×D56 | — | 2 | 1 | no | — |
| 145 | C2×#1132 | — | 2 | 1 | no | — |
| 146 | C2×#1132 | — | 2 | 2 | no | — |
| 147 | C2×#1132 | — | 2 | 1 | no | — |
| 148 | C2×#1132 | — | 2 | 1 | no | — |
| 149 | C2×#1132 | — | 2 | 1 | no | — |
| 150 | C2×#1132 | — | 4 | 1 | no | — |
| 151 | #6464 | — | 2 | 2 | no | — |
| 152 | #6464 | — | 4 | 1 | no | — |
| 153 | C2×#1131 | — | 2 | 1 | no | — |
| 154 | C2×#1131 | — | 2 | 1 | no | — |
| 155 | C2×#1131 | — | 2 | 1 | no | — |
| 156 | C2×C8×D7 | — | 2 | 1 | no | — |
| 157 | C2×C8×D7 | — | 2 | 1 | no | — |
| 158 | C2×C8×D7 | — | 2 | 1 | no | — |
| 159 | #6460 | — | 2 | 1 | no | — |
| 160 | #6460 | — | 2 | 1 | no | — |
| 161 | #6460 | — | 2 | 1 | no | — |
| 162 | #6460 | — | 2 | 1 | no | — |
| 163 | C7×#108 | — | 2 | 2 | no | — |
| 164 | C7×#103 | — | 2 | 1 | no | — |
| 165 | C7×#102 | — | 2 | 1 | no | — |
| 166 | C7×#102 | — | 2 | 1 | no | — |
| 167 | C7×#102 | — | 2 | 1 | no | — |
| 168 | C7×#100 | — | 2 | 2 | no | — |
| 169 | C7×C22⋊C8 | — | 2 | 1 | no | — |
| 170 | C7×C22⋊C8 | — | 2 | 1 | no | — |
| 171 | #6407 | — | 4 | 1 | no | — |
| 172 | C22⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 173 | C22⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 174 | #6398 | — | 2 | 2 | no | — |
| 175 | #6398 | — | 2 | 2 | no | — |
| 176 | #6397 | — | 2 | 2 | no | — |
| 177 | #6397 | — | 4 | 1 | no | — |
| 178 | #6396 | — | 2 | 2 | no | — |
| 179 | (C2×D7)⋊C8 | — | 2 | 1 | no | — |
| 180 | (C2×D7)⋊C8 | — | 2 | 1 | no | — |
| 181 | (C2×D7)⋊C8 | — | 2 | 1 | no | — |
| 182 | (C2×D7)⋊C8 | — | 2 | 1 | no | — |
| 183 | (C2×D7)⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 184 | (C2×D7)⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 185 | (C2×D7)⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 186 | (C2×D7)⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 187 | #6384 | — | 2 | 1 | no | — |
| 188 | #6383 | — | 2 | 1 | no | — |
| 189 | #6383 | — | 2 | 1 | no | — |
| 190 | #6383 | — | 2 | 1 | no | — |
| 191 | C22×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 192 | C2×#471 | — | 7 | 1 | no | — |
| 193 | C2×#471 | — | 7 | 1 | no | — |
| 194 | #3007 | — | 7 | 1 | no | — |
| 195 | C2×#450 | — | 7 | 1 | no | — |
| 196 | #2880 | — | 7 | 1 | no | — |
| 197 | #2051 | — | 7 | 1 | no | — |
| 198 | #2051 | D7 | 1 | 1 | yes | characteristic, complemented |
| 199 | #2019 | — | 7 | 1 | no | — |
| 200 | #2019 | — | 7 | 1 | no | — |
| 201 | #1907 | — | 7 | 1 | no | — |
| 202 | #1907 | — | 7 | 1 | no | — |
| 203 | #1901 | — | 7 | 1 | no | — |
| 204 | #1855 | — | 7 | 1 | no | — |
| 205 | #1783 | — | 7 | 1 | no | — |
| 206 | C24×C7 | — | 2 | 1 | no | — |
| 207 | C23×D7 | — | 2 | 1 | no | — |
| 208 | C23×D7 | — | 2 | 1 | no | — |
| 209 | C23×D7 | — | 4 | 2 | no | — |
| 210 | C23×D7 | — | 4 | 2 | no | — |
| 211 | C23×D7 | — | 4 | 1 | no | — |
| 212 | C23×D7 | — | 4 | 1 | no | — |
| 213 | C23×D7 | — | 8 | 2 | no | — |
| 214 | C23×D7 | — | 8 | 2 | no | — |
| 215 | C23×D7 | #41 | 1 | 1 | yes | characteristic |
| 216 | C7×#41 | — | 2 | 1 | no | — |
| 217 | C7×#41 | — | 2 | 1 | no | — |
| 218 | C7×#41 | — | 2 | 1 | no | — |
| 219 | C7×#41 | — | 2 | 1 | no | — |
| 220 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×C7×D4 | — | 2 | 1 | no | — |
| 222 | C2×C7×D4 | — | 2 | 1 | no | — |
| 223 | C2×C7×D4 | — | 2 | 1 | no | — |
| 224 | C2×C7×D4 | — | 2 | 1 | no | — |
| 225 | C2×C7×D4 | — | 2 | 1 | no | — |
| 226 | C2×C7×D4 | — | 2 | 1 | no | — |
| 227 | C2×C7×D4 | C2×D4 | 1 | 2 | yes | — |
| 228 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | C22×C4×C7 | — | 2 | 1 | no | — |
| 230 | C22×C4×C7 | — | 2 | 1 | no | — |
| 231 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 232 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 233 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 234 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 235 | C2×C22⋊D7 | — | 4 | 2 | no | — |
| 236 | C2×C22⋊D7 | — | 4 | 2 | no | — |
| 237 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 238 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 239 | C22×Dic7 | — | 2 | 1 | no | — |
| 240 | C22×Dic7 | — | 2 | 1 | no | — |
| 241 | C22×Dic7 | #41 | 1 | 1 | yes | characteristic |
| 242 | #1161 | — | 2 | 2 | no | — |
| 243 | #1161 | — | 4 | 1 | no | — |
| 244 | Q8×D7 | — | 2 | 2 | no | — |
| 245 | Q8×D7 | — | 4 | 1 | no | — |
| 246 | #1159 | — | 2 | 2 | no | — |
| 247 | #1159 | — | 4 | 1 | no | — |
| 248 | #1159 | — | 4 | 2 | no | — |
| 249 | #1159 | — | 4 | 2 | no | — |
| 250 | D4×D7 | — | 2 | 4 | no | — |
| 251 | D4×D7 | — | 2 | 4 | no | — |
| 252 | D4×D7 | — | 2 | 2 | no | — |
| 253 | D4×D7 | — | 4 | 1 | no | — |
| 254 | D4×D7 | — | 4 | 2 | no | — |
| 255 | D4×D7 | — | 4 | 2 | no | — |
| 256 | D4×D7 | — | 4 | 2 | no | — |
| 257 | D4×D7 | — | 4 | 2 | no | — |
| 258 | D4×D7 | — | 4 | 2 | no | — |
| 259 | D4×D7 | — | 4 | 2 | no | — |
| 260 | D4×D7 | — | 4 | 2 | no | — |
| 261 | D4×D7 | — | 4 | 2 | no | — |
| 262 | #1157 | — | 2 | 1 | no | — |
| 263 | #1157 | — | 2 | 1 | no | — |
| 264 | #1157 | — | 4 | 2 | no | — |
| 265 | #1157 | — | 4 | 2 | no | — |
| 266 | #1157 | C2×D4 | 1 | 2 | yes | — |
| 267 | #1157 | C2×D4 | 1 | 2 | yes | — |
| 268 | C2×D28 | — | 2 | 1 | no | — |
| 269 | C2×D28 | — | 2 | 1 | no | — |
| 270 | C2×D28 | — | 2 | 1 | no | — |
| 271 | C2×D28 | — | 2 | 1 | no | — |
| 272 | C2×D28 | — | 2 | 1 | no | — |
| 273 | C2×D28 | — | 2 | 1 | no | — |
| 274 | C2×D28 | C2×D4 | 1 | 2 | yes | — |
| 275 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | C2×C4×D7 | — | 2 | 1 | no | — |
| 277 | C2×C4×D7 | — | 2 | 1 | no | — |
| 278 | C2×C4×D7 | — | 2 | 1 | no | — |
| 279 | C2×C4×D7 | — | 2 | 1 | no | — |
| 280 | C2×C4×D7 | — | 2 | 1 | no | — |
| 281 | C2×C4×D7 | — | 2 | 1 | no | — |
| 282 | C2×C4×D7 | — | 2 | 1 | no | — |
| 283 | C2×C4×D7 | — | 4 | 2 | no | — |
| 284 | C2×C4×D7 | — | 4 | 2 | no | — |
| 285 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 286 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 287 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 289 | C2×Dic14 | — | 2 | 1 | no | — |
| 290 | C2×Dic14 | — | 2 | 1 | no | — |
| 291 | C2×Dic14 | — | 2 | 1 | no | — |
| 292 | C2×Dic14 | — | 2 | 1 | no | — |
| 293 | C2×Dic14 | — | 2 | 1 | no | — |
| 294 | C2×Dic14 | — | 2 | 1 | no | — |
| 295 | C2×Dic14 | — | 2 | 1 | no | — |
| 296 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | C7×SD16 | — | 2 | 4 | no | — |
| 298 | C7×D8 | — | 2 | 4 | no | — |
| 299 | C7×M16 | — | 2 | 1 | no | — |
| 300 | C7×M16 | — | 2 | 1 | no | — |
| 301 | C7×M16 | — | 2 | 1 | no | — |
| 302 | C7×M16 | — | 2 | 1 | no | — |
| 303 | C7×M16 | — | 2 | 1 | no | — |
| 304 | C7×M16 | C2×D4 | 1 | 2 | yes | — |
| 305 | C2×C7×C8 | — | 2 | 1 | no | — |
| 306 | C2×C7×C8 | — | 2 | 1 | no | — |
| 307 | C2×C7×C8 | — | 2 | 1 | no | — |
| 308 | C2×C7×C8 | — | 2 | 1 | no | — |
| 309 | C2×C7×C8 | — | 2 | 1 | no | — |
| 310 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 311 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 312 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 313 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 314 | #1144 | — | 4 | 2 | no | — |
| 315 | #1143 | — | 2 | 4 | no | — |
| 316 | #1142 | — | 2 | 4 | no | — |
| 317 | #1142 | — | 4 | 2 | no | — |
| 318 | #1142 | — | 4 | 2 | no | — |
| 319 | #1142 | — | 4 | 2 | no | — |
| 320 | #1141 | — | 2 | 4 | no | — |
| 321 | #1141 | — | 2 | 4 | no | — |
| 322 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 323 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 324 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 325 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 326 | #1136 | — | 2 | 1 | no | — |
| 327 | #1136 | — | 2 | 1 | no | — |
| 328 | #1136 | — | 2 | 1 | no | — |
| 329 | #1136 | — | 2 | 1 | no | — |
| 330 | #1136 | — | 2 | 1 | no | — |
| 331 | #1136 | C2×D4 | 1 | 2 | yes | — |
| 332 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 333 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 334 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 335 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 336 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 337 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 338 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | Dic28 | — | 4 | 2 | no | — |
| 340 | D56 | — | 2 | 4 | no | — |
| 341 | #1132 | — | 2 | 4 | no | — |
| 342 | #1132 | — | 4 | 2 | no | — |
| 343 | #1132 | — | 4 | 2 | no | — |
| 344 | #1132 | — | 4 | 2 | no | — |
| 345 | #1131 | — | 2 | 4 | no | — |
| 346 | #1131 | — | 4 | 2 | no | — |
| 347 | #1131 | — | 4 | 2 | no | — |
| 348 | C8×D7 | — | 2 | 4 | no | — |
| 349 | C8×D7 | — | 4 | 2 | no | — |
| 350 | C8×D7 | — | 4 | 2 | no | — |
| 351 | C22×#41 | — | 7 | 1 | no | — |
| 352 | C23×D4 | — | 7 | 1 | no | — |
| 353 | C2×#137 | — | 7 | 1 | no | — |
| 354 | C2×#137 | — | 7 | 1 | no | — |
| 355 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 356 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 357 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 358 | C2×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 359 | C2×AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 360 | C2×AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 361 | C2×AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 362 | C2×AGL(1,ℤ/8) | C2×D7 | 1 | 1 | yes | characteristic |
| 363 | C22×SD16 | — | 7 | 1 | no | — |
| 364 | C22×SD16 | — | 7 | 1 | no | — |
| 365 | C22×SD16 | — | 14 | 1 | no | — |
| 366 | C22×D8 | — | 14 | 1 | no | — |
| 367 | C2×#131 | — | 7 | 1 | no | — |
| 368 | C2×#131 | — | 7 | 1 | no | — |
| 369 | C22×M16 | — | 7 | 1 | no | — |
| 370 | C2×C22⋊Q8 | — | 7 | 1 | no | — |
| 371 | #471 | — | 14 | 4 | no | — |
| 372 | #471 | — | 14 | 4 | no | — |
| 373 | #452 | — | 14 | 1 | no | — |
| 374 | #452 | — | 14 | 1 | no | — |
| 375 | #451 | — | 14 | 1 | no | — |
| 376 | #450 | — | 14 | 1 | no | — |
| 377 | #450 | — | 14 | 1 | no | — |
| 378 | #450 | — | 14 | 1 | no | — |
| 379 | #450 | — | 14 | 1 | no | — |
| 380 | #450 | — | 14 | 1 | no | — |
| 381 | C2×#108 | — | 7 | 1 | no | — |
| 382 | C2×#108 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 383 | #417 | — | 7 | 1 | no | — |
| 384 | #417 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 385 | C2×#102 | — | 7 | 1 | no | — |
| 386 | C2×#102 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 387 | C2×#101 | — | 7 | 1 | no | — |
| 388 | C2×#101 | — | 7 | 1 | no | — |
| 389 | C2×#100 | — | 7 | 1 | no | — |
| 390 | C2×#100 | — | 7 | 1 | no | — |
| 391 | C2×#100 | — | 7 | 1 | no | — |
| 392 | C2×#100 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 393 | #408 | — | 7 | 1 | no | — |
| 394 | #408 | — | 14 | 1 | no | — |
| 395 | #408 | — | 14 | 1 | no | — |
| 396 | #408 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 397 | #407 | — | 7 | 1 | no | — |
| 398 | #407 | — | 7 | 1 | no | — |
| 399 | #407 | — | 14 | 1 | no | — |
| 400 | C2×C22⋊C8 | — | 7 | 1 | no | — |
| 401 | C2×C22⋊C8 | — | 14 | 1 | no | — |
| 402 | #343 | — | 7 | 1 | no | — |
| 403 | #343 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 404 | #341 | — | 7 | 1 | no | — |
| 405 | #341 | — | 7 | 1 | no | — |
| 406 | C23×C7 | — | 2 | 1 | no | — |
| 407 | C23×C7 | — | 2 | 2 | no | — |
| 408 | C23×C7 | — | 4 | 1 | no | — |
| 409 | C23×C7 | — | 4 | 1 | no | — |
| 410 | C23×C7 | — | 8 | 1 | no | — |
| 411 | C23×C7 | — | 8 | 1 | no | — |
| 412 | C23×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 413 | C22×D7 | — | 2 | 1 | no | — |
| 414 | C22×D7 | — | 2 | 1 | no | — |
| 415 | C22×D7 | — | 2 | 1 | no | — |
| 416 | C22×D7 | — | 2 | 2 | no | — |
| 417 | C22×D7 | — | 2 | 2 | no | — |
| 418 | C22×D7 | — | 4 | 1 | no | — |
| 419 | C22×D7 | — | 4 | 2 | no | — |
| 420 | C22×D7 | — | 4 | 4 | no | — |
| 421 | C22×D7 | — | 4 | 4 | no | — |
| 422 | C22×D7 | — | 4 | 1 | no | — |
| 423 | C22×D7 | — | 4 | 1 | no | — |
| 424 | C22×D7 | — | 4 | 2 | no | — |
| 425 | C22×D7 | — | 8 | 1 | no | — |
| 426 | C22×D7 | — | 8 | 2 | no | — |
| 427 | C22×D7 | — | 8 | 2 | no | — |
| 428 | C22×D7 | — | 8 | 2 | no | — |
| 429 | C22×D7 | — | 8 | 8 | no | — |
| 430 | C22×D7 | — | 8 | 8 | no | — |
| 431 | C22×D7 | — | 8 | 2 | no | — |
| 432 | C22×D7 | — | 8 | 1 | no | — |
| 433 | C22×D7 | — | 8 | 1 | no | — |
| 434 | C22×D7 | #121 | 1 | 1 | yes | characteristic |
| 435 | C22×D7 | #121 | 1 | 1 | yes | characteristic |
| 436 | C7×Q8 | — | 2 | 1 | no | — |
| 437 | C7×Q8 | — | 2 | 1 | no | — |
| 438 | C7×D4 | — | 2 | 1 | no | — |
| 439 | C7×D4 | — | 2 | 2 | no | — |
| 440 | C7×D4 | — | 2 | 1 | no | — |
| 441 | C7×D4 | — | 2 | 2 | no | — |
| 442 | C7×D4 | — | 4 | 1 | no | — |
| 443 | C7×D4 | — | 4 | 1 | no | — |
| 444 | C7×D4 | — | 4 | 1 | no | — |
| 445 | C7×D4 | — | 4 | 1 | no | — |
| 446 | C2×C4×C7 | — | 2 | 1 | no | — |
| 447 | C2×C4×C7 | — | 4 | 1 | no | — |
| 448 | C2×C4×C7 | — | 4 | 1 | no | — |
| 449 | C2×C4×C7 | — | 4 | 1 | no | — |
| 450 | C2×C4×C7 | — | 8 | 1 | no | — |
| 451 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 452 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 453 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 454 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 455 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 456 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 457 | C22⋊D7 | — | 2 | 2 | no | — |
| 458 | C22⋊D7 | — | 2 | 2 | no | — |
| 459 | C22⋊D7 | — | 4 | 2 | no | — |
| 460 | C22⋊D7 | — | 4 | 2 | no | — |
| 461 | C22⋊D7 | — | 4 | 4 | no | — |
| 462 | C22⋊D7 | — | 4 | 4 | no | — |
| 463 | C2×Dic7 | — | 2 | 1 | no | — |
| 464 | C2×Dic7 | — | 2 | 1 | no | — |
| 465 | C2×Dic7 | — | 2 | 1 | no | — |
| 466 | C2×Dic7 | — | 4 | 2 | no | — |
| 467 | C2×Dic7 | — | 4 | 1 | no | — |
| 468 | C2×Dic7 | — | 4 | 1 | no | — |
| 469 | C2×Dic7 | — | 4 | 1 | no | — |
| 470 | C2×Dic7 | #121 | 1 | 1 | yes | characteristic |
| 471 | C2×Dic7 | #121 | 1 | 1 | yes | characteristic |
| 472 | D28 | — | 2 | 2 | no | — |
| 473 | D28 | — | 2 | 1 | no | — |
| 474 | D28 | — | 2 | 2 | no | — |
| 475 | D28 | — | 4 | 2 | no | — |
| 476 | D28 | — | 4 | 1 | no | — |
| 477 | D28 | — | 4 | 1 | no | — |
| 478 | D28 | #120 | 1 | 2 | yes | — |
| 479 | C4×D7 | — | 2 | 1 | no | — |
| 480 | C4×D7 | — | 2 | 1 | no | — |
| 481 | C4×D7 | — | 2 | 1 | no | — |
| 482 | C4×D7 | — | 2 | 1 | no | — |
| 483 | C4×D7 | — | 2 | 2 | no | — |
| 484 | C4×D7 | — | 2 | 2 | no | — |
| 485 | C4×D7 | — | 2 | 1 | no | — |
| 486 | C4×D7 | — | 2 | 1 | no | — |
| 487 | C4×D7 | — | 2 | 1 | no | — |
| 488 | C4×D7 | — | 2 | 1 | no | — |
| 489 | C4×D7 | — | 4 | 2 | no | — |
| 490 | C4×D7 | — | 4 | 2 | no | — |
| 491 | Dic14 | — | 2 | 1 | no | — |
| 492 | Dic14 | — | 4 | 2 | no | — |
| 493 | Dic14 | — | 4 | 1 | no | — |
| 494 | Dic14 | — | 4 | 1 | no | — |
| 495 | Dic14 | — | 4 | 1 | no | — |
| 496 | Dic14 | — | 4 | 1 | no | — |
| 497 | Dic14 | #120 | 1 | 2 | yes | — |
| 498 | C7×C8 | — | 2 | 2 | no | — |
| 499 | C7×C8 | — | 2 | 1 | no | — |
| 500 | C7×C8 | — | 2 | 1 | no | — |
| 501 | C7×C8 | — | 4 | 1 | no | — |
| 502 | C7×C8 | — | 4 | 1 | no | — |
| 503 | C7⋊C8 | — | 2 | 2 | no | — |
| 504 | C7⋊C8 | — | 2 | 1 | no | — |
| 505 | C7⋊C8 | — | 2 | 1 | no | — |
| 506 | C7⋊C8 | — | 4 | 1 | no | — |
| 507 | C7⋊C8 | — | 4 | 1 | no | — |
| 508 | C25 | — | 14 | 1 | no | — |
| 509 | C2×#41 | — | 7 | 1 | no | — |
| 510 | C2×#41 | — | 7 | 1 | no | — |
| 511 | C2×#41 | — | 7 | 1 | no | — |
| 512 | C2×#41 | — | 14 | 1 | no | — |
| 513 | C2×#41 | — | 14 | 1 | no | — |
| 514 | C2×#41 | — | 14 | 2 | no | — |
| 515 | C2×#41 | — | 14 | 2 | no | — |
| 516 | C2×#41 | — | 28 | 1 | no | — |
| 517 | C2×#41 | — | 28 | 1 | no | — |
| 518 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 519 | C22×Q8 | — | 7 | 1 | no | — |
| 520 | C22×Q8 | — | 7 | 1 | no | — |
| 521 | C22×D4 | — | 7 | 1 | no | — |
| 522 | C22×D4 | — | 7 | 1 | no | — |
| 523 | C22×D4 | — | 14 | 1 | no | — |
| 524 | C22×D4 | — | 14 | 1 | no | — |
| 525 | C22×D4 | — | 14 | 1 | no | — |
| 526 | C22×D4 | — | 14 | 1 | no | — |
| 527 | C22×D4 | — | 14 | 1 | no | — |
| 528 | C22×D4 | — | 14 | 2 | no | — |
| 529 | C22×D4 | — | 14 | 1 | no | — |
| 530 | C22×D4 | — | 14 | 2 | no | — |
| 531 | C22×D4 | — | 28 | 1 | no | — |
| 532 | C22×D4 | — | 28 | 1 | no | — |
| 533 | C22×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 534 | C23×C4 | — | 7 | 1 | no | — |
| 535 | C23×C4 | — | 14 | 1 | no | — |
| 536 | #137 | — | 14 | 2 | no | — |
| 537 | #137 | — | 14 | 2 | no | — |
| 538 | #137 | — | 28 | 1 | no | — |
| 539 | #137 | — | 28 | 1 | no | — |
| 540 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 541 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 542 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 543 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 544 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 545 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 546 | AGL(1,ℤ/8) | — | 14 | 8 | no | — |
| 547 | AGL(1,ℤ/8) | — | 14 | 8 | no | — |
| 548 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 549 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 550 | C2×Q16 | — | 14 | 1 | no | — |
| 551 | C2×Q16 | — | 14 | 1 | no | — |
| 552 | C2×SD16 | — | 2 | 1 | no | — |
| 553 | C2×SD16 | — | 14 | 1 | no | — |
| 554 | C2×SD16 | — | 14 | 2 | no | — |
| 555 | C2×SD16 | — | 14 | 1 | no | — |
| 556 | C2×SD16 | — | 14 | 1 | no | — |
| 557 | C2×SD16 | — | 14 | 1 | no | — |
| 558 | C2×SD16 | — | 14 | 8 | no | — |
| 559 | C2×SD16 | — | 14 | 1 | no | — |
| 560 | C2×SD16 | — | 14 | 1 | no | — |
| 561 | C2×SD16 | — | 14 | 2 | no | — |
| 562 | C2×SD16 | — | 14 | 1 | no | — |
| 563 | C2×SD16 | — | 14 | 1 | no | — |
| 564 | C2×SD16 | — | 14 | 1 | no | — |
| 565 | C2×SD16 | — | 28 | 1 | no | — |
| 566 | C2×SD16 | — | 28 | 1 | no | — |
| 567 | C2×D8 | — | 2 | 1 | no | — |
| 568 | C2×D8 | — | 14 | 1 | no | — |
| 569 | C2×D8 | — | 14 | 8 | no | — |
| 570 | C2×D8 | — | 14 | 1 | no | — |
| 571 | C2×D8 | — | 14 | 1 | no | — |
| 572 | #131 | — | 14 | 2 | no | — |
| 573 | #131 | — | 14 | 2 | no | — |
| 574 | #131 | — | 28 | 1 | no | — |
| 575 | #131 | — | 28 | 1 | no | — |
| 576 | C2×M16 | — | 7 | 1 | no | — |
| 577 | C2×M16 | — | 7 | 1 | no | — |
| 578 | C2×M16 | — | 7 | 1 | no | — |
| 579 | C2×M16 | — | 14 | 1 | no | — |
| 580 | C2×M16 | — | 14 | 1 | no | — |
| 581 | C2×M16 | — | 14 | 2 | no | — |
| 582 | C2×M16 | — | 14 | 2 | no | — |
| 583 | C2×M16 | — | 14 | 1 | no | — |
| 584 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 585 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 586 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 587 | C22×C8 | — | 7 | 1 | no | — |
| 588 | C22×C8 | — | 14 | 1 | no | — |
| 589 | C22×C8 | — | 14 | 1 | no | — |
| 590 | C22×C8 | — | 14 | 1 | no | — |
| 591 | C22×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 592 | C22⋊Q8 | — | 14 | 1 | no | — |
| 593 | C22⋊Q8 | — | 14 | 1 | no | — |
| 594 | C22⋊Q8 | — | 14 | 1 | no | — |
| 595 | C22⋊Q8 | — | 14 | 1 | no | — |
| 596 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 597 | C2×C4⋊C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 598 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 599 | #108 | — | 2 | 2 | no | — |
| 600 | #108 | — | 14 | 2 | no | — |
| 601 | #103 | — | 2 | 1 | no | — |
| 602 | #103 | — | 14 | 1 | no | — |
| 603 | #102 | — | 2 | 1 | no | — |
| 604 | #102 | — | 2 | 1 | no | — |
| 605 | #102 | — | 2 | 1 | no | — |
| 606 | #102 | — | 14 | 1 | no | — |
| 607 | #102 | — | 14 | 1 | no | — |
| 608 | #102 | — | 14 | 1 | no | — |
| 609 | #101 | — | 14 | 2 | no | — |
| 610 | #101 | — | 14 | 2 | no | — |
| 611 | #100 | — | 2 | 2 | no | — |
| 612 | #100 | — | 14 | 2 | no | — |
| 613 | #100 | — | 28 | 1 | no | — |
| 614 | #100 | — | 28 | 1 | no | — |
| 615 | C22⋊C8 | — | 2 | 1 | no | — |
| 616 | C22⋊C8 | — | 2 | 1 | no | — |
| 617 | C22⋊C8 | — | 7 | 1 | no | — |
| 618 | C22⋊C8 | — | 7 | 1 | no | — |
| 619 | C22⋊C8 | — | 7 | 1 | no | — |
| 620 | C22⋊C8 | — | 7 | 1 | no | — |
| 621 | C22⋊C8 | — | 14 | 1 | no | — |
| 622 | C22⋊C8 | — | 14 | 1 | no | — |
| 623 | C22⋊C8 | — | 14 | 1 | no | — |
| 624 | C22⋊C8 | — | 14 | 1 | no | — |
| 625 | C22⋊C8 | — | 14 | 1 | no | — |
| 626 | C22⋊C8 | — | 14 | 1 | no | — |
| 627 | C22×C7 | — | 2 | 1 | no | — |
| 628 | C22×C7 | — | 2 | 1 | no | — |
| 629 | C22×C7 | — | 4 | 1 | no | — |
| 630 | C22×C7 | — | 4 | 2 | no | — |
| 631 | C22×C7 | — | 4 | 1 | no | — |
| 632 | C22×C7 | — | 4 | 1 | no | — |
| 633 | C22×C7 | — | 8 | 2 | no | — |
| 634 | C22×C7 | — | 8 | 2 | no | — |
| 635 | C22×C7 | — | 8 | 1 | no | — |
| 636 | C22×C7 | — | 8 | 1 | no | — |
| 637 | C22×C7 | C2×#121 | 1 | 1 | yes | characteristic |
| 638 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 639 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 640 | C2×D7 | — | 2 | 1 | no | — |
| 641 | C2×D7 | — | 2 | 1 | no | — |
| 642 | C2×D7 | — | 2 | 1 | no | — |
| 643 | C2×D7 | — | 2 | 2 | no | — |
| 644 | C2×D7 | — | 2 | 1 | no | — |
| 645 | C2×D7 | — | 2 | 1 | no | — |
| 646 | C2×D7 | — | 4 | 2 | no | — |
| 647 | C2×D7 | — | 4 | 2 | no | — |
| 648 | C2×D7 | — | 4 | 1 | no | — |
| 649 | C2×D7 | — | 4 | 1 | no | — |
| 650 | C2×D7 | — | 4 | 2 | no | — |
| 651 | C2×D7 | — | 8 | 4 | no | — |
| 652 | C2×D7 | — | 8 | 8 | no | — |
| 653 | C2×D7 | — | 8 | 8 | no | — |
| 654 | C2×D7 | — | 8 | 2 | no | — |
| 655 | C2×D7 | — | 8 | 1 | no | — |
| 656 | C2×D7 | — | 8 | 1 | no | — |
| 657 | C2×D7 | — | 8 | 2 | no | — |
| 658 | C2×D7 | #471 | 1 | 2 | yes | complemented |
| 659 | C4×C7 | — | 4 | 1 | no | — |
| 660 | C4×C7 | — | 8 | 1 | no | — |
| 661 | C4×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 662 | C4×C7 | #534 | 1 | 1 | yes | characteristic |
| 663 | C4×C7 | D42 | 1 | 1 | yes | characteristic |
| 664 | C4×C7 | D42 | 1 | 1 | yes | characteristic |
| 665 | Dic7 | — | 2 | 2 | no | — |
| 666 | Dic7 | — | 2 | 1 | no | — |
| 667 | Dic7 | — | 2 | 1 | no | — |
| 668 | Dic7 | — | 8 | 1 | no | — |
| 669 | C24 | — | 2 | 1 | no | — |
| 670 | C24 | — | 7 | 1 | no | — |
| 671 | C24 | — | 14 | 1 | no | — |
| 672 | C24 | — | 14 | 1 | no | — |
| 673 | C24 | — | 28 | 2 | no | — |
| 674 | C24 | — | 28 | 1 | no | — |
| 675 | C24 | — | 28 | 1 | no | — |
| 676 | C24 | — | 28 | 2 | no | — |
| 677 | C24 | — | 56 | 2 | no | — |
| 678 | C24 | — | 56 | 2 | no | — |
| 679 | #41 | — | 2 | 1 | no | — |
| 680 | #41 | — | 2 | 1 | no | — |
| 681 | #41 | — | 2 | 1 | no | — |
| 682 | #41 | — | 2 | 1 | no | — |
| 683 | #41 | — | 7 | 2 | no | — |
| 684 | #41 | — | 7 | 2 | no | — |
| 685 | #41 | — | 14 | 1 | no | — |
| 686 | #41 | — | 14 | 1 | no | — |
| 687 | #41 | — | 14 | 2 | no | — |
| 688 | #41 | — | 14 | 2 | no | — |
| 689 | #41 | — | 28 | 2 | no | — |
| 690 | #41 | — | 28 | 2 | no | — |
| 691 | #41 | — | 28 | 1 | no | — |
| 692 | #41 | — | 28 | 2 | no | — |
| 693 | #41 | — | 28 | 2 | no | — |
| 694 | #41 | — | 28 | 1 | no | — |
| 695 | C2×Q8 | — | 7 | 1 | no | — |
| 696 | C2×Q8 | — | 14 | 1 | no | — |
| 697 | C2×Q8 | — | 14 | 2 | no | — |
| 698 | C2×Q8 | — | 14 | 1 | no | — |
| 699 | C2×Q8 | — | 14 | 1 | no | — |
| 700 | C2×Q8 | — | 14 | 1 | no | — |
| 701 | C2×Q8 | — | 14 | 1 | no | — |
| 702 | C2×Q8 | — | 14 | 1 | no | — |
| 703 | C2×Q8 | — | 14 | 1 | no | — |
| 704 | C2×Q8 | — | 28 | 1 | no | — |
| 705 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 706 | C2×D4 | — | 2 | 1 | no | — |
| 707 | C2×D4 | — | 2 | 1 | no | — |
| 708 | C2×D4 | — | 2 | 1 | no | — |
| 709 | C2×D4 | — | 2 | 1 | no | — |
| 710 | C2×D4 | — | 2 | 1 | no | — |
| 711 | C2×D4 | — | 2 | 1 | no | — |
| 712 | C2×D4 | — | 7 | 1 | no | — |
| 713 | C2×D4 | — | 7 | 2 | no | — |
| 714 | C2×D4 | — | 14 | 1 | no | — |
| 715 | C2×D4 | — | 14 | 1 | no | — |
| 716 | C2×D4 | — | 14 | 2 | no | — |
| 717 | C2×D4 | — | 14 | 4 | no | — |
| 718 | C2×D4 | — | 14 | 4 | no | — |
| 719 | C2×D4 | — | 14 | 1 | no | — |
| 720 | C2×D4 | — | 14 | 1 | no | — |
| 721 | C2×D4 | — | 14 | 1 | no | — |
| 722 | C2×D4 | — | 14 | 1 | no | — |
| 723 | C2×D4 | — | 14 | 1 | no | — |
| 724 | C2×D4 | — | 14 | 1 | no | — |
| 725 | C2×D4 | — | 14 | 1 | no | — |
| 726 | C2×D4 | — | 28 | 1 | no | — |
| 727 | C2×D4 | — | 28 | 1 | no | — |
| 728 | C2×D4 | — | 28 | 1 | no | — |
| 729 | C2×D4 | — | 28 | 2 | no | — |
| 730 | C2×D4 | — | 28 | 2 | no | — |
| 731 | C2×D4 | — | 28 | 2 | no | — |
| 732 | C2×D4 | — | 28 | 2 | no | — |
| 733 | C2×D4 | — | 28 | 2 | no | — |
| 734 | C2×D4 | — | 28 | 2 | no | — |
| 735 | C2×D4 | — | 28 | 2 | no | — |
| 736 | C2×D4 | — | 28 | 2 | no | — |
| 737 | C2×D4 | — | 28 | 2 | no | — |
| 738 | C2×D4 | — | 28 | 2 | no | — |
| 739 | C2×D4 | D4×D7 | 1 | 2 | yes | — |
| 740 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 741 | C22×C4 | — | 2 | 1 | no | — |
| 742 | C22×C4 | — | 2 | 1 | no | — |
| 743 | C22×C4 | — | 7 | 1 | no | — |
| 744 | C22×C4 | — | 7 | 1 | no | — |
| 745 | C22×C4 | — | 7 | 1 | no | — |
| 746 | C22×C4 | — | 7 | 1 | no | — |
| 747 | C22×C4 | — | 7 | 1 | no | — |
| 748 | C22×C4 | — | 14 | 1 | no | — |
| 749 | C22×C4 | — | 14 | 1 | no | — |
| 750 | C22×C4 | — | 14 | 1 | no | — |
| 751 | C22×C4 | — | 14 | 1 | no | — |
| 752 | C22×C4 | — | 14 | 1 | no | — |
| 753 | C22×C4 | — | 14 | 1 | no | — |
| 754 | C22×C4 | — | 14 | 1 | no | — |
| 755 | C22×C4 | — | 14 | 1 | no | — |
| 756 | C22×C4 | — | 14 | 1 | no | — |
| 757 | C22×C4 | — | 28 | 2 | no | — |
| 758 | C22×C4 | — | 28 | 2 | no | — |
| 759 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 760 | Q16 | — | 28 | 2 | no | — |
| 761 | Q16 | — | 28 | 2 | no | — |
| 762 | SD16 | — | 2 | 4 | no | — |
| 763 | SD16 | — | 14 | 4 | no | — |
| 764 | SD16 | — | 14 | 4 | no | — |
| 765 | SD16 | — | 14 | 4 | no | — |
| 766 | SD16 | — | 28 | 2 | no | — |
| 767 | SD16 | — | 28 | 2 | no | — |
| 768 | SD16 | — | 28 | 2 | no | — |
| 769 | SD16 | — | 28 | 2 | no | — |
| 770 | SD16 | — | 28 | 2 | no | — |
| 771 | SD16 | — | 28 | 2 | no | — |
| 772 | D8 | — | 2 | 4 | no | — |
| 773 | D8 | — | 14 | 4 | no | — |
| 774 | D8 | — | 14 | 4 | no | — |
| 775 | D8 | — | 14 | 4 | no | — |
| 776 | M16 | — | 2 | 1 | no | — |
| 777 | M16 | — | 2 | 1 | no | — |
| 778 | M16 | — | 2 | 1 | no | — |
| 779 | M16 | — | 2 | 1 | no | — |
| 780 | M16 | — | 2 | 1 | no | — |
| 781 | M16 | — | 7 | 2 | no | — |
| 782 | M16 | — | 14 | 4 | no | — |
| 783 | M16 | — | 14 | 1 | no | — |
| 784 | M16 | — | 14 | 1 | no | — |
| 785 | M16 | — | 14 | 1 | no | — |
| 786 | M16 | — | 14 | 1 | no | — |
| 787 | M16 | — | 14 | 1 | no | — |
| 788 | M16 | — | 28 | 2 | no | — |
| 789 | M16 | — | 28 | 2 | no | — |
| 790 | M16 | D4×D7 | 1 | 2 | yes | — |
| 791 | C2×C8 | — | 2 | 1 | no | — |
| 792 | C2×C8 | — | 2 | 1 | no | — |
| 793 | C2×C8 | — | 2 | 1 | no | — |
| 794 | C2×C8 | — | 2 | 1 | no | — |
| 795 | C2×C8 | — | 2 | 1 | no | — |
| 796 | C2×C8 | — | 7 | 1 | no | — |
| 797 | C2×C8 | — | 7 | 1 | no | — |
| 798 | C2×C8 | — | 14 | 4 | no | — |
| 799 | C2×C8 | — | 14 | 1 | no | — |
| 800 | C2×C8 | — | 14 | 1 | no | — |
| 801 | C2×C8 | — | 14 | 1 | no | — |
| 802 | C2×C8 | — | 14 | 1 | no | — |
| 803 | C2×C8 | — | 14 | 1 | no | — |
| 804 | C2×C8 | — | 28 | 2 | no | — |
| 805 | C2×C8 | — | 28 | 2 | no | — |
| 806 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 807 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 808 | C4⋊C4 | — | 2 | 1 | no | — |
| 809 | C4⋊C4 | — | 2 | 1 | no | — |
| 810 | C4⋊C4 | — | 28 | 1 | no | — |
| 811 | C4⋊C4 | — | 28 | 1 | no | — |
| 812 | C22⋊C4 | — | 28 | 1 | no | — |
| 813 | C22⋊C4 | — | 28 | 1 | no | — |
| 814 | C2×C7 | — | 2 | 1 | no | — |
| 815 | C2×C7 | — | 2 | 1 | no | — |
| 816 | C2×C7 | — | 8 | 2 | no | — |
| 817 | C2×C7 | — | 8 | 1 | no | — |
| 818 | C2×C7 | #2410 | 1 | 1 | yes | characteristic |
| 819 | C2×C7 | C2×#471 | 1 | 1 | yes | characteristic |
| 820 | C2×C7 | #3068 | 1 | 1 | yes | characteristic |
| 821 | D7 | — | 2 | 2 | no | — |
| 822 | D7 | — | 4 | 1 | no | — |
| 823 | D7 | — | 4 | 2 | no | — |
| 824 | D7 | — | 8 | 2 | no | — |
| 825 | C23 | — | 2 | 1 | no | — |
| 826 | C23 | — | 2 | 2 | no | — |
| 827 | C23 | — | 4 | 1 | no | — |
| 828 | C23 | — | 4 | 1 | no | — |
| 829 | C23 | — | 7 | 1 | no | — |
| 830 | C23 | — | 7 | 1 | no | — |
| 831 | C23 | — | 8 | 1 | no | — |
| 832 | C23 | — | 8 | 1 | no | — |
| 833 | C23 | — | 14 | 2 | no | — |
| 834 | C23 | — | 14 | 1 | no | — |
| 835 | C23 | — | 14 | 1 | no | — |
| 836 | C23 | — | 14 | 1 | no | — |
| 837 | C23 | — | 14 | 2 | no | — |
| 838 | C23 | — | 28 | 1 | no | — |
| 839 | C23 | — | 28 | 2 | no | — |
| 840 | C23 | — | 28 | 2 | no | — |
| 841 | C23 | — | 28 | 4 | no | — |
| 842 | C23 | — | 28 | 4 | no | — |
| 843 | C23 | — | 28 | 1 | no | — |
| 844 | C23 | — | 28 | 1 | no | — |
| 845 | C23 | — | 56 | 1 | no | — |
| 846 | C23 | — | 56 | 1 | no | — |
| 847 | C23 | — | 56 | 1 | no | — |
| 848 | C23 | — | 56 | 2 | no | — |
| 849 | C23 | — | 56 | 2 | no | — |
| 850 | C23 | — | 56 | 2 | no | — |
| 851 | C23 | — | 56 | 2 | no | — |
| 852 | C23 | — | 56 | 8 | no | — |
| 853 | C23 | — | 56 | 8 | no | — |
| 854 | C23 | D7×#41 | 1 | 1 | yes | characteristic |
| 855 | Q8 | — | 2 | 1 | no | — |
| 856 | Q8 | — | 2 | 1 | no | — |
| 857 | Q8 | — | 7 | 2 | no | — |
| 858 | Q8 | — | 14 | 1 | no | — |
| 859 | Q8 | — | 28 | 2 | no | — |
| 860 | Q8 | — | 28 | 1 | no | — |
| 861 | Q8 | — | 28 | 1 | no | — |
| 862 | Q8 | — | 28 | 1 | no | — |
| 863 | Q8 | — | 28 | 1 | no | — |
| 864 | D4 | — | 2 | 1 | no | — |
| 865 | D4 | — | 2 | 2 | no | — |
| 866 | D4 | — | 2 | 2 | no | — |
| 867 | D4 | — | 2 | 1 | no | — |
| 868 | D4 | — | 4 | 1 | no | — |
| 869 | D4 | — | 4 | 1 | no | — |
| 870 | D4 | — | 4 | 1 | no | — |
| 871 | D4 | — | 4 | 1 | no | — |
| 872 | D4 | — | 7 | 2 | no | — |
| 873 | D4 | — | 14 | 2 | no | — |
| 874 | D4 | — | 14 | 2 | no | — |
| 875 | D4 | — | 14 | 2 | no | — |
| 876 | D4 | — | 14 | 2 | no | — |
| 877 | D4 | — | 14 | 1 | no | — |
| 878 | D4 | — | 28 | 2 | no | — |
| 879 | D4 | — | 28 | 2 | no | — |
| 880 | D4 | — | 28 | 2 | no | — |
| 881 | D4 | — | 28 | 4 | no | — |
| 882 | D4 | — | 28 | 4 | no | — |
| 883 | D4 | — | 28 | 1 | no | — |
| 884 | D4 | — | 28 | 1 | no | — |
| 885 | C2×C4 | — | 2 | 1 | no | — |
| 886 | C2×C4 | — | 4 | 1 | no | — |
| 887 | C2×C4 | — | 4 | 1 | no | — |
| 888 | C2×C4 | — | 4 | 1 | no | — |
| 889 | C2×C4 | — | 7 | 1 | no | — |
| 890 | C2×C4 | — | 7 | 1 | no | — |
| 891 | C2×C4 | — | 8 | 1 | no | — |
| 892 | C2×C4 | — | 14 | 1 | no | — |
| 893 | C2×C4 | — | 14 | 1 | no | — |
| 894 | C2×C4 | — | 14 | 1 | no | — |
| 895 | C2×C4 | — | 14 | 1 | no | — |
| 896 | C2×C4 | — | 14 | 1 | no | — |
| 897 | C2×C4 | — | 14 | 2 | no | — |
| 898 | C2×C4 | — | 14 | 2 | no | — |
| 899 | C2×C4 | — | 14 | 1 | no | — |
| 900 | C2×C4 | — | 14 | 1 | no | — |
| 901 | C2×C4 | — | 14 | 1 | no | — |
| 902 | C2×C4 | — | 14 | 1 | no | — |
| 903 | C2×C4 | — | 14 | 1 | no | — |
| 904 | C2×C4 | — | 14 | 1 | no | — |
| 905 | C2×C4 | — | 28 | 2 | no | — |
| 906 | C2×C4 | — | 28 | 2 | no | — |
| 907 | C2×C4 | — | 28 | 2 | no | — |
| 908 | C2×C4 | — | 28 | 1 | no | — |
| 909 | C2×C4 | — | 28 | 1 | no | — |
| 910 | C2×C4 | — | 28 | 1 | no | — |
| 911 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 912 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 913 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 914 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 915 | C2×C4 | #6553 | 1 | 1 | yes | characteristic |
| 916 | C2×C4 | #6553 | 1 | 1 | yes | characteristic |
| 917 | C8 | — | 2 | 2 | no | — |
| 918 | C8 | — | 2 | 1 | no | — |
| 919 | C8 | — | 2 | 1 | no | — |
| 920 | C8 | — | 4 | 1 | no | — |
| 921 | C8 | — | 4 | 1 | no | — |
| 922 | C8 | — | 14 | 2 | no | — |
| 923 | C8 | — | 14 | 1 | no | — |
| 924 | C8 | — | 14 | 1 | no | — |
| 925 | C8 | — | 28 | 1 | no | — |
| 926 | C8 | — | 28 | 1 | no | — |
| 927 | C7 | #24399 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 928 | C22 | — | 2 | 1 | no | — |
| 929 | C22 | — | 2 | 1 | no | — |
| 930 | C22 | — | 4 | 1 | no | — |
| 931 | C22 | — | 4 | 1 | no | — |
| 932 | C22 | — | 4 | 1 | no | — |
| 933 | C22 | — | 4 | 2 | no | — |
| 934 | C22 | — | 7 | 2 | no | — |
| 935 | C22 | — | 8 | 2 | no | — |
| 936 | C22 | — | 8 | 2 | no | — |
| 937 | C22 | — | 8 | 1 | no | — |
| 938 | C22 | — | 8 | 1 | no | — |
| 939 | C22 | — | 14 | 1 | no | — |
| 940 | C22 | — | 14 | 1 | no | — |
| 941 | C22 | — | 14 | 1 | no | — |
| 942 | C22 | — | 14 | 1 | no | — |
| 943 | C22 | — | 14 | 1 | no | — |
| 944 | C22 | — | 14 | 2 | no | — |
| 945 | C22 | — | 28 | 2 | no | — |
| 946 | C22 | — | 28 | 2 | no | — |
| 947 | C22 | — | 28 | 1 | no | — |
| 948 | C22 | — | 28 | 1 | no | — |
| 949 | C22 | — | 28 | 2 | no | — |
| 950 | C22 | — | 56 | 2 | no | — |
| 951 | C22 | — | 56 | 2 | no | — |
| 952 | C22 | — | 56 | 4 | no | — |
| 953 | C22 | — | 56 | 8 | no | — |
| 954 | C22 | — | 56 | 8 | no | — |
| 955 | C22 | — | 56 | 1 | no | — |
| 956 | C22 | — | 56 | 1 | no | — |
| 957 | C22 | D7×#121 | 1 | 1 | yes | characteristic |
| 958 | C22 | #90345 | 1 | 1 | yes | characteristic |
| 959 | C22 | #90367 | 1 | 1 | yes | characteristic |
| 960 | C4 | — | 4 | 1 | no | — |
| 961 | C4 | — | 8 | 1 | no | — |
| 962 | C4 | — | 14 | 1 | no | — |
| 963 | C4 | — | 14 | 1 | no | — |
| 964 | C4 | — | 14 | 2 | no | — |
| 965 | C4 | — | 56 | 1 | no | — |
| 966 | C4 | D7×#120 | 1 | 1 | yes | characteristic |
| 967 | C4 | #90300 | 1 | 1 | yes | characteristic |
| 968 | C4 | #90300 | 1 | 1 | yes | characteristic |
| 969 | C4 | #90344 | 1 | 1 | yes | characteristic |
| 970 | C2 | — | 2 | 1 | no | — |
| 971 | C2 | — | 2 | 1 | no | — |
| 972 | C2 | — | 8 | 1 | no | — |
| 973 | C2 | — | 8 | 2 | no | — |
| 974 | C2 | — | 14 | 2 | no | — |
| 975 | C2 | — | 28 | 1 | no | — |
| 976 | C2 | — | 28 | 2 | no | — |
| 977 | C2 | — | 56 | 2 | no | — |
| 978 | C2 | #11734553 | 1 | 1 | yes | characteristic |
| 979 | C2 | D7×#471 | 1 | 1 | yes | characteristic |
| 980 | C2 | #11738383 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#89670 | C2 | semidirect |
| 3. #11736330 | C2 | semidirect |
| 4. C2×#89548 | C2 | semidirect |
| 5. C2×#89520 | C2 | semidirect |
| 6. #11736108 | C2 | semidirect |
| 7. C7×#2051 | C2 | semidirect |
| 8. #11729851 | C2 | semidirect |
| 9. #11728467 | C2 | semidirect |
| 10. #11728061 | C2 | semidirect |
| 11. #11727972 | C2 | semidirect |
| 12. #11727833 | C2 | semidirect |
| 13. #11727761 | C2 | semidirect |
| 14. #11726760 | C2 | semidirect |
| 15. #11726747 | C2 | semidirect |
| 19. C2×#6514 | C22 | semidirect |
| 21. C22×#1142 | C22 | semidirect |
| 29. C2×#6472 | C22 | semidirect |
| 31. C2×#6470 | C22 | semidirect |
| 33. C22×#1132 | C22 | semidirect |
| 34. C2×#6464 | C22 | semidirect |
| 36. C2×C7×#108 | C22 | semidirect |
| 37. C7×#417 | C22 | semidirect |
| 38. C2×C7×#102 | C22 | semidirect |
| 39. C2×C7×#100 | C22 | semidirect |
| 40. C7×#408 | C22 | semidirect |
| 41. #90006 | C22 | semidirect |
| 42. C2×#6407 | C22 | semidirect |
| 43. C2×#6398 | C22 | semidirect |
| 44. C2×#6398 | C22 | semidirect |
| 45. C2×#6397 | C22 | semidirect |
| 46. C2×#6397 | C22 | semidirect |
| 49. C2×#6396 | C22 | semidirect |
| 51. #89738 | C22 | semidirect |
| 52. C2×#6383 | C22 | semidirect |
| 67. C7×#343 | C22 | semidirect |
| 68. #89353 | C22 | semidirect |
| 69. #89347 | C22 | semidirect |
| 70. #89325 | C22 | semidirect |
| 198. #2051 | D7 | semidirect |
| 382. C2×#108 | C2×D7 | semidirect |
| 384. #417 | C2×D7 | semidirect |
| 386. C2×#102 | C2×D7 | semidirect |
| 392. C2×#100 | C2×D7 | semidirect |
| 396. #408 | C2×D7 | semidirect |
| 403. #343 | C2×D7 | semidirect |
| 658. C2×D7 | #471 | semidirect |
| 927. C7 | #24399 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D7×AGL(1,ℤ/8) | 2 |
| C2×#89670 | 2 |
| #11736330 | 2 |
| C2×#89548 | 2 |
| C2×#89520 | 2 |
| #11736108 | 2 |
| C7×#2051 | 2 |
| #11729851 | 2 |
| #11728467 | 2 |
| #11728061 | 2 |
| #11727972 | 2 |
| #11727833 | 2 |
| #11727761 | 2 |
| #11726760 | 2 |
| #11726747 | 2 |
| #24399 | 7 |