Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2600 conjugacy classes of subgroups.
The subgroup lattice has 1318 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3×#3586 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87299 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #87287 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #87201 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #84121 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#5246 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #84019 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #84018 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #84014 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #84013 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #84004 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #84003 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #84000 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #83998 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×#5205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #83978 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #83972 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #83816 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #83811 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #61111 | — | 3 | 1 | no | maximal, Sylow |
| 21 | C3×#585 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×C3×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 23 | #5964 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#1010 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3×#578 | — | 2 | 2 | no | — |
| 26 | C3×#578 | C22 | 1 | 4 | yes | complemented |
| 27 | C3×#577 | — | 2 | 2 | no | — |
| 28 | C3×#577 | C22 | 1 | 4 | yes | complemented |
| 29 | C3×#575 | — | 2 | 2 | no | — |
| 30 | C3×#575 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×#575 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×C3×#137 | — | 2 | 2 | no | — |
| 33 | C2×C3×#137 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×C3×#137 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C3×#568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #5838 | — | 2 | 2 | no | — |
| 37 | #5838 | — | 2 | 2 | no | — |
| 38 | #5838 | C22 | 1 | 4 | yes | complemented |
| 39 | #5838 | C22 | 1 | 4 | yes | complemented |
| 40 | #5837 | — | 2 | 2 | no | — |
| 41 | #5837 | C22 | 1 | 4 | yes | complemented |
| 42 | #5836 | — | 2 | 2 | no | — |
| 43 | #5836 | C22 | 1 | 4 | yes | complemented |
| 44 | #5832 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#951 | — | 2 | 2 | no | — |
| 46 | C2×#951 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×#951 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C2×#951 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #5822 | — | 2 | 2 | no | — |
| 50 | #5822 | — | 2 | 2 | no | — |
| 51 | #5822 | C22 | 1 | 1 | yes | characteristic |
| 52 | #5822 | C22 | 1 | 1 | yes | characteristic |
| 53 | #5822 | C22 | 1 | 1 | yes | characteristic |
| 54 | #5822 | C22 | 1 | 1 | yes | characteristic |
| 55 | #5819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #5819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C2×#944 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×#942 | — | 2 | 2 | no | — |
| 59 | C2×#942 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C2×#942 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #5779 | — | 2 | 2 | no | — |
| 62 | D3×#137 | — | 2 | 2 | no | — |
| 63 | #5775 | — | 2 | 2 | no | — |
| 64 | #5773 | — | 2 | 2 | no | — |
| 65 | #5771 | C22 | 1 | 4 | yes | complemented |
| 66 | #5770 | C22 | 1 | 4 | yes | complemented |
| 67 | C2×#909 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #5745 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #5246 | C22 | 1 | 4 | yes | complemented |
| 70 | #5246 | C22 | 1 | 4 | yes | complemented |
| 71 | #5246 | C22 | 1 | 2 | yes | complemented |
| 72 | #5245 | C22 | 1 | 2 | yes | complemented |
| 73 | #5242 | C22 | 1 | 2 | yes | complemented |
| 74 | #5241 | C22 | 1 | 2 | yes | complemented |
| 75 | #5237 | C22 | 1 | 1 | yes | characteristic, complemented |
| 76 | C2×#837 | C22 | 1 | 1 | yes | characteristic, complemented |
| 77 | C2×#837 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | C2×#837 | C22 | 1 | 1 | yes | characteristic, complemented |
| 79 | C2×#836 | C22 | 1 | 1 | yes | characteristic, complemented |
| 80 | #5205 | C22 | 1 | 4 | yes | complemented |
| 81 | #5205 | C22 | 1 | 4 | yes | complemented |
| 82 | #5205 | C22 | 1 | 2 | yes | complemented |
| 83 | #5204 | C22 | 1 | 4 | yes | complemented |
| 84 | #5204 | C22 | 1 | 4 | yes | complemented |
| 85 | #5203 | C22 | 1 | 4 | yes | complemented |
| 86 | #5202 | C22 | 1 | 2 | yes | complemented |
| 87 | #5201 | C22 | 1 | 2 | yes | complemented |
| 88 | #5200 | C22 | 1 | 4 | yes | complemented |
| 89 | #5198 | C22 | 1 | 2 | yes | complemented |
| 90 | #5197 | C22 | 1 | 4 | yes | complemented |
| 91 | #5196 | C22 | 1 | 4 | yes | complemented |
| 92 | #5192 | C22 | 1 | 4 | yes | complemented |
| 93 | #5190 | C22 | 1 | 2 | yes | complemented |
| 94 | #5183 | C22 | 1 | 2 | yes | complemented |
| 95 | #5177 | C22 | 1 | 4 | yes | complemented |
| 96 | #5175 | C22 | 1 | 2 | yes | complemented |
| 97 | #5167 | C22 | 1 | 2 | yes | complemented |
| 98 | #5145 | C22 | 1 | 4 | yes | complemented |
| 99 | #5144 | C22 | 1 | 4 | yes | complemented |
| 100 | #5143 | C22 | 1 | 4 | yes | complemented |
| 101 | #5141 | C22 | 1 | 4 | yes | complemented |
| 102 | C2×#825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 103 | C2×#824 | C22 | 1 | 1 | yes | characteristic, complemented |
| 104 | #5132 | C22 | 1 | 1 | yes | characteristic, complemented |
| 105 | #5125 | C22 | 1 | 1 | yes | characteristic, complemented |
| 106 | #5124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 107 | Dic3×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 108 | #3586 | — | 3 | 1 | no | — |
| 109 | #3586 | — | 3 | 1 | no | — |
| 110 | #3586 | — | 3 | 1 | no | — |
| 111 | #3586 | D3 | 1 | 1 | yes | characteristic, complemented |
| 112 | #3293 | — | 3 | 4 | no | — |
| 113 | #3291 | — | 3 | 4 | no | — |
| 114 | #3289 | — | 3 | 4 | no | — |
| 115 | #3289 | — | 3 | 4 | no | — |
| 116 | #3152 | — | 3 | 1 | no | — |
| 117 | #3069 | — | 3 | 1 | no | — |
| 118 | #3069 | — | 3 | 1 | no | — |
| 119 | #3069 | — | 3 | 1 | no | — |
| 120 | #3069 | — | 3 | 1 | no | — |
| 121 | #3018 | — | 3 | 1 | no | — |
| 122 | #3018 | — | 3 | 1 | no | — |
| 123 | C2×#456 | — | 3 | 1 | no | — |
| 124 | C2×#456 | — | 3 | 1 | no | — |
| 125 | #2956 | — | 3 | 1 | no | — |
| 126 | #2956 | — | 3 | 1 | no | — |
| 127 | C3×2−1+4 | — | 2 | 2 | no | — |
| 128 | C3×2−1+4 | — | 2 | 2 | no | — |
| 129 | C3×2−1+4 | — | 2 | 1 | no | — |
| 130 | C3×2−1+4 | — | 2 | 1 | no | — |
| 131 | C3×2−1+4 | — | 4 | 1 | no | — |
| 132 | C3×2−1+4 | C23 | 1 | 4 | yes | — |
| 133 | C3×2−1+4 | C23 | 1 | 2 | yes | — |
| 134 | C3×H(5,𝔽2) | — | 2 | 1 | no | — |
| 135 | C3×H(5,𝔽2) | — | 2 | 1 | no | — |
| 136 | C3×H(5,𝔽2) | — | 4 | 1 | no | — |
| 137 | C3×H(5,𝔽2) | C23 | 1 | 2 | yes | — |
| 138 | C2×C3×#41 | — | 2 | 2 | no | — |
| 139 | C2×C3×#41 | — | 2 | 2 | no | — |
| 140 | C2×C3×#41 | — | 2 | 1 | no | — |
| 141 | C2×C3×#41 | — | 2 | 1 | no | — |
| 142 | C2×C3×#41 | — | 4 | 1 | no | — |
| 143 | C2×C3×#41 | — | 4 | 1 | no | — |
| 144 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 145 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 147 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 148 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 149 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 150 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 151 | #1010 | — | 2 | 2 | no | — |
| 152 | #1010 | — | 2 | 1 | no | — |
| 153 | #1010 | — | 2 | 2 | no | — |
| 154 | #1010 | — | 4 | 1 | no | — |
| 155 | #1010 | C23 | 1 | 4 | yes | — |
| 156 | #1010 | C23 | 1 | 2 | yes | — |
| 157 | #1009 | — | 2 | 1 | no | — |
| 158 | #1009 | C23 | 1 | 2 | yes | — |
| 159 | D3×#41 | — | 2 | 2 | no | — |
| 160 | D3×#41 | — | 4 | 1 | no | — |
| 161 | #1007 | — | 2 | 1 | no | — |
| 162 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 163 | #1004 | — | 2 | 1 | no | — |
| 164 | #1004 | — | 4 | 1 | no | — |
| 165 | C2×#237 | — | 2 | 1 | no | — |
| 166 | C2×#237 | — | 4 | 1 | no | — |
| 167 | C2×#235 | — | 2 | 2 | no | — |
| 168 | C2×#235 | — | 2 | 1 | no | — |
| 169 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 170 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 171 | C22×Dic6 | — | 2 | 1 | no | — |
| 172 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 173 | C3×#137 | — | 2 | 2 | no | — |
| 174 | C3×#137 | — | 2 | 1 | no | — |
| 175 | C3×#137 | — | 2 | 4 | no | — |
| 176 | C3×#137 | — | 2 | 4 | no | — |
| 177 | C3×#137 | — | 2 | 4 | no | — |
| 178 | C3×#137 | — | 2 | 2 | no | — |
| 179 | C3×#137 | — | 2 | 2 | no | — |
| 180 | C3×#137 | D4 | 1 | 2 | yes | complemented |
| 181 | C3×#137 | D4 | 1 | 2 | yes | complemented |
| 182 | C3×#137 | C23 | 1 | 4 | yes | — |
| 183 | C3×#137 | C23 | 1 | 2 | yes | — |
| 184 | C3×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 185 | C3×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 186 | C3×AGL(1,ℤ/8) | D4 | 1 | 2 | yes | complemented |
| 187 | C3×AGL(1,ℤ/8) | D4 | 1 | 2 | yes | complemented |
| 188 | C3×AGL(1,ℤ/8) | C23 | 1 | 2 | yes | — |
| 189 | C3×#135 | — | 2 | 2 | no | — |
| 190 | C3×#135 | — | 2 | 4 | no | — |
| 191 | C3×#135 | — | 2 | 4 | no | — |
| 192 | C3×#135 | C23 | 1 | 4 | yes | — |
| 193 | C2×C3×Q16 | — | 2 | 1 | no | — |
| 194 | C2×C3×Q16 | — | 2 | 4 | no | — |
| 195 | C2×C3×Q16 | C23 | 1 | 2 | yes | — |
| 196 | C2×C3×SD16 | — | 2 | 1 | no | — |
| 197 | C2×C3×SD16 | — | 2 | 4 | no | — |
| 198 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 199 | C3×#131 | — | 2 | 2 | no | — |
| 200 | C3×#131 | C23 | 1 | 4 | yes | — |
| 201 | C2×C3×M16 | — | 2 | 2 | no | — |
| 202 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 203 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 204 | #951 | — | 2 | 2 | no | — |
| 205 | #951 | — | 2 | 2 | no | — |
| 206 | #951 | — | 2 | 1 | no | — |
| 207 | #951 | — | 2 | 4 | no | — |
| 208 | #951 | — | 2 | 4 | no | — |
| 209 | #951 | — | 2 | 4 | no | — |
| 210 | #951 | — | 2 | 2 | no | — |
| 211 | #951 | — | 2 | 2 | no | — |
| 212 | #951 | D4 | 1 | 2 | yes | complemented |
| 213 | #951 | C23 | 1 | 4 | yes | — |
| 214 | #951 | C23 | 1 | 2 | yes | — |
| 215 | #951 | C23 | 1 | 4 | yes | — |
| 216 | #951 | C23 | 1 | 2 | yes | — |
| 217 | #950 | — | 2 | 2 | no | — |
| 218 | #950 | — | 2 | 2 | no | — |
| 219 | #950 | — | 2 | 2 | no | — |
| 220 | #950 | — | 2 | 4 | no | — |
| 221 | #950 | — | 2 | 4 | no | — |
| 222 | #950 | — | 2 | 4 | no | — |
| 223 | #950 | — | 2 | 4 | no | — |
| 224 | #950 | C23 | 1 | 4 | yes | — |
| 225 | #949 | — | 2 | 1 | no | — |
| 226 | #949 | — | 2 | 4 | no | — |
| 227 | #949 | D4 | 1 | 2 | yes | complemented |
| 228 | #949 | C23 | 1 | 2 | yes | — |
| 229 | #949 | C23 | 1 | 2 | yes | — |
| 230 | #948 | — | 2 | 2 | no | — |
| 231 | #948 | — | 2 | 2 | no | — |
| 232 | #948 | C23 | 1 | 4 | yes | — |
| 233 | #948 | C23 | 1 | 4 | yes | — |
| 234 | #947 | C23 | 1 | 1 | yes | characteristic |
| 235 | #944 | — | 4 | 1 | no | — |
| 236 | #944 | C23 | 1 | 2 | yes | — |
| 237 | #944 | C23 | 1 | 2 | yes | — |
| 238 | #944 | C23 | 1 | 1 | yes | characteristic |
| 239 | C2×#216 | — | 2 | 1 | no | — |
| 240 | C2×#216 | — | 2 | 1 | no | — |
| 241 | C2×#216 | — | 2 | 1 | no | — |
| 242 | C2×#216 | — | 2 | 4 | no | — |
| 243 | C2×#216 | — | 2 | 4 | no | — |
| 244 | C2×#216 | C23 | 1 | 2 | yes | — |
| 245 | C2×#216 | C23 | 1 | 2 | yes | — |
| 246 | #942 | — | 2 | 1 | no | — |
| 247 | #942 | — | 2 | 1 | no | — |
| 248 | #942 | — | 2 | 2 | no | — |
| 249 | #942 | — | 2 | 4 | no | — |
| 250 | #942 | — | 2 | 4 | no | — |
| 251 | #942 | — | 2 | 4 | no | — |
| 252 | #942 | — | 2 | 2 | no | — |
| 253 | #942 | — | 2 | 2 | no | — |
| 254 | #942 | D4 | 1 | 2 | yes | complemented |
| 255 | #942 | C23 | 1 | 4 | yes | — |
| 256 | #942 | C23 | 1 | 2 | yes | — |
| 257 | C2×#215 | — | 2 | 1 | no | — |
| 258 | C2×#215 | — | 2 | 4 | no | — |
| 259 | C2×#215 | C23 | 1 | 2 | yes | — |
| 260 | #940 | C23 | 1 | 1 | yes | characteristic |
| 261 | #939 | — | 4 | 1 | no | — |
| 262 | #936 | C23 | 1 | 1 | yes | characteristic |
| 263 | C2×#214 | — | 2 | 1 | no | — |
| 264 | C2×#214 | — | 2 | 1 | no | — |
| 265 | C2×#214 | — | 2 | 4 | no | — |
| 266 | C2×#214 | C23 | 1 | 2 | yes | — |
| 267 | #932 | — | 2 | 1 | no | — |
| 268 | #932 | — | 2 | 1 | no | — |
| 269 | #932 | — | 2 | 4 | no | — |
| 270 | #932 | D4 | 1 | 2 | yes | complemented |
| 271 | #932 | C23 | 1 | 2 | yes | — |
| 272 | C4×#67 | — | 4 | 1 | no | — |
| 273 | C2×Dic3⋊C4 | — | 4 | 1 | no | — |
| 274 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 275 | C2×#208 | — | 2 | 2 | no | — |
| 276 | C2×#208 | — | 2 | 2 | no | — |
| 277 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 278 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 279 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 280 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 281 | #918 | — | 2 | 4 | no | — |
| 282 | D3×Q16 | — | 2 | 4 | no | — |
| 283 | #916 | — | 2 | 4 | no | — |
| 284 | #915 | — | 2 | 4 | no | — |
| 285 | #915 | — | 2 | 4 | no | — |
| 286 | D3×SD16 | — | 2 | 4 | no | — |
| 287 | #912 | — | 2 | 4 | no | — |
| 288 | #911 | — | 2 | 4 | no | — |
| 289 | #909 | — | 2 | 2 | no | — |
| 290 | #909 | — | 2 | 2 | no | — |
| 291 | #907 | — | 2 | 2 | no | — |
| 292 | D3×M16 | — | 2 | 2 | no | — |
| 293 | C2×Dic12 | C23 | 1 | 2 | yes | — |
| 294 | C2×#204 | C23 | 1 | 2 | yes | — |
| 295 | #901 | C23 | 1 | 4 | yes | — |
| 296 | #837 | C23 | 1 | 2 | yes | — |
| 297 | #837 | C23 | 1 | 2 | yes | — |
| 298 | #837 | C23 | 1 | 2 | yes | — |
| 299 | #837 | C23 | 1 | 2 | yes | — |
| 300 | #837 | C23 | 1 | 2 | yes | — |
| 301 | #837 | C23 | 1 | 2 | yes | — |
| 302 | #836 | C23 | 1 | 4 | yes | — |
| 303 | #836 | C23 | 1 | 2 | yes | — |
| 304 | #833 | C23 | 1 | 2 | yes | — |
| 305 | #825 | C23 | 1 | 2 | yes | — |
| 306 | #825 | C23 | 1 | 2 | yes | — |
| 307 | #824 | C23 | 1 | 2 | yes | — |
| 308 | #824 | C23 | 1 | 4 | yes | — |
| 309 | #823 | C23 | 1 | 2 | yes | — |
| 310 | #822 | C23 | 1 | 4 | yes | — |
| 311 | #819 | C23 | 1 | 4 | yes | — |
| 312 | #815 | C23 | 1 | 2 | yes | — |
| 313 | C8×Dic3 | C23 | 1 | 2 | yes | — |
| 314 | #585 | — | 3 | 1 | no | — |
| 315 | #585 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 316 | C2×2−1+4 | — | 3 | 1 | no | — |
| 317 | C2×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic |
| 318 | #578 | — | 2 | 2 | no | — |
| 319 | #578 | — | 3 | 4 | no | — |
| 320 | #578 | — | 3 | 4 | no | — |
| 321 | #578 | — | 3 | 4 | no | — |
| 322 | #578 | — | 6 | 2 | no | — |
| 323 | #578 | — | 6 | 2 | no | — |
| 324 | #578 | — | 6 | 2 | no | — |
| 325 | #578 | C2×D3 | 1 | 4 | yes | complemented |
| 326 | #577 | — | 2 | 2 | no | — |
| 327 | #577 | — | 3 | 4 | no | — |
| 328 | #577 | — | 3 | 4 | no | — |
| 329 | #577 | — | 3 | 4 | no | — |
| 330 | #577 | — | 6 | 2 | no | — |
| 331 | #577 | — | 6 | 2 | no | — |
| 332 | #577 | — | 6 | 2 | no | — |
| 333 | #577 | C2×D3 | 1 | 4 | yes | complemented |
| 334 | #575 | — | 2 | 2 | no | — |
| 335 | #575 | — | 3 | 1 | no | — |
| 336 | #575 | — | 3 | 1 | no | — |
| 337 | #575 | — | 3 | 1 | no | — |
| 338 | #575 | — | 3 | 1 | no | — |
| 339 | #575 | — | 6 | 2 | no | — |
| 340 | #575 | — | 6 | 2 | no | — |
| 341 | #575 | — | 6 | 2 | no | — |
| 342 | #575 | C2×D3 | 1 | 1 | yes | characteristic |
| 343 | #575 | C2×D3 | 1 | 1 | yes | characteristic |
| 344 | C2×#137 | — | 2 | 2 | no | — |
| 345 | C2×#137 | — | 3 | 1 | no | — |
| 346 | C2×#137 | — | 3 | 1 | no | — |
| 347 | C2×#137 | — | 3 | 1 | no | — |
| 348 | C2×#137 | — | 3 | 1 | no | — |
| 349 | C2×#137 | — | 3 | 1 | no | — |
| 350 | C2×#137 | — | 3 | 1 | no | — |
| 351 | C2×#137 | — | 6 | 2 | no | — |
| 352 | C2×#137 | — | 6 | 2 | no | — |
| 353 | C2×#137 | — | 6 | 2 | no | — |
| 354 | C2×#137 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 355 | C2×#137 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 356 | #568 | — | 3 | 1 | no | — |
| 357 | #568 | — | 3 | 1 | no | — |
| 358 | #568 | — | 3 | 1 | no | — |
| 359 | #568 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 360 | #532 | — | 3 | 1 | no | — |
| 361 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 362 | #497 | — | 3 | 2 | no | — |
| 363 | #497 | — | 3 | 2 | no | — |
| 364 | #494 | — | 3 | 2 | no | — |
| 365 | #492 | — | 3 | 2 | no | — |
| 366 | #473 | — | 3 | 4 | no | — |
| 367 | #473 | — | 3 | 4 | no | — |
| 368 | #473 | — | 3 | 4 | no | — |
| 369 | #473 | — | 3 | 4 | no | — |
| 370 | #471 | — | 3 | 4 | no | — |
| 371 | #471 | — | 3 | 4 | no | — |
| 372 | #471 | — | 3 | 4 | no | — |
| 373 | #471 | — | 3 | 4 | no | — |
| 374 | #456 | — | 3 | 4 | no | — |
| 375 | #456 | — | 3 | 4 | no | — |
| 376 | #456 | — | 3 | 2 | no | — |
| 377 | #456 | — | 3 | 4 | no | — |
| 378 | #456 | — | 3 | 4 | no | — |
| 379 | #456 | — | 3 | 2 | no | — |
| 380 | #455 | — | 3 | 2 | no | — |
| 381 | #455 | — | 3 | 2 | no | — |
| 382 | #454 | — | 3 | 2 | no | — |
| 383 | #454 | — | 3 | 2 | no | — |
| 384 | #453 | — | 3 | 2 | no | — |
| 385 | #453 | — | 3 | 2 | no | — |
| 386 | #444 | — | 3 | 4 | no | — |
| 387 | #444 | — | 3 | 4 | no | — |
| 388 | #443 | — | 3 | 4 | no | — |
| 389 | #443 | — | 3 | 4 | no | — |
| 390 | #430 | — | 3 | 1 | no | — |
| 391 | #430 | — | 3 | 1 | no | — |
| 392 | C2×#104 | — | 3 | 1 | no | — |
| 393 | C2×#104 | — | 3 | 1 | no | — |
| 394 | C2×#104 | — | 3 | 1 | no | — |
| 395 | C2×#104 | — | 3 | 1 | no | — |
| 396 | #413 | — | 3 | 1 | no | — |
| 397 | #413 | — | 3 | 1 | no | — |
| 398 | C2×#101 | — | 3 | 1 | no | — |
| 399 | C2×#101 | — | 3 | 1 | no | — |
| 400 | C4×M16 | — | 3 | 1 | no | — |
| 401 | C3×#41 | — | 2 | 1 | no | — |
| 402 | C3×#41 | — | 2 | 1 | no | — |
| 403 | C3×#41 | — | 2 | 1 | no | — |
| 404 | C3×#41 | — | 2 | 1 | no | — |
| 405 | C3×#41 | — | 2 | 1 | no | — |
| 406 | C3×#41 | — | 2 | 1 | no | — |
| 407 | C3×#41 | — | 2 | 2 | no | — |
| 408 | C3×#41 | — | 2 | 2 | no | — |
| 409 | C3×#41 | — | 2 | 4 | no | — |
| 410 | C3×#41 | — | 2 | 2 | no | — |
| 411 | C3×#41 | — | 2 | 4 | no | — |
| 412 | C3×#41 | — | 2 | 2 | no | — |
| 413 | C3×#41 | — | 2 | 1 | no | — |
| 414 | C3×#41 | — | 2 | 1 | no | — |
| 415 | C3×#41 | — | 2 | 1 | no | — |
| 416 | C3×#41 | — | 2 | 1 | no | — |
| 417 | C3×#41 | — | 4 | 2 | no | — |
| 418 | C3×#41 | — | 4 | 2 | no | — |
| 419 | C3×#41 | — | 4 | 4 | no | — |
| 420 | C3×#41 | — | 4 | 2 | no | — |
| 421 | C3×#41 | — | 4 | 2 | no | — |
| 422 | C3×#41 | — | 4 | 2 | no | — |
| 423 | C3×#41 | — | 4 | 2 | no | — |
| 424 | C3×#41 | — | 4 | 4 | no | — |
| 425 | C3×#41 | — | 4 | 1 | no | — |
| 426 | C3×#41 | — | 4 | 1 | no | — |
| 427 | C3×#41 | C2×D4 | 1 | 2 | yes | — |
| 428 | C3×#41 | C2×D4 | 1 | 2 | yes | — |
| 429 | C3×#41 | C2×D4 | 1 | 2 | yes | — |
| 430 | C3×#41 | C24 | 1 | 2 | yes | — |
| 431 | C3×#41 | C24 | 1 | 2 | yes | — |
| 432 | C3×#41 | C24 | 1 | 2 | yes | — |
| 433 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 434 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 435 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 436 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 437 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 438 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 439 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 440 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 441 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 442 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 443 | C2×C3×Q8 | — | 4 | 2 | no | — |
| 444 | C2×C3×Q8 | — | 4 | 2 | no | — |
| 445 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 446 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 447 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 448 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 449 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 450 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 451 | C2×C3×D4 | — | 2 | 1 | no | — |
| 452 | C2×C3×D4 | — | 2 | 1 | no | — |
| 453 | C2×C3×D4 | — | 2 | 1 | no | — |
| 454 | C2×C3×D4 | — | 2 | 2 | no | — |
| 455 | C2×C3×D4 | — | 2 | 2 | no | — |
| 456 | C2×C3×D4 | — | 2 | 1 | no | — |
| 457 | C2×C3×D4 | — | 4 | 2 | no | — |
| 458 | C2×C3×D4 | — | 4 | 1 | no | — |
| 459 | C2×C3×D4 | — | 4 | 2 | no | — |
| 460 | C2×C3×D4 | — | 4 | 2 | no | — |
| 461 | C2×C3×D4 | — | 4 | 1 | no | — |
| 462 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 463 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 464 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 465 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 466 | C22×C3×C4 | — | 2 | 1 | no | — |
| 467 | C22×C3×C4 | — | 2 | 1 | no | — |
| 468 | C22×C3×C4 | — | 2 | 1 | no | — |
| 469 | C22×C3×C4 | — | 2 | 1 | no | — |
| 470 | C22×C3×C4 | — | 2 | 1 | no | — |
| 471 | C22×C3×C4 | — | 4 | 2 | no | — |
| 472 | C22×C3×C4 | — | 4 | 1 | no | — |
| 473 | C22×C3×C4 | — | 4 | 1 | no | — |
| 474 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 475 | C2×#67 | — | 2 | 1 | no | — |
| 476 | C2×#67 | — | 2 | 1 | no | — |
| 477 | C2×#67 | — | 4 | 1 | no | — |
| 478 | C2×#67 | — | 4 | 2 | no | — |
| 479 | C2×#67 | — | 4 | 1 | no | — |
| 480 | C22×Dic3 | — | 2 | 1 | no | — |
| 481 | C22×Dic3 | — | 2 | 1 | no | — |
| 482 | C22×Dic3 | — | 4 | 1 | no | — |
| 483 | #239 | — | 2 | 2 | no | — |
| 484 | #239 | — | 4 | 1 | no | — |
| 485 | D3×Q8 | — | 2 | 4 | no | — |
| 486 | D3×Q8 | — | 2 | 2 | no | — |
| 487 | D3×Q8 | — | 4 | 1 | no | — |
| 488 | D3×Q8 | — | 4 | 2 | no | — |
| 489 | #237 | — | 2 | 4 | no | — |
| 490 | #237 | — | 2 | 2 | no | — |
| 491 | #237 | — | 4 | 1 | no | — |
| 492 | #237 | — | 4 | 2 | no | — |
| 493 | #237 | — | 4 | 4 | no | — |
| 494 | #237 | — | 4 | 2 | no | — |
| 495 | #237 | — | 4 | 2 | no | — |
| 496 | #237 | — | 4 | 4 | no | — |
| 497 | D3×D4 | — | 2 | 2 | no | — |
| 498 | D3×D4 | — | 4 | 1 | no | — |
| 499 | D3×D4 | — | 4 | 2 | no | — |
| 500 | D3×D4 | — | 4 | 2 | no | — |
| 501 | #235 | — | 2 | 1 | no | — |
| 502 | #235 | — | 2 | 1 | no | — |
| 503 | #235 | — | 2 | 1 | no | — |
| 504 | #235 | — | 2 | 1 | no | — |
| 505 | #235 | — | 2 | 1 | no | — |
| 506 | #235 | — | 2 | 1 | no | — |
| 507 | #235 | — | 2 | 4 | no | — |
| 508 | #235 | — | 2 | 2 | no | — |
| 509 | #235 | — | 2 | 2 | no | — |
| 510 | #235 | — | 4 | 2 | no | — |
| 511 | #235 | — | 4 | 2 | no | — |
| 512 | #235 | — | 4 | 2 | no | — |
| 513 | #235 | C2×D4 | 1 | 2 | yes | — |
| 514 | #235 | C24 | 1 | 2 | yes | — |
| 515 | C2×D12 | — | 2 | 2 | no | — |
| 516 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 517 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 518 | C2×C4×D3 | — | 2 | 1 | no | — |
| 519 | C2×C4×D3 | — | 2 | 1 | no | — |
| 520 | C2×C4×D3 | — | 4 | 2 | no | — |
| 521 | C2×C4×D3 | — | 4 | 1 | no | — |
| 522 | C2×Dic6 | — | 2 | 1 | no | — |
| 523 | C2×Dic6 | — | 2 | 1 | no | — |
| 524 | C2×Dic6 | — | 2 | 1 | no | — |
| 525 | C2×Dic6 | — | 2 | 1 | no | — |
| 526 | C2×Dic6 | — | 2 | 4 | no | — |
| 527 | C2×Dic6 | — | 2 | 2 | no | — |
| 528 | C2×Dic6 | — | 2 | 1 | no | — |
| 529 | C2×Dic6 | — | 4 | 2 | no | — |
| 530 | C2×Dic6 | — | 4 | 1 | no | — |
| 531 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 532 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 533 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 534 | C3×Q16 | — | 2 | 4 | no | — |
| 535 | C3×Q16 | — | 2 | 2 | no | — |
| 536 | C3×Q16 | — | 2 | 4 | no | — |
| 537 | C3×Q16 | C2×D4 | 1 | 4 | yes | — |
| 538 | C3×SD16 | — | 2 | 2 | no | — |
| 539 | C3×SD16 | — | 2 | 4 | no | — |
| 540 | C3×SD16 | — | 2 | 2 | no | — |
| 541 | C3×SD16 | — | 2 | 4 | no | — |
| 542 | C3×SD16 | C2×D4 | 1 | 4 | yes | — |
| 543 | C3×SD16 | C2×D4 | 1 | 4 | yes | — |
| 544 | C3×D8 | — | 2 | 2 | no | — |
| 545 | C3×D8 | C2×D4 | 1 | 4 | yes | — |
| 546 | C3×M16 | — | 2 | 1 | no | — |
| 547 | C3×M16 | — | 2 | 4 | no | — |
| 548 | C3×M16 | C2×D4 | 1 | 2 | yes | — |
| 549 | C3×M16 | C2×D4 | 1 | 2 | yes | — |
| 550 | C3×M16 | C24 | 1 | 2 | yes | — |
| 551 | C2×C3×C8 | — | 2 | 1 | no | — |
| 552 | C2×C3×C8 | — | 2 | 4 | no | — |
| 553 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 554 | #217 | — | 4 | 1 | no | — |
| 555 | #216 | — | 2 | 2 | no | — |
| 556 | #216 | — | 2 | 4 | no | — |
| 557 | #216 | — | 2 | 2 | no | — |
| 558 | #216 | — | 2 | 4 | no | — |
| 559 | #216 | — | 2 | 4 | no | — |
| 560 | #216 | — | 2 | 2 | no | — |
| 561 | #216 | — | 2 | 4 | no | — |
| 562 | #216 | — | 2 | 4 | no | — |
| 563 | #216 | C2×D4 | 1 | 4 | yes | — |
| 564 | #215 | — | 2 | 2 | no | — |
| 565 | #215 | — | 2 | 2 | no | — |
| 566 | #215 | — | 2 | 4 | no | — |
| 567 | #215 | — | 2 | 2 | no | — |
| 568 | #215 | — | 2 | 4 | no | — |
| 569 | #215 | C2×D4 | 1 | 4 | yes | — |
| 570 | #214 | — | 2 | 4 | no | — |
| 571 | #214 | — | 2 | 2 | no | — |
| 572 | #214 | — | 2 | 4 | no | — |
| 573 | #214 | — | 2 | 2 | no | — |
| 574 | #214 | — | 2 | 2 | no | — |
| 575 | #214 | — | 2 | 4 | no | — |
| 576 | #214 | C2×D4 | 1 | 4 | yes | — |
| 577 | #213 | — | 2 | 2 | no | — |
| 578 | #213 | — | 2 | 2 | no | — |
| 579 | #213 | — | 2 | 2 | no | — |
| 580 | #213 | C2×D4 | 1 | 4 | yes | — |
| 581 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 582 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 583 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 584 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 585 | C4×Dic3 | — | 2 | 1 | no | — |
| 586 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 587 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 588 | #208 | — | 2 | 1 | no | — |
| 589 | #208 | — | 2 | 1 | no | — |
| 590 | #208 | — | 2 | 1 | no | — |
| 591 | #208 | — | 2 | 4 | no | — |
| 592 | #208 | — | 2 | 4 | no | — |
| 593 | #208 | C2×D4 | 1 | 2 | yes | — |
| 594 | #208 | C2×D4 | 1 | 2 | yes | — |
| 595 | #208 | C24 | 1 | 2 | yes | — |
| 596 | #208 | C24 | 1 | 2 | yes | — |
| 597 | #208 | C24 | 1 | 2 | yes | — |
| 598 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 599 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 600 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 601 | C2×C3⋊C8 | — | 2 | 4 | no | — |
| 602 | C2×C3⋊C8 | — | 2 | 4 | no | — |
| 603 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 604 | Dic12 | — | 2 | 4 | no | — |
| 605 | #204 | — | 2 | 4 | no | — |
| 606 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 607 | D3×C8 | — | 2 | 4 | no | — |
| 608 | 2−1+4 | — | 2 | 2 | no | — |
| 609 | 2−1+4 | — | 2 | 2 | no | — |
| 610 | 2−1+4 | — | 2 | 1 | no | — |
| 611 | 2−1+4 | — | 2 | 1 | no | — |
| 612 | 2−1+4 | — | 3 | 4 | no | — |
| 613 | 2−1+4 | — | 3 | 2 | no | — |
| 614 | 2−1+4 | — | 4 | 1 | no | — |
| 615 | 2−1+4 | — | 6 | 1 | no | — |
| 616 | 2−1+4 | — | 6 | 2 | no | — |
| 617 | 2−1+4 | — | 6 | 2 | no | — |
| 618 | 2−1+4 | — | 6 | 1 | no | — |
| 619 | 2−1+4 | — | 12 | 1 | no | — |
| 620 | 2−1+4 | C22×D3 | 1 | 4 | yes | — |
| 621 | 2−1+4 | C22×D3 | 1 | 2 | yes | — |
| 622 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 623 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 624 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 625 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 626 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 627 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 628 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 629 | H(5,𝔽2) | C22×D3 | 1 | 2 | yes | — |
| 630 | C2×#41 | — | 2 | 2 | no | — |
| 631 | C2×#41 | — | 2 | 2 | no | — |
| 632 | C2×#41 | — | 2 | 1 | no | — |
| 633 | C2×#41 | — | 2 | 1 | no | — |
| 634 | C2×#41 | — | 3 | 1 | no | — |
| 635 | C2×#41 | — | 3 | 1 | no | — |
| 636 | C2×#41 | — | 4 | 1 | no | — |
| 637 | C2×#41 | — | 4 | 1 | no | — |
| 638 | C2×#41 | — | 6 | 1 | no | — |
| 639 | C2×#41 | — | 6 | 2 | no | — |
| 640 | C2×#41 | — | 6 | 2 | no | — |
| 641 | C2×#41 | — | 6 | 1 | no | — |
| 642 | C2×#41 | — | 12 | 1 | no | — |
| 643 | C2×#41 | — | 12 | 1 | no | — |
| 644 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 645 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 646 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 647 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 648 | C22×Q8 | — | 2 | 1 | no | — |
| 649 | C22×Q8 | — | 2 | 1 | no | — |
| 650 | C22×Q8 | — | 3 | 1 | no | — |
| 651 | C22×Q8 | — | 6 | 1 | no | — |
| 652 | C22×Q8 | — | 6 | 1 | no | — |
| 653 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 654 | #137 | — | 2 | 2 | no | — |
| 655 | #137 | — | 2 | 1 | no | — |
| 656 | #137 | — | 2 | 4 | no | — |
| 657 | #137 | — | 2 | 4 | no | — |
| 658 | #137 | — | 2 | 4 | no | — |
| 659 | #137 | — | 2 | 2 | no | — |
| 660 | #137 | — | 2 | 2 | no | — |
| 661 | #137 | — | 3 | 2 | no | — |
| 662 | #137 | — | 3 | 2 | no | — |
| 663 | #137 | — | 3 | 4 | no | — |
| 664 | #137 | — | 3 | 4 | no | — |
| 665 | #137 | — | 3 | 2 | no | — |
| 666 | #137 | — | 3 | 2 | no | — |
| 667 | #137 | — | 3 | 4 | no | — |
| 668 | #137 | — | 3 | 2 | no | — |
| 669 | #137 | — | 6 | 2 | no | — |
| 670 | #137 | — | 6 | 2 | no | — |
| 671 | #137 | — | 6 | 2 | no | — |
| 672 | #137 | — | 6 | 2 | no | — |
| 673 | #137 | — | 6 | 4 | no | — |
| 674 | #137 | — | 6 | 4 | no | — |
| 675 | #137 | — | 6 | 4 | no | — |
| 676 | #137 | — | 6 | 4 | no | — |
| 677 | #137 | — | 6 | 4 | no | — |
| 678 | #137 | — | 6 | 4 | no | — |
| 679 | #137 | — | 6 | 2 | no | — |
| 680 | #137 | — | 6 | 1 | no | — |
| 681 | #137 | — | 6 | 2 | no | — |
| 682 | #137 | — | 6 | 2 | no | — |
| 683 | #137 | — | 6 | 1 | no | — |
| 684 | #137 | — | 6 | 1 | no | — |
| 685 | #137 | — | 6 | 4 | no | — |
| 686 | #137 | — | 6 | 4 | no | — |
| 687 | #137 | — | 6 | 4 | no | — |
| 688 | #137 | — | 6 | 2 | no | — |
| 689 | #137 | — | 6 | 2 | no | — |
| 690 | #137 | #67 | 1 | 2 | yes | complemented |
| 691 | #137 | #67 | 1 | 2 | yes | complemented |
| 692 | #137 | C22×D3 | 1 | 4 | yes | — |
| 693 | #137 | C22×D3 | 1 | 2 | yes | — |
| 694 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 695 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 696 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 697 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 698 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 699 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 700 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 701 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 702 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 703 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 704 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 705 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 706 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 707 | AGL(1,ℤ/8) | #67 | 1 | 2 | yes | complemented |
| 708 | AGL(1,ℤ/8) | #67 | 1 | 2 | yes | complemented |
| 709 | AGL(1,ℤ/8) | C22×D3 | 1 | 2 | yes | — |
| 710 | #135 | — | 2 | 2 | no | — |
| 711 | #135 | — | 2 | 4 | no | — |
| 712 | #135 | — | 2 | 4 | no | — |
| 713 | #135 | — | 3 | 4 | no | — |
| 714 | #135 | — | 6 | 4 | no | — |
| 715 | #135 | — | 6 | 4 | no | — |
| 716 | #135 | — | 6 | 4 | no | — |
| 717 | #135 | — | 6 | 4 | no | — |
| 718 | #135 | — | 6 | 2 | no | — |
| 719 | #135 | — | 6 | 2 | no | — |
| 720 | #135 | — | 6 | 2 | no | — |
| 721 | #135 | — | 6 | 4 | no | — |
| 722 | #135 | — | 6 | 4 | no | — |
| 723 | #135 | C22×D3 | 1 | 4 | yes | — |
| 724 | C2×Q16 | — | 2 | 1 | no | — |
| 725 | C2×Q16 | — | 2 | 4 | no | — |
| 726 | C2×Q16 | — | 3 | 2 | no | — |
| 727 | C2×Q16 | — | 3 | 2 | no | — |
| 728 | C2×Q16 | — | 3 | 2 | no | — |
| 729 | C2×Q16 | — | 6 | 4 | no | — |
| 730 | C2×Q16 | — | 6 | 4 | no | — |
| 731 | C2×Q16 | — | 6 | 1 | no | — |
| 732 | C2×Q16 | — | 6 | 1 | no | — |
| 733 | C2×Q16 | — | 6 | 1 | no | — |
| 734 | C2×Q16 | — | 6 | 4 | no | — |
| 735 | C2×Q16 | C22×D3 | 1 | 2 | yes | — |
| 736 | C2×SD16 | — | 2 | 1 | no | — |
| 737 | C2×SD16 | — | 2 | 4 | no | — |
| 738 | C2×SD16 | — | 3 | 2 | no | — |
| 739 | C2×SD16 | — | 3 | 2 | no | — |
| 740 | C2×SD16 | — | 3 | 2 | no | — |
| 741 | C2×SD16 | — | 6 | 4 | no | — |
| 742 | C2×SD16 | — | 6 | 4 | no | — |
| 743 | C2×SD16 | — | 6 | 1 | no | — |
| 744 | C2×SD16 | — | 6 | 1 | no | — |
| 745 | C2×SD16 | — | 6 | 1 | no | — |
| 746 | C2×SD16 | — | 6 | 4 | no | — |
| 747 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 748 | #131 | — | 2 | 2 | no | — |
| 749 | #131 | — | 3 | 4 | no | — |
| 750 | #131 | — | 3 | 4 | no | — |
| 751 | #131 | — | 3 | 4 | no | — |
| 752 | #131 | — | 6 | 2 | no | — |
| 753 | #131 | — | 6 | 2 | no | — |
| 754 | #131 | — | 6 | 2 | no | — |
| 755 | #131 | C22×D3 | 1 | 4 | yes | — |
| 756 | C2×M16 | — | 2 | 2 | no | — |
| 757 | C2×M16 | — | 3 | 1 | no | — |
| 758 | C2×M16 | — | 3 | 1 | no | — |
| 759 | C2×M16 | — | 3 | 1 | no | — |
| 760 | C2×M16 | — | 3 | 1 | no | — |
| 761 | C2×M16 | — | 6 | 2 | no | — |
| 762 | C2×M16 | — | 6 | 2 | no | — |
| 763 | C2×M16 | — | 6 | 2 | no | — |
| 764 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 765 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 766 | C4⋊Q8 | — | 3 | 2 | no | — |
| 767 | C4⋊Q8 | — | 3 | 2 | no | — |
| 768 | C4⋊Q8 | — | 3 | 1 | no | — |
| 769 | C4⋊Q8 | — | 12 | 1 | no | — |
| 770 | #127 | — | 3 | 1 | no | — |
| 771 | #124 | — | 3 | 1 | no | — |
| 772 | #124 | — | 3 | 1 | no | — |
| 773 | #121 | — | 12 | 1 | no | — |
| 774 | C4×D4 | — | 12 | 1 | no | — |
| 775 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 776 | C2×C42 | — | 3 | 1 | no | — |
| 777 | #108 | — | 3 | 4 | no | — |
| 778 | #108 | — | 3 | 4 | no | — |
| 779 | #104 | — | 3 | 2 | no | — |
| 780 | #104 | — | 3 | 2 | no | — |
| 781 | #104 | — | 3 | 2 | no | — |
| 782 | #104 | — | 3 | 2 | no | — |
| 783 | #104 | — | 3 | 2 | no | — |
| 784 | #104 | — | 3 | 2 | no | — |
| 785 | #104 | — | 3 | 2 | no | — |
| 786 | #104 | — | 3 | 2 | no | — |
| 787 | #101 | — | 3 | 4 | no | — |
| 788 | #101 | — | 3 | 2 | no | — |
| 789 | #101 | — | 3 | 4 | no | — |
| 790 | #101 | — | 3 | 2 | no | — |
| 791 | #100 | — | 3 | 2 | no | — |
| 792 | #100 | — | 3 | 2 | no | — |
| 793 | #97 | — | 3 | 2 | no | — |
| 794 | C4×C8 | — | 3 | 2 | no | — |
| 795 | C23×C3 | — | 2 | 1 | no | — |
| 796 | C23×C3 | — | 2 | 1 | no | — |
| 797 | C23×C3 | — | 2 | 1 | no | — |
| 798 | C23×C3 | — | 2 | 1 | no | — |
| 799 | C23×C3 | — | 4 | 2 | no | — |
| 800 | C23×C3 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 801 | C22×D3 | — | 2 | 1 | no | — |
| 802 | C22×D3 | — | 2 | 1 | no | — |
| 803 | C22×D3 | — | 4 | 2 | no | — |
| 804 | C3×Q8 | — | 2 | 1 | no | — |
| 805 | C3×Q8 | — | 2 | 1 | no | — |
| 806 | C3×Q8 | — | 2 | 1 | no | — |
| 807 | C3×Q8 | — | 2 | 2 | no | — |
| 808 | C3×Q8 | — | 2 | 1 | no | — |
| 809 | C3×Q8 | — | 2 | 2 | no | — |
| 810 | C3×Q8 | — | 2 | 1 | no | — |
| 811 | C3×Q8 | — | 4 | 4 | no | — |
| 812 | C3×Q8 | — | 4 | 2 | no | — |
| 813 | C3×Q8 | — | 4 | 1 | no | — |
| 814 | C3×Q8 | — | 4 | 1 | no | — |
| 815 | C3×Q8 | C22×D4 | 1 | 2 | yes | — |
| 816 | C3×Q8 | C22×D4 | 1 | 2 | yes | — |
| 817 | C3×Q8 | C22×D4 | 1 | 2 | yes | — |
| 818 | C3×D4 | — | 2 | 2 | no | — |
| 819 | C3×D4 | — | 2 | 2 | no | — |
| 820 | C3×D4 | — | 2 | 2 | no | — |
| 821 | C3×D4 | — | 2 | 2 | no | — |
| 822 | C3×D4 | — | 2 | 2 | no | — |
| 823 | C3×D4 | — | 2 | 2 | no | — |
| 824 | C3×D4 | — | 2 | 1 | no | — |
| 825 | C3×D4 | — | 2 | 1 | no | — |
| 826 | C3×D4 | — | 2 | 1 | no | — |
| 827 | C3×D4 | — | 2 | 1 | no | — |
| 828 | C3×D4 | — | 2 | 1 | no | — |
| 829 | C3×D4 | — | 4 | 2 | no | — |
| 830 | C3×D4 | — | 4 | 2 | no | — |
| 831 | C3×D4 | — | 4 | 2 | no | — |
| 832 | C3×D4 | — | 4 | 4 | no | — |
| 833 | C3×D4 | — | 4 | 1 | no | — |
| 834 | C3×D4 | — | 4 | 1 | no | — |
| 835 | C3×D4 | C22×D4 | 1 | 2 | yes | — |
| 836 | C3×D4 | C22×D4 | 1 | 2 | yes | — |
| 837 | C3×D4 | C22×D4 | 1 | 2 | yes | — |
| 838 | C2×C3×C4 | — | 2 | 1 | no | — |
| 839 | C2×C3×C4 | — | 2 | 1 | no | — |
| 840 | C2×C3×C4 | — | 2 | 1 | no | — |
| 841 | C2×C3×C4 | — | 2 | 2 | no | — |
| 842 | C2×C3×C4 | — | 2 | 2 | no | — |
| 843 | C2×C3×C4 | — | 2 | 2 | no | — |
| 844 | C2×C3×C4 | — | 2 | 2 | no | — |
| 845 | C2×C3×C4 | — | 2 | 2 | no | — |
| 846 | C2×C3×C4 | — | 2 | 2 | no | — |
| 847 | C2×C3×C4 | — | 2 | 2 | no | — |
| 848 | C2×C3×C4 | — | 2 | 1 | no | — |
| 849 | C2×C3×C4 | — | 4 | 2 | no | — |
| 850 | C2×C3×C4 | — | 4 | 2 | no | — |
| 851 | C2×C3×C4 | — | 4 | 2 | no | — |
| 852 | C2×C3×C4 | — | 4 | 4 | no | — |
| 853 | C2×C3×C4 | — | 4 | 4 | no | — |
| 854 | C2×C3×C4 | — | 4 | 1 | no | — |
| 855 | C2×C3×C4 | — | 4 | 1 | no | — |
| 856 | C2×C3×C4 | — | 4 | 1 | no | — |
| 857 | C2×C3×C4 | — | 4 | 1 | no | — |
| 858 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 859 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 860 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 861 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 862 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 863 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 864 | #67 | — | 2 | 2 | no | — |
| 865 | #67 | — | 2 | 2 | no | — |
| 866 | #67 | — | 4 | 2 | no | — |
| 867 | #67 | — | 4 | 2 | no | — |
| 868 | #67 | — | 4 | 4 | no | — |
| 869 | #67 | — | 4 | 1 | no | — |
| 870 | #67 | — | 4 | 1 | no | — |
| 871 | #67 | — | 8 | 2 | no | — |
| 872 | C2×Dic3 | — | 2 | 1 | no | — |
| 873 | C2×Dic3 | — | 2 | 1 | no | — |
| 874 | C2×Dic3 | — | 2 | 1 | no | — |
| 875 | C2×Dic3 | — | 2 | 2 | no | — |
| 876 | C2×Dic3 | — | 2 | 1 | no | — |
| 877 | C2×Dic3 | — | 4 | 4 | no | — |
| 878 | C2×Dic3 | — | 4 | 2 | no | — |
| 879 | C2×Dic3 | — | 4 | 2 | no | — |
| 880 | C2×Dic3 | — | 4 | 1 | no | — |
| 881 | C2×Dic3 | — | 4 | 1 | no | — |
| 882 | D12 | — | 2 | 1 | no | — |
| 883 | D12 | — | 2 | 1 | no | — |
| 884 | D12 | — | 2 | 1 | no | — |
| 885 | D12 | — | 4 | 2 | no | — |
| 886 | D12 | C22×D4 | 1 | 2 | yes | — |
| 887 | C4×D3 | — | 2 | 2 | no | — |
| 888 | C4×D3 | — | 2 | 2 | no | — |
| 889 | C4×D3 | — | 4 | 2 | no | — |
| 890 | C4×D3 | — | 4 | 2 | no | — |
| 891 | C4×D3 | — | 4 | 4 | no | — |
| 892 | C4×D3 | — | 4 | 1 | no | — |
| 893 | C4×D3 | — | 4 | 1 | no | — |
| 894 | Dic6 | — | 2 | 1 | no | — |
| 895 | Dic6 | — | 2 | 2 | no | — |
| 896 | Dic6 | — | 2 | 1 | no | — |
| 897 | Dic6 | — | 2 | 2 | no | — |
| 898 | Dic6 | — | 2 | 1 | no | — |
| 899 | Dic6 | — | 4 | 4 | no | — |
| 900 | Dic6 | — | 4 | 2 | no | — |
| 901 | Dic6 | — | 4 | 1 | no | — |
| 902 | Dic6 | — | 4 | 1 | no | — |
| 903 | Dic6 | C22×D4 | 1 | 2 | yes | — |
| 904 | C3×C8 | — | 2 | 2 | no | — |
| 905 | C3×C8 | C22×D4 | 1 | 4 | yes | — |
| 906 | C3⋊C8 | — | 2 | 2 | no | — |
| 907 | C3⋊C8 | — | 2 | 2 | no | — |
| 908 | C3⋊C8 | — | 2 | 2 | no | — |
| 909 | C3⋊C8 | C22×D4 | 1 | 4 | yes | — |
| 910 | #41 | — | 2 | 1 | no | — |
| 911 | #41 | — | 2 | 1 | no | — |
| 912 | #41 | — | 2 | 1 | no | — |
| 913 | #41 | — | 2 | 1 | no | — |
| 914 | #41 | — | 2 | 1 | no | — |
| 915 | #41 | — | 2 | 1 | no | — |
| 916 | #41 | — | 2 | 2 | no | — |
| 917 | #41 | — | 2 | 2 | no | — |
| 918 | #41 | — | 2 | 4 | no | — |
| 919 | #41 | — | 2 | 2 | no | — |
| 920 | #41 | — | 2 | 4 | no | — |
| 921 | #41 | — | 2 | 2 | no | — |
| 922 | #41 | — | 2 | 1 | no | — |
| 923 | #41 | — | 2 | 1 | no | — |
| 924 | #41 | — | 2 | 1 | no | — |
| 925 | #41 | — | 2 | 1 | no | — |
| 926 | #41 | — | 3 | 2 | no | — |
| 927 | #41 | — | 3 | 2 | no | — |
| 928 | #41 | — | 4 | 2 | no | — |
| 929 | #41 | — | 4 | 2 | no | — |
| 930 | #41 | — | 4 | 4 | no | — |
| 931 | #41 | — | 4 | 2 | no | — |
| 932 | #41 | — | 4 | 2 | no | — |
| 933 | #41 | — | 4 | 2 | no | — |
| 934 | #41 | — | 4 | 2 | no | — |
| 935 | #41 | — | 4 | 4 | no | — |
| 936 | #41 | — | 4 | 1 | no | — |
| 937 | #41 | — | 4 | 1 | no | — |
| 938 | #41 | — | 6 | 4 | no | — |
| 939 | #41 | — | 6 | 2 | no | — |
| 940 | #41 | — | 6 | 2 | no | — |
| 941 | #41 | — | 6 | 1 | no | — |
| 942 | #41 | — | 6 | 1 | no | — |
| 943 | #41 | — | 6 | 2 | no | — |
| 944 | #41 | — | 6 | 4 | no | — |
| 945 | #41 | — | 6 | 2 | no | — |
| 946 | #41 | — | 6 | 1 | no | — |
| 947 | #41 | — | 6 | 1 | no | — |
| 948 | #41 | — | 6 | 1 | no | — |
| 949 | #41 | — | 6 | 1 | no | — |
| 950 | #41 | — | 12 | 2 | no | — |
| 951 | #41 | — | 12 | 2 | no | — |
| 952 | #41 | — | 12 | 2 | no | — |
| 953 | #41 | — | 12 | 2 | no | — |
| 954 | #41 | — | 12 | 4 | no | — |
| 955 | #41 | — | 12 | 2 | no | — |
| 956 | #41 | — | 12 | 2 | no | — |
| 957 | #41 | — | 12 | 4 | no | — |
| 958 | #41 | — | 12 | 1 | no | — |
| 959 | #41 | — | 12 | 1 | no | — |
| 960 | #41 | D3×D4 | 1 | 2 | yes | — |
| 961 | #41 | C2×#67 | 1 | 2 | yes | — |
| 962 | #41 | C2×#67 | 1 | 2 | yes | — |
| 963 | #41 | C23×D3 | 1 | 2 | yes | — |
| 964 | #41 | C23×D3 | 1 | 2 | yes | — |
| 965 | #41 | C23×D3 | 1 | 2 | yes | — |
| 966 | C2×Q8 | — | 2 | 1 | no | — |
| 967 | C2×Q8 | — | 2 | 4 | no | — |
| 968 | C2×Q8 | — | 2 | 2 | no | — |
| 969 | C2×Q8 | — | 2 | 4 | no | — |
| 970 | C2×Q8 | — | 2 | 2 | no | — |
| 971 | C2×Q8 | — | 2 | 1 | no | — |
| 972 | C2×Q8 | — | 2 | 1 | no | — |
| 973 | C2×Q8 | — | 2 | 1 | no | — |
| 974 | C2×Q8 | — | 2 | 1 | no | — |
| 975 | C2×Q8 | — | 3 | 1 | no | — |
| 976 | C2×Q8 | — | 3 | 1 | no | — |
| 977 | C2×Q8 | — | 3 | 2 | no | — |
| 978 | C2×Q8 | — | 4 | 1 | no | — |
| 979 | C2×Q8 | — | 4 | 2 | no | — |
| 980 | C2×Q8 | — | 4 | 2 | no | — |
| 981 | C2×Q8 | — | 4 | 1 | no | — |
| 982 | C2×Q8 | — | 6 | 4 | no | — |
| 983 | C2×Q8 | — | 6 | 2 | no | — |
| 984 | C2×Q8 | — | 6 | 1 | no | — |
| 985 | C2×Q8 | — | 6 | 4 | no | — |
| 986 | C2×Q8 | — | 6 | 2 | no | — |
| 987 | C2×Q8 | — | 6 | 1 | no | — |
| 988 | C2×Q8 | — | 6 | 1 | no | — |
| 989 | C2×Q8 | — | 6 | 1 | no | — |
| 990 | C2×Q8 | — | 6 | 1 | no | — |
| 991 | C2×Q8 | — | 12 | 1 | no | — |
| 992 | C2×Q8 | — | 12 | 2 | no | — |
| 993 | C2×Q8 | — | 12 | 2 | no | — |
| 994 | C2×Q8 | — | 12 | 1 | no | — |
| 995 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 996 | C2×Q8 | C2×#67 | 1 | 1 | yes | characteristic |
| 997 | C2×Q8 | C2×#67 | 1 | 1 | yes | characteristic |
| 998 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 999 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 1000 | C2×D4 | — | 2 | 1 | no | — |
| 1001 | C2×D4 | — | 2 | 1 | no | — |
| 1002 | C2×D4 | — | 2 | 1 | no | — |
| 1003 | C2×D4 | — | 2 | 2 | no | — |
| 1004 | C2×D4 | — | 2 | 2 | no | — |
| 1005 | C2×D4 | — | 2 | 1 | no | — |
| 1006 | C2×D4 | — | 3 | 1 | no | — |
| 1007 | C2×D4 | — | 3 | 1 | no | — |
| 1008 | C2×D4 | — | 4 | 2 | no | — |
| 1009 | C2×D4 | — | 4 | 1 | no | — |
| 1010 | C2×D4 | — | 4 | 2 | no | — |
| 1011 | C2×D4 | — | 4 | 2 | no | — |
| 1012 | C2×D4 | — | 4 | 1 | no | — |
| 1013 | C2×D4 | — | 6 | 2 | no | — |
| 1014 | C2×D4 | — | 6 | 1 | no | — |
| 1015 | C2×D4 | — | 6 | 2 | no | — |
| 1016 | C2×D4 | — | 6 | 1 | no | — |
| 1017 | C2×D4 | — | 12 | 1 | no | — |
| 1018 | C2×D4 | — | 12 | 2 | no | — |
| 1019 | C2×D4 | — | 12 | 1 | no | — |
| 1020 | C2×D4 | — | 12 | 2 | no | — |
| 1021 | C2×D4 | — | 12 | 2 | no | — |
| 1022 | C2×D4 | — | 12 | 1 | no | — |
| 1023 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 1024 | C2×D4 | C2×#67 | 1 | 1 | yes | characteristic |
| 1025 | C2×D4 | C2×#67 | 1 | 1 | yes | characteristic |
| 1026 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 1027 | C22×C4 | — | 2 | 1 | no | — |
| 1028 | C22×C4 | — | 2 | 1 | no | — |
| 1029 | C22×C4 | — | 2 | 1 | no | — |
| 1030 | C22×C4 | — | 2 | 1 | no | — |
| 1031 | C22×C4 | — | 2 | 1 | no | — |
| 1032 | C22×C4 | — | 4 | 2 | no | — |
| 1033 | C22×C4 | — | 4 | 1 | no | — |
| 1034 | C22×C4 | — | 4 | 1 | no | — |
| 1035 | C22×C4 | — | 6 | 1 | no | — |
| 1036 | C22×C4 | — | 6 | 1 | no | — |
| 1037 | C22×C4 | — | 6 | 1 | no | — |
| 1038 | C22×C4 | — | 6 | 1 | no | — |
| 1039 | C22×C4 | — | 12 | 2 | no | — |
| 1040 | C22×C4 | — | 12 | 1 | no | — |
| 1041 | C22×C4 | — | 12 | 1 | no | — |
| 1042 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 1043 | Q16 | — | 2 | 4 | no | — |
| 1044 | Q16 | — | 2 | 2 | no | — |
| 1045 | Q16 | — | 2 | 4 | no | — |
| 1046 | Q16 | — | 3 | 4 | no | — |
| 1047 | Q16 | — | 6 | 4 | no | — |
| 1048 | Q16 | — | 6 | 4 | no | — |
| 1049 | Q16 | — | 6 | 4 | no | — |
| 1050 | Q16 | — | 6 | 2 | no | — |
| 1051 | Q16 | — | 6 | 4 | no | — |
| 1052 | Q16 | — | 6 | 2 | no | — |
| 1053 | Q16 | — | 6 | 4 | no | — |
| 1054 | Q16 | — | 6 | 2 | no | — |
| 1055 | Q16 | — | 6 | 4 | no | — |
| 1056 | Q16 | C2×#67 | 1 | 4 | yes | — |
| 1057 | SD16 | — | 2 | 2 | no | — |
| 1058 | SD16 | — | 2 | 4 | no | — |
| 1059 | SD16 | — | 2 | 2 | no | — |
| 1060 | SD16 | — | 2 | 4 | no | — |
| 1061 | SD16 | — | 3 | 4 | no | — |
| 1062 | SD16 | — | 3 | 4 | no | — |
| 1063 | SD16 | — | 6 | 4 | no | — |
| 1064 | SD16 | — | 6 | 4 | no | — |
| 1065 | SD16 | — | 6 | 2 | no | — |
| 1066 | SD16 | — | 6 | 4 | no | — |
| 1067 | SD16 | — | 6 | 2 | no | — |
| 1068 | SD16 | — | 6 | 2 | no | — |
| 1069 | SD16 | — | 6 | 2 | no | — |
| 1070 | SD16 | — | 6 | 4 | no | — |
| 1071 | SD16 | — | 6 | 2 | no | — |
| 1072 | SD16 | — | 6 | 4 | no | — |
| 1073 | SD16 | — | 6 | 2 | no | — |
| 1074 | SD16 | — | 6 | 4 | no | — |
| 1075 | SD16 | C2×#67 | 1 | 4 | yes | — |
| 1076 | SD16 | C2×#67 | 1 | 4 | yes | — |
| 1077 | D8 | — | 2 | 2 | no | — |
| 1078 | D8 | — | 3 | 4 | no | — |
| 1079 | D8 | — | 6 | 2 | no | — |
| 1080 | D8 | — | 6 | 2 | no | — |
| 1081 | D8 | — | 6 | 2 | no | — |
| 1082 | D8 | C2×#67 | 1 | 4 | yes | — |
| 1083 | M16 | — | 2 | 1 | no | — |
| 1084 | M16 | — | 2 | 4 | no | — |
| 1085 | M16 | — | 3 | 2 | no | — |
| 1086 | M16 | — | 3 | 2 | no | — |
| 1087 | M16 | — | 3 | 2 | no | — |
| 1088 | M16 | — | 3 | 2 | no | — |
| 1089 | M16 | — | 3 | 2 | no | — |
| 1090 | M16 | — | 6 | 4 | no | — |
| 1091 | M16 | — | 6 | 4 | no | — |
| 1092 | M16 | — | 6 | 1 | no | — |
| 1093 | M16 | — | 6 | 1 | no | — |
| 1094 | M16 | — | 6 | 1 | no | — |
| 1095 | M16 | — | 6 | 4 | no | — |
| 1096 | M16 | C2×#67 | 1 | 2 | yes | — |
| 1097 | M16 | C2×#67 | 1 | 2 | yes | — |
| 1098 | M16 | C23×D3 | 1 | 2 | yes | — |
| 1099 | C2×C8 | — | 2 | 1 | no | — |
| 1100 | C2×C8 | — | 2 | 4 | no | — |
| 1101 | C2×C8 | — | 3 | 2 | no | — |
| 1102 | C2×C8 | — | 6 | 4 | no | — |
| 1103 | C2×C8 | — | 6 | 4 | no | — |
| 1104 | C2×C8 | — | 6 | 1 | no | — |
| 1105 | C2×C8 | — | 6 | 1 | no | — |
| 1106 | C2×C8 | — | 6 | 1 | no | — |
| 1107 | C2×C8 | — | 6 | 4 | no | — |
| 1108 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 1109 | C4⋊C4 | — | 12 | 2 | no | — |
| 1110 | C4⋊C4 | — | 12 | 2 | no | — |
| 1111 | C4⋊C4 | — | 12 | 1 | no | — |
| 1112 | C22⋊C4 | — | 12 | 1 | no | — |
| 1113 | C22⋊C4 | — | 12 | 1 | no | — |
| 1114 | C42 | — | 3 | 1 | no | — |
| 1115 | C42 | — | 3 | 1 | no | — |
| 1116 | C42 | — | 6 | 1 | no | — |
| 1117 | C22×C3 | — | 2 | 2 | no | — |
| 1118 | C22×C3 | — | 2 | 2 | no | — |
| 1119 | C22×C3 | — | 2 | 2 | no | — |
| 1120 | C22×C3 | — | 4 | 1 | no | — |
| 1121 | C22×C3 | — | 4 | 1 | no | — |
| 1122 | C22×C3 | — | 8 | 1 | no | — |
| 1123 | C22×C3 | — | 8 | 1 | no | — |
| 1124 | C22×C3 | — | 8 | 1 | no | — |
| 1125 | C22×C3 | — | 8 | 1 | no | — |
| 1126 | C22×C3 | — | 16 | 2 | no | — |
| 1127 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 1128 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 1129 | C22×C3 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1130 | C2×D3 | — | 2 | 2 | no | — |
| 1131 | C2×D3 | — | 4 | 1 | no | — |
| 1132 | C2×D3 | — | 8 | 1 | no | — |
| 1133 | C2×D3 | — | 8 | 1 | no | — |
| 1134 | C2×D3 | — | 16 | 2 | no | — |
| 1135 | C3×C4 | — | 2 | 2 | no | — |
| 1136 | C3×C4 | — | 2 | 2 | no | — |
| 1137 | C3×C4 | — | 2 | 2 | no | — |
| 1138 | C3×C4 | — | 4 | 1 | no | — |
| 1139 | C3×C4 | — | 4 | 2 | no | — |
| 1140 | C3×C4 | D42 | 1 | 1 | yes | characteristic |
| 1141 | C3×C4 | D42 | 1 | 1 | yes | characteristic |
| 1142 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1143 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1144 | Dic3 | — | 2 | 2 | no | — |
| 1145 | Dic3 | — | 2 | 2 | no | — |
| 1146 | Dic3 | — | 4 | 1 | no | — |
| 1147 | Dic3 | — | 4 | 2 | no | — |
| 1148 | Dic3 | — | 4 | 1 | no | — |
| 1149 | C23 | — | 2 | 1 | no | — |
| 1150 | C23 | — | 2 | 1 | no | — |
| 1151 | C23 | — | 2 | 1 | no | — |
| 1152 | C23 | — | 2 | 1 | no | — |
| 1153 | C23 | — | 4 | 2 | no | — |
| 1154 | C23 | — | 6 | 1 | no | — |
| 1155 | C23 | — | 6 | 1 | no | — |
| 1156 | C23 | — | 12 | 2 | no | — |
| 1157 | C23 | #1004 | 1 | 1 | yes | characteristic |
| 1158 | Q8 | — | 2 | 1 | no | — |
| 1159 | Q8 | — | 2 | 1 | no | — |
| 1160 | Q8 | — | 2 | 1 | no | — |
| 1161 | Q8 | — | 2 | 2 | no | — |
| 1162 | Q8 | — | 2 | 1 | no | — |
| 1163 | Q8 | — | 2 | 2 | no | — |
| 1164 | Q8 | — | 2 | 1 | no | — |
| 1165 | Q8 | — | 3 | 2 | no | — |
| 1166 | Q8 | — | 4 | 4 | no | — |
| 1167 | Q8 | — | 4 | 2 | no | — |
| 1168 | Q8 | — | 4 | 1 | no | — |
| 1169 | Q8 | — | 4 | 1 | no | — |
| 1170 | Q8 | — | 6 | 1 | no | — |
| 1171 | Q8 | — | 6 | 2 | no | — |
| 1172 | Q8 | — | 6 | 1 | no | — |
| 1173 | Q8 | — | 6 | 2 | no | — |
| 1174 | Q8 | — | 6 | 1 | no | — |
| 1175 | Q8 | — | 12 | 4 | no | — |
| 1176 | Q8 | — | 12 | 2 | no | — |
| 1177 | Q8 | — | 12 | 1 | no | — |
| 1178 | Q8 | — | 12 | 1 | no | — |
| 1179 | Q8 | C2×D3×D4 | 1 | 2 | yes | — |
| 1180 | Q8 | C22×#67 | 1 | 2 | yes | — |
| 1181 | Q8 | C22×#67 | 1 | 2 | yes | — |
| 1182 | D4 | — | 2 | 2 | no | — |
| 1183 | D4 | — | 2 | 2 | no | — |
| 1184 | D4 | — | 2 | 2 | no | — |
| 1185 | D4 | — | 2 | 2 | no | — |
| 1186 | D4 | — | 2 | 2 | no | — |
| 1187 | D4 | — | 2 | 2 | no | — |
| 1188 | D4 | — | 2 | 1 | no | — |
| 1189 | D4 | — | 2 | 1 | no | — |
| 1190 | D4 | — | 2 | 1 | no | — |
| 1191 | D4 | — | 2 | 1 | no | — |
| 1192 | D4 | — | 2 | 1 | no | — |
| 1193 | D4 | — | 3 | 2 | no | — |
| 1194 | D4 | — | 4 | 2 | no | — |
| 1195 | D4 | — | 4 | 2 | no | — |
| 1196 | D4 | — | 4 | 2 | no | — |
| 1197 | D4 | — | 4 | 4 | no | — |
| 1198 | D4 | — | 4 | 1 | no | — |
| 1199 | D4 | — | 4 | 1 | no | — |
| 1200 | D4 | — | 6 | 2 | no | — |
| 1201 | D4 | — | 6 | 2 | no | — |
| 1202 | D4 | — | 6 | 1 | no | — |
| 1203 | D4 | — | 6 | 1 | no | — |
| 1204 | D4 | — | 6 | 1 | no | — |
| 1205 | D4 | — | 12 | 2 | no | — |
| 1206 | D4 | — | 12 | 2 | no | — |
| 1207 | D4 | — | 12 | 2 | no | — |
| 1208 | D4 | — | 12 | 4 | no | — |
| 1209 | D4 | — | 12 | 1 | no | — |
| 1210 | D4 | — | 12 | 1 | no | — |
| 1211 | D4 | — | 24 | 2 | no | — |
| 1212 | D4 | C2×D3×D4 | 1 | 2 | yes | — |
| 1213 | D4 | C22×#67 | 1 | 2 | yes | — |
| 1214 | D4 | C22×#67 | 1 | 2 | yes | — |
| 1215 | C2×C4 | — | 2 | 1 | no | — |
| 1216 | C2×C4 | — | 2 | 1 | no | — |
| 1217 | C2×C4 | — | 2 | 1 | no | — |
| 1218 | C2×C4 | — | 2 | 2 | no | — |
| 1219 | C2×C4 | — | 2 | 2 | no | — |
| 1220 | C2×C4 | — | 2 | 2 | no | — |
| 1221 | C2×C4 | — | 2 | 2 | no | — |
| 1222 | C2×C4 | — | 2 | 2 | no | — |
| 1223 | C2×C4 | — | 2 | 2 | no | — |
| 1224 | C2×C4 | — | 2 | 1 | no | — |
| 1225 | C2×C4 | — | 2 | 2 | no | — |
| 1226 | C2×C4 | — | 4 | 2 | no | — |
| 1227 | C2×C4 | — | 4 | 2 | no | — |
| 1228 | C2×C4 | — | 4 | 2 | no | — |
| 1229 | C2×C4 | — | 4 | 4 | no | — |
| 1230 | C2×C4 | — | 4 | 4 | no | — |
| 1231 | C2×C4 | — | 4 | 1 | no | — |
| 1232 | C2×C4 | — | 4 | 1 | no | — |
| 1233 | C2×C4 | — | 4 | 1 | no | — |
| 1234 | C2×C4 | — | 4 | 1 | no | — |
| 1235 | C2×C4 | — | 6 | 1 | no | — |
| 1236 | C2×C4 | — | 6 | 1 | no | — |
| 1237 | C2×C4 | — | 6 | 2 | no | — |
| 1238 | C2×C4 | — | 6 | 2 | no | — |
| 1239 | C2×C4 | — | 6 | 1 | no | — |
| 1240 | C2×C4 | — | 6 | 1 | no | — |
| 1241 | C2×C4 | — | 6 | 2 | no | — |
| 1242 | C2×C4 | — | 12 | 2 | no | — |
| 1243 | C2×C4 | — | 12 | 2 | no | — |
| 1244 | C2×C4 | — | 12 | 4 | no | — |
| 1245 | C2×C4 | — | 12 | 2 | no | — |
| 1246 | C2×C4 | — | 12 | 4 | no | — |
| 1247 | C2×C4 | — | 12 | 2 | no | — |
| 1248 | C2×C4 | — | 12 | 1 | no | — |
| 1249 | C2×C4 | — | 12 | 1 | no | — |
| 1250 | C2×C4 | — | 12 | 1 | no | — |
| 1251 | C2×C4 | — | 12 | 1 | no | — |
| 1252 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1253 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1254 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 1255 | C2×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 1256 | C2×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 1257 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1258 | C8 | — | 2 | 2 | no | — |
| 1259 | C8 | — | 3 | 4 | no | — |
| 1260 | C8 | — | 6 | 2 | no | — |
| 1261 | C8 | — | 6 | 2 | no | — |
| 1262 | C8 | — | 6 | 2 | no | — |
| 1263 | C8 | C22×#67 | 1 | 4 | yes | — |
| 1264 | C2×C3 | — | 2 | 1 | no | — |
| 1265 | C2×C3 | — | 2 | 1 | no | — |
| 1266 | C2×C3 | — | 2 | 1 | no | — |
| 1267 | C2×C3 | — | 4 | 2 | no | — |
| 1268 | C2×C3 | — | 4 | 2 | no | — |
| 1269 | C2×C3 | — | 4 | 2 | no | — |
| 1270 | C2×C3 | — | 8 | 1 | no | — |
| 1271 | C2×C3 | C2×D42 | 1 | 1 | yes | characteristic |
| 1272 | D3 | — | 4 | 2 | no | — |
| 1273 | D3 | — | 8 | 1 | no | — |
| 1274 | C22 | — | 2 | 2 | no | — |
| 1275 | C22 | — | 2 | 2 | no | — |
| 1276 | C22 | — | 2 | 2 | no | — |
| 1277 | C22 | — | 4 | 1 | no | — |
| 1278 | C22 | — | 4 | 1 | no | — |
| 1279 | C22 | — | 6 | 2 | no | — |
| 1280 | C22 | — | 8 | 1 | no | — |
| 1281 | C22 | — | 8 | 1 | no | — |
| 1282 | C22 | — | 8 | 1 | no | — |
| 1283 | C22 | — | 8 | 1 | no | — |
| 1284 | C22 | — | 12 | 1 | no | — |
| 1285 | C22 | — | 16 | 2 | no | — |
| 1286 | C22 | — | 24 | 1 | no | — |
| 1287 | C22 | — | 24 | 1 | no | — |
| 1288 | C22 | — | 48 | 2 | no | — |
| 1289 | C22 | D4×#67 | 1 | 1 | yes | characteristic |
| 1290 | C22 | D4×#67 | 1 | 1 | yes | characteristic |
| 1291 | C22 | C2×#1004 | 1 | 1 | yes | characteristic |
| 1292 | C4 | — | 2 | 2 | no | — |
| 1293 | C4 | — | 2 | 2 | no | — |
| 1294 | C4 | — | 2 | 2 | no | — |
| 1295 | C4 | — | 4 | 1 | no | — |
| 1296 | C4 | — | 4 | 2 | no | — |
| 1297 | C4 | — | 6 | 2 | no | — |
| 1298 | C4 | — | 6 | 2 | no | — |
| 1299 | C4 | — | 12 | 1 | no | — |
| 1300 | C4 | — | 12 | 1 | no | — |
| 1301 | C4 | — | 12 | 2 | no | — |
| 1302 | C4 | D4×#67 | 1 | 1 | yes | characteristic |
| 1303 | C4 | D4×#67 | 1 | 1 | yes | characteristic |
| 1304 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1305 | C4 | C23×#67 | 1 | 1 | yes | characteristic |
| 1306 | C3 | #61111 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1307 | C2 | — | 2 | 1 | no | — |
| 1308 | C2 | — | 2 | 1 | no | — |
| 1309 | C2 | — | 2 | 1 | no | — |
| 1310 | C2 | — | 4 | 2 | no | — |
| 1311 | C2 | — | 4 | 2 | no | — |
| 1312 | C2 | — | 4 | 2 | no | — |
| 1313 | C2 | — | 8 | 1 | no | — |
| 1314 | C2 | — | 12 | 2 | no | — |
| 1315 | C2 | — | 24 | 1 | no | — |
| 1316 | C2 | C2×D4×#67 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×#3586 | C2 | semidirect |
| 2. #87299 | C2 | semidirect |
| 3. #87287 | C2 | semidirect |
| 4. #87201 | C2 | semidirect |
| 5. #84121 | C2 | semidirect |
| 6. C2×#5246 | C2 | semidirect |
| 7. #84019 | C2 | semidirect |
| 8. #84018 | C2 | semidirect |
| 9. #84014 | C2 | semidirect |
| 10. #84013 | C2 | semidirect |
| 11. #84004 | C2 | semidirect |
| 12. #84003 | C2 | semidirect |
| 13. #84000 | C2 | semidirect |
| 14. #83998 | C2 | semidirect |
| 15. C2×#5205 | C2 | semidirect |
| 16. #83978 | C2 | semidirect |
| 17. #83972 | C2 | semidirect |
| 18. #83816 | C2 | semidirect |
| 19. #83811 | C2 | semidirect |
| 21. C3×#585 | C22 | semidirect |
| 23. #5964 | C22 | semidirect |
| 26. C3×#578 | C22 | semidirect |
| 28. C3×#577 | C22 | semidirect |
| 33. C2×C3×#137 | C22 | semidirect |
| 34. C2×C3×#137 | C22 | semidirect |
| 35. C3×#568 | C22 | semidirect |
| 38. #5838 | C22 | semidirect |
| 39. #5838 | C22 | semidirect |
| 41. #5837 | C22 | semidirect |
| 43. #5836 | C22 | semidirect |
| 46. C2×#951 | C22 | semidirect |
| 47. C2×#951 | C22 | semidirect |
| 48. C2×#951 | C22 | semidirect |
| 55. #5819 | C22 | semidirect |
| 56. #5819 | C22 | semidirect |
| 57. C2×#944 | C22 | semidirect |
| 59. C2×#942 | C22 | semidirect |
| 60. C2×#942 | C22 | semidirect |
| 65. #5771 | C22 | semidirect |
| 66. #5770 | C22 | semidirect |
| 67. C2×#909 | C22 | semidirect |
| 68. #5745 | C22 | semidirect |
| 69. #5246 | C22 | semidirect |
| 70. #5246 | C22 | semidirect |
| 71. #5246 | C22 | semidirect |
| 72. #5245 | C22 | semidirect |
| 73. #5242 | C22 | semidirect |
| 74. #5241 | C22 | semidirect |
| 75. #5237 | C22 | semidirect |
| 76. C2×#837 | C22 | semidirect |
| 77. C2×#837 | C22 | semidirect |
| 78. C2×#837 | C22 | semidirect |
| 79. C2×#836 | C22 | semidirect |
| 80. #5205 | C22 | semidirect |
| 81. #5205 | C22 | semidirect |
| 82. #5205 | C22 | semidirect |
| 83. #5204 | C22 | semidirect |
| 84. #5204 | C22 | semidirect |
| 85. #5203 | C22 | semidirect |
| 86. #5202 | C22 | semidirect |
| 87. #5201 | C22 | semidirect |
| 88. #5200 | C22 | semidirect |
| 89. #5198 | C22 | semidirect |
| 90. #5197 | C22 | semidirect |
| 91. #5196 | C22 | semidirect |
| 92. #5192 | C22 | semidirect |
| 93. #5190 | C22 | semidirect |
| 94. #5183 | C22 | semidirect |
| 95. #5177 | C22 | semidirect |
| 96. #5175 | C22 | semidirect |
| 97. #5167 | C22 | semidirect |
| 98. #5145 | C22 | semidirect |
| 99. #5144 | C22 | semidirect |
| 100. #5143 | C22 | semidirect |
| 101. #5141 | C22 | semidirect |
| 102. C2×#825 | C22 | semidirect |
| 103. C2×#824 | C22 | semidirect |
| 104. #5132 | C22 | semidirect |
| 105. #5125 | C22 | semidirect |
| 106. #5124 | C22 | semidirect |
| 107. Dic3×M16 | C22 | semidirect |
| 111. #3586 | D3 | semidirect |
| 180. C3×#137 | D4 | semidirect |
| 181. C3×#137 | D4 | semidirect |
| 186. C3×AGL(1,ℤ/8) | D4 | semidirect |
| 187. C3×AGL(1,ℤ/8) | D4 | semidirect |
| 212. #951 | D4 | semidirect |
| 227. #949 | D4 | semidirect |
| 254. #942 | D4 | semidirect |
| 270. #932 | D4 | semidirect |
| 315. #585 | C2×D3 | semidirect |
| 325. #578 | C2×D3 | semidirect |
| 333. #577 | C2×D3 | semidirect |
| 354. C2×#137 | C2×D3 | semidirect |
| 355. C2×#137 | C2×D3 | semidirect |
| 359. #568 | C2×D3 | semidirect |
| 690. #137 | #67 | semidirect |
| 691. #137 | #67 | semidirect |
| 707. AGL(1,ℤ/8) | #67 | semidirect |
| 708. AGL(1,ℤ/8) | #67 | semidirect |
| 1306. C3 | #61111 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#3586 | 2 |
| #87299 | 2 |
| #87287 | 2 |
| #87201 | 2 |
| #84121 | 2 |
| C2×#5246 | 2 |
| #84019 | 2 |
| #84018 | 2 |
| #84014 | 2 |
| #84013 | 2 |
| #84004 | 2 |
| #84003 | 2 |
| #84000 | 2 |
| #83998 | 2 |
| C2×#5205 | 2 |
| #83978 | 2 |
| #83972 | 2 |
| #83816 | 2 |
| #83811 | 2 |
| #61111 | 3 |