Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
4742 conjugacy classes of subgroups.
The subgroup lattice has 964 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#66285 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×D5×#137 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#66009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×C5×#455 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#65531 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#65494 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C2×#65350 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10612024 | C2 | 1 | 16 | yes | maximal, direct product factor |
| 9 | C2×#65115 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×#65110 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C2×#65035 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#65034 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C2×C5×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 14 | #66285 | — | 2 | 8 | no | — |
| 15 | #66285 | — | 2 | 4 | no | — |
| 16 | #66285 | C22 | 1 | 8 | yes | — |
| 17 | C2×#4150 | — | 2 | 2 | no | — |
| 18 | C2×#4150 | C22 | 1 | 2 | yes | — |
| 19 | C2×D5×#41 | — | 2 | 2 | no | — |
| 20 | C2×D5×#41 | C22 | 1 | 2 | yes | — |
| 21 | C22×Q8×D5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#4144 | — | 2 | 2 | no | — |
| 23 | C2×#4144 | — | 2 | 2 | no | — |
| 24 | C2×#4144 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×#711 | — | 2 | 2 | no | — |
| 26 | C22×#711 | — | 2 | 2 | no | — |
| 27 | C22×#711 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×C5×#137 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×C5×#124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×#4097 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×#4090 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#4088 | C22 | 1 | 2 | yes | complemented |
| 33 | C2×#4082 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | D5×#137 | — | 2 | 8 | no | — |
| 35 | D5×#137 | C22 | 1 | 16 | yes | complemented |
| 36 | C2×#4064 | — | 2 | 2 | no | — |
| 37 | C2×D5×Q16 | — | 2 | 2 | no | — |
| 38 | C2×#4061 | — | 2 | 2 | no | — |
| 39 | C2×D5×SD16 | — | 2 | 2 | no | — |
| 40 | C2×#4055 | C22 | 1 | 2 | yes | complemented |
| 41 | C2×D5×M16 | C22 | 1 | 2 | yes | complemented |
| 42 | #66009 | — | 2 | 4 | no | — |
| 43 | #66009 | C22 | 1 | 8 | yes | complemented |
| 44 | C2×#4029 | — | 2 | 2 | no | — |
| 45 | C2×#4024 | — | 2 | 2 | no | — |
| 46 | C2×#4018 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×#4015 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C5×#455 | C22 | 1 | 8 | yes | complemented |
| 49 | C2×C5×#104 | C22 | 1 | 2 | yes | complemented |
| 50 | C2×C5×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #65531 | C22 | 1 | 8 | yes | complemented |
| 52 | C2×#3969 | C22 | 1 | 2 | yes | complemented |
| 53 | C2×#3965 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #65494 | C22 | 1 | 16 | yes | complemented |
| 55 | C2×#3957 | C22 | 1 | 2 | yes | complemented |
| 56 | C2×#3956 | C22 | 1 | 2 | yes | complemented |
| 57 | #65350 | C22 | 1 | 8 | yes | complemented |
| 58 | C2×#3937 | C22 | 1 | 2 | yes | complemented |
| 59 | #65115 | C22 | 1 | 16 | yes | complemented |
| 60 | #65110 | C22 | 1 | 16 | yes | complemented |
| 61 | #65035 | C22 | 1 | 8 | yes | complemented |
| 62 | #65034 | C22 | 1 | 8 | yes | complemented |
| 63 | C2×#3022 | — | 5 | 1 | no | maximal, Sylow |
| 64 | C5×H(5,𝔽2) | — | 2 | 4 | no | — |
| 65 | C5×H(5,𝔽2) | — | 2 | 2 | no | — |
| 66 | C5×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 67 | C2×C5×#41 | — | 2 | 2 | no | — |
| 68 | C2×C5×#41 | C23 | 1 | 2 | yes | — |
| 69 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 70 | C22×C5×D4 | — | 2 | 2 | no | — |
| 71 | C22×C5×D4 | — | 2 | 2 | no | — |
| 72 | C22×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 73 | C22×C22⋊D5 | — | 2 | 4 | no | — |
| 74 | C22×C22⋊D5 | — | 2 | 2 | no | — |
| 75 | C22×C22⋊D5 | — | 2 | 2 | no | — |
| 76 | C22×C22⋊D5 | D4 | 1 | 2 | yes | — |
| 77 | C23×Dic5 | — | 2 | 2 | no | — |
| 78 | C23×Dic5 | D4 | 1 | 2 | yes | — |
| 79 | #4150 | — | 2 | 16 | no | — |
| 80 | #4150 | — | 2 | 4 | no | — |
| 81 | #4150 | — | 2 | 16 | no | — |
| 82 | #4150 | — | 2 | 4 | no | — |
| 83 | #4150 | — | 2 | 4 | no | — |
| 84 | #4150 | C23 | 1 | 8 | yes | — |
| 85 | D5×#41 | — | 2 | 16 | no | — |
| 86 | D5×#41 | — | 2 | 16 | no | — |
| 87 | D5×#41 | — | 2 | 4 | no | — |
| 88 | D5×#41 | — | 2 | 4 | no | — |
| 89 | D5×#41 | D4 | 1 | 8 | yes | — |
| 90 | D5×#41 | C23 | 1 | 8 | yes | — |
| 91 | C2×#713 | D4 | 1 | 2 | yes | — |
| 92 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 93 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 94 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 95 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 96 | C2×Q8×D5 | — | 2 | 4 | no | — |
| 97 | C2×Q8×D5 | D4 | 1 | 2 | yes | — |
| 98 | C2×Q8×D5 | C23 | 1 | 4 | yes | complemented |
| 99 | #4144 | — | 2 | 16 | no | — |
| 100 | #4144 | — | 2 | 16 | no | — |
| 101 | #4144 | — | 2 | 2 | no | — |
| 102 | #4144 | — | 2 | 16 | no | — |
| 103 | #4144 | — | 2 | 16 | no | — |
| 104 | #4144 | — | 2 | 4 | no | — |
| 105 | #4144 | C23 | 1 | 4 | yes | — |
| 106 | C2×#711 | — | 2 | 4 | no | — |
| 107 | C2×#711 | — | 2 | 4 | no | — |
| 108 | C2×#711 | — | 2 | 4 | no | — |
| 109 | C2×#711 | — | 2 | 16 | no | — |
| 110 | C2×#711 | — | 2 | 16 | no | — |
| 111 | C2×#711 | — | 2 | 2 | no | — |
| 112 | C2×#711 | — | 2 | 2 | no | — |
| 113 | C2×#711 | — | 2 | 4 | no | — |
| 114 | C2×#711 | — | 2 | 16 | no | — |
| 115 | C2×#711 | — | 2 | 16 | no | — |
| 116 | C2×#711 | — | 2 | 2 | no | — |
| 117 | C2×#711 | — | 2 | 2 | no | — |
| 118 | C2×#711 | — | 2 | 4 | no | — |
| 119 | C2×#711 | — | 2 | 2 | no | — |
| 120 | C2×#711 | D4 | 1 | 4 | yes | — |
| 121 | C2×#711 | D4 | 1 | 2 | yes | — |
| 122 | C2×#711 | C23 | 1 | 4 | yes | — |
| 123 | C2×D4×D5 | — | 2 | 4 | no | — |
| 124 | C2×D4×D5 | — | 2 | 2 | no | — |
| 125 | C2×D4×D5 | — | 2 | 2 | no | — |
| 126 | C2×D4×D5 | D4 | 1 | 2 | yes | — |
| 127 | C2×#709 | — | 2 | 4 | no | — |
| 128 | C2×#709 | — | 2 | 2 | no | — |
| 129 | C2×#709 | — | 2 | 2 | no | — |
| 130 | C2×#709 | C23 | 1 | 2 | yes | — |
| 131 | C22×C4×D5 | — | 2 | 2 | no | — |
| 132 | C22×C4×D5 | — | 2 | 2 | no | — |
| 133 | C22×C4×D5 | — | 2 | 1 | no | — |
| 134 | C22×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 135 | C22×Dic10 | — | 2 | 2 | no | — |
| 136 | C22×Dic10 | — | 2 | 2 | no | — |
| 137 | C22×Dic10 | — | 2 | 1 | no | — |
| 138 | C22×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 139 | C22×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 140 | C5×#137 | — | 2 | 4 | no | — |
| 141 | C5×#137 | C23 | 1 | 8 | yes | complemented |
| 142 | C2×C5×Q16 | — | 2 | 2 | no | — |
| 143 | C2×C5×SD16 | — | 2 | 2 | no | — |
| 144 | C2×C5×M16 | C23 | 1 | 2 | yes | — |
| 145 | C5×#124 | — | 2 | 2 | no | — |
| 146 | C5×#124 | C23 | 1 | 4 | yes | complemented |
| 147 | C2×C5×C22⋊C4 | — | 2 | 2 | no | — |
| 148 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 149 | C2×C22⋊Dic5 | — | 2 | 2 | no | — |
| 150 | #4097 | — | 2 | 4 | no | — |
| 151 | #4097 | C23 | 1 | 8 | yes | complemented |
| 152 | #4090 | — | 2 | 2 | no | — |
| 153 | #4090 | C23 | 1 | 4 | yes | complemented |
| 154 | C2×#689 | — | 2 | 2 | no | — |
| 155 | C2×#689 | — | 2 | 2 | no | — |
| 156 | #4088 | — | 2 | 4 | no | — |
| 157 | #4088 | C23 | 1 | 8 | yes | complemented |
| 158 | C2×#688 | — | 2 | 2 | no | — |
| 159 | #4082 | — | 2 | 2 | no | — |
| 160 | #4082 | C23 | 1 | 4 | yes | complemented |
| 161 | C2×#687 | — | 2 | 2 | no | — |
| 162 | C2×#685 | — | 2 | 1 | no | — |
| 163 | C2×C4⋊Dic5 | — | 2 | 2 | no | — |
| 164 | C2×#683 | — | 2 | 1 | no | — |
| 165 | C2×#683 | — | 2 | 2 | no | — |
| 166 | C2×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 167 | C2×#681 | C23 | 1 | 2 | yes | — |
| 168 | #4064 | — | 2 | 16 | no | — |
| 169 | D5×Q16 | — | 2 | 16 | no | — |
| 170 | #4061 | — | 2 | 16 | no | — |
| 171 | D5×SD16 | — | 2 | 16 | no | — |
| 172 | #4055 | — | 2 | 4 | no | — |
| 173 | #4055 | C23 | 1 | 8 | yes | complemented |
| 174 | D5×M16 | — | 2 | 4 | no | — |
| 175 | D5×M16 | C23 | 1 | 8 | yes | complemented |
| 176 | C2×Dic20 | — | 2 | 2 | no | — |
| 177 | C2×#677 | — | 2 | 2 | no | — |
| 178 | C2×#676 | — | 2 | 2 | no | — |
| 179 | C2×C8×D5 | — | 2 | 2 | no | — |
| 180 | #4029 | — | 2 | 16 | no | — |
| 181 | #4024 | — | 2 | 16 | no | — |
| 182 | #4018 | — | 2 | 2 | no | — |
| 183 | #4018 | C23 | 1 | 4 | yes | complemented |
| 184 | #4015 | — | 2 | 2 | no | — |
| 185 | #4015 | C23 | 1 | 4 | yes | complemented |
| 186 | C5×#104 | C23 | 1 | 8 | yes | complemented |
| 187 | C5×#100 | C23 | 1 | 4 | yes | complemented |
| 188 | #3969 | C23 | 1 | 8 | yes | complemented |
| 189 | #3965 | C23 | 1 | 4 | yes | complemented |
| 190 | #3957 | C23 | 1 | 8 | yes | complemented |
| 191 | #3956 | C23 | 1 | 8 | yes | complemented |
| 192 | #3937 | C23 | 1 | 8 | yes | complemented |
| 193 | C2×#585 | — | 5 | 1 | no | — |
| 194 | C22×#137 | — | 5 | 2 | no | — |
| 195 | C2×#536 | — | 5 | 1 | no | — |
| 196 | #3022 | — | 5 | 16 | no | — |
| 197 | C2×#456 | — | 5 | 2 | no | — |
| 198 | C2×#456 | — | 5 | 2 | no | — |
| 199 | C2×#455 | — | 5 | 1 | no | — |
| 200 | C2×#455 | — | 5 | 1 | no | — |
| 201 | C2×#455 | — | 5 | 1 | no | — |
| 202 | C2×#455 | D5 | 1 | 1 | yes | characteristic, complemented |
| 203 | C2×#421 | — | 5 | 2 | no | — |
| 204 | C2×#413 | — | 5 | 1 | no | — |
| 205 | C24×C5 | — | 2 | 2 | no | — |
| 206 | C24×C5 | C2×D4 | 1 | 2 | yes | — |
| 207 | C23×D5 | — | 2 | 2 | no | — |
| 208 | C23×D5 | — | 2 | 2 | no | — |
| 209 | C23×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C5×#41 | — | 2 | 8 | no | — |
| 211 | C5×#41 | — | 2 | 8 | no | — |
| 212 | C5×#41 | — | 2 | 2 | no | — |
| 213 | C5×#41 | — | 2 | 2 | no | — |
| 214 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 215 | C5×#41 | C24 | 1 | 4 | yes | — |
| 216 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 217 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 218 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 219 | C2×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 220 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 221 | C2×C5×D4 | — | 2 | 4 | no | — |
| 222 | C2×C5×D4 | — | 2 | 8 | no | — |
| 223 | C2×C5×D4 | — | 2 | 8 | no | — |
| 224 | C2×C5×D4 | — | 2 | 2 | no | — |
| 225 | C2×C5×D4 | — | 2 | 8 | no | — |
| 226 | C2×C5×D4 | — | 2 | 8 | no | — |
| 227 | C2×C5×D4 | — | 2 | 2 | no | — |
| 228 | C2×C5×D4 | — | 2 | 2 | no | — |
| 229 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 230 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 231 | C2×C5×D4 | C24 | 1 | 2 | yes | — |
| 232 | C22×C4×C5 | — | 2 | 2 | no | — |
| 233 | C22×C4×C5 | — | 2 | 2 | no | — |
| 234 | C22×C4×C5 | — | 2 | 1 | no | — |
| 235 | C22×C4×C5 | — | 2 | 1 | no | — |
| 236 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 237 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 238 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 239 | C2×C22⋊D5 | — | 2 | 8 | no | — |
| 240 | C2×C22⋊D5 | — | 2 | 32 | no | — |
| 241 | C2×C22⋊D5 | — | 2 | 16 | no | — |
| 242 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 243 | C2×C22⋊D5 | — | 2 | 8 | no | — |
| 244 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 245 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 246 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 247 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 248 | C2×C22⋊D5 | C2×D4 | 1 | 8 | yes | — |
| 249 | C22×Dic5 | — | 2 | 4 | no | — |
| 250 | C22×Dic5 | — | 2 | 2 | no | — |
| 251 | C22×Dic5 | — | 2 | 16 | no | — |
| 252 | C22×Dic5 | — | 2 | 2 | no | — |
| 253 | C22×Dic5 | — | 2 | 2 | no | — |
| 254 | C22×Dic5 | — | 2 | 2 | no | — |
| 255 | C22×Dic5 | — | 2 | 4 | no | — |
| 256 | C22×Dic5 | — | 2 | 1 | no | — |
| 257 | C22×Dic5 | — | 2 | 1 | no | — |
| 258 | C22×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 259 | C22×Dic5 | C2×D4 | 1 | 8 | yes | — |
| 260 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | #713 | — | 2 | 4 | no | — |
| 262 | #713 | C2×D4 | 1 | 8 | yes | — |
| 263 | Q8×D5 | — | 2 | 8 | no | — |
| 264 | Q8×D5 | — | 2 | 8 | no | — |
| 265 | Q8×D5 | — | 2 | 4 | no | — |
| 266 | Q8×D5 | — | 2 | 8 | no | — |
| 267 | Q8×D5 | — | 2 | 8 | no | — |
| 268 | Q8×D5 | — | 4 | 4 | no | — |
| 269 | Q8×D5 | — | 4 | 4 | no | — |
| 270 | Q8×D5 | C2×D4 | 1 | 8 | yes | — |
| 271 | #711 | — | 2 | 32 | no | — |
| 272 | #711 | — | 2 | 16 | no | — |
| 273 | #711 | — | 2 | 32 | no | — |
| 274 | #711 | — | 2 | 8 | no | — |
| 275 | #711 | — | 2 | 8 | no | — |
| 276 | #711 | — | 2 | 32 | no | — |
| 277 | #711 | — | 2 | 8 | no | — |
| 278 | #711 | — | 2 | 8 | no | — |
| 279 | #711 | — | 2 | 8 | no | — |
| 280 | #711 | — | 2 | 16 | no | — |
| 281 | #711 | — | 2 | 8 | no | — |
| 282 | #711 | — | 2 | 4 | no | — |
| 283 | #711 | — | 2 | 8 | no | — |
| 284 | #711 | — | 2 | 8 | no | — |
| 285 | #711 | — | 2 | 8 | no | — |
| 286 | #711 | — | 2 | 8 | no | — |
| 287 | #711 | C2×D4 | 1 | 8 | yes | — |
| 288 | D4×D5 | — | 2 | 32 | no | — |
| 289 | D4×D5 | — | 2 | 8 | no | — |
| 290 | D4×D5 | — | 2 | 8 | no | — |
| 291 | D4×D5 | — | 2 | 8 | no | — |
| 292 | D4×D5 | — | 2 | 8 | no | — |
| 293 | D4×D5 | — | 2 | 4 | no | — |
| 294 | D4×D5 | C2×D4 | 1 | 8 | yes | — |
| 295 | #709 | — | 2 | 32 | no | — |
| 296 | #709 | — | 2 | 8 | no | — |
| 297 | #709 | — | 2 | 2 | no | — |
| 298 | #709 | — | 2 | 2 | no | — |
| 299 | #709 | — | 2 | 8 | no | — |
| 300 | #709 | — | 2 | 8 | no | — |
| 301 | #709 | — | 2 | 8 | no | — |
| 302 | #709 | C2×D4 | 1 | 4 | yes | — |
| 303 | #709 | C24 | 1 | 4 | yes | — |
| 304 | C2×D20 | — | 2 | 2 | no | — |
| 305 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 306 | C2×C4×D5 | — | 2 | 4 | no | — |
| 307 | C2×C4×D5 | — | 2 | 16 | no | — |
| 308 | C2×C4×D5 | — | 2 | 2 | no | — |
| 309 | C2×C4×D5 | — | 2 | 2 | no | — |
| 310 | C2×C4×D5 | — | 2 | 2 | no | — |
| 311 | C2×C4×D5 | — | 2 | 8 | no | — |
| 312 | C2×C4×D5 | — | 2 | 8 | no | — |
| 313 | C2×C4×D5 | — | 2 | 4 | no | — |
| 314 | C2×C4×D5 | — | 4 | 2 | no | — |
| 315 | C2×C4×D5 | — | 4 | 2 | no | — |
| 316 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 317 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 318 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 319 | C2×C4×D5 | C2×D4 | 1 | 4 | yes | — |
| 320 | C2×C4×D5 | C24 | 1 | 2 | yes | — |
| 321 | C2×Dic10 | — | 2 | 4 | no | — |
| 322 | C2×Dic10 | — | 2 | 8 | no | — |
| 323 | C2×Dic10 | — | 2 | 16 | no | — |
| 324 | C2×Dic10 | — | 2 | 2 | no | — |
| 325 | C2×Dic10 | — | 2 | 2 | no | — |
| 326 | C2×Dic10 | — | 2 | 2 | no | — |
| 327 | C2×Dic10 | — | 2 | 8 | no | — |
| 328 | C2×Dic10 | — | 2 | 2 | no | — |
| 329 | C2×Dic10 | — | 2 | 2 | no | — |
| 330 | C2×Dic10 | — | 2 | 1 | no | — |
| 331 | C2×Dic10 | — | 2 | 4 | no | — |
| 332 | C2×Dic10 | — | 4 | 1 | no | — |
| 333 | C2×Dic10 | — | 4 | 1 | no | — |
| 334 | C2×Dic10 | — | 4 | 2 | no | — |
| 335 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 336 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 337 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 338 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 339 | C5×Q16 | — | 2 | 8 | no | — |
| 340 | C5×SD16 | — | 2 | 8 | no | — |
| 341 | C5×M16 | — | 2 | 2 | no | — |
| 342 | C5×M16 | C24 | 1 | 4 | yes | — |
| 343 | C2×C5×C8 | — | 2 | 2 | no | — |
| 344 | C5×C22⋊C4 | — | 2 | 8 | no | — |
| 345 | C42×C5 | — | 2 | 1 | no | — |
| 346 | C42×C5 | C24 | 1 | 2 | yes | — |
| 347 | C22⋊Dic5 | — | 2 | 8 | no | — |
| 348 | #689 | — | 2 | 8 | no | — |
| 349 | #689 | — | 2 | 8 | no | — |
| 350 | #688 | — | 2 | 8 | no | — |
| 351 | #687 | — | 2 | 8 | no | — |
| 352 | #685 | — | 2 | 4 | no | — |
| 353 | C4⋊Dic5 | — | 2 | 8 | no | — |
| 354 | #683 | — | 2 | 4 | no | — |
| 355 | #683 | — | 2 | 8 | no | — |
| 356 | C4×Dic5 | — | 2 | 1 | no | — |
| 357 | C4×Dic5 | C24 | 1 | 2 | yes | — |
| 358 | #681 | — | 2 | 2 | no | — |
| 359 | #681 | C24 | 1 | 4 | yes | — |
| 360 | C2×#168 | — | 2 | 2 | no | — |
| 361 | Dic20 | — | 2 | 8 | no | — |
| 362 | #677 | — | 2 | 8 | no | — |
| 363 | #676 | — | 2 | 8 | no | — |
| 364 | C8×D5 | — | 2 | 8 | no | — |
| 365 | #585 | — | 5 | 8 | no | — |
| 366 | #585 | — | 10 | 4 | no | — |
| 367 | #585 | — | 10 | 8 | no | — |
| 368 | C2×2−1+4 | — | 5 | 2 | no | — |
| 369 | C2×2−1+4 | — | 10 | 2 | no | — |
| 370 | C2×H(5,𝔽2) | — | 5 | 1 | no | — |
| 371 | C2×H(5,𝔽2) | — | 10 | 2 | no | — |
| 372 | C2×H(5,𝔽2) | — | 10 | 2 | no | — |
| 373 | C2×H(5,𝔽2) | C2×D5 | 1 | 1 | yes | characteristic |
| 374 | C22×#41 | — | 5 | 1 | no | — |
| 375 | C22×#41 | — | 5 | 2 | no | — |
| 376 | C22×#41 | — | 10 | 2 | no | — |
| 377 | C22×#41 | — | 10 | 2 | no | — |
| 378 | C22×#41 | — | 10 | 2 | no | — |
| 379 | C23×Q8 | — | 5 | 1 | no | — |
| 380 | C2×#137 | — | 5 | 2 | no | — |
| 381 | C2×#137 | — | 5 | 2 | no | — |
| 382 | C2×#137 | — | 5 | 16 | no | — |
| 383 | C2×#137 | — | 5 | 2 | no | — |
| 384 | C2×#137 | — | 10 | 2 | no | — |
| 385 | C2×#137 | — | 10 | 2 | no | — |
| 386 | C2×#137 | — | 10 | 8 | no | — |
| 387 | C2×#137 | C2×D5 | 1 | 2 | yes | complemented |
| 388 | C22×Q16 | — | 10 | 2 | no | — |
| 389 | C22×SD16 | — | 10 | 2 | no | — |
| 390 | C22×M16 | — | 5 | 2 | no | — |
| 391 | #536 | — | 5 | 8 | no | — |
| 392 | #536 | — | 10 | 4 | no | — |
| 393 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 394 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 395 | C2×#124 | — | 5 | 1 | no | — |
| 396 | C2×#124 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 397 | C2×#123 | — | 10 | 2 | no | — |
| 398 | C2×C22⋊Q8 | — | 10 | 2 | no | — |
| 399 | C2×#117 | — | 5 | 1 | no | — |
| 400 | #456 | — | 5 | 16 | no | — |
| 401 | #456 | — | 5 | 16 | no | — |
| 402 | #455 | — | 5 | 8 | no | — |
| 403 | #455 | — | 5 | 8 | no | — |
| 404 | #455 | — | 5 | 8 | no | — |
| 405 | #455 | C2×D5 | 1 | 8 | yes | complemented |
| 406 | #421 | — | 5 | 16 | no | — |
| 407 | C2×#104 | — | 5 | 2 | no | — |
| 408 | C2×#104 | — | 5 | 2 | no | — |
| 409 | C2×#104 | — | 5 | 2 | no | — |
| 410 | C2×#104 | C2×D5 | 1 | 2 | yes | complemented |
| 411 | #413 | — | 5 | 8 | no | — |
| 412 | C2×#101 | — | 5 | 2 | no | — |
| 413 | C2×#100 | — | 5 | 1 | no | — |
| 414 | C2×#100 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 415 | C23×C5 | — | 2 | 8 | no | — |
| 416 | C23×C5 | — | 2 | 2 | no | — |
| 417 | C23×C5 | — | 2 | 2 | no | — |
| 418 | C23×C5 | — | 2 | 2 | no | — |
| 419 | C23×C5 | — | 4 | 4 | no | — |
| 420 | C23×C5 | — | 8 | 4 | no | — |
| 421 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 422 | C23×C5 | C22×D4 | 1 | 4 | yes | — |
| 423 | C22×D5 | — | 2 | 2 | no | — |
| 424 | C22×D5 | — | 2 | 8 | no | — |
| 425 | C22×D5 | — | 2 | 8 | no | — |
| 426 | C22×D5 | — | 4 | 2 | no | — |
| 427 | C22×D5 | — | 8 | 4 | no | — |
| 428 | C22×D5 | — | 8 | 4 | no | — |
| 429 | C22×D5 | #120 | 1 | 2 | yes | — |
| 430 | C22×D5 | #120 | 1 | 2 | yes | — |
| 431 | C22×D5 | C22×D4 | 1 | 2 | yes | — |
| 432 | C5×Q8 | — | 2 | 2 | no | — |
| 433 | C5×Q8 | — | 2 | 4 | no | — |
| 434 | C5×Q8 | — | 4 | 2 | no | — |
| 435 | C5×Q8 | C22×D4 | 1 | 4 | yes | — |
| 436 | C5×D4 | — | 2 | 16 | no | — |
| 437 | C5×D4 | — | 2 | 4 | no | — |
| 438 | C5×D4 | — | 2 | 4 | no | — |
| 439 | C5×D4 | — | 2 | 4 | no | — |
| 440 | C5×D4 | — | 2 | 2 | no | — |
| 441 | C5×D4 | — | 2 | 4 | no | — |
| 442 | C5×D4 | C22×D4 | 1 | 4 | yes | — |
| 443 | C2×C4×C5 | — | 2 | 8 | no | — |
| 444 | C2×C4×C5 | — | 2 | 2 | no | — |
| 445 | C2×C4×C5 | — | 2 | 4 | no | — |
| 446 | C2×C4×C5 | — | 2 | 4 | no | — |
| 447 | C2×C4×C5 | — | 2 | 2 | no | — |
| 448 | C2×C4×C5 | — | 2 | 2 | no | — |
| 449 | C2×C4×C5 | — | 4 | 2 | no | — |
| 450 | C2×C4×C5 | — | 4 | 1 | no | — |
| 451 | C2×C4×C5 | — | 4 | 1 | no | — |
| 452 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 453 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 454 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 455 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 456 | C22⋊D5 | — | 2 | 16 | no | — |
| 457 | C22⋊D5 | — | 2 | 16 | no | — |
| 458 | C22⋊D5 | — | 2 | 4 | no | — |
| 459 | C22⋊D5 | — | 2 | 4 | no | — |
| 460 | C22⋊D5 | — | 2 | 16 | no | — |
| 461 | C22⋊D5 | — | 2 | 8 | no | — |
| 462 | C22⋊D5 | — | 2 | 8 | no | — |
| 463 | C2×Dic5 | — | 2 | 16 | no | — |
| 464 | C2×Dic5 | — | 2 | 8 | no | — |
| 465 | C2×Dic5 | — | 2 | 2 | no | — |
| 466 | C2×Dic5 | — | 2 | 2 | no | — |
| 467 | C2×Dic5 | — | 2 | 2 | no | — |
| 468 | C2×Dic5 | — | 2 | 8 | no | — |
| 469 | C2×Dic5 | — | 2 | 8 | no | — |
| 470 | C2×Dic5 | — | 2 | 8 | no | — |
| 471 | C2×Dic5 | — | 2 | 2 | no | — |
| 472 | C2×Dic5 | — | 2 | 2 | no | — |
| 473 | C2×Dic5 | — | 4 | 2 | no | — |
| 474 | C2×Dic5 | — | 4 | 1 | no | — |
| 475 | C2×Dic5 | — | 4 | 1 | no | — |
| 476 | C2×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 477 | C2×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 478 | C2×Dic5 | #120 | 1 | 2 | yes | — |
| 479 | C2×Dic5 | C22×D4 | 1 | 4 | yes | — |
| 480 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 481 | D20 | — | 2 | 8 | no | — |
| 482 | D20 | — | 2 | 2 | no | — |
| 483 | D20 | C22×D4 | 1 | 4 | yes | — |
| 484 | C4×D5 | — | 2 | 16 | no | — |
| 485 | C4×D5 | — | 2 | 8 | no | — |
| 486 | C4×D5 | — | 2 | 4 | no | — |
| 487 | C4×D5 | — | 2 | 4 | no | — |
| 488 | C4×D5 | — | 2 | 8 | no | — |
| 489 | C4×D5 | — | 4 | 8 | no | — |
| 490 | C4×D5 | #120 | 1 | 4 | yes | — |
| 491 | C4×D5 | #120 | 1 | 4 | yes | — |
| 492 | C4×D5 | C22×D4 | 1 | 4 | yes | — |
| 493 | C4×D5 | C22×D4 | 1 | 4 | yes | — |
| 494 | Dic10 | — | 2 | 16 | no | — |
| 495 | Dic10 | — | 2 | 4 | no | — |
| 496 | Dic10 | — | 2 | 2 | no | — |
| 497 | Dic10 | — | 2 | 4 | no | — |
| 498 | Dic10 | — | 2 | 8 | no | — |
| 499 | Dic10 | — | 2 | 4 | no | — |
| 500 | Dic10 | — | 4 | 2 | no | — |
| 501 | Dic10 | — | 4 | 4 | no | — |
| 502 | Dic10 | — | 4 | 4 | no | — |
| 503 | Dic10 | C22×D4 | 1 | 4 | yes | — |
| 504 | C5×C8 | — | 2 | 4 | no | — |
| 505 | #168 | — | 2 | 4 | no | — |
| 506 | 2−1+4 | — | 5 | 8 | no | — |
| 507 | 2−1+4 | — | 10 | 4 | no | — |
| 508 | 2−1+4 | — | 10 | 16 | no | — |
| 509 | 2−1+4 | — | 10 | 4 | no | — |
| 510 | 2−1+4 | — | 10 | 16 | no | — |
| 511 | 2−1+4 | — | 10 | 4 | no | — |
| 512 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 513 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 514 | H(5,𝔽2) | — | 5 | 4 | no | — |
| 515 | H(5,𝔽2) | — | 10 | 16 | no | — |
| 516 | H(5,𝔽2) | — | 10 | 16 | no | — |
| 517 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 518 | H(5,𝔽2) | — | 10 | 16 | no | — |
| 519 | H(5,𝔽2) | — | 10 | 16 | no | — |
| 520 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 521 | H(5,𝔽2) | C22×D5 | 1 | 4 | yes | — |
| 522 | C2×#41 | — | 2 | 2 | no | — |
| 523 | C2×#41 | — | 5 | 4 | no | — |
| 524 | C2×#41 | — | 5 | 4 | no | — |
| 525 | C2×#41 | — | 5 | 8 | no | — |
| 526 | C2×#41 | — | 5 | 8 | no | — |
| 527 | C2×#41 | — | 5 | 2 | no | — |
| 528 | C2×#41 | — | 5 | 2 | no | — |
| 529 | C2×#41 | — | 5 | 2 | no | — |
| 530 | C2×#41 | — | 10 | 2 | no | — |
| 531 | C2×#41 | — | 10 | 2 | no | — |
| 532 | C2×#41 | — | 10 | 4 | no | — |
| 533 | C2×#41 | — | 10 | 2 | no | — |
| 534 | C2×#41 | — | 10 | 2 | no | — |
| 535 | C2×#41 | — | 10 | 2 | no | — |
| 536 | C2×#41 | — | 10 | 4 | no | — |
| 537 | C2×#41 | — | 10 | 4 | no | — |
| 538 | C2×#41 | — | 10 | 16 | no | — |
| 539 | C2×#41 | — | 10 | 4 | no | — |
| 540 | C2×#41 | — | 10 | 4 | no | — |
| 541 | C2×#41 | — | 10 | 2 | no | — |
| 542 | C2×#41 | — | 10 | 16 | no | — |
| 543 | C2×#41 | — | 10 | 4 | no | — |
| 544 | C2×#41 | — | 10 | 4 | no | — |
| 545 | C2×#41 | — | 10 | 4 | no | — |
| 546 | C2×#41 | — | 10 | 16 | no | — |
| 547 | C2×#41 | — | 10 | 16 | no | — |
| 548 | C2×#41 | — | 10 | 16 | no | — |
| 549 | C2×#41 | — | 10 | 16 | no | — |
| 550 | C2×#41 | — | 10 | 2 | no | — |
| 551 | C2×#41 | C22×D5 | 1 | 2 | yes | — |
| 552 | C22×Q8 | — | 5 | 1 | no | — |
| 553 | C22×Q8 | — | 5 | 2 | no | — |
| 554 | C22×Q8 | — | 5 | 4 | no | — |
| 555 | C22×Q8 | — | 5 | 1 | no | — |
| 556 | C22×Q8 | — | 10 | 1 | no | — |
| 557 | C22×Q8 | — | 10 | 2 | no | — |
| 558 | C22×Q8 | — | 10 | 2 | no | — |
| 559 | C22×Q8 | — | 10 | 2 | no | — |
| 560 | C22×Q8 | — | 10 | 2 | no | — |
| 561 | C22×Q8 | — | 10 | 2 | no | — |
| 562 | C22×Q8 | — | 10 | 4 | no | — |
| 563 | C22×Q8 | — | 10 | 2 | no | — |
| 564 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 565 | C22×D4 | — | 2 | 2 | no | — |
| 566 | C22×D4 | — | 2 | 2 | no | — |
| 567 | C22×D4 | — | 5 | 2 | no | — |
| 568 | C22×D4 | — | 5 | 2 | no | — |
| 569 | C22×D4 | — | 10 | 2 | no | — |
| 570 | C22×D4 | — | 10 | 2 | no | — |
| 571 | C22×D4 | — | 10 | 4 | no | — |
| 572 | C22×D4 | — | 10 | 2 | no | — |
| 573 | C22×D4 | — | 10 | 4 | no | — |
| 574 | C22×D4 | — | 10 | 2 | no | — |
| 575 | C22×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 576 | C23×C4 | — | 5 | 1 | no | — |
| 577 | C23×C4 | — | 5 | 2 | no | — |
| 578 | C23×C4 | — | 10 | 2 | no | — |
| 579 | C23×C4 | — | 10 | 2 | no | — |
| 580 | C23×C4 | — | 10 | 1 | no | — |
| 581 | C23×C4 | — | 10 | 2 | no | — |
| 582 | #137 | — | 2 | 4 | no | — |
| 583 | #137 | — | 5 | 8 | no | — |
| 584 | #137 | — | 5 | 8 | no | — |
| 585 | #137 | — | 5 | 8 | no | — |
| 586 | #137 | — | 10 | 4 | no | — |
| 587 | #137 | — | 10 | 16 | no | — |
| 588 | #137 | — | 10 | 16 | no | — |
| 589 | #137 | — | 10 | 4 | no | — |
| 590 | #137 | — | 10 | 4 | no | — |
| 591 | #137 | C22×D5 | 1 | 8 | yes | complemented |
| 592 | C2×Q16 | — | 2 | 2 | no | — |
| 593 | C2×Q16 | — | 10 | 2 | no | — |
| 594 | C2×Q16 | — | 10 | 16 | no | — |
| 595 | C2×Q16 | — | 10 | 2 | no | — |
| 596 | C2×Q16 | — | 10 | 2 | no | — |
| 597 | C2×SD16 | — | 2 | 2 | no | — |
| 598 | C2×SD16 | — | 10 | 2 | no | — |
| 599 | C2×SD16 | — | 10 | 16 | no | — |
| 600 | C2×SD16 | — | 10 | 2 | no | — |
| 601 | C2×SD16 | — | 10 | 2 | no | — |
| 602 | C2×M16 | — | 5 | 2 | no | — |
| 603 | C2×M16 | — | 5 | 8 | no | — |
| 604 | C2×M16 | — | 10 | 2 | no | — |
| 605 | C2×M16 | — | 10 | 4 | no | — |
| 606 | C2×M16 | C22×D5 | 1 | 2 | yes | — |
| 607 | C22×C8 | — | 10 | 2 | no | — |
| 608 | C4⋊Q8 | — | 5 | 4 | no | — |
| 609 | C4⋊Q8 | — | 5 | 4 | no | — |
| 610 | C4⋊Q8 | — | 10 | 2 | no | — |
| 611 | C4⋊Q8 | — | 10 | 2 | no | — |
| 612 | #124 | — | 2 | 2 | no | — |
| 613 | #124 | — | 5 | 4 | no | — |
| 614 | #124 | — | 10 | 2 | no | — |
| 615 | #124 | C22×D5 | 1 | 4 | yes | complemented |
| 616 | #123 | — | 10 | 16 | no | — |
| 617 | C22⋊Q8 | — | 10 | 16 | no | — |
| 618 | #117 | — | 5 | 4 | no | — |
| 619 | #117 | — | 10 | 2 | no | — |
| 620 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 621 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 622 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 623 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 624 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 625 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 626 | C2×C42 | — | 5 | 1 | no | — |
| 627 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 628 | #104 | — | 5 | 8 | no | — |
| 629 | #104 | — | 5 | 8 | no | — |
| 630 | #104 | — | 5 | 8 | no | — |
| 631 | #104 | C22×D5 | 1 | 8 | yes | complemented |
| 632 | #101 | — | 5 | 8 | no | — |
| 633 | #100 | — | 5 | 4 | no | — |
| 634 | #100 | C22×D5 | 1 | 4 | yes | complemented |
| 635 | C22×C5 | — | 2 | 2 | no | — |
| 636 | C22×C5 | — | 2 | 4 | no | — |
| 637 | C22×C5 | — | 2 | 4 | no | — |
| 638 | C22×C5 | — | 4 | 4 | no | — |
| 639 | C22×C5 | — | 4 | 4 | no | — |
| 640 | C22×C5 | — | 4 | 4 | no | — |
| 641 | C22×C5 | — | 8 | 2 | no | — |
| 642 | C22×C5 | — | 8 | 8 | no | — |
| 643 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 644 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 645 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 646 | C2×D5 | — | 2 | 4 | no | — |
| 647 | C2×D5 | — | 2 | 4 | no | — |
| 648 | C2×D5 | — | 4 | 2 | no | — |
| 649 | C2×D5 | — | 4 | 2 | no | — |
| 650 | C2×D5 | — | 4 | 4 | no | — |
| 651 | C2×D5 | — | 8 | 8 | no | — |
| 652 | C2×D5 | — | 8 | 8 | no | — |
| 653 | C2×D5 | C2×#120 | 1 | 4 | yes | — |
| 654 | C4×C5 | — | 2 | 4 | no | — |
| 655 | C4×C5 | — | 4 | 2 | no | — |
| 656 | C4×C5 | — | 4 | 2 | no | — |
| 657 | C4×C5 | C2×#120 | 1 | 2 | yes | — |
| 658 | C4×C5 | C23×D4 | 1 | 2 | yes | — |
| 659 | Dic5 | — | 2 | 4 | no | — |
| 660 | Dic5 | — | 2 | 4 | no | — |
| 661 | Dic5 | — | 4 | 2 | no | — |
| 662 | Dic5 | — | 4 | 2 | no | — |
| 663 | Dic5 | C2×#120 | 1 | 2 | yes | — |
| 664 | Dic5 | C2×#120 | 1 | 2 | yes | — |
| 665 | C24 | — | 2 | 2 | no | — |
| 666 | C24 | — | 5 | 1 | no | — |
| 667 | C24 | — | 10 | 2 | no | — |
| 668 | C24 | — | 10 | 2 | no | — |
| 669 | C24 | D4×D5 | 1 | 2 | yes | — |
| 670 | #41 | — | 2 | 8 | no | — |
| 671 | #41 | — | 2 | 8 | no | — |
| 672 | #41 | — | 2 | 2 | no | — |
| 673 | #41 | — | 2 | 2 | no | — |
| 674 | #41 | — | 5 | 8 | no | — |
| 675 | #41 | — | 5 | 8 | no | — |
| 676 | #41 | — | 5 | 4 | no | — |
| 677 | #41 | — | 5 | 4 | no | — |
| 678 | #41 | — | 10 | 8 | no | — |
| 679 | #41 | — | 10 | 8 | no | — |
| 680 | #41 | — | 10 | 8 | no | — |
| 681 | #41 | — | 10 | 32 | no | — |
| 682 | #41 | — | 10 | 8 | no | — |
| 683 | #41 | — | 10 | 8 | no | — |
| 684 | #41 | — | 10 | 8 | no | — |
| 685 | #41 | — | 10 | 8 | no | — |
| 686 | #41 | — | 10 | 4 | no | — |
| 687 | #41 | — | 10 | 8 | no | — |
| 688 | #41 | — | 10 | 8 | no | — |
| 689 | #41 | — | 10 | 8 | no | — |
| 690 | #41 | — | 10 | 16 | no | — |
| 691 | #41 | — | 10 | 4 | no | — |
| 692 | #41 | — | 10 | 8 | no | — |
| 693 | #41 | — | 10 | 32 | no | — |
| 694 | #41 | — | 10 | 32 | no | — |
| 695 | #41 | — | 10 | 32 | no | — |
| 696 | #41 | — | 10 | 16 | no | — |
| 697 | #41 | — | 10 | 8 | no | — |
| 698 | #41 | — | 10 | 8 | no | — |
| 699 | #41 | — | 10 | 8 | no | — |
| 700 | #41 | — | 10 | 2 | no | — |
| 701 | #41 | — | 10 | 2 | no | — |
| 702 | #41 | D4×D5 | 1 | 4 | yes | — |
| 703 | #41 | C23×D5 | 1 | 4 | yes | — |
| 704 | C2×Q8 | — | 2 | 1 | no | — |
| 705 | C2×Q8 | — | 2 | 2 | no | — |
| 706 | C2×Q8 | — | 2 | 2 | no | — |
| 707 | C2×Q8 | — | 5 | 2 | no | — |
| 708 | C2×Q8 | — | 5 | 2 | no | — |
| 709 | C2×Q8 | — | 5 | 8 | no | — |
| 710 | C2×Q8 | — | 5 | 2 | no | — |
| 711 | C2×Q8 | — | 5 | 2 | no | — |
| 712 | C2×Q8 | — | 10 | 2 | no | — |
| 713 | C2×Q8 | — | 10 | 4 | no | — |
| 714 | C2×Q8 | — | 10 | 8 | no | — |
| 715 | C2×Q8 | — | 10 | 4 | no | — |
| 716 | C2×Q8 | — | 10 | 16 | no | — |
| 717 | C2×Q8 | — | 10 | 8 | no | — |
| 718 | C2×Q8 | — | 10 | 4 | no | — |
| 719 | C2×Q8 | — | 10 | 8 | no | — |
| 720 | C2×Q8 | — | 10 | 8 | no | — |
| 721 | C2×Q8 | — | 10 | 8 | no | — |
| 722 | C2×Q8 | — | 10 | 8 | no | — |
| 723 | C2×Q8 | — | 10 | 2 | no | — |
| 724 | C2×Q8 | — | 10 | 2 | no | — |
| 725 | C2×Q8 | — | 10 | 1 | no | — |
| 726 | C2×Q8 | — | 10 | 2 | no | — |
| 727 | C2×Q8 | — | 10 | 2 | no | — |
| 728 | C2×Q8 | — | 20 | 2 | no | — |
| 729 | C2×Q8 | — | 20 | 1 | no | — |
| 730 | C2×Q8 | — | 20 | 1 | no | — |
| 731 | C2×Q8 | — | 20 | 4 | no | — |
| 732 | C2×Q8 | — | 20 | 4 | no | — |
| 733 | C2×Q8 | D4×D5 | 1 | 2 | yes | — |
| 734 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 735 | C2×D4 | — | 2 | 4 | no | — |
| 736 | C2×D4 | — | 2 | 8 | no | — |
| 737 | C2×D4 | — | 2 | 8 | no | — |
| 738 | C2×D4 | — | 2 | 2 | no | — |
| 739 | C2×D4 | — | 2 | 8 | no | — |
| 740 | C2×D4 | — | 2 | 8 | no | — |
| 741 | C2×D4 | — | 2 | 2 | no | — |
| 742 | C2×D4 | — | 2 | 2 | no | — |
| 743 | C2×D4 | — | 5 | 8 | no | — |
| 744 | C2×D4 | — | 5 | 8 | no | — |
| 745 | C2×D4 | — | 5 | 2 | no | — |
| 746 | C2×D4 | — | 10 | 2 | no | — |
| 747 | C2×D4 | — | 10 | 4 | no | — |
| 748 | C2×D4 | — | 10 | 2 | no | — |
| 749 | C2×D4 | — | 10 | 8 | no | — |
| 750 | C2×D4 | — | 10 | 8 | no | — |
| 751 | C2×D4 | — | 10 | 8 | no | — |
| 752 | C2×D4 | — | 10 | 32 | no | — |
| 753 | C2×D4 | — | 10 | 8 | no | — |
| 754 | C2×D4 | — | 10 | 4 | no | — |
| 755 | C2×D4 | — | 10 | 4 | no | — |
| 756 | C2×D4 | — | 10 | 2 | no | — |
| 757 | C2×D4 | — | 10 | 4 | no | — |
| 758 | C2×D4 | — | 10 | 4 | no | — |
| 759 | C2×D4 | — | 10 | 16 | no | — |
| 760 | C2×D4 | — | 10 | 32 | no | — |
| 761 | C2×D4 | — | 10 | 8 | no | — |
| 762 | C2×D4 | — | 10 | 2 | no | — |
| 763 | C2×D4 | — | 10 | 8 | no | — |
| 764 | C2×D4 | D4×D5 | 1 | 2 | yes | — |
| 765 | C2×D4 | D4×D5 | 1 | 2 | yes | — |
| 766 | C2×D4 | C23×D5 | 1 | 2 | yes | — |
| 767 | C22×C4 | — | 2 | 2 | no | — |
| 768 | C22×C4 | — | 2 | 2 | no | — |
| 769 | C22×C4 | — | 2 | 1 | no | — |
| 770 | C22×C4 | — | 2 | 1 | no | — |
| 771 | C22×C4 | — | 5 | 1 | no | — |
| 772 | C22×C4 | — | 5 | 2 | no | — |
| 773 | C22×C4 | — | 5 | 2 | no | — |
| 774 | C22×C4 | — | 5 | 2 | no | — |
| 775 | C22×C4 | — | 5 | 4 | no | — |
| 776 | C22×C4 | — | 5 | 2 | no | — |
| 777 | C22×C4 | — | 5 | 2 | no | — |
| 778 | C22×C4 | — | 5 | 8 | no | — |
| 779 | C22×C4 | — | 10 | 2 | no | — |
| 780 | C22×C4 | — | 10 | 8 | no | — |
| 781 | C22×C4 | — | 10 | 8 | no | — |
| 782 | C22×C4 | — | 10 | 2 | no | — |
| 783 | C22×C4 | — | 10 | 4 | no | — |
| 784 | C22×C4 | — | 10 | 16 | no | — |
| 785 | C22×C4 | — | 10 | 4 | no | — |
| 786 | C22×C4 | — | 10 | 2 | no | — |
| 787 | C22×C4 | — | 10 | 2 | no | — |
| 788 | C22×C4 | — | 10 | 4 | no | — |
| 789 | C22×C4 | — | 10 | 2 | no | — |
| 790 | C22×C4 | — | 10 | 4 | no | — |
| 791 | C22×C4 | — | 10 | 2 | no | — |
| 792 | C22×C4 | — | 10 | 16 | no | — |
| 793 | C22×C4 | — | 10 | 2 | no | — |
| 794 | C22×C4 | — | 10 | 1 | no | — |
| 795 | C22×C4 | — | 10 | 1 | no | — |
| 796 | C22×C4 | — | 20 | 2 | no | — |
| 797 | C22×C4 | — | 20 | 2 | no | — |
| 798 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 799 | Q16 | — | 2 | 8 | no | — |
| 800 | Q16 | — | 10 | 8 | no | — |
| 801 | Q16 | — | 10 | 8 | no | — |
| 802 | Q16 | — | 10 | 8 | no | — |
| 803 | SD16 | — | 2 | 8 | no | — |
| 804 | SD16 | — | 10 | 8 | no | — |
| 805 | SD16 | — | 10 | 8 | no | — |
| 806 | SD16 | — | 10 | 8 | no | — |
| 807 | M16 | — | 2 | 2 | no | — |
| 808 | M16 | — | 5 | 4 | no | — |
| 809 | M16 | — | 10 | 8 | no | — |
| 810 | M16 | — | 10 | 2 | no | — |
| 811 | M16 | C23×D5 | 1 | 4 | yes | — |
| 812 | C2×C8 | — | 2 | 2 | no | — |
| 813 | C2×C8 | — | 10 | 8 | no | — |
| 814 | C2×C8 | — | 10 | 2 | no | — |
| 815 | C4⋊C4 | — | 10 | 4 | no | — |
| 816 | C4⋊C4 | — | 10 | 8 | no | — |
| 817 | C4⋊C4 | — | 10 | 8 | no | — |
| 818 | C22⋊C4 | — | 2 | 8 | no | — |
| 819 | C22⋊C4 | — | 10 | 4 | no | — |
| 820 | C22⋊C4 | — | 10 | 8 | no | — |
| 821 | C42 | — | 2 | 1 | no | — |
| 822 | C42 | — | 5 | 2 | no | — |
| 823 | C42 | — | 10 | 1 | no | — |
| 824 | C42 | C23×D5 | 1 | 2 | yes | — |
| 825 | C2×C5 | — | 2 | 1 | no | — |
| 826 | C2×C5 | — | 2 | 1 | no | — |
| 827 | C2×C5 | — | 4 | 4 | no | — |
| 828 | C2×C5 | — | 4 | 4 | no | — |
| 829 | C2×C5 | #3022 | 1 | 2 | yes | complemented |
| 830 | C2×C5 | C22×#120 | 1 | 1 | yes | characteristic |
| 831 | D5 | — | 2 | 4 | no | — |
| 832 | D5 | — | 4 | 4 | no | — |
| 833 | C23 | — | 2 | 8 | no | — |
| 834 | C23 | — | 2 | 2 | no | — |
| 835 | C23 | — | 2 | 2 | no | — |
| 836 | C23 | — | 2 | 2 | no | — |
| 837 | C23 | — | 4 | 4 | no | — |
| 838 | C23 | — | 5 | 2 | no | — |
| 839 | C23 | — | 5 | 2 | no | — |
| 840 | C23 | — | 5 | 2 | no | — |
| 841 | C23 | — | 8 | 4 | no | — |
| 842 | C23 | — | 10 | 8 | no | — |
| 843 | C23 | — | 10 | 8 | no | — |
| 844 | C23 | — | 10 | 2 | no | — |
| 845 | C23 | — | 20 | 2 | no | — |
| 846 | C23 | — | 40 | 4 | no | — |
| 847 | C23 | — | 40 | 4 | no | — |
| 848 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 849 | C23 | C2×D4×D5 | 1 | 4 | yes | — |
| 850 | Q8 | — | 2 | 2 | no | — |
| 851 | Q8 | — | 2 | 4 | no | — |
| 852 | Q8 | — | 4 | 2 | no | — |
| 853 | Q8 | — | 5 | 4 | no | — |
| 854 | Q8 | — | 10 | 8 | no | — |
| 855 | Q8 | — | 10 | 16 | no | — |
| 856 | Q8 | — | 10 | 4 | no | — |
| 857 | Q8 | — | 10 | 2 | no | — |
| 858 | Q8 | — | 10 | 4 | no | — |
| 859 | Q8 | — | 10 | 4 | no | — |
| 860 | Q8 | — | 20 | 4 | no | — |
| 861 | Q8 | — | 20 | 4 | no | — |
| 862 | Q8 | — | 20 | 2 | no | — |
| 863 | Q8 | C2×D4×D5 | 1 | 4 | yes | — |
| 864 | D4 | — | 2 | 16 | no | — |
| 865 | D4 | — | 2 | 4 | no | — |
| 866 | D4 | — | 2 | 4 | no | — |
| 867 | D4 | — | 2 | 4 | no | — |
| 868 | D4 | — | 2 | 2 | no | — |
| 869 | D4 | — | 2 | 4 | no | — |
| 870 | D4 | — | 5 | 4 | no | — |
| 871 | D4 | — | 10 | 8 | no | — |
| 872 | D4 | — | 10 | 8 | no | — |
| 873 | D4 | — | 10 | 16 | no | — |
| 874 | D4 | — | 10 | 8 | no | — |
| 875 | D4 | — | 10 | 16 | no | — |
| 876 | D4 | — | 10 | 16 | no | — |
| 877 | D4 | — | 10 | 4 | no | — |
| 878 | D4 | — | 10 | 4 | no | — |
| 879 | D4 | — | 10 | 2 | no | — |
| 880 | D4 | C2×D4×D5 | 1 | 4 | yes | — |
| 881 | C2×C4 | — | 2 | 8 | no | — |
| 882 | C2×C4 | — | 2 | 2 | no | — |
| 883 | C2×C4 | — | 2 | 4 | no | — |
| 884 | C2×C4 | — | 2 | 4 | no | — |
| 885 | C2×C4 | — | 2 | 2 | no | — |
| 886 | C2×C4 | — | 2 | 2 | no | — |
| 887 | C2×C4 | — | 4 | 2 | no | — |
| 888 | C2×C4 | — | 4 | 1 | no | — |
| 889 | C2×C4 | — | 4 | 1 | no | — |
| 890 | C2×C4 | — | 5 | 2 | no | — |
| 891 | C2×C4 | — | 5 | 1 | no | — |
| 892 | C2×C4 | — | 5 | 1 | no | — |
| 893 | C2×C4 | — | 5 | 2 | no | — |
| 894 | C2×C4 | — | 5 | 4 | no | — |
| 895 | C2×C4 | — | 5 | 4 | no | — |
| 896 | C2×C4 | — | 5 | 4 | no | — |
| 897 | C2×C4 | — | 5 | 4 | no | — |
| 898 | C2×C4 | — | 5 | 4 | no | — |
| 899 | C2×C4 | — | 10 | 8 | no | — |
| 900 | C2×C4 | — | 10 | 8 | no | — |
| 901 | C2×C4 | — | 10 | 16 | no | — |
| 902 | C2×C4 | — | 10 | 8 | no | — |
| 903 | C2×C4 | — | 10 | 8 | no | — |
| 904 | C2×C4 | — | 10 | 8 | no | — |
| 905 | C2×C4 | — | 10 | 16 | no | — |
| 906 | C2×C4 | — | 10 | 8 | no | — |
| 907 | C2×C4 | — | 10 | 2 | no | — |
| 908 | C2×C4 | — | 10 | 2 | no | — |
| 909 | C2×C4 | — | 10 | 2 | no | — |
| 910 | C2×C4 | — | 10 | 4 | no | — |
| 911 | C2×C4 | — | 10 | 4 | no | — |
| 912 | C2×C4 | — | 10 | 2 | no | — |
| 913 | C2×C4 | — | 10 | 2 | no | — |
| 914 | C2×C4 | — | 20 | 8 | no | — |
| 915 | C2×C4 | — | 20 | 2 | no | — |
| 916 | C2×C4 | — | 20 | 1 | no | — |
| 917 | C2×C4 | — | 20 | 1 | no | — |
| 918 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 919 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 920 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 921 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 922 | C8 | — | 2 | 4 | no | — |
| 923 | C8 | — | 10 | 4 | no | — |
| 924 | C5 | C2×#3022 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 925 | C22 | — | 2 | 2 | no | — |
| 926 | C22 | — | 2 | 4 | no | — |
| 927 | C22 | — | 2 | 4 | no | — |
| 928 | C22 | — | 4 | 4 | no | — |
| 929 | C22 | — | 4 | 4 | no | — |
| 930 | C22 | — | 4 | 4 | no | — |
| 931 | C22 | — | 5 | 4 | no | — |
| 932 | C22 | — | 8 | 2 | no | — |
| 933 | C22 | — | 8 | 8 | no | — |
| 934 | C22 | — | 10 | 4 | no | — |
| 935 | C22 | — | 10 | 4 | no | — |
| 936 | C22 | — | 20 | 2 | no | — |
| 937 | C22 | — | 20 | 2 | no | — |
| 938 | C22 | — | 20 | 4 | no | — |
| 939 | C22 | — | 40 | 8 | no | — |
| 940 | C22 | — | 40 | 8 | no | — |
| 941 | C22 | D5×#120 | 1 | 1 | yes | characteristic |
| 942 | C22 | D5×#120 | 1 | 1 | yes | characteristic |
| 943 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 944 | C4 | — | 2 | 4 | no | — |
| 945 | C4 | — | 4 | 2 | no | — |
| 946 | C4 | — | 4 | 2 | no | — |
| 947 | C4 | — | 5 | 2 | no | — |
| 948 | C4 | — | 5 | 2 | no | — |
| 949 | C4 | — | 10 | 4 | no | — |
| 950 | C4 | — | 10 | 4 | no | — |
| 951 | C4 | — | 20 | 2 | no | — |
| 952 | C4 | — | 20 | 2 | no | — |
| 953 | C4 | D5×#120 | 1 | 2 | yes | — |
| 954 | C4 | C22×D4×D5 | 1 | 2 | yes | — |
| 955 | C2 | — | 2 | 1 | no | — |
| 956 | C2 | — | 2 | 1 | no | — |
| 957 | C2 | — | 4 | 4 | no | — |
| 958 | C2 | — | 4 | 4 | no | — |
| 959 | C2 | — | 10 | 4 | no | — |
| 960 | C2 | — | 20 | 4 | no | — |
| 961 | C2 | #10612024 | 1 | 2 | yes | direct product factor |
| 962 | C2 | C2×D5×#120 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×D5×#137 | C2 | semidirect |
| 3. C2×#66009 | C2 | semidirect |
| 4. C2×C5×#455 | C2 | semidirect |
| 5. C2×#65531 | C2 | semidirect |
| 6. C2×#65494 | C2 | semidirect |
| 7. C2×#65350 | C2 | semidirect |
| 8. #10612024 | C2 | direct (N × H) |
| 9. C2×#65115 | C2 | semidirect |
| 10. C2×#65110 | C2 | semidirect |
| 11. C2×#65035 | C2 | semidirect |
| 12. C2×#65034 | C2 | semidirect |
| 21. C22×Q8×D5 | C22 | semidirect |
| 28. C2×C5×#137 | C22 | semidirect |
| 29. C2×C5×#124 | C22 | semidirect |
| 30. C2×#4097 | C22 | semidirect |
| 31. C2×#4090 | C22 | semidirect |
| 32. C2×#4088 | C22 | semidirect |
| 33. C2×#4082 | C22 | semidirect |
| 35. D5×#137 | C22 | semidirect |
| 40. C2×#4055 | C22 | semidirect |
| 41. C2×D5×M16 | C22 | semidirect |
| 43. #66009 | C22 | semidirect |
| 46. C2×#4018 | C22 | semidirect |
| 47. C2×#4015 | C22 | semidirect |
| 48. C5×#455 | C22 | semidirect |
| 49. C2×C5×#104 | C22 | semidirect |
| 50. C2×C5×#100 | C22 | semidirect |
| 51. #65531 | C22 | semidirect |
| 52. C2×#3969 | C22 | semidirect |
| 53. C2×#3965 | C22 | semidirect |
| 54. #65494 | C22 | semidirect |
| 55. C2×#3957 | C22 | semidirect |
| 56. C2×#3956 | C22 | semidirect |
| 57. #65350 | C22 | semidirect |
| 58. C2×#3937 | C22 | semidirect |
| 59. #65115 | C22 | semidirect |
| 60. #65110 | C22 | semidirect |
| 61. #65035 | C22 | semidirect |
| 62. #65034 | C22 | semidirect |
| 98. C2×Q8×D5 | C23 | semidirect |
| 141. C5×#137 | C23 | semidirect |
| 146. C5×#124 | C23 | semidirect |
| 151. #4097 | C23 | semidirect |
| 153. #4090 | C23 | semidirect |
| 157. #4088 | C23 | semidirect |
| 160. #4082 | C23 | semidirect |
| 173. #4055 | C23 | semidirect |
| 175. D5×M16 | C23 | semidirect |
| 183. #4018 | C23 | semidirect |
| 185. #4015 | C23 | semidirect |
| 186. C5×#104 | C23 | semidirect |
| 187. C5×#100 | C23 | semidirect |
| 188. #3969 | C23 | semidirect |
| 189. #3965 | C23 | semidirect |
| 190. #3957 | C23 | semidirect |
| 191. #3956 | C23 | semidirect |
| 192. #3937 | C23 | semidirect |
| 202. C2×#455 | D5 | semidirect |
| 387. C2×#137 | C2×D5 | semidirect |
| 396. C2×#124 | C2×D5 | semidirect |
| 405. #455 | C2×D5 | semidirect |
| 410. C2×#104 | C2×D5 | semidirect |
| 414. C2×#100 | C2×D5 | semidirect |
| 591. #137 | C22×D5 | semidirect |
| 615. #124 | C22×D5 | semidirect |
| 631. #104 | C22×D5 | semidirect |
| 634. #100 | C22×D5 | semidirect |
| 829. C2×C5 | #3022 | semidirect |
| 924. C5 | C2×#3022 | semidirect |
| 961. C2 | #10612024 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66285 | 2 |
| C2×D5×#137 | 2 |
| C2×#66009 | 2 |
| C2×C5×#455 | 2 |
| C2×#65531 | 2 |
| C2×#65494 | 2 |
| C2×#65350 | 2 |
| #10612024 | 2 |
| C2×#65115 | 2 |
| C2×#65110 | 2 |
| C2×#65035 | 2 |
| C2×#65034 | 2 |
| C2×#3022 | 5 |