Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2646 conjugacy classes of subgroups.
The subgroup lattice has 960 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#66100 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #10618115 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C4×#4147 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×C5×#462 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10615608 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10614940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10614172 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10612210 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10612209 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10612208 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10612207 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10612206 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | D5×#462 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #10610752 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10610743 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10610546 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #10610521 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | C2×#4147 | C22 | 1 | 2 | yes | — |
| 19 | C2×#4147 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×C5×Q16 | C22 | 1 | 2 | yes | — |
| 21 | C2×C5×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C4×C5×Q8 | C22 | 1 | 1 | yes | characteristic |
| 23 | #66150 | C22 | 1 | 2 | yes | — |
| 24 | #66146 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#4088 | C22 | 1 | 2 | yes | — |
| 26 | C2×#4088 | C22 | 1 | 2 | yes | — |
| 27 | #66100 | — | 2 | 16 | no | — |
| 28 | C2×#4065 | C22 | 1 | 4 | yes | — |
| 29 | C2×#4064 | C22 | 1 | 4 | yes | — |
| 30 | C2×#4064 | C22 | 1 | 4 | yes | — |
| 31 | C2×D5×Q16 | C22 | 1 | 4 | yes | — |
| 32 | C2×#4050 | C22 | 1 | 2 | yes | — |
| 33 | C2×#4047 | C22 | 1 | 2 | yes | — |
| 34 | #66061 | — | 2 | 1 | no | — |
| 35 | #66061 | — | 2 | 1 | no | — |
| 36 | #66060 | — | 2 | 1 | no | — |
| 37 | #66060 | — | 2 | 1 | no | — |
| 38 | #66059 | C22 | 1 | 2 | yes | — |
| 39 | #66058 | C22 | 1 | 4 | yes | — |
| 40 | D5×C4⋊Q8 | C22 | 1 | 2 | yes | — |
| 41 | #65908 | — | 2 | 1 | no | — |
| 42 | #65908 | C22 | 1 | 2 | yes | — |
| 43 | C4×#713 | — | 2 | 1 | no | — |
| 44 | C4×#713 | C22 | 1 | 2 | yes | — |
| 45 | #65906 | — | 2 | 1 | no | — |
| 46 | #65906 | C22 | 1 | 2 | yes | — |
| 47 | C4×Q8×D5 | — | 2 | 1 | no | — |
| 48 | C4×Q8×D5 | C22 | 1 | 2 | yes | — |
| 49 | #65841 | — | 2 | 2 | no | — |
| 50 | #65841 | — | 2 | 2 | no | — |
| 51 | #65838 | — | 2 | 2 | no | — |
| 52 | #65838 | C22 | 1 | 1 | yes | characteristic |
| 53 | #65838 | C22 | 1 | 1 | yes | characteristic |
| 54 | #65811 | C22 | 1 | 1 | yes | characteristic |
| 55 | C4×#709 | — | 2 | 2 | no | — |
| 56 | C4×#709 | C22 | 1 | 1 | yes | characteristic |
| 57 | C4×#709 | C22 | 1 | 1 | yes | characteristic |
| 58 | C5×#462 | C22 | 1 | 2 | yes | — |
| 59 | C5×#462 | C22 | 1 | 2 | yes | — |
| 60 | C5×#462 | C22 | 1 | 4 | yes | — |
| 61 | C2×C5×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 62 | C2×C5×#103 | C22 | 1 | 2 | yes | — |
| 63 | #65514 | C22 | 1 | 2 | yes | — |
| 64 | #65474 | C22 | 1 | 4 | yes | — |
| 65 | #65474 | C22 | 1 | 4 | yes | — |
| 66 | #65471 | C22 | 1 | 4 | yes | — |
| 67 | #65471 | C22 | 1 | 4 | yes | — |
| 68 | #65402 | C22 | 1 | 2 | yes | — |
| 69 | #65391 | C22 | 1 | 2 | yes | — |
| 70 | #65379 | C22 | 1 | 2 | yes | — |
| 71 | #65379 | C22 | 1 | 2 | yes | — |
| 72 | #65372 | C22 | 1 | 2 | yes | — |
| 73 | #65372 | C22 | 1 | 2 | yes | — |
| 74 | #65320 | C22 | 1 | 2 | yes | — |
| 75 | #65317 | C22 | 1 | 4 | yes | — |
| 76 | #65316 | C22 | 1 | 2 | yes | — |
| 77 | #65255 | C22 | 1 | 2 | yes | — |
| 78 | #65213 | C22 | 1 | 1 | yes | characteristic |
| 79 | #65138 | C22 | 1 | 1 | yes | characteristic |
| 80 | #65137 | C22 | 1 | 1 | yes | characteristic |
| 81 | #65134 | C22 | 1 | 2 | yes | — |
| 82 | #65133 | C22 | 1 | 2 | yes | — |
| 83 | #65132 | C22 | 1 | 1 | yes | characteristic |
| 84 | #65130 | C22 | 1 | 1 | yes | characteristic |
| 85 | #65128 | C22 | 1 | 4 | yes | — |
| 86 | #65126 | C22 | 1 | 2 | yes | — |
| 87 | D5×C4⋊C8 | C22 | 1 | 2 | yes | — |
| 88 | #65108 | C22 | 1 | 4 | yes | — |
| 89 | #65107 | C22 | 1 | 4 | yes | — |
| 90 | #65093 | C22 | 1 | 4 | yes | — |
| 91 | #65092 | C22 | 1 | 4 | yes | — |
| 92 | #65091 | C22 | 1 | 4 | yes | — |
| 93 | D5×#103 | C22 | 1 | 4 | yes | — |
| 94 | #65087 | C22 | 1 | 4 | yes | — |
| 95 | #65082 | C22 | 1 | 4 | yes | — |
| 96 | #60432 | — | 5 | 1 | no | maximal, Sylow |
| 97 | C22×C5×Q8 | C23 | 1 | 2 | yes | — |
| 98 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 99 | #4147 | — | 2 | 4 | no | — |
| 100 | #4147 | — | 2 | 8 | no | — |
| 101 | #4147 | — | 2 | 8 | no | — |
| 102 | #4147 | D4 | 1 | 8 | yes | complemented |
| 103 | C2×#713 | — | 2 | 1 | no | — |
| 104 | C2×#713 | — | 2 | 2 | no | — |
| 105 | C2×#713 | C23 | 1 | 4 | yes | — |
| 106 | C2×#713 | C23 | 1 | 2 | yes | — |
| 107 | C2×Q8×D5 | — | 2 | 1 | no | — |
| 108 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 109 | C2×Q8×D5 | C23 | 1 | 4 | yes | — |
| 110 | C2×Q8×D5 | C23 | 1 | 2 | yes | — |
| 111 | C2×#709 | — | 2 | 2 | no | — |
| 112 | C2×#709 | — | 2 | 4 | no | — |
| 113 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×#709 | C23 | 1 | 2 | yes | — |
| 115 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 116 | C2×C5×Q16 | — | 2 | 8 | no | — |
| 117 | C2×C5×Q16 | C23 | 1 | 4 | yes | — |
| 118 | C2×C5×Q16 | C23 | 1 | 4 | yes | — |
| 119 | C22×C5×C8 | C23 | 1 | 2 | yes | — |
| 120 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 121 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 122 | C5×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 123 | C5×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 124 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 125 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 126 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 127 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 128 | C2×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 129 | C2×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 130 | C2×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 131 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 132 | C2×C42×C5 | — | 2 | 1 | no | — |
| 133 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 134 | #4093 | C23 | 1 | 4 | yes | — |
| 135 | #4092 | — | 2 | 2 | no | — |
| 136 | #4092 | — | 2 | 2 | no | — |
| 137 | Q8×Dic5 | — | 2 | 1 | no | — |
| 138 | Q8×Dic5 | — | 2 | 1 | no | — |
| 139 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 140 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 141 | #4090 | C23 | 1 | 4 | yes | — |
| 142 | C2×#689 | C23 | 1 | 4 | yes | — |
| 143 | C2×#689 | C23 | 1 | 4 | yes | — |
| 144 | #4088 | — | 2 | 8 | no | — |
| 145 | #4088 | — | 2 | 8 | no | — |
| 146 | C2×#688 | C23 | 1 | 4 | yes | — |
| 147 | C2×#688 | C23 | 1 | 4 | yes | — |
| 148 | #4076 | — | 2 | 1 | no | — |
| 149 | #4076 | — | 2 | 1 | no | — |
| 150 | #4075 | — | 2 | 4 | no | — |
| 151 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 152 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 153 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 154 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 155 | C4×C22⋊D5 | D4 | 1 | 2 | yes | — |
| 156 | C4×C22⋊D5 | D4 | 1 | 2 | yes | — |
| 157 | #4072 | — | 2 | 2 | no | — |
| 158 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 159 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 160 | C2×#681 | C23 | 1 | 2 | yes | — |
| 161 | #4065 | — | 2 | 16 | no | — |
| 162 | #4064 | — | 2 | 16 | no | — |
| 163 | #4064 | — | 2 | 16 | no | — |
| 164 | D5×Q16 | — | 2 | 16 | no | — |
| 165 | C2×Dic20 | C23 | 1 | 2 | yes | — |
| 166 | #4050 | — | 2 | 8 | no | — |
| 167 | C2×D40 | C23 | 1 | 2 | yes | — |
| 168 | C2×#677 | C23 | 1 | 2 | yes | — |
| 169 | C2×#677 | C23 | 1 | 2 | yes | — |
| 170 | #4047 | — | 2 | 8 | no | — |
| 171 | C2×#676 | C23 | 1 | 4 | yes | — |
| 172 | C2×C8×D5 | C23 | 1 | 4 | yes | — |
| 173 | #4042 | — | 2 | 4 | no | — |
| 174 | #4042 | — | 2 | 4 | no | — |
| 175 | #4041 | — | 2 | 2 | no | — |
| 176 | #4041 | — | 2 | 2 | no | — |
| 177 | #4040 | — | 2 | 4 | no | — |
| 178 | #4040 | — | 2 | 4 | no | — |
| 179 | #4039 | — | 2 | 1 | no | — |
| 180 | #4039 | — | 2 | 2 | no | — |
| 181 | #4039 | — | 2 | 2 | no | — |
| 182 | #4039 | — | 2 | 2 | no | — |
| 183 | #4039 | — | 2 | 2 | no | — |
| 184 | #4039 | C23 | 1 | 2 | yes | — |
| 185 | #4038 | — | 2 | 2 | no | — |
| 186 | #4038 | — | 2 | 1 | no | — |
| 187 | #4038 | — | 2 | 2 | no | — |
| 188 | #4038 | C23 | 1 | 2 | yes | — |
| 189 | D5×C4⋊C4 | — | 2 | 2 | no | — |
| 190 | D5×C4⋊C4 | — | 2 | 2 | no | — |
| 191 | D5×C4⋊C4 | — | 2 | 2 | no | — |
| 192 | D5×C4⋊C4 | — | 2 | 1 | no | — |
| 193 | D5×C4⋊C4 | — | 2 | 2 | no | — |
| 194 | D5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 195 | #4034 | — | 2 | 2 | no | — |
| 196 | #4034 | — | 2 | 2 | no | — |
| 197 | #4033 | — | 2 | 1 | no | — |
| 198 | #4033 | — | 2 | 2 | no | — |
| 199 | #4033 | — | 2 | 2 | no | — |
| 200 | #4033 | C23 | 1 | 2 | yes | — |
| 201 | #4021 | C23 | 1 | 2 | yes | — |
| 202 | #4020 | C23 | 1 | 1 | yes | characteristic |
| 203 | C4×D20 | — | 2 | 2 | no | — |
| 204 | C4×D20 | — | 2 | 1 | no | — |
| 205 | C4×D20 | — | 2 | 1 | no | — |
| 206 | C4×D20 | — | 2 | 2 | no | — |
| 207 | C4×D20 | D4 | 1 | 1 | yes | characteristic |
| 208 | C4×D20 | D4 | 1 | 1 | yes | characteristic |
| 209 | C4×D20 | C23 | 1 | 1 | yes | characteristic |
| 210 | C4×D20 | C23 | 1 | 1 | yes | characteristic |
| 211 | #4018 | — | 2 | 1 | no | — |
| 212 | #4018 | — | 2 | 2 | no | — |
| 213 | #4018 | — | 2 | 2 | no | — |
| 214 | #4018 | C23 | 1 | 2 | yes | — |
| 215 | C42×D5 | — | 2 | 2 | no | — |
| 216 | C42×D5 | — | 2 | 1 | no | — |
| 217 | C42×D5 | — | 2 | 2 | no | — |
| 218 | C42×D5 | C23 | 1 | 2 | yes | — |
| 219 | #4015 | C23 | 1 | 1 | yes | characteristic |
| 220 | C4×Dic10 | — | 2 | 2 | no | — |
| 221 | C4×Dic10 | — | 2 | 2 | no | — |
| 222 | C4×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 223 | C4×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 224 | C4×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 225 | C4×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 226 | C5×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 227 | C5×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 228 | C5×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 229 | C5×#103 | C23 | 1 | 4 | yes | — |
| 230 | C5×#103 | C23 | 1 | 4 | yes | — |
| 231 | #3967 | C23 | 1 | 4 | yes | — |
| 232 | #3967 | C23 | 1 | 4 | yes | — |
| 233 | #3953 | C23 | 1 | 2 | yes | — |
| 234 | #3953 | C23 | 1 | 2 | yes | — |
| 235 | #3948 | C23 | 1 | 2 | yes | — |
| 236 | #3948 | C23 | 1 | 2 | yes | — |
| 237 | #3946 | C23 | 1 | 4 | yes | — |
| 238 | #3946 | C23 | 1 | 4 | yes | — |
| 239 | #3942 | C23 | 1 | 4 | yes | — |
| 240 | #3941 | C23 | 1 | 4 | yes | — |
| 241 | C4⋊#168 | C23 | 1 | 2 | yes | — |
| 242 | C4⋊#168 | C23 | 1 | 2 | yes | — |
| 243 | C2×#578 | — | 5 | 2 | no | — |
| 244 | #3499 | — | 5 | 1 | no | — |
| 245 | C4×2−1+4 | — | 5 | 1 | no | — |
| 246 | #3046 | — | 5 | 4 | no | — |
| 247 | #3046 | — | 5 | 2 | no | — |
| 248 | #3044 | — | 5 | 4 | no | — |
| 249 | #3044 | — | 5 | 2 | no | — |
| 250 | #3039 | — | 5 | 2 | no | — |
| 251 | #3039 | — | 5 | 1 | no | — |
| 252 | #3037 | — | 5 | 2 | no | — |
| 253 | #3037 | — | 5 | 1 | no | — |
| 254 | #3035 | — | 5 | 2 | no | — |
| 255 | #3035 | — | 5 | 1 | no | — |
| 256 | C2×#462 | — | 5 | 2 | no | — |
| 257 | C2×#462 | D5 | 1 | 1 | yes | characteristic, complemented |
| 258 | #2906 | — | 5 | 1 | no | — |
| 259 | #2898 | — | 5 | 2 | no | — |
| 260 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 261 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 262 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 263 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 264 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 265 | C2×C5×Q8 | C2×D4 | 1 | 4 | yes | — |
| 266 | C2×C5×Q8 | C24 | 1 | 4 | yes | — |
| 267 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 268 | C22×C4×C5 | — | 2 | 1 | no | — |
| 269 | C22×C4×C5 | — | 2 | 2 | no | — |
| 270 | C22×C4×C5 | — | 2 | 1 | no | — |
| 271 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 274 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 275 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 276 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 277 | #713 | — | 2 | 8 | no | — |
| 278 | #713 | — | 2 | 4 | no | — |
| 279 | #713 | — | 2 | 8 | no | — |
| 280 | #713 | — | 2 | 8 | no | — |
| 281 | #713 | — | 4 | 8 | no | — |
| 282 | #713 | C2×D4 | 1 | 8 | yes | — |
| 283 | Q8×D5 | — | 2 | 4 | no | — |
| 284 | Q8×D5 | — | 2 | 8 | no | — |
| 285 | Q8×D5 | — | 2 | 8 | no | — |
| 286 | Q8×D5 | — | 2 | 8 | no | — |
| 287 | Q8×D5 | — | 4 | 8 | no | — |
| 288 | Q8×D5 | C2×D4 | 1 | 8 | yes | — |
| 289 | #709 | — | 2 | 2 | no | — |
| 290 | #709 | — | 2 | 16 | no | — |
| 291 | #709 | — | 2 | 4 | no | — |
| 292 | #709 | — | 2 | 4 | no | — |
| 293 | #709 | — | 4 | 16 | no | — |
| 294 | #709 | C2×D4 | 1 | 4 | yes | — |
| 295 | #709 | C2×D4 | 1 | 4 | yes | — |
| 296 | #709 | #41 | 1 | 4 | yes | — |
| 297 | C2×D20 | — | 2 | 2 | no | — |
| 298 | C2×D20 | — | 2 | 4 | no | — |
| 299 | C2×D20 | — | 2 | 1 | no | — |
| 300 | C2×D20 | — | 2 | 1 | no | — |
| 301 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 302 | C2×D20 | C24 | 1 | 2 | yes | — |
| 303 | C2×D20 | C24 | 1 | 1 | yes | characteristic |
| 304 | C2×C4×D5 | — | 2 | 2 | no | — |
| 305 | C2×C4×D5 | — | 2 | 1 | no | — |
| 306 | C2×C4×D5 | — | 2 | 2 | no | — |
| 307 | C2×C4×D5 | — | 2 | 4 | no | — |
| 308 | C2×C4×D5 | — | 2 | 2 | no | — |
| 309 | C2×C4×D5 | — | 2 | 1 | no | — |
| 310 | C2×C4×D5 | — | 2 | 4 | no | — |
| 311 | C2×C4×D5 | — | 2 | 2 | no | — |
| 312 | C2×C4×D5 | — | 2 | 1 | no | — |
| 313 | C2×C4×D5 | — | 2 | 2 | no | — |
| 314 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 315 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 316 | C2×C4×D5 | C24 | 1 | 2 | yes | — |
| 317 | C2×Dic10 | — | 2 | 2 | no | — |
| 318 | C2×Dic10 | — | 2 | 4 | no | — |
| 319 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 320 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 321 | C2×Dic10 | C24 | 1 | 1 | yes | characteristic |
| 322 | C5×Q16 | — | 2 | 8 | no | — |
| 323 | C5×Q16 | — | 2 | 8 | no | — |
| 324 | C2×C5×C8 | — | 2 | 4 | no | — |
| 325 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 326 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 327 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 328 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 329 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 330 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 331 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 332 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 333 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 334 | C5×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 335 | C42×C5 | — | 2 | 2 | no | — |
| 336 | C42×C5 | — | 2 | 2 | no | — |
| 337 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 338 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 340 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 341 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 342 | C22⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 343 | #689 | — | 2 | 8 | no | — |
| 344 | #689 | — | 2 | 8 | no | — |
| 345 | #688 | — | 2 | 8 | no | — |
| 346 | #688 | — | 2 | 8 | no | — |
| 347 | #685 | — | 2 | 2 | no | — |
| 348 | #685 | — | 2 | 1 | no | — |
| 349 | #685 | — | 2 | 1 | no | — |
| 350 | #685 | — | 2 | 2 | no | — |
| 351 | #685 | — | 2 | 2 | no | — |
| 352 | #685 | — | 2 | 2 | no | — |
| 353 | #685 | — | 2 | 4 | no | — |
| 354 | #685 | — | 2 | 4 | no | — |
| 355 | #685 | C2×D4 | 1 | 2 | yes | — |
| 356 | #685 | C2×D4 | 1 | 2 | yes | — |
| 357 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 358 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 359 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 360 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 361 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 362 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 363 | C4⋊Dic5 | C24 | 1 | 1 | yes | characteristic |
| 364 | C4⋊Dic5 | C24 | 1 | 1 | yes | characteristic |
| 365 | #683 | — | 2 | 1 | no | — |
| 366 | #683 | — | 2 | 1 | no | — |
| 367 | #683 | — | 2 | 2 | no | — |
| 368 | #683 | — | 2 | 2 | no | — |
| 369 | #683 | — | 2 | 4 | no | — |
| 370 | #683 | — | 2 | 4 | no | — |
| 371 | #683 | C2×D4 | 1 | 2 | yes | — |
| 372 | #683 | C2×D4 | 1 | 2 | yes | — |
| 373 | C4×Dic5 | — | 2 | 1 | no | — |
| 374 | C4×Dic5 | — | 2 | 1 | no | — |
| 375 | C4×Dic5 | — | 2 | 1 | no | — |
| 376 | C4×Dic5 | — | 2 | 2 | no | — |
| 377 | C4×Dic5 | — | 2 | 2 | no | — |
| 378 | C4×Dic5 | — | 2 | 2 | no | — |
| 379 | C4×Dic5 | — | 2 | 2 | no | — |
| 380 | C4×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 381 | C4×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 382 | C4×Dic5 | C24 | 1 | 2 | yes | — |
| 383 | #681 | — | 2 | 4 | no | — |
| 384 | C2×#168 | C24 | 1 | 4 | yes | — |
| 385 | Dic20 | — | 2 | 4 | no | — |
| 386 | D40 | — | 2 | 4 | no | — |
| 387 | #677 | — | 2 | 4 | no | — |
| 388 | #677 | — | 2 | 4 | no | — |
| 389 | #676 | — | 2 | 8 | no | — |
| 390 | C8×D5 | — | 2 | 8 | no | — |
| 391 | C2×2−1+4 | — | 5 | 1 | no | — |
| 392 | C2×2−1+4 | — | 5 | 2 | no | — |
| 393 | #578 | — | 10 | 16 | no | — |
| 394 | C2×#137 | — | 5 | 2 | no | — |
| 395 | C2×#137 | — | 5 | 2 | no | — |
| 396 | C2×#137 | — | 5 | 4 | no | — |
| 397 | C2×#137 | — | 5 | 4 | no | — |
| 398 | C2×#135 | — | 5 | 4 | no | — |
| 399 | C2×#135 | — | 5 | 2 | no | — |
| 400 | C22×Q16 | — | 5 | 4 | no | — |
| 401 | C22×Q16 | C2×D5 | 1 | 2 | yes | — |
| 402 | C2×#131 | — | 5 | 2 | no | — |
| 403 | D4×Q8 | — | 10 | 1 | no | — |
| 404 | D4×Q8 | — | 10 | 1 | no | — |
| 405 | #547 | — | 10 | 2 | no | — |
| 406 | #547 | — | 10 | 2 | no | — |
| 407 | #547 | — | 10 | 1 | no | — |
| 408 | #547 | — | 10 | 1 | no | — |
| 409 | #536 | — | 5 | 2 | no | — |
| 410 | #536 | — | 5 | 4 | no | — |
| 411 | #532 | — | 5 | 2 | no | — |
| 412 | #532 | — | 5 | 1 | no | — |
| 413 | C2×C4⋊Q8 | — | 5 | 2 | no | — |
| 414 | C2×C4⋊Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 415 | #520 | — | 5 | 1 | no | — |
| 416 | #520 | — | 5 | 2 | no | — |
| 417 | #520 | — | 5 | 1 | no | — |
| 418 | #520 | — | 10 | 2 | no | — |
| 419 | #520 | — | 10 | 1 | no | — |
| 420 | #519 | — | 5 | 1 | no | — |
| 421 | #519 | — | 5 | 2 | no | — |
| 422 | #519 | — | 10 | 1 | no | — |
| 423 | C4×#41 | — | 5 | 1 | no | — |
| 424 | C4×#41 | — | 5 | 2 | no | — |
| 425 | C4×#41 | — | 5 | 1 | no | — |
| 426 | C4×#41 | — | 10 | 2 | no | — |
| 427 | C4×#41 | — | 10 | 1 | no | — |
| 428 | C2×C4×Q8 | — | 5 | 2 | no | — |
| 429 | C2×C4×Q8 | — | 10 | 1 | no | — |
| 430 | C2×C4×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 431 | #464 | — | 5 | 4 | no | — |
| 432 | #464 | — | 5 | 4 | no | — |
| 433 | #464 | — | 5 | 4 | no | — |
| 434 | #464 | — | 5 | 2 | no | — |
| 435 | #464 | — | 5 | 4 | no | — |
| 436 | #463 | — | 5 | 2 | no | — |
| 437 | #463 | — | 5 | 4 | no | — |
| 438 | #462 | — | 5 | 4 | no | — |
| 439 | #462 | — | 5 | 4 | no | — |
| 440 | #462 | — | 5 | 2 | no | — |
| 441 | #462 | — | 5 | 2 | no | — |
| 442 | #462 | — | 5 | 2 | no | — |
| 443 | #462 | — | 5 | 1 | no | — |
| 444 | #462 | — | 5 | 4 | no | — |
| 445 | #462 | C2×D5 | 1 | 2 | yes | — |
| 446 | #462 | C2×D5 | 1 | 2 | yes | — |
| 447 | #462 | C2×D5 | 1 | 4 | yes | — |
| 448 | #461 | — | 5 | 2 | no | — |
| 449 | #461 | — | 5 | 2 | no | — |
| 450 | #461 | — | 5 | 1 | no | — |
| 451 | #461 | — | 5 | 4 | no | — |
| 452 | #460 | — | 5 | 2 | no | — |
| 453 | #460 | — | 5 | 1 | no | — |
| 454 | #459 | — | 5 | 1 | no | — |
| 455 | #424 | — | 5 | 2 | no | — |
| 456 | #424 | — | 5 | 4 | no | — |
| 457 | #423 | — | 5 | 1 | no | — |
| 458 | #423 | — | 5 | 2 | no | — |
| 459 | C2×C4⋊C8 | — | 5 | 2 | no | — |
| 460 | C2×C4⋊C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 461 | #419 | — | 5 | 2 | no | — |
| 462 | #419 | — | 5 | 4 | no | — |
| 463 | #417 | — | 5 | 2 | no | — |
| 464 | #417 | — | 5 | 4 | no | — |
| 465 | #416 | — | 5 | 2 | no | — |
| 466 | #416 | — | 5 | 4 | no | — |
| 467 | C2×#103 | — | 5 | 4 | no | — |
| 468 | C2×#103 | C2×D5 | 1 | 2 | yes | — |
| 469 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 470 | C22×D5 | — | 2 | 1 | no | — |
| 471 | C22×D5 | — | 2 | 2 | no | — |
| 472 | C22×D5 | C22×D4 | 1 | 2 | yes | — |
| 473 | C5×Q8 | — | 2 | 4 | no | — |
| 474 | C5×Q8 | — | 2 | 2 | no | — |
| 475 | C5×Q8 | — | 2 | 4 | no | — |
| 476 | C5×Q8 | — | 2 | 4 | no | — |
| 477 | C5×Q8 | — | 4 | 4 | no | — |
| 478 | C5×Q8 | C22×D4 | 1 | 4 | yes | — |
| 479 | C2×C4×C5 | — | 2 | 4 | no | — |
| 480 | C2×C4×C5 | — | 2 | 2 | no | — |
| 481 | C2×C4×C5 | — | 2 | 2 | no | — |
| 482 | C2×C4×C5 | — | 2 | 2 | no | — |
| 483 | C2×C4×C5 | — | 2 | 4 | no | — |
| 484 | C2×C4×C5 | — | 4 | 1 | no | — |
| 485 | C2×C4×C5 | — | 4 | 4 | no | — |
| 486 | C2×C4×C5 | — | 8 | 1 | no | — |
| 487 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 488 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 489 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 490 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 491 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 492 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 493 | C2×C4×C5 | C2×#41 | 1 | 2 | yes | — |
| 494 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 495 | C22⋊D5 | — | 2 | 4 | no | — |
| 496 | C22⋊D5 | — | 4 | 4 | no | — |
| 497 | C22⋊D5 | #121 | 1 | 8 | yes | — |
| 498 | C2×Dic5 | — | 2 | 1 | no | — |
| 499 | C2×Dic5 | — | 2 | 1 | no | — |
| 500 | C2×Dic5 | — | 2 | 1 | no | — |
| 501 | C2×Dic5 | — | 2 | 2 | no | — |
| 502 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 503 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 504 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 505 | D20 | — | 2 | 8 | no | — |
| 506 | D20 | — | 2 | 2 | no | — |
| 507 | D20 | — | 2 | 1 | no | — |
| 508 | D20 | — | 2 | 2 | no | — |
| 509 | D20 | — | 4 | 2 | no | — |
| 510 | D20 | — | 4 | 8 | no | — |
| 511 | D20 | — | 4 | 2 | no | — |
| 512 | D20 | #121 | 1 | 4 | yes | — |
| 513 | D20 | C22×D4 | 1 | 2 | yes | — |
| 514 | C4×D5 | — | 2 | 8 | no | — |
| 515 | C4×D5 | — | 2 | 4 | no | — |
| 516 | C4×D5 | — | 2 | 4 | no | — |
| 517 | C4×D5 | — | 2 | 8 | no | — |
| 518 | C4×D5 | — | 4 | 2 | no | — |
| 519 | C4×D5 | — | 4 | 8 | no | — |
| 520 | C4×D5 | — | 4 | 4 | no | — |
| 521 | C4×D5 | — | 4 | 2 | no | — |
| 522 | C4×D5 | — | 4 | 8 | no | — |
| 523 | C4×D5 | — | 8 | 2 | no | — |
| 524 | C4×D5 | — | 8 | 1 | no | — |
| 525 | C4×D5 | — | 8 | 2 | no | — |
| 526 | C4×D5 | C22×D4 | 1 | 4 | yes | — |
| 527 | C4×D5 | C2×#41 | 1 | 4 | yes | — |
| 528 | Dic10 | — | 2 | 1 | no | — |
| 529 | Dic10 | — | 2 | 8 | no | — |
| 530 | Dic10 | — | 2 | 2 | no | — |
| 531 | Dic10 | — | 2 | 2 | no | — |
| 532 | Dic10 | — | 4 | 8 | no | — |
| 533 | Dic10 | #121 | 1 | 4 | yes | — |
| 534 | Dic10 | C22×D4 | 1 | 2 | yes | — |
| 535 | C5×C8 | — | 2 | 2 | no | — |
| 536 | C5×C8 | — | 2 | 2 | no | — |
| 537 | #168 | — | 2 | 4 | no | — |
| 538 | 2−1+4 | — | 5 | 8 | no | — |
| 539 | 2−1+4 | — | 10 | 4 | no | — |
| 540 | 2−1+4 | — | 10 | 8 | no | — |
| 541 | 2−1+4 | — | 10 | 8 | no | — |
| 542 | C2×#41 | — | 5 | 1 | no | — |
| 543 | C2×#41 | — | 5 | 2 | no | — |
| 544 | C2×#41 | — | 5 | 4 | no | — |
| 545 | C2×#41 | — | 5 | 1 | no | — |
| 546 | C2×#41 | — | 5 | 2 | no | — |
| 547 | C2×#41 | — | 10 | 2 | no | — |
| 548 | C2×#41 | — | 10 | 4 | no | — |
| 549 | C2×#41 | — | 10 | 1 | no | — |
| 550 | C2×#41 | — | 10 | 2 | no | — |
| 551 | C22×Q8 | — | 5 | 2 | no | — |
| 552 | C22×Q8 | — | 5 | 4 | no | — |
| 553 | C22×Q8 | — | 10 | 1 | no | — |
| 554 | C22×Q8 | — | 10 | 2 | no | — |
| 555 | C22×Q8 | C22×D5 | 1 | 2 | yes | — |
| 556 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 557 | #137 | — | 10 | 16 | no | — |
| 558 | #137 | — | 10 | 16 | no | — |
| 559 | #137 | — | 10 | 8 | no | — |
| 560 | #137 | — | 10 | 8 | no | — |
| 561 | #135 | — | 10 | 8 | no | — |
| 562 | #135 | — | 10 | 16 | no | — |
| 563 | C2×Q16 | — | 2 | 8 | no | — |
| 564 | C2×Q16 | — | 5 | 4 | no | — |
| 565 | C2×Q16 | — | 5 | 4 | no | — |
| 566 | C2×Q16 | — | 5 | 2 | no | — |
| 567 | C2×Q16 | — | 10 | 16 | no | — |
| 568 | C2×Q16 | C22×D5 | 1 | 4 | yes | — |
| 569 | C2×Q16 | C22×D5 | 1 | 4 | yes | — |
| 570 | C2×SD16 | — | 5 | 4 | no | — |
| 571 | C2×SD16 | — | 5 | 4 | no | — |
| 572 | C2×SD16 | — | 5 | 2 | no | — |
| 573 | C2×SD16 | — | 5 | 2 | no | — |
| 574 | C2×D8 | — | 5 | 2 | no | — |
| 575 | #131 | — | 10 | 8 | no | — |
| 576 | C2×M16 | — | 5 | 2 | no | — |
| 577 | C2×M16 | — | 5 | 4 | no | — |
| 578 | C22×C8 | — | 5 | 4 | no | — |
| 579 | C22×C8 | C22×D5 | 1 | 2 | yes | — |
| 580 | C4⋊Q8 | — | 2 | 1 | no | — |
| 581 | C4⋊Q8 | — | 2 | 1 | no | — |
| 582 | C4⋊Q8 | — | 5 | 4 | no | — |
| 583 | C4⋊Q8 | — | 5 | 1 | no | — |
| 584 | C4⋊Q8 | — | 10 | 2 | no | — |
| 585 | C4⋊Q8 | — | 10 | 2 | no | — |
| 586 | C4⋊Q8 | C22×D5 | 1 | 2 | yes | — |
| 587 | C4⋊Q8 | C22×D5 | 1 | 2 | yes | — |
| 588 | #127 | — | 5 | 1 | no | — |
| 589 | #124 | — | 5 | 4 | no | — |
| 590 | #124 | — | 5 | 2 | no | — |
| 591 | #123 | — | 10 | 4 | no | — |
| 592 | #123 | — | 10 | 4 | no | — |
| 593 | #123 | — | 10 | 4 | no | — |
| 594 | C22⋊Q8 | — | 10 | 4 | no | — |
| 595 | C22⋊Q8 | — | 10 | 4 | no | — |
| 596 | C22⋊Q8 | — | 10 | 2 | no | — |
| 597 | C22⋊Q8 | — | 10 | 2 | no | — |
| 598 | #121 | — | 10 | 2 | no | — |
| 599 | #121 | — | 10 | 2 | no | — |
| 600 | #121 | — | 10 | 1 | no | — |
| 601 | #121 | — | 10 | 1 | no | — |
| 602 | C4×Q8 | — | 2 | 1 | no | — |
| 603 | C4×Q8 | — | 2 | 1 | no | — |
| 604 | C4×Q8 | — | 5 | 1 | no | — |
| 605 | C4×Q8 | — | 5 | 1 | no | — |
| 606 | C4×Q8 | — | 5 | 2 | no | — |
| 607 | C4×Q8 | — | 5 | 2 | no | — |
| 608 | C4×Q8 | — | 5 | 2 | no | — |
| 609 | C4×Q8 | — | 5 | 1 | no | — |
| 610 | C4×Q8 | — | 5 | 1 | no | — |
| 611 | C4×Q8 | — | 10 | 2 | no | — |
| 612 | C4×Q8 | — | 10 | 2 | no | — |
| 613 | C4×Q8 | — | 10 | 2 | no | — |
| 614 | C4×Q8 | — | 10 | 2 | no | — |
| 615 | C4×Q8 | — | 10 | 1 | no | — |
| 616 | C4×Q8 | — | 10 | 1 | no | — |
| 617 | C4×Q8 | — | 10 | 1 | no | — |
| 618 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 619 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 620 | C4×D4 | — | 5 | 2 | no | — |
| 621 | C4×D4 | — | 5 | 2 | no | — |
| 622 | C4×D4 | — | 5 | 2 | no | — |
| 623 | C4×D4 | — | 5 | 1 | no | — |
| 624 | C4×D4 | — | 5 | 1 | no | — |
| 625 | C4×D4 | — | 5 | 1 | no | — |
| 626 | C4×D4 | — | 5 | 1 | no | — |
| 627 | C4×D4 | — | 10 | 2 | no | — |
| 628 | C4×D4 | — | 10 | 2 | no | — |
| 629 | C4×D4 | — | 10 | 2 | no | — |
| 630 | C4×D4 | — | 10 | 2 | no | — |
| 631 | C4×D4 | — | 10 | 2 | no | — |
| 632 | C4×D4 | — | 10 | 2 | no | — |
| 633 | C4×D4 | — | 10 | 2 | no | — |
| 634 | C4×D4 | — | 10 | 1 | no | — |
| 635 | C4×D4 | — | 10 | 2 | no | — |
| 636 | C4×D4 | — | 10 | 1 | no | — |
| 637 | C4×D4 | — | 10 | 1 | no | — |
| 638 | C4×D4 | — | 10 | 1 | no | — |
| 639 | C4×D4 | — | 10 | 1 | no | — |
| 640 | #117 | — | 5 | 1 | no | — |
| 641 | #117 | — | 5 | 2 | no | — |
| 642 | #117 | — | 5 | 1 | no | — |
| 643 | #117 | — | 5 | 2 | no | — |
| 644 | #117 | — | 10 | 2 | no | — |
| 645 | #117 | — | 10 | 2 | no | — |
| 646 | #117 | — | 10 | 2 | no | — |
| 647 | #117 | — | 10 | 2 | no | — |
| 648 | #117 | — | 10 | 2 | no | — |
| 649 | #117 | — | 10 | 1 | no | — |
| 650 | #117 | — | 10 | 1 | no | — |
| 651 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 652 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 653 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 654 | C2×C4⋊C4 | — | 5 | 2 | no | — |
| 655 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 656 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 657 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 658 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 659 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 660 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 661 | C2×C42 | — | 2 | 1 | no | — |
| 662 | C2×C42 | — | 5 | 2 | no | — |
| 663 | C2×C42 | — | 10 | 2 | no | — |
| 664 | C2×C42 | — | 10 | 2 | no | — |
| 665 | C2×C42 | — | 10 | 1 | no | — |
| 666 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 667 | C4⋊C8 | — | 5 | 4 | no | — |
| 668 | C4⋊C8 | — | 5 | 4 | no | — |
| 669 | C4⋊C8 | — | 5 | 2 | no | — |
| 670 | C4⋊C8 | — | 5 | 2 | no | — |
| 671 | C4⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 672 | C4⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 673 | C4⋊C8 | C22×D5 | 1 | 2 | yes | — |
| 674 | #103 | — | 5 | 4 | no | — |
| 675 | #103 | — | 5 | 4 | no | — |
| 676 | #103 | — | 5 | 2 | no | — |
| 677 | #103 | — | 5 | 2 | no | — |
| 678 | #103 | — | 5 | 4 | no | — |
| 679 | #103 | C22×D5 | 1 | 4 | yes | — |
| 680 | #103 | C22×D5 | 1 | 4 | yes | — |
| 681 | #102 | — | 5 | 2 | no | — |
| 682 | #102 | — | 5 | 2 | no | — |
| 683 | #102 | — | 5 | 4 | no | — |
| 684 | C22×C5 | — | 2 | 1 | no | — |
| 685 | C22×C5 | — | 2 | 1 | no | — |
| 686 | C22×C5 | C2×#121 | 1 | 2 | yes | — |
| 687 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 688 | C2×D5 | — | 2 | 2 | no | — |
| 689 | C2×D5 | — | 2 | 2 | no | — |
| 690 | C2×D5 | — | 2 | 2 | no | — |
| 691 | C2×D5 | — | 4 | 1 | no | — |
| 692 | C2×D5 | — | 4 | 1 | no | — |
| 693 | C2×D5 | — | 4 | 2 | no | — |
| 694 | C2×D5 | — | 4 | 2 | no | — |
| 695 | C2×D5 | — | 4 | 2 | no | — |
| 696 | C2×D5 | C2×#121 | 1 | 4 | yes | — |
| 697 | C4×C5 | — | 2 | 1 | no | — |
| 698 | C4×C5 | — | 2 | 1 | no | — |
| 699 | C4×C5 | — | 2 | 4 | no | — |
| 700 | C4×C5 | — | 2 | 1 | no | — |
| 701 | C4×C5 | — | 4 | 2 | no | — |
| 702 | C4×C5 | — | 4 | 4 | no | — |
| 703 | C4×C5 | C2×#121 | 1 | 2 | yes | — |
| 704 | C4×C5 | #578 | 1 | 2 | yes | complemented |
| 705 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 706 | C4×C5 | C22×#41 | 1 | 1 | yes | characteristic |
| 707 | Dic5 | — | 2 | 2 | no | — |
| 708 | Dic5 | — | 2 | 2 | no | — |
| 709 | Dic5 | — | 2 | 2 | no | — |
| 710 | Dic5 | — | 4 | 1 | no | — |
| 711 | Dic5 | — | 4 | 2 | no | — |
| 712 | Dic5 | — | 4 | 1 | no | — |
| 713 | Dic5 | C2×#121 | 1 | 4 | yes | — |
| 714 | #41 | — | 5 | 4 | no | — |
| 715 | #41 | — | 5 | 4 | no | — |
| 716 | #41 | — | 5 | 8 | no | — |
| 717 | #41 | — | 5 | 4 | no | — |
| 718 | #41 | — | 10 | 16 | no | — |
| 719 | #41 | — | 10 | 4 | no | — |
| 720 | #41 | — | 10 | 8 | no | — |
| 721 | #41 | — | 10 | 8 | no | — |
| 722 | #41 | — | 10 | 8 | no | — |
| 723 | #41 | — | 10 | 2 | no | — |
| 724 | #41 | — | 10 | 4 | no | — |
| 725 | #41 | — | 10 | 4 | no | — |
| 726 | #41 | — | 20 | 16 | no | — |
| 727 | #41 | — | 20 | 8 | no | — |
| 728 | C2×Q8 | — | 2 | 1 | no | — |
| 729 | C2×Q8 | — | 2 | 2 | no | — |
| 730 | C2×Q8 | — | 2 | 2 | no | — |
| 731 | C2×Q8 | — | 2 | 4 | no | — |
| 732 | C2×Q8 | — | 2 | 4 | no | — |
| 733 | C2×Q8 | — | 5 | 1 | no | — |
| 734 | C2×Q8 | — | 5 | 8 | no | — |
| 735 | C2×Q8 | — | 5 | 1 | no | — |
| 736 | C2×Q8 | — | 5 | 2 | no | — |
| 737 | C2×Q8 | — | 10 | 2 | no | — |
| 738 | C2×Q8 | — | 10 | 4 | no | — |
| 739 | C2×Q8 | — | 10 | 4 | no | — |
| 740 | C2×Q8 | — | 10 | 8 | no | — |
| 741 | C2×Q8 | — | 10 | 8 | no | — |
| 742 | C2×Q8 | — | 10 | 8 | no | — |
| 743 | C2×Q8 | — | 20 | 8 | no | — |
| 744 | C2×Q8 | D4×D5 | 1 | 4 | yes | — |
| 745 | C2×Q8 | C23×D5 | 1 | 4 | yes | — |
| 746 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 747 | C2×D4 | — | 5 | 2 | no | — |
| 748 | C2×D4 | — | 5 | 1 | no | — |
| 749 | C2×D4 | — | 5 | 1 | no | — |
| 750 | C2×D4 | — | 5 | 2 | no | — |
| 751 | C2×D4 | — | 10 | 2 | no | — |
| 752 | C2×D4 | — | 10 | 4 | no | — |
| 753 | C2×D4 | — | 10 | 1 | no | — |
| 754 | C2×D4 | — | 10 | 2 | no | — |
| 755 | C2×D4 | — | 10 | 1 | no | — |
| 756 | C2×D4 | — | 10 | 1 | no | — |
| 757 | C22×C4 | — | 2 | 1 | no | — |
| 758 | C22×C4 | — | 2 | 2 | no | — |
| 759 | C22×C4 | — | 2 | 1 | no | — |
| 760 | C22×C4 | — | 5 | 2 | no | — |
| 761 | C22×C4 | — | 5 | 2 | no | — |
| 762 | C22×C4 | — | 5 | 2 | no | — |
| 763 | C22×C4 | — | 10 | 2 | no | — |
| 764 | C22×C4 | — | 10 | 4 | no | — |
| 765 | C22×C4 | — | 10 | 2 | no | — |
| 766 | C22×C4 | — | 10 | 2 | no | — |
| 767 | C22×C4 | — | 10 | 4 | no | — |
| 768 | C22×C4 | — | 10 | 2 | no | — |
| 769 | C22×C4 | — | 10 | 1 | no | — |
| 770 | C22×C4 | — | 10 | 1 | no | — |
| 771 | C22×C4 | — | 10 | 2 | no | — |
| 772 | C22×C4 | — | 10 | 1 | no | — |
| 773 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 774 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 775 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 776 | Q16 | — | 2 | 8 | no | — |
| 777 | Q16 | — | 2 | 8 | no | — |
| 778 | Q16 | — | 10 | 4 | no | — |
| 779 | Q16 | — | 10 | 8 | no | — |
| 780 | Q16 | — | 10 | 8 | no | — |
| 781 | SD16 | — | 10 | 4 | no | — |
| 782 | SD16 | — | 10 | 4 | no | — |
| 783 | SD16 | — | 10 | 8 | no | — |
| 784 | SD16 | — | 10 | 8 | no | — |
| 785 | D8 | — | 10 | 4 | no | — |
| 786 | M16 | — | 10 | 8 | no | — |
| 787 | M16 | — | 10 | 4 | no | — |
| 788 | C2×C8 | — | 2 | 4 | no | — |
| 789 | C2×C8 | — | 5 | 4 | no | — |
| 790 | C2×C8 | — | 10 | 8 | no | — |
| 791 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 792 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 793 | C4⋊C4 | — | 2 | 2 | no | — |
| 794 | C4⋊C4 | — | 2 | 2 | no | — |
| 795 | C4⋊C4 | — | 2 | 2 | no | — |
| 796 | C4⋊C4 | — | 2 | 2 | no | — |
| 797 | C4⋊C4 | — | 2 | 2 | no | — |
| 798 | C4⋊C4 | — | 2 | 2 | no | — |
| 799 | C4⋊C4 | — | 2 | 1 | no | — |
| 800 | C4⋊C4 | — | 5 | 2 | no | — |
| 801 | C4⋊C4 | — | 5 | 1 | no | — |
| 802 | C4⋊C4 | — | 5 | 2 | no | — |
| 803 | C4⋊C4 | — | 5 | 1 | no | — |
| 804 | C4⋊C4 | — | 5 | 1 | no | — |
| 805 | C4⋊C4 | — | 5 | 1 | no | — |
| 806 | C4⋊C4 | — | 10 | 2 | no | — |
| 807 | C4⋊C4 | — | 10 | 2 | no | — |
| 808 | C4⋊C4 | — | 10 | 2 | no | — |
| 809 | C4⋊C4 | — | 10 | 4 | no | — |
| 810 | C4⋊C4 | — | 10 | 4 | no | — |
| 811 | C4⋊C4 | — | 10 | 2 | no | — |
| 812 | C4⋊C4 | — | 10 | 1 | no | — |
| 813 | C4⋊C4 | — | 10 | 1 | no | — |
| 814 | C4⋊C4 | — | 10 | 1 | no | — |
| 815 | C4⋊C4 | — | 10 | 1 | no | — |
| 816 | C4⋊C4 | C23×D5 | 1 | 2 | yes | — |
| 817 | C22⋊C4 | — | 5 | 2 | no | — |
| 818 | C22⋊C4 | — | 5 | 2 | no | — |
| 819 | C22⋊C4 | — | 5 | 2 | no | — |
| 820 | C22⋊C4 | — | 10 | 2 | no | — |
| 821 | C22⋊C4 | — | 10 | 4 | no | — |
| 822 | C22⋊C4 | — | 10 | 4 | no | — |
| 823 | C22⋊C4 | — | 10 | 2 | no | — |
| 824 | C22⋊C4 | — | 10 | 1 | no | — |
| 825 | C22⋊C4 | — | 10 | 1 | no | — |
| 826 | C22⋊C4 | — | 10 | 1 | no | — |
| 827 | C22⋊C4 | — | 10 | 2 | no | — |
| 828 | C22⋊C4 | — | 10 | 2 | no | — |
| 829 | C42 | — | 2 | 2 | no | — |
| 830 | C42 | — | 2 | 2 | no | — |
| 831 | C42 | — | 5 | 2 | no | — |
| 832 | C42 | — | 5 | 2 | no | — |
| 833 | C42 | — | 5 | 2 | no | — |
| 834 | C42 | — | 10 | 2 | no | — |
| 835 | C42 | — | 10 | 2 | no | — |
| 836 | C42 | — | 10 | 2 | no | — |
| 837 | C42 | — | 10 | 2 | no | — |
| 838 | C42 | — | 10 | 1 | no | — |
| 839 | C42 | — | 10 | 1 | no | — |
| 840 | C42 | — | 10 | 1 | no | — |
| 841 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 842 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 843 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 844 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 845 | C2×C5 | — | 2 | 2 | no | — |
| 846 | C2×C5 | C22×#121 | 1 | 1 | yes | characteristic |
| 847 | C2×C5 | C2×#578 | 1 | 1 | yes | characteristic |
| 848 | C2×C5 | #3586 | 1 | 1 | yes | characteristic |
| 849 | D5 | — | 2 | 4 | no | — |
| 850 | D5 | — | 4 | 2 | no | — |
| 851 | D5 | — | 8 | 2 | no | — |
| 852 | C23 | — | 5 | 2 | no | — |
| 853 | C23 | — | 10 | 1 | no | — |
| 854 | C23 | — | 10 | 2 | no | — |
| 855 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 856 | Q8 | — | 2 | 4 | no | — |
| 857 | Q8 | — | 2 | 2 | no | — |
| 858 | Q8 | — | 2 | 4 | no | — |
| 859 | Q8 | — | 2 | 4 | no | — |
| 860 | Q8 | — | 4 | 4 | no | — |
| 861 | Q8 | — | 5 | 4 | no | — |
| 862 | Q8 | — | 5 | 2 | no | — |
| 863 | Q8 | — | 10 | 8 | no | — |
| 864 | Q8 | — | 10 | 1 | no | — |
| 865 | Q8 | — | 10 | 2 | no | — |
| 866 | Q8 | — | 10 | 2 | no | — |
| 867 | Q8 | — | 20 | 8 | no | — |
| 868 | Q8 | C2×D4×D5 | 1 | 4 | yes | — |
| 869 | D4 | — | 5 | 8 | no | — |
| 870 | D4 | — | 5 | 4 | no | — |
| 871 | D4 | — | 5 | 2 | no | — |
| 872 | D4 | — | 10 | 8 | no | — |
| 873 | D4 | — | 10 | 4 | no | — |
| 874 | D4 | — | 10 | 2 | no | — |
| 875 | D4 | — | 10 | 1 | no | — |
| 876 | D4 | — | 10 | 2 | no | — |
| 877 | D4 | — | 20 | 2 | no | — |
| 878 | D4 | — | 20 | 8 | no | — |
| 879 | D4 | — | 20 | 4 | no | — |
| 880 | D4 | — | 20 | 2 | no | — |
| 881 | C2×C4 | — | 2 | 4 | no | — |
| 882 | C2×C4 | — | 2 | 2 | no | — |
| 883 | C2×C4 | — | 2 | 2 | no | — |
| 884 | C2×C4 | — | 2 | 2 | no | — |
| 885 | C2×C4 | — | 2 | 4 | no | — |
| 886 | C2×C4 | — | 4 | 1 | no | — |
| 887 | C2×C4 | — | 4 | 4 | no | — |
| 888 | C2×C4 | — | 5 | 2 | no | — |
| 889 | C2×C4 | — | 5 | 4 | no | — |
| 890 | C2×C4 | — | 5 | 4 | no | — |
| 891 | C2×C4 | — | 5 | 2 | no | — |
| 892 | C2×C4 | — | 5 | 2 | no | — |
| 893 | C2×C4 | — | 8 | 1 | no | — |
| 894 | C2×C4 | — | 10 | 8 | no | — |
| 895 | C2×C4 | — | 10 | 8 | no | — |
| 896 | C2×C4 | — | 10 | 1 | no | — |
| 897 | C2×C4 | — | 10 | 4 | no | — |
| 898 | C2×C4 | — | 10 | 4 | no | — |
| 899 | C2×C4 | — | 10 | 1 | no | — |
| 900 | C2×C4 | — | 10 | 1 | no | — |
| 901 | C2×C4 | — | 10 | 2 | no | — |
| 902 | C2×C4 | — | 20 | 2 | no | — |
| 903 | C2×C4 | — | 20 | 8 | no | — |
| 904 | C2×C4 | — | 20 | 8 | no | — |
| 905 | C2×C4 | — | 20 | 2 | no | — |
| 906 | C2×C4 | — | 20 | 4 | no | — |
| 907 | C2×C4 | — | 40 | 1 | no | — |
| 908 | C2×C4 | — | 40 | 2 | no | — |
| 909 | C2×C4 | — | 40 | 2 | no | — |
| 910 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 911 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 912 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 913 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 914 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 915 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 916 | C2×C4 | D5×#41 | 1 | 2 | yes | — |
| 917 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 918 | C8 | — | 2 | 2 | no | — |
| 919 | C8 | — | 2 | 2 | no | — |
| 920 | C8 | — | 10 | 4 | no | — |
| 921 | C5 | #60432 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 922 | C22 | — | 2 | 1 | no | — |
| 923 | C22 | — | 2 | 1 | no | — |
| 924 | C22 | — | 5 | 4 | no | — |
| 925 | C22 | — | 10 | 2 | no | — |
| 926 | C22 | — | 10 | 2 | no | — |
| 927 | C22 | — | 10 | 2 | no | — |
| 928 | C22 | — | 20 | 1 | no | — |
| 929 | C22 | — | 20 | 1 | no | — |
| 930 | C22 | — | 20 | 2 | no | — |
| 931 | C22 | — | 20 | 2 | no | — |
| 932 | C22 | — | 20 | 2 | no | — |
| 933 | C22 | D5×#121 | 1 | 2 | yes | — |
| 934 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 935 | C4 | — | 2 | 1 | no | — |
| 936 | C4 | — | 2 | 1 | no | — |
| 937 | C4 | — | 2 | 1 | no | — |
| 938 | C4 | — | 2 | 4 | no | — |
| 939 | C4 | — | 4 | 2 | no | — |
| 940 | C4 | — | 4 | 4 | no | — |
| 941 | C4 | — | 5 | 4 | no | — |
| 942 | C4 | — | 10 | 2 | no | — |
| 943 | C4 | — | 10 | 2 | no | — |
| 944 | C4 | — | 10 | 2 | no | — |
| 945 | C4 | — | 20 | 1 | no | — |
| 946 | C4 | — | 20 | 1 | no | — |
| 947 | C4 | — | 20 | 2 | no | — |
| 948 | C4 | D5×#121 | 1 | 2 | yes | — |
| 949 | C4 | #66100 | 1 | 2 | yes | complemented |
| 950 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 951 | C4 | C2×D5×#41 | 1 | 1 | yes | characteristic |
| 952 | C2 | — | 2 | 2 | no | — |
| 953 | C2 | — | 10 | 4 | no | — |
| 954 | C2 | — | 20 | 2 | no | — |
| 955 | C2 | — | 40 | 2 | no | — |
| 956 | C2 | C2×D5×#121 | 1 | 1 | yes | characteristic |
| 957 | C2 | C2×#66100 | 1 | 1 | yes | characteristic |
| 958 | C2 | #10619098 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#66100 | C2 | semidirect |
| 2. #10618115 | C2 | semidirect |
| 3. C4×#4147 | C2 | semidirect |
| 4. C2×C5×#462 | C2 | semidirect |
| 5. #10615608 | C2 | semidirect |
| 6. #10614940 | C2 | semidirect |
| 7. #10614172 | C2 | semidirect |
| 8. #10612210 | C2 | semidirect |
| 9. #10612209 | C2 | semidirect |
| 10. #10612208 | C2 | semidirect |
| 11. #10612207 | C2 | semidirect |
| 12. #10612206 | C2 | semidirect |
| 13. D5×#462 | C2 | semidirect |
| 14. #10610752 | C2 | semidirect |
| 15. #10610743 | C2 | semidirect |
| 16. #10610546 | C2 | semidirect |
| 17. #10610521 | C2 | semidirect |
| 102. #4147 | D4 | semidirect |
| 257. C2×#462 | D5 | semidirect |
| 704. C4×C5 | #578 | semidirect |
| 921. C5 | #60432 | semidirect |
| 949. C4 | #66100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66100 | 2 |
| #10618115 | 2 |
| C4×#4147 | 2 |
| C2×C5×#462 | 2 |
| #10615608 | 2 |
| #10614940 | 2 |
| #10614172 | 2 |
| #10612210 | 2 |
| #10612209 | 2 |
| #10612208 | 2 |
| #10612207 | 2 |
| #10612206 | 2 |
| D5×#462 | 2 |
| #10610752 | 2 |
| #10610743 | 2 |
| #10610546 | 2 |
| #10610521 | 2 |
| #60432 | 5 |