Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1316 conjugacy classes of subgroups.
The subgroup lattice has 832 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13131615 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13131590 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13131466 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13130993 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13130991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13130873 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13130834 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13130722 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13130684 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13130614 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13129604 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #11719650 | C22 | 1 | 2 | yes | — |
| 13 | #41×#261 | C22 | 1 | 2 | yes | complemented |
| 14 | #11719629 | C22 | 1 | 2 | yes | complemented |
| 15 | C13×#576 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #11719541 | C4 | 1 | 2 | yes | complemented |
| 17 | #11719480 | — | 2 | 2 | no | — |
| 18 | #11719480 | C4 | 1 | 2 | yes | complemented |
| 19 | #11719478 | — | 2 | 2 | no | — |
| 20 | #11719478 | C22 | 1 | 2 | yes | — |
| 21 | #11719476 | — | 2 | 1 | no | — |
| 22 | #11719476 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | D13×#135 | — | 2 | 1 | no | — |
| 24 | D13×#135 | C22 | 1 | 1 | yes | characteristic |
| 25 | #11719462 | — | 2 | 1 | no | — |
| 26 | #11719462 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#88166 | — | 2 | 1 | no | — |
| 28 | C2×#88166 | C22 | 1 | 1 | yes | characteristic |
| 29 | #11719458 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | D13×#131 | C22 | 1 | 1 | yes | characteristic |
| 31 | #11719166 | — | 2 | 2 | no | — |
| 32 | #11719166 | C22 | 1 | 2 | yes | — |
| 33 | #11719166 | C22 | 1 | 2 | yes | complemented |
| 34 | #11719165 | C22 | 1 | 1 | yes | characteristic |
| 35 | #11719165 | C22 | 1 | 2 | yes | complemented |
| 36 | D13⋊#104 | — | 2 | 2 | no | — |
| 37 | D13⋊#104 | C22 | 1 | 1 | yes | characteristic |
| 38 | #11719147 | C22 | 1 | 2 | yes | complemented |
| 39 | #11719142 | C22 | 1 | 2 | yes | complemented |
| 40 | #11719140 | — | 2 | 2 | no | — |
| 41 | #11719140 | C22 | 1 | 2 | yes | complemented |
| 42 | C2×#88116 | — | 2 | 2 | no | — |
| 43 | C2×#88116 | C22 | 1 | 2 | yes | complemented |
| 44 | #11719112 | — | 2 | 1 | no | — |
| 45 | #11719110 | — | 2 | 1 | no | — |
| 46 | #11719107 | — | 2 | 2 | no | — |
| 47 | #11719106 | — | 2 | 2 | no | — |
| 48 | #11719104 | — | 2 | 1 | no | — |
| 49 | #11719102 | — | 2 | 1 | no | — |
| 50 | C2×#88103 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #11719092 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #11719089 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#88100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #11718274 | C22 | 1 | 2 | yes | complemented |
| 55 | #11718273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #11718272 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C13×H(5,𝔽2) | C2×C4 | 1 | 2 | yes | complemented |
| 58 | #88257 | — | 2 | 2 | no | — |
| 59 | #88257 | — | 2 | 2 | no | — |
| 60 | #88257 | C2×C4 | 1 | 2 | yes | complemented |
| 61 | #88257 | C2×C4 | 1 | 2 | yes | complemented |
| 62 | #41×D13 | — | 2 | 2 | no | — |
| 63 | #41×D13 | — | 2 | 2 | no | — |
| 64 | #41×D13 | C23 | 1 | 2 | yes | — |
| 65 | #41×D13 | C23 | 1 | 1 | yes | characteristic |
| 66 | #88251 | — | 2 | 2 | no | — |
| 67 | #88251 | — | 2 | 2 | no | — |
| 68 | #88251 | — | 4 | 2 | no | — |
| 69 | #88251 | C2×C4 | 1 | 2 | yes | complemented |
| 70 | C2×#6129 | — | 2 | 2 | no | — |
| 71 | C2×#6129 | — | 2 | 2 | no | — |
| 72 | C2×#6129 | — | 4 | 2 | no | — |
| 73 | C2×#6129 | C23 | 1 | 2 | yes | — |
| 74 | Q8×#261 | — | 2 | 2 | no | — |
| 75 | #88240 | — | 2 | 2 | no | — |
| 76 | D4×#261 | — | 2 | 2 | no | — |
| 77 | D4×#261 | — | 4 | 2 | no | — |
| 78 | #88238 | — | 2 | 2 | no | — |
| 79 | #88238 | — | 4 | 2 | no | — |
| 80 | #88237 | — | 2 | 2 | no | — |
| 81 | #88237 | C23 | 1 | 1 | yes | characteristic |
| 82 | #88237 | C23 | 1 | 2 | yes | — |
| 83 | C2×C4×#261 | — | 2 | 2 | no | — |
| 84 | C2×C4×#261 | C23 | 1 | 1 | yes | characteristic |
| 85 | D13⋊M16 | — | 2 | 2 | no | — |
| 86 | D13⋊M16 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#6118 | — | 2 | 2 | no | — |
| 88 | C2×#6118 | C23 | 1 | 2 | yes | — |
| 89 | C2×D13⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 90 | C13×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 91 | C13×AGL(1,ℤ/8) | C2×C4 | 1 | 2 | yes | complemented |
| 92 | C13×#135 | — | 2 | 1 | no | — |
| 93 | C13×#135 | C2×C4 | 1 | 1 | yes | characteristic |
| 94 | C2×C13×D8 | — | 2 | 1 | no | — |
| 95 | C2×C13×D8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 96 | C13×#131 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 97 | #88205 | — | 2 | 2 | no | — |
| 98 | #88205 | C2×C4 | 1 | 2 | yes | complemented |
| 99 | #88204 | — | 2 | 2 | no | — |
| 100 | #88204 | C2×C4 | 1 | 2 | yes | — |
| 101 | #88202 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 102 | C2×#6105 | — | 2 | 2 | no | — |
| 103 | C2×#6105 | C2×C4 | 1 | 2 | yes | complemented |
| 104 | #88186 | — | 2 | 2 | no | — |
| 105 | #88186 | C2×C4 | 1 | 2 | yes | complemented |
| 106 | #88173 | D4 | 1 | 1 | yes | characteristic |
| 107 | Q16×D13 | — | 2 | 1 | no | — |
| 108 | Q16×D13 | D4 | 1 | 1 | yes | characteristic |
| 109 | #88170 | — | 2 | 2 | no | — |
| 110 | #88170 | D4 | 1 | 2 | yes | — |
| 111 | #88169 | — | 2 | 2 | no | — |
| 112 | #88169 | — | 2 | 2 | no | — |
| 113 | #88169 | — | 2 | 2 | no | — |
| 114 | SD16×D13 | — | 2 | 2 | no | — |
| 115 | SD16×D13 | D4 | 1 | 2 | yes | — |
| 116 | #88166 | — | 2 | 2 | no | — |
| 117 | #88166 | — | 2 | 1 | no | — |
| 118 | #88166 | — | 2 | 2 | no | — |
| 119 | #88166 | — | 2 | 1 | no | — |
| 120 | #88166 | — | 2 | 1 | no | — |
| 121 | #88166 | — | 2 | 1 | no | — |
| 122 | #88166 | — | 2 | 1 | no | — |
| 123 | #88166 | — | 2 | 1 | no | — |
| 124 | #88166 | D4 | 1 | 1 | yes | characteristic |
| 125 | #88165 | — | 2 | 2 | no | — |
| 126 | #88165 | — | 2 | 2 | no | — |
| 127 | #88165 | — | 2 | 2 | no | — |
| 128 | D8×D13 | — | 2 | 1 | no | — |
| 129 | D8×D13 | D4 | 1 | 1 | yes | characteristic |
| 130 | #88163 | — | 2 | 2 | no | — |
| 131 | #88163 | C2×C4 | 1 | 2 | yes | complemented |
| 132 | #88161 | — | 2 | 1 | no | — |
| 133 | #88161 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 134 | M16×D13 | — | 2 | 1 | no | — |
| 135 | M16×D13 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×Dic52 | — | 2 | 1 | no | — |
| 137 | C2×Dic52 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 138 | #88158 | — | 2 | 1 | no | — |
| 139 | #88158 | C2×C4 | 1 | 1 | yes | characteristic |
| 140 | #88155 | — | 2 | 1 | no | — |
| 141 | #88155 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 142 | C2×C8×D13 | — | 2 | 1 | no | — |
| 143 | C2×C8×D13 | C23 | 1 | 1 | yes | characteristic |
| 144 | C22⋊#1057 | — | 4 | 2 | no | — |
| 145 | #88119 | — | 4 | 2 | no | — |
| 146 | #88118 | — | 2 | 2 | no | — |
| 147 | #88118 | — | 2 | 2 | no | — |
| 148 | #88118 | D4 | 1 | 2 | yes | — |
| 149 | #88117 | — | 2 | 2 | no | — |
| 150 | #88117 | — | 2 | 1 | no | — |
| 151 | #88116 | — | 2 | 2 | no | — |
| 152 | #88116 | — | 2 | 2 | no | — |
| 153 | #88116 | — | 2 | 2 | no | — |
| 154 | #88116 | — | 2 | 2 | no | — |
| 155 | #88116 | — | 2 | 2 | no | — |
| 156 | #88116 | — | 2 | 2 | no | — |
| 157 | #88116 | D4 | 1 | 2 | yes | — |
| 158 | #88115 | — | 2 | 2 | no | — |
| 159 | #88115 | — | 2 | 1 | no | — |
| 160 | #88103 | — | 2 | 1 | no | — |
| 161 | #88103 | — | 2 | 1 | no | — |
| 162 | #88102 | — | 2 | 1 | no | — |
| 163 | #88101 | — | 2 | 1 | no | — |
| 164 | #88100 | — | 2 | 1 | no | — |
| 165 | #88100 | — | 2 | 1 | no | — |
| 166 | #88100 | — | 2 | 1 | no | — |
| 167 | C8×#261 | — | 2 | 1 | no | — |
| 168 | #22461 | — | 13 | 1 | no | maximal, Sylow |
| 169 | C22×#261 | — | 2 | 1 | no | — |
| 170 | C22×#261 | — | 4 | 2 | no | — |
| 171 | C13×#41 | — | 2 | 2 | no | — |
| 172 | C13×#41 | — | 2 | 2 | no | — |
| 173 | C13×#41 | C22×C4 | 1 | 2 | yes | — |
| 174 | C13×#41 | C22×C4 | 1 | 1 | yes | characteristic |
| 175 | C2×D4×C13 | — | 2 | 2 | no | — |
| 176 | C2×D4×C13 | — | 2 | 2 | no | — |
| 177 | C2×D4×C13 | — | 4 | 2 | no | — |
| 178 | C2×D4×C13 | C22×C4 | 1 | 2 | yes | — |
| 179 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 180 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 181 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 182 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 183 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 184 | C22×Dic13 | — | 2 | 2 | no | — |
| 185 | C22×Dic13 | — | 4 | 2 | no | — |
| 186 | #6131 | C2×D4 | 1 | 2 | yes | — |
| 187 | #6131 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | Q8×D13 | — | 2 | 2 | no | — |
| 189 | Q8×D13 | — | 2 | 2 | no | — |
| 190 | Q8×D13 | C2×D4 | 1 | 2 | yes | — |
| 191 | Q8×D13 | #41 | 1 | 1 | yes | characteristic |
| 192 | #6129 | — | 2 | 2 | no | — |
| 193 | #6129 | — | 2 | 1 | no | — |
| 194 | #6129 | — | 2 | 2 | no | — |
| 195 | #6129 | — | 2 | 2 | no | — |
| 196 | #6129 | — | 2 | 2 | no | — |
| 197 | #6129 | — | 2 | 2 | no | — |
| 198 | #6129 | — | 2 | 2 | no | — |
| 199 | #6129 | — | 2 | 2 | no | — |
| 200 | #6129 | — | 2 | 2 | no | — |
| 201 | #6129 | — | 2 | 2 | no | — |
| 202 | #6129 | — | 4 | 2 | no | — |
| 203 | #6129 | — | 4 | 2 | no | — |
| 204 | #6129 | — | 4 | 2 | no | — |
| 205 | #6129 | — | 4 | 2 | no | — |
| 206 | #6129 | — | 4 | 2 | no | — |
| 207 | #6129 | — | 4 | 2 | no | — |
| 208 | #6129 | — | 4 | 2 | no | — |
| 209 | #6129 | — | 4 | 2 | no | — |
| 210 | #6129 | C2×D4 | 1 | 2 | yes | — |
| 211 | #6129 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | D4×D13 | — | 2 | 2 | no | — |
| 213 | D4×D13 | — | 2 | 1 | no | — |
| 214 | D4×D13 | — | 2 | 2 | no | — |
| 215 | D4×D13 | — | 2 | 2 | no | — |
| 216 | D4×D13 | — | 4 | 2 | no | — |
| 217 | D4×D13 | — | 4 | 2 | no | — |
| 218 | D4×D13 | C2×D4 | 1 | 2 | yes | — |
| 219 | D4×D13 | #41 | 1 | 1 | yes | characteristic |
| 220 | #6127 | — | 2 | 1 | no | — |
| 221 | #6127 | — | 2 | 2 | no | — |
| 222 | #6127 | — | 2 | 2 | no | — |
| 223 | #6127 | — | 2 | 2 | no | — |
| 224 | #6127 | — | 4 | 2 | no | — |
| 225 | #6127 | — | 4 | 2 | no | — |
| 226 | #6127 | C22×C4 | 1 | 2 | yes | — |
| 227 | #6127 | C22×C4 | 1 | 1 | yes | characteristic |
| 228 | C2×C4×D13 | — | 2 | 1 | no | — |
| 229 | C2×C4×D13 | — | 2 | 2 | no | — |
| 230 | C2×C4×D13 | — | 4 | 2 | no | — |
| 231 | C2×C4×D13 | C24 | 1 | 1 | yes | characteristic |
| 232 | C2×Dic26 | — | 2 | 2 | no | — |
| 233 | C2×Dic26 | — | 2 | 2 | no | — |
| 234 | C2×Dic26 | — | 4 | 2 | no | — |
| 235 | C2×Dic26 | C22×C4 | 1 | 2 | yes | — |
| 236 | C22⋊#261 | — | 2 | 1 | no | — |
| 237 | C22⋊#261 | — | 2 | 2 | no | — |
| 238 | C22⋊#261 | — | 4 | 2 | no | — |
| 239 | #6122 | — | 2 | 1 | no | — |
| 240 | #6122 | — | 4 | 2 | no | — |
| 241 | C2×#1057 | — | 2 | 1 | no | — |
| 242 | C2×#1057 | — | 2 | 2 | no | — |
| 243 | C2×#1057 | — | 4 | 2 | no | — |
| 244 | C4⋊#261 | — | 2 | 2 | no | — |
| 245 | C4⋊#261 | — | 2 | 1 | no | — |
| 246 | C4⋊#261 | — | 4 | 2 | no | — |
| 247 | C4×#261 | — | 2 | 1 | no | — |
| 248 | C4×#261 | — | 2 | 1 | no | — |
| 249 | C4×#261 | — | 2 | 2 | no | — |
| 250 | C4×#261 | — | 4 | 2 | no | — |
| 251 | C4×#261 | C2×D4 | 1 | 2 | yes | — |
| 252 | #6118 | — | 2 | 2 | no | — |
| 253 | #6118 | — | 2 | 2 | no | — |
| 254 | #6118 | — | 4 | 2 | no | — |
| 255 | #6118 | C2×D4 | 1 | 2 | yes | — |
| 256 | D13⋊C8 | — | 2 | 1 | no | — |
| 257 | D13⋊C8 | — | 2 | 1 | no | — |
| 258 | D13⋊C8 | — | 2 | 1 | no | — |
| 259 | D13⋊C8 | — | 4 | 2 | no | — |
| 260 | C13×Q16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 261 | C13×SD16 | — | 2 | 2 | no | — |
| 262 | C13×SD16 | C22⋊C4 | 1 | 2 | yes | — |
| 263 | C13×D8 | — | 2 | 2 | no | — |
| 264 | C13×D8 | — | 2 | 1 | no | — |
| 265 | C13×D8 | — | 2 | 1 | no | — |
| 266 | C13×D8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 267 | C13×M16 | — | 2 | 1 | no | — |
| 268 | C13×M16 | C22×C4 | 1 | 1 | yes | characteristic |
| 269 | C2×C8×C13 | — | 2 | 1 | no | — |
| 270 | C2×C8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 271 | #6107 | — | 2 | 2 | no | — |
| 272 | #6107 | C22⋊C4 | 1 | 2 | yes | — |
| 273 | #6106 | C22⋊C4 | 1 | 2 | yes | — |
| 274 | #6105 | — | 2 | 2 | no | — |
| 275 | #6105 | — | 2 | 2 | no | — |
| 276 | #6105 | — | 2 | 2 | no | — |
| 277 | #6105 | — | 2 | 2 | no | — |
| 278 | #6105 | C22⋊C4 | 1 | 2 | yes | — |
| 279 | #6104 | — | 2 | 2 | no | — |
| 280 | #6104 | C22⋊C4 | 1 | 2 | yes | — |
| 281 | #6099 | — | 2 | 1 | no | — |
| 282 | #6099 | C22×C4 | 1 | 1 | yes | characteristic |
| 283 | C2×#1055 | — | 2 | 1 | no | — |
| 284 | C2×#1055 | C22×C4 | 1 | 1 | yes | characteristic |
| 285 | Dic52 | — | 2 | 2 | no | — |
| 286 | Dic52 | — | 2 | 1 | no | — |
| 287 | Dic52 | — | 2 | 1 | no | — |
| 288 | Dic52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 289 | D104 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 290 | #6095 | — | 2 | 2 | no | — |
| 291 | #6095 | C22⋊C4 | 1 | 2 | yes | — |
| 292 | #6094 | — | 2 | 1 | no | — |
| 293 | #6094 | — | 2 | 1 | no | — |
| 294 | #6094 | — | 2 | 1 | no | — |
| 295 | C8×D13 | — | 2 | 1 | no | — |
| 296 | C8×D13 | — | 2 | 1 | no | — |
| 297 | C8×D13 | — | 2 | 1 | no | — |
| 298 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 299 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 300 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 301 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 302 | #3584 | — | 13 | 1 | no | — |
| 303 | #2957 | — | 13 | 1 | no | — |
| 304 | #2943 | — | 13 | 1 | no | — |
| 305 | #2901 | — | 13 | 2 | no | — |
| 306 | #1976 | — | 13 | 1 | no | — |
| 307 | #1975 | — | 13 | 1 | no | — |
| 308 | #1906 | — | 13 | 2 | no | — |
| 309 | #1881 | — | 13 | 2 | no | — |
| 310 | #1814 | — | 13 | 1 | no | — |
| 311 | #1794 | — | 13 | 2 | no | — |
| 312 | #1765 | — | 13 | 1 | no | — |
| 313 | C23×C13 | — | 2 | 2 | no | — |
| 314 | C23×C13 | — | 4 | 2 | no | — |
| 315 | C22×D13 | — | 2 | 2 | no | — |
| 316 | C22×D13 | — | 2 | 1 | no | — |
| 317 | C22×D13 | — | 4 | 2 | no | — |
| 318 | C22×D13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 319 | C2×#261 | — | 2 | 2 | no | — |
| 320 | C2×#261 | — | 4 | 2 | no | — |
| 321 | C2×#261 | — | 4 | 1 | no | — |
| 322 | C2×#261 | — | 8 | 1 | no | — |
| 323 | C2×#261 | — | 8 | 4 | no | — |
| 324 | Q8×C13 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 325 | Q8×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 326 | D4×C13 | — | 2 | 1 | no | — |
| 327 | D4×C13 | — | 2 | 2 | no | — |
| 328 | D4×C13 | — | 2 | 2 | no | — |
| 329 | D4×C13 | — | 2 | 2 | no | — |
| 330 | D4×C13 | — | 4 | 2 | no | — |
| 331 | D4×C13 | — | 4 | 2 | no | — |
| 332 | D4×C13 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 333 | D4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 334 | C2×C4×C13 | — | 2 | 1 | no | — |
| 335 | C2×C4×C13 | — | 2 | 2 | no | — |
| 336 | C2×C4×C13 | — | 4 | 2 | no | — |
| 337 | C2×C4×C13 | C23×C4 | 1 | 1 | yes | characteristic |
| 338 | C22⋊D13 | — | 2 | 1 | no | — |
| 339 | C22⋊D13 | — | 2 | 2 | no | — |
| 340 | C22⋊D13 | — | 2 | 1 | no | — |
| 341 | C22⋊D13 | — | 2 | 2 | no | — |
| 342 | C22⋊D13 | — | 2 | 2 | no | — |
| 343 | C22⋊D13 | — | 2 | 1 | no | — |
| 344 | C22⋊D13 | — | 4 | 2 | no | — |
| 345 | C22⋊D13 | — | 4 | 2 | no | — |
| 346 | C22⋊D13 | — | 4 | 2 | no | — |
| 347 | C22⋊D13 | — | 4 | 2 | no | — |
| 348 | C22⋊D13 | — | 4 | 2 | no | — |
| 349 | C22⋊D13 | — | 4 | 2 | no | — |
| 350 | C2×Dic13 | — | 2 | 2 | no | — |
| 351 | C2×Dic13 | — | 2 | 1 | no | — |
| 352 | C2×Dic13 | — | 2 | 2 | no | — |
| 353 | C2×Dic13 | — | 4 | 2 | no | — |
| 354 | C2×Dic13 | — | 4 | 2 | no | — |
| 355 | C2×Dic13 | — | 4 | 2 | no | — |
| 356 | C2×Dic13 | — | 4 | 2 | no | — |
| 357 | C2×Dic13 | — | 4 | 2 | no | — |
| 358 | C2×Dic13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 359 | D52 | — | 2 | 1 | no | — |
| 360 | D52 | — | 2 | 2 | no | — |
| 361 | D52 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 362 | D52 | C4×D4 | 1 | 1 | yes | characteristic |
| 363 | C4×D13 | — | 2 | 2 | no | — |
| 364 | C4×D13 | — | 2 | 1 | no | — |
| 365 | C4×D13 | — | 2 | 1 | no | — |
| 366 | C4×D13 | — | 2 | 2 | no | — |
| 367 | C4×D13 | — | 2 | 2 | no | — |
| 368 | C4×D13 | — | 2 | 1 | no | — |
| 369 | C4×D13 | — | 4 | 2 | no | — |
| 370 | C4×D13 | — | 4 | 2 | no | — |
| 371 | C4×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 372 | C4×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 373 | C4×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 374 | C4×D13 | C2×#41 | 1 | 1 | yes | characteristic |
| 375 | Dic26 | — | 2 | 1 | no | — |
| 376 | Dic26 | — | 2 | 2 | no | — |
| 377 | Dic26 | — | 2 | 2 | no | — |
| 378 | Dic26 | — | 2 | 2 | no | — |
| 379 | Dic26 | — | 4 | 2 | no | — |
| 380 | Dic26 | — | 4 | 2 | no | — |
| 381 | Dic26 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 382 | Dic26 | C4×D4 | 1 | 1 | yes | characteristic |
| 383 | #1057 | — | 2 | 2 | no | — |
| 384 | #1057 | — | 4 | 2 | no | — |
| 385 | #1057 | — | 4 | 1 | no | — |
| 386 | C8×C13 | — | 2 | 1 | no | — |
| 387 | C8×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 388 | C8×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 389 | #1055 | — | 2 | 1 | no | — |
| 390 | #1055 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 391 | #1055 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 392 | #585 | — | 13 | 2 | no | — |
| 393 | #578 | — | 13 | 1 | no | — |
| 394 | #578 | — | 13 | 1 | no | — |
| 395 | #578 | — | 26 | 1 | no | — |
| 396 | #577 | — | 13 | 2 | no | — |
| 397 | #577 | — | 13 | 2 | no | — |
| 398 | #577 | — | 26 | 2 | no | — |
| 399 | #576 | — | 13 | 1 | no | — |
| 400 | #576 | — | 26 | 1 | no | — |
| 401 | #576 | #261 | 1 | 1 | yes | characteristic, complemented |
| 402 | #575 | — | 13 | 2 | no | — |
| 403 | #575 | — | 26 | 2 | no | — |
| 404 | C2×#135 | — | 13 | 1 | no | — |
| 405 | C2×#135 | — | 13 | 1 | no | — |
| 406 | C2×#135 | — | 26 | 1 | no | — |
| 407 | C2×#135 | — | 26 | 1 | no | — |
| 408 | #568 | — | 13 | 2 | no | — |
| 409 | C2×#131 | — | 13 | 1 | no | — |
| 410 | C4×#41 | — | 13 | 2 | no | — |
| 411 | #444 | — | 26 | 1 | no | — |
| 412 | #444 | — | 26 | 1 | no | — |
| 413 | #443 | — | 26 | 2 | no | — |
| 414 | #442 | — | 26 | 1 | no | — |
| 415 | #441 | — | 26 | 1 | no | — |
| 416 | #440 | — | 26 | 2 | no | — |
| 417 | C2×#108 | — | 13 | 1 | no | — |
| 418 | #427 | — | 13 | 1 | no | — |
| 419 | #421 | — | 13 | 2 | no | — |
| 420 | #421 | — | 13 | 2 | no | — |
| 421 | #421 | — | 13 | 2 | no | — |
| 422 | #421 | — | 26 | 2 | no | — |
| 423 | #421 | — | 26 | 2 | no | — |
| 424 | C2×#104 | — | 13 | 1 | no | — |
| 425 | C2×#104 | — | 13 | 2 | no | — |
| 426 | C2×#104 | — | 26 | 2 | no | — |
| 427 | C2×#104 | — | 26 | 2 | no | — |
| 428 | #416 | — | 13 | 1 | no | — |
| 429 | #416 | — | 13 | 2 | no | — |
| 430 | #410 | — | 13 | 2 | no | — |
| 431 | #408 | — | 13 | 2 | no | — |
| 432 | #405 | — | 13 | 1 | no | — |
| 433 | C2×#97 | — | 13 | 1 | no | — |
| 434 | #344 | — | 13 | 2 | no | — |
| 435 | #341 | — | 13 | 1 | no | — |
| 436 | #339 | — | 13 | 1 | no | — |
| 437 | C22×C13 | — | 2 | 1 | no | — |
| 438 | C22×C13 | — | 2 | 2 | no | — |
| 439 | C22×C13 | — | 4 | 2 | no | — |
| 440 | C22×C13 | — | 8 | 2 | no | — |
| 441 | C22×C13 | — | 16 | 2 | no | — |
| 442 | C22×C13 | #518 | 1 | 1 | yes | characteristic |
| 443 | C2×D13 | — | 2 | 1 | no | — |
| 444 | C2×D13 | — | 2 | 2 | no | — |
| 445 | C2×D13 | — | 4 | 1 | no | — |
| 446 | C2×D13 | — | 8 | 2 | no | — |
| 447 | C2×D13 | — | 8 | 1 | no | — |
| 448 | C2×D13 | — | 16 | 2 | no | — |
| 449 | C2×D13 | D42 | 1 | 1 | yes | characteristic |
| 450 | C2×D13 | #546 | 1 | 1 | yes | characteristic |
| 451 | #261 | — | 4 | 2 | no | — |
| 452 | #261 | — | 8 | 1 | no | — |
| 453 | #261 | — | 8 | 2 | no | — |
| 454 | C4×C13 | — | 2 | 1 | no | — |
| 455 | C4×C13 | — | 2 | 2 | no | — |
| 456 | C4×C13 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 457 | C4×C13 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 458 | Dic13 | — | 2 | 1 | no | — |
| 459 | Dic13 | — | 2 | 2 | no | — |
| 460 | Dic13 | — | 4 | 2 | no | — |
| 461 | Dic13 | D42 | 1 | 1 | yes | characteristic |
| 462 | Dic13 | #546 | 1 | 1 | yes | characteristic |
| 463 | 2−1+4 | — | 13 | 2 | no | — |
| 464 | 2−1+4 | — | 13 | 2 | no | — |
| 465 | 2−1+4 | — | 26 | 2 | no | — |
| 466 | 2−1+4 | — | 26 | 2 | no | — |
| 467 | H(5,𝔽2) | — | 13 | 2 | no | — |
| 468 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 469 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 470 | H(5,𝔽2) | — | 52 | 2 | no | — |
| 471 | H(5,𝔽2) | C2×#261 | 1 | 2 | yes | complemented |
| 472 | C2×#41 | — | 13 | 2 | no | — |
| 473 | C2×#41 | — | 13 | 1 | no | — |
| 474 | C2×#41 | — | 13 | 2 | no | — |
| 475 | C2×#41 | — | 26 | 2 | no | — |
| 476 | C2×#41 | — | 26 | 2 | no | — |
| 477 | C2×#41 | — | 26 | 2 | no | — |
| 478 | C2×#41 | — | 26 | 2 | no | — |
| 479 | C2×#41 | — | 52 | 2 | no | — |
| 480 | #137 | — | 13 | 2 | no | — |
| 481 | #137 | — | 13 | 2 | no | — |
| 482 | #137 | — | 26 | 2 | no | — |
| 483 | #137 | — | 26 | 2 | no | — |
| 484 | #137 | — | 26 | 2 | no | — |
| 485 | #137 | — | 26 | 2 | no | — |
| 486 | #137 | — | 26 | 2 | no | — |
| 487 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 488 | AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 489 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 490 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 491 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 492 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 493 | AGL(1,ℤ/8) | C2×#261 | 1 | 2 | yes | complemented |
| 494 | #135 | — | 2 | 1 | no | — |
| 495 | #135 | — | 13 | 2 | no | — |
| 496 | #135 | — | 13 | 1 | no | — |
| 497 | #135 | — | 13 | 2 | no | — |
| 498 | #135 | — | 13 | 1 | no | — |
| 499 | #135 | — | 13 | 1 | no | — |
| 500 | #135 | — | 26 | 1 | no | — |
| 501 | #135 | — | 26 | 1 | no | — |
| 502 | #135 | — | 26 | 1 | no | — |
| 503 | #135 | — | 26 | 1 | no | — |
| 504 | #135 | — | 26 | 1 | no | — |
| 505 | #135 | — | 26 | 2 | no | — |
| 506 | #135 | — | 26 | 1 | no | — |
| 507 | #135 | — | 26 | 2 | no | — |
| 508 | #135 | — | 26 | 2 | no | — |
| 509 | #135 | — | 26 | 2 | no | — |
| 510 | #135 | — | 26 | 1 | no | — |
| 511 | #135 | C2×#261 | 1 | 1 | yes | characteristic |
| 512 | C2×Q16 | — | 13 | 1 | no | — |
| 513 | C2×Q16 | — | 13 | 1 | no | — |
| 514 | C2×Q16 | — | 26 | 1 | no | — |
| 515 | C2×Q16 | — | 26 | 1 | no | — |
| 516 | C2×SD16 | — | 13 | 2 | no | — |
| 517 | C2×SD16 | — | 13 | 2 | no | — |
| 518 | C2×SD16 | — | 26 | 2 | no | — |
| 519 | C2×SD16 | — | 26 | 2 | no | — |
| 520 | C2×D8 | — | 2 | 1 | no | — |
| 521 | C2×D8 | — | 13 | 1 | no | — |
| 522 | C2×D8 | — | 26 | 1 | no | — |
| 523 | C2×D8 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 524 | #131 | — | 13 | 1 | no | — |
| 525 | #131 | — | 13 | 1 | no | — |
| 526 | #131 | — | 13 | 1 | no | — |
| 527 | #131 | — | 26 | 1 | no | — |
| 528 | #131 | — | 26 | 1 | no | — |
| 529 | #131 | — | 26 | 2 | no | — |
| 530 | #131 | — | 26 | 2 | no | — |
| 531 | #131 | — | 52 | 2 | no | — |
| 532 | #131 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 533 | C2×M16 | — | 13 | 1 | no | — |
| 534 | C2×M16 | — | 13 | 1 | no | — |
| 535 | C2×M16 | — | 13 | 2 | no | — |
| 536 | C2×M16 | — | 26 | 1 | no | — |
| 537 | C2×M16 | — | 26 | 2 | no | — |
| 538 | C2×M16 | — | 26 | 2 | no | — |
| 539 | C22×C8 | — | 13 | 1 | no | — |
| 540 | C22×C8 | — | 13 | 1 | no | — |
| 541 | C22×C8 | — | 26 | 1 | no | — |
| 542 | C4×Q8 | — | 26 | 2 | no | — |
| 543 | C4×D4 | — | 26 | 2 | no | — |
| 544 | C4×D4 | — | 52 | 2 | no | — |
| 545 | #117 | — | 13 | 2 | no | — |
| 546 | #117 | — | 13 | 1 | no | — |
| 547 | #117 | — | 26 | 2 | no | — |
| 548 | C2×C42 | — | 13 | 1 | no | — |
| 549 | C2×C42 | — | 26 | 2 | no | — |
| 550 | #108 | — | 26 | 1 | no | — |
| 551 | #108 | — | 26 | 1 | no | — |
| 552 | #107 | — | 26 | 1 | no | — |
| 553 | #106 | — | 26 | 1 | no | — |
| 554 | #104 | — | 13 | 2 | no | — |
| 555 | #104 | — | 13 | 2 | no | — |
| 556 | #104 | — | 26 | 2 | no | — |
| 557 | #104 | — | 26 | 2 | no | — |
| 558 | #104 | — | 26 | 2 | no | — |
| 559 | #104 | — | 26 | 2 | no | — |
| 560 | #104 | — | 26 | 2 | no | — |
| 561 | #104 | — | 26 | 2 | no | — |
| 562 | #104 | — | 26 | 2 | no | — |
| 563 | #104 | — | 26 | 2 | no | — |
| 564 | #103 | — | 26 | 1 | no | — |
| 565 | #103 | — | 26 | 2 | no | — |
| 566 | #102 | — | 26 | 1 | no | — |
| 567 | #102 | — | 26 | 2 | no | — |
| 568 | #99 | — | 52 | 2 | no | — |
| 569 | C22⋊C8 | — | 52 | 2 | no | — |
| 570 | #97 | — | 26 | 1 | no | — |
| 571 | #97 | — | 26 | 1 | no | — |
| 572 | #97 | — | 26 | 1 | no | — |
| 573 | C4×C8 | — | 26 | 1 | no | — |
| 574 | C2×C13 | — | 2 | 1 | no | — |
| 575 | C2×C13 | — | 4 | 2 | no | — |
| 576 | C2×C13 | — | 4 | 1 | no | — |
| 577 | C2×C13 | — | 8 | 2 | no | — |
| 578 | C2×C13 | D4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 579 | D13 | — | 2 | 1 | no | — |
| 580 | D13 | — | 2 | 1 | no | — |
| 581 | D13 | — | 4 | 2 | no | — |
| 582 | D13 | — | 4 | 1 | no | — |
| 583 | #41 | — | 2 | 2 | no | — |
| 584 | #41 | — | 2 | 2 | no | — |
| 585 | #41 | — | 13 | 1 | no | — |
| 586 | #41 | — | 13 | 2 | no | — |
| 587 | #41 | — | 13 | 1 | no | — |
| 588 | #41 | — | 13 | 2 | no | — |
| 589 | #41 | — | 13 | 1 | no | — |
| 590 | #41 | — | 13 | 2 | no | — |
| 591 | #41 | — | 26 | 1 | no | — |
| 592 | #41 | — | 26 | 2 | no | — |
| 593 | #41 | — | 26 | 2 | no | — |
| 594 | #41 | — | 26 | 2 | no | — |
| 595 | #41 | — | 26 | 2 | no | — |
| 596 | #41 | — | 26 | 1 | no | — |
| 597 | #41 | — | 26 | 2 | no | — |
| 598 | #41 | — | 26 | 2 | no | — |
| 599 | #41 | — | 26 | 2 | no | — |
| 600 | #41 | — | 26 | 2 | no | — |
| 601 | #41 | — | 26 | 2 | no | — |
| 602 | #41 | — | 26 | 2 | no | — |
| 603 | #41 | — | 26 | 2 | no | — |
| 604 | #41 | — | 26 | 2 | no | — |
| 605 | #41 | — | 52 | 2 | no | — |
| 606 | #41 | — | 52 | 2 | no | — |
| 607 | #41 | — | 52 | 2 | no | — |
| 608 | #41 | — | 52 | 2 | no | — |
| 609 | #41 | — | 52 | 2 | no | — |
| 610 | #41 | — | 52 | 2 | no | — |
| 611 | #41 | — | 52 | 2 | no | — |
| 612 | #41 | — | 52 | 2 | no | — |
| 613 | #41 | — | 52 | 2 | no | — |
| 614 | #41 | — | 52 | 2 | no | — |
| 615 | #41 | C22×#261 | 1 | 1 | yes | characteristic |
| 616 | #41 | C22×#261 | 1 | 2 | yes | — |
| 617 | C2×Q8 | — | 13 | 1 | no | — |
| 618 | C2×Q8 | — | 13 | 2 | no | — |
| 619 | C2×Q8 | — | 13 | 2 | no | — |
| 620 | C2×Q8 | — | 26 | 2 | no | — |
| 621 | C2×Q8 | — | 26 | 2 | no | — |
| 622 | C2×Q8 | — | 26 | 2 | no | — |
| 623 | C2×Q8 | — | 26 | 2 | no | — |
| 624 | C2×Q8 | — | 52 | 2 | no | — |
| 625 | C2×D4 | — | 2 | 2 | no | — |
| 626 | C2×D4 | — | 2 | 2 | no | — |
| 627 | C2×D4 | — | 4 | 2 | no | — |
| 628 | C2×D4 | — | 13 | 1 | no | — |
| 629 | C2×D4 | — | 13 | 2 | no | — |
| 630 | C2×D4 | — | 26 | 2 | no | — |
| 631 | C2×D4 | — | 26 | 2 | no | — |
| 632 | C2×D4 | — | 26 | 2 | no | — |
| 633 | C2×D4 | — | 26 | 1 | no | — |
| 634 | C2×D4 | — | 26 | 2 | no | — |
| 635 | C2×D4 | — | 52 | 2 | no | — |
| 636 | C2×D4 | — | 52 | 2 | no | — |
| 637 | C2×D4 | — | 52 | 2 | no | — |
| 638 | C2×D4 | — | 52 | 2 | no | — |
| 639 | C2×D4 | — | 52 | 2 | no | — |
| 640 | C2×D4 | — | 52 | 2 | no | — |
| 641 | C2×D4 | C22×#261 | 1 | 2 | yes | — |
| 642 | C22×C4 | — | 13 | 1 | no | — |
| 643 | C22×C4 | — | 26 | 2 | no | — |
| 644 | C22×C4 | — | 26 | 1 | no | — |
| 645 | C22×C4 | — | 26 | 2 | no | — |
| 646 | C22×C4 | — | 26 | 1 | no | — |
| 647 | C22×C4 | — | 52 | 2 | no | — |
| 648 | C22×C4 | — | 52 | 2 | no | — |
| 649 | C22×C4 | — | 52 | 2 | no | — |
| 650 | Q16 | — | 13 | 2 | no | — |
| 651 | Q16 | — | 13 | 1 | no | — |
| 652 | Q16 | — | 26 | 2 | no | — |
| 653 | Q16 | — | 26 | 2 | no | — |
| 654 | Q16 | — | 26 | 1 | no | — |
| 655 | Q16 | — | 26 | 1 | no | — |
| 656 | Q16 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 657 | SD16 | — | 2 | 2 | no | — |
| 658 | SD16 | — | 13 | 2 | no | — |
| 659 | SD16 | — | 13 | 2 | no | — |
| 660 | SD16 | — | 13 | 2 | no | — |
| 661 | SD16 | — | 26 | 2 | no | — |
| 662 | SD16 | — | 26 | 2 | no | — |
| 663 | SD16 | — | 26 | 2 | no | — |
| 664 | SD16 | — | 26 | 2 | no | — |
| 665 | SD16 | — | 26 | 2 | no | — |
| 666 | SD16 | C22⋊#261 | 1 | 2 | yes | — |
| 667 | D8 | — | 2 | 2 | no | — |
| 668 | D8 | — | 2 | 1 | no | — |
| 669 | D8 | — | 2 | 1 | no | — |
| 670 | D8 | — | 13 | 2 | no | — |
| 671 | D8 | — | 13 | 1 | no | — |
| 672 | D8 | — | 26 | 2 | no | — |
| 673 | D8 | C22⋊#261 | 1 | 1 | yes | characteristic |
| 674 | M16 | — | 2 | 1 | no | — |
| 675 | M16 | — | 13 | 2 | no | — |
| 676 | M16 | — | 13 | 1 | no | — |
| 677 | M16 | — | 26 | 1 | no | — |
| 678 | M16 | — | 26 | 1 | no | — |
| 679 | M16 | — | 26 | 1 | no | — |
| 680 | M16 | — | 26 | 1 | no | — |
| 681 | M16 | — | 26 | 1 | no | — |
| 682 | M16 | — | 26 | 2 | no | — |
| 683 | M16 | — | 26 | 2 | no | — |
| 684 | M16 | — | 52 | 2 | no | — |
| 685 | M16 | — | 52 | 2 | no | — |
| 686 | M16 | C22×#261 | 1 | 1 | yes | characteristic |
| 687 | C2×C8 | — | 2 | 1 | no | — |
| 688 | C2×C8 | — | 13 | 1 | no | — |
| 689 | C2×C8 | — | 13 | 1 | no | — |
| 690 | C2×C8 | — | 13 | 1 | no | — |
| 691 | C2×C8 | — | 13 | 1 | no | — |
| 692 | C2×C8 | — | 13 | 1 | no | — |
| 693 | C2×C8 | — | 26 | 1 | no | — |
| 694 | C2×C8 | — | 26 | 1 | no | — |
| 695 | C2×C8 | — | 26 | 1 | no | — |
| 696 | C2×C8 | — | 26 | 1 | no | — |
| 697 | C2×C8 | — | 26 | 1 | no | — |
| 698 | C2×C8 | — | 26 | 1 | no | — |
| 699 | C2×C8 | — | 26 | 1 | no | — |
| 700 | C2×C8 | — | 26 | 2 | no | — |
| 701 | C2×C8 | — | 26 | 1 | no | — |
| 702 | C2×C8 | — | 52 | 2 | no | — |
| 703 | C2×C8 | — | 52 | 2 | no | — |
| 704 | C2×C8 | C22×#261 | 1 | 1 | yes | characteristic |
| 705 | C4⋊C4 | — | 26 | 2 | no | — |
| 706 | C4⋊C4 | — | 26 | 1 | no | — |
| 707 | C4⋊C4 | — | 52 | 2 | no | — |
| 708 | C22⋊C4 | — | 26 | 1 | no | — |
| 709 | C22⋊C4 | — | 26 | 2 | no | — |
| 710 | C22⋊C4 | — | 52 | 2 | no | — |
| 711 | C42 | — | 13 | 2 | no | — |
| 712 | C42 | — | 26 | 1 | no | — |
| 713 | C42 | — | 26 | 1 | no | — |
| 714 | C42 | — | 26 | 2 | no | — |
| 715 | C42 | — | 52 | 2 | no | — |
| 716 | C13 | #22461 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 717 | C23 | — | 2 | 2 | no | — |
| 718 | C23 | — | 4 | 2 | no | — |
| 719 | C23 | — | 13 | 1 | no | — |
| 720 | C23 | — | 26 | 2 | no | — |
| 721 | C23 | — | 26 | 1 | no | — |
| 722 | C23 | — | 52 | 2 | no | — |
| 723 | Q8 | — | 13 | 1 | no | — |
| 724 | Q8 | — | 13 | 2 | no | — |
| 725 | Q8 | — | 26 | 1 | no | — |
| 726 | Q8 | — | 26 | 2 | no | — |
| 727 | Q8 | — | 26 | 2 | no | — |
| 728 | Q8 | — | 26 | 2 | no | — |
| 729 | Q8 | — | 52 | 2 | no | — |
| 730 | Q8 | — | 52 | 2 | no | — |
| 731 | Q8 | D4×#261 | 1 | 1 | yes | characteristic |
| 732 | Q8 | C2×C22⋊#261 | 1 | 2 | yes | — |
| 733 | D4 | — | 2 | 1 | no | — |
| 734 | D4 | — | 2 | 2 | no | — |
| 735 | D4 | — | 2 | 2 | no | — |
| 736 | D4 | — | 2 | 2 | no | — |
| 737 | D4 | — | 4 | 2 | no | — |
| 738 | D4 | — | 4 | 2 | no | — |
| 739 | D4 | — | 13 | 1 | no | — |
| 740 | D4 | — | 13 | 2 | no | — |
| 741 | D4 | — | 26 | 1 | no | — |
| 742 | D4 | — | 26 | 2 | no | — |
| 743 | D4 | — | 26 | 1 | no | — |
| 744 | D4 | — | 26 | 2 | no | — |
| 745 | D4 | — | 26 | 1 | no | — |
| 746 | D4 | — | 26 | 2 | no | — |
| 747 | D4 | — | 26 | 1 | no | — |
| 748 | D4 | — | 26 | 2 | no | — |
| 749 | D4 | — | 52 | 2 | no | — |
| 750 | D4 | — | 52 | 2 | no | — |
| 751 | D4 | — | 52 | 2 | no | — |
| 752 | D4 | — | 52 | 2 | no | — |
| 753 | D4 | — | 52 | 2 | no | — |
| 754 | D4 | — | 52 | 2 | no | — |
| 755 | D4 | D4×#261 | 1 | 1 | yes | characteristic |
| 756 | D4 | C2×C22⋊#261 | 1 | 2 | yes | — |
| 757 | C2×C4 | — | 2 | 2 | no | — |
| 758 | C2×C4 | — | 2 | 1 | no | — |
| 759 | C2×C4 | — | 4 | 2 | no | — |
| 760 | C2×C4 | — | 13 | 1 | no | — |
| 761 | C2×C4 | — | 13 | 1 | no | — |
| 762 | C2×C4 | — | 13 | 1 | no | — |
| 763 | C2×C4 | — | 13 | 1 | no | — |
| 764 | C2×C4 | — | 13 | 1 | no | — |
| 765 | C2×C4 | — | 26 | 2 | no | — |
| 766 | C2×C4 | — | 26 | 1 | no | — |
| 767 | C2×C4 | — | 26 | 2 | no | — |
| 768 | C2×C4 | — | 26 | 1 | no | — |
| 769 | C2×C4 | — | 26 | 2 | no | — |
| 770 | C2×C4 | — | 26 | 1 | no | — |
| 771 | C2×C4 | — | 26 | 2 | no | — |
| 772 | C2×C4 | — | 26 | 1 | no | — |
| 773 | C2×C4 | — | 26 | 2 | no | — |
| 774 | C2×C4 | — | 26 | 2 | no | — |
| 775 | C2×C4 | — | 52 | 2 | no | — |
| 776 | C2×C4 | — | 52 | 2 | no | — |
| 777 | C2×C4 | — | 52 | 2 | no | — |
| 778 | C2×C4 | — | 52 | 2 | no | — |
| 779 | C2×C4 | — | 52 | 2 | no | — |
| 780 | C2×C4 | — | 52 | 2 | no | — |
| 781 | C2×C4 | — | 52 | 2 | no | — |
| 782 | C2×C4 | — | 52 | 2 | no | — |
| 783 | C2×C4 | — | 52 | 1 | no | — |
| 784 | C2×C4 | — | 104 | 1 | no | — |
| 785 | C2×C4 | — | 104 | 4 | no | — |
| 786 | C2×C4 | C23×#261 | 1 | 1 | yes | characteristic |
| 787 | C8 | — | 2 | 1 | no | — |
| 788 | C8 | — | 13 | 1 | no | — |
| 789 | C8 | — | 13 | 1 | no | — |
| 790 | C8 | — | 26 | 2 | no | — |
| 791 | C8 | — | 26 | 1 | no | — |
| 792 | C8 | — | 52 | 1 | no | — |
| 793 | C8 | — | 52 | 2 | no | — |
| 794 | C8 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 795 | C8 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 796 | C22 | — | 2 | 1 | no | — |
| 797 | C22 | — | 2 | 2 | no | — |
| 798 | C22 | — | 4 | 2 | no | — |
| 799 | C22 | — | 8 | 2 | no | — |
| 800 | C22 | — | 13 | 1 | no | — |
| 801 | C22 | — | 13 | 1 | no | — |
| 802 | C22 | — | 16 | 2 | no | — |
| 803 | C22 | — | 26 | 1 | no | — |
| 804 | C22 | — | 26 | 2 | no | — |
| 805 | C22 | — | 52 | 1 | no | — |
| 806 | C22 | — | 104 | 2 | no | — |
| 807 | C22 | — | 104 | 1 | no | — |
| 808 | C22 | — | 208 | 2 | no | — |
| 809 | C22 | #11719623 | 1 | 1 | yes | characteristic |
| 810 | C4 | — | 2 | 1 | no | — |
| 811 | C4 | — | 2 | 2 | no | — |
| 812 | C4 | — | 13 | 1 | no | — |
| 813 | C4 | — | 13 | 1 | no | — |
| 814 | C4 | — | 26 | 1 | no | — |
| 815 | C4 | — | 26 | 2 | no | — |
| 816 | C4 | — | 52 | 2 | no | — |
| 817 | C4 | — | 52 | 2 | no | — |
| 818 | C4 | — | 104 | 1 | no | — |
| 819 | C4 | — | 104 | 2 | no | — |
| 820 | C4 | C2×D4×#261 | 1 | 1 | yes | characteristic |
| 821 | C4 | C22×C22⋊#261 | 1 | 1 | yes | characteristic |
| 822 | C2 | — | 2 | 1 | no | — |
| 823 | C2 | — | 4 | 1 | no | — |
| 824 | C2 | — | 4 | 2 | no | — |
| 825 | C2 | — | 8 | 2 | no | — |
| 826 | C2 | — | 26 | 1 | no | — |
| 827 | C2 | — | 26 | 1 | no | — |
| 828 | C2 | — | 52 | 1 | no | — |
| 829 | C2 | — | 52 | 2 | no | — |
| 830 | C2 | D4×C22⋊#261 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131615 | C2 | semidirect |
| 2. #13131590 | C2 | semidirect |
| 3. #13131466 | C2 | semidirect |
| 4. #13130993 | C2 | semidirect |
| 5. #13130991 | C2 | semidirect |
| 6. #13130873 | C2 | semidirect |
| 7. #13130834 | C2 | semidirect |
| 8. #13130722 | C2 | semidirect |
| 9. #13130684 | C2 | semidirect |
| 10. #13130614 | C2 | semidirect |
| 13. #41×#261 | C22 | semidirect |
| 14. #11719629 | C22 | semidirect |
| 15. C13×#576 | C4 | semidirect |
| 16. #11719541 | C4 | semidirect |
| 18. #11719480 | C4 | semidirect |
| 22. #11719476 | C4 | semidirect |
| 26. #11719462 | C4 | semidirect |
| 29. #11719458 | C4 | semidirect |
| 33. #11719166 | C22 | semidirect |
| 35. #11719165 | C22 | semidirect |
| 38. #11719147 | C22 | semidirect |
| 39. #11719142 | C22 | semidirect |
| 41. #11719140 | C22 | semidirect |
| 43. C2×#88116 | C22 | semidirect |
| 50. C2×#88103 | C22 | semidirect |
| 51. #11719092 | C22 | semidirect |
| 52. #11719089 | C22 | semidirect |
| 53. C2×#88100 | C22 | semidirect |
| 54. #11718274 | C22 | semidirect |
| 55. #11718273 | C22 | semidirect |
| 56. #11718272 | C22 | semidirect |
| 57. C13×H(5,𝔽2) | C2×C4 | semidirect |
| 60. #88257 | C2×C4 | semidirect |
| 61. #88257 | C2×C4 | semidirect |
| 69. #88251 | C2×C4 | semidirect |
| 91. C13×AGL(1,ℤ/8) | C2×C4 | semidirect |
| 95. C2×C13×D8 | C2×C4 | semidirect |
| 96. C13×#131 | C2×C4 | semidirect |
| 98. #88205 | C2×C4 | semidirect |
| 101. #88202 | C2×C4 | semidirect |
| 103. C2×#6105 | C2×C4 | semidirect |
| 105. #88186 | C2×C4 | semidirect |
| 131. #88163 | C2×C4 | semidirect |
| 133. #88161 | C2×C4 | semidirect |
| 137. C2×Dic52 | C2×C4 | semidirect |
| 141. #88155 | C2×C4 | semidirect |
| 401. #576 | #261 | semidirect |
| 471. H(5,𝔽2) | C2×#261 | semidirect |
| 493. AGL(1,ℤ/8) | C2×#261 | semidirect |
| 523. C2×D8 | C2×#261 | semidirect |
| 532. #131 | C2×#261 | semidirect |
| 716. C13 | #22461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131615 | 2 |
| #13131590 | 2 |
| #13131466 | 2 |
| #13130993 | 2 |
| #13130991 | 2 |
| #13130873 | 2 |
| #13130834 | 2 |
| #13130722 | 2 |
| #13130684 | 2 |
| #13130614 | 2 |
| #13129604 | 2 |
| #22461 | 13 |