Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
7375 conjugacy classes of subgroups.
The subgroup lattice has 1089 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#60184 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #7622822 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#33471 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #6372968 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #495723 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #495721 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | C2×#13040 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #494474 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #494334 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #494263 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #493523 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #493085 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #492952 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×#3584 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#3573 | — | 2 | 1 | no | — |
| 16 | C22×#509 | C22 | 1 | 2 | yes | — |
| 17 | C2×#3058 | C22 | 1 | 1 | yes | characteristic |
| 18 | #60184 | — | 2 | 16 | no | — |
| 19 | C2×#2957 | C22 | 1 | 2 | yes | — |
| 20 | C2×#2957 | C22 | 1 | 4 | yes | complemented |
| 21 | C2×#2956 | — | 2 | 2 | no | — |
| 22 | C2×#2956 | — | 2 | 1 | no | — |
| 23 | C2×#2955 | — | 2 | 2 | no | — |
| 24 | C2×#2955 | — | 2 | 1 | no | — |
| 25 | C22×#444 | C22 | 1 | 2 | yes | — |
| 26 | C22×#444 | C22 | 1 | 4 | yes | complemented |
| 27 | C2×#2948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×#2916 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#2901 | — | 2 | 1 | no | — |
| 30 | C2×#2875 | C22 | 1 | 1 | yes | characteristic |
| 31 | #34269 | — | 2 | 1 | no | — |
| 32 | #33524 | C4 | 1 | 8 | yes | complemented |
| 33 | #33522 | C4 | 1 | 8 | yes | complemented |
| 34 | #33520 | C22 | 1 | 8 | yes | — |
| 35 | #33471 | — | 2 | 16 | no | — |
| 36 | C2×AGL(1,ℤ/16) | C22 | 1 | 16 | yes | complemented |
| 37 | C2×#2155 | C22 | 1 | 2 | yes | complemented |
| 38 | C22×#361 | C22 | 1 | 2 | yes | complemented |
| 39 | C2×#2145 | C22 | 1 | 2 | yes | — |
| 40 | C22×#360 | C22 | 1 | 2 | yes | — |
| 41 | #33380 | C22 | 1 | 2 | yes | — |
| 42 | #33333 | C22 | 1 | 1 | yes | characteristic |
| 43 | #33333 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#2110 | C22 | 1 | 2 | yes | complemented |
| 45 | #21536 | — | 2 | 2 | no | — |
| 46 | C4×#469 | — | 2 | 2 | no | — |
| 47 | #21529 | C22 | 1 | 4 | yes | complemented |
| 48 | #21526 | C22 | 1 | 4 | yes | complemented |
| 49 | C2×#1972 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #21154 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #21095 | — | 2 | 1 | no | — |
| 52 | #20975 | — | 2 | 1 | no | — |
| 53 | #20662 | C22 | 1 | 1 | yes | characteristic |
| 54 | #20454 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #20416 | — | 2 | 1 | no | — |
| 56 | #13040 | C22 | 1 | 8 | yes | complemented |
| 57 | #13040 | C22 | 1 | 8 | yes | complemented |
| 58 | #13004 | C22 | 1 | 8 | yes | complemented |
| 59 | #12955 | C22 | 1 | 8 | yes | complemented |
| 60 | #12955 | C22 | 1 | 8 | yes | complemented |
| 61 | #12928 | C22 | 1 | 8 | yes | complemented |
| 62 | #12735 | C22 | 1 | 8 | yes | complemented |
| 63 | #12650 | C22 | 1 | 16 | yes | complemented |
| 64 | #12606 | C22 | 1 | 4 | yes | complemented |
| 65 | #12605 | C22 | 1 | 4 | yes | complemented |
| 66 | #12569 | C22 | 1 | 2 | yes | complemented |
| 67 | C2×#1383 | C22 | 1 | 2 | yes | complemented |
| 68 | C2×#1375 | C22 | 1 | 2 | yes | complemented |
| 69 | C2×#585 | — | 2 | 1 | no | — |
| 70 | #3584 | — | 2 | 8 | no | — |
| 71 | #3584 | — | 2 | 8 | no | — |
| 72 | C2×#578 | C2×C4 | 1 | 4 | yes | complemented |
| 73 | C2×#577 | — | 2 | 4 | no | — |
| 74 | C2×#576 | C2×C4 | 1 | 4 | yes | complemented |
| 75 | C2×#575 | — | 2 | 2 | no | — |
| 76 | C2×#575 | — | 2 | 1 | no | — |
| 77 | C22×#135 | C23 | 1 | 4 | yes | — |
| 78 | C22×#135 | C23 | 1 | 2 | yes | — |
| 79 | C23×D8 | C23 | 1 | 1 | yes | characteristic |
| 80 | #3573 | — | 2 | 16 | no | — |
| 81 | #3573 | — | 4 | 8 | no | — |
| 82 | C2×#568 | — | 2 | 1 | no | — |
| 83 | C2×#568 | — | 2 | 2 | no | — |
| 84 | C2×#568 | — | 2 | 4 | no | — |
| 85 | C2×#568 | — | 4 | 4 | no | — |
| 86 | C22×#131 | — | 2 | 2 | no | — |
| 87 | C22×#131 | — | 2 | 4 | no | — |
| 88 | C22×#131 | — | 4 | 4 | no | — |
| 89 | C22×#131 | D4 | 1 | 1 | yes | characteristic |
| 90 | C22×#131 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×#535 | — | 2 | 1 | no | — |
| 92 | C2×#518 | — | 2 | 1 | no | — |
| 93 | C2×C4×#41 | D4 | 1 | 1 | yes | characteristic |
| 94 | C2×#509 | — | 2 | 8 | no | — |
| 95 | C2×#509 | — | 2 | 8 | no | — |
| 96 | C2×#509 | C2×C4 | 1 | 8 | yes | complemented |
| 97 | C2×#509 | C23 | 1 | 8 | yes | — |
| 98 | C22×SD32 | C2×C4 | 1 | 4 | yes | complemented |
| 99 | C22×D16 | C2×C4 | 1 | 4 | yes | complemented |
| 100 | C22×M32 | C23 | 1 | 2 | yes | — |
| 101 | C22×M32 | C23 | 1 | 2 | yes | — |
| 102 | #3058 | — | 2 | 4 | no | — |
| 103 | #3058 | C2×C4 | 1 | 8 | yes | — |
| 104 | C2×#469 | — | 2 | 2 | no | — |
| 105 | C2×#466 | C23 | 1 | 4 | yes | — |
| 106 | #2957 | — | 2 | 32 | no | — |
| 107 | #2957 | — | 2 | 8 | no | — |
| 108 | #2957 | D4 | 1 | 16 | yes | complemented |
| 109 | #2956 | — | 2 | 32 | no | — |
| 110 | #2956 | — | 2 | 16 | no | — |
| 111 | #2955 | — | 2 | 16 | no | — |
| 112 | #2955 | — | 2 | 32 | no | — |
| 113 | C2×#444 | — | 2 | 32 | no | — |
| 114 | C2×#444 | — | 2 | 8 | no | — |
| 115 | C2×#444 | — | 2 | 2 | no | — |
| 116 | C2×#444 | — | 2 | 2 | no | — |
| 117 | C2×#444 | — | 2 | 4 | no | — |
| 118 | C2×#444 | — | 2 | 4 | no | — |
| 119 | C2×#444 | — | 2 | 8 | no | — |
| 120 | C2×#444 | C23 | 1 | 4 | yes | — |
| 121 | C2×#444 | C23 | 1 | 4 | yes | — |
| 122 | C2×#444 | C23 | 1 | 8 | yes | — |
| 123 | C2×#443 | — | 2 | 4 | no | — |
| 124 | C2×#443 | — | 2 | 4 | no | — |
| 125 | C2×#443 | — | 2 | 4 | no | — |
| 126 | #2948 | — | 2 | 8 | no | — |
| 127 | C2×#442 | C23 | 1 | 4 | yes | — |
| 128 | C2×C4×D8 | — | 2 | 2 | no | — |
| 129 | #2916 | — | 2 | 8 | no | — |
| 130 | C2×#430 | — | 2 | 2 | no | — |
| 131 | C2×#430 | — | 2 | 1 | no | — |
| 132 | C22×#108 | C23 | 1 | 4 | yes | — |
| 133 | C22×#108 | C23 | 1 | 2 | yes | — |
| 134 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 135 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 136 | C22×#106 | C23 | 1 | 1 | yes | characteristic |
| 137 | #2901 | — | 2 | 16 | no | — |
| 138 | C2×#421 | — | 2 | 2 | no | — |
| 139 | C2×#421 | — | 2 | 4 | no | — |
| 140 | C22×#104 | — | 2 | 2 | no | — |
| 141 | C22×#104 | — | 2 | 4 | no | — |
| 142 | C2×#418 | — | 2 | 1 | no | — |
| 143 | C2×#418 | — | 2 | 1 | no | — |
| 144 | C22×#102 | — | 2 | 1 | no | — |
| 145 | #2875 | — | 2 | 8 | no | — |
| 146 | C2×#405 | D4 | 1 | 2 | yes | — |
| 147 | C2×#405 | D4 | 1 | 1 | yes | characteristic |
| 148 | C2×#405 | C23 | 1 | 2 | yes | — |
| 149 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×M16 | D4 | 1 | 2 | yes | — |
| 151 | C2×C4×M16 | D4 | 1 | 1 | yes | characteristic |
| 152 | C22×#97 | C23 | 1 | 1 | yes | characteristic |
| 153 | C22×#97 | C23 | 1 | 2 | yes | — |
| 154 | #2367 | — | 4 | 2 | no | — |
| 155 | #2366 | — | 4 | 2 | no | — |
| 156 | #2358 | — | 4 | 4 | no | — |
| 157 | #2324 | — | 2 | 4 | no | — |
| 158 | #2311 | — | 2 | 1 | no | — |
| 159 | C4×#121 | — | 2 | 4 | no | — |
| 160 | #2296 | — | 2 | 1 | no | — |
| 161 | C2×#390 | — | 2 | 1 | no | — |
| 162 | #2274 | — | 2 | 1 | no | — |
| 163 | #2186 | C2×C4 | 1 | 32 | yes | complemented |
| 164 | #2185 | C2×C4 | 1 | 16 | yes | complemented |
| 165 | #2184 | C2×C4 | 1 | 16 | yes | complemented |
| 166 | AGL(1,ℤ/16) | — | 2 | 64 | no | — |
| 167 | #2155 | — | 2 | 8 | no | — |
| 168 | C2×#365 | C23 | 1 | 8 | yes | — |
| 169 | C2×#361 | — | 2 | 8 | no | — |
| 170 | C2×#361 | C23 | 1 | 8 | yes | — |
| 171 | #2145 | — | 2 | 8 | no | — |
| 172 | C2×#360 | — | 2 | 8 | no | — |
| 173 | C2×#360 | C23 | 1 | 8 | yes | — |
| 174 | C2×#360 | C23 | 1 | 8 | yes | — |
| 175 | #2141 | C2×C4 | 1 | 4 | yes | complemented |
| 176 | #2140 | C2×C4 | 1 | 4 | yes | complemented |
| 177 | #2139 | C23 | 1 | 8 | yes | — |
| 178 | #2138 | C2×C4 | 1 | 8 | yes | complemented |
| 179 | #2113 | — | 2 | 4 | no | — |
| 180 | #2113 | C2×C4 | 1 | 8 | yes | complemented |
| 181 | #2112 | C23 | 1 | 4 | yes | — |
| 182 | #2112 | C23 | 1 | 4 | yes | — |
| 183 | #2110 | — | 2 | 8 | no | — |
| 184 | C2×#347 | C23 | 1 | 8 | yes | — |
| 185 | #1972 | — | 2 | 1 | no | — |
| 186 | #1972 | — | 2 | 1 | no | — |
| 187 | #1972 | C23 | 1 | 2 | yes | — |
| 188 | #1972 | C23 | 1 | 2 | yes | — |
| 189 | #1944 | — | 2 | 1 | no | — |
| 190 | #1944 | — | 2 | 1 | no | — |
| 191 | #1943 | C23 | 1 | 2 | yes | — |
| 192 | #1943 | C23 | 1 | 2 | yes | — |
| 193 | #1936 | — | 2 | 4 | no | — |
| 194 | #1934 | — | 2 | 4 | no | — |
| 195 | #1895 | — | 2 | 4 | no | — |
| 196 | #1893 | — | 2 | 4 | no | — |
| 197 | #1809 | — | 2 | 2 | no | — |
| 198 | #1807 | C23 | 1 | 4 | yes | — |
| 199 | #1776 | C23 | 1 | 4 | yes | — |
| 200 | C4×#106 | — | 2 | 2 | no | — |
| 201 | #1762 | — | 2 | 4 | no | — |
| 202 | C4×#102 | — | 2 | 4 | no | — |
| 203 | #1736 | — | 2 | 1 | no | — |
| 204 | #1736 | — | 2 | 1 | no | — |
| 205 | #1735 | — | 2 | 1 | no | — |
| 206 | #1387 | C23 | 1 | 8 | yes | — |
| 207 | #1383 | C23 | 1 | 8 | yes | — |
| 208 | #1375 | C23 | 1 | 4 | yes | — |
| 209 | #1375 | C23 | 1 | 4 | yes | — |
| 210 | #585 | — | 2 | 8 | no | — |
| 211 | #585 | — | 2 | 8 | no | — |
| 212 | #585 | — | 4 | 4 | no | — |
| 213 | #585 | — | 4 | 4 | no | — |
| 214 | C2×2−1+4 | — | 2 | 4 | no | — |
| 215 | C2×2−1+4 | — | 4 | 1 | no | — |
| 216 | C2×H(5,𝔽2) | — | 2 | 4 | no | — |
| 217 | C2×H(5,𝔽2) | — | 4 | 2 | no | — |
| 218 | C2×H(5,𝔽2) | — | 4 | 1 | no | — |
| 219 | C22×#41 | — | 2 | 4 | no | — |
| 220 | C22×#41 | — | 2 | 2 | no | — |
| 221 | C22×#41 | — | 4 | 4 | no | — |
| 222 | C22×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C23×D4 | — | 2 | 1 | no | — |
| 224 | #578 | — | 2 | 16 | no | — |
| 225 | #578 | — | 2 | 16 | no | — |
| 226 | #577 | — | 2 | 32 | no | — |
| 227 | #577 | — | 2 | 32 | no | — |
| 228 | #576 | — | 2 | 16 | no | — |
| 229 | #576 | — | 2 | 16 | no | — |
| 230 | #575 | — | 2 | 8 | no | — |
| 231 | #575 | — | 2 | 16 | no | — |
| 232 | #575 | — | 2 | 8 | no | — |
| 233 | #575 | — | 2 | 16 | no | — |
| 234 | C2×#137 | — | 2 | 4 | no | — |
| 235 | C2×#137 | — | 2 | 8 | no | — |
| 236 | C2×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 237 | C2×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 238 | C2×#135 | — | 2 | 16 | no | — |
| 239 | C2×#135 | — | 2 | 16 | no | — |
| 240 | C2×#135 | — | 2 | 4 | no | — |
| 241 | C2×#135 | — | 2 | 4 | no | — |
| 242 | C2×#135 | — | 2 | 2 | no | — |
| 243 | C2×#135 | — | 2 | 4 | no | — |
| 244 | C2×#135 | — | 2 | 4 | no | — |
| 245 | C2×#135 | — | 2 | 2 | no | — |
| 246 | C2×#135 | C22×C4 | 1 | 8 | yes | — |
| 247 | C2×#135 | C22×C4 | 1 | 4 | yes | — |
| 248 | C2×#135 | C2×D4 | 1 | 8 | yes | — |
| 249 | C2×#135 | #41 | 1 | 8 | yes | — |
| 250 | C2×#135 | C24 | 1 | 4 | yes | — |
| 251 | C22×Q16 | C22×C4 | 1 | 4 | yes | — |
| 252 | C22×Q16 | C22×C4 | 1 | 2 | yes | — |
| 253 | C22×SD16 | — | 2 | 4 | no | — |
| 254 | C22×SD16 | — | 2 | 2 | no | — |
| 255 | C22×D8 | — | 2 | 4 | no | — |
| 256 | C22×D8 | — | 2 | 1 | no | — |
| 257 | C22×D8 | — | 2 | 4 | no | — |
| 258 | C22×D8 | — | 2 | 2 | no | — |
| 259 | C22×D8 | C22×C4 | 1 | 4 | yes | — |
| 260 | C22×D8 | C22×C4 | 1 | 4 | yes | — |
| 261 | C22×D8 | C22×C4 | 1 | 2 | yes | — |
| 262 | C22×D8 | C24 | 1 | 2 | yes | — |
| 263 | #568 | — | 2 | 8 | no | — |
| 264 | #568 | — | 2 | 32 | no | — |
| 265 | #568 | — | 2 | 16 | no | — |
| 266 | #568 | — | 4 | 8 | no | — |
| 267 | #568 | — | 4 | 16 | no | — |
| 268 | #568 | — | 4 | 64 | no | — |
| 269 | #568 | — | 4 | 4 | no | — |
| 270 | C2×#131 | — | 2 | 4 | no | — |
| 271 | C2×#131 | — | 2 | 4 | no | — |
| 272 | C2×#131 | — | 2 | 4 | no | — |
| 273 | C2×#131 | — | 2 | 4 | no | — |
| 274 | C2×#131 | — | 2 | 4 | no | — |
| 275 | C2×#131 | — | 2 | 16 | no | — |
| 276 | C2×#131 | — | 2 | 32 | no | — |
| 277 | C2×#131 | — | 2 | 8 | no | — |
| 278 | C2×#131 | — | 2 | 4 | no | — |
| 279 | C2×#131 | — | 2 | 4 | no | — |
| 280 | C2×#131 | — | 4 | 2 | no | — |
| 281 | C2×#131 | — | 4 | 4 | no | — |
| 282 | C2×#131 | — | 4 | 2 | no | — |
| 283 | C2×#131 | — | 4 | 4 | no | — |
| 284 | C2×#131 | — | 4 | 16 | no | — |
| 285 | C2×#131 | — | 4 | 4 | no | — |
| 286 | C2×#131 | — | 4 | 8 | no | — |
| 287 | C2×#131 | — | 4 | 64 | no | — |
| 288 | C2×#131 | — | 4 | 4 | no | — |
| 289 | C2×#131 | — | 4 | 8 | no | — |
| 290 | C2×#131 | C22×C4 | 1 | 4 | yes | — |
| 291 | C2×#131 | #41 | 1 | 4 | yes | — |
| 292 | C22×M16 | — | 2 | 4 | no | — |
| 293 | C22×M16 | — | 2 | 2 | no | — |
| 294 | C22×M16 | — | 4 | 2 | no | — |
| 295 | C22×M16 | — | 4 | 4 | no | — |
| 296 | C22×M16 | — | 4 | 4 | no | — |
| 297 | C22×M16 | — | 4 | 8 | no | — |
| 298 | C22×M16 | C2×D4 | 1 | 2 | yes | — |
| 299 | C22×M16 | C2×D4 | 1 | 2 | yes | — |
| 300 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 301 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 302 | C23×C8 | — | 4 | 2 | no | — |
| 303 | C23×C8 | — | 4 | 4 | no | — |
| 304 | C23×C8 | C2×D4 | 1 | 2 | yes | — |
| 305 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 306 | C23×C8 | C24 | 1 | 2 | yes | — |
| 307 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 308 | #535 | — | 2 | 8 | no | — |
| 309 | #535 | — | 4 | 4 | no | — |
| 310 | C2×#127 | — | 4 | 1 | no | — |
| 311 | C2×#124 | — | 4 | 1 | no | — |
| 312 | C2×#121 | — | 2 | 4 | no | — |
| 313 | C2×#120 | — | 4 | 2 | no | — |
| 314 | #518 | — | 4 | 4 | no | — |
| 315 | #518 | — | 4 | 4 | no | — |
| 316 | C4×#41 | — | 2 | 4 | no | — |
| 317 | C4×#41 | — | 4 | 2 | no | — |
| 318 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 319 | C2×C4×D4 | — | 2 | 2 | no | — |
| 320 | C2×C4×D4 | — | 2 | 1 | no | — |
| 321 | C2×C4×D4 | — | 2 | 4 | no | — |
| 322 | C2×C4×D4 | — | 4 | 2 | no | — |
| 323 | C2×C4×D4 | — | 4 | 4 | no | — |
| 324 | C2×#117 | — | 2 | 1 | no | — |
| 325 | C2×#117 | — | 2 | 1 | no | — |
| 326 | C2×#117 | C2×D4 | 1 | 2 | yes | — |
| 327 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 328 | C22×C4⋊C4 | — | 2 | 1 | no | — |
| 329 | C22×C22⋊C4 | — | 4 | 2 | no | — |
| 330 | C22×C22⋊C4 | — | 4 | 2 | no | — |
| 331 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 332 | C22×C42 | C2×D4 | 1 | 2 | yes | — |
| 333 | #509 | — | 2 | 32 | no | — |
| 334 | #509 | — | 2 | 16 | no | — |
| 335 | #509 | — | 2 | 16 | no | — |
| 336 | C2×SD32 | — | 2 | 16 | no | — |
| 337 | C2×SD32 | C22×C4 | 1 | 16 | yes | — |
| 338 | C2×D16 | — | 2 | 16 | no | — |
| 339 | C2×D16 | C22×C4 | 1 | 16 | yes | — |
| 340 | C2×M32 | — | 2 | 4 | no | — |
| 341 | C2×M32 | — | 2 | 4 | no | — |
| 342 | C2×M32 | — | 2 | 2 | no | — |
| 343 | C2×M32 | — | 2 | 4 | no | — |
| 344 | C2×M32 | — | 2 | 4 | no | — |
| 345 | C2×M32 | C22×C4 | 1 | 4 | yes | — |
| 346 | C2×M32 | C24 | 1 | 4 | yes | — |
| 347 | C2×M32 | C24 | 1 | 4 | yes | — |
| 348 | C22×C16 | — | 2 | 2 | no | — |
| 349 | C22×C16 | C22×C4 | 1 | 4 | yes | — |
| 350 | #469 | — | 2 | 16 | no | — |
| 351 | #466 | — | 2 | 8 | no | — |
| 352 | #466 | C22×C4 | 1 | 16 | yes | — |
| 353 | #444 | — | 2 | 16 | no | — |
| 354 | #444 | — | 2 | 32 | no | — |
| 355 | #444 | — | 2 | 32 | no | — |
| 356 | #444 | — | 2 | 16 | no | — |
| 357 | #444 | — | 2 | 8 | no | — |
| 358 | #444 | — | 2 | 8 | no | — |
| 359 | #444 | — | 2 | 8 | no | — |
| 360 | #444 | — | 2 | 8 | no | — |
| 361 | #444 | — | 2 | 16 | no | — |
| 362 | #444 | C2×D4 | 1 | 32 | yes | — |
| 363 | #443 | — | 2 | 32 | no | — |
| 364 | #443 | — | 2 | 32 | no | — |
| 365 | #443 | — | 2 | 32 | no | — |
| 366 | #442 | — | 2 | 16 | no | — |
| 367 | C4×D8 | — | 4 | 8 | no | — |
| 368 | #430 | — | 2 | 8 | no | — |
| 369 | #430 | — | 2 | 16 | no | — |
| 370 | C2×#108 | — | 2 | 4 | no | — |
| 371 | C2×#108 | — | 2 | 2 | no | — |
| 372 | C2×#108 | — | 2 | 4 | no | — |
| 373 | C2×#108 | — | 2 | 16 | no | — |
| 374 | C2×#108 | C2×D4 | 1 | 8 | yes | — |
| 375 | C2×#108 | C24 | 1 | 4 | yes | — |
| 376 | #427 | — | 2 | 2 | no | — |
| 377 | #427 | — | 2 | 4 | no | — |
| 378 | #427 | C22×C4 | 1 | 4 | yes | — |
| 379 | C2×#107 | — | 2 | 1 | no | — |
| 380 | C2×#107 | C24 | 1 | 2 | yes | — |
| 381 | C2×#106 | — | 2 | 1 | no | — |
| 382 | C2×#106 | — | 2 | 4 | no | — |
| 383 | C2×#106 | — | 2 | 1 | no | — |
| 384 | C2×#106 | C24 | 1 | 2 | yes | — |
| 385 | C2×#106 | C24 | 1 | 2 | yes | — |
| 386 | #421 | — | 2 | 32 | no | — |
| 387 | #421 | — | 2 | 16 | no | — |
| 388 | C2×#104 | — | 2 | 16 | no | — |
| 389 | C2×#104 | — | 2 | 32 | no | — |
| 390 | C2×#104 | — | 2 | 4 | no | — |
| 391 | C2×#104 | — | 2 | 4 | no | — |
| 392 | C2×#104 | — | 2 | 8 | no | — |
| 393 | #418 | — | 2 | 8 | no | — |
| 394 | #418 | — | 4 | 4 | no | — |
| 395 | C2×#102 | — | 2 | 4 | no | — |
| 396 | C2×#102 | — | 2 | 2 | no | — |
| 397 | C2×#102 | — | 2 | 2 | no | — |
| 398 | C2×#102 | — | 2 | 4 | no | — |
| 399 | C2×#102 | — | 4 | 4 | no | — |
| 400 | #405 | — | 2 | 4 | no | — |
| 401 | #405 | — | 2 | 8 | no | — |
| 402 | #405 | — | 2 | 8 | no | — |
| 403 | #405 | C2×D4 | 1 | 8 | yes | — |
| 404 | C4×M16 | — | 2 | 4 | no | — |
| 405 | C4×M16 | — | 2 | 8 | no | — |
| 406 | C2×#97 | — | 2 | 4 | no | — |
| 407 | C2×#97 | — | 2 | 8 | no | — |
| 408 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 409 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 410 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 411 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 412 | C2×#97 | C24 | 1 | 1 | yes | characteristic |
| 413 | C2×#97 | C24 | 1 | 1 | yes | characteristic |
| 414 | C2×#97 | C24 | 1 | 2 | yes | — |
| 415 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 416 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 417 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 418 | #391 | — | 4 | 1 | no | — |
| 419 | #390 | — | 2 | 2 | no | — |
| 420 | #390 | — | 2 | 2 | no | — |
| 421 | #390 | — | 4 | 2 | no | — |
| 422 | #390 | — | 4 | 4 | no | — |
| 423 | #390 | — | 4 | 1 | no | — |
| 424 | #389 | — | 2 | 2 | no | — |
| 425 | #389 | — | 2 | 2 | no | — |
| 426 | #388 | — | 4 | 4 | no | — |
| 427 | #388 | — | 4 | 4 | no | — |
| 428 | #386 | — | 4 | 4 | no | — |
| 429 | #386 | — | 4 | 4 | no | — |
| 430 | #386 | — | 4 | 2 | no | — |
| 431 | #385 | — | 4 | 4 | no | — |
| 432 | #385 | — | 4 | 2 | no | — |
| 433 | #380 | — | 2 | 4 | no | — |
| 434 | C4×C4⋊C4 | — | 2 | 4 | no | — |
| 435 | C4×C4⋊C4 | — | 4 | 2 | no | — |
| 436 | C4×C4⋊C4 | — | 4 | 2 | no | — |
| 437 | C4×C22⋊C4 | — | 4 | 4 | no | — |
| 438 | C4×C22⋊C4 | — | 4 | 2 | no | — |
| 439 | #365 | — | 2 | 16 | no | — |
| 440 | #361 | — | 2 | 16 | no | — |
| 441 | #360 | — | 2 | 16 | no | — |
| 442 | #360 | — | 2 | 16 | no | — |
| 443 | #358 | C22×C4 | 1 | 16 | yes | — |
| 444 | #357 | C22×C4 | 1 | 16 | yes | — |
| 445 | C22⋊C16 | — | 2 | 8 | no | — |
| 446 | C22⋊C16 | C22×C4 | 1 | 16 | yes | — |
| 447 | #347 | — | 2 | 16 | no | — |
| 448 | #340 | — | 2 | 4 | no | — |
| 449 | #340 | — | 2 | 2 | no | — |
| 450 | #340 | — | 2 | 4 | no | — |
| 451 | #340 | — | 2 | 2 | no | — |
| 452 | C25 | — | 4 | 1 | no | — |
| 453 | 2−1+4 | — | 2 | 32 | no | — |
| 454 | 2−1+4 | — | 4 | 8 | no | — |
| 455 | 2−1+4 | — | 4 | 8 | no | — |
| 456 | 2−1+4 | — | 4 | 16 | no | — |
| 457 | H(5,𝔽2) | — | 2 | 32 | no | — |
| 458 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 459 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 460 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 461 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 462 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 463 | C2×#41 | — | 2 | 2 | no | — |
| 464 | C2×#41 | — | 2 | 2 | no | — |
| 465 | C2×#41 | — | 2 | 2 | no | — |
| 466 | C2×#41 | — | 2 | 2 | no | — |
| 467 | C2×#41 | — | 2 | 16 | no | — |
| 468 | C2×#41 | — | 2 | 16 | no | — |
| 469 | C2×#41 | — | 2 | 8 | no | — |
| 470 | C2×#41 | — | 2 | 4 | no | — |
| 471 | C2×#41 | — | 2 | 8 | no | — |
| 472 | C2×#41 | — | 2 | 8 | no | — |
| 473 | C2×#41 | — | 2 | 4 | no | — |
| 474 | C2×#41 | — | 4 | 8 | no | — |
| 475 | C2×#41 | — | 4 | 8 | no | — |
| 476 | C2×#41 | — | 4 | 32 | no | — |
| 477 | C2×#41 | — | 4 | 32 | no | — |
| 478 | C2×#41 | — | 4 | 4 | no | — |
| 479 | C2×#41 | — | 4 | 8 | no | — |
| 480 | C2×#41 | — | 4 | 4 | no | — |
| 481 | C2×#41 | — | 4 | 4 | no | — |
| 482 | C2×#41 | — | 4 | 2 | no | — |
| 483 | C2×#41 | — | 4 | 4 | no | — |
| 484 | C2×#41 | — | 4 | 4 | no | — |
| 485 | C2×#41 | — | 4 | 2 | no | — |
| 486 | C2×#41 | — | 4 | 4 | no | — |
| 487 | C2×#41 | C4×D4 | 1 | 4 | yes | — |
| 488 | C2×#41 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 489 | C22×Q8 | — | 2 | 4 | no | — |
| 490 | C22×Q8 | — | 2 | 2 | no | — |
| 491 | C22×Q8 | — | 4 | 4 | no | — |
| 492 | C22×Q8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 493 | C22×D4 | — | 2 | 4 | no | — |
| 494 | C22×D4 | — | 2 | 2 | no | — |
| 495 | C22×D4 | — | 2 | 4 | no | — |
| 496 | C22×D4 | — | 2 | 2 | no | — |
| 497 | C22×D4 | — | 4 | 4 | no | — |
| 498 | C22×D4 | — | 4 | 2 | no | — |
| 499 | C22×D4 | — | 4 | 8 | no | — |
| 500 | C22×D4 | — | 4 | 4 | no | — |
| 501 | C22×D4 | — | 4 | 4 | no | — |
| 502 | C22×D4 | — | 4 | 2 | no | — |
| 503 | C22×D4 | — | 4 | 2 | no | — |
| 504 | C22×D4 | — | 4 | 2 | no | — |
| 505 | C22×D4 | — | 4 | 1 | no | — |
| 506 | C22×D4 | — | 4 | 2 | no | — |
| 507 | C22×D4 | — | 4 | 2 | no | — |
| 508 | C22×D4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 509 | C22×D4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 510 | C23×C4 | — | 2 | 1 | no | — |
| 511 | C23×C4 | — | 2 | 2 | no | — |
| 512 | C23×C4 | — | 4 | 4 | no | — |
| 513 | C23×C4 | — | 4 | 4 | no | — |
| 514 | C23×C4 | — | 4 | 2 | no | — |
| 515 | C23×C4 | — | 4 | 1 | no | — |
| 516 | C23×C4 | C22×D4 | 1 | 2 | yes | — |
| 517 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 518 | #137 | — | 2 | 32 | no | — |
| 519 | #137 | — | 2 | 64 | no | — |
| 520 | AGL(1,ℤ/8) | — | 2 | 32 | no | — |
| 521 | AGL(1,ℤ/8) | — | 2 | 64 | no | — |
| 522 | #135 | — | 2 | 16 | no | — |
| 523 | #135 | — | 2 | 16 | no | — |
| 524 | #135 | — | 2 | 32 | no | — |
| 525 | #135 | — | 2 | 16 | no | — |
| 526 | #135 | — | 2 | 16 | no | — |
| 527 | #135 | — | 2 | 8 | no | — |
| 528 | #135 | — | 2 | 8 | no | — |
| 529 | #135 | — | 2 | 8 | no | — |
| 530 | #135 | — | 2 | 8 | no | — |
| 531 | #135 | — | 2 | 8 | no | — |
| 532 | #135 | — | 2 | 4 | no | — |
| 533 | #135 | — | 2 | 4 | no | — |
| 534 | #135 | C4×D4 | 1 | 16 | yes | complemented |
| 535 | #135 | C22×D4 | 1 | 8 | yes | — |
| 536 | #135 | C2×#41 | 1 | 8 | yes | — |
| 537 | C2×Q16 | — | 2 | 16 | no | — |
| 538 | C2×Q16 | — | 2 | 4 | no | — |
| 539 | C2×Q16 | — | 2 | 2 | no | — |
| 540 | C2×Q16 | — | 2 | 4 | no | — |
| 541 | C2×Q16 | C4×D4 | 1 | 8 | yes | complemented |
| 542 | C2×Q16 | C23×C4 | 1 | 4 | yes | — |
| 543 | C2×SD16 | — | 2 | 32 | no | — |
| 544 | C2×SD16 | — | 2 | 8 | no | — |
| 545 | C2×SD16 | — | 2 | 4 | no | — |
| 546 | C2×SD16 | — | 2 | 8 | no | — |
| 547 | C2×SD16 | — | 2 | 8 | no | — |
| 548 | C2×SD16 | — | 2 | 4 | no | — |
| 549 | C2×D8 | — | 2 | 16 | no | — |
| 550 | C2×D8 | — | 2 | 4 | no | — |
| 551 | C2×D8 | — | 2 | 2 | no | — |
| 552 | C2×D8 | — | 2 | 4 | no | — |
| 553 | C2×D8 | — | 2 | 8 | no | — |
| 554 | C2×D8 | — | 2 | 8 | no | — |
| 555 | C2×D8 | — | 2 | 4 | no | — |
| 556 | C2×D8 | — | 2 | 4 | no | — |
| 557 | C2×D8 | — | 2 | 4 | no | — |
| 558 | C2×D8 | — | 2 | 2 | no | — |
| 559 | C2×D8 | — | 4 | 2 | no | — |
| 560 | C2×D8 | — | 4 | 4 | no | — |
| 561 | C2×D8 | — | 4 | 4 | no | — |
| 562 | C2×D8 | — | 4 | 2 | no | — |
| 563 | C2×D8 | C4×D4 | 1 | 8 | yes | complemented |
| 564 | C2×D8 | C23×C4 | 1 | 4 | yes | — |
| 565 | C2×D8 | C23×C4 | 1 | 4 | yes | — |
| 566 | #131 | — | 2 | 32 | no | — |
| 567 | #131 | — | 2 | 8 | no | — |
| 568 | #131 | — | 2 | 8 | no | — |
| 569 | #131 | — | 2 | 8 | no | — |
| 570 | #131 | — | 2 | 8 | no | — |
| 571 | #131 | — | 2 | 16 | no | — |
| 572 | #131 | — | 2 | 16 | no | — |
| 573 | #131 | — | 2 | 32 | no | — |
| 574 | #131 | — | 4 | 32 | no | — |
| 575 | #131 | — | 4 | 16 | no | — |
| 576 | #131 | — | 4 | 32 | no | — |
| 577 | #131 | — | 4 | 16 | no | — |
| 578 | #131 | — | 4 | 16 | no | — |
| 579 | #131 | — | 4 | 64 | no | — |
| 580 | #131 | — | 4 | 32 | no | — |
| 581 | #131 | — | 4 | 32 | no | — |
| 582 | #131 | — | 4 | 8 | no | — |
| 583 | #131 | — | 4 | 8 | no | — |
| 584 | C2×M16 | — | 2 | 2 | no | — |
| 585 | C2×M16 | — | 2 | 2 | no | — |
| 586 | C2×M16 | — | 2 | 4 | no | — |
| 587 | C2×M16 | — | 2 | 2 | no | — |
| 588 | C2×M16 | — | 2 | 2 | no | — |
| 589 | C2×M16 | — | 2 | 4 | no | — |
| 590 | C2×M16 | — | 2 | 4 | no | — |
| 591 | C2×M16 | — | 2 | 4 | no | — |
| 592 | C2×M16 | — | 2 | 4 | no | — |
| 593 | C2×M16 | — | 2 | 16 | no | — |
| 594 | C2×M16 | — | 2 | 8 | no | — |
| 595 | C2×M16 | — | 2 | 4 | no | — |
| 596 | C2×M16 | — | 4 | 4 | no | — |
| 597 | C2×M16 | — | 4 | 8 | no | — |
| 598 | C2×M16 | — | 4 | 4 | no | — |
| 599 | C2×M16 | — | 4 | 32 | no | — |
| 600 | C2×M16 | — | 4 | 16 | no | — |
| 601 | C2×M16 | — | 4 | 64 | no | — |
| 602 | C2×M16 | — | 4 | 32 | no | — |
| 603 | C2×M16 | — | 4 | 8 | no | — |
| 604 | C2×M16 | — | 4 | 4 | no | — |
| 605 | C2×M16 | — | 4 | 2 | no | — |
| 606 | C2×M16 | — | 4 | 4 | no | — |
| 607 | C2×M16 | C4×D4 | 1 | 4 | yes | — |
| 608 | C2×M16 | C4×D4 | 1 | 8 | yes | — |
| 609 | C2×M16 | #120 | 1 | 4 | yes | — |
| 610 | C22×C8 | — | 2 | 2 | no | — |
| 611 | C22×C8 | — | 2 | 4 | no | — |
| 612 | C22×C8 | — | 2 | 2 | no | — |
| 613 | C22×C8 | — | 2 | 4 | no | — |
| 614 | C22×C8 | — | 2 | 4 | no | — |
| 615 | C22×C8 | — | 2 | 4 | no | — |
| 616 | C22×C8 | — | 2 | 4 | no | — |
| 617 | C22×C8 | — | 4 | 4 | no | — |
| 618 | C22×C8 | — | 4 | 8 | no | — |
| 619 | C22×C8 | — | 4 | 4 | no | — |
| 620 | C22×C8 | — | 4 | 32 | no | — |
| 621 | C22×C8 | — | 4 | 16 | no | — |
| 622 | C22×C8 | — | 4 | 4 | no | — |
| 623 | C22×C8 | — | 4 | 2 | no | — |
| 624 | C22×C8 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 625 | C22×C8 | C23×C4 | 1 | 4 | yes | — |
| 626 | C22×C8 | C23×C4 | 1 | 2 | yes | — |
| 627 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 628 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 629 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 630 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 631 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 632 | C22×C8 | C22×D4 | 1 | 4 | yes | — |
| 633 | C22×C8 | C2×#41 | 1 | 4 | yes | — |
| 634 | C22×C8 | C2×#41 | 1 | 4 | yes | — |
| 635 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 636 | C22×C8 | C25 | 1 | 1 | yes | characteristic |
| 637 | #127 | — | 4 | 8 | no | — |
| 638 | #124 | — | 4 | 8 | no | — |
| 639 | #121 | — | 2 | 16 | no | — |
| 640 | #121 | — | 4 | 8 | no | — |
| 641 | #120 | — | 4 | 16 | no | — |
| 642 | C4×Q8 | — | 4 | 4 | no | — |
| 643 | C4×D4 | — | 4 | 8 | no | — |
| 644 | C4×D4 | — | 4 | 8 | no | — |
| 645 | C4×D4 | — | 4 | 4 | no | — |
| 646 | C4×D4 | — | 4 | 8 | no | — |
| 647 | C4×D4 | — | 8 | 8 | no | — |
| 648 | C4×D4 | — | 16 | 8 | no | — |
| 649 | #117 | — | 2 | 2 | no | — |
| 650 | #117 | — | 2 | 4 | no | — |
| 651 | #117 | — | 2 | 4 | no | — |
| 652 | #117 | — | 4 | 2 | no | — |
| 653 | #117 | — | 4 | 2 | no | — |
| 654 | #117 | — | 4 | 2 | no | — |
| 655 | #117 | — | 4 | 2 | no | — |
| 656 | #117 | #120 | 1 | 4 | yes | — |
| 657 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 658 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 659 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 660 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 661 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 662 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 663 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 664 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 665 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 666 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 667 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 668 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 669 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 670 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 671 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 672 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 673 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 674 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 675 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 676 | C2×C22⋊C4 | — | 8 | 8 | no | — |
| 677 | C2×C22⋊C4 | — | 16 | 4 | no | — |
| 678 | C2×C42 | — | 2 | 2 | no | — |
| 679 | C2×C42 | — | 2 | 2 | no | — |
| 680 | C2×C42 | — | 2 | 4 | no | — |
| 681 | C2×C42 | — | 2 | 2 | no | — |
| 682 | C2×C42 | — | 2 | 1 | no | — |
| 683 | C2×C42 | — | 4 | 2 | no | — |
| 684 | C2×C42 | — | 4 | 1 | no | — |
| 685 | C2×C42 | — | 4 | 1 | no | — |
| 686 | C2×C42 | — | 4 | 4 | no | — |
| 687 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 688 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 689 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 690 | SD32 | — | 2 | 32 | no | — |
| 691 | D16 | — | 2 | 32 | no | — |
| 692 | M32 | — | 2 | 8 | no | — |
| 693 | M32 | — | 2 | 4 | no | — |
| 694 | M32 | — | 2 | 4 | no | — |
| 695 | M32 | — | 2 | 4 | no | — |
| 696 | M32 | — | 2 | 4 | no | — |
| 697 | M32 | — | 4 | 4 | no | — |
| 698 | C2×C16 | — | 2 | 8 | no | — |
| 699 | C2×C16 | — | 2 | 4 | no | — |
| 700 | C2×C16 | — | 4 | 4 | no | — |
| 701 | C2×C16 | C23×C4 | 1 | 8 | yes | — |
| 702 | #108 | — | 2 | 16 | no | — |
| 703 | #108 | — | 2 | 8 | no | — |
| 704 | #108 | — | 2 | 4 | no | — |
| 705 | #108 | C22×D4 | 1 | 8 | yes | — |
| 706 | #107 | — | 2 | 2 | no | — |
| 707 | #107 | — | 4 | 2 | no | — |
| 708 | #107 | C23×C4 | 1 | 4 | yes | — |
| 709 | #106 | — | 2 | 4 | no | — |
| 710 | #106 | — | 2 | 4 | no | — |
| 711 | #106 | — | 2 | 4 | no | — |
| 712 | #106 | — | 4 | 2 | no | — |
| 713 | #104 | — | 2 | 16 | no | — |
| 714 | #104 | — | 2 | 16 | no | — |
| 715 | #104 | — | 2 | 32 | no | — |
| 716 | #102 | — | 2 | 16 | no | — |
| 717 | #102 | — | 4 | 8 | no | — |
| 718 | #102 | — | 4 | 4 | no | — |
| 719 | #102 | — | 4 | 4 | no | — |
| 720 | #97 | — | 2 | 4 | no | — |
| 721 | #97 | — | 2 | 2 | no | — |
| 722 | #97 | — | 2 | 2 | no | — |
| 723 | #97 | — | 2 | 2 | no | — |
| 724 | #97 | — | 2 | 2 | no | — |
| 725 | #97 | — | 2 | 4 | no | — |
| 726 | #97 | C22×D4 | 1 | 8 | yes | — |
| 727 | C4×C8 | — | 2 | 4 | no | — |
| 728 | C4×C8 | — | 2 | 4 | no | — |
| 729 | C4×C8 | #120 | 1 | 8 | yes | — |
| 730 | #95 | — | 4 | 2 | no | — |
| 731 | #95 | — | 4 | 4 | no | — |
| 732 | #95 | — | 4 | 2 | no | — |
| 733 | #95 | — | 4 | 4 | no | — |
| 734 | C24 | — | 4 | 4 | no | — |
| 735 | C24 | — | 4 | 2 | no | — |
| 736 | C24 | — | 4 | 2 | no | — |
| 737 | C24 | — | 4 | 4 | no | — |
| 738 | C24 | — | 8 | 2 | no | — |
| 739 | C24 | — | 8 | 2 | no | — |
| 740 | C24 | — | 16 | 2 | no | — |
| 741 | C24 | — | 16 | 2 | no | — |
| 742 | C24 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 743 | C24 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 744 | #41 | — | 2 | 8 | no | — |
| 745 | #41 | — | 2 | 8 | no | — |
| 746 | #41 | — | 2 | 8 | no | — |
| 747 | #41 | — | 2 | 8 | no | — |
| 748 | #41 | — | 2 | 32 | no | — |
| 749 | #41 | — | 2 | 8 | no | — |
| 750 | #41 | — | 2 | 8 | no | — |
| 751 | #41 | — | 2 | 16 | no | — |
| 752 | #41 | — | 4 | 16 | no | — |
| 753 | #41 | — | 4 | 16 | no | — |
| 754 | #41 | — | 4 | 16 | no | — |
| 755 | #41 | — | 4 | 16 | no | — |
| 756 | #41 | — | 4 | 16 | no | — |
| 757 | #41 | — | 4 | 64 | no | — |
| 758 | #41 | — | 4 | 32 | no | — |
| 759 | #41 | — | 4 | 32 | no | — |
| 760 | #41 | — | 4 | 8 | no | — |
| 761 | #41 | — | 4 | 8 | no | — |
| 762 | #41 | — | 4 | 8 | no | — |
| 763 | #41 | — | 4 | 8 | no | — |
| 764 | #41 | — | 4 | 8 | no | — |
| 765 | #41 | — | 4 | 4 | no | — |
| 766 | #41 | — | 4 | 4 | no | — |
| 767 | C2×Q8 | — | 2 | 2 | no | — |
| 768 | C2×Q8 | — | 2 | 2 | no | — |
| 769 | C2×Q8 | — | 2 | 16 | no | — |
| 770 | C2×Q8 | — | 2 | 4 | no | — |
| 771 | C2×Q8 | — | 2 | 8 | no | — |
| 772 | C2×Q8 | — | 4 | 8 | no | — |
| 773 | C2×Q8 | — | 4 | 32 | no | — |
| 774 | C2×Q8 | — | 4 | 4 | no | — |
| 775 | C2×Q8 | — | 4 | 2 | no | — |
| 776 | C2×Q8 | — | 4 | 4 | no | — |
| 777 | C2×Q8 | #442 | 1 | 4 | yes | — |
| 778 | C2×D4 | — | 2 | 4 | no | — |
| 779 | C2×D4 | — | 2 | 4 | no | — |
| 780 | C2×D4 | — | 2 | 16 | no | — |
| 781 | C2×D4 | — | 2 | 2 | no | — |
| 782 | C2×D4 | — | 2 | 4 | no | — |
| 783 | C2×D4 | — | 2 | 4 | no | — |
| 784 | C2×D4 | — | 2 | 2 | no | — |
| 785 | C2×D4 | — | 2 | 8 | no | — |
| 786 | C2×D4 | — | 4 | 8 | no | — |
| 787 | C2×D4 | — | 4 | 64 | no | — |
| 788 | C2×D4 | — | 4 | 32 | no | — |
| 789 | C2×D4 | — | 4 | 16 | no | — |
| 790 | C2×D4 | — | 4 | 16 | no | — |
| 791 | C2×D4 | — | 4 | 8 | no | — |
| 792 | C2×D4 | — | 4 | 8 | no | — |
| 793 | C2×D4 | — | 4 | 4 | no | — |
| 794 | C2×D4 | — | 4 | 8 | no | — |
| 795 | C2×D4 | — | 4 | 4 | no | — |
| 796 | C2×D4 | — | 4 | 16 | no | — |
| 797 | C2×D4 | — | 4 | 2 | no | — |
| 798 | C2×D4 | — | 4 | 2 | no | — |
| 799 | C2×D4 | — | 4 | 4 | no | — |
| 800 | C2×D4 | — | 4 | 2 | no | — |
| 801 | C2×D4 | — | 4 | 4 | no | — |
| 802 | C2×D4 | — | 4 | 4 | no | — |
| 803 | C2×D4 | — | 4 | 8 | no | — |
| 804 | C2×D4 | — | 4 | 2 | no | — |
| 805 | C2×D4 | — | 4 | 2 | no | — |
| 806 | C2×D4 | — | 4 | 8 | no | — |
| 807 | C2×D4 | — | 4 | 2 | no | — |
| 808 | C2×D4 | — | 8 | 2 | no | — |
| 809 | C2×D4 | — | 8 | 4 | no | — |
| 810 | C2×D4 | — | 8 | 4 | no | — |
| 811 | C2×D4 | — | 8 | 2 | no | — |
| 812 | C2×D4 | — | 16 | 4 | no | — |
| 813 | C2×D4 | — | 16 | 4 | no | — |
| 814 | C2×D4 | #442 | 1 | 8 | yes | — |
| 815 | C2×D4 | #442 | 1 | 4 | yes | — |
| 816 | C22×C4 | — | 2 | 2 | no | — |
| 817 | C22×C4 | — | 2 | 2 | no | — |
| 818 | C22×C4 | — | 2 | 2 | no | — |
| 819 | C22×C4 | — | 2 | 2 | no | — |
| 820 | C22×C4 | — | 2 | 2 | no | — |
| 821 | C22×C4 | — | 2 | 1 | no | — |
| 822 | C22×C4 | — | 2 | 1 | no | — |
| 823 | C22×C4 | — | 4 | 16 | no | — |
| 824 | C22×C4 | — | 4 | 16 | no | — |
| 825 | C22×C4 | — | 4 | 4 | no | — |
| 826 | C22×C4 | — | 4 | 4 | no | — |
| 827 | C22×C4 | — | 4 | 2 | no | — |
| 828 | C22×C4 | — | 4 | 8 | no | — |
| 829 | C22×C4 | — | 4 | 8 | no | — |
| 830 | C22×C4 | — | 4 | 4 | no | — |
| 831 | C22×C4 | — | 4 | 8 | no | — |
| 832 | C22×C4 | — | 4 | 4 | no | — |
| 833 | C22×C4 | — | 4 | 2 | no | — |
| 834 | C22×C4 | — | 4 | 2 | no | — |
| 835 | C22×C4 | — | 4 | 2 | no | — |
| 836 | C22×C4 | — | 4 | 2 | no | — |
| 837 | C22×C4 | — | 8 | 8 | no | — |
| 838 | C22×C4 | — | 8 | 2 | no | — |
| 839 | C22×C4 | — | 8 | 4 | no | — |
| 840 | C22×C4 | — | 8 | 2 | no | — |
| 841 | C22×C4 | — | 16 | 4 | no | — |
| 842 | C22×C4 | — | 16 | 4 | no | — |
| 843 | C22×C4 | — | 16 | 2 | no | — |
| 844 | C22×C4 | C2×C4×D4 | 1 | 4 | yes | — |
| 845 | C22×C4 | C2×C4×D4 | 1 | 2 | yes | — |
| 846 | C22×C4 | C2×#120 | 1 | 2 | yes | — |
| 847 | C22×C4 | #525 | 1 | 2 | yes | — |
| 848 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 849 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 850 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 851 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 852 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 853 | C22×C4 | #575 | 1 | 2 | yes | — |
| 854 | C22×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 855 | Q16 | — | 2 | 16 | no | — |
| 856 | Q16 | — | 2 | 4 | no | — |
| 857 | Q16 | — | 2 | 8 | no | — |
| 858 | Q16 | C2×C4×D4 | 1 | 8 | yes | — |
| 859 | SD16 | — | 2 | 32 | no | — |
| 860 | SD16 | — | 2 | 8 | no | — |
| 861 | SD16 | — | 2 | 8 | no | — |
| 862 | SD16 | — | 2 | 16 | no | — |
| 863 | D8 | — | 2 | 16 | no | — |
| 864 | D8 | — | 2 | 4 | no | — |
| 865 | D8 | — | 2 | 8 | no | — |
| 866 | D8 | — | 2 | 8 | no | — |
| 867 | D8 | — | 4 | 4 | no | — |
| 868 | D8 | — | 4 | 8 | no | — |
| 869 | D8 | C2×C4×D4 | 1 | 8 | yes | — |
| 870 | M16 | — | 2 | 16 | no | — |
| 871 | M16 | — | 2 | 8 | no | — |
| 872 | M16 | — | 2 | 8 | no | — |
| 873 | M16 | — | 2 | 16 | no | — |
| 874 | M16 | — | 2 | 8 | no | — |
| 875 | M16 | — | 4 | 16 | no | — |
| 876 | M16 | — | 4 | 32 | no | — |
| 877 | M16 | — | 4 | 16 | no | — |
| 878 | M16 | — | 4 | 16 | no | — |
| 879 | M16 | — | 4 | 8 | no | — |
| 880 | M16 | — | 4 | 4 | no | — |
| 881 | C2×C8 | — | 2 | 16 | no | — |
| 882 | C2×C8 | — | 2 | 2 | no | — |
| 883 | C2×C8 | — | 2 | 1 | no | — |
| 884 | C2×C8 | — | 2 | 1 | no | — |
| 885 | C2×C8 | — | 2 | 2 | no | — |
| 886 | C2×C8 | — | 2 | 8 | no | — |
| 887 | C2×C8 | — | 2 | 1 | no | — |
| 888 | C2×C8 | — | 2 | 2 | no | — |
| 889 | C2×C8 | — | 2 | 1 | no | — |
| 890 | C2×C8 | — | 2 | 2 | no | — |
| 891 | C2×C8 | — | 2 | 8 | no | — |
| 892 | C2×C8 | — | 2 | 8 | no | — |
| 893 | C2×C8 | — | 4 | 16 | no | — |
| 894 | C2×C8 | — | 4 | 32 | no | — |
| 895 | C2×C8 | — | 4 | 16 | no | — |
| 896 | C2×C8 | — | 4 | 16 | no | — |
| 897 | C2×C8 | — | 4 | 8 | no | — |
| 898 | C2×C8 | — | 4 | 4 | no | — |
| 899 | C2×C8 | C2×C4×D4 | 1 | 4 | yes | — |
| 900 | C2×C8 | C2×C4×D4 | 1 | 4 | yes | — |
| 901 | C2×C8 | C2×C4×D4 | 1 | 4 | yes | — |
| 902 | C2×C8 | C2×C4×D4 | 1 | 2 | yes | — |
| 903 | C2×C8 | C2×#120 | 1 | 4 | yes | — |
| 904 | C2×C8 | C2×#120 | 1 | 2 | yes | — |
| 905 | C2×C8 | #525 | 1 | 4 | yes | — |
| 906 | C2×C8 | #525 | 1 | 4 | yes | — |
| 907 | C2×C8 | #525 | 1 | 2 | yes | — |
| 908 | C2×C8 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 909 | C2×C8 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 910 | C2×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 911 | C2×C8 | C23×D4 | 1 | 2 | yes | — |
| 912 | C2×C8 | C22×#41 | 1 | 2 | yes | — |
| 913 | C2×C8 | C22×#41 | 1 | 1 | yes | characteristic |
| 914 | C4⋊C4 | — | 2 | 4 | no | — |
| 915 | C4⋊C4 | — | 2 | 4 | no | — |
| 916 | C4⋊C4 | — | 4 | 4 | no | — |
| 917 | C4⋊C4 | — | 4 | 2 | no | — |
| 918 | C4⋊C4 | — | 4 | 2 | no | — |
| 919 | C4⋊C4 | — | 4 | 2 | no | — |
| 920 | C4⋊C4 | — | 4 | 2 | no | — |
| 921 | C4⋊C4 | — | 4 | 2 | no | — |
| 922 | C4⋊C4 | — | 8 | 4 | no | — |
| 923 | C4⋊C4 | — | 8 | 2 | no | — |
| 924 | C4⋊C4 | — | 16 | 2 | no | — |
| 925 | C22⋊C4 | — | 2 | 4 | no | — |
| 926 | C22⋊C4 | — | 4 | 4 | no | — |
| 927 | C22⋊C4 | — | 4 | 4 | no | — |
| 928 | C22⋊C4 | — | 4 | 16 | no | — |
| 929 | C22⋊C4 | — | 8 | 8 | no | — |
| 930 | C22⋊C4 | — | 8 | 8 | no | — |
| 931 | C22⋊C4 | — | 8 | 2 | no | — |
| 932 | C22⋊C4 | — | 16 | 4 | no | — |
| 933 | C22⋊C4 | — | 16 | 4 | no | — |
| 934 | C42 | — | 2 | 2 | no | — |
| 935 | C42 | — | 2 | 1 | no | — |
| 936 | C42 | — | 2 | 1 | no | — |
| 937 | C42 | — | 2 | 1 | no | — |
| 938 | C42 | — | 2 | 1 | no | — |
| 939 | C42 | — | 4 | 4 | no | — |
| 940 | C42 | — | 4 | 4 | no | — |
| 941 | C42 | — | 4 | 2 | no | — |
| 942 | C42 | — | 8 | 2 | no | — |
| 943 | C42 | — | 16 | 4 | no | — |
| 944 | C42 | C2×#120 | 1 | 4 | yes | — |
| 945 | C16 | — | 2 | 8 | no | — |
| 946 | C16 | — | 4 | 4 | no | — |
| 947 | C23 | — | 2 | 2 | no | — |
| 948 | C23 | — | 2 | 2 | no | — |
| 949 | C23 | — | 4 | 2 | no | — |
| 950 | C23 | — | 4 | 4 | no | — |
| 951 | C23 | — | 4 | 16 | no | — |
| 952 | C23 | — | 4 | 4 | no | — |
| 953 | C23 | — | 4 | 8 | no | — |
| 954 | C23 | — | 4 | 4 | no | — |
| 955 | C23 | — | 8 | 4 | no | — |
| 956 | C23 | — | 8 | 4 | no | — |
| 957 | C23 | — | 8 | 2 | no | — |
| 958 | C23 | — | 8 | 2 | no | — |
| 959 | C23 | — | 8 | 8 | no | — |
| 960 | C23 | — | 16 | 4 | no | — |
| 961 | C23 | — | 16 | 8 | no | — |
| 962 | C23 | — | 16 | 8 | no | — |
| 963 | C23 | — | 32 | 4 | no | — |
| 964 | C23 | — | 32 | 2 | no | — |
| 965 | C23 | — | 32 | 2 | no | — |
| 966 | C23 | C2×#442 | 1 | 4 | yes | — |
| 967 | C23 | C2×#442 | 1 | 2 | yes | — |
| 968 | C23 | #3006 | 1 | 2 | yes | — |
| 969 | C23 | #3109 | 1 | 2 | yes | — |
| 970 | C23 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 971 | Q8 | — | 2 | 8 | no | — |
| 972 | Q8 | — | 2 | 8 | no | — |
| 973 | Q8 | — | 4 | 16 | no | — |
| 974 | Q8 | — | 4 | 8 | no | — |
| 975 | Q8 | — | 4 | 4 | no | — |
| 976 | D4 | — | 2 | 16 | no | — |
| 977 | D4 | — | 2 | 8 | no | — |
| 978 | D4 | — | 2 | 8 | no | — |
| 979 | D4 | — | 4 | 16 | no | — |
| 980 | D4 | — | 4 | 32 | no | — |
| 981 | D4 | — | 4 | 8 | no | — |
| 982 | D4 | — | 4 | 8 | no | — |
| 983 | D4 | — | 4 | 16 | no | — |
| 984 | D4 | — | 4 | 8 | no | — |
| 985 | D4 | — | 4 | 4 | no | — |
| 986 | D4 | — | 4 | 4 | no | — |
| 987 | D4 | — | 4 | 4 | no | — |
| 988 | D4 | — | 8 | 2 | no | — |
| 989 | D4 | — | 8 | 2 | no | — |
| 990 | D4 | — | 8 | 8 | no | — |
| 991 | D4 | — | 16 | 16 | no | — |
| 992 | C2×C4 | — | 2 | 2 | no | — |
| 993 | C2×C4 | — | 2 | 2 | no | — |
| 994 | C2×C4 | — | 2 | 4 | no | — |
| 995 | C2×C4 | — | 2 | 4 | no | — |
| 996 | C2×C4 | — | 2 | 4 | no | — |
| 997 | C2×C4 | — | 2 | 4 | no | — |
| 998 | C2×C4 | — | 2 | 4 | no | — |
| 999 | C2×C4 | — | 4 | 32 | no | — |
| 1000 | C2×C4 | — | 4 | 4 | no | — |
| 1001 | C2×C4 | — | 4 | 16 | no | — |
| 1002 | C2×C4 | — | 4 | 8 | no | — |
| 1003 | C2×C4 | — | 4 | 4 | no | — |
| 1004 | C2×C4 | — | 4 | 8 | no | — |
| 1005 | C2×C4 | — | 4 | 8 | no | — |
| 1006 | C2×C4 | — | 4 | 16 | no | — |
| 1007 | C2×C4 | — | 4 | 2 | no | — |
| 1008 | C2×C4 | — | 4 | 2 | no | — |
| 1009 | C2×C4 | — | 4 | 1 | no | — |
| 1010 | C2×C4 | — | 4 | 1 | no | — |
| 1011 | C2×C4 | — | 4 | 4 | no | — |
| 1012 | C2×C4 | — | 8 | 2 | no | — |
| 1013 | C2×C4 | — | 8 | 2 | no | — |
| 1014 | C2×C4 | — | 8 | 4 | no | — |
| 1015 | C2×C4 | — | 8 | 2 | no | — |
| 1016 | C2×C4 | — | 8 | 2 | no | — |
| 1017 | C2×C4 | — | 8 | 2 | no | — |
| 1018 | C2×C4 | — | 8 | 2 | no | — |
| 1019 | C2×C4 | — | 16 | 4 | no | — |
| 1020 | C2×C4 | — | 16 | 2 | no | — |
| 1021 | C2×C4 | — | 32 | 8 | no | — |
| 1022 | C2×C4 | — | 32 | 2 | no | — |
| 1023 | C2×C4 | C4×#120 | 1 | 4 | yes | — |
| 1024 | C2×C4 | C2×#442 | 1 | 4 | yes | — |
| 1025 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 1026 | C2×C4 | C4×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 1027 | C2×C4 | #3003 | 1 | 4 | yes | — |
| 1028 | C2×C4 | #3006 | 1 | 2 | yes | — |
| 1029 | C2×C4 | #3109 | 1 | 2 | yes | — |
| 1030 | C2×C4 | #3114 | 1 | 4 | yes | — |
| 1031 | C2×C4 | C22×C4×D4 | 1 | 1 | yes | characteristic |
| 1032 | C2×C4 | C22×#120 | 1 | 1 | yes | characteristic |
| 1033 | C2×C4 | C2×#525 | 1 | 1 | yes | characteristic |
| 1034 | C2×C4 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1035 | C2×C4 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1036 | C2×C4 | C2×#575 | 1 | 1 | yes | characteristic |
| 1037 | C8 | — | 2 | 2 | no | — |
| 1038 | C8 | — | 2 | 4 | no | — |
| 1039 | C8 | — | 2 | 2 | no | — |
| 1040 | C8 | — | 2 | 4 | no | — |
| 1041 | C8 | — | 4 | 8 | no | — |
| 1042 | C8 | C4×#120 | 1 | 4 | yes | — |
| 1043 | C8 | C22×C4×D4 | 1 | 2 | yes | — |
| 1044 | C8 | C2×#525 | 1 | 2 | yes | — |
| 1045 | C22 | — | 2 | 2 | no | — |
| 1046 | C22 | — | 2 | 4 | no | — |
| 1047 | C22 | — | 2 | 4 | no | — |
| 1048 | C22 | — | 2 | 8 | no | — |
| 1049 | C22 | — | 4 | 2 | no | — |
| 1050 | C22 | — | 4 | 2 | no | — |
| 1051 | C22 | — | 4 | 8 | no | — |
| 1052 | C22 | — | 8 | 2 | no | — |
| 1053 | C22 | — | 8 | 2 | no | — |
| 1054 | C22 | — | 8 | 8 | no | — |
| 1055 | C22 | — | 8 | 4 | no | — |
| 1056 | C22 | — | 8 | 8 | no | — |
| 1057 | C22 | — | 16 | 8 | no | — |
| 1058 | C22 | — | 16 | 4 | no | — |
| 1059 | C22 | — | 16 | 2 | no | — |
| 1060 | C22 | — | 16 | 2 | no | — |
| 1061 | C22 | — | 16 | 16 | no | — |
| 1062 | C22 | — | 32 | 8 | no | — |
| 1063 | C22 | #21452 | 1 | 4 | yes | — |
| 1064 | C22 | C22×#442 | 1 | 1 | yes | characteristic |
| 1065 | C22 | C2×#3006 | 1 | 1 | yes | characteristic |
| 1066 | C22 | C2×#3109 | 1 | 1 | yes | characteristic |
| 1067 | C4 | — | 2 | 4 | no | — |
| 1068 | C4 | — | 4 | 4 | no | — |
| 1069 | C4 | — | 4 | 8 | no | — |
| 1070 | C4 | — | 8 | 1 | no | — |
| 1071 | C4 | — | 8 | 1 | no | — |
| 1072 | C4 | — | 8 | 4 | no | — |
| 1073 | C4 | — | 16 | 2 | no | — |
| 1074 | C4 | — | 16 | 2 | no | — |
| 1075 | C4 | #21452 | 1 | 4 | yes | — |
| 1076 | C4 | C2×C4×#120 | 1 | 1 | yes | characteristic |
| 1077 | C4 | C2×C4×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1078 | C4 | C2×#3003 | 1 | 1 | yes | characteristic |
| 1079 | C4 | C2×#3114 | 1 | 1 | yes | characteristic |
| 1080 | C2 | — | 2 | 1 | no | — |
| 1081 | C2 | — | 2 | 1 | no | — |
| 1082 | C2 | — | 2 | 4 | no | — |
| 1083 | C2 | — | 4 | 4 | no | — |
| 1084 | C2 | — | 8 | 8 | no | — |
| 1085 | C2 | — | 16 | 4 | no | — |
| 1086 | C2 | C2×#21452 | 1 | 1 | yes | characteristic |
| 1087 | C2 | #7622637 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C22×#442 |
| commutator | C2×C8 | C24×C4 |
| Frattini, cosocle | C22×C8 | C25 |
| prime radical | #7622822 | C2 |
| LCS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C22×#41 ◁ C2×#2875 ◁ G | |
| LECS | G ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#60184 | C2 | semidirect |
| 3. C2×#33471 | C2 | semidirect |
| 4. #6372968 | C2 | semidirect |
| 5. #495723 | C2 | semidirect |
| 6. #495721 | C2 | semidirect |
| 7. C2×#13040 | C2 | semidirect |
| 8. #494474 | C2 | semidirect |
| 9. #494334 | C2 | semidirect |
| 10. #494263 | C2 | semidirect |
| 11. #493523 | C2 | semidirect |
| 12. #493085 | C2 | semidirect |
| 13. #492952 | C2 | semidirect |
| 20. C2×#2957 | C22 | semidirect |
| 26. C22×#444 | C22 | semidirect |
| 27. C2×#2948 | C22 | semidirect |
| 32. #33524 | C4 | semidirect |
| 33. #33522 | C4 | semidirect |
| 36. C2×AGL(1,ℤ/16) | C22 | semidirect |
| 37. C2×#2155 | C22 | semidirect |
| 38. C22×#361 | C22 | semidirect |
| 44. C2×#2110 | C22 | semidirect |
| 47. #21529 | C22 | semidirect |
| 48. #21526 | C22 | semidirect |
| 49. C2×#1972 | C22 | semidirect |
| 50. #21154 | C22 | semidirect |
| 54. #20454 | C22 | semidirect |
| 56. #13040 | C22 | semidirect |
| 57. #13040 | C22 | semidirect |
| 58. #13004 | C22 | semidirect |
| 59. #12955 | C22 | semidirect |
| 60. #12955 | C22 | semidirect |
| 61. #12928 | C22 | semidirect |
| 62. #12735 | C22 | semidirect |
| 63. #12650 | C22 | semidirect |
| 64. #12606 | C22 | semidirect |
| 65. #12605 | C22 | semidirect |
| 66. #12569 | C22 | semidirect |
| 67. C2×#1383 | C22 | semidirect |
| 68. C2×#1375 | C22 | semidirect |
| 72. C2×#578 | C2×C4 | semidirect |
| 74. C2×#576 | C2×C4 | semidirect |
| 96. C2×#509 | C2×C4 | semidirect |
| 98. C22×SD32 | C2×C4 | semidirect |
| 99. C22×D16 | C2×C4 | semidirect |
| 108. #2957 | D4 | semidirect |
| 163. #2186 | C2×C4 | semidirect |
| 164. #2185 | C2×C4 | semidirect |
| 165. #2184 | C2×C4 | semidirect |
| 175. #2141 | C2×C4 | semidirect |
| 176. #2140 | C2×C4 | semidirect |
| 178. #2138 | C2×C4 | semidirect |
| 180. #2113 | C2×C4 | semidirect |
| 534. #135 | C4×D4 | semidirect |
| 541. C2×Q16 | C4×D4 | semidirect |
| 563. C2×D8 | C4×D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#60184 | 2 |
| #7622822 | 2 |
| C2×#33471 | 2 |
| #6372968 | 2 |
| #495723 | 2 |
| #495721 | 2 |
| C2×#13040 | 2 |
| #494474 | 2 |
| #494334 | 2 |
| #494263 | 2 |
| #493523 | 2 |
| #493085 | 2 |
| #492952 | 2 |