Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
4149 conjugacy classes of subgroups.
The subgroup lattice has 933 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D9×#576 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #11886903 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #11886900 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11886897 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #11886894 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #11886891 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | D9×#493 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | D9×#472 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | D9×#453 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | D9×#443 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C9×#3292 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D3×#3292 | — | 3 | 1 | no | maximal |
| 13 | D9×H(5,𝔽2) | C22 | 1 | 4 | yes | complemented |
| 14 | C9×#576 | C22 | 1 | 4 | yes | complemented |
| 15 | #10589937 | C22 | 1 | 8 | yes | complemented |
| 16 | #10589876 | — | 2 | 8 | no | — |
| 17 | #10589876 | C22 | 1 | 8 | yes | complemented |
| 18 | D9×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 19 | D9×AGL(1,ℤ/8) | C22 | 1 | 8 | yes | complemented |
| 20 | #10589871 | — | 2 | 4 | no | — |
| 21 | #10589871 | C22 | 1 | 4 | yes | complemented |
| 22 | D9×#135 | — | 2 | 4 | no | — |
| 23 | D9×#135 | C22 | 1 | 2 | yes | — |
| 24 | #10589859 | — | 2 | 4 | no | — |
| 25 | #10589859 | C22 | 1 | 4 | yes | complemented |
| 26 | C2×D8×D9 | — | 2 | 4 | no | — |
| 27 | C2×D8×D9 | C22 | 1 | 4 | yes | complemented |
| 28 | #10589854 | C22 | 1 | 4 | yes | complemented |
| 29 | D9×#131 | C22 | 1 | 4 | yes | complemented |
| 30 | D9×#127 | C22 | 1 | 2 | yes | complemented |
| 31 | C9×#493 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C9×#472 | C22 | 1 | 4 | yes | complemented |
| 33 | C9×#453 | C22 | 1 | 4 | yes | complemented |
| 34 | C9×#443 | C22 | 1 | 2 | yes | complemented |
| 35 | #10588922 | C22 | 1 | 4 | yes | complemented |
| 36 | #10588880 | C22 | 1 | 8 | yes | complemented |
| 37 | #10588879 | C22 | 1 | 8 | yes | complemented |
| 38 | #10588876 | C22 | 1 | 2 | yes | complemented |
| 39 | #10588840 | C22 | 1 | 4 | yes | complemented |
| 40 | #10588831 | C22 | 1 | 4 | yes | complemented |
| 41 | #10588824 | C22 | 1 | 4 | yes | complemented |
| 42 | #10588823 | C22 | 1 | 4 | yes | complemented |
| 43 | #10588757 | C22 | 1 | 4 | yes | complemented |
| 44 | #10588755 | C22 | 1 | 2 | yes | complemented |
| 45 | #10588577 | C22 | 1 | 4 | yes | complemented |
| 46 | #10588575 | C22 | 1 | 2 | yes | complemented |
| 47 | D9×#108 | C22 | 1 | 2 | yes | complemented |
| 48 | #10588504 | C22 | 1 | 4 | yes | complemented |
| 49 | #10588502 | C22 | 1 | 8 | yes | complemented |
| 50 | D9×#104 | C22 | 1 | 4 | yes | complemented |
| 51 | #10588429 | C22 | 1 | 8 | yes | complemented |
| 52 | #10588427 | C22 | 1 | 4 | yes | complemented |
| 53 | D9×#100 | C22 | 1 | 4 | yes | complemented |
| 54 | #10588380 | C22 | 1 | 2 | yes | complemented |
| 55 | #10588377 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C4×C8×D9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | D3×#576 | — | 3 | 4 | no | — |
| 58 | C3×#3292 | D3 | 1 | 1 | yes | characteristic |
| 59 | #84010 | — | 3 | 4 | no | — |
| 60 | #81791 | — | 3 | 1 | no | — |
| 61 | D3×#493 | — | 3 | 1 | no | — |
| 62 | #80941 | — | 3 | 4 | no | — |
| 63 | D3×#472 | — | 3 | 4 | no | — |
| 64 | #80282 | — | 3 | 4 | no | — |
| 65 | D3×#453 | — | 3 | 4 | no | — |
| 66 | #79894 | — | 3 | 2 | no | — |
| 67 | D3×#443 | — | 3 | 2 | no | — |
| 68 | C9×H(5,𝔽2) | C23 | 1 | 4 | yes | complemented |
| 69 | #63715 | — | 2 | 8 | no | — |
| 70 | #63715 | C23 | 1 | 8 | yes | complemented |
| 71 | #41×D9 | — | 2 | 8 | no | — |
| 72 | #41×D9 | C23 | 1 | 4 | yes | — |
| 73 | #63710 | — | 2 | 8 | no | — |
| 74 | #63710 | — | 4 | 4 | no | — |
| 75 | #63710 | C23 | 1 | 4 | yes | complemented |
| 76 | C2×D4×D9 | — | 2 | 8 | no | — |
| 77 | C2×D4×D9 | — | 4 | 2 | no | — |
| 78 | C2×D4×D9 | — | 4 | 4 | no | — |
| 79 | C2×D4×D9 | C23 | 1 | 4 | yes | — |
| 80 | C9×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 81 | C9×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | complemented |
| 82 | C9×#135 | — | 2 | 4 | no | — |
| 83 | C9×#135 | C23 | 1 | 2 | yes | — |
| 84 | C2×C9×D8 | — | 2 | 4 | no | — |
| 85 | C2×C9×D8 | C23 | 1 | 4 | yes | complemented |
| 86 | C9×#131 | C23 | 1 | 4 | yes | complemented |
| 87 | C9×#127 | C23 | 1 | 2 | yes | complemented |
| 88 | #63513 | — | 2 | 8 | no | — |
| 89 | #63513 | C23 | 1 | 4 | yes | — |
| 90 | #63512 | — | 2 | 8 | no | — |
| 91 | #63512 | C23 | 1 | 8 | yes | complemented |
| 92 | #63510 | C23 | 1 | 4 | yes | complemented |
| 93 | #63502 | — | 4 | 2 | no | — |
| 94 | #63502 | C23 | 1 | 4 | yes | complemented |
| 95 | #63495 | — | 2 | 8 | no | — |
| 96 | #63495 | C23 | 1 | 8 | yes | complemented |
| 97 | C2×#3673 | — | 2 | 8 | no | — |
| 98 | C2×#3673 | C23 | 1 | 8 | yes | complemented |
| 99 | #63481 | — | 2 | 4 | no | — |
| 100 | #63481 | D4 | 1 | 2 | yes | complemented |
| 101 | Q16×D9 | D4 | 1 | 2 | yes | complemented |
| 102 | #63478 | — | 2 | 8 | no | — |
| 103 | #63478 | D4 | 1 | 4 | yes | complemented |
| 104 | #63476 | — | 2 | 8 | no | — |
| 105 | #63476 | — | 2 | 8 | no | — |
| 106 | #63476 | — | 2 | 8 | no | — |
| 107 | SD16×D9 | — | 2 | 8 | no | — |
| 108 | SD16×D9 | D4 | 1 | 4 | yes | complemented |
| 109 | #63474 | — | 2 | 4 | no | — |
| 110 | #63474 | D4 | 1 | 2 | yes | complemented |
| 111 | #63473 | — | 2 | 8 | no | — |
| 112 | #63473 | — | 2 | 8 | no | — |
| 113 | #63473 | — | 2 | 8 | no | — |
| 114 | D8×D9 | — | 2 | 8 | no | — |
| 115 | D8×D9 | — | 2 | 4 | no | — |
| 116 | D8×D9 | — | 2 | 8 | no | — |
| 117 | D8×D9 | — | 2 | 4 | no | — |
| 118 | D8×D9 | — | 2 | 4 | no | — |
| 119 | D8×D9 | — | 2 | 4 | no | — |
| 120 | D8×D9 | — | 2 | 4 | no | — |
| 121 | D8×D9 | — | 2 | 4 | no | — |
| 122 | D8×D9 | D4 | 1 | 2 | yes | complemented |
| 123 | #63470 | — | 2 | 8 | no | — |
| 124 | #63470 | C23 | 1 | 8 | yes | complemented |
| 125 | #63469 | — | 2 | 4 | no | — |
| 126 | #63469 | C23 | 1 | 4 | yes | complemented |
| 127 | M16×D9 | — | 2 | 4 | no | — |
| 128 | M16×D9 | C23 | 1 | 4 | yes | — |
| 129 | #63467 | — | 2 | 4 | no | — |
| 130 | #63467 | C23 | 1 | 2 | yes | — |
| 131 | C2×D72 | — | 2 | 4 | no | — |
| 132 | C2×D72 | C23 | 1 | 4 | yes | complemented |
| 133 | #63464 | — | 2 | 4 | no | — |
| 134 | #63464 | C23 | 1 | 4 | yes | complemented |
| 135 | C2×C8×D9 | — | 2 | 4 | no | — |
| 136 | C2×C8×D9 | C23 | 1 | 2 | yes | — |
| 137 | #63436 | C23 | 1 | 2 | yes | complemented |
| 138 | C42×D9 | C23 | 1 | 1 | yes | characteristic |
| 139 | C9×#108 | C23 | 1 | 2 | yes | complemented |
| 140 | C9×#104 | C23 | 1 | 4 | yes | complemented |
| 141 | C9×#100 | C23 | 1 | 4 | yes | complemented |
| 142 | C4×C8×C9 | C23 | 1 | 1 | yes | characteristic, complemented |
| 143 | #63396 | C23 | 1 | 4 | yes | complemented |
| 144 | #63391 | C23 | 1 | 4 | yes | complemented |
| 145 | #63384 | C23 | 1 | 4 | yes | complemented |
| 146 | #63383 | C23 | 1 | 8 | yes | complemented |
| 147 | #63381 | C23 | 1 | 4 | yes | complemented |
| 148 | C8×Dic9 | C23 | 1 | 2 | yes | complemented |
| 149 | #63372 | C23 | 1 | 2 | yes | complemented |
| 150 | #63364 | C23 | 1 | 4 | yes | complemented |
| 151 | C4×C9⋊C8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 152 | C2×#3292 | — | 9 | 1 | no | Sylow |
| 153 | D3×H(5,𝔽2) | — | 3 | 4 | no | — |
| 154 | C3×#576 | C2×D3 | 1 | 4 | yes | — |
| 155 | #5835 | — | 3 | 8 | no | — |
| 156 | #5774 | — | 3 | 8 | no | — |
| 157 | #5774 | — | 6 | 8 | no | — |
| 158 | D3×AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 159 | D3×AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 160 | #5769 | — | 3 | 4 | no | — |
| 161 | #5769 | — | 6 | 4 | no | — |
| 162 | D3×#135 | — | 3 | 2 | no | — |
| 163 | D3×#135 | — | 6 | 4 | no | — |
| 164 | #5757 | — | 3 | 4 | no | — |
| 165 | #5757 | — | 6 | 4 | no | — |
| 166 | C2×D3×D8 | — | 3 | 4 | no | — |
| 167 | C2×D3×D8 | — | 6 | 4 | no | — |
| 168 | #5752 | — | 3 | 4 | no | — |
| 169 | D3×#131 | — | 3 | 4 | no | — |
| 170 | D3×#127 | — | 3 | 2 | no | — |
| 171 | C3×#493 | C2×D3 | 1 | 1 | yes | characteristic |
| 172 | C3×#472 | C2×D3 | 1 | 4 | yes | — |
| 173 | C3×#453 | C2×D3 | 1 | 4 | yes | — |
| 174 | C3×#443 | C2×D3 | 1 | 2 | yes | — |
| 175 | #5241 | — | 3 | 4 | no | — |
| 176 | #5199 | — | 3 | 8 | no | — |
| 177 | #5198 | — | 3 | 8 | no | — |
| 178 | #5196 | — | 3 | 2 | no | — |
| 179 | #5160 | — | 3 | 4 | no | — |
| 180 | #5151 | — | 3 | 4 | no | — |
| 181 | #5144 | — | 3 | 4 | no | — |
| 182 | #5142 | — | 3 | 4 | no | — |
| 183 | #5077 | — | 3 | 4 | no | — |
| 184 | #5073 | — | 3 | 2 | no | — |
| 185 | #4897 | — | 3 | 4 | no | — |
| 186 | #4895 | — | 3 | 2 | no | — |
| 187 | D3×#108 | — | 3 | 2 | no | — |
| 188 | #4824 | — | 3 | 4 | no | — |
| 189 | #4822 | — | 3 | 8 | no | — |
| 190 | D3×#104 | — | 3 | 4 | no | — |
| 191 | #4749 | — | 3 | 8 | no | — |
| 192 | #4747 | — | 3 | 4 | no | — |
| 193 | D3×#100 | — | 3 | 4 | no | — |
| 194 | #4700 | — | 3 | 2 | no | — |
| 195 | #4695 | — | 3 | 1 | no | — |
| 196 | C4×D3×C8 | — | 3 | 1 | no | — |
| 197 | C23×D9 | — | 2 | 4 | no | — |
| 198 | C23×D9 | — | 4 | 4 | no | — |
| 199 | C9×#41 | — | 2 | 8 | no | — |
| 200 | C9×#41 | C24 | 1 | 4 | yes | — |
| 201 | C2×D4×C9 | — | 2 | 8 | no | — |
| 202 | C2×D4×C9 | — | 4 | 2 | no | — |
| 203 | C2×D4×C9 | — | 4 | 4 | no | — |
| 204 | C2×D4×C9 | C24 | 1 | 4 | yes | — |
| 205 | C2×#611 | — | 2 | 4 | no | — |
| 206 | C2×#611 | — | 4 | 8 | no | — |
| 207 | C2×#611 | — | 4 | 4 | no | — |
| 208 | C2×#611 | — | 4 | 4 | no | — |
| 209 | C2×#611 | — | 4 | 4 | no | — |
| 210 | #3701 | — | 2 | 8 | no | — |
| 211 | #3701 | C2×D4 | 1 | 4 | yes | — |
| 212 | Q8×D9 | C2×D4 | 1 | 4 | yes | — |
| 213 | #3699 | — | 2 | 4 | no | — |
| 214 | #3699 | — | 2 | 8 | no | — |
| 215 | #3699 | — | 4 | 8 | no | — |
| 216 | #3699 | C2×D4 | 1 | 4 | yes | — |
| 217 | D4×D9 | — | 2 | 4 | no | — |
| 218 | D4×D9 | — | 2 | 8 | no | — |
| 219 | D4×D9 | — | 2 | 8 | no | — |
| 220 | D4×D9 | — | 2 | 8 | no | — |
| 221 | D4×D9 | — | 2 | 8 | no | — |
| 222 | D4×D9 | — | 4 | 8 | no | — |
| 223 | D4×D9 | — | 4 | 8 | no | — |
| 224 | D4×D9 | — | 4 | 8 | no | — |
| 225 | D4×D9 | — | 4 | 8 | no | — |
| 226 | D4×D9 | — | 8 | 8 | no | — |
| 227 | D4×D9 | C2×D4 | 1 | 4 | yes | — |
| 228 | #3697 | — | 2 | 4 | no | — |
| 229 | #3697 | — | 2 | 8 | no | — |
| 230 | #3697 | — | 4 | 8 | no | — |
| 231 | #3697 | C24 | 1 | 4 | yes | — |
| 232 | C2×D36 | — | 2 | 8 | no | — |
| 233 | C2×D36 | — | 4 | 4 | no | — |
| 234 | C2×D36 | — | 4 | 2 | no | — |
| 235 | C2×D36 | C24 | 1 | 4 | yes | — |
| 236 | C2×C4×D9 | — | 2 | 1 | no | — |
| 237 | C2×C4×D9 | — | 2 | 4 | no | — |
| 238 | C2×C4×D9 | — | 4 | 4 | no | — |
| 239 | C2×C4×D9 | C24 | 1 | 1 | yes | characteristic |
| 240 | C9×Q16 | C2×D4 | 1 | 2 | yes | complemented |
| 241 | C9×SD16 | — | 2 | 8 | no | — |
| 242 | C9×SD16 | C2×D4 | 1 | 4 | yes | complemented |
| 243 | C9×D8 | — | 2 | 8 | no | — |
| 244 | C9×D8 | — | 2 | 4 | no | — |
| 245 | C9×D8 | — | 2 | 4 | no | — |
| 246 | C9×D8 | C2×D4 | 1 | 2 | yes | complemented |
| 247 | C9×M16 | — | 2 | 4 | no | — |
| 248 | C9×M16 | C24 | 1 | 4 | yes | — |
| 249 | C2×C8×C9 | — | 2 | 4 | no | — |
| 250 | C2×C8×C9 | C24 | 1 | 2 | yes | — |
| 251 | C42×C9 | C24 | 1 | 1 | yes | characteristic |
| 252 | #3675 | — | 2 | 8 | no | — |
| 253 | #3675 | C2×D4 | 1 | 4 | yes | complemented |
| 254 | #3674 | C2×D4 | 1 | 4 | yes | complemented |
| 255 | #3673 | — | 2 | 8 | no | — |
| 256 | #3673 | — | 2 | 8 | no | — |
| 257 | #3673 | — | 2 | 8 | no | — |
| 258 | #3673 | — | 2 | 8 | no | — |
| 259 | #3673 | C2×D4 | 1 | 4 | yes | complemented |
| 260 | #3672 | — | 2 | 8 | no | — |
| 261 | #3672 | C2×D4 | 1 | 4 | yes | complemented |
| 262 | C4×Dic9 | — | 2 | 1 | no | — |
| 263 | C4×Dic9 | C24 | 1 | 1 | yes | characteristic |
| 264 | #3667 | — | 2 | 4 | no | — |
| 265 | #3667 | C24 | 1 | 4 | yes | — |
| 266 | C2×C9⋊C8 | — | 2 | 4 | no | — |
| 267 | C2×C9⋊C8 | C24 | 1 | 2 | yes | — |
| 268 | D72 | — | 2 | 8 | no | — |
| 269 | D72 | — | 2 | 4 | no | — |
| 270 | D72 | — | 2 | 4 | no | — |
| 271 | D72 | C2×D4 | 1 | 2 | yes | complemented |
| 272 | #3664 | — | 2 | 8 | no | — |
| 273 | #3664 | C2×D4 | 1 | 4 | yes | complemented |
| 274 | #3663 | — | 2 | 4 | no | — |
| 275 | #3663 | — | 2 | 4 | no | — |
| 276 | #3663 | — | 2 | 4 | no | — |
| 277 | C8×D9 | — | 2 | 4 | no | — |
| 278 | C8×D9 | — | 2 | 4 | no | — |
| 279 | C8×D9 | — | 2 | 4 | no | — |
| 280 | C8×D9 | C2×D4 | 1 | 2 | yes | — |
| 281 | C8×D9 | C2×D4 | 1 | 2 | yes | — |
| 282 | C8×D9 | C2×D4 | 1 | 2 | yes | — |
| 283 | C8×D9 | C2×D4 | 1 | 2 | yes | — |
| 284 | Dic36 | C2×D4 | 1 | 2 | yes | complemented |
| 285 | C2×#576 | — | 9 | 4 | no | — |
| 286 | #3292 | — | 9 | 1 | no | — |
| 287 | #3292 | — | 9 | 4 | no | — |
| 288 | #3292 | — | 9 | 4 | no | — |
| 289 | #3292 | — | 9 | 2 | no | — |
| 290 | #3292 | — | 9 | 4 | no | — |
| 291 | #3292 | D9 | 1 | 1 | yes | characteristic, direct product factor |
| 292 | C2×#493 | — | 9 | 1 | no | — |
| 293 | C2×#472 | — | 9 | 4 | no | — |
| 294 | C2×#453 | — | 9 | 4 | no | — |
| 295 | C2×#443 | — | 9 | 2 | no | — |
| 296 | C3×H(5,𝔽2) | C22×D3 | 1 | 4 | yes | — |
| 297 | #1009 | — | 3 | 8 | no | — |
| 298 | #1009 | — | 6 | 8 | no | — |
| 299 | D3×#41 | — | 3 | 4 | no | — |
| 300 | D3×#41 | — | 6 | 8 | no | — |
| 301 | #1004 | — | 3 | 4 | no | — |
| 302 | #1004 | — | 6 | 8 | no | — |
| 303 | #1004 | — | 12 | 4 | no | — |
| 304 | C2×D3×D4 | — | 3 | 4 | no | — |
| 305 | C2×D3×D4 | — | 6 | 8 | no | — |
| 306 | C2×D3×D4 | — | 12 | 2 | no | — |
| 307 | C2×D3×D4 | — | 12 | 4 | no | — |
| 308 | C3×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 309 | C3×AGL(1,ℤ/8) | C22×D3 | 1 | 8 | yes | — |
| 310 | C3×#135 | — | 2 | 4 | no | — |
| 311 | C3×#135 | C22×D3 | 1 | 2 | yes | — |
| 312 | C2×C3×D8 | — | 2 | 4 | no | — |
| 313 | C2×C3×D8 | C22×D3 | 1 | 4 | yes | — |
| 314 | C3×#131 | C22×D3 | 1 | 4 | yes | — |
| 315 | C3×#127 | C22×D3 | 1 | 2 | yes | — |
| 316 | #950 | — | 3 | 4 | no | — |
| 317 | #950 | — | 6 | 8 | no | — |
| 318 | #949 | — | 3 | 8 | no | — |
| 319 | #949 | — | 6 | 8 | no | — |
| 320 | #948 | — | 3 | 4 | no | — |
| 321 | #940 | — | 3 | 4 | no | — |
| 322 | #940 | — | 12 | 2 | no | — |
| 323 | #932 | — | 3 | 8 | no | — |
| 324 | #932 | — | 6 | 8 | no | — |
| 325 | C2×#213 | — | 3 | 8 | no | — |
| 326 | C2×#213 | — | 6 | 8 | no | — |
| 327 | #919 | — | 3 | 2 | no | — |
| 328 | #919 | — | 6 | 4 | no | — |
| 329 | D3×Q16 | — | 3 | 2 | no | — |
| 330 | #916 | — | 3 | 4 | no | — |
| 331 | #916 | — | 6 | 8 | no | — |
| 332 | #914 | — | 6 | 8 | no | — |
| 333 | #914 | — | 6 | 8 | no | — |
| 334 | #914 | — | 6 | 8 | no | — |
| 335 | D3×SD16 | — | 3 | 4 | no | — |
| 336 | D3×SD16 | — | 6 | 8 | no | — |
| 337 | #912 | — | 3 | 2 | no | — |
| 338 | #912 | — | 6 | 4 | no | — |
| 339 | #911 | — | 6 | 8 | no | — |
| 340 | #911 | — | 6 | 8 | no | — |
| 341 | #911 | — | 6 | 8 | no | — |
| 342 | D3×D8 | — | 3 | 2 | no | — |
| 343 | D3×D8 | — | 6 | 4 | no | — |
| 344 | D3×D8 | — | 6 | 4 | no | — |
| 345 | D3×D8 | — | 6 | 4 | no | — |
| 346 | D3×D8 | — | 6 | 4 | no | — |
| 347 | D3×D8 | — | 6 | 4 | no | — |
| 348 | D3×D8 | — | 6 | 8 | no | — |
| 349 | D3×D8 | — | 6 | 8 | no | — |
| 350 | D3×D8 | — | 6 | 4 | no | — |
| 351 | #908 | — | 3 | 8 | no | — |
| 352 | #908 | — | 6 | 8 | no | — |
| 353 | #907 | — | 3 | 4 | no | — |
| 354 | #907 | — | 6 | 4 | no | — |
| 355 | D3×M16 | — | 3 | 4 | no | — |
| 356 | D3×M16 | — | 6 | 4 | no | — |
| 357 | #904 | — | 3 | 2 | no | — |
| 358 | #904 | — | 6 | 4 | no | — |
| 359 | C2×D24 | — | 3 | 4 | no | — |
| 360 | C2×D24 | — | 6 | 4 | no | — |
| 361 | #901 | — | 3 | 4 | no | — |
| 362 | #901 | — | 6 | 4 | no | — |
| 363 | C2×D3×C8 | — | 3 | 2 | no | — |
| 364 | C2×D3×C8 | — | 6 | 4 | no | — |
| 365 | #874 | — | 3 | 2 | no | — |
| 366 | C42×D3 | — | 3 | 1 | no | — |
| 367 | C3×#108 | C22×D3 | 1 | 2 | yes | — |
| 368 | C3×#104 | C22×D3 | 1 | 4 | yes | — |
| 369 | C3×#100 | C22×D3 | 1 | 4 | yes | — |
| 370 | C3×C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 371 | #837 | — | 3 | 4 | no | — |
| 372 | #833 | — | 3 | 4 | no | — |
| 373 | #825 | — | 3 | 4 | no | — |
| 374 | #823 | — | 3 | 8 | no | — |
| 375 | #822 | — | 3 | 4 | no | — |
| 376 | #819 | — | 3 | 2 | no | — |
| 377 | C8×Dic3 | — | 3 | 2 | no | — |
| 378 | #805 | — | 3 | 4 | no | — |
| 379 | C4×C3⋊C8 | — | 3 | 1 | no | — |
| 380 | C23×C9 | — | 2 | 4 | no | — |
| 381 | C23×C9 | — | 4 | 4 | no | — |
| 382 | C22×D9 | — | 2 | 4 | no | — |
| 383 | C22×D9 | — | 2 | 4 | no | — |
| 384 | C22×D9 | — | 4 | 4 | no | — |
| 385 | C22×D9 | — | 4 | 8 | no | — |
| 386 | C22×D9 | — | 4 | 4 | no | — |
| 387 | C22×D9 | — | 4 | 4 | no | — |
| 388 | C22×D9 | — | 8 | 8 | no | — |
| 389 | C22×D9 | — | 16 | 8 | no | — |
| 390 | C22×D9 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 391 | Q8×C9 | C22×D4 | 1 | 4 | yes | — |
| 392 | D4×C9 | — | 2 | 4 | no | — |
| 393 | D4×C9 | — | 2 | 8 | no | — |
| 394 | D4×C9 | — | 4 | 8 | no | — |
| 395 | D4×C9 | — | 8 | 4 | no | — |
| 396 | D4×C9 | C22×D4 | 1 | 4 | yes | — |
| 397 | C2×C4×C9 | — | 2 | 1 | no | — |
| 398 | C2×C4×C9 | — | 2 | 4 | no | — |
| 399 | C2×C4×C9 | — | 4 | 4 | no | — |
| 400 | C2×C4×C9 | C25 | 1 | 1 | yes | characteristic |
| 401 | #611 | — | 2 | 4 | no | — |
| 402 | #611 | — | 2 | 4 | no | — |
| 403 | #611 | — | 2 | 4 | no | — |
| 404 | #611 | — | 4 | 8 | no | — |
| 405 | #611 | — | 4 | 8 | no | — |
| 406 | #611 | — | 4 | 8 | no | — |
| 407 | #611 | — | 8 | 8 | no | — |
| 408 | C2×Dic9 | — | 2 | 1 | no | — |
| 409 | C2×Dic9 | — | 2 | 4 | no | — |
| 410 | C2×Dic9 | — | 4 | 4 | no | — |
| 411 | C2×Dic9 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 412 | D36 | — | 2 | 4 | no | — |
| 413 | D36 | — | 2 | 8 | no | — |
| 414 | D36 | — | 4 | 8 | no | — |
| 415 | D36 | — | 8 | 4 | no | — |
| 416 | D36 | C22×D4 | 1 | 4 | yes | — |
| 417 | C4×D9 | — | 2 | 4 | no | — |
| 418 | C4×D9 | — | 2 | 4 | no | — |
| 419 | C4×D9 | — | 2 | 4 | no | — |
| 420 | C4×D9 | — | 2 | 4 | no | — |
| 421 | C4×D9 | — | 4 | 8 | no | — |
| 422 | C4×D9 | C22×D4 | 1 | 2 | yes | — |
| 423 | C4×D9 | C22×D4 | 1 | 2 | yes | — |
| 424 | Dic18 | — | 2 | 4 | no | — |
| 425 | Dic18 | C22×D4 | 1 | 4 | yes | — |
| 426 | C8×C9 | — | 2 | 4 | no | — |
| 427 | C8×C9 | C22×D4 | 1 | 2 | yes | — |
| 428 | C8×C9 | C22×D4 | 1 | 2 | yes | — |
| 429 | C9⋊C8 | — | 2 | 4 | no | — |
| 430 | C9⋊C8 | C22×D4 | 1 | 2 | yes | — |
| 431 | C9⋊C8 | C22×D4 | 1 | 2 | yes | — |
| 432 | C2×H(5,𝔽2) | — | 9 | 4 | no | — |
| 433 | #576 | — | 9 | 8 | no | — |
| 434 | #576 | — | 9 | 8 | no | — |
| 435 | #576 | — | 9 | 4 | no | — |
| 436 | #576 | — | 9 | 4 | no | — |
| 437 | #576 | — | 9 | 4 | no | — |
| 438 | #576 | — | 18 | 4 | no | — |
| 439 | #576 | — | 18 | 4 | no | — |
| 440 | #576 | — | 18 | 8 | no | — |
| 441 | #576 | C2×D9 | 1 | 4 | yes | complemented |
| 442 | C2×AGL(1,ℤ/8) | — | 9 | 8 | no | — |
| 443 | C2×AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 444 | C2×#135 | — | 9 | 2 | no | — |
| 445 | C2×#135 | — | 18 | 4 | no | — |
| 446 | C22×D8 | — | 9 | 4 | no | — |
| 447 | C22×D8 | — | 18 | 4 | no | — |
| 448 | C2×#131 | — | 9 | 4 | no | — |
| 449 | C2×#127 | — | 9 | 2 | no | — |
| 450 | #493 | — | 9 | 4 | no | — |
| 451 | #493 | — | 9 | 2 | no | — |
| 452 | #493 | — | 9 | 1 | no | — |
| 453 | #493 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 454 | #472 | — | 9 | 8 | no | — |
| 455 | #472 | — | 9 | 4 | no | — |
| 456 | #472 | — | 9 | 4 | no | — |
| 457 | #472 | — | 9 | 4 | no | — |
| 458 | #472 | — | 9 | 8 | no | — |
| 459 | #472 | C2×D9 | 1 | 4 | yes | complemented |
| 460 | #453 | — | 9 | 4 | no | — |
| 461 | #453 | — | 9 | 8 | no | — |
| 462 | #453 | — | 9 | 4 | no | — |
| 463 | #453 | — | 9 | 8 | no | — |
| 464 | #453 | — | 9 | 4 | no | — |
| 465 | #453 | C2×D9 | 1 | 4 | yes | complemented |
| 466 | #443 | — | 9 | 2 | no | — |
| 467 | #443 | — | 9 | 4 | no | — |
| 468 | #443 | — | 9 | 2 | no | — |
| 469 | #443 | — | 9 | 4 | no | — |
| 470 | #443 | — | 9 | 2 | no | — |
| 471 | #443 | C2×D9 | 1 | 2 | yes | complemented |
| 472 | C2×#108 | — | 9 | 2 | no | — |
| 473 | C2×#104 | — | 9 | 4 | no | — |
| 474 | C2×#100 | — | 9 | 4 | no | — |
| 475 | C2×C4×C8 | — | 9 | 1 | no | — |
| 476 | C23×D3 | — | 6 | 4 | no | — |
| 477 | C23×D3 | — | 12 | 4 | no | — |
| 478 | C3×#41 | — | 2 | 8 | no | — |
| 479 | C3×#41 | C23×D3 | 1 | 4 | yes | — |
| 480 | C2×C3×D4 | — | 2 | 8 | no | — |
| 481 | C2×C3×D4 | — | 4 | 2 | no | — |
| 482 | C2×C3×D4 | — | 4 | 4 | no | — |
| 483 | C2×C3×D4 | C23×D3 | 1 | 4 | yes | — |
| 484 | C2×#67 | — | 6 | 4 | no | — |
| 485 | C2×#67 | — | 12 | 8 | no | — |
| 486 | C2×#67 | — | 12 | 4 | no | — |
| 487 | C2×#67 | — | 12 | 4 | no | — |
| 488 | C2×#67 | — | 12 | 4 | no | — |
| 489 | #239 | — | 3 | 4 | no | — |
| 490 | #239 | — | 6 | 8 | no | — |
| 491 | D3×Q8 | — | 3 | 4 | no | — |
| 492 | #237 | — | 3 | 4 | no | — |
| 493 | #237 | — | 6 | 8 | no | — |
| 494 | #237 | — | 6 | 4 | no | — |
| 495 | #237 | — | 12 | 8 | no | — |
| 496 | D3×D4 | — | 3 | 4 | no | — |
| 497 | D3×D4 | — | 6 | 8 | no | — |
| 498 | D3×D4 | — | 6 | 8 | no | — |
| 499 | D3×D4 | — | 6 | 8 | no | — |
| 500 | D3×D4 | — | 6 | 4 | no | — |
| 501 | D3×D4 | — | 6 | 8 | no | — |
| 502 | D3×D4 | — | 12 | 8 | no | — |
| 503 | D3×D4 | — | 12 | 8 | no | — |
| 504 | D3×D4 | — | 12 | 8 | no | — |
| 505 | D3×D4 | — | 12 | 8 | no | — |
| 506 | D3×D4 | — | 24 | 8 | no | — |
| 507 | #235 | — | 3 | 4 | no | — |
| 508 | #235 | — | 6 | 8 | no | — |
| 509 | #235 | — | 6 | 4 | no | — |
| 510 | #235 | — | 12 | 8 | no | — |
| 511 | C2×D12 | — | 3 | 4 | no | — |
| 512 | C2×D12 | — | 6 | 8 | no | — |
| 513 | C2×D12 | — | 12 | 4 | no | — |
| 514 | C2×D12 | — | 12 | 2 | no | — |
| 515 | C2×C4×D3 | — | 3 | 1 | no | — |
| 516 | C2×C4×D3 | — | 6 | 4 | no | — |
| 517 | C2×C4×D3 | — | 6 | 1 | no | — |
| 518 | C2×C4×D3 | — | 12 | 4 | no | — |
| 519 | C3×Q16 | D3×D4 | 1 | 2 | yes | — |
| 520 | C3×SD16 | — | 2 | 8 | no | — |
| 521 | C3×SD16 | D3×D4 | 1 | 4 | yes | — |
| 522 | C3×D8 | — | 2 | 8 | no | — |
| 523 | C3×D8 | — | 2 | 4 | no | — |
| 524 | C3×D8 | — | 2 | 4 | no | — |
| 525 | C3×D8 | D3×D4 | 1 | 2 | yes | — |
| 526 | C3×M16 | — | 2 | 4 | no | — |
| 527 | C3×M16 | C23×D3 | 1 | 4 | yes | — |
| 528 | C2×C3×C8 | — | 2 | 4 | no | — |
| 529 | C2×C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 530 | C3×C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 531 | #216 | — | 3 | 4 | no | — |
| 532 | #215 | — | 3 | 4 | no | — |
| 533 | #215 | — | 6 | 8 | no | — |
| 534 | #214 | — | 3 | 4 | no | — |
| 535 | #214 | — | 6 | 8 | no | — |
| 536 | #213 | — | 3 | 4 | no | — |
| 537 | #213 | — | 6 | 8 | no | — |
| 538 | #213 | — | 6 | 8 | no | — |
| 539 | #213 | — | 6 | 8 | no | — |
| 540 | #213 | — | 6 | 8 | no | — |
| 541 | C4×Dic3 | — | 3 | 1 | no | — |
| 542 | C4×Dic3 | — | 6 | 1 | no | — |
| 543 | #208 | — | 3 | 4 | no | — |
| 544 | #208 | — | 6 | 4 | no | — |
| 545 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 546 | C2×C3⋊C8 | — | 6 | 4 | no | — |
| 547 | Dic12 | — | 3 | 2 | no | — |
| 548 | D24 | — | 3 | 2 | no | — |
| 549 | D24 | — | 6 | 8 | no | — |
| 550 | D24 | — | 6 | 4 | no | — |
| 551 | D24 | — | 6 | 4 | no | — |
| 552 | #204 | — | 3 | 4 | no | — |
| 553 | #204 | — | 6 | 8 | no | — |
| 554 | ΓL(1,𝔽25) | — | 6 | 4 | no | — |
| 555 | ΓL(1,𝔽25) | — | 6 | 4 | no | — |
| 556 | ΓL(1,𝔽25) | — | 6 | 4 | no | — |
| 557 | D3×C8 | — | 3 | 2 | no | — |
| 558 | D3×C8 | — | 3 | 2 | no | — |
| 559 | D3×C8 | — | 3 | 2 | no | — |
| 560 | D3×C8 | — | 3 | 2 | no | — |
| 561 | D3×C8 | — | 6 | 4 | no | — |
| 562 | D3×C8 | — | 6 | 4 | no | — |
| 563 | D3×C8 | — | 6 | 4 | no | — |
| 564 | C22×C9 | — | 2 | 4 | no | — |
| 565 | C22×C9 | — | 4 | 4 | no | — |
| 566 | C22×C9 | — | 8 | 4 | no | — |
| 567 | C22×C9 | — | 16 | 4 | no | — |
| 568 | C22×C9 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 569 | C2×D9 | — | 2 | 2 | no | — |
| 570 | C2×D9 | — | 2 | 4 | no | — |
| 571 | C2×D9 | — | 4 | 8 | no | — |
| 572 | C2×D9 | — | 4 | 4 | no | — |
| 573 | C2×D9 | — | 8 | 8 | no | — |
| 574 | C2×D9 | — | 8 | 4 | no | — |
| 575 | C2×D9 | — | 16 | 4 | no | — |
| 576 | C2×D9 | — | 16 | 4 | no | — |
| 577 | C2×D9 | — | 16 | 8 | no | — |
| 578 | C2×D9 | D42 | 1 | 1 | yes | characteristic |
| 579 | C2×D9 | D42 | 1 | 1 | yes | characteristic |
| 580 | C4×C9 | — | 2 | 2 | no | — |
| 581 | C4×C9 | — | 2 | 4 | no | — |
| 582 | C4×C9 | C23×D4 | 1 | 2 | yes | — |
| 583 | Dic9 | — | 2 | 2 | no | — |
| 584 | Dic9 | — | 2 | 4 | no | — |
| 585 | Dic9 | D42 | 1 | 2 | yes | — |
| 586 | H(5,𝔽2) | — | 9 | 8 | no | — |
| 587 | H(5,𝔽2) | — | 9 | 4 | no | — |
| 588 | H(5,𝔽2) | — | 18 | 8 | no | — |
| 589 | H(5,𝔽2) | — | 18 | 8 | no | — |
| 590 | H(5,𝔽2) | — | 36 | 4 | no | — |
| 591 | H(5,𝔽2) | C22×D9 | 1 | 4 | yes | complemented |
| 592 | C2×#41 | — | 9 | 4 | no | — |
| 593 | C2×#41 | — | 18 | 8 | no | — |
| 594 | C22×D4 | — | 9 | 4 | no | — |
| 595 | C22×D4 | — | 18 | 8 | no | — |
| 596 | C22×D4 | — | 36 | 2 | no | — |
| 597 | C22×D4 | — | 36 | 4 | no | — |
| 598 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 599 | AGL(1,ℤ/8) | — | 9 | 8 | no | — |
| 600 | AGL(1,ℤ/8) | — | 9 | 8 | no | — |
| 601 | AGL(1,ℤ/8) | — | 9 | 8 | no | — |
| 602 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 603 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 604 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 605 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 606 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 607 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 608 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 609 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 610 | AGL(1,ℤ/8) | — | 18 | 8 | no | — |
| 611 | AGL(1,ℤ/8) | C22×D9 | 1 | 8 | yes | complemented |
| 612 | #135 | — | 2 | 4 | no | — |
| 613 | #135 | — | 9 | 4 | no | — |
| 614 | #135 | — | 9 | 2 | no | — |
| 615 | #135 | — | 9 | 4 | no | — |
| 616 | #135 | — | 9 | 2 | no | — |
| 617 | #135 | — | 9 | 2 | no | — |
| 618 | #135 | — | 18 | 4 | no | — |
| 619 | #135 | — | 18 | 4 | no | — |
| 620 | #135 | — | 18 | 8 | no | — |
| 621 | #135 | — | 18 | 8 | no | — |
| 622 | #135 | — | 18 | 4 | no | — |
| 623 | #135 | C22×D9 | 1 | 2 | yes | — |
| 624 | C2×Q16 | — | 9 | 2 | no | — |
| 625 | C2×SD16 | — | 9 | 4 | no | — |
| 626 | C2×SD16 | — | 18 | 8 | no | — |
| 627 | C2×D8 | — | 2 | 4 | no | — |
| 628 | C2×D8 | — | 9 | 2 | no | — |
| 629 | C2×D8 | — | 9 | 8 | no | — |
| 630 | C2×D8 | — | 9 | 4 | no | — |
| 631 | C2×D8 | — | 18 | 4 | no | — |
| 632 | C2×D8 | — | 18 | 4 | no | — |
| 633 | C2×D8 | — | 18 | 4 | no | — |
| 634 | C2×D8 | — | 18 | 4 | no | — |
| 635 | C2×D8 | — | 18 | 4 | no | — |
| 636 | C2×D8 | — | 18 | 8 | no | — |
| 637 | C2×D8 | — | 18 | 4 | no | — |
| 638 | C2×D8 | — | 18 | 8 | no | — |
| 639 | C2×D8 | — | 18 | 8 | no | — |
| 640 | C2×D8 | — | 18 | 4 | no | — |
| 641 | C2×D8 | C22×D9 | 1 | 4 | yes | complemented |
| 642 | #131 | — | 9 | 4 | no | — |
| 643 | #131 | — | 9 | 4 | no | — |
| 644 | #131 | — | 9 | 4 | no | — |
| 645 | #131 | — | 18 | 4 | no | — |
| 646 | #131 | — | 18 | 4 | no | — |
| 647 | #131 | C22×D9 | 1 | 4 | yes | complemented |
| 648 | C2×M16 | — | 9 | 4 | no | — |
| 649 | C2×M16 | — | 18 | 4 | no | — |
| 650 | C22×C8 | — | 9 | 2 | no | — |
| 651 | C22×C8 | — | 18 | 4 | no | — |
| 652 | #127 | — | 9 | 4 | no | — |
| 653 | #127 | — | 9 | 2 | no | — |
| 654 | #127 | — | 36 | 2 | no | — |
| 655 | #127 | C22×D9 | 1 | 2 | yes | complemented |
| 656 | C2×C42 | — | 9 | 1 | no | — |
| 657 | #108 | — | 9 | 4 | no | — |
| 658 | #108 | — | 9 | 2 | no | — |
| 659 | #108 | C22×D9 | 1 | 2 | yes | complemented |
| 660 | #104 | — | 9 | 4 | no | — |
| 661 | #104 | — | 9 | 4 | no | — |
| 662 | #104 | — | 9 | 4 | no | — |
| 663 | #104 | C22×D9 | 1 | 4 | yes | complemented |
| 664 | #100 | — | 9 | 4 | no | — |
| 665 | #100 | — | 9 | 8 | no | — |
| 666 | #100 | C22×D9 | 1 | 4 | yes | complemented |
| 667 | C4×C8 | — | 9 | 2 | no | — |
| 668 | C4×C8 | — | 9 | 1 | no | — |
| 669 | C4×C8 | C22×D9 | 1 | 1 | yes | characteristic, complemented |
| 670 | C23×C3 | — | 2 | 4 | no | — |
| 671 | C23×C3 | — | 4 | 4 | no | — |
| 672 | C22×D3 | — | 3 | 1 | no | — |
| 673 | C22×D3 | — | 6 | 4 | no | — |
| 674 | C22×D3 | — | 6 | 4 | no | — |
| 675 | C22×D3 | — | 12 | 4 | no | — |
| 676 | C22×D3 | — | 12 | 4 | no | — |
| 677 | C22×D3 | — | 12 | 4 | no | — |
| 678 | C22×D3 | — | 12 | 8 | no | — |
| 679 | C22×D3 | — | 24 | 8 | no | — |
| 680 | C22×D3 | — | 48 | 8 | no | — |
| 681 | C3×Q8 | C2×D3×D4 | 1 | 4 | yes | — |
| 682 | C3×D4 | — | 2 | 4 | no | — |
| 683 | C3×D4 | — | 2 | 8 | no | — |
| 684 | C3×D4 | — | 4 | 8 | no | — |
| 685 | C3×D4 | — | 8 | 4 | no | — |
| 686 | C3×D4 | C2×D3×D4 | 1 | 4 | yes | — |
| 687 | C2×C3×C4 | — | 2 | 1 | no | — |
| 688 | C2×C3×C4 | — | 2 | 4 | no | — |
| 689 | C2×C3×C4 | — | 4 | 4 | no | — |
| 690 | C2×C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 691 | #67 | — | 6 | 4 | no | — |
| 692 | #67 | — | 6 | 4 | no | — |
| 693 | #67 | — | 6 | 4 | no | — |
| 694 | #67 | — | 12 | 8 | no | — |
| 695 | #67 | — | 12 | 8 | no | — |
| 696 | #67 | — | 12 | 8 | no | — |
| 697 | #67 | — | 24 | 8 | no | — |
| 698 | C2×Dic3 | — | 3 | 1 | no | — |
| 699 | C2×Dic3 | — | 6 | 4 | no | — |
| 700 | C2×Dic3 | — | 6 | 1 | no | — |
| 701 | C2×Dic3 | — | 12 | 4 | no | — |
| 702 | D12 | — | 3 | 4 | no | — |
| 703 | D12 | — | 6 | 4 | no | — |
| 704 | D12 | — | 6 | 8 | no | — |
| 705 | D12 | — | 12 | 8 | no | — |
| 706 | D12 | — | 24 | 4 | no | — |
| 707 | C4×D3 | — | 3 | 2 | no | — |
| 708 | C4×D3 | — | 3 | 2 | no | — |
| 709 | C4×D3 | — | 6 | 4 | no | — |
| 710 | C4×D3 | — | 6 | 4 | no | — |
| 711 | C4×D3 | — | 6 | 4 | no | — |
| 712 | C4×D3 | — | 6 | 4 | no | — |
| 713 | C4×D3 | — | 12 | 8 | no | — |
| 714 | Dic6 | — | 3 | 4 | no | — |
| 715 | Dic6 | — | 6 | 4 | no | — |
| 716 | C3×C8 | — | 2 | 4 | no | — |
| 717 | C3×C8 | C2×D3×D4 | 1 | 2 | yes | — |
| 718 | C3×C8 | C2×D3×D4 | 1 | 2 | yes | — |
| 719 | C3⋊C8 | — | 3 | 2 | no | — |
| 720 | C3⋊C8 | — | 3 | 2 | no | — |
| 721 | C3⋊C8 | — | 6 | 4 | no | — |
| 722 | C2×C9 | — | 2 | 1 | no | — |
| 723 | C2×C9 | — | 4 | 4 | no | — |
| 724 | C2×C9 | — | 8 | 4 | no | — |
| 725 | C2×C9 | C2×D42 | 1 | 1 | yes | characteristic |
| 726 | D9 | — | 2 | 1 | no | — |
| 727 | D9 | — | 4 | 4 | no | — |
| 728 | D9 | — | 8 | 4 | no | — |
| 729 | D9 | #3292 | 1 | 2 | yes | direct product factor |
| 730 | C24 | — | 18 | 4 | no | — |
| 731 | C24 | — | 36 | 4 | no | — |
| 732 | #41 | — | 2 | 8 | no | — |
| 733 | #41 | — | 9 | 4 | no | — |
| 734 | #41 | — | 9 | 4 | no | — |
| 735 | #41 | — | 9 | 4 | no | — |
| 736 | #41 | — | 18 | 4 | no | — |
| 737 | #41 | — | 18 | 8 | no | — |
| 738 | #41 | — | 18 | 4 | no | — |
| 739 | #41 | — | 18 | 8 | no | — |
| 740 | #41 | — | 18 | 8 | no | — |
| 741 | #41 | — | 36 | 8 | no | — |
| 742 | #41 | — | 36 | 8 | no | — |
| 743 | #41 | C23×D9 | 1 | 4 | yes | — |
| 744 | C2×Q8 | — | 9 | 4 | no | — |
| 745 | C2×D4 | — | 2 | 8 | no | — |
| 746 | C2×D4 | — | 4 | 2 | no | — |
| 747 | C2×D4 | — | 4 | 4 | no | — |
| 748 | C2×D4 | — | 9 | 4 | no | — |
| 749 | C2×D4 | — | 9 | 4 | no | — |
| 750 | C2×D4 | — | 18 | 8 | no | — |
| 751 | C2×D4 | — | 18 | 8 | no | — |
| 752 | C2×D4 | — | 18 | 8 | no | — |
| 753 | C2×D4 | — | 18 | 4 | no | — |
| 754 | C2×D4 | — | 18 | 8 | no | — |
| 755 | C2×D4 | — | 18 | 4 | no | — |
| 756 | C2×D4 | — | 18 | 8 | no | — |
| 757 | C2×D4 | — | 36 | 2 | no | — |
| 758 | C2×D4 | — | 36 | 4 | no | — |
| 759 | C2×D4 | — | 36 | 8 | no | — |
| 760 | C2×D4 | — | 36 | 8 | no | — |
| 761 | C2×D4 | — | 36 | 8 | no | — |
| 762 | C2×D4 | — | 36 | 4 | no | — |
| 763 | C2×D4 | — | 36 | 8 | no | — |
| 764 | C2×D4 | — | 36 | 8 | no | — |
| 765 | C2×D4 | — | 36 | 4 | no | — |
| 766 | C2×D4 | — | 36 | 4 | no | — |
| 767 | C2×D4 | — | 72 | 8 | no | — |
| 768 | C2×D4 | C23×D9 | 1 | 4 | yes | — |
| 769 | C22×C4 | — | 9 | 1 | no | — |
| 770 | C22×C4 | — | 18 | 4 | no | — |
| 771 | C22×C4 | — | 18 | 1 | no | — |
| 772 | C22×C4 | — | 36 | 4 | no | — |
| 773 | Q16 | — | 9 | 4 | no | — |
| 774 | Q16 | — | 9 | 2 | no | — |
| 775 | Q16 | D4×D9 | 1 | 2 | yes | complemented |
| 776 | SD16 | — | 2 | 8 | no | — |
| 777 | SD16 | — | 9 | 4 | no | — |
| 778 | SD16 | — | 9 | 4 | no | — |
| 779 | SD16 | — | 9 | 4 | no | — |
| 780 | SD16 | — | 18 | 8 | no | — |
| 781 | SD16 | — | 18 | 8 | no | — |
| 782 | SD16 | — | 18 | 8 | no | — |
| 783 | SD16 | D4×D9 | 1 | 4 | yes | complemented |
| 784 | D8 | — | 2 | 8 | no | — |
| 785 | D8 | — | 2 | 4 | no | — |
| 786 | D8 | — | 2 | 4 | no | — |
| 787 | D8 | — | 9 | 4 | no | — |
| 788 | D8 | — | 9 | 2 | no | — |
| 789 | D8 | — | 18 | 8 | no | — |
| 790 | D8 | — | 18 | 8 | no | — |
| 791 | D8 | — | 18 | 8 | no | — |
| 792 | D8 | — | 18 | 8 | no | — |
| 793 | D8 | — | 18 | 8 | no | — |
| 794 | D8 | — | 18 | 4 | no | — |
| 795 | D8 | — | 18 | 4 | no | — |
| 796 | D8 | D4×D9 | 1 | 2 | yes | complemented |
| 797 | M16 | — | 2 | 4 | no | — |
| 798 | M16 | — | 9 | 4 | no | — |
| 799 | M16 | — | 18 | 4 | no | — |
| 800 | M16 | — | 18 | 4 | no | — |
| 801 | M16 | — | 18 | 4 | no | — |
| 802 | M16 | — | 18 | 4 | no | — |
| 803 | M16 | C23×D9 | 1 | 4 | yes | — |
| 804 | C2×C8 | — | 2 | 4 | no | — |
| 805 | C2×C8 | — | 9 | 2 | no | — |
| 806 | C2×C8 | — | 9 | 2 | no | — |
| 807 | C2×C8 | — | 9 | 2 | no | — |
| 808 | C2×C8 | — | 9 | 2 | no | — |
| 809 | C2×C8 | — | 9 | 2 | no | — |
| 810 | C2×C8 | — | 18 | 4 | no | — |
| 811 | C2×C8 | — | 18 | 4 | no | — |
| 812 | C2×C8 | — | 18 | 4 | no | — |
| 813 | C2×C8 | — | 18 | 4 | no | — |
| 814 | C2×C8 | C23×D9 | 1 | 2 | yes | — |
| 815 | C42 | — | 9 | 1 | no | — |
| 816 | C42 | — | 18 | 1 | no | — |
| 817 | C42 | C23×D9 | 1 | 1 | yes | characteristic |
| 818 | C22×C3 | — | 2 | 4 | no | — |
| 819 | C22×C3 | — | 4 | 4 | no | — |
| 820 | C22×C3 | — | 8 | 4 | no | — |
| 821 | C22×C3 | — | 16 | 4 | no | — |
| 822 | C22×C3 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 823 | C2×D3 | — | 3 | 1 | no | — |
| 824 | C2×D3 | — | 3 | 1 | no | — |
| 825 | C2×D3 | — | 6 | 2 | no | — |
| 826 | C2×D3 | — | 6 | 4 | no | — |
| 827 | C2×D3 | — | 12 | 8 | no | — |
| 828 | C2×D3 | — | 12 | 4 | no | — |
| 829 | C2×D3 | — | 24 | 8 | no | — |
| 830 | C2×D3 | — | 24 | 4 | no | — |
| 831 | C2×D3 | — | 48 | 4 | no | — |
| 832 | C2×D3 | — | 48 | 4 | no | — |
| 833 | C2×D3 | — | 48 | 8 | no | — |
| 834 | C3×C4 | — | 2 | 2 | no | — |
| 835 | C3×C4 | — | 2 | 4 | no | — |
| 836 | C3×C4 | C22×D3×D4 | 1 | 2 | yes | — |
| 837 | Dic3 | — | 3 | 2 | no | — |
| 838 | Dic3 | — | 6 | 2 | no | — |
| 839 | Dic3 | — | 6 | 4 | no | — |
| 840 | C9 | C2×#3292 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 841 | C23 | — | 2 | 4 | no | — |
| 842 | C23 | — | 4 | 4 | no | — |
| 843 | C23 | — | 9 | 1 | no | — |
| 844 | C23 | — | 18 | 4 | no | — |
| 845 | C23 | — | 18 | 4 | no | — |
| 846 | C23 | — | 36 | 8 | no | — |
| 847 | C23 | — | 36 | 4 | no | — |
| 848 | C23 | — | 36 | 4 | no | — |
| 849 | C23 | — | 36 | 4 | no | — |
| 850 | C23 | — | 72 | 8 | no | — |
| 851 | C23 | — | 144 | 8 | no | — |
| 852 | Q8 | — | 9 | 4 | no | — |
| 853 | Q8 | — | 18 | 4 | no | — |
| 854 | Q8 | C2×D4×D9 | 1 | 4 | yes | — |
| 855 | D4 | — | 2 | 4 | no | — |
| 856 | D4 | — | 2 | 8 | no | — |
| 857 | D4 | — | 4 | 8 | no | — |
| 858 | D4 | — | 8 | 4 | no | — |
| 859 | D4 | — | 9 | 4 | no | — |
| 860 | D4 | — | 18 | 4 | no | — |
| 861 | D4 | — | 18 | 4 | no | — |
| 862 | D4 | — | 18 | 4 | no | — |
| 863 | D4 | — | 18 | 4 | no | — |
| 864 | D4 | — | 18 | 8 | no | — |
| 865 | D4 | — | 36 | 8 | no | — |
| 866 | D4 | — | 36 | 8 | no | — |
| 867 | D4 | — | 36 | 8 | no | — |
| 868 | D4 | — | 36 | 8 | no | — |
| 869 | D4 | — | 72 | 4 | no | — |
| 870 | D4 | — | 72 | 8 | no | — |
| 871 | D4 | C2×D4×D9 | 1 | 4 | yes | — |
| 872 | C2×C4 | — | 2 | 1 | no | — |
| 873 | C2×C4 | — | 2 | 4 | no | — |
| 874 | C2×C4 | — | 4 | 4 | no | — |
| 875 | C2×C4 | — | 9 | 1 | no | — |
| 876 | C2×C4 | — | 9 | 2 | no | — |
| 877 | C2×C4 | — | 9 | 2 | no | — |
| 878 | C2×C4 | — | 18 | 4 | no | — |
| 879 | C2×C4 | — | 18 | 4 | no | — |
| 880 | C2×C4 | — | 18 | 4 | no | — |
| 881 | C2×C4 | — | 18 | 4 | no | — |
| 882 | C2×C4 | — | 18 | 1 | no | — |
| 883 | C2×C4 | — | 18 | 4 | no | — |
| 884 | C2×C4 | — | 36 | 8 | no | — |
| 885 | C2×C4 | — | 36 | 4 | no | — |
| 886 | C2×C4 | C24×D9 | 1 | 1 | yes | characteristic |
| 887 | C8 | — | 2 | 4 | no | — |
| 888 | C8 | — | 9 | 2 | no | — |
| 889 | C8 | — | 9 | 2 | no | — |
| 890 | C8 | — | 18 | 4 | no | — |
| 891 | C8 | C2×D4×D9 | 1 | 2 | yes | — |
| 892 | C8 | C2×D4×D9 | 1 | 2 | yes | — |
| 893 | C2×C3 | — | 2 | 1 | no | — |
| 894 | C2×C3 | — | 4 | 4 | no | — |
| 895 | C2×C3 | — | 8 | 4 | no | — |
| 896 | C2×C3 | D3×D42 | 1 | 1 | yes | characteristic |
| 897 | D3 | — | 3 | 2 | no | — |
| 898 | D3 | — | 6 | 1 | no | — |
| 899 | D3 | — | 12 | 4 | no | — |
| 900 | D3 | — | 24 | 4 | no | — |
| 901 | C22 | — | 2 | 4 | no | — |
| 902 | C22 | — | 4 | 4 | no | — |
| 903 | C22 | — | 8 | 4 | no | — |
| 904 | C22 | — | 9 | 1 | no | — |
| 905 | C22 | — | 9 | 1 | no | — |
| 906 | C22 | — | 16 | 4 | no | — |
| 907 | C22 | — | 18 | 2 | no | — |
| 908 | C22 | — | 18 | 4 | no | — |
| 909 | C22 | — | 36 | 8 | no | — |
| 910 | C22 | — | 36 | 4 | no | — |
| 911 | C22 | — | 72 | 4 | no | — |
| 912 | C22 | — | 72 | 8 | no | — |
| 913 | C22 | — | 144 | 8 | no | — |
| 914 | C22 | — | 144 | 4 | no | — |
| 915 | C22 | — | 144 | 4 | no | — |
| 916 | C22 | D9×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 917 | C4 | — | 2 | 2 | no | — |
| 918 | C4 | — | 2 | 4 | no | — |
| 919 | C4 | — | 9 | 2 | no | — |
| 920 | C4 | — | 18 | 2 | no | — |
| 921 | C4 | — | 18 | 4 | no | — |
| 922 | C4 | C22×D4×D9 | 1 | 2 | yes | — |
| 923 | C3 | D3×#3292 | 1 | 1 | yes | characteristic |
| 924 | C2 | — | 2 | 1 | no | — |
| 925 | C2 | — | 4 | 4 | no | — |
| 926 | C2 | — | 8 | 4 | no | — |
| 927 | C2 | — | 9 | 2 | no | — |
| 928 | C2 | — | 18 | 1 | no | — |
| 929 | C2 | — | 36 | 4 | no | — |
| 930 | C2 | — | 72 | 4 | no | — |
| 931 | C2 | D42×D9 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D9×#576 | C2 | semidirect |
| 2. #11886903 | C2 | semidirect |
| 3. #11886900 | C2 | semidirect |
| 4. #11886897 | C2 | semidirect |
| 5. #11886894 | C2 | semidirect |
| 6. #11886891 | C2 | semidirect |
| 7. D9×#493 | C2 | semidirect |
| 8. D9×#472 | C2 | semidirect |
| 9. D9×#453 | C2 | semidirect |
| 10. D9×#443 | C2 | semidirect |
| 11. C9×#3292 | C2 | semidirect |
| 13. D9×H(5,𝔽2) | C22 | semidirect |
| 14. C9×#576 | C22 | semidirect |
| 15. #10589937 | C22 | semidirect |
| 17. #10589876 | C22 | semidirect |
| 19. D9×AGL(1,ℤ/8) | C22 | semidirect |
| 21. #10589871 | C22 | semidirect |
| 25. #10589859 | C22 | semidirect |
| 27. C2×D8×D9 | C22 | semidirect |
| 28. #10589854 | C22 | semidirect |
| 29. D9×#131 | C22 | semidirect |
| 30. D9×#127 | C22 | semidirect |
| 31. C9×#493 | C22 | semidirect |
| 32. C9×#472 | C22 | semidirect |
| 33. C9×#453 | C22 | semidirect |
| 34. C9×#443 | C22 | semidirect |
| 35. #10588922 | C22 | semidirect |
| 36. #10588880 | C22 | semidirect |
| 37. #10588879 | C22 | semidirect |
| 38. #10588876 | C22 | semidirect |
| 39. #10588840 | C22 | semidirect |
| 40. #10588831 | C22 | semidirect |
| 41. #10588824 | C22 | semidirect |
| 42. #10588823 | C22 | semidirect |
| 43. #10588757 | C22 | semidirect |
| 44. #10588755 | C22 | semidirect |
| 45. #10588577 | C22 | semidirect |
| 46. #10588575 | C22 | semidirect |
| 47. D9×#108 | C22 | semidirect |
| 48. #10588504 | C22 | semidirect |
| 49. #10588502 | C22 | semidirect |
| 50. D9×#104 | C22 | semidirect |
| 51. #10588429 | C22 | semidirect |
| 52. #10588427 | C22 | semidirect |
| 53. D9×#100 | C22 | semidirect |
| 54. #10588380 | C22 | semidirect |
| 55. #10588377 | C22 | semidirect |
| 56. C4×C8×D9 | C22 | semidirect |
| 68. C9×H(5,𝔽2) | C23 | semidirect |
| 70. #63715 | C23 | semidirect |
| 75. #63710 | C23 | semidirect |
| 81. C9×AGL(1,ℤ/8) | C23 | semidirect |
| 85. C2×C9×D8 | C23 | semidirect |
| 86. C9×#131 | C23 | semidirect |
| 87. C9×#127 | C23 | semidirect |
| 91. #63512 | C23 | semidirect |
| 92. #63510 | C23 | semidirect |
| 94. #63502 | C23 | semidirect |
| 96. #63495 | C23 | semidirect |
| 98. C2×#3673 | C23 | semidirect |
| 100. #63481 | D4 | semidirect |
| 101. Q16×D9 | D4 | semidirect |
| 103. #63478 | D4 | semidirect |
| 108. SD16×D9 | D4 | semidirect |
| 110. #63474 | D4 | semidirect |
| 122. D8×D9 | D4 | semidirect |
| 124. #63470 | C23 | semidirect |
| 126. #63469 | C23 | semidirect |
| 132. C2×D72 | C23 | semidirect |
| 134. #63464 | C23 | semidirect |
| 137. #63436 | C23 | semidirect |
| 139. C9×#108 | C23 | semidirect |
| 140. C9×#104 | C23 | semidirect |
| 141. C9×#100 | C23 | semidirect |
| 142. C4×C8×C9 | C23 | semidirect |
| 143. #63396 | C23 | semidirect |
| 144. #63391 | C23 | semidirect |
| 145. #63384 | C23 | semidirect |
| 146. #63383 | C23 | semidirect |
| 147. #63381 | C23 | semidirect |
| 148. C8×Dic9 | C23 | semidirect |
| 149. #63372 | C23 | semidirect |
| 150. #63364 | C23 | semidirect |
| 151. C4×C9⋊C8 | C23 | semidirect |
| 240. C9×Q16 | C2×D4 | semidirect |
| 242. C9×SD16 | C2×D4 | semidirect |
| 246. C9×D8 | C2×D4 | semidirect |
| 253. #3675 | C2×D4 | semidirect |
| 254. #3674 | C2×D4 | semidirect |
| 259. #3673 | C2×D4 | semidirect |
| 261. #3672 | C2×D4 | semidirect |
| 271. D72 | C2×D4 | semidirect |
| 273. #3664 | C2×D4 | semidirect |
| 284. Dic36 | C2×D4 | semidirect |
| 291. #3292 | D9 | direct (N × H) |
| 441. #576 | C2×D9 | semidirect |
| 453. #493 | C2×D9 | semidirect |
| 459. #472 | C2×D9 | semidirect |
| 465. #453 | C2×D9 | semidirect |
| 471. #443 | C2×D9 | semidirect |
| 591. H(5,𝔽2) | C22×D9 | semidirect |
| 611. AGL(1,ℤ/8) | C22×D9 | semidirect |
| 641. C2×D8 | C22×D9 | semidirect |
| 647. #131 | C22×D9 | semidirect |
| 655. #127 | C22×D9 | semidirect |
| 659. #108 | C22×D9 | semidirect |
| 663. #104 | C22×D9 | semidirect |
| 666. #100 | C22×D9 | semidirect |
| 669. C4×C8 | C22×D9 | semidirect |
| 729. D9 | #3292 | direct (N × H) |
| 775. Q16 | D4×D9 | semidirect |
| 783. SD16 | D4×D9 | semidirect |
| 796. D8 | D4×D9 | semidirect |
| 840. C9 | C2×#3292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D9×#576 | 2 |
| #11886903 | 2 |
| #11886900 | 2 |
| #11886897 | 2 |
| #11886894 | 2 |
| #11886891 | 2 |
| D9×#493 | 2 |
| D9×#472 | 2 |
| D9×#453 | 2 |
| D9×#443 | 2 |
| C9×#3292 | 2 |
| D3×#3292 | 3 |