Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
10836 conjugacy classes of subgroups.
The subgroup lattice has 1236 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D3×#585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5968 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#3586 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #87298 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #87287 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #87211 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | #87210 | C2 | 1 | 8 | yes | maximal, complemented |
| 8 | #87207 | C2 | 1 | 8 | yes | maximal, complemented |
| 9 | #87206 | C2 | 1 | 8 | yes | maximal, complemented |
| 10 | #87200 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | D3×#575 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #87197 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | C2×#5777 | C2 | 1 | 6 | yes | maximal, complemented |
| 14 | #87167 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | D3×#568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #63090 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C3×#585 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×C3×2−1+4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #5968 | — | 2 | 4 | no | — |
| 20 | #5968 | — | 2 | 4 | no | — |
| 21 | #5968 | — | 2 | 1 | no | — |
| 22 | #5968 | C22 | 1 | 8 | yes | complemented |
| 23 | #5968 | C22 | 1 | 8 | yes | complemented |
| 24 | #5968 | C22 | 1 | 4 | yes | complemented |
| 25 | D3×2−1+4 | — | 2 | 1 | no | — |
| 26 | D3×2−1+4 | C22 | 1 | 4 | yes | complemented |
| 27 | #5966 | — | 2 | 3 | no | — |
| 28 | #5966 | C22 | 1 | 4 | yes | complemented |
| 29 | D3×H(5,𝔽2) | — | 2 | 3 | no | — |
| 30 | D3×H(5,𝔽2) | C22 | 1 | 4 | yes | complemented |
| 31 | #5964 | — | 2 | 4 | no | — |
| 32 | #5964 | C22 | 1 | 6 | yes | complemented |
| 33 | #5964 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#1009 | — | 2 | 3 | no | — |
| 35 | C2×#1009 | C22 | 1 | 3 | yes | complemented |
| 36 | C2×#1009 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×D3×#41 | — | 2 | 4 | no | — |
| 38 | C2×D3×#41 | — | 2 | 3 | no | — |
| 39 | C2×D3×#41 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×D3×#41 | C22 | 1 | 6 | yes | complemented |
| 41 | C2×D3×#41 | C22 | 1 | 3 | yes | complemented |
| 42 | C2×#1007 | — | 2 | 1 | no | — |
| 43 | C2×#1007 | C22 | 1 | 3 | yes | complemented |
| 44 | C22×#239 | — | 2 | 1 | no | — |
| 45 | C22×#239 | C22 | 1 | 3 | yes | complemented |
| 46 | C3×#578 | C22 | 1 | 8 | yes | complemented |
| 47 | C3×#577 | C22 | 1 | 8 | yes | complemented |
| 48 | C3×#575 | C22 | 1 | 6 | yes | complemented |
| 49 | C2×C3×#137 | C22 | 1 | 6 | yes | complemented |
| 50 | C3×#568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #5838 | C22 | 1 | 8 | yes | complemented |
| 52 | #5837 | C22 | 1 | 8 | yes | complemented |
| 53 | #5837 | C22 | 1 | 8 | yes | complemented |
| 54 | #5835 | C22 | 1 | 8 | yes | complemented |
| 55 | #5822 | C22 | 1 | 6 | yes | complemented |
| 56 | #5822 | C22 | 1 | 6 | yes | complemented |
| 57 | C2×#949 | C22 | 1 | 6 | yes | complemented |
| 58 | #5819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C2×#942 | C22 | 1 | 6 | yes | complemented |
| 60 | #5779 | C22 | 1 | 24 | yes | complemented |
| 61 | #5778 | C22 | 1 | 24 | yes | complemented |
| 62 | #5778 | C22 | 1 | 24 | yes | complemented |
| 63 | #5777 | C22 | 1 | 12 | yes | complemented |
| 64 | #5777 | C22 | 1 | 24 | yes | complemented |
| 65 | #5777 | C22 | 1 | 24 | yes | complemented |
| 66 | #5777 | C22 | 1 | 24 | yes | complemented |
| 67 | #5777 | C22 | 1 | 12 | yes | complemented |
| 68 | D3×#137 | C22 | 1 | 12 | yes | complemented |
| 69 | D3×#137 | C22 | 1 | 12 | yes | complemented |
| 70 | #5774 | C22 | 1 | 24 | yes | complemented |
| 71 | #5773 | C22 | 1 | 4 | yes | complemented |
| 72 | #5773 | C22 | 1 | 12 | yes | complemented |
| 73 | D3×AGL(1,ℤ/8) | C22 | 1 | 12 | yes | complemented |
| 74 | D3×AGL(1,ℤ/8) | C22 | 1 | 12 | yes | complemented |
| 75 | #5770 | C22 | 1 | 24 | yes | complemented |
| 76 | #5769 | C22 | 1 | 24 | yes | complemented |
| 77 | #5768 | C22 | 1 | 24 | yes | complemented |
| 78 | D3×#135 | C22 | 1 | 24 | yes | complemented |
| 79 | #5766 | C22 | 1 | 24 | yes | complemented |
| 80 | C2×#919 | C22 | 1 | 12 | yes | complemented |
| 81 | C2×#918 | C22 | 1 | 12 | yes | complemented |
| 82 | #5762 | C22 | 1 | 24 | yes | complemented |
| 83 | C2×#916 | C22 | 1 | 12 | yes | complemented |
| 84 | C2×#914 | C22 | 1 | 12 | yes | complemented |
| 85 | #5752 | C22 | 1 | 8 | yes | complemented |
| 86 | #5751 | C22 | 1 | 8 | yes | complemented |
| 87 | #5750 | C22 | 1 | 8 | yes | complemented |
| 88 | D3×#131 | C22 | 1 | 8 | yes | complemented |
| 89 | #5748 | C22 | 1 | 6 | yes | complemented |
| 90 | C2×#908 | C22 | 1 | 6 | yes | complemented |
| 91 | #5745 | C22 | 1 | 6 | yes | complemented |
| 92 | C2×D3×M16 | C22 | 1 | 6 | yes | complemented |
| 93 | C2×#585 | — | 3 | 1 | no | — |
| 94 | C2×#585 | — | 3 | 1 | no | — |
| 95 | #3586 | — | 3 | 1 | no | — |
| 96 | #3586 | — | 3 | 8 | no | — |
| 97 | #3586 | — | 3 | 6 | no | — |
| 98 | #3586 | D3 | 1 | 1 | yes | characteristic, complemented |
| 99 | #3585 | — | 3 | 1 | no | — |
| 100 | #3585 | — | 3 | 8 | no | — |
| 101 | #3585 | — | 3 | 6 | no | — |
| 102 | #3585 | — | 3 | 1 | no | — |
| 103 | #3584 | — | 3 | 8 | no | — |
| 104 | #3584 | — | 3 | 8 | no | — |
| 105 | C2×#575 | — | 3 | 6 | no | — |
| 106 | C2×#575 | — | 3 | 6 | no | — |
| 107 | C2×#568 | — | 3 | 1 | no | — |
| 108 | C3×2−1+4 | — | 2 | 4 | no | — |
| 109 | C3×2−1+4 | — | 2 | 1 | no | — |
| 110 | C3×2−1+4 | C23 | 1 | 8 | yes | complemented |
| 111 | C3×2−1+4 | C23 | 1 | 4 | yes | complemented |
| 112 | C3×H(5,𝔽2) | — | 2 | 3 | no | — |
| 113 | C3×H(5,𝔽2) | C23 | 1 | 4 | yes | complemented |
| 114 | C2×C3×#41 | — | 2 | 4 | no | — |
| 115 | C2×C3×#41 | — | 2 | 3 | no | — |
| 116 | C2×C3×#41 | C23 | 1 | 6 | yes | — |
| 117 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 118 | C2×C3×#41 | C23 | 1 | 3 | yes | complemented |
| 119 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 120 | C22×C3×Q8 | C23 | 1 | 3 | yes | complemented |
| 121 | #1010 | — | 2 | 4 | no | — |
| 122 | #1010 | — | 2 | 12 | no | — |
| 123 | #1010 | — | 2 | 6 | no | — |
| 124 | #1010 | C23 | 1 | 12 | yes | complemented |
| 125 | #1010 | C23 | 1 | 4 | yes | complemented |
| 126 | #1009 | — | 2 | 4 | no | — |
| 127 | #1009 | — | 2 | 4 | no | — |
| 128 | #1009 | — | 2 | 24 | no | — |
| 129 | #1009 | — | 2 | 24 | no | — |
| 130 | #1009 | — | 2 | 12 | no | — |
| 131 | #1009 | — | 2 | 12 | no | — |
| 132 | #1009 | — | 2 | 6 | no | — |
| 133 | #1009 | C23 | 1 | 24 | yes | complemented |
| 134 | #1009 | C23 | 1 | 12 | yes | complemented |
| 135 | #1009 | C23 | 1 | 8 | yes | complemented |
| 136 | #1009 | C23 | 1 | 4 | yes | complemented |
| 137 | D3×#41 | — | 2 | 4 | no | — |
| 138 | D3×#41 | — | 2 | 4 | no | — |
| 139 | D3×#41 | — | 2 | 4 | no | — |
| 140 | D3×#41 | — | 2 | 12 | no | — |
| 141 | D3×#41 | — | 2 | 24 | no | — |
| 142 | D3×#41 | — | 2 | 24 | no | — |
| 143 | D3×#41 | — | 2 | 12 | no | — |
| 144 | D3×#41 | — | 2 | 12 | no | — |
| 145 | D3×#41 | — | 2 | 6 | no | — |
| 146 | D3×#41 | — | 2 | 6 | no | — |
| 147 | D3×#41 | — | 2 | 6 | no | — |
| 148 | D3×#41 | — | 2 | 6 | no | — |
| 149 | D3×#41 | — | 2 | 6 | no | — |
| 150 | D3×#41 | — | 2 | 6 | no | — |
| 151 | D3×#41 | D4 | 1 | 4 | yes | — |
| 152 | D3×#41 | D4 | 1 | 4 | yes | — |
| 153 | D3×#41 | C23 | 1 | 4 | yes | — |
| 154 | D3×#41 | C23 | 1 | 12 | yes | — |
| 155 | D3×#41 | C23 | 1 | 12 | yes | — |
| 156 | D3×#41 | C23 | 1 | 4 | yes | — |
| 157 | D3×#41 | C23 | 1 | 4 | yes | — |
| 158 | D3×#41 | C23 | 1 | 12 | yes | complemented |
| 159 | D3×#41 | C23 | 1 | 12 | yes | complemented |
| 160 | D3×#41 | C23 | 1 | 12 | yes | complemented |
| 161 | #1007 | — | 2 | 1 | no | — |
| 162 | #1007 | — | 2 | 4 | no | — |
| 163 | #1007 | — | 2 | 8 | no | — |
| 164 | #1007 | — | 2 | 8 | no | — |
| 165 | #1007 | — | 2 | 4 | no | — |
| 166 | #1007 | — | 2 | 12 | no | — |
| 167 | #1007 | C23 | 1 | 24 | yes | complemented |
| 168 | #1007 | C23 | 1 | 12 | yes | complemented |
| 169 | C2×#239 | — | 2 | 1 | no | — |
| 170 | C2×#239 | — | 2 | 8 | no | — |
| 171 | C2×#239 | — | 2 | 8 | no | — |
| 172 | C2×#239 | — | 2 | 4 | no | — |
| 173 | C2×#239 | — | 2 | 3 | no | — |
| 174 | C2×#239 | — | 2 | 3 | no | — |
| 175 | C2×#239 | — | 2 | 3 | no | — |
| 176 | C2×#239 | — | 2 | 6 | no | — |
| 177 | C2×#239 | — | 2 | 6 | no | — |
| 178 | C2×#239 | D4 | 1 | 1 | yes | characteristic |
| 179 | C2×#239 | C23 | 1 | 3 | yes | — |
| 180 | C2×#239 | C23 | 1 | 12 | yes | — |
| 181 | C2×#239 | C23 | 1 | 6 | yes | complemented |
| 182 | C2×#239 | C23 | 1 | 12 | yes | complemented |
| 183 | C2×#239 | C23 | 1 | 6 | yes | complemented |
| 184 | C2×D3×Q8 | — | 2 | 4 | no | — |
| 185 | C2×D3×Q8 | — | 2 | 3 | no | — |
| 186 | C2×D3×Q8 | D4 | 1 | 1 | yes | characteristic |
| 187 | C2×D3×Q8 | C23 | 1 | 3 | yes | complemented |
| 188 | C2×D3×Q8 | C23 | 1 | 6 | yes | complemented |
| 189 | #1004 | — | 2 | 3 | no | — |
| 190 | #1004 | — | 2 | 12 | no | — |
| 191 | #1004 | — | 2 | 12 | no | — |
| 192 | #1004 | — | 2 | 12 | no | — |
| 193 | #1004 | C23 | 1 | 12 | yes | complemented |
| 194 | C2×#237 | — | 2 | 3 | no | — |
| 195 | C2×#237 | — | 2 | 6 | no | — |
| 196 | C2×#237 | — | 2 | 12 | no | — |
| 197 | C2×#237 | D4 | 1 | 3 | yes | — |
| 198 | C2×#237 | C23 | 1 | 1 | yes | characteristic |
| 199 | C2×#237 | C23 | 1 | 6 | yes | complemented |
| 200 | C2×D3×D4 | — | 2 | 3 | no | — |
| 201 | C2×D3×D4 | — | 2 | 6 | no | — |
| 202 | C2×D3×D4 | — | 2 | 3 | no | — |
| 203 | C2×D3×D4 | — | 2 | 6 | no | — |
| 204 | C2×D3×D4 | — | 2 | 12 | no | — |
| 205 | C2×D3×D4 | D4 | 1 | 3 | yes | — |
| 206 | C2×D3×D4 | C23 | 1 | 3 | yes | complemented |
| 207 | C2×D3×D4 | C23 | 1 | 6 | yes | complemented |
| 208 | C2×#235 | — | 2 | 6 | no | — |
| 209 | C2×#235 | — | 2 | 12 | no | — |
| 210 | C2×#235 | — | 2 | 3 | no | — |
| 211 | C2×#235 | — | 2 | 6 | no | — |
| 212 | C2×#235 | — | 2 | 3 | no | — |
| 213 | C2×#235 | C23 | 1 | 3 | yes | — |
| 214 | C2×#235 | C23 | 1 | 6 | yes | — |
| 215 | C2×#235 | C23 | 1 | 3 | yes | complemented |
| 216 | C22×D12 | — | 2 | 3 | no | — |
| 217 | C22×D12 | — | 2 | 3 | no | — |
| 218 | C22×D12 | C23 | 1 | 3 | yes | complemented |
| 219 | C22×C4×D3 | — | 2 | 3 | no | — |
| 220 | C22×C4×D3 | — | 2 | 3 | no | — |
| 221 | C22×C4×D3 | — | 2 | 6 | no | — |
| 222 | C22×C4×D3 | C23 | 1 | 3 | yes | — |
| 223 | C3×#137 | C23 | 1 | 12 | yes | complemented |
| 224 | C3×#137 | C23 | 1 | 24 | yes | complemented |
| 225 | C3×#137 | C23 | 1 | 12 | yes | complemented |
| 226 | C3×AGL(1,ℤ/8) | C23 | 1 | 4 | yes | complemented |
| 227 | C3×AGL(1,ℤ/8) | C23 | 1 | 12 | yes | complemented |
| 228 | C3×#135 | C23 | 1 | 24 | yes | complemented |
| 229 | C2×C3×Q16 | C23 | 1 | 12 | yes | complemented |
| 230 | C2×C3×SD16 | C23 | 1 | 12 | yes | complemented |
| 231 | C3×#131 | C23 | 1 | 8 | yes | complemented |
| 232 | C2×C3×M16 | C23 | 1 | 6 | yes | complemented |
| 233 | #951 | C23 | 1 | 12 | yes | complemented |
| 234 | #951 | C23 | 1 | 4 | yes | complemented |
| 235 | #950 | C23 | 1 | 24 | yes | complemented |
| 236 | #950 | C23 | 1 | 24 | yes | complemented |
| 237 | #949 | C23 | 1 | 12 | yes | complemented |
| 238 | #949 | C23 | 1 | 24 | yes | complemented |
| 239 | #949 | C23 | 1 | 12 | yes | complemented |
| 240 | #948 | C23 | 1 | 8 | yes | complemented |
| 241 | C2×#216 | C23 | 1 | 12 | yes | complemented |
| 242 | #942 | C23 | 1 | 24 | yes | complemented |
| 243 | #942 | C23 | 1 | 12 | yes | complemented |
| 244 | #942 | C23 | 1 | 12 | yes | complemented |
| 245 | C2×#215 | C23 | 1 | 12 | yes | complemented |
| 246 | C2×#215 | C23 | 1 | 12 | yes | complemented |
| 247 | #932 | C23 | 1 | 12 | yes | complemented |
| 248 | #932 | C23 | 1 | 4 | yes | complemented |
| 249 | C2×#213 | C23 | 1 | 12 | yes | complemented |
| 250 | C2×#208 | C23 | 1 | 6 | yes | complemented |
| 251 | #919 | C23 | 1 | 24 | yes | complemented |
| 252 | #919 | C23 | 1 | 48 | yes | complemented |
| 253 | #918 | C23 | 1 | 24 | yes | complemented |
| 254 | #918 | C23 | 1 | 48 | yes | complemented |
| 255 | #918 | C23 | 1 | 24 | yes | complemented |
| 256 | D3×Q16 | C23 | 1 | 24 | yes | complemented |
| 257 | #916 | C23 | 1 | 24 | yes | complemented |
| 258 | #916 | C23 | 1 | 48 | yes | complemented |
| 259 | #916 | C23 | 1 | 8 | yes | complemented |
| 260 | #915 | C23 | 1 | 24 | yes | complemented |
| 261 | #915 | C23 | 1 | 8 | yes | complemented |
| 262 | #914 | C23 | 1 | 24 | yes | complemented |
| 263 | #914 | C23 | 1 | 48 | yes | complemented |
| 264 | #914 | C23 | 1 | 24 | yes | complemented |
| 265 | D3×SD16 | C23 | 1 | 24 | yes | complemented |
| 266 | D3×SD16 | C23 | 1 | 24 | yes | complemented |
| 267 | #912 | C23 | 1 | 8 | yes | complemented |
| 268 | #911 | C23 | 1 | 8 | yes | complemented |
| 269 | #911 | C23 | 1 | 24 | yes | complemented |
| 270 | D3×D8 | C23 | 1 | 24 | yes | complemented |
| 271 | #909 | C23 | 1 | 4 | yes | complemented |
| 272 | #909 | C23 | 1 | 12 | yes | complemented |
| 273 | #908 | C23 | 1 | 12 | yes | complemented |
| 274 | #908 | C23 | 1 | 24 | yes | complemented |
| 275 | #908 | C23 | 1 | 12 | yes | complemented |
| 276 | #907 | C23 | 1 | 24 | yes | complemented |
| 277 | D3×M16 | C23 | 1 | 4 | yes | — |
| 278 | D3×M16 | C23 | 1 | 12 | yes | complemented |
| 279 | D3×M16 | C23 | 1 | 12 | yes | complemented |
| 280 | D3×M16 | C23 | 1 | 12 | yes | complemented |
| 281 | #904 | C23 | 1 | 24 | yes | complemented |
| 282 | C2×D24 | C23 | 1 | 12 | yes | complemented |
| 283 | C2×#204 | C23 | 1 | 12 | yes | complemented |
| 284 | #901 | C23 | 1 | 24 | yes | complemented |
| 285 | C2×ΓL(1,𝔽25) | C23 | 1 | 12 | yes | complemented |
| 286 | C2×D3×C8 | C23 | 1 | 12 | yes | complemented |
| 287 | #585 | — | 3 | 4 | no | — |
| 288 | #585 | — | 3 | 8 | no | — |
| 289 | #585 | — | 3 | 8 | no | — |
| 290 | #585 | — | 3 | 4 | no | — |
| 291 | #585 | — | 3 | 6 | no | — |
| 292 | #585 | — | 3 | 1 | no | — |
| 293 | #585 | — | 6 | 4 | no | — |
| 294 | #585 | — | 6 | 3 | no | — |
| 295 | #585 | — | 6 | 4 | no | — |
| 296 | #585 | — | 6 | 4 | no | — |
| 297 | #585 | — | 6 | 1 | no | — |
| 298 | #585 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 299 | C2×2−1+4 | — | 3 | 4 | no | — |
| 300 | C2×2−1+4 | — | 3 | 3 | no | — |
| 301 | C2×2−1+4 | — | 6 | 1 | no | — |
| 302 | C2×2−1+4 | — | 6 | 1 | no | — |
| 303 | C2×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 304 | C2×H(5,𝔽2) | — | 3 | 4 | no | — |
| 305 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 306 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 307 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 308 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 309 | C22×#41 | — | 3 | 1 | no | — |
| 310 | C22×#41 | — | 3 | 6 | no | — |
| 311 | C22×#41 | — | 3 | 3 | no | — |
| 312 | C22×#41 | — | 3 | 3 | no | — |
| 313 | C22×#41 | — | 6 | 1 | no | — |
| 314 | C22×#41 | — | 6 | 4 | no | — |
| 315 | C22×#41 | — | 6 | 3 | no | — |
| 316 | #578 | — | 3 | 8 | no | — |
| 317 | #578 | — | 3 | 24 | no | — |
| 318 | #578 | — | 3 | 24 | no | — |
| 319 | #578 | C2×D3 | 1 | 8 | yes | complemented |
| 320 | #577 | — | 3 | 8 | no | — |
| 321 | #577 | — | 3 | 8 | no | — |
| 322 | #577 | — | 3 | 24 | no | — |
| 323 | #577 | — | 3 | 24 | no | — |
| 324 | #577 | — | 3 | 24 | no | — |
| 325 | #577 | — | 3 | 24 | no | — |
| 326 | #577 | — | 3 | 8 | no | — |
| 327 | #577 | C2×D3 | 1 | 8 | yes | complemented |
| 328 | #576 | — | 3 | 8 | no | — |
| 329 | #576 | — | 3 | 24 | no | — |
| 330 | #576 | — | 3 | 24 | no | — |
| 331 | #576 | — | 3 | 8 | no | — |
| 332 | #575 | — | 3 | 6 | no | — |
| 333 | #575 | — | 3 | 6 | no | — |
| 334 | #575 | — | 3 | 12 | no | — |
| 335 | #575 | — | 3 | 24 | no | — |
| 336 | #575 | — | 3 | 24 | no | — |
| 337 | #575 | — | 3 | 24 | no | — |
| 338 | #575 | — | 3 | 12 | no | — |
| 339 | #575 | — | 3 | 12 | no | — |
| 340 | #575 | — | 3 | 4 | no | — |
| 341 | #575 | — | 3 | 24 | no | — |
| 342 | #575 | — | 3 | 6 | no | — |
| 343 | #575 | C2×D3 | 1 | 6 | yes | complemented |
| 344 | C2×#137 | — | 3 | 6 | no | — |
| 345 | C2×#137 | — | 3 | 12 | no | — |
| 346 | C2×#137 | — | 3 | 12 | no | — |
| 347 | C2×#137 | — | 3 | 12 | no | — |
| 348 | C2×#137 | C2×D3 | 1 | 6 | yes | complemented |
| 349 | C2×AGL(1,ℤ/8) | — | 3 | 6 | no | — |
| 350 | C2×AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 351 | C2×AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 352 | C2×AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 353 | C2×AGL(1,ℤ/8) | — | 3 | 6 | no | — |
| 354 | C2×#135 | — | 3 | 24 | no | — |
| 355 | C2×#135 | — | 3 | 12 | no | — |
| 356 | C2×#135 | — | 3 | 12 | no | — |
| 357 | #568 | — | 3 | 1 | no | — |
| 358 | #568 | — | 3 | 8 | no | — |
| 359 | #568 | — | 3 | 6 | no | — |
| 360 | #568 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 361 | C2×#131 | — | 3 | 8 | no | — |
| 362 | C22×M16 | — | 3 | 6 | no | — |
| 363 | C23×D3 | — | 2 | 3 | no | — |
| 364 | C23×D3 | — | 2 | 3 | no | — |
| 365 | C23×D3 | — | 2 | 6 | no | — |
| 366 | C23×D3 | C2×D4 | 1 | 3 | yes | — |
| 367 | C3×#41 | — | 2 | 4 | no | — |
| 368 | C3×#41 | — | 2 | 24 | no | — |
| 369 | C3×#41 | — | 2 | 12 | no | — |
| 370 | C3×#41 | — | 2 | 6 | no | — |
| 371 | C3×#41 | — | 2 | 6 | no | — |
| 372 | C3×#41 | — | 2 | 6 | no | — |
| 373 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 374 | C3×#41 | C24 | 1 | 4 | yes | — |
| 375 | C3×#41 | C24 | 1 | 12 | yes | — |
| 376 | C3×#41 | C24 | 1 | 12 | yes | — |
| 377 | C3×#41 | C24 | 1 | 4 | yes | — |
| 378 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 379 | C2×C3×Q8 | — | 2 | 8 | no | — |
| 380 | C2×C3×Q8 | — | 2 | 3 | no | — |
| 381 | C2×C3×Q8 | — | 2 | 6 | no | — |
| 382 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 383 | C2×C3×Q8 | C24 | 1 | 6 | yes | — |
| 384 | C2×C3×Q8 | C24 | 1 | 12 | yes | — |
| 385 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 386 | C2×C3×D4 | — | 2 | 3 | no | — |
| 387 | C2×C3×D4 | — | 2 | 6 | no | — |
| 388 | C2×C3×D4 | — | 2 | 12 | no | — |
| 389 | C2×C3×D4 | C2×D4 | 1 | 3 | yes | — |
| 390 | C2×C3×D4 | C24 | 1 | 6 | yes | — |
| 391 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 392 | C22×C3×C4 | — | 2 | 3 | no | — |
| 393 | C22×C3×C4 | — | 2 | 3 | no | — |
| 394 | C22×C3×C4 | — | 2 | 6 | no | — |
| 395 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 396 | C2×#67 | — | 2 | 3 | no | — |
| 397 | C2×#67 | — | 2 | 6 | no | — |
| 398 | C2×#67 | — | 2 | 1 | no | — |
| 399 | C2×#67 | — | 2 | 6 | no | — |
| 400 | C2×#67 | — | 2 | 24 | no | — |
| 401 | C2×#67 | — | 2 | 3 | no | — |
| 402 | C2×#67 | — | 2 | 6 | no | — |
| 403 | C2×#67 | C2×D4 | 1 | 6 | yes | — |
| 404 | C22×Dic3 | — | 2 | 1 | no | — |
| 405 | C22×Dic3 | — | 2 | 6 | no | — |
| 406 | C22×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 407 | #239 | — | 2 | 8 | no | — |
| 408 | #239 | — | 2 | 4 | no | — |
| 409 | #239 | — | 2 | 24 | no | — |
| 410 | #239 | — | 2 | 12 | no | — |
| 411 | #239 | — | 2 | 3 | no | — |
| 412 | #239 | — | 2 | 12 | no | — |
| 413 | #239 | — | 2 | 3 | no | — |
| 414 | #239 | — | 2 | 12 | no | — |
| 415 | #239 | — | 2 | 12 | no | — |
| 416 | #239 | — | 2 | 12 | no | — |
| 417 | #239 | — | 2 | 12 | no | — |
| 418 | #239 | — | 2 | 6 | no | — |
| 419 | #239 | — | 2 | 6 | no | — |
| 420 | #239 | C2×D4 | 1 | 4 | yes | — |
| 421 | #239 | C2×D4 | 1 | 4 | yes | — |
| 422 | #239 | C24 | 1 | 6 | yes | — |
| 423 | #239 | C24 | 1 | 24 | yes | — |
| 424 | #239 | C24 | 1 | 12 | yes | — |
| 425 | #239 | C24 | 1 | 6 | yes | — |
| 426 | #239 | C24 | 1 | 4 | yes | — |
| 427 | D3×Q8 | — | 2 | 4 | no | — |
| 428 | D3×Q8 | — | 2 | 6 | no | — |
| 429 | D3×Q8 | — | 2 | 6 | no | — |
| 430 | D3×Q8 | — | 2 | 6 | no | — |
| 431 | D3×Q8 | — | 2 | 24 | no | — |
| 432 | D3×Q8 | — | 2 | 12 | no | — |
| 433 | D3×Q8 | C2×D4 | 1 | 4 | yes | — |
| 434 | D3×Q8 | C2×D4 | 1 | 4 | yes | — |
| 435 | D3×Q8 | C24 | 1 | 12 | yes | — |
| 436 | D3×Q8 | C24 | 1 | 12 | yes | — |
| 437 | D3×Q8 | C24 | 1 | 4 | yes | — |
| 438 | #237 | — | 2 | 12 | no | — |
| 439 | #237 | — | 2 | 24 | no | — |
| 440 | #237 | — | 2 | 4 | no | — |
| 441 | #237 | — | 2 | 12 | no | — |
| 442 | #237 | — | 2 | 12 | no | — |
| 443 | #237 | — | 2 | 12 | no | — |
| 444 | #237 | — | 2 | 12 | no | — |
| 445 | #237 | — | 2 | 12 | no | — |
| 446 | #237 | — | 2 | 6 | no | — |
| 447 | #237 | — | 2 | 1 | no | — |
| 448 | #237 | — | 2 | 1 | no | — |
| 449 | #237 | — | 2 | 6 | no | — |
| 450 | #237 | — | 2 | 12 | no | — |
| 451 | #237 | C2×D4 | 1 | 12 | yes | — |
| 452 | #237 | C2×D4 | 1 | 12 | yes | — |
| 453 | #237 | C24 | 1 | 2 | yes | — |
| 454 | #237 | C24 | 1 | 12 | yes | — |
| 455 | #237 | C24 | 1 | 2 | yes | — |
| 456 | #237 | C24 | 1 | 4 | yes | — |
| 457 | D3×D4 | — | 2 | 4 | no | — |
| 458 | D3×D4 | — | 2 | 12 | no | — |
| 459 | D3×D4 | — | 2 | 12 | no | — |
| 460 | D3×D4 | — | 2 | 12 | no | — |
| 461 | D3×D4 | — | 2 | 12 | no | — |
| 462 | D3×D4 | — | 2 | 12 | no | — |
| 463 | D3×D4 | — | 2 | 12 | no | — |
| 464 | D3×D4 | — | 2 | 24 | no | — |
| 465 | D3×D4 | — | 2 | 24 | no | — |
| 466 | D3×D4 | — | 2 | 48 | no | — |
| 467 | D3×D4 | — | 2 | 12 | no | — |
| 468 | D3×D4 | — | 2 | 6 | no | — |
| 469 | D3×D4 | — | 2 | 6 | no | — |
| 470 | D3×D4 | — | 2 | 6 | no | — |
| 471 | D3×D4 | C2×D4 | 1 | 12 | yes | — |
| 472 | D3×D4 | C2×D4 | 1 | 12 | yes | — |
| 473 | D3×D4 | C24 | 1 | 12 | yes | — |
| 474 | D3×D4 | C24 | 1 | 12 | yes | — |
| 475 | D3×D4 | C24 | 1 | 4 | yes | — |
| 476 | #235 | — | 2 | 6 | no | — |
| 477 | #235 | — | 2 | 6 | no | — |
| 478 | #235 | — | 2 | 6 | no | — |
| 479 | #235 | — | 2 | 24 | no | — |
| 480 | #235 | — | 2 | 48 | no | — |
| 481 | #235 | — | 2 | 12 | no | — |
| 482 | #235 | — | 2 | 12 | no | — |
| 483 | #235 | — | 2 | 4 | no | — |
| 484 | #235 | — | 2 | 12 | no | — |
| 485 | #235 | — | 2 | 12 | no | — |
| 486 | #235 | — | 2 | 12 | no | — |
| 487 | #235 | — | 2 | 12 | no | — |
| 488 | #235 | — | 2 | 12 | no | — |
| 489 | #235 | — | 2 | 24 | no | — |
| 490 | #235 | C2×D4 | 1 | 12 | yes | — |
| 491 | #235 | C24 | 1 | 12 | yes | — |
| 492 | #235 | C24 | 1 | 12 | yes | — |
| 493 | #235 | C24 | 1 | 12 | yes | — |
| 494 | #235 | C24 | 1 | 4 | yes | — |
| 495 | C2×D12 | — | 2 | 3 | no | — |
| 496 | C2×D12 | — | 2 | 6 | no | — |
| 497 | C2×D12 | — | 2 | 12 | no | — |
| 498 | C2×D12 | — | 2 | 12 | no | — |
| 499 | C2×D12 | — | 2 | 6 | no | — |
| 500 | C2×D12 | — | 2 | 3 | no | — |
| 501 | C2×D12 | — | 2 | 6 | no | — |
| 502 | C2×D12 | — | 2 | 24 | no | — |
| 503 | C2×D12 | — | 2 | 12 | no | — |
| 504 | C2×D12 | C2×D4 | 1 | 3 | yes | — |
| 505 | C2×D12 | C24 | 1 | 12 | yes | — |
| 506 | C2×D12 | C24 | 1 | 6 | yes | — |
| 507 | C2×D12 | C24 | 1 | 3 | yes | — |
| 508 | C2×C4×D3 | — | 2 | 3 | no | — |
| 509 | C2×C4×D3 | — | 2 | 6 | no | — |
| 510 | C2×C4×D3 | — | 2 | 6 | no | — |
| 511 | C2×C4×D3 | — | 2 | 3 | no | — |
| 512 | C2×C4×D3 | — | 2 | 3 | no | — |
| 513 | C2×C4×D3 | — | 2 | 6 | no | — |
| 514 | C2×C4×D3 | — | 2 | 6 | no | — |
| 515 | C2×C4×D3 | — | 2 | 12 | no | — |
| 516 | C2×C4×D3 | — | 2 | 12 | no | — |
| 517 | C2×C4×D3 | — | 2 | 4 | no | — |
| 518 | C2×C4×D3 | — | 2 | 12 | no | — |
| 519 | C2×C4×D3 | — | 2 | 12 | no | — |
| 520 | C2×C4×D3 | — | 2 | 12 | no | — |
| 521 | C2×C4×D3 | — | 2 | 12 | no | — |
| 522 | C2×C4×D3 | — | 2 | 12 | no | — |
| 523 | C2×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 524 | C2×C4×D3 | C2×D4 | 1 | 6 | yes | — |
| 525 | C2×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 526 | C2×C4×D3 | C2×D4 | 1 | 6 | yes | — |
| 527 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 528 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 529 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 530 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 531 | C2×Dic6 | — | 2 | 3 | no | — |
| 532 | C2×Dic6 | — | 2 | 6 | no | — |
| 533 | C2×Dic6 | — | 2 | 12 | no | — |
| 534 | C2×Dic6 | C2×D4 | 1 | 3 | yes | — |
| 535 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 536 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 537 | C3×Q16 | C24 | 1 | 24 | yes | — |
| 538 | C3×SD16 | C24 | 1 | 8 | yes | — |
| 539 | C3×SD16 | C24 | 1 | 24 | yes | — |
| 540 | C3×D8 | C24 | 1 | 8 | yes | — |
| 541 | C3×M16 | C24 | 1 | 4 | yes | — |
| 542 | C3×M16 | C24 | 1 | 12 | yes | — |
| 543 | C2×C3×C8 | C24 | 1 | 12 | yes | — |
| 544 | #216 | C24 | 1 | 24 | yes | — |
| 545 | #216 | C24 | 1 | 8 | yes | — |
| 546 | #215 | C24 | 1 | 24 | yes | — |
| 547 | #215 | C24 | 1 | 24 | yes | — |
| 548 | #214 | C24 | 1 | 8 | yes | — |
| 549 | #214 | C24 | 1 | 8 | yes | — |
| 550 | #213 | C24 | 1 | 8 | yes | — |
| 551 | #213 | C24 | 1 | 24 | yes | — |
| 552 | #208 | C24 | 1 | 12 | yes | — |
| 553 | #208 | C24 | 1 | 4 | yes | — |
| 554 | C2×C3⋊C8 | C24 | 1 | 12 | yes | — |
| 555 | Dic12 | C24 | 1 | 8 | yes | — |
| 556 | D24 | C24 | 1 | 24 | yes | — |
| 557 | #204 | C24 | 1 | 24 | yes | — |
| 558 | #204 | C24 | 1 | 8 | yes | — |
| 559 | ΓL(1,𝔽25) | C24 | 1 | 8 | yes | — |
| 560 | ΓL(1,𝔽25) | C24 | 1 | 24 | yes | — |
| 561 | D3×C8 | C24 | 1 | 8 | yes | — |
| 562 | D3×C8 | C24 | 1 | 24 | yes | — |
| 563 | 2−1+4 | — | 2 | 4 | no | — |
| 564 | 2−1+4 | — | 2 | 1 | no | — |
| 565 | 2−1+4 | — | 3 | 12 | no | — |
| 566 | 2−1+4 | — | 3 | 4 | no | — |
| 567 | 2−1+4 | — | 3 | 12 | no | — |
| 568 | 2−1+4 | — | 3 | 24 | no | — |
| 569 | 2−1+4 | — | 6 | 8 | no | — |
| 570 | 2−1+4 | — | 6 | 8 | no | — |
| 571 | 2−1+4 | — | 6 | 4 | no | — |
| 572 | 2−1+4 | — | 6 | 4 | no | — |
| 573 | 2−1+4 | — | 6 | 12 | no | — |
| 574 | 2−1+4 | — | 6 | 4 | no | — |
| 575 | 2−1+4 | — | 6 | 6 | no | — |
| 576 | 2−1+4 | — | 6 | 12 | no | — |
| 577 | 2−1+4 | — | 6 | 1 | no | — |
| 578 | 2−1+4 | C22×D3 | 1 | 4 | yes | complemented |
| 579 | 2−1+4 | C22×D3 | 1 | 8 | yes | complemented |
| 580 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 581 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 582 | H(5,𝔽2) | — | 3 | 24 | no | — |
| 583 | H(5,𝔽2) | — | 3 | 8 | no | — |
| 584 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 585 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 586 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 587 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 588 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 589 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 590 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 591 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 592 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 593 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 594 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 595 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 596 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 597 | H(5,𝔽2) | C22×D3 | 1 | 4 | yes | complemented |
| 598 | C2×#41 | — | 2 | 4 | no | — |
| 599 | C2×#41 | — | 2 | 3 | no | — |
| 600 | C2×#41 | — | 3 | 4 | no | — |
| 601 | C2×#41 | — | 3 | 4 | no | — |
| 602 | C2×#41 | — | 3 | 4 | no | — |
| 603 | C2×#41 | — | 3 | 4 | no | — |
| 604 | C2×#41 | — | 3 | 1 | no | — |
| 605 | C2×#41 | — | 3 | 3 | no | — |
| 606 | C2×#41 | — | 3 | 3 | no | — |
| 607 | C2×#41 | — | 3 | 12 | no | — |
| 608 | C2×#41 | — | 3 | 12 | no | — |
| 609 | C2×#41 | — | 3 | 12 | no | — |
| 610 | C2×#41 | — | 3 | 12 | no | — |
| 611 | C2×#41 | — | 3 | 4 | no | — |
| 612 | C2×#41 | — | 3 | 12 | no | — |
| 613 | C2×#41 | — | 3 | 6 | no | — |
| 614 | C2×#41 | — | 3 | 12 | no | — |
| 615 | C2×#41 | — | 3 | 12 | no | — |
| 616 | C2×#41 | — | 3 | 3 | no | — |
| 617 | C2×#41 | — | 3 | 6 | no | — |
| 618 | C2×#41 | — | 3 | 6 | no | — |
| 619 | C2×#41 | — | 3 | 1 | no | — |
| 620 | C2×#41 | — | 3 | 6 | no | — |
| 621 | C2×#41 | — | 3 | 3 | no | — |
| 622 | C2×#41 | — | 6 | 3 | no | — |
| 623 | C2×#41 | — | 6 | 6 | no | — |
| 624 | C2×#41 | — | 6 | 6 | no | — |
| 625 | C2×#41 | — | 6 | 3 | no | — |
| 626 | C2×#41 | — | 6 | 12 | no | — |
| 627 | C2×#41 | — | 6 | 3 | no | — |
| 628 | C2×#41 | — | 6 | 6 | no | — |
| 629 | C2×#41 | — | 6 | 3 | no | — |
| 630 | C2×#41 | — | 6 | 3 | no | — |
| 631 | C2×#41 | — | 6 | 6 | no | — |
| 632 | C2×#41 | — | 6 | 6 | no | — |
| 633 | C2×#41 | — | 6 | 6 | no | — |
| 634 | C2×#41 | — | 6 | 6 | no | — |
| 635 | C2×#41 | — | 6 | 6 | no | — |
| 636 | C2×#41 | — | 6 | 6 | no | — |
| 637 | C2×#41 | — | 6 | 6 | no | — |
| 638 | C2×#41 | — | 6 | 6 | no | — |
| 639 | C2×#41 | — | 6 | 12 | no | — |
| 640 | C2×#41 | — | 6 | 3 | no | — |
| 641 | C2×#41 | — | 6 | 12 | no | — |
| 642 | C2×#41 | — | 6 | 8 | no | — |
| 643 | C2×#41 | — | 6 | 8 | no | — |
| 644 | C2×#41 | — | 6 | 4 | no | — |
| 645 | C2×#41 | — | 6 | 4 | no | — |
| 646 | C2×#41 | — | 6 | 4 | no | — |
| 647 | C2×#41 | — | 6 | 12 | no | — |
| 648 | C2×#41 | — | 6 | 24 | no | — |
| 649 | C2×#41 | — | 6 | 24 | no | — |
| 650 | C2×#41 | — | 6 | 12 | no | — |
| 651 | C2×#41 | — | 6 | 4 | no | — |
| 652 | C2×#41 | — | 6 | 1 | no | — |
| 653 | C2×#41 | C22×D3 | 1 | 6 | yes | — |
| 654 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 655 | C2×#41 | C22×D3 | 1 | 3 | yes | complemented |
| 656 | C22×Q8 | — | 2 | 1 | no | — |
| 657 | C22×Q8 | — | 3 | 1 | no | — |
| 658 | C22×Q8 | — | 3 | 3 | no | — |
| 659 | C22×Q8 | — | 3 | 6 | no | — |
| 660 | C22×Q8 | — | 6 | 4 | no | — |
| 661 | C22×Q8 | — | 6 | 3 | no | — |
| 662 | C22×Q8 | C22×D3 | 1 | 3 | yes | complemented |
| 663 | C22×D4 | — | 3 | 3 | no | — |
| 664 | C22×D4 | — | 3 | 3 | no | — |
| 665 | C22×D4 | — | 3 | 6 | no | — |
| 666 | C22×D4 | — | 3 | 3 | no | — |
| 667 | C22×D4 | — | 6 | 3 | no | — |
| 668 | C22×D4 | — | 6 | 3 | no | — |
| 669 | C22×D4 | — | 6 | 6 | no | — |
| 670 | C22×D4 | — | 6 | 12 | no | — |
| 671 | C22×D4 | — | 6 | 3 | no | — |
| 672 | C22×D4 | — | 6 | 6 | no | — |
| 673 | C22×D4 | — | 6 | 3 | no | — |
| 674 | C23×C4 | — | 3 | 3 | no | — |
| 675 | C23×C4 | — | 6 | 3 | no | — |
| 676 | C23×C4 | — | 6 | 3 | no | — |
| 677 | C23×C4 | — | 6 | 6 | no | — |
| 678 | #137 | — | 3 | 4 | no | — |
| 679 | #137 | — | 3 | 12 | no | — |
| 680 | #137 | — | 3 | 12 | no | — |
| 681 | #137 | — | 3 | 12 | no | — |
| 682 | #137 | — | 3 | 24 | no | — |
| 683 | #137 | — | 3 | 24 | no | — |
| 684 | #137 | — | 3 | 24 | no | — |
| 685 | #137 | — | 3 | 48 | no | — |
| 686 | #137 | — | 3 | 8 | no | — |
| 687 | #137 | — | 3 | 24 | no | — |
| 688 | #137 | — | 3 | 4 | no | — |
| 689 | #137 | — | 3 | 12 | no | — |
| 690 | #137 | C22×D3 | 1 | 12 | yes | complemented |
| 691 | #137 | C22×D3 | 1 | 12 | yes | complemented |
| 692 | #137 | C22×D3 | 1 | 24 | yes | complemented |
| 693 | AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 694 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 695 | AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 696 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 697 | AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 698 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 699 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 700 | AGL(1,ℤ/8) | — | 3 | 48 | no | — |
| 701 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 702 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 703 | AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 704 | AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 705 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 706 | AGL(1,ℤ/8) | C22×D3 | 1 | 4 | yes | complemented |
| 707 | AGL(1,ℤ/8) | C22×D3 | 1 | 12 | yes | complemented |
| 708 | #135 | — | 3 | 24 | no | — |
| 709 | #135 | — | 3 | 24 | no | — |
| 710 | #135 | — | 3 | 24 | no | — |
| 711 | #135 | — | 3 | 48 | no | — |
| 712 | #135 | — | 3 | 8 | no | — |
| 713 | #135 | — | 3 | 24 | no | — |
| 714 | #135 | — | 3 | 48 | no | — |
| 715 | #135 | — | 3 | 8 | no | — |
| 716 | #135 | — | 3 | 24 | no | — |
| 717 | #135 | C22×D3 | 1 | 24 | yes | complemented |
| 718 | C2×Q16 | — | 3 | 12 | no | — |
| 719 | C2×Q16 | — | 3 | 24 | no | — |
| 720 | C2×Q16 | C22×D3 | 1 | 12 | yes | complemented |
| 721 | C2×SD16 | — | 3 | 12 | no | — |
| 722 | C2×SD16 | — | 3 | 12 | no | — |
| 723 | C2×SD16 | — | 3 | 24 | no | — |
| 724 | C2×SD16 | — | 3 | 24 | no | — |
| 725 | C2×SD16 | — | 3 | 12 | no | — |
| 726 | C2×SD16 | C22×D3 | 1 | 12 | yes | complemented |
| 727 | C2×D8 | — | 3 | 12 | no | — |
| 728 | C2×D8 | — | 3 | 24 | no | — |
| 729 | C2×D8 | — | 3 | 12 | no | — |
| 730 | #131 | — | 3 | 8 | no | — |
| 731 | #131 | — | 3 | 24 | no | — |
| 732 | #131 | — | 3 | 24 | no | — |
| 733 | #131 | C22×D3 | 1 | 8 | yes | complemented |
| 734 | C2×M16 | — | 3 | 6 | no | — |
| 735 | C2×M16 | — | 3 | 4 | no | — |
| 736 | C2×M16 | — | 3 | 12 | no | — |
| 737 | C2×M16 | — | 3 | 12 | no | — |
| 738 | C2×M16 | — | 3 | 12 | no | — |
| 739 | C2×M16 | — | 3 | 12 | no | — |
| 740 | C2×M16 | C22×D3 | 1 | 6 | yes | complemented |
| 741 | C22×C8 | — | 3 | 12 | no | — |
| 742 | C23×C3 | — | 2 | 1 | no | — |
| 743 | C23×C3 | — | 2 | 6 | no | — |
| 744 | C23×C3 | C22×D4 | 1 | 3 | yes | — |
| 745 | C22×D3 | — | 2 | 3 | no | — |
| 746 | C22×D3 | — | 2 | 12 | no | — |
| 747 | C22×D3 | — | 2 | 6 | no | — |
| 748 | C22×D3 | — | 2 | 4 | no | — |
| 749 | C22×D3 | — | 2 | 12 | no | — |
| 750 | C22×D3 | — | 2 | 12 | no | — |
| 751 | C22×D3 | — | 8 | 3 | no | — |
| 752 | C22×D3 | — | 8 | 12 | no | — |
| 753 | C22×D3 | — | 8 | 6 | no | — |
| 754 | C22×D3 | — | 8 | 6 | no | — |
| 755 | C22×D3 | C22×D4 | 1 | 3 | yes | — |
| 756 | C22×D3 | C22×D4 | 1 | 6 | yes | — |
| 757 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 758 | C22×D3 | C22×D4 | 1 | 6 | yes | — |
| 759 | C3×Q8 | — | 2 | 6 | no | — |
| 760 | C3×Q8 | — | 2 | 12 | no | — |
| 761 | C3×Q8 | — | 2 | 3 | no | — |
| 762 | C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 763 | C3×Q8 | C25 | 1 | 4 | yes | — |
| 764 | C3×Q8 | C25 | 1 | 6 | yes | — |
| 765 | C3×D4 | — | 2 | 12 | no | — |
| 766 | C3×D4 | — | 2 | 4 | no | — |
| 767 | C3×D4 | — | 2 | 12 | no | — |
| 768 | C3×D4 | — | 2 | 1 | no | — |
| 769 | C3×D4 | — | 2 | 6 | no | — |
| 770 | C3×D4 | C22×D4 | 1 | 12 | yes | — |
| 771 | C3×D4 | C25 | 1 | 4 | yes | — |
| 772 | C3×D4 | C25 | 1 | 2 | yes | — |
| 773 | C2×C3×C4 | — | 2 | 3 | no | — |
| 774 | C2×C3×C4 | — | 2 | 6 | no | — |
| 775 | C2×C3×C4 | — | 2 | 12 | no | — |
| 776 | C2×C3×C4 | — | 2 | 12 | no | — |
| 777 | C2×C3×C4 | — | 2 | 4 | no | — |
| 778 | C2×C3×C4 | — | 2 | 12 | no | — |
| 779 | C2×C3×C4 | C22×D4 | 1 | 3 | yes | — |
| 780 | C2×C3×C4 | C22×D4 | 1 | 6 | yes | — |
| 781 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 782 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 783 | #67 | — | 2 | 12 | no | — |
| 784 | #67 | — | 2 | 4 | no | — |
| 785 | #67 | — | 2 | 12 | no | — |
| 786 | #67 | — | 2 | 2 | no | — |
| 787 | #67 | — | 2 | 2 | no | — |
| 788 | #67 | — | 2 | 12 | no | — |
| 789 | #67 | — | 2 | 4 | no | — |
| 790 | #67 | — | 2 | 12 | no | — |
| 791 | #67 | — | 2 | 12 | no | — |
| 792 | #67 | — | 2 | 4 | no | — |
| 793 | #67 | C22×D4 | 1 | 24 | yes | — |
| 794 | C2×Dic3 | — | 2 | 1 | no | — |
| 795 | C2×Dic3 | — | 2 | 6 | no | — |
| 796 | C2×Dic3 | — | 2 | 12 | no | — |
| 797 | C2×Dic3 | — | 2 | 2 | no | — |
| 798 | C2×Dic3 | — | 2 | 2 | no | — |
| 799 | C2×Dic3 | — | 2 | 4 | no | — |
| 800 | C2×Dic3 | C22×D4 | 1 | 3 | yes | — |
| 801 | C2×Dic3 | C22×D4 | 1 | 6 | yes | — |
| 802 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 803 | C2×Dic3 | C22×D4 | 1 | 6 | yes | — |
| 804 | D12 | — | 2 | 6 | no | — |
| 805 | D12 | — | 2 | 24 | no | — |
| 806 | D12 | — | 2 | 6 | no | — |
| 807 | D12 | — | 2 | 12 | no | — |
| 808 | D12 | — | 2 | 4 | no | — |
| 809 | D12 | — | 2 | 12 | no | — |
| 810 | D12 | — | 2 | 3 | no | — |
| 811 | D12 | — | 2 | 6 | no | — |
| 812 | D12 | C22×D4 | 1 | 12 | yes | — |
| 813 | D12 | C25 | 1 | 6 | yes | — |
| 814 | D12 | C25 | 1 | 4 | yes | — |
| 815 | C4×D3 | — | 2 | 4 | no | — |
| 816 | C4×D3 | — | 2 | 12 | no | — |
| 817 | C4×D3 | — | 2 | 12 | no | — |
| 818 | C4×D3 | — | 2 | 4 | no | — |
| 819 | C4×D3 | — | 2 | 12 | no | — |
| 820 | C4×D3 | — | 2 | 12 | no | — |
| 821 | C4×D3 | — | 2 | 4 | no | — |
| 822 | C4×D3 | — | 2 | 6 | no | — |
| 823 | C4×D3 | — | 2 | 6 | no | — |
| 824 | C4×D3 | — | 2 | 12 | no | — |
| 825 | C4×D3 | — | 2 | 24 | no | — |
| 826 | C4×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 827 | C4×D3 | C22×D4 | 1 | 6 | yes | — |
| 828 | C4×D3 | C22×D4 | 1 | 6 | yes | — |
| 829 | C4×D3 | C22×D4 | 1 | 6 | yes | — |
| 830 | C4×D3 | C22×D4 | 1 | 6 | yes | — |
| 831 | C4×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 832 | C4×D3 | C22×D4 | 1 | 6 | yes | — |
| 833 | C4×D3 | C25 | 1 | 1 | yes | characteristic |
| 834 | C4×D3 | C25 | 1 | 6 | yes | — |
| 835 | C4×D3 | C25 | 1 | 1 | yes | characteristic |
| 836 | Dic6 | — | 2 | 6 | no | — |
| 837 | Dic6 | — | 2 | 1 | no | — |
| 838 | Dic6 | — | 2 | 12 | no | — |
| 839 | Dic6 | — | 2 | 4 | no | — |
| 840 | Dic6 | — | 2 | 12 | no | — |
| 841 | Dic6 | C22×D4 | 1 | 12 | yes | — |
| 842 | Dic6 | C25 | 1 | 4 | yes | — |
| 843 | Dic6 | C25 | 1 | 2 | yes | — |
| 844 | C3×C8 | C25 | 1 | 8 | yes | — |
| 845 | C3⋊C8 | C25 | 1 | 8 | yes | — |
| 846 | C24 | — | 3 | 3 | no | — |
| 847 | C24 | — | 6 | 3 | no | — |
| 848 | C24 | — | 6 | 6 | no | — |
| 849 | C24 | — | 6 | 3 | no | — |
| 850 | #41 | — | 2 | 4 | no | — |
| 851 | #41 | — | 2 | 12 | no | — |
| 852 | #41 | — | 2 | 24 | no | — |
| 853 | #41 | — | 2 | 6 | no | — |
| 854 | #41 | — | 2 | 6 | no | — |
| 855 | #41 | — | 2 | 6 | no | — |
| 856 | #41 | — | 3 | 4 | no | — |
| 857 | #41 | — | 3 | 4 | no | — |
| 858 | #41 | — | 3 | 12 | no | — |
| 859 | #41 | — | 3 | 12 | no | — |
| 860 | #41 | — | 3 | 12 | no | — |
| 861 | #41 | — | 3 | 12 | no | — |
| 862 | #41 | — | 3 | 4 | no | — |
| 863 | #41 | — | 3 | 6 | no | — |
| 864 | #41 | — | 3 | 12 | no | — |
| 865 | #41 | — | 3 | 24 | no | — |
| 866 | #41 | — | 3 | 6 | no | — |
| 867 | #41 | — | 3 | 4 | no | — |
| 868 | #41 | — | 3 | 2 | no | — |
| 869 | #41 | — | 3 | 12 | no | — |
| 870 | #41 | — | 3 | 2 | no | — |
| 871 | #41 | — | 3 | 12 | no | — |
| 872 | #41 | — | 3 | 12 | no | — |
| 873 | #41 | — | 3 | 4 | no | — |
| 874 | #41 | — | 6 | 4 | no | — |
| 875 | #41 | — | 6 | 12 | no | — |
| 876 | #41 | — | 6 | 12 | no | — |
| 877 | #41 | — | 6 | 12 | no | — |
| 878 | #41 | — | 6 | 12 | no | — |
| 879 | #41 | — | 6 | 12 | no | — |
| 880 | #41 | — | 6 | 24 | no | — |
| 881 | #41 | — | 6 | 48 | no | — |
| 882 | #41 | — | 6 | 12 | no | — |
| 883 | #41 | — | 6 | 12 | no | — |
| 884 | #41 | — | 6 | 24 | no | — |
| 885 | #41 | — | 6 | 4 | no | — |
| 886 | #41 | — | 6 | 12 | no | — |
| 887 | #41 | — | 6 | 12 | no | — |
| 888 | #41 | — | 6 | 12 | no | — |
| 889 | #41 | — | 6 | 1 | no | — |
| 890 | #41 | — | 6 | 1 | no | — |
| 891 | #41 | — | 6 | 6 | no | — |
| 892 | #41 | — | 6 | 12 | no | — |
| 893 | #41 | — | 6 | 12 | no | — |
| 894 | #41 | — | 6 | 6 | no | — |
| 895 | #41 | — | 6 | 3 | no | — |
| 896 | #41 | — | 6 | 3 | no | — |
| 897 | #41 | — | 6 | 12 | no | — |
| 898 | #41 | — | 6 | 6 | no | — |
| 899 | #41 | — | 6 | 12 | no | — |
| 900 | #41 | — | 6 | 12 | no | — |
| 901 | #41 | — | 6 | 12 | no | — |
| 902 | #41 | — | 6 | 12 | no | — |
| 903 | #41 | — | 6 | 6 | no | — |
| 904 | #41 | — | 6 | 24 | no | — |
| 905 | #41 | — | 6 | 12 | no | — |
| 906 | #41 | — | 6 | 24 | no | — |
| 907 | #41 | — | 6 | 12 | no | — |
| 908 | #41 | — | 6 | 8 | no | — |
| 909 | #41 | — | 6 | 4 | no | — |
| 910 | #41 | — | 6 | 12 | no | — |
| 911 | #41 | — | 6 | 6 | no | — |
| 912 | #41 | — | 6 | 6 | no | — |
| 913 | #41 | — | 6 | 6 | no | — |
| 914 | #41 | D3×D4 | 1 | 4 | yes | — |
| 915 | #41 | C23×D3 | 1 | 12 | yes | — |
| 916 | #41 | C23×D3 | 1 | 12 | yes | — |
| 917 | #41 | C23×D3 | 1 | 4 | yes | — |
| 918 | #41 | C23×D3 | 1 | 4 | yes | — |
| 919 | C2×Q8 | — | 2 | 8 | no | — |
| 920 | C2×Q8 | — | 2 | 4 | no | — |
| 921 | C2×Q8 | — | 2 | 3 | no | — |
| 922 | C2×Q8 | — | 2 | 6 | no | — |
| 923 | C2×Q8 | — | 3 | 4 | no | — |
| 924 | C2×Q8 | — | 3 | 4 | no | — |
| 925 | C2×Q8 | — | 3 | 3 | no | — |
| 926 | C2×Q8 | — | 3 | 12 | no | — |
| 927 | C2×Q8 | — | 3 | 12 | no | — |
| 928 | C2×Q8 | — | 3 | 4 | no | — |
| 929 | C2×Q8 | — | 3 | 6 | no | — |
| 930 | C2×Q8 | — | 3 | 1 | no | — |
| 931 | C2×Q8 | — | 6 | 3 | no | — |
| 932 | C2×Q8 | — | 6 | 6 | no | — |
| 933 | C2×Q8 | — | 6 | 12 | no | — |
| 934 | C2×Q8 | — | 6 | 6 | no | — |
| 935 | C2×Q8 | — | 6 | 6 | no | — |
| 936 | C2×Q8 | — | 6 | 6 | no | — |
| 937 | C2×Q8 | — | 6 | 24 | no | — |
| 938 | C2×Q8 | — | 6 | 12 | no | — |
| 939 | C2×Q8 | — | 6 | 4 | no | — |
| 940 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 941 | C2×Q8 | C23×D3 | 1 | 6 | yes | — |
| 942 | C2×Q8 | C23×D3 | 1 | 12 | yes | — |
| 943 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 944 | C2×D4 | — | 2 | 3 | no | — |
| 945 | C2×D4 | — | 2 | 6 | no | — |
| 946 | C2×D4 | — | 2 | 12 | no | — |
| 947 | C2×D4 | — | 3 | 6 | no | — |
| 948 | C2×D4 | — | 3 | 12 | no | — |
| 949 | C2×D4 | — | 3 | 12 | no | — |
| 950 | C2×D4 | — | 3 | 12 | no | — |
| 951 | C2×D4 | — | 3 | 12 | no | — |
| 952 | C2×D4 | — | 3 | 4 | no | — |
| 953 | C2×D4 | — | 3 | 3 | no | — |
| 954 | C2×D4 | — | 3 | 12 | no | — |
| 955 | C2×D4 | — | 3 | 6 | no | — |
| 956 | C2×D4 | — | 3 | 3 | no | — |
| 957 | C2×D4 | — | 6 | 12 | no | — |
| 958 | C2×D4 | — | 6 | 24 | no | — |
| 959 | C2×D4 | — | 6 | 3 | no | — |
| 960 | C2×D4 | — | 6 | 6 | no | — |
| 961 | C2×D4 | — | 6 | 6 | no | — |
| 962 | C2×D4 | — | 6 | 12 | no | — |
| 963 | C2×D4 | — | 6 | 12 | no | — |
| 964 | C2×D4 | — | 6 | 6 | no | — |
| 965 | C2×D4 | — | 6 | 6 | no | — |
| 966 | C2×D4 | — | 6 | 6 | no | — |
| 967 | C2×D4 | — | 6 | 3 | no | — |
| 968 | C2×D4 | — | 6 | 6 | no | — |
| 969 | C2×D4 | — | 6 | 24 | no | — |
| 970 | C2×D4 | — | 6 | 48 | no | — |
| 971 | C2×D4 | — | 6 | 12 | no | — |
| 972 | C2×D4 | — | 6 | 4 | no | — |
| 973 | C2×D4 | — | 6 | 12 | no | — |
| 974 | C2×D4 | — | 6 | 12 | no | — |
| 975 | C2×D4 | — | 6 | 12 | no | — |
| 976 | C2×D4 | — | 6 | 12 | no | — |
| 977 | C2×D4 | — | 6 | 12 | no | — |
| 978 | C2×D4 | — | 6 | 24 | no | — |
| 979 | C2×D4 | — | 6 | 1 | no | — |
| 980 | C2×D4 | — | 6 | 6 | no | — |
| 981 | C2×D4 | — | 6 | 3 | no | — |
| 982 | C2×D4 | — | 6 | 6 | no | — |
| 983 | C2×D4 | — | 6 | 12 | no | — |
| 984 | C2×D4 | — | 6 | 24 | no | — |
| 985 | C2×D4 | — | 6 | 3 | no | — |
| 986 | C2×D4 | — | 6 | 6 | no | — |
| 987 | C2×D4 | D3×D4 | 1 | 3 | yes | — |
| 988 | C2×D4 | C23×D3 | 1 | 6 | yes | — |
| 989 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 990 | C22×C4 | — | 2 | 3 | no | — |
| 991 | C22×C4 | — | 2 | 3 | no | — |
| 992 | C22×C4 | — | 2 | 6 | no | — |
| 993 | C22×C4 | — | 3 | 3 | no | — |
| 994 | C22×C4 | — | 3 | 3 | no | — |
| 995 | C22×C4 | — | 3 | 6 | no | — |
| 996 | C22×C4 | — | 3 | 3 | no | — |
| 997 | C22×C4 | — | 3 | 6 | no | — |
| 998 | C22×C4 | — | 3 | 6 | no | — |
| 999 | C22×C4 | — | 3 | 1 | no | — |
| 1000 | C22×C4 | — | 3 | 3 | no | — |
| 1001 | C22×C4 | — | 3 | 6 | no | — |
| 1002 | C22×C4 | — | 6 | 3 | no | — |
| 1003 | C22×C4 | — | 6 | 4 | no | — |
| 1004 | C22×C4 | — | 6 | 6 | no | — |
| 1005 | C22×C4 | — | 6 | 12 | no | — |
| 1006 | C22×C4 | — | 6 | 6 | no | — |
| 1007 | C22×C4 | — | 6 | 12 | no | — |
| 1008 | C22×C4 | — | 6 | 12 | no | — |
| 1009 | C22×C4 | — | 6 | 12 | no | — |
| 1010 | C22×C4 | — | 6 | 12 | no | — |
| 1011 | C22×C4 | — | 6 | 12 | no | — |
| 1012 | C22×C4 | — | 6 | 12 | no | — |
| 1013 | C22×C4 | — | 6 | 3 | no | — |
| 1014 | C22×C4 | — | 6 | 6 | no | — |
| 1015 | C22×C4 | — | 6 | 1 | no | — |
| 1016 | C22×C4 | — | 6 | 6 | no | — |
| 1017 | C22×C4 | — | 6 | 3 | no | — |
| 1018 | C22×C4 | — | 6 | 6 | no | — |
| 1019 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 1020 | Q16 | — | 3 | 8 | no | — |
| 1021 | Q16 | — | 3 | 24 | no | — |
| 1022 | Q16 | — | 3 | 8 | no | — |
| 1023 | Q16 | C23×D3 | 1 | 24 | yes | — |
| 1024 | SD16 | — | 3 | 24 | no | — |
| 1025 | SD16 | — | 3 | 24 | no | — |
| 1026 | SD16 | — | 3 | 8 | no | — |
| 1027 | SD16 | — | 3 | 8 | no | — |
| 1028 | SD16 | — | 3 | 8 | no | — |
| 1029 | SD16 | — | 3 | 24 | no | — |
| 1030 | SD16 | C23×D3 | 1 | 8 | yes | — |
| 1031 | SD16 | C23×D3 | 1 | 24 | yes | — |
| 1032 | D8 | — | 3 | 24 | no | — |
| 1033 | D8 | — | 3 | 8 | no | — |
| 1034 | D8 | — | 3 | 24 | no | — |
| 1035 | D8 | C23×D3 | 1 | 8 | yes | — |
| 1036 | M16 | — | 3 | 4 | no | — |
| 1037 | M16 | — | 3 | 12 | no | — |
| 1038 | M16 | — | 3 | 8 | no | — |
| 1039 | M16 | — | 3 | 24 | no | — |
| 1040 | M16 | C23×D3 | 1 | 4 | yes | — |
| 1041 | M16 | C23×D3 | 1 | 12 | yes | — |
| 1042 | C2×C8 | — | 3 | 12 | no | — |
| 1043 | C2×C8 | — | 3 | 8 | no | — |
| 1044 | C2×C8 | — | 3 | 24 | no | — |
| 1045 | C2×C8 | C23×D3 | 1 | 12 | yes | — |
| 1046 | C22×C3 | — | 2 | 4 | no | — |
| 1047 | C22×C3 | — | 2 | 2 | no | — |
| 1048 | C22×C3 | — | 4 | 3 | no | — |
| 1049 | C22×C3 | — | 4 | 2 | no | — |
| 1050 | C22×C3 | — | 8 | 6 | no | — |
| 1051 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 1052 | C22×C3 | C23×D4 | 1 | 6 | yes | — |
| 1053 | C2×D3 | — | 2 | 6 | no | — |
| 1054 | C2×D3 | — | 2 | 4 | no | — |
| 1055 | C2×D3 | — | 4 | 1 | no | — |
| 1056 | C2×D3 | — | 4 | 6 | no | — |
| 1057 | C2×D3 | — | 4 | 3 | no | — |
| 1058 | C2×D3 | — | 4 | 6 | no | — |
| 1059 | C2×D3 | — | 4 | 8 | no | — |
| 1060 | C2×D3 | — | 4 | 6 | no | — |
| 1061 | C2×D3 | — | 8 | 12 | no | — |
| 1062 | C2×D3 | — | 8 | 12 | no | — |
| 1063 | C2×D3 | — | 8 | 12 | no | — |
| 1064 | C2×D3 | — | 8 | 6 | no | — |
| 1065 | C2×D3 | C23×D4 | 1 | 1 | yes | characteristic |
| 1066 | C2×D3 | C23×D4 | 1 | 6 | yes | — |
| 1067 | C2×D3 | C23×D4 | 1 | 1 | yes | characteristic |
| 1068 | C3×C4 | — | 2 | 4 | no | — |
| 1069 | C3×C4 | — | 2 | 6 | no | — |
| 1070 | C3×C4 | C23×D4 | 1 | 6 | yes | — |
| 1071 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1072 | C3×C4 | C26 | 1 | 1 | yes | characteristic |
| 1073 | Dic3 | — | 2 | 2 | no | — |
| 1074 | Dic3 | — | 2 | 4 | no | — |
| 1075 | Dic3 | C23×D4 | 1 | 6 | yes | — |
| 1076 | Dic3 | C23×D4 | 1 | 1 | yes | characteristic |
| 1077 | Dic3 | C23×D4 | 1 | 1 | yes | characteristic |
| 1078 | C23 | — | 2 | 1 | no | — |
| 1079 | C23 | — | 2 | 6 | no | — |
| 1080 | C23 | — | 3 | 1 | no | — |
| 1081 | C23 | — | 3 | 6 | no | — |
| 1082 | C23 | — | 3 | 3 | no | — |
| 1083 | C23 | — | 3 | 6 | no | — |
| 1084 | C23 | — | 6 | 4 | no | — |
| 1085 | C23 | — | 6 | 12 | no | — |
| 1086 | C23 | — | 6 | 12 | no | — |
| 1087 | C23 | — | 6 | 3 | no | — |
| 1088 | C23 | — | 6 | 12 | no | — |
| 1089 | C23 | — | 6 | 6 | no | — |
| 1090 | C23 | — | 24 | 3 | no | — |
| 1091 | C23 | — | 24 | 6 | no | — |
| 1092 | C23 | — | 24 | 6 | no | — |
| 1093 | C23 | — | 24 | 12 | no | — |
| 1094 | C23 | C2×D3×D4 | 1 | 3 | yes | — |
| 1095 | Q8 | — | 2 | 3 | no | — |
| 1096 | Q8 | — | 2 | 12 | no | — |
| 1097 | Q8 | — | 2 | 6 | no | — |
| 1098 | Q8 | — | 3 | 12 | no | — |
| 1099 | Q8 | — | 3 | 2 | no | — |
| 1100 | Q8 | — | 3 | 4 | no | — |
| 1101 | Q8 | — | 6 | 4 | no | — |
| 1102 | Q8 | — | 6 | 12 | no | — |
| 1103 | Q8 | — | 6 | 12 | no | — |
| 1104 | Q8 | — | 6 | 1 | no | — |
| 1105 | Q8 | — | 6 | 6 | no | — |
| 1106 | Q8 | C2×D3×D4 | 1 | 4 | yes | — |
| 1107 | Q8 | C24×D3 | 1 | 4 | yes | — |
| 1108 | Q8 | C24×D3 | 1 | 6 | yes | — |
| 1109 | D4 | — | 2 | 4 | no | — |
| 1110 | D4 | — | 2 | 12 | no | — |
| 1111 | D4 | — | 2 | 12 | no | — |
| 1112 | D4 | — | 2 | 6 | no | — |
| 1113 | D4 | — | 2 | 1 | no | — |
| 1114 | D4 | — | 3 | 24 | no | — |
| 1115 | D4 | — | 3 | 12 | no | — |
| 1116 | D4 | — | 3 | 6 | no | — |
| 1117 | D4 | — | 3 | 4 | no | — |
| 1118 | D4 | — | 6 | 4 | no | — |
| 1119 | D4 | — | 6 | 12 | no | — |
| 1120 | D4 | — | 6 | 6 | no | — |
| 1121 | D4 | — | 6 | 6 | no | — |
| 1122 | D4 | — | 6 | 24 | no | — |
| 1123 | D4 | — | 6 | 4 | no | — |
| 1124 | D4 | — | 6 | 12 | no | — |
| 1125 | D4 | — | 6 | 12 | no | — |
| 1126 | D4 | — | 6 | 2 | no | — |
| 1127 | D4 | — | 6 | 2 | no | — |
| 1128 | D4 | — | 6 | 4 | no | — |
| 1129 | D4 | — | 6 | 12 | no | — |
| 1130 | D4 | — | 6 | 4 | no | — |
| 1131 | D4 | — | 6 | 12 | no | — |
| 1132 | D4 | — | 6 | 12 | no | — |
| 1133 | D4 | — | 6 | 3 | no | — |
| 1134 | D4 | — | 6 | 6 | no | — |
| 1135 | D4 | — | 6 | 12 | no | — |
| 1136 | D4 | C2×D3×D4 | 1 | 12 | yes | — |
| 1137 | D4 | C24×D3 | 1 | 4 | yes | — |
| 1138 | D4 | C24×D3 | 1 | 2 | yes | — |
| 1139 | C2×C4 | — | 2 | 3 | no | — |
| 1140 | C2×C4 | — | 2 | 6 | no | — |
| 1141 | C2×C4 | — | 2 | 12 | no | — |
| 1142 | C2×C4 | — | 2 | 4 | no | — |
| 1143 | C2×C4 | — | 2 | 12 | no | — |
| 1144 | C2×C4 | — | 2 | 12 | no | — |
| 1145 | C2×C4 | — | 3 | 1 | no | — |
| 1146 | C2×C4 | — | 3 | 6 | no | — |
| 1147 | C2×C4 | — | 3 | 3 | no | — |
| 1148 | C2×C4 | — | 3 | 6 | no | — |
| 1149 | C2×C4 | — | 3 | 1 | no | — |
| 1150 | C2×C4 | — | 3 | 1 | no | — |
| 1151 | C2×C4 | — | 3 | 6 | no | — |
| 1152 | C2×C4 | — | 3 | 6 | no | — |
| 1153 | C2×C4 | — | 3 | 6 | no | — |
| 1154 | C2×C4 | — | 3 | 6 | no | — |
| 1155 | C2×C4 | — | 3 | 6 | no | — |
| 1156 | C2×C4 | — | 3 | 1 | no | — |
| 1157 | C2×C4 | — | 3 | 6 | no | — |
| 1158 | C2×C4 | — | 3 | 1 | no | — |
| 1159 | C2×C4 | — | 6 | 4 | no | — |
| 1160 | C2×C4 | — | 6 | 6 | no | — |
| 1161 | C2×C4 | — | 6 | 6 | no | — |
| 1162 | C2×C4 | — | 6 | 12 | no | — |
| 1163 | C2×C4 | — | 6 | 24 | no | — |
| 1164 | C2×C4 | — | 6 | 4 | no | — |
| 1165 | C2×C4 | — | 6 | 12 | no | — |
| 1166 | C2×C4 | — | 6 | 12 | no | — |
| 1167 | C2×C4 | — | 6 | 2 | no | — |
| 1168 | C2×C4 | — | 6 | 4 | no | — |
| 1169 | C2×C4 | — | 6 | 2 | no | — |
| 1170 | C2×C4 | — | 6 | 12 | no | — |
| 1171 | C2×C4 | — | 6 | 1 | no | — |
| 1172 | C2×C4 | — | 6 | 6 | no | — |
| 1173 | C2×C4 | — | 6 | 4 | no | — |
| 1174 | C2×C4 | — | 6 | 12 | no | — |
| 1175 | C2×C4 | — | 6 | 12 | no | — |
| 1176 | C2×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 1177 | C2×C4 | C2×D3×D4 | 1 | 6 | yes | — |
| 1178 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 1179 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1180 | C8 | — | 3 | 8 | no | — |
| 1181 | C8 | C24×D3 | 1 | 8 | yes | — |
| 1182 | C2×C3 | — | 2 | 1 | no | — |
| 1183 | C2×C3 | — | 2 | 6 | no | — |
| 1184 | C2×C3 | — | 4 | 4 | no | — |
| 1185 | C2×C3 | — | 4 | 2 | no | — |
| 1186 | C2×C3 | C24×D4 | 1 | 1 | yes | characteristic |
| 1187 | D3 | — | 2 | 1 | no | — |
| 1188 | D3 | — | 2 | 1 | no | — |
| 1189 | D3 | — | 2 | 6 | no | — |
| 1190 | D3 | — | 4 | 6 | no | — |
| 1191 | D3 | — | 4 | 4 | no | — |
| 1192 | C22 | — | 2 | 2 | no | — |
| 1193 | C22 | — | 2 | 4 | no | — |
| 1194 | C22 | — | 3 | 1 | no | — |
| 1195 | C22 | — | 3 | 1 | no | — |
| 1196 | C22 | — | 3 | 6 | no | — |
| 1197 | C22 | — | 4 | 3 | no | — |
| 1198 | C22 | — | 4 | 2 | no | — |
| 1199 | C22 | — | 6 | 6 | no | — |
| 1200 | C22 | — | 6 | 4 | no | — |
| 1201 | C22 | — | 8 | 6 | no | — |
| 1202 | C22 | — | 12 | 1 | no | — |
| 1203 | C22 | — | 12 | 3 | no | — |
| 1204 | C22 | — | 12 | 6 | no | — |
| 1205 | C22 | — | 12 | 6 | no | — |
| 1206 | C22 | — | 12 | 6 | no | — |
| 1207 | C22 | — | 12 | 8 | no | — |
| 1208 | C22 | — | 24 | 12 | no | — |
| 1209 | C22 | — | 24 | 6 | no | — |
| 1210 | C22 | — | 24 | 12 | no | — |
| 1211 | C22 | — | 24 | 12 | no | — |
| 1212 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1213 | C22 | C22×D3×D4 | 1 | 6 | yes | — |
| 1214 | C4 | — | 2 | 4 | no | — |
| 1215 | C4 | — | 2 | 6 | no | — |
| 1216 | C4 | — | 3 | 1 | no | — |
| 1217 | C4 | — | 3 | 1 | no | — |
| 1218 | C4 | — | 3 | 6 | no | — |
| 1219 | C4 | — | 6 | 4 | no | — |
| 1220 | C4 | — | 6 | 2 | no | — |
| 1221 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1222 | C4 | C22×D3×D4 | 1 | 6 | yes | — |
| 1223 | C4 | C25×D3 | 1 | 1 | yes | characteristic |
| 1224 | C3 | #63090 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1225 | C2 | — | 2 | 1 | no | — |
| 1226 | C2 | — | 2 | 6 | no | — |
| 1227 | C2 | — | 4 | 2 | no | — |
| 1228 | C2 | — | 4 | 4 | no | — |
| 1229 | C2 | — | 6 | 1 | no | — |
| 1230 | C2 | — | 6 | 1 | no | — |
| 1231 | C2 | — | 6 | 6 | no | — |
| 1232 | C2 | — | 12 | 6 | no | — |
| 1233 | C2 | — | 12 | 4 | no | — |
| 1234 | C2 | C23×D3×D4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C23×D3×D4 |
| commutator, cosocle | C3×C4 | C26 |
| Frattini | C4 | C25×D3 |
| Fitting | C3×#3586 | C2 |
| socle | C2×C3 | C24×D4 |
| hypercenter | #3586 | D3 |
| hypocenter | C3 | #63090 |
| LCS | G ▷ C3×C4 ▷ C2×C3 ▷ C3 | |
| UCS | C1 ◁ C2 ◁ C2×#41 ◁ #3586 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D3×#585 | C2 | semidirect |
| 2. C2×#5968 | C2 | semidirect |
| 3. C3×#3586 | C2 | semidirect |
| 4. #87298 | C2 | semidirect |
| 5. #87287 | C2 | semidirect |
| 6. #87211 | C2 | semidirect |
| 7. #87210 | C2 | semidirect |
| 8. #87207 | C2 | semidirect |
| 9. #87206 | C2 | semidirect |
| 10. #87200 | C2 | semidirect |
| 11. D3×#575 | C2 | semidirect |
| 12. #87197 | C2 | semidirect |
| 13. C2×#5777 | C2 | semidirect |
| 14. #87167 | C2 | semidirect |
| 15. D3×#568 | C2 | semidirect |
| 17. C3×#585 | C22 | semidirect |
| 18. C2×C3×2−1+4 | C22 | semidirect |
| 22. #5968 | C22 | semidirect |
| 23. #5968 | C22 | semidirect |
| 24. #5968 | C22 | semidirect |
| 26. D3×2−1+4 | C22 | semidirect |
| 28. #5966 | C22 | semidirect |
| 30. D3×H(5,𝔽2) | C22 | semidirect |
| 32. #5964 | C22 | semidirect |
| 33. #5964 | C22 | semidirect |
| 35. C2×#1009 | C22 | semidirect |
| 36. C2×#1009 | C22 | semidirect |
| 40. C2×D3×#41 | C22 | semidirect |
| 41. C2×D3×#41 | C22 | semidirect |
| 43. C2×#1007 | C22 | semidirect |
| 45. C22×#239 | C22 | semidirect |
| 46. C3×#578 | C22 | semidirect |
| 47. C3×#577 | C22 | semidirect |
| 48. C3×#575 | C22 | semidirect |
| 49. C2×C3×#137 | C22 | semidirect |
| 50. C3×#568 | C22 | semidirect |
| 51. #5838 | C22 | semidirect |
| 52. #5837 | C22 | semidirect |
| 53. #5837 | C22 | semidirect |
| 54. #5835 | C22 | semidirect |
| 55. #5822 | C22 | semidirect |
| 56. #5822 | C22 | semidirect |
| 57. C2×#949 | C22 | semidirect |
| 58. #5819 | C22 | semidirect |
| 59. C2×#942 | C22 | semidirect |
| 60. #5779 | C22 | semidirect |
| 61. #5778 | C22 | semidirect |
| 62. #5778 | C22 | semidirect |
| 63. #5777 | C22 | semidirect |
| 64. #5777 | C22 | semidirect |
| 65. #5777 | C22 | semidirect |
| 66. #5777 | C22 | semidirect |
| 67. #5777 | C22 | semidirect |
| 68. D3×#137 | C22 | semidirect |
| 69. D3×#137 | C22 | semidirect |
| 70. #5774 | C22 | semidirect |
| 71. #5773 | C22 | semidirect |
| 72. #5773 | C22 | semidirect |
| 73. D3×AGL(1,ℤ/8) | C22 | semidirect |
| 74. D3×AGL(1,ℤ/8) | C22 | semidirect |
| 75. #5770 | C22 | semidirect |
| 76. #5769 | C22 | semidirect |
| 77. #5768 | C22 | semidirect |
| 78. D3×#135 | C22 | semidirect |
| 79. #5766 | C22 | semidirect |
| 80. C2×#919 | C22 | semidirect |
| 81. C2×#918 | C22 | semidirect |
| 82. #5762 | C22 | semidirect |
| 83. C2×#916 | C22 | semidirect |
| 84. C2×#914 | C22 | semidirect |
| 85. #5752 | C22 | semidirect |
| 86. #5751 | C22 | semidirect |
| 87. #5750 | C22 | semidirect |
| 88. D3×#131 | C22 | semidirect |
| 89. #5748 | C22 | semidirect |
| 90. C2×#908 | C22 | semidirect |
| 91. #5745 | C22 | semidirect |
| 92. C2×D3×M16 | C22 | semidirect |
| 98. #3586 | D3 | semidirect |
| 110. C3×2−1+4 | C23 | semidirect |
| 111. C3×2−1+4 | C23 | semidirect |
| 113. C3×H(5,𝔽2) | C23 | semidirect |
| 118. C2×C3×#41 | C23 | semidirect |
| 120. C22×C3×Q8 | C23 | semidirect |
| 124. #1010 | C23 | semidirect |
| 125. #1010 | C23 | semidirect |
| 133. #1009 | C23 | semidirect |
| 134. #1009 | C23 | semidirect |
| 135. #1009 | C23 | semidirect |
| 136. #1009 | C23 | semidirect |
| 158. D3×#41 | C23 | semidirect |
| 159. D3×#41 | C23 | semidirect |
| 160. D3×#41 | C23 | semidirect |
| 167. #1007 | C23 | semidirect |
| 168. #1007 | C23 | semidirect |
| 181. C2×#239 | C23 | semidirect |
| 182. C2×#239 | C23 | semidirect |
| 183. C2×#239 | C23 | semidirect |
| 187. C2×D3×Q8 | C23 | semidirect |
| 188. C2×D3×Q8 | C23 | semidirect |
| 193. #1004 | C23 | semidirect |
| 199. C2×#237 | C23 | semidirect |
| 206. C2×D3×D4 | C23 | semidirect |
| 207. C2×D3×D4 | C23 | semidirect |
| 215. C2×#235 | C23 | semidirect |
| 218. C22×D12 | C23 | semidirect |
| 223. C3×#137 | C23 | semidirect |
| 224. C3×#137 | C23 | semidirect |
| 225. C3×#137 | C23 | semidirect |
| 226. C3×AGL(1,ℤ/8) | C23 | semidirect |
| 227. C3×AGL(1,ℤ/8) | C23 | semidirect |
| 228. C3×#135 | C23 | semidirect |
| 229. C2×C3×Q16 | C23 | semidirect |
| 230. C2×C3×SD16 | C23 | semidirect |
| 231. C3×#131 | C23 | semidirect |
| 232. C2×C3×M16 | C23 | semidirect |
| 233. #951 | C23 | semidirect |
| 234. #951 | C23 | semidirect |
| 235. #950 | C23 | semidirect |
| 236. #950 | C23 | semidirect |
| 237. #949 | C23 | semidirect |
| 238. #949 | C23 | semidirect |
| 239. #949 | C23 | semidirect |
| 240. #948 | C23 | semidirect |
| 241. C2×#216 | C23 | semidirect |
| 242. #942 | C23 | semidirect |
| 243. #942 | C23 | semidirect |
| 244. #942 | C23 | semidirect |
| 245. C2×#215 | C23 | semidirect |
| 246. C2×#215 | C23 | semidirect |
| 247. #932 | C23 | semidirect |
| 248. #932 | C23 | semidirect |
| 249. C2×#213 | C23 | semidirect |
| 250. C2×#208 | C23 | semidirect |
| 251. #919 | C23 | semidirect |
| 252. #919 | C23 | semidirect |
| 253. #918 | C23 | semidirect |
| 254. #918 | C23 | semidirect |
| 255. #918 | C23 | semidirect |
| 256. D3×Q16 | C23 | semidirect |
| 257. #916 | C23 | semidirect |
| 258. #916 | C23 | semidirect |
| 259. #916 | C23 | semidirect |
| 260. #915 | C23 | semidirect |
| 261. #915 | C23 | semidirect |
| 262. #914 | C23 | semidirect |
| 263. #914 | C23 | semidirect |
| 264. #914 | C23 | semidirect |
| 265. D3×SD16 | C23 | semidirect |
| 266. D3×SD16 | C23 | semidirect |
| 267. #912 | C23 | semidirect |
| 268. #911 | C23 | semidirect |
| 269. #911 | C23 | semidirect |
| 270. D3×D8 | C23 | semidirect |
| 271. #909 | C23 | semidirect |
| 272. #909 | C23 | semidirect |
| 273. #908 | C23 | semidirect |
| 274. #908 | C23 | semidirect |
| 275. #908 | C23 | semidirect |
| 276. #907 | C23 | semidirect |
| 278. D3×M16 | C23 | semidirect |
| 279. D3×M16 | C23 | semidirect |
| 280. D3×M16 | C23 | semidirect |
| 281. #904 | C23 | semidirect |
| 282. C2×D24 | C23 | semidirect |
| 283. C2×#204 | C23 | semidirect |
| 284. #901 | C23 | semidirect |
| 285. C2×ΓL(1,𝔽25) | C23 | semidirect |
| 286. C2×D3×C8 | C23 | semidirect |
| 298. #585 | C2×D3 | semidirect |
| 303. C2×2−1+4 | C2×D3 | semidirect |
| 319. #578 | C2×D3 | semidirect |
| 327. #577 | C2×D3 | semidirect |
| 343. #575 | C2×D3 | semidirect |
| 348. C2×#137 | C2×D3 | semidirect |
| 360. #568 | C2×D3 | semidirect |
| 578. 2−1+4 | C22×D3 | semidirect |
| 579. 2−1+4 | C22×D3 | semidirect |
| 597. H(5,𝔽2) | C22×D3 | semidirect |
| 655. C2×#41 | C22×D3 | semidirect |
| 662. C22×Q8 | C22×D3 | semidirect |
| 690. #137 | C22×D3 | semidirect |
| 691. #137 | C22×D3 | semidirect |
| 692. #137 | C22×D3 | semidirect |
| 706. AGL(1,ℤ/8) | C22×D3 | semidirect |
| 707. AGL(1,ℤ/8) | C22×D3 | semidirect |
| 717. #135 | C22×D3 | semidirect |
| 720. C2×Q16 | C22×D3 | semidirect |
| 726. C2×SD16 | C22×D3 | semidirect |
| 733. #131 | C22×D3 | semidirect |
| 740. C2×M16 | C22×D3 | semidirect |
| 1224. C3 | #63090 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D3×#585 | 2 |
| C2×#5968 | 2 |
| C3×#3586 | 2 |
| #87298 | 2 |
| #87287 | 2 |
| #87211 | 2 |
| #87210 | 2 |
| #87207 | 2 |
| #87206 | 2 |
| #87200 | 2 |
| D3×#575 | 2 |
| #87197 | 2 |
| C2×#5777 | 2 |
| #87167 | 2 |
| D3×#568 | 2 |
| #63090 | 3 |