Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
10698 conjugacy classes of subgroups.
The subgroup lattice has 1022 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #87572 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87571 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#3586 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #87297 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#5838 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #87211 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | D3×#578 | C2 | 1 | 8 | yes | maximal, complemented |
| 8 | #87208 | C2 | 1 | 8 | yes | maximal, complemented |
| 9 | #87206 | C2 | 1 | 8 | yes | maximal, complemented |
| 10 | #87201 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | #87199 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #87197 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | C2×#5779 | C2 | 1 | 6 | yes | maximal, complemented |
| 14 | #87168 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #87166 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #63093 | — | 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 | C22 | 1 | 8 | yes | complemented |
| 21 | D3×2−1+4 | — | 2 | 4 | no | — |
| 22 | D3×2−1+4 | — | 2 | 2 | no | — |
| 23 | D3×2−1+4 | C22 | 1 | 8 | yes | complemented |
| 24 | D3×2−1+4 | C22 | 1 | 8 | yes | complemented |
| 25 | #5966 | — | 2 | 6 | no | — |
| 26 | #5966 | C22 | 1 | 8 | yes | complemented |
| 27 | #5964 | — | 2 | 4 | no | — |
| 28 | #5964 | — | 2 | 6 | no | — |
| 29 | #5964 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5964 | C22 | 1 | 6 | yes | complemented |
| 31 | #5964 | C22 | 1 | 6 | yes | complemented |
| 32 | #5964 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#1010 | — | 2 | 4 | no | — |
| 34 | C2×#1010 | C22 | 1 | 6 | yes | complemented |
| 35 | C2×#1010 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×#1007 | — | 2 | 2 | no | — |
| 37 | C2×#1007 | C22 | 1 | 6 | yes | complemented |
| 38 | C3×#578 | C22 | 1 | 8 | yes | complemented |
| 39 | C3×#577 | C22 | 1 | 8 | yes | complemented |
| 40 | C3×#575 | C22 | 1 | 6 | yes | complemented |
| 41 | C2×C3×#137 | C22 | 1 | 6 | yes | complemented |
| 42 | C3×#568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #5838 | C22 | 1 | 4 | yes | complemented |
| 44 | #5838 | C22 | 1 | 8 | yes | complemented |
| 45 | #5838 | C22 | 1 | 8 | yes | complemented |
| 46 | #5837 | C22 | 1 | 4 | yes | complemented |
| 47 | #5836 | C22 | 1 | 4 | yes | complemented |
| 48 | #5835 | C22 | 1 | 4 | yes | complemented |
| 49 | C2×#951 | C22 | 1 | 3 | yes | complemented |
| 50 | #5822 | C22 | 1 | 6 | yes | complemented |
| 51 | C2×#950 | C22 | 1 | 6 | yes | complemented |
| 52 | C2×#950 | C22 | 1 | 3 | yes | complemented |
| 53 | C2×#948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C22×#216 | C22 | 1 | 3 | yes | complemented |
| 55 | C2×#942 | C22 | 1 | 3 | yes | complemented |
| 56 | #5779 | C22 | 1 | 12 | yes | complemented |
| 57 | #5779 | C22 | 1 | 24 | yes | complemented |
| 58 | #5779 | C22 | 1 | 24 | yes | complemented |
| 59 | #5779 | C22 | 1 | 24 | yes | complemented |
| 60 | #5779 | C22 | 1 | 12 | yes | complemented |
| 61 | #5778 | C22 | 1 | 12 | yes | complemented |
| 62 | #5778 | C22 | 1 | 12 | yes | complemented |
| 63 | #5777 | C22 | 1 | 24 | yes | complemented |
| 64 | D3×#137 | C22 | 1 | 24 | yes | complemented |
| 65 | D3×#137 | C22 | 1 | 24 | yes | complemented |
| 66 | #5775 | C22 | 1 | 12 | yes | complemented |
| 67 | #5775 | C22 | 1 | 12 | yes | complemented |
| 68 | #5774 | C22 | 1 | 4 | yes | complemented |
| 69 | #5774 | C22 | 1 | 12 | yes | complemented |
| 70 | #5773 | C22 | 1 | 24 | yes | complemented |
| 71 | #5771 | C22 | 1 | 24 | yes | complemented |
| 72 | #5770 | C22 | 1 | 24 | yes | complemented |
| 73 | #5768 | C22 | 1 | 24 | yes | complemented |
| 74 | D3×#135 | C22 | 1 | 24 | yes | complemented |
| 75 | #5766 | C22 | 1 | 24 | yes | complemented |
| 76 | C2×#918 | C22 | 1 | 12 | yes | complemented |
| 77 | C2×D3×Q16 | C22 | 1 | 12 | yes | complemented |
| 78 | #5762 | C22 | 1 | 24 | yes | complemented |
| 79 | C2×#916 | C22 | 1 | 12 | yes | complemented |
| 80 | C2×#915 | C22 | 1 | 12 | yes | complemented |
| 81 | #5753 | C22 | 1 | 8 | yes | complemented |
| 82 | #5751 | C22 | 1 | 8 | yes | complemented |
| 83 | #5750 | C22 | 1 | 8 | yes | complemented |
| 84 | D3×#131 | C22 | 1 | 8 | yes | complemented |
| 85 | #5748 | C22 | 1 | 6 | yes | complemented |
| 86 | C2×#909 | C22 | 1 | 6 | yes | complemented |
| 87 | #5745 | C22 | 1 | 6 | yes | complemented |
| 88 | C2×#907 | C22 | 1 | 6 | yes | complemented |
| 89 | 2−1+6 | — | 3 | 1 | no | — |
| 90 | 2−1+6 | — | 3 | 1 | no | — |
| 91 | #3586 | — | 3 | 8 | no | — |
| 92 | #3586 | — | 3 | 8 | no | — |
| 93 | #3586 | — | 3 | 6 | no | — |
| 94 | #3586 | — | 3 | 6 | no | — |
| 95 | #3586 | — | 3 | 1 | no | — |
| 96 | #3586 | D3 | 1 | 1 | yes | characteristic, complemented |
| 97 | #3584 | — | 3 | 1 | no | — |
| 98 | #3584 | — | 3 | 8 | no | — |
| 99 | #3584 | — | 3 | 6 | no | — |
| 100 | C2×#578 | — | 3 | 1 | no | — |
| 101 | C2×#578 | — | 3 | 8 | no | — |
| 102 | C2×#578 | — | 3 | 6 | no | — |
| 103 | #3573 | — | 3 | 1 | no | — |
| 104 | C3×2−1+4 | — | 2 | 4 | no | — |
| 105 | C3×2−1+4 | — | 2 | 1 | no | — |
| 106 | C3×2−1+4 | C23 | 1 | 8 | yes | — |
| 107 | C3×2−1+4 | C23 | 1 | 4 | yes | — |
| 108 | C3×H(5,𝔽2) | — | 2 | 3 | no | — |
| 109 | C3×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 110 | C2×C3×#41 | — | 2 | 4 | no | — |
| 111 | C2×C3×#41 | — | 2 | 3 | no | — |
| 112 | C2×C3×#41 | C23 | 1 | 6 | yes | — |
| 113 | C2×C3×#41 | C23 | 1 | 3 | yes | — |
| 114 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 115 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 116 | C22×C3×Q8 | C23 | 1 | 3 | yes | — |
| 117 | #1010 | — | 2 | 4 | no | — |
| 118 | #1010 | — | 2 | 8 | no | — |
| 119 | #1010 | — | 2 | 24 | no | — |
| 120 | #1010 | — | 2 | 24 | no | — |
| 121 | #1010 | — | 2 | 12 | no | — |
| 122 | #1010 | — | 2 | 12 | no | — |
| 123 | #1010 | — | 2 | 6 | no | — |
| 124 | #1010 | — | 2 | 6 | no | — |
| 125 | #1010 | D4 | 1 | 4 | yes | — |
| 126 | #1010 | C23 | 1 | 12 | yes | — |
| 127 | #1010 | C23 | 1 | 24 | yes | — |
| 128 | #1010 | C23 | 1 | 12 | yes | — |
| 129 | #1010 | C23 | 1 | 8 | yes | — |
| 130 | #1010 | C23 | 1 | 4 | yes | — |
| 131 | #1009 | — | 2 | 24 | no | — |
| 132 | #1009 | — | 2 | 6 | no | — |
| 133 | #1009 | — | 2 | 6 | no | — |
| 134 | #1009 | D4 | 1 | 4 | yes | — |
| 135 | #1009 | C23 | 1 | 4 | yes | — |
| 136 | #1009 | C23 | 1 | 12 | yes | — |
| 137 | #1009 | C23 | 1 | 4 | yes | — |
| 138 | D3×#41 | — | 2 | 4 | no | — |
| 139 | D3×#41 | — | 2 | 8 | no | — |
| 140 | D3×#41 | — | 2 | 24 | 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 | C23 | 1 | 24 | yes | — |
| 146 | D3×#41 | C23 | 1 | 24 | yes | — |
| 147 | D3×#41 | C23 | 1 | 8 | yes | — |
| 148 | #1007 | — | 2 | 1 | no | — |
| 149 | #1007 | — | 2 | 8 | no | — |
| 150 | #1007 | — | 2 | 8 | no | — |
| 151 | #1007 | — | 2 | 8 | no | — |
| 152 | #1007 | — | 2 | 12 | no | — |
| 153 | #1007 | — | 2 | 12 | no | — |
| 154 | #1007 | D4 | 1 | 2 | yes | — |
| 155 | #1007 | C23 | 1 | 12 | yes | — |
| 156 | #1007 | C23 | 1 | 24 | yes | — |
| 157 | #1007 | C23 | 1 | 12 | yes | — |
| 158 | C2×#239 | — | 2 | 8 | no | — |
| 159 | C2×#239 | — | 2 | 6 | no | — |
| 160 | C2×#239 | C23 | 1 | 12 | yes | — |
| 161 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 162 | C2×D3×Q8 | — | 2 | 8 | no | — |
| 163 | C2×D3×Q8 | — | 2 | 8 | no | — |
| 164 | C2×D3×Q8 | — | 2 | 6 | no | — |
| 165 | C2×D3×Q8 | C23 | 1 | 12 | yes | — |
| 166 | C2×D3×Q8 | C23 | 1 | 12 | yes | — |
| 167 | #1004 | — | 2 | 3 | no | — |
| 168 | #1004 | — | 2 | 12 | no | — |
| 169 | #1004 | — | 2 | 12 | no | — |
| 170 | #1004 | — | 2 | 24 | no | — |
| 171 | #1004 | D4 | 1 | 6 | yes | — |
| 172 | #1004 | C23 | 1 | 4 | yes | — |
| 173 | #1004 | C23 | 1 | 12 | yes | — |
| 174 | C2×#237 | — | 2 | 3 | no | — |
| 175 | C2×#237 | — | 2 | 12 | no | — |
| 176 | C2×#237 | — | 2 | 24 | no | — |
| 177 | C2×#237 | C23 | 1 | 12 | yes | — |
| 178 | C2×#235 | — | 2 | 12 | no | — |
| 179 | C2×#235 | — | 2 | 12 | no | — |
| 180 | C2×#235 | — | 2 | 12 | no | — |
| 181 | C2×#235 | — | 2 | 6 | no | — |
| 182 | C2×#235 | C23 | 1 | 6 | yes | — |
| 183 | C2×#235 | C23 | 1 | 6 | yes | — |
| 184 | C2×#235 | C23 | 1 | 3 | yes | — |
| 185 | C22×Dic6 | — | 2 | 6 | no | — |
| 186 | C22×Dic6 | C23 | 1 | 3 | yes | — |
| 187 | C3×#137 | C23 | 1 | 12 | yes | — |
| 188 | C3×#137 | C23 | 1 | 24 | yes | — |
| 189 | C3×#137 | C23 | 1 | 12 | yes | — |
| 190 | C3×AGL(1,ℤ/8) | C23 | 1 | 4 | yes | — |
| 191 | C3×AGL(1,ℤ/8) | C23 | 1 | 12 | yes | — |
| 192 | C3×#135 | C23 | 1 | 24 | yes | — |
| 193 | C2×C3×Q16 | C23 | 1 | 12 | yes | — |
| 194 | C2×C3×SD16 | C23 | 1 | 12 | yes | — |
| 195 | C3×#131 | C23 | 1 | 8 | yes | — |
| 196 | C2×C3×M16 | C23 | 1 | 6 | yes | — |
| 197 | #951 | C23 | 1 | 24 | yes | — |
| 198 | #951 | C23 | 1 | 12 | yes | — |
| 199 | #950 | C23 | 1 | 12 | yes | — |
| 200 | #950 | C23 | 1 | 12 | yes | — |
| 201 | #950 | C23 | 1 | 12 | yes | — |
| 202 | #950 | C23 | 1 | 12 | yes | — |
| 203 | #950 | C23 | 1 | 4 | yes | — |
| 204 | #950 | C23 | 1 | 12 | yes | — |
| 205 | #949 | C23 | 1 | 12 | yes | — |
| 206 | #948 | C23 | 1 | 4 | yes | — |
| 207 | #948 | C23 | 1 | 4 | yes | — |
| 208 | C2×#216 | C23 | 1 | 12 | yes | — |
| 209 | C2×#216 | C23 | 1 | 12 | yes | — |
| 210 | C2×#216 | C23 | 1 | 6 | yes | — |
| 211 | C2×#216 | C23 | 1 | 6 | yes | — |
| 212 | C2×#216 | C23 | 1 | 3 | yes | — |
| 213 | #942 | C23 | 1 | 24 | yes | — |
| 214 | #942 | C23 | 1 | 12 | yes | — |
| 215 | C2×#215 | C23 | 1 | 6 | yes | — |
| 216 | C2×#215 | C23 | 1 | 3 | yes | — |
| 217 | C2×#214 | C23 | 1 | 6 | yes | — |
| 218 | C2×#214 | C23 | 1 | 3 | yes | — |
| 219 | #932 | C23 | 1 | 12 | yes | — |
| 220 | C2×#213 | C23 | 1 | 6 | yes | — |
| 221 | C2×#213 | C23 | 1 | 1 | yes | characteristic |
| 222 | C2×#208 | C23 | 1 | 3 | yes | — |
| 223 | C22×C3⋊C8 | C23 | 1 | 3 | yes | — |
| 224 | #919 | C23 | 1 | 24 | yes | — |
| 225 | #918 | C23 | 1 | 24 | yes | — |
| 226 | #918 | C23 | 1 | 48 | yes | — |
| 227 | #918 | C23 | 1 | 24 | yes | — |
| 228 | D3×Q16 | C23 | 1 | 24 | yes | — |
| 229 | D3×Q16 | C23 | 1 | 48 | yes | — |
| 230 | #916 | C23 | 1 | 24 | yes | — |
| 231 | #916 | C23 | 1 | 48 | yes | — |
| 232 | #916 | C23 | 1 | 8 | yes | — |
| 233 | #915 | C23 | 1 | 24 | yes | — |
| 234 | #915 | C23 | 1 | 48 | yes | — |
| 235 | #915 | C23 | 1 | 24 | yes | — |
| 236 | #914 | C23 | 1 | 24 | yes | — |
| 237 | #914 | C23 | 1 | 8 | yes | — |
| 238 | D3×SD16 | C23 | 1 | 24 | yes | — |
| 239 | D3×SD16 | C23 | 1 | 24 | yes | — |
| 240 | #912 | C23 | 1 | 24 | yes | — |
| 241 | #911 | C23 | 1 | 8 | yes | — |
| 242 | #911 | C23 | 1 | 24 | yes | — |
| 243 | D3×D8 | C23 | 1 | 8 | yes | — |
| 244 | #909 | C23 | 1 | 12 | yes | — |
| 245 | #909 | C23 | 1 | 24 | yes | — |
| 246 | #909 | C23 | 1 | 12 | yes | — |
| 247 | #908 | C23 | 1 | 4 | yes | — |
| 248 | #908 | C23 | 1 | 12 | yes | — |
| 249 | #907 | C23 | 1 | 4 | yes | — |
| 250 | #907 | C23 | 1 | 12 | yes | — |
| 251 | #907 | C23 | 1 | 12 | yes | — |
| 252 | #907 | C23 | 1 | 12 | yes | — |
| 253 | D3×M16 | C23 | 1 | 24 | yes | — |
| 254 | C2×Dic12 | C23 | 1 | 12 | yes | — |
| 255 | #904 | C23 | 1 | 24 | yes | — |
| 256 | C2×#204 | C23 | 1 | 12 | yes | — |
| 257 | #901 | C23 | 1 | 24 | yes | — |
| 258 | C2×ΓL(1,𝔽25) | C23 | 1 | 12 | yes | — |
| 259 | C2×D3×C8 | C23 | 1 | 12 | yes | — |
| 260 | #585 | — | 3 | 1 | no | — |
| 261 | #585 | — | 3 | 8 | no | — |
| 262 | #585 | — | 3 | 8 | no | — |
| 263 | #585 | — | 3 | 6 | no | — |
| 264 | #585 | — | 3 | 6 | no | — |
| 265 | #585 | — | 3 | 1 | no | — |
| 266 | #585 | — | 6 | 4 | no | — |
| 267 | #585 | — | 6 | 6 | no | — |
| 268 | #585 | — | 6 | 6 | no | — |
| 269 | #585 | — | 6 | 4 | no | — |
| 270 | #585 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 271 | C2×2−1+4 | — | 3 | 8 | no | — |
| 272 | C2×2−1+4 | — | 3 | 8 | no | — |
| 273 | C2×2−1+4 | — | 3 | 6 | no | — |
| 274 | C2×2−1+4 | — | 3 | 1 | no | — |
| 275 | C2×2−1+4 | — | 3 | 6 | no | — |
| 276 | C2×2−1+4 | — | 6 | 2 | no | — |
| 277 | C2×2−1+4 | — | 6 | 4 | no | — |
| 278 | C2×2−1+4 | — | 6 | 4 | no | — |
| 279 | C2×2−1+4 | — | 6 | 2 | no | — |
| 280 | C2×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 281 | #578 | — | 3 | 4 | no | — |
| 282 | #578 | — | 3 | 8 | no | — |
| 283 | #578 | — | 3 | 8 | no | — |
| 284 | #578 | — | 3 | 12 | no | — |
| 285 | #578 | — | 3 | 24 | no | — |
| 286 | #578 | — | 3 | 12 | no | — |
| 287 | #578 | — | 3 | 24 | no | — |
| 288 | #578 | — | 3 | 24 | no | — |
| 289 | #578 | — | 3 | 24 | no | — |
| 290 | #578 | — | 3 | 24 | no | — |
| 291 | #578 | — | 3 | 8 | no | — |
| 292 | #578 | C2×D3 | 1 | 8 | yes | complemented |
| 293 | #577 | — | 3 | 4 | no | — |
| 294 | #577 | — | 3 | 4 | no | — |
| 295 | #577 | — | 3 | 12 | no | — |
| 296 | #577 | — | 3 | 12 | no | — |
| 297 | #577 | — | 3 | 12 | no | — |
| 298 | #577 | — | 3 | 12 | no | — |
| 299 | #577 | — | 3 | 24 | no | — |
| 300 | #577 | — | 3 | 24 | no | — |
| 301 | #577 | — | 3 | 8 | no | — |
| 302 | #577 | C2×D3 | 1 | 8 | yes | complemented |
| 303 | #576 | — | 3 | 4 | no | — |
| 304 | #576 | — | 3 | 12 | no | — |
| 305 | #576 | — | 3 | 4 | no | — |
| 306 | #575 | — | 3 | 6 | no | — |
| 307 | #575 | — | 3 | 24 | no | — |
| 308 | #575 | — | 3 | 24 | no | — |
| 309 | #575 | — | 3 | 24 | no | — |
| 310 | #575 | — | 3 | 6 | no | — |
| 311 | #575 | C2×D3 | 1 | 6 | yes | complemented |
| 312 | C2×#137 | — | 3 | 3 | no | — |
| 313 | C2×#137 | — | 3 | 3 | no | — |
| 314 | C2×#137 | — | 3 | 24 | no | — |
| 315 | C2×#137 | — | 3 | 24 | no | — |
| 316 | C2×#137 | — | 3 | 12 | no | — |
| 317 | C2×#137 | — | 3 | 12 | no | — |
| 318 | C2×#137 | — | 3 | 6 | no | — |
| 319 | C2×#137 | C2×D3 | 1 | 6 | yes | complemented |
| 320 | C2×#135 | — | 3 | 3 | no | — |
| 321 | C2×#135 | — | 3 | 6 | no | — |
| 322 | C2×#135 | — | 3 | 24 | no | — |
| 323 | C2×#135 | — | 3 | 12 | no | — |
| 324 | C22×Q16 | — | 3 | 3 | no | — |
| 325 | C22×Q16 | — | 3 | 12 | no | — |
| 326 | #568 | — | 3 | 8 | no | — |
| 327 | #568 | — | 3 | 6 | no | — |
| 328 | #568 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 329 | C2×#131 | — | 3 | 1 | no | — |
| 330 | C2×#131 | — | 3 | 8 | no | — |
| 331 | C2×#131 | — | 3 | 6 | no | — |
| 332 | C3×#41 | — | 2 | 4 | no | — |
| 333 | C3×#41 | — | 2 | 24 | no | — |
| 334 | C3×#41 | — | 2 | 12 | no | — |
| 335 | C3×#41 | — | 2 | 6 | no | — |
| 336 | C3×#41 | — | 2 | 6 | no | — |
| 337 | C3×#41 | — | 2 | 6 | no | — |
| 338 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 339 | C3×#41 | C24 | 1 | 12 | yes | — |
| 340 | C3×#41 | C24 | 1 | 4 | yes | — |
| 341 | C3×#41 | C24 | 1 | 12 | yes | — |
| 342 | C3×#41 | C24 | 1 | 4 | yes | — |
| 343 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 344 | C2×C3×Q8 | — | 2 | 8 | no | — |
| 345 | C2×C3×Q8 | — | 2 | 6 | no | — |
| 346 | C2×C3×Q8 | — | 2 | 3 | no | — |
| 347 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 348 | C2×C3×Q8 | C24 | 1 | 6 | yes | — |
| 349 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 350 | C2×C3×Q8 | C24 | 1 | 12 | yes | — |
| 351 | C2×C3×D4 | — | 2 | 6 | no | — |
| 352 | C2×C3×D4 | — | 2 | 3 | no | — |
| 353 | C2×C3×D4 | — | 2 | 12 | no | — |
| 354 | C2×C3×D4 | C2×D4 | 1 | 3 | yes | — |
| 355 | C2×C3×D4 | C24 | 1 | 6 | yes | — |
| 356 | C2×C3×D4 | C24 | 1 | 1 | yes | characteristic |
| 357 | C22×C3×C4 | — | 2 | 3 | no | — |
| 358 | C22×C3×C4 | — | 2 | 6 | no | — |
| 359 | C22×C3×C4 | — | 2 | 3 | no | — |
| 360 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 361 | C2×#67 | — | 2 | 6 | no | — |
| 362 | C2×#67 | — | 2 | 3 | no | — |
| 363 | C2×#67 | — | 2 | 12 | no | — |
| 364 | C2×#67 | — | 2 | 8 | no | — |
| 365 | C2×#67 | — | 2 | 24 | no | — |
| 366 | C2×#67 | C2×D4 | 1 | 12 | yes | — |
| 367 | C22×Dic3 | — | 2 | 3 | no | — |
| 368 | C22×Dic3 | — | 2 | 12 | no | — |
| 369 | #239 | — | 2 | 4 | no | — |
| 370 | #239 | — | 2 | 12 | no | — |
| 371 | #239 | — | 2 | 24 | no | — |
| 372 | #239 | — | 2 | 12 | no | — |
| 373 | #239 | — | 2 | 24 | no | — |
| 374 | #239 | C2×D4 | 1 | 8 | yes | — |
| 375 | #239 | C24 | 1 | 24 | yes | — |
| 376 | #239 | C24 | 1 | 8 | yes | — |
| 377 | D3×Q8 | — | 2 | 4 | no | — |
| 378 | D3×Q8 | — | 2 | 8 | no | — |
| 379 | D3×Q8 | — | 2 | 24 | no | — |
| 380 | D3×Q8 | — | 2 | 24 | no | — |
| 381 | D3×Q8 | — | 2 | 12 | no | — |
| 382 | D3×Q8 | — | 2 | 24 | no | — |
| 383 | D3×Q8 | — | 2 | 12 | no | — |
| 384 | D3×Q8 | C2×D4 | 1 | 8 | yes | — |
| 385 | D3×Q8 | C24 | 1 | 24 | yes | — |
| 386 | D3×Q8 | C24 | 1 | 24 | yes | — |
| 387 | #237 | — | 2 | 24 | no | — |
| 388 | #237 | — | 2 | 12 | no | — |
| 389 | #237 | — | 2 | 24 | no | — |
| 390 | #237 | — | 2 | 48 | no | — |
| 391 | #237 | — | 2 | 24 | no | — |
| 392 | #237 | — | 2 | 24 | no | — |
| 393 | #237 | — | 2 | 24 | no | — |
| 394 | #237 | — | 2 | 24 | no | — |
| 395 | #237 | — | 2 | 12 | no | — |
| 396 | #237 | — | 2 | 4 | no | — |
| 397 | #237 | C2×D4 | 1 | 24 | yes | — |
| 398 | #237 | C24 | 1 | 8 | yes | — |
| 399 | #237 | C24 | 1 | 24 | yes | — |
| 400 | D3×D4 | — | 2 | 24 | no | — |
| 401 | D3×D4 | — | 2 | 24 | no | — |
| 402 | D3×D4 | — | 2 | 12 | no | — |
| 403 | D3×D4 | — | 2 | 8 | no | — |
| 404 | D3×D4 | — | 2 | 24 | no | — |
| 405 | D3×D4 | — | 2 | 12 | no | — |
| 406 | D3×D4 | — | 2 | 4 | no | — |
| 407 | D3×D4 | C2×D4 | 1 | 24 | yes | — |
| 408 | D3×D4 | C24 | 1 | 8 | yes | — |
| 409 | D3×D4 | C24 | 1 | 8 | yes | — |
| 410 | #235 | — | 2 | 6 | no | — |
| 411 | #235 | — | 2 | 6 | no | — |
| 412 | #235 | — | 2 | 6 | no | — |
| 413 | #235 | — | 2 | 24 | no | — |
| 414 | #235 | — | 2 | 24 | no | — |
| 415 | #235 | — | 2 | 48 | no | — |
| 416 | #235 | — | 2 | 12 | no | — |
| 417 | #235 | — | 2 | 24 | no | — |
| 418 | #235 | — | 2 | 12 | no | — |
| 419 | #235 | — | 2 | 24 | no | — |
| 420 | #235 | — | 2 | 24 | no | — |
| 421 | #235 | — | 2 | 4 | no | — |
| 422 | #235 | — | 2 | 12 | no | — |
| 423 | #235 | C2×D4 | 1 | 12 | yes | — |
| 424 | #235 | C2×D4 | 1 | 12 | yes | — |
| 425 | #235 | C24 | 1 | 12 | yes | — |
| 426 | #235 | C24 | 1 | 4 | yes | — |
| 427 | #235 | C24 | 1 | 12 | yes | — |
| 428 | #235 | C24 | 1 | 12 | yes | — |
| 429 | #235 | C24 | 1 | 4 | yes | — |
| 430 | C2×D12 | — | 2 | 12 | no | — |
| 431 | C2×D12 | — | 2 | 4 | no | — |
| 432 | C2×D12 | — | 2 | 12 | no | — |
| 433 | C2×D12 | C2×D4 | 1 | 6 | yes | — |
| 434 | C2×D12 | C24 | 1 | 6 | yes | — |
| 435 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 436 | C2×C4×D3 | — | 2 | 12 | no | — |
| 437 | C2×C4×D3 | — | 2 | 12 | no | — |
| 438 | C2×C4×D3 | — | 2 | 3 | no | — |
| 439 | C2×C4×D3 | — | 2 | 6 | no | — |
| 440 | C2×C4×D3 | — | 2 | 12 | no | — |
| 441 | C2×C4×D3 | — | 2 | 24 | no | — |
| 442 | C2×C4×D3 | — | 2 | 24 | no | — |
| 443 | C2×C4×D3 | C24 | 1 | 12 | yes | — |
| 444 | C2×Dic6 | — | 2 | 6 | no | — |
| 445 | C2×Dic6 | — | 2 | 3 | no | — |
| 446 | C2×Dic6 | — | 2 | 12 | no | — |
| 447 | C2×Dic6 | — | 2 | 12 | no | — |
| 448 | C2×Dic6 | — | 2 | 12 | no | — |
| 449 | C2×Dic6 | — | 2 | 24 | no | — |
| 450 | C2×Dic6 | — | 2 | 12 | no | — |
| 451 | C2×Dic6 | C2×D4 | 1 | 6 | yes | — |
| 452 | C2×Dic6 | C24 | 1 | 12 | yes | — |
| 453 | C2×Dic6 | C24 | 1 | 6 | yes | — |
| 454 | C2×Dic6 | C24 | 1 | 3 | yes | — |
| 455 | C3×Q16 | C24 | 1 | 24 | yes | — |
| 456 | C3×SD16 | C24 | 1 | 8 | yes | — |
| 457 | C3×SD16 | C24 | 1 | 24 | yes | — |
| 458 | C3×D8 | C24 | 1 | 8 | yes | — |
| 459 | C3×M16 | C24 | 1 | 12 | yes | — |
| 460 | C3×M16 | C24 | 1 | 4 | yes | — |
| 461 | C2×C3×C8 | C24 | 1 | 12 | yes | — |
| 462 | #216 | C24 | 1 | 6 | yes | — |
| 463 | #216 | C24 | 1 | 24 | yes | — |
| 464 | #216 | C24 | 1 | 12 | yes | — |
| 465 | #216 | C24 | 1 | 6 | yes | — |
| 466 | #216 | C24 | 1 | 4 | yes | — |
| 467 | #215 | C24 | 1 | 12 | yes | — |
| 468 | #215 | C24 | 1 | 12 | yes | — |
| 469 | #215 | C24 | 1 | 4 | yes | — |
| 470 | #214 | C24 | 1 | 12 | yes | — |
| 471 | #214 | C24 | 1 | 4 | yes | — |
| 472 | #214 | C24 | 1 | 12 | yes | — |
| 473 | #213 | C24 | 1 | 2 | yes | — |
| 474 | #213 | C24 | 1 | 4 | yes | — |
| 475 | #213 | C24 | 1 | 2 | yes | — |
| 476 | #213 | C24 | 1 | 12 | yes | — |
| 477 | #208 | C24 | 1 | 12 | yes | — |
| 478 | C2×C3⋊C8 | C24 | 1 | 6 | yes | — |
| 479 | C2×C3⋊C8 | C24 | 1 | 6 | yes | — |
| 480 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 481 | C2×C3⋊C8 | C24 | 1 | 3 | yes | — |
| 482 | Dic12 | C24 | 1 | 24 | yes | — |
| 483 | D24 | C24 | 1 | 8 | yes | — |
| 484 | #204 | C24 | 1 | 24 | yes | — |
| 485 | #204 | C24 | 1 | 8 | yes | — |
| 486 | ΓL(1,𝔽25) | C24 | 1 | 8 | yes | — |
| 487 | ΓL(1,𝔽25) | C24 | 1 | 24 | yes | — |
| 488 | D3×C8 | C24 | 1 | 8 | yes | — |
| 489 | D3×C8 | C24 | 1 | 24 | yes | — |
| 490 | 2−1+4 | — | 2 | 4 | no | — |
| 491 | 2−1+4 | — | 2 | 1 | no | — |
| 492 | 2−1+4 | — | 3 | 4 | no | — |
| 493 | 2−1+4 | — | 3 | 2 | no | — |
| 494 | 2−1+4 | — | 3 | 12 | no | — |
| 495 | 2−1+4 | — | 3 | 24 | no | — |
| 496 | 2−1+4 | — | 3 | 12 | no | — |
| 497 | 2−1+4 | — | 3 | 4 | no | — |
| 498 | 2−1+4 | — | 3 | 8 | no | — |
| 499 | 2−1+4 | — | 3 | 12 | no | — |
| 500 | 2−1+4 | — | 3 | 12 | no | — |
| 501 | 2−1+4 | — | 3 | 24 | no | — |
| 502 | 2−1+4 | — | 6 | 8 | no | — |
| 503 | 2−1+4 | — | 6 | 8 | no | — |
| 504 | 2−1+4 | — | 6 | 8 | no | — |
| 505 | 2−1+4 | — | 6 | 12 | no | — |
| 506 | 2−1+4 | — | 6 | 12 | no | — |
| 507 | 2−1+4 | — | 6 | 8 | no | — |
| 508 | 2−1+4 | — | 6 | 6 | no | — |
| 509 | 2−1+4 | — | 6 | 6 | no | — |
| 510 | 2−1+4 | — | 6 | 24 | no | — |
| 511 | 2−1+4 | — | 6 | 24 | no | — |
| 512 | 2−1+4 | — | 6 | 12 | no | — |
| 513 | 2−1+4 | — | 6 | 12 | no | — |
| 514 | 2−1+4 | — | 6 | 4 | no | — |
| 515 | 2−1+4 | — | 6 | 1 | no | — |
| 516 | 2−1+4 | C22×D3 | 1 | 4 | yes | — |
| 517 | 2−1+4 | C22×D3 | 1 | 8 | yes | — |
| 518 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 519 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 520 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 521 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 522 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 523 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 524 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 525 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 526 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 527 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 528 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 529 | H(5,𝔽2) | — | 6 | 24 | no | — |
| 530 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 531 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 532 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 533 | H(5,𝔽2) | C22×D3 | 1 | 4 | yes | — |
| 534 | C2×#41 | — | 2 | 4 | no | — |
| 535 | C2×#41 | — | 2 | 3 | no | — |
| 536 | C2×#41 | — | 3 | 8 | no | — |
| 537 | C2×#41 | — | 3 | 6 | no | — |
| 538 | C2×#41 | — | 3 | 24 | no | — |
| 539 | C2×#41 | — | 3 | 24 | no | — |
| 540 | C2×#41 | — | 3 | 12 | no | — |
| 541 | C2×#41 | — | 3 | 12 | no | — |
| 542 | C2×#41 | — | 3 | 3 | no | — |
| 543 | C2×#41 | — | 3 | 6 | no | — |
| 544 | C2×#41 | — | 6 | 12 | no | — |
| 545 | C2×#41 | — | 6 | 6 | no | — |
| 546 | C2×#41 | — | 6 | 12 | no | — |
| 547 | C2×#41 | — | 6 | 12 | no | — |
| 548 | C2×#41 | — | 6 | 12 | no | — |
| 549 | C2×#41 | — | 6 | 24 | no | — |
| 550 | C2×#41 | — | 6 | 6 | no | — |
| 551 | C2×#41 | — | 6 | 24 | no | — |
| 552 | C2×#41 | — | 6 | 24 | no | — |
| 553 | C2×#41 | — | 6 | 8 | no | — |
| 554 | C2×#41 | — | 6 | 8 | no | — |
| 555 | C2×#41 | — | 6 | 24 | no | — |
| 556 | C2×#41 | — | 6 | 12 | no | — |
| 557 | C2×#41 | — | 6 | 12 | no | — |
| 558 | C2×#41 | — | 6 | 4 | no | — |
| 559 | C2×#41 | — | 6 | 3 | no | — |
| 560 | C2×#41 | C22×D3 | 1 | 3 | yes | — |
| 561 | C2×#41 | C22×D3 | 1 | 6 | yes | — |
| 562 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 563 | C22×Q8 | — | 2 | 1 | no | — |
| 564 | C22×Q8 | — | 3 | 12 | no | — |
| 565 | C22×Q8 | — | 3 | 12 | no | — |
| 566 | C22×Q8 | — | 3 | 3 | no | — |
| 567 | C22×Q8 | — | 6 | 6 | no | — |
| 568 | C22×Q8 | — | 6 | 8 | no | — |
| 569 | C22×Q8 | — | 6 | 8 | no | — |
| 570 | C22×Q8 | — | 6 | 6 | no | — |
| 571 | C22×Q8 | — | 6 | 1 | no | — |
| 572 | C22×Q8 | C22×D3 | 1 | 3 | yes | — |
| 573 | #137 | — | 3 | 12 | no | — |
| 574 | #137 | — | 3 | 24 | no | — |
| 575 | #137 | — | 3 | 12 | no | — |
| 576 | #137 | — | 3 | 24 | no | — |
| 577 | #137 | — | 3 | 24 | no | — |
| 578 | #137 | — | 3 | 48 | no | — |
| 579 | #137 | — | 3 | 24 | no | — |
| 580 | #137 | — | 3 | 24 | no | — |
| 581 | #137 | — | 3 | 48 | no | — |
| 582 | #137 | — | 3 | 24 | no | — |
| 583 | #137 | — | 3 | 12 | no | — |
| 584 | #137 | — | 3 | 24 | no | — |
| 585 | #137 | — | 3 | 12 | no | — |
| 586 | #137 | C22×D3 | 1 | 12 | yes | — |
| 587 | #137 | C22×D3 | 1 | 24 | yes | — |
| 588 | #137 | C22×D3 | 1 | 12 | yes | — |
| 589 | AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 590 | AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 591 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 592 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 593 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 594 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 595 | AGL(1,ℤ/8) | — | 3 | 12 | no | — |
| 596 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 597 | AGL(1,ℤ/8) | C22×D3 | 1 | 12 | yes | — |
| 598 | AGL(1,ℤ/8) | C22×D3 | 1 | 4 | yes | — |
| 599 | #135 | — | 3 | 4 | no | — |
| 600 | #135 | — | 3 | 12 | no | — |
| 601 | #135 | — | 3 | 12 | no | — |
| 602 | #135 | — | 3 | 12 | no | — |
| 603 | #135 | — | 3 | 12 | no | — |
| 604 | #135 | — | 3 | 12 | no | — |
| 605 | #135 | — | 3 | 24 | no | — |
| 606 | #135 | — | 3 | 8 | no | — |
| 607 | #135 | — | 3 | 24 | no | — |
| 608 | #135 | — | 3 | 48 | no | — |
| 609 | #135 | — | 3 | 24 | no | — |
| 610 | #135 | — | 3 | 24 | no | — |
| 611 | #135 | C22×D3 | 1 | 24 | yes | — |
| 612 | C2×Q16 | — | 3 | 3 | no | — |
| 613 | C2×Q16 | — | 3 | 6 | no | — |
| 614 | C2×Q16 | — | 3 | 12 | no | — |
| 615 | C2×Q16 | — | 3 | 6 | no | — |
| 616 | C2×Q16 | — | 3 | 12 | no | — |
| 617 | C2×Q16 | — | 3 | 24 | no | — |
| 618 | C2×Q16 | — | 3 | 48 | no | — |
| 619 | C2×Q16 | — | 3 | 12 | no | — |
| 620 | C2×Q16 | C22×D3 | 1 | 12 | yes | — |
| 621 | C2×SD16 | — | 3 | 3 | no | — |
| 622 | C2×SD16 | — | 3 | 6 | no | — |
| 623 | C2×SD16 | — | 3 | 3 | no | — |
| 624 | C2×SD16 | — | 3 | 6 | no | — |
| 625 | C2×SD16 | — | 3 | 24 | no | — |
| 626 | C2×SD16 | — | 3 | 24 | no | — |
| 627 | C2×SD16 | — | 3 | 12 | no | — |
| 628 | C2×SD16 | C22×D3 | 1 | 12 | yes | — |
| 629 | C2×D8 | — | 3 | 1 | no | — |
| 630 | C2×D8 | — | 3 | 6 | no | — |
| 631 | C2×D8 | — | 3 | 8 | no | — |
| 632 | #131 | — | 3 | 4 | no | — |
| 633 | #131 | — | 3 | 4 | no | — |
| 634 | #131 | — | 3 | 12 | no | — |
| 635 | #131 | — | 3 | 4 | no | — |
| 636 | #131 | — | 3 | 12 | no | — |
| 637 | #131 | — | 3 | 12 | no | — |
| 638 | #131 | — | 3 | 24 | no | — |
| 639 | #131 | C22×D3 | 1 | 8 | yes | — |
| 640 | C2×M16 | — | 3 | 3 | no | — |
| 641 | C2×M16 | — | 3 | 24 | no | — |
| 642 | C2×M16 | — | 3 | 12 | no | — |
| 643 | C2×M16 | C22×D3 | 1 | 6 | yes | — |
| 644 | C22×C8 | — | 3 | 3 | no | — |
| 645 | C22×C8 | — | 3 | 12 | no | — |
| 646 | C23×C3 | — | 2 | 6 | no | — |
| 647 | C23×C3 | — | 2 | 1 | no | — |
| 648 | C23×C3 | C22×D4 | 1 | 3 | yes | — |
| 649 | C22×D3 | — | 2 | 6 | no | — |
| 650 | C22×D3 | — | 2 | 1 | no | — |
| 651 | C22×D3 | — | 2 | 8 | no | — |
| 652 | C22×D3 | — | 2 | 8 | no | — |
| 653 | C22×D3 | C22×D4 | 1 | 12 | yes | — |
| 654 | C3×Q8 | — | 2 | 6 | no | — |
| 655 | C3×Q8 | — | 2 | 3 | no | — |
| 656 | C3×Q8 | — | 2 | 12 | no | — |
| 657 | C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 658 | C3×Q8 | C25 | 1 | 4 | yes | — |
| 659 | C3×Q8 | C25 | 1 | 6 | yes | — |
| 660 | C3×D4 | — | 2 | 12 | no | — |
| 661 | C3×D4 | — | 2 | 12 | no | — |
| 662 | C3×D4 | — | 2 | 4 | no | — |
| 663 | C3×D4 | — | 2 | 1 | no | — |
| 664 | C3×D4 | — | 2 | 6 | no | — |
| 665 | C3×D4 | C22×D4 | 1 | 12 | yes | — |
| 666 | C3×D4 | C25 | 1 | 4 | yes | — |
| 667 | C3×D4 | C25 | 1 | 2 | yes | — |
| 668 | C2×C3×C4 | — | 2 | 6 | no | — |
| 669 | C2×C3×C4 | — | 2 | 12 | no | — |
| 670 | C2×C3×C4 | — | 2 | 3 | no | — |
| 671 | C2×C3×C4 | — | 2 | 4 | no | — |
| 672 | C2×C3×C4 | — | 2 | 12 | no | — |
| 673 | C2×C3×C4 | — | 2 | 12 | no | — |
| 674 | C2×C3×C4 | C22×D4 | 1 | 6 | yes | — |
| 675 | C2×C3×C4 | C22×D4 | 1 | 3 | yes | — |
| 676 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 677 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 678 | #67 | — | 2 | 4 | no | — |
| 679 | #67 | — | 2 | 12 | no | — |
| 680 | #67 | — | 2 | 12 | no | — |
| 681 | #67 | — | 2 | 8 | no | — |
| 682 | #67 | — | 2 | 24 | no | — |
| 683 | #67 | — | 2 | 8 | no | — |
| 684 | #67 | — | 2 | 8 | no | — |
| 685 | #67 | C22×D4 | 1 | 8 | yes | — |
| 686 | #67 | C22×D4 | 1 | 24 | yes | — |
| 687 | C2×Dic3 | — | 2 | 6 | no | — |
| 688 | C2×Dic3 | — | 2 | 12 | no | — |
| 689 | C2×Dic3 | — | 2 | 3 | no | — |
| 690 | C2×Dic3 | — | 2 | 8 | no | — |
| 691 | C2×Dic3 | — | 2 | 24 | no | — |
| 692 | C2×Dic3 | C22×D4 | 1 | 12 | yes | — |
| 693 | D12 | — | 2 | 24 | no | — |
| 694 | D12 | — | 2 | 8 | no | — |
| 695 | D12 | — | 2 | 1 | no | — |
| 696 | D12 | — | 2 | 6 | no | — |
| 697 | D12 | C22×D4 | 1 | 4 | yes | — |
| 698 | D12 | C22×D4 | 1 | 12 | yes | — |
| 699 | D12 | C25 | 1 | 4 | yes | — |
| 700 | D12 | C25 | 1 | 2 | yes | — |
| 701 | C4×D3 | — | 2 | 24 | no | — |
| 702 | C4×D3 | — | 2 | 24 | no | — |
| 703 | C4×D3 | — | 2 | 12 | no | — |
| 704 | C4×D3 | — | 2 | 4 | no | — |
| 705 | C4×D3 | — | 2 | 12 | no | — |
| 706 | C4×D3 | — | 2 | 8 | no | — |
| 707 | C4×D3 | — | 2 | 24 | no | — |
| 708 | C4×D3 | C22×D4 | 1 | 24 | yes | — |
| 709 | C4×D3 | C25 | 1 | 8 | yes | — |
| 710 | Dic6 | — | 2 | 3 | no | — |
| 711 | Dic6 | — | 2 | 12 | no | — |
| 712 | Dic6 | — | 2 | 6 | no | — |
| 713 | Dic6 | — | 2 | 24 | no | — |
| 714 | Dic6 | — | 2 | 24 | no | — |
| 715 | Dic6 | C22×D4 | 1 | 4 | yes | — |
| 716 | Dic6 | C22×D4 | 1 | 12 | yes | — |
| 717 | Dic6 | C25 | 1 | 6 | yes | — |
| 718 | Dic6 | C25 | 1 | 4 | yes | — |
| 719 | C3×C8 | C25 | 1 | 8 | yes | — |
| 720 | C3⋊C8 | C25 | 1 | 1 | yes | characteristic |
| 721 | C3⋊C8 | C25 | 1 | 6 | yes | — |
| 722 | C3⋊C8 | C25 | 1 | 1 | yes | characteristic |
| 723 | #41 | — | 2 | 4 | no | — |
| 724 | #41 | — | 2 | 12 | no | — |
| 725 | #41 | — | 2 | 24 | no | — |
| 726 | #41 | — | 2 | 6 | no | — |
| 727 | #41 | — | 2 | 6 | no | — |
| 728 | #41 | — | 2 | 6 | no | — |
| 729 | #41 | — | 3 | 8 | no | — |
| 730 | #41 | — | 3 | 24 | no | — |
| 731 | #41 | — | 3 | 12 | no | — |
| 732 | #41 | — | 3 | 12 | no | — |
| 733 | #41 | — | 3 | 4 | no | — |
| 734 | #41 | — | 3 | 12 | no | — |
| 735 | #41 | — | 3 | 8 | no | — |
| 736 | #41 | — | 3 | 24 | no | — |
| 737 | #41 | — | 3 | 24 | no | — |
| 738 | #41 | — | 3 | 8 | no | — |
| 739 | #41 | — | 3 | 4 | no | — |
| 740 | #41 | — | 3 | 12 | no | — |
| 741 | #41 | — | 3 | 12 | no | — |
| 742 | #41 | — | 6 | 24 | no | — |
| 743 | #41 | — | 6 | 24 | no | — |
| 744 | #41 | — | 6 | 24 | no | — |
| 745 | #41 | — | 6 | 24 | no | — |
| 746 | #41 | — | 6 | 48 | no | — |
| 747 | #41 | — | 6 | 12 | no | — |
| 748 | #41 | — | 6 | 24 | no | — |
| 749 | #41 | — | 6 | 12 | no | — |
| 750 | #41 | — | 6 | 4 | no | — |
| 751 | #41 | — | 6 | 12 | no | — |
| 752 | #41 | — | 6 | 24 | no | — |
| 753 | #41 | — | 6 | 24 | no | — |
| 754 | #41 | — | 6 | 24 | no | — |
| 755 | #41 | — | 6 | 24 | no | — |
| 756 | #41 | — | 6 | 24 | no | — |
| 757 | #41 | — | 6 | 48 | no | — |
| 758 | #41 | — | 6 | 24 | no | — |
| 759 | #41 | — | 6 | 12 | no | — |
| 760 | #41 | — | 6 | 4 | no | — |
| 761 | #41 | — | 6 | 12 | no | — |
| 762 | #41 | — | 6 | 24 | no | — |
| 763 | #41 | — | 6 | 12 | no | — |
| 764 | #41 | — | 6 | 4 | no | — |
| 765 | #41 | — | 6 | 24 | no | — |
| 766 | #41 | — | 6 | 12 | no | — |
| 767 | #41 | — | 6 | 6 | no | — |
| 768 | #41 | — | 6 | 6 | no | — |
| 769 | #41 | — | 6 | 6 | no | — |
| 770 | #41 | D3×D4 | 1 | 4 | yes | — |
| 771 | #41 | C23×D3 | 1 | 4 | yes | — |
| 772 | #41 | C23×D3 | 1 | 12 | yes | — |
| 773 | #41 | C23×D3 | 1 | 12 | yes | — |
| 774 | #41 | C23×D3 | 1 | 4 | yes | — |
| 775 | C2×Q8 | — | 2 | 8 | no | — |
| 776 | C2×Q8 | — | 2 | 4 | no | — |
| 777 | C2×Q8 | — | 2 | 3 | no | — |
| 778 | C2×Q8 | — | 2 | 6 | no | — |
| 779 | C2×Q8 | — | 3 | 8 | no | — |
| 780 | C2×Q8 | — | 3 | 6 | no | — |
| 781 | C2×Q8 | — | 3 | 24 | no | — |
| 782 | C2×Q8 | — | 3 | 24 | no | — |
| 783 | C2×Q8 | — | 3 | 3 | no | — |
| 784 | C2×Q8 | — | 3 | 6 | no | — |
| 785 | C2×Q8 | — | 3 | 12 | no | — |
| 786 | C2×Q8 | — | 6 | 12 | no | — |
| 787 | C2×Q8 | — | 6 | 12 | no | — |
| 788 | C2×Q8 | — | 6 | 12 | no | — |
| 789 | C2×Q8 | — | 6 | 24 | no | — |
| 790 | C2×Q8 | — | 6 | 12 | no | — |
| 791 | C2×Q8 | — | 6 | 24 | no | — |
| 792 | C2×Q8 | — | 6 | 24 | no | — |
| 793 | C2×Q8 | — | 6 | 24 | no | — |
| 794 | C2×Q8 | — | 6 | 12 | no | — |
| 795 | C2×Q8 | — | 6 | 12 | no | — |
| 796 | C2×Q8 | — | 6 | 4 | no | — |
| 797 | C2×Q8 | — | 6 | 8 | no | — |
| 798 | C2×Q8 | — | 6 | 6 | no | — |
| 799 | C2×Q8 | — | 6 | 3 | no | — |
| 800 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 801 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 802 | C2×Q8 | C23×D3 | 1 | 6 | yes | — |
| 803 | C2×Q8 | C23×D3 | 1 | 12 | yes | — |
| 804 | C2×D4 | — | 2 | 3 | no | — |
| 805 | C2×D4 | — | 2 | 6 | no | — |
| 806 | C2×D4 | — | 2 | 12 | no | — |
| 807 | C2×D4 | — | 3 | 12 | no | — |
| 808 | C2×D4 | — | 3 | 24 | no | — |
| 809 | C2×D4 | — | 3 | 8 | no | — |
| 810 | C2×D4 | — | 3 | 8 | no | — |
| 811 | C2×D4 | — | 3 | 6 | no | — |
| 812 | C2×D4 | — | 3 | 1 | no | — |
| 813 | C2×D4 | — | 3 | 6 | no | — |
| 814 | C2×D4 | — | 6 | 4 | no | — |
| 815 | C2×D4 | — | 6 | 12 | no | — |
| 816 | C2×D4 | — | 6 | 12 | no | — |
| 817 | C2×D4 | — | 6 | 8 | no | — |
| 818 | C2×D4 | — | 6 | 24 | no | — |
| 819 | C2×D4 | — | 6 | 12 | no | — |
| 820 | C2×D4 | — | 6 | 4 | no | — |
| 821 | C2×D4 | — | 6 | 24 | no | — |
| 822 | C2×D4 | — | 6 | 24 | no | — |
| 823 | C2×D4 | — | 6 | 8 | no | — |
| 824 | C2×D4 | — | 6 | 24 | no | — |
| 825 | C2×D4 | — | 6 | 12 | no | — |
| 826 | C2×D4 | — | 6 | 6 | no | — |
| 827 | C2×D4 | — | 6 | 3 | no | — |
| 828 | C2×D4 | — | 6 | 12 | no | — |
| 829 | C2×D4 | D3×D4 | 1 | 3 | yes | — |
| 830 | C2×D4 | C23×D3 | 1 | 1 | yes | characteristic |
| 831 | C2×D4 | C23×D3 | 1 | 6 | yes | — |
| 832 | C22×C4 | — | 2 | 3 | no | — |
| 833 | C22×C4 | — | 2 | 3 | no | — |
| 834 | C22×C4 | — | 2 | 6 | no | — |
| 835 | C22×C4 | — | 3 | 12 | no | — |
| 836 | C22×C4 | — | 6 | 12 | no | — |
| 837 | C22×C4 | — | 6 | 24 | no | — |
| 838 | C22×C4 | — | 6 | 24 | no | — |
| 839 | C22×C4 | — | 6 | 12 | no | — |
| 840 | C22×C4 | — | 6 | 12 | no | — |
| 841 | C22×C4 | — | 6 | 12 | no | — |
| 842 | C22×C4 | — | 6 | 3 | no | — |
| 843 | C22×C4 | — | 6 | 6 | no | — |
| 844 | C22×C4 | — | 6 | 3 | no | — |
| 845 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 846 | Q16 | — | 3 | 4 | no | — |
| 847 | Q16 | — | 3 | 6 | no | — |
| 848 | Q16 | — | 3 | 12 | no | — |
| 849 | Q16 | — | 3 | 6 | no | — |
| 850 | Q16 | — | 3 | 24 | no | — |
| 851 | Q16 | — | 3 | 24 | no | — |
| 852 | Q16 | C23×D3 | 1 | 24 | yes | — |
| 853 | SD16 | — | 3 | 4 | no | — |
| 854 | SD16 | — | 3 | 12 | no | — |
| 855 | SD16 | — | 3 | 12 | no | — |
| 856 | SD16 | — | 3 | 4 | no | — |
| 857 | SD16 | — | 3 | 12 | no | — |
| 858 | SD16 | — | 3 | 12 | no | — |
| 859 | SD16 | — | 3 | 8 | no | — |
| 860 | SD16 | — | 3 | 24 | no | — |
| 861 | SD16 | C23×D3 | 1 | 8 | yes | — |
| 862 | SD16 | C23×D3 | 1 | 24 | yes | — |
| 863 | D8 | — | 3 | 4 | no | — |
| 864 | D8 | — | 3 | 2 | no | — |
| 865 | D8 | — | 3 | 12 | no | — |
| 866 | D8 | — | 3 | 2 | no | — |
| 867 | D8 | — | 3 | 8 | no | — |
| 868 | D8 | C23×D3 | 1 | 8 | yes | — |
| 869 | M16 | — | 3 | 12 | no | — |
| 870 | M16 | — | 3 | 24 | no | — |
| 871 | M16 | — | 3 | 8 | no | — |
| 872 | M16 | C23×D3 | 1 | 12 | yes | — |
| 873 | M16 | C23×D3 | 1 | 4 | yes | — |
| 874 | C2×C8 | — | 3 | 1 | no | — |
| 875 | C2×C8 | — | 3 | 6 | no | — |
| 876 | C2×C8 | — | 3 | 3 | no | — |
| 877 | C2×C8 | — | 3 | 6 | no | — |
| 878 | C2×C8 | — | 3 | 8 | no | — |
| 879 | C2×C8 | — | 3 | 24 | no | — |
| 880 | C2×C8 | C23×D3 | 1 | 12 | yes | — |
| 881 | C22×C3 | — | 2 | 4 | no | — |
| 882 | C22×C3 | — | 2 | 2 | no | — |
| 883 | C22×C3 | — | 4 | 3 | no | — |
| 884 | C22×C3 | — | 8 | 6 | no | — |
| 885 | C22×C3 | — | 8 | 1 | no | — |
| 886 | C22×C3 | C23×D4 | 1 | 6 | yes | — |
| 887 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 888 | C2×D3 | — | 2 | 4 | no | — |
| 889 | C2×D3 | — | 2 | 2 | no | — |
| 890 | C2×D3 | — | 4 | 12 | no | — |
| 891 | C2×D3 | — | 8 | 8 | no | — |
| 892 | C2×D3 | — | 8 | 8 | no | — |
| 893 | C2×D3 | — | 8 | 6 | no | — |
| 894 | C2×D3 | — | 8 | 1 | no | — |
| 895 | C2×D3 | C23×D4 | 1 | 8 | yes | — |
| 896 | C3×C4 | — | 2 | 4 | no | — |
| 897 | C3×C4 | — | 2 | 6 | no | — |
| 898 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 899 | C3×C4 | C23×D4 | 1 | 6 | yes | — |
| 900 | C3×C4 | C26 | 1 | 1 | yes | characteristic |
| 901 | Dic3 | — | 2 | 4 | no | — |
| 902 | Dic3 | — | 2 | 6 | no | — |
| 903 | Dic3 | C23×D4 | 1 | 8 | yes | — |
| 904 | C23 | — | 2 | 1 | no | — |
| 905 | C23 | — | 2 | 6 | no | — |
| 906 | C23 | — | 3 | 12 | no | — |
| 907 | C23 | — | 6 | 8 | no | — |
| 908 | C23 | — | 6 | 8 | no | — |
| 909 | C23 | — | 6 | 6 | no | — |
| 910 | C23 | — | 6 | 1 | no | — |
| 911 | C23 | C2×D3×D4 | 1 | 3 | yes | — |
| 912 | Q8 | — | 2 | 12 | no | — |
| 913 | Q8 | — | 2 | 3 | no | — |
| 914 | Q8 | — | 2 | 6 | no | — |
| 915 | Q8 | — | 3 | 12 | no | — |
| 916 | Q8 | — | 3 | 4 | no | — |
| 917 | Q8 | — | 3 | 4 | no | — |
| 918 | Q8 | — | 3 | 6 | no | — |
| 919 | Q8 | — | 6 | 24 | no | — |
| 920 | Q8 | — | 6 | 24 | no | — |
| 921 | Q8 | — | 6 | 6 | no | — |
| 922 | Q8 | — | 6 | 12 | no | — |
| 923 | Q8 | — | 6 | 3 | no | — |
| 924 | Q8 | C2×D3×D4 | 1 | 4 | yes | — |
| 925 | Q8 | C24×D3 | 1 | 4 | yes | — |
| 926 | Q8 | C24×D3 | 1 | 6 | yes | — |
| 927 | D4 | — | 2 | 12 | no | — |
| 928 | D4 | — | 2 | 4 | no | — |
| 929 | D4 | — | 2 | 12 | no | — |
| 930 | D4 | — | 2 | 6 | no | — |
| 931 | D4 | — | 2 | 1 | no | — |
| 932 | D4 | — | 3 | 24 | no | — |
| 933 | D4 | — | 3 | 8 | no | — |
| 934 | D4 | — | 3 | 12 | no | — |
| 935 | D4 | — | 3 | 4 | no | — |
| 936 | D4 | — | 3 | 4 | no | — |
| 937 | D4 | — | 3 | 2 | no | — |
| 938 | D4 | — | 6 | 8 | no | — |
| 939 | D4 | — | 6 | 24 | no | — |
| 940 | D4 | — | 6 | 8 | no | — |
| 941 | D4 | — | 6 | 8 | no | — |
| 942 | D4 | — | 6 | 8 | no | — |
| 943 | D4 | — | 6 | 24 | no | — |
| 944 | D4 | — | 6 | 12 | no | — |
| 945 | D4 | — | 6 | 12 | no | — |
| 946 | D4 | — | 6 | 4 | no | — |
| 947 | D4 | — | 6 | 6 | no | — |
| 948 | D4 | — | 6 | 1 | no | — |
| 949 | D4 | C2×D3×D4 | 1 | 12 | yes | — |
| 950 | D4 | C24×D3 | 1 | 4 | yes | — |
| 951 | D4 | C24×D3 | 1 | 2 | yes | — |
| 952 | C2×C4 | — | 2 | 3 | no | — |
| 953 | C2×C4 | — | 2 | 6 | no | — |
| 954 | C2×C4 | — | 2 | 12 | no | — |
| 955 | C2×C4 | — | 2 | 4 | no | — |
| 956 | C2×C4 | — | 2 | 12 | no | — |
| 957 | C2×C4 | — | 2 | 12 | no | — |
| 958 | C2×C4 | — | 3 | 12 | no | — |
| 959 | C2×C4 | — | 3 | 24 | no | — |
| 960 | C2×C4 | — | 3 | 8 | no | — |
| 961 | C2×C4 | — | 6 | 8 | no | — |
| 962 | C2×C4 | — | 6 | 24 | no | — |
| 963 | C2×C4 | — | 6 | 24 | no | — |
| 964 | C2×C4 | — | 6 | 24 | no | — |
| 965 | C2×C4 | — | 6 | 8 | no | — |
| 966 | C2×C4 | — | 6 | 24 | no | — |
| 967 | C2×C4 | — | 6 | 6 | no | — |
| 968 | C2×C4 | — | 6 | 12 | no | — |
| 969 | C2×C4 | — | 6 | 3 | no | — |
| 970 | C2×C4 | — | 6 | 12 | no | — |
| 971 | C2×C4 | — | 6 | 12 | no | — |
| 972 | C2×C4 | — | 6 | 4 | no | — |
| 973 | C2×C4 | C2×D3×D4 | 1 | 6 | yes | — |
| 974 | C2×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 975 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 976 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 977 | C8 | — | 3 | 1 | no | — |
| 978 | C8 | — | 3 | 1 | no | — |
| 979 | C8 | — | 3 | 6 | no | — |
| 980 | C8 | C24×D3 | 1 | 8 | yes | — |
| 981 | C2×C3 | — | 2 | 6 | no | — |
| 982 | C2×C3 | — | 2 | 1 | no | — |
| 983 | C2×C3 | — | 4 | 2 | no | — |
| 984 | C2×C3 | — | 4 | 4 | no | — |
| 985 | C2×C3 | C24×D4 | 1 | 1 | yes | characteristic |
| 986 | D3 | — | 2 | 8 | no | — |
| 987 | D3 | — | 4 | 4 | no | — |
| 988 | D3 | — | 4 | 2 | no | — |
| 989 | C22 | — | 2 | 2 | no | — |
| 990 | C22 | — | 2 | 4 | no | — |
| 991 | C22 | — | 3 | 8 | no | — |
| 992 | C22 | — | 4 | 3 | no | — |
| 993 | C22 | — | 6 | 4 | no | — |
| 994 | C22 | — | 6 | 2 | no | — |
| 995 | C22 | — | 8 | 1 | no | — |
| 996 | C22 | — | 8 | 6 | no | — |
| 997 | C22 | — | 12 | 12 | no | — |
| 998 | C22 | — | 24 | 1 | no | — |
| 999 | C22 | — | 24 | 6 | no | — |
| 1000 | C22 | — | 24 | 8 | no | — |
| 1001 | C22 | — | 24 | 8 | no | — |
| 1002 | C22 | C22×D3×D4 | 1 | 6 | yes | — |
| 1003 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1004 | C4 | — | 2 | 4 | no | — |
| 1005 | C4 | — | 2 | 6 | no | — |
| 1006 | C4 | — | 3 | 8 | no | — |
| 1007 | C4 | — | 6 | 4 | no | — |
| 1008 | C4 | — | 6 | 6 | no | — |
| 1009 | C4 | C22×D3×D4 | 1 | 6 | yes | — |
| 1010 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1011 | C4 | C25×D3 | 1 | 1 | yes | characteristic |
| 1012 | C3 | #63093 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1013 | C2 | — | 2 | 1 | no | — |
| 1014 | C2 | — | 2 | 6 | no | — |
| 1015 | C2 | — | 4 | 4 | no | — |
| 1016 | C2 | — | 4 | 2 | no | — |
| 1017 | C2 | — | 6 | 8 | no | — |
| 1018 | C2 | — | 12 | 4 | no | — |
| 1019 | C2 | — | 12 | 2 | no | — |
| 1020 | 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 | #63093 |
| 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. #87572 | C2 | semidirect |
| 2. #87571 | C2 | semidirect |
| 3. C3×#3586 | C2 | semidirect |
| 4. #87297 | C2 | semidirect |
| 5. C2×#5838 | C2 | semidirect |
| 6. #87211 | C2 | semidirect |
| 7. D3×#578 | C2 | semidirect |
| 8. #87208 | C2 | semidirect |
| 9. #87206 | C2 | semidirect |
| 10. #87201 | C2 | semidirect |
| 11. #87199 | C2 | semidirect |
| 12. #87197 | C2 | semidirect |
| 13. C2×#5779 | C2 | semidirect |
| 14. #87168 | C2 | semidirect |
| 15. #87166 | C2 | semidirect |
| 17. C3×#585 | C22 | semidirect |
| 18. C2×C3×2−1+4 | C22 | semidirect |
| 20. #5968 | C22 | semidirect |
| 23. D3×2−1+4 | C22 | semidirect |
| 24. D3×2−1+4 | C22 | semidirect |
| 26. #5966 | C22 | semidirect |
| 30. #5964 | C22 | semidirect |
| 31. #5964 | C22 | semidirect |
| 32. #5964 | C22 | semidirect |
| 34. C2×#1010 | C22 | semidirect |
| 35. C2×#1010 | C22 | semidirect |
| 37. C2×#1007 | C22 | semidirect |
| 38. C3×#578 | C22 | semidirect |
| 39. C3×#577 | C22 | semidirect |
| 40. C3×#575 | C22 | semidirect |
| 41. C2×C3×#137 | C22 | semidirect |
| 42. C3×#568 | C22 | semidirect |
| 43. #5838 | C22 | semidirect |
| 44. #5838 | C22 | semidirect |
| 45. #5838 | C22 | semidirect |
| 46. #5837 | C22 | semidirect |
| 47. #5836 | C22 | semidirect |
| 48. #5835 | C22 | semidirect |
| 49. C2×#951 | C22 | semidirect |
| 50. #5822 | C22 | semidirect |
| 51. C2×#950 | C22 | semidirect |
| 52. C2×#950 | C22 | semidirect |
| 53. C2×#948 | C22 | semidirect |
| 54. C22×#216 | C22 | semidirect |
| 55. C2×#942 | C22 | semidirect |
| 56. #5779 | C22 | semidirect |
| 57. #5779 | C22 | semidirect |
| 58. #5779 | C22 | semidirect |
| 59. #5779 | C22 | semidirect |
| 60. #5779 | C22 | semidirect |
| 61. #5778 | C22 | semidirect |
| 62. #5778 | C22 | semidirect |
| 63. #5777 | C22 | semidirect |
| 64. D3×#137 | C22 | semidirect |
| 65. D3×#137 | C22 | semidirect |
| 66. #5775 | C22 | semidirect |
| 67. #5775 | C22 | semidirect |
| 68. #5774 | C22 | semidirect |
| 69. #5774 | C22 | semidirect |
| 70. #5773 | C22 | semidirect |
| 71. #5771 | C22 | semidirect |
| 72. #5770 | C22 | semidirect |
| 73. #5768 | C22 | semidirect |
| 74. D3×#135 | C22 | semidirect |
| 75. #5766 | C22 | semidirect |
| 76. C2×#918 | C22 | semidirect |
| 77. C2×D3×Q16 | C22 | semidirect |
| 78. #5762 | C22 | semidirect |
| 79. C2×#916 | C22 | semidirect |
| 80. C2×#915 | C22 | semidirect |
| 81. #5753 | C22 | semidirect |
| 82. #5751 | C22 | semidirect |
| 83. #5750 | C22 | semidirect |
| 84. D3×#131 | C22 | semidirect |
| 85. #5748 | C22 | semidirect |
| 86. C2×#909 | C22 | semidirect |
| 87. #5745 | C22 | semidirect |
| 88. C2×#907 | C22 | semidirect |
| 96. #3586 | D3 | semidirect |
| 270. #585 | C2×D3 | semidirect |
| 280. C2×2−1+4 | C2×D3 | semidirect |
| 292. #578 | C2×D3 | semidirect |
| 302. #577 | C2×D3 | semidirect |
| 311. #575 | C2×D3 | semidirect |
| 319. C2×#137 | C2×D3 | semidirect |
| 328. #568 | C2×D3 | semidirect |
| 1012. C3 | #63093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #87572 | 2 |
| #87571 | 2 |
| C3×#3586 | 2 |
| #87297 | 2 |
| C2×#5838 | 2 |
| #87211 | 2 |
| D3×#578 | 2 |
| #87208 | 2 |
| #87206 | 2 |
| #87201 | 2 |
| #87199 | 2 |
| #87197 | 2 |
| C2×#5779 | 2 |
| #87168 | 2 |
| #87166 | 2 |
| #63093 | 3 |