← #72226124
Subgroups — #72226124
Order 1536.
5236 conjugacy classes of subgroups.
The subgroup lattice has 814 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #11659472 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #10819942 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10818116 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #10816048 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #10813662 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10811169 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10803643 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10802090 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | Dic3×#453 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10793774 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C2×C3×#3292 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #6383881 | — | 3 | 1 | no | maximal, Sylow |
| 13 | C2×C3×#576 | C22 | 1 | 4 | yes | — |
| 14 | Dic3×H(5,𝔽2) | C22 | 1 | 4 | yes | complemented |
| 15 | C3×#3292 | C4 | 1 | 16 | yes | complemented |
| 16 | C2×C3×#493 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C3×#472 | C22 | 1 | 4 | yes | — |
| 18 | C2×C3×#453 | C22 | 1 | 4 | yes | — |
| 19 | C2×C3×#443 | C22 | 1 | 2 | yes | — |
| 20 | #84099 | C22 | 1 | 8 | yes | complemented |
| 21 | #83930 | — | 2 | 8 | no | — |
| 22 | #83930 | C22 | 1 | 8 | yes | complemented |
| 23 | Dic3×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 24 | Dic3×AGL(1,ℤ/8) | C22 | 1 | 8 | yes | complemented |
| 25 | C2×#5197 | C22 | 1 | 2 | yes | — |
| 26 | #83899 | — | 2 | 4 | no | — |
| 27 | #83899 | C22 | 1 | 4 | yes | — |
| 28 | #83897 | — | 2 | 4 | no | — |
| 29 | #83897 | C22 | 1 | 2 | yes | — |
| 30 | #83823 | — | 2 | 4 | no | — |
| 31 | #83823 | C22 | 1 | 4 | yes | complemented |
| 32 | C2×#5152 | — | 2 | 4 | no | — |
| 33 | C2×#5152 | C22 | 1 | 4 | yes | complemented |
| 34 | #83784 | C22 | 1 | 4 | yes | complemented |
| 35 | #83782 | C22 | 1 | 4 | yes | complemented |
| 36 | Dic3×#127 | C22 | 1 | 2 | yes | complemented |
| 37 | #72140 | C22 | 1 | 4 | yes | complemented |
| 38 | #72091 | C22 | 1 | 8 | yes | complemented |
| 39 | #72088 | C22 | 1 | 8 | yes | complemented |
| 40 | #72041 | C22 | 1 | 4 | yes | complemented |
| 41 | #72039 | C22 | 1 | 4 | yes | complemented |
| 42 | #72015 | C22 | 1 | 4 | yes | complemented |
| 43 | #72009 | C22 | 1 | 4 | yes | complemented |
| 44 | #71764 | C22 | 1 | 2 | yes | complemented |
| 45 | #71763 | C22 | 1 | 4 | yes | complemented |
| 46 | #70703 | C22 | 1 | 2 | yes | complemented |
| 47 | #70700 | C22 | 1 | 4 | yes | complemented |
| 48 | #70692 | C22 | 1 | 2 | yes | complemented |
| 49 | #70369 | C22 | 1 | 4 | yes | complemented |
| 50 | #70363 | C22 | 1 | 8 | yes | complemented |
| 51 | Dic3×#104 | C22 | 1 | 4 | yes | complemented |
| 52 | #70072 | C22 | 1 | 8 | yes | complemented |
| 53 | #70068 | C22 | 1 | 4 | yes | complemented |
| 54 | Dic3×#100 | C22 | 1 | 4 | yes | complemented |
| 55 | #69779 | C22 | 1 | 2 | yes | complemented |
| 56 | #69764 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C4×#815 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×#3292 | D3 | 1 | 1 | yes | characteristic |
| 59 | #60176 | — | 3 | 4 | no | — |
| 60 | #23201 | — | 3 | 1 | no | — |
| 61 | #23048 | — | 3 | 4 | no | — |
| 62 | #22897 | — | 3 | 4 | no | — |
| 63 | #22689 | — | 3 | 2 | no | — |
| 64 | #22463 | — | 3 | 4 | no | — |
| 65 | #21690 | — | 3 | 1 | no | — |
| 66 | #21555 | — | 3 | 4 | no | — |
| 67 | C4×#453 | — | 3 | 4 | no | — |
| 68 | #20512 | — | 3 | 2 | no | — |
| 69 | C2×C3×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 70 | C3×#576 | — | 2 | 16 | no | — |
| 71 | C3×#576 | C2×C4 | 1 | 32 | yes | complemented |
| 72 | C2×C3×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 73 | C2×C3×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 74 | C2×C3×#135 | — | 2 | 4 | no | — |
| 75 | C2×C3×#135 | C23 | 1 | 2 | yes | — |
| 76 | C22×C3×D8 | — | 2 | 4 | no | — |
| 77 | C22×C3×D8 | C23 | 1 | 4 | yes | — |
| 78 | C2×C3×#131 | C23 | 1 | 4 | yes | — |
| 79 | C2×C3×#127 | C23 | 1 | 2 | yes | — |
| 80 | #5827 | — | 2 | 8 | no | — |
| 81 | #5827 | C23 | 1 | 8 | yes | — |
| 82 | Dic3×#41 | — | 2 | 8 | no | — |
| 83 | Dic3×#41 | C23 | 1 | 4 | yes | — |
| 84 | C2×#948 | C23 | 1 | 4 | yes | — |
| 85 | #5798 | — | 2 | 8 | no | — |
| 86 | #5798 | — | 4 | 4 | no | — |
| 87 | #5798 | C23 | 1 | 4 | yes | — |
| 88 | C2×D4×Dic3 | — | 2 | 8 | no | — |
| 89 | C2×D4×Dic3 | — | 4 | 2 | no | — |
| 90 | C2×D4×Dic3 | — | 4 | 4 | no | — |
| 91 | C2×D4×Dic3 | C23 | 1 | 4 | yes | — |
| 92 | C3×#493 | C2×C4 | 1 | 8 | yes | complemented |
| 93 | C3×#472 | C2×C4 | 1 | 32 | yes | complemented |
| 94 | C3×#453 | C2×C4 | 1 | 32 | yes | complemented |
| 95 | C3×#443 | C2×C4 | 1 | 16 | yes | complemented |
| 96 | C2×C3×#108 | C23 | 1 | 2 | yes | — |
| 97 | C2×C3×#104 | C23 | 1 | 4 | yes | — |
| 98 | C2×C3×#100 | C23 | 1 | 4 | yes | — |
| 99 | C2×C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×#837 | C23 | 1 | 4 | yes | — |
| 101 | #5233 | — | 2 | 8 | no | — |
| 102 | #5233 | C23 | 1 | 4 | yes | — |
| 103 | #5232 | — | 2 | 8 | no | — |
| 104 | #5232 | C23 | 1 | 8 | yes | — |
| 105 | #5221 | — | 4 | 2 | no | — |
| 106 | #5221 | C23 | 1 | 4 | yes | — |
| 107 | C2×#833 | C23 | 1 | 4 | yes | — |
| 108 | #5215 | — | 2 | 8 | no | — |
| 109 | #5215 | C23 | 1 | 8 | yes | — |
| 110 | C2×#832 | — | 2 | 8 | no | — |
| 111 | C2×#832 | C23 | 1 | 8 | yes | — |
| 112 | #5197 | — | 2 | 8 | no | — |
| 113 | #5184 | — | 2 | 4 | no | — |
| 114 | #5184 | D4 | 1 | 4 | yes | complemented |
| 115 | #5164 | — | 2 | 8 | no | — |
| 116 | #5164 | — | 2 | 8 | no | — |
| 117 | #5164 | D4 | 1 | 8 | yes | complemented |
| 118 | Dic3×SD16 | — | 2 | 8 | no | — |
| 119 | Dic3×SD16 | — | 2 | 8 | no | — |
| 120 | Dic3×SD16 | — | 2 | 8 | no | — |
| 121 | #5152 | — | 2 | 4 | no | — |
| 122 | #5152 | — | 2 | 8 | no | — |
| 123 | #5152 | — | 2 | 8 | no | — |
| 124 | #5152 | — | 2 | 4 | no | — |
| 125 | #5152 | — | 2 | 4 | no | — |
| 126 | #5152 | — | 2 | 4 | no | — |
| 127 | #5152 | — | 2 | 4 | no | — |
| 128 | #5152 | — | 2 | 4 | no | — |
| 129 | #5152 | — | 2 | 4 | no | — |
| 130 | #5152 | D4 | 1 | 4 | yes | complemented |
| 131 | Dic3×D8 | — | 2 | 8 | no | — |
| 132 | Dic3×D8 | — | 2 | 8 | no | — |
| 133 | Dic3×D8 | — | 2 | 8 | no | — |
| 134 | #5122 | — | 2 | 4 | no | — |
| 135 | #5122 | C23 | 1 | 4 | yes | — |
| 136 | #5121 | — | 2 | 8 | no | — |
| 137 | #5121 | C23 | 1 | 8 | yes | — |
| 138 | Dic3×M16 | — | 2 | 4 | no | — |
| 139 | Dic3×M16 | C23 | 1 | 4 | yes | — |
| 140 | C2×#819 | C23 | 1 | 2 | yes | — |
| 141 | #5106 | — | 2 | 4 | no | — |
| 142 | #5106 | C23 | 1 | 2 | yes | — |
| 143 | C2×#817 | — | 2 | 4 | no | — |
| 144 | C2×#817 | C23 | 1 | 4 | yes | — |
| 145 | #5101 | — | 2 | 4 | no | — |
| 146 | #5101 | C23 | 1 | 4 | yes | — |
| 147 | C2×#815 | — | 2 | 4 | no | — |
| 148 | C2×#815 | C23 | 1 | 2 | yes | — |
| 149 | C2×#815 | C23 | 1 | 2 | yes | — |
| 150 | #4935 | C23 | 1 | 2 | yes | — |
| 151 | C42×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 153 | #4558 | C23 | 1 | 4 | yes | — |
| 154 | #4555 | C23 | 1 | 4 | yes | — |
| 155 | #4554 | C23 | 1 | 8 | yes | — |
| 156 | #4523 | C23 | 1 | 4 | yes | — |
| 157 | C2×#576 | C2×D3 | 1 | 4 | yes | — |
| 158 | C4×H(5,𝔽2) | — | 3 | 4 | no | — |
| 159 | #3292 | Dic3 | 1 | 16 | yes | complemented |
| 160 | C2×#493 | C2×D3 | 1 | 1 | yes | characteristic |
| 161 | C2×#472 | C2×D3 | 1 | 4 | yes | — |
| 162 | C2×#453 | C2×D3 | 1 | 4 | yes | — |
| 163 | C2×#444 | — | 3 | 2 | no | — |
| 164 | C2×#443 | C2×D3 | 1 | 2 | yes | — |
| 165 | #2952 | — | 3 | 4 | no | — |
| 166 | #2952 | — | 6 | 4 | no | — |
| 167 | #2948 | — | 3 | 4 | no | — |
| 168 | #2948 | — | 6 | 4 | no | — |
| 169 | #2946 | — | 3 | 8 | no | — |
| 170 | #2946 | — | 6 | 8 | no | — |
| 171 | C4×AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 172 | C4×AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 173 | #2943 | — | 3 | 2 | no | — |
| 174 | #2943 | — | 6 | 4 | no | — |
| 175 | C2×#442 | — | 3 | 4 | no | — |
| 176 | C2×#442 | — | 6 | 4 | no | — |
| 177 | #2912 | — | 3 | 4 | no | — |
| 178 | #2897 | — | 3 | 8 | no | — |
| 179 | #2875 | — | 3 | 4 | no | — |
| 180 | C4×#127 | — | 3 | 2 | no | — |
| 181 | #1978 | — | 3 | 4 | no | — |
| 182 | #1972 | — | 3 | 4 | no | — |
| 183 | #1957 | — | 3 | 2 | no | — |
| 184 | #1951 | — | 3 | 4 | no | — |
| 185 | #1931 | — | 3 | 8 | no | — |
| 186 | #1907 | — | 3 | 8 | no | — |
| 187 | #1887 | — | 3 | 4 | no | — |
| 188 | #1883 | — | 3 | 8 | no | — |
| 189 | #1859 | — | 3 | 8 | no | — |
| 190 | #1856 | — | 3 | 4 | no | — |
| 191 | #1844 | — | 3 | 1 | no | — |
| 192 | #1815 | — | 3 | 4 | no | — |
| 193 | #1792 | — | 3 | 4 | no | — |
| 194 | #1778 | — | 3 | 2 | no | — |
| 195 | #1773 | — | 3 | 2 | no | — |
| 196 | #1772 | — | 3 | 2 | no | — |
| 197 | #1765 | — | 3 | 4 | no | — |
| 198 | #1764 | — | 3 | 4 | no | — |
| 199 | C4×#104 | — | 3 | 4 | no | — |
| 200 | C4×#100 | — | 3 | 4 | no | — |
| 201 | C4×#97 | — | 3 | 1 | no | — |
| 202 | C3×H(5,𝔽2) | — | 2 | 16 | no | — |
| 203 | C3×H(5,𝔽2) | — | 4 | 4 | no | — |
| 204 | C3×H(5,𝔽2) | C22×C4 | 1 | 16 | yes | complemented |
| 205 | C2×C3×#41 | — | 2 | 8 | no | — |
| 206 | C2×C3×#41 | C24 | 1 | 4 | yes | — |
| 207 | C22×C3×D4 | — | 2 | 8 | no | — |
| 208 | C22×C3×D4 | — | 4 | 2 | no | — |
| 209 | C22×C3×D4 | — | 4 | 4 | no | — |
| 210 | C22×C3×D4 | C24 | 1 | 4 | yes | — |
| 211 | C23×Dic3 | — | 2 | 4 | no | — |
| 212 | C23×Dic3 | — | 4 | 4 | no | — |
| 213 | C3×AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 214 | C3×AGL(1,ℤ/8) | — | 2 | 64 | no | — |
| 215 | C3×AGL(1,ℤ/8) | C22×C4 | 1 | 32 | yes | complemented |
| 216 | C3×#135 | — | 2 | 32 | no | — |
| 217 | C3×#135 | C22×C4 | 1 | 8 | yes | — |
| 218 | C3×#135 | #41 | 1 | 8 | yes | — |
| 219 | C2×C3×Q16 | C2×D4 | 1 | 2 | yes | — |
| 220 | C2×C3×SD16 | — | 2 | 8 | no | — |
| 221 | C2×C3×SD16 | C2×D4 | 1 | 4 | yes | — |
| 222 | C2×C3×D8 | — | 2 | 8 | no | — |
| 223 | C2×C3×D8 | — | 2 | 32 | no | — |
| 224 | C2×C3×D8 | — | 2 | 4 | no | — |
| 225 | C2×C3×D8 | — | 2 | 4 | no | — |
| 226 | C2×C3×D8 | — | 2 | 8 | no | — |
| 227 | C2×C3×D8 | C22×C4 | 1 | 16 | yes | complemented |
| 228 | C2×C3×D8 | C2×D4 | 1 | 2 | yes | — |
| 229 | C3×#131 | — | 2 | 8 | no | — |
| 230 | C3×#131 | C22×C4 | 1 | 16 | yes | complemented |
| 231 | C2×C3×M16 | — | 2 | 4 | no | — |
| 232 | C2×C3×M16 | C24 | 1 | 4 | yes | — |
| 233 | C22×C3×C8 | — | 2 | 4 | no | — |
| 234 | C22×C3×C8 | C24 | 1 | 2 | yes | — |
| 235 | C3×#127 | — | 4 | 2 | no | — |
| 236 | C3×#127 | C22×C4 | 1 | 8 | yes | complemented |
| 237 | C2×C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 238 | C2×#217 | — | 2 | 4 | no | — |
| 239 | C2×#217 | — | 4 | 4 | no | — |
| 240 | C2×#217 | — | 4 | 4 | no | — |
| 241 | C2×#217 | — | 4 | 8 | no | — |
| 242 | C2×#217 | — | 4 | 4 | no | — |
| 243 | #948 | — | 2 | 8 | no | — |
| 244 | #948 | — | 4 | 4 | no | — |
| 245 | Q8×Dic3 | — | 2 | 8 | no | — |
| 246 | Q8×Dic3 | C2×D4 | 1 | 8 | yes | — |
| 247 | D4×Dic3 | — | 2 | 8 | no | — |
| 248 | D4×Dic3 | — | 2 | 8 | no | — |
| 249 | D4×Dic3 | — | 2 | 8 | no | — |
| 250 | D4×Dic3 | — | 2 | 8 | no | — |
| 251 | D4×Dic3 | — | 2 | 8 | no | — |
| 252 | D4×Dic3 | — | 2 | 8 | no | — |
| 253 | D4×Dic3 | — | 4 | 8 | no | — |
| 254 | D4×Dic3 | — | 4 | 8 | no | — |
| 255 | D4×Dic3 | — | 4 | 8 | no | — |
| 256 | D4×Dic3 | — | 4 | 8 | no | — |
| 257 | D4×Dic3 | — | 4 | 8 | no | — |
| 258 | D4×Dic3 | — | 8 | 8 | no | — |
| 259 | D4×Dic3 | C2×D4 | 1 | 8 | yes | — |
| 260 | #926 | — | 2 | 4 | no | — |
| 261 | #926 | — | 2 | 8 | no | — |
| 262 | #926 | — | 4 | 8 | no | — |
| 263 | #926 | C24 | 1 | 4 | yes | — |
| 264 | C2×C4⋊Dic3 | — | 2 | 8 | no | — |
| 265 | C2×C4⋊Dic3 | — | 4 | 4 | no | — |
| 266 | C2×C4⋊Dic3 | — | 4 | 2 | no | — |
| 267 | C2×C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 268 | C2×C4×Dic3 | — | 2 | 4 | no | — |
| 269 | C2×C4×Dic3 | — | 2 | 2 | no | — |
| 270 | C2×C4×Dic3 | — | 4 | 4 | no | — |
| 271 | C2×C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 272 | C2×C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 273 | C2×#208 | — | 2 | 4 | no | — |
| 274 | C2×#208 | C24 | 1 | 4 | yes | — |
| 275 | C22×C3⋊C8 | — | 2 | 4 | no | — |
| 276 | C22×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 277 | C3×#108 | C22×C4 | 1 | 8 | yes | complemented |
| 278 | C3×#104 | C22×C4 | 1 | 16 | yes | complemented |
| 279 | C3×#100 | C22×C4 | 1 | 16 | yes | complemented |
| 280 | C3×C4×C8 | C22×C4 | 1 | 4 | yes | complemented |
| 281 | #837 | — | 2 | 8 | no | — |
| 282 | #835 | — | 2 | 8 | no | — |
| 283 | #835 | C2×D4 | 1 | 8 | yes | — |
| 284 | #833 | — | 4 | 4 | no | — |
| 285 | #832 | — | 2 | 8 | no | — |
| 286 | #832 | — | 2 | 8 | no | — |
| 287 | #832 | — | 2 | 8 | no | — |
| 288 | #832 | — | 2 | 8 | no | — |
| 289 | #832 | — | 2 | 8 | no | — |
| 290 | #832 | C2×D4 | 1 | 8 | yes | — |
| 291 | #819 | — | 2 | 4 | no | — |
| 292 | #818 | — | 2 | 8 | no | — |
| 293 | #818 | C2×D4 | 1 | 4 | yes | — |
| 294 | #817 | — | 2 | 4 | no | — |
| 295 | #817 | — | 2 | 4 | no | — |
| 296 | #817 | — | 2 | 8 | no | — |
| 297 | #817 | C2×D4 | 1 | 4 | yes | — |
| 298 | #815 | — | 2 | 4 | no | — |
| 299 | #815 | — | 2 | 4 | no | — |
| 300 | #815 | — | 2 | 4 | no | — |
| 301 | #815 | — | 2 | 4 | no | — |
| 302 | #815 | C2×D4 | 1 | 4 | yes | — |
| 303 | #815 | C2×D4 | 1 | 4 | yes | — |
| 304 | C8×Dic3 | — | 2 | 4 | no | — |
| 305 | C8×Dic3 | — | 2 | 4 | no | — |
| 306 | C8×Dic3 | — | 2 | 4 | no | — |
| 307 | C4×C3⋊C8 | — | 4 | 1 | no | — |
| 308 | C2×H(5,𝔽2) | C22×D3 | 1 | 4 | yes | — |
| 309 | #576 | — | 2 | 16 | no | — |
| 310 | #576 | C2×Dic3 | 1 | 32 | yes | complemented |
| 311 | C2×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 312 | C2×AGL(1,ℤ/8) | C22×D3 | 1 | 8 | yes | — |
| 313 | C2×#135 | — | 2 | 4 | no | — |
| 314 | C2×#135 | C22×D3 | 1 | 2 | yes | — |
| 315 | C22×D8 | — | 2 | 4 | no | — |
| 316 | C22×D8 | C22×D3 | 1 | 4 | yes | — |
| 317 | C2×#131 | — | 3 | 4 | no | — |
| 318 | C2×#131 | C22×D3 | 1 | 4 | yes | — |
| 319 | C2×#127 | C22×D3 | 1 | 2 | yes | — |
| 320 | #520 | — | 3 | 8 | no | — |
| 321 | #520 | — | 6 | 8 | no | — |
| 322 | #518 | — | 3 | 4 | no | — |
| 323 | #518 | — | 6 | 8 | no | — |
| 324 | #518 | — | 12 | 4 | no | — |
| 325 | C4×#41 | — | 3 | 4 | no | — |
| 326 | C4×#41 | — | 6 | 8 | no | — |
| 327 | C2×C4×D4 | — | 3 | 4 | no | — |
| 328 | C2×C4×D4 | — | 6 | 8 | no | — |
| 329 | C2×C4×D4 | — | 12 | 2 | no | — |
| 330 | C2×C4×D4 | — | 12 | 4 | no | — |
| 331 | #493 | C2×Dic3 | 1 | 8 | yes | complemented |
| 332 | #472 | C2×Dic3 | 1 | 32 | yes | complemented |
| 333 | #453 | C2×Dic3 | 1 | 32 | yes | complemented |
| 334 | #444 | — | 6 | 8 | no | — |
| 335 | #443 | C2×Dic3 | 1 | 16 | yes | complemented |
| 336 | #442 | — | 3 | 4 | no | — |
| 337 | #442 | — | 6 | 4 | no | — |
| 338 | #442 | — | 6 | 4 | no | — |
| 339 | #442 | — | 6 | 4 | no | — |
| 340 | #442 | — | 6 | 4 | no | — |
| 341 | #442 | — | 6 | 8 | no | — |
| 342 | #442 | — | 6 | 4 | no | — |
| 343 | #442 | — | 6 | 4 | no | — |
| 344 | #442 | — | 6 | 8 | no | — |
| 345 | #442 | — | 6 | 4 | no | — |
| 346 | #441 | — | 3 | 4 | no | — |
| 347 | #441 | — | 6 | 4 | no | — |
| 348 | #440 | — | 3 | 8 | no | — |
| 349 | #440 | — | 6 | 8 | no | — |
| 350 | #440 | — | 6 | 8 | no | — |
| 351 | C4×SD16 | — | 6 | 8 | no | — |
| 352 | C4×SD16 | — | 6 | 8 | no | — |
| 353 | C4×SD16 | — | 6 | 8 | no | — |
| 354 | C4×D8 | — | 6 | 8 | no | — |
| 355 | C4×D8 | — | 6 | 8 | no | — |
| 356 | C4×D8 | — | 6 | 8 | no | — |
| 357 | C2×#108 | — | 3 | 2 | no | — |
| 358 | C2×#108 | C22×D3 | 1 | 2 | yes | — |
| 359 | #428 | — | 3 | 8 | no | — |
| 360 | #428 | — | 6 | 8 | no | — |
| 361 | #427 | — | 3 | 2 | no | — |
| 362 | #427 | — | 6 | 4 | no | — |
| 363 | C2×#106 | — | 3 | 4 | no | — |
| 364 | C2×#106 | — | 6 | 4 | no | — |
| 365 | C2×#104 | — | 3 | 4 | no | — |
| 366 | C2×#104 | C22×D3 | 1 | 4 | yes | — |
| 367 | #418 | — | 3 | 8 | no | — |
| 368 | #418 | — | 6 | 8 | no | — |
| 369 | #417 | — | 3 | 8 | no | — |
| 370 | #417 | — | 6 | 8 | no | — |
| 371 | #416 | — | 3 | 4 | no | — |
| 372 | #416 | — | 6 | 8 | no | — |
| 373 | C2×#102 | — | 3 | 8 | no | — |
| 374 | C2×#102 | — | 6 | 8 | no | — |
| 375 | C2×#100 | — | 3 | 4 | no | — |
| 376 | C2×#100 | C22×D3 | 1 | 4 | yes | — |
| 377 | #405 | — | 3 | 4 | no | — |
| 378 | #405 | — | 3 | 4 | no | — |
| 379 | #405 | — | 6 | 4 | no | — |
| 380 | #405 | — | 6 | 4 | no | — |
| 381 | C4×M16 | — | 3 | 4 | no | — |
| 382 | C4×M16 | — | 6 | 4 | no | — |
| 383 | C2×#97 | — | 3 | 2 | no | — |
| 384 | C2×#97 | — | 3 | 2 | no | — |
| 385 | C2×#97 | — | 6 | 4 | no | — |
| 386 | C2×C4×C8 | — | 3 | 1 | no | — |
| 387 | C2×C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 388 | #390 | — | 3 | 4 | no | — |
| 389 | #390 | — | 12 | 2 | no | — |
| 390 | #384 | — | 3 | 2 | no | — |
| 391 | C43 | — | 3 | 1 | no | — |
| 392 | #343 | — | 3 | 8 | no | — |
| 393 | #341 | — | 3 | 4 | no | — |
| 394 | #339 | — | 3 | 4 | no | — |
| 395 | #339 | — | 3 | 4 | no | — |
| 396 | C24×C3 | — | 2 | 4 | no | — |
| 397 | C24×C3 | — | 4 | 4 | no | — |
| 398 | C3×#41 | — | 2 | 4 | no | — |
| 399 | C3×#41 | — | 2 | 4 | no | — |
| 400 | C3×#41 | — | 2 | 32 | no | — |
| 401 | C3×#41 | — | 4 | 16 | no | — |
| 402 | C3×#41 | C23×C4 | 1 | 8 | yes | — |
| 403 | C3×#41 | C2×#41 | 1 | 8 | yes | — |
| 404 | C2×C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 405 | C2×C3×D4 | — | 2 | 4 | no | — |
| 406 | C2×C3×D4 | — | 2 | 32 | no | — |
| 407 | C2×C3×D4 | — | 2 | 8 | no | — |
| 408 | C2×C3×D4 | — | 2 | 8 | no | — |
| 409 | C2×C3×D4 | — | 2 | 4 | no | — |
| 410 | C2×C3×D4 | — | 4 | 16 | no | — |
| 411 | C2×C3×D4 | — | 4 | 8 | no | — |
| 412 | C2×C3×D4 | — | 4 | 8 | no | — |
| 413 | C2×C3×D4 | — | 4 | 16 | no | — |
| 414 | C2×C3×D4 | — | 4 | 16 | no | — |
| 415 | C2×C3×D4 | — | 8 | 4 | no | — |
| 416 | C2×C3×D4 | — | 8 | 4 | no | — |
| 417 | C2×C3×D4 | C23×C4 | 1 | 8 | yes | — |
| 418 | C2×C3×D4 | C22×D4 | 1 | 4 | yes | — |
| 419 | C22×C3×C4 | — | 2 | 1 | no | — |
| 420 | C22×C3×C4 | — | 2 | 4 | no | — |
| 421 | C22×C3×C4 | — | 4 | 4 | no | — |
| 422 | C22×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 423 | C22×Dic3 | — | 2 | 8 | no | — |
| 424 | C22×Dic3 | — | 2 | 1 | no | — |
| 425 | C22×Dic3 | — | 2 | 4 | no | — |
| 426 | C22×Dic3 | — | 4 | 4 | no | — |
| 427 | C22×Dic3 | — | 4 | 4 | no | — |
| 428 | C22×Dic3 | — | 4 | 8 | no | — |
| 429 | C22×Dic3 | — | 4 | 4 | no | — |
| 430 | C22×Dic3 | — | 4 | 4 | no | — |
| 431 | C22×Dic3 | — | 8 | 8 | no | — |
| 432 | C22×Dic3 | — | 16 | 8 | no | — |
| 433 | C22×Dic3 | H(5,𝔽2) | 1 | 2 | yes | — |
| 434 | C3×Q16 | C4×D4 | 1 | 8 | yes | complemented |
| 435 | C3×SD16 | — | 2 | 32 | no | — |
| 436 | C3×SD16 | C4×D4 | 1 | 16 | yes | complemented |
| 437 | C3×D8 | — | 2 | 32 | no | — |
| 438 | C3×D8 | — | 2 | 16 | no | — |
| 439 | C3×D8 | — | 2 | 16 | no | — |
| 440 | C3×D8 | C4×D4 | 1 | 8 | yes | complemented |
| 441 | C3×M16 | — | 2 | 4 | no | — |
| 442 | C3×M16 | — | 2 | 16 | no | — |
| 443 | C3×M16 | C23×C4 | 1 | 8 | yes | — |
| 444 | C2×C3×C8 | — | 2 | 4 | no | — |
| 445 | C2×C3×C8 | — | 2 | 16 | no | — |
| 446 | C2×C3×C8 | C23×C4 | 1 | 4 | yes | — |
| 447 | C2×C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 448 | C2×C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 449 | C2×C3×C8 | C2×#41 | 1 | 4 | yes | — |
| 450 | C3×C42 | — | 2 | 1 | no | — |
| 451 | C3×C42 | C23×C4 | 1 | 2 | yes | — |
| 452 | #217 | — | 2 | 4 | no | — |
| 453 | #217 | — | 2 | 8 | no | — |
| 454 | #217 | — | 4 | 8 | no | — |
| 455 | #217 | — | 4 | 8 | no | — |
| 456 | #217 | — | 4 | 8 | no | — |
| 457 | #217 | — | 8 | 8 | no | — |
| 458 | C4⋊Dic3 | — | 2 | 8 | no | — |
| 459 | C4⋊Dic3 | — | 2 | 8 | no | — |
| 460 | C4⋊Dic3 | — | 4 | 8 | no | — |
| 461 | C4⋊Dic3 | — | 8 | 4 | no | — |
| 462 | C4⋊Dic3 | C22×D4 | 1 | 8 | yes | — |
| 463 | C4×Dic3 | — | 2 | 4 | no | — |
| 464 | C4×Dic3 | — | 2 | 8 | no | — |
| 465 | C4×Dic3 | — | 2 | 2 | no | — |
| 466 | C4×Dic3 | — | 4 | 8 | no | — |
| 467 | C4×Dic3 | — | 4 | 4 | no | — |
| 468 | C4×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 469 | #208 | — | 2 | 4 | no | — |
| 470 | #208 | — | 2 | 4 | no | — |
| 471 | #208 | — | 4 | 8 | no | — |
| 472 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 473 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 474 | C2×C3⋊C8 | — | 2 | 4 | no | — |
| 475 | C2×C3⋊C8 | — | 4 | 8 | no | — |
| 476 | C2×C3⋊C8 | C22×D4 | 1 | 4 | yes | — |
| 477 | H(5,𝔽2) | — | 2 | 16 | no | — |
| 478 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 479 | H(5,𝔽2) | C22×Dic3 | 1 | 16 | yes | complemented |
| 480 | C2×#41 | — | 2 | 8 | no | — |
| 481 | C2×#41 | C23×D3 | 1 | 4 | yes | — |
| 482 | C22×D4 | — | 2 | 8 | no | — |
| 483 | C22×D4 | — | 4 | 2 | no | — |
| 484 | C22×D4 | — | 4 | 4 | no | — |
| 485 | C22×D4 | C23×D3 | 1 | 4 | yes | — |
| 486 | C23×C4 | — | 6 | 4 | no | — |
| 487 | C23×C4 | — | 12 | 4 | no | — |
| 488 | AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 489 | AGL(1,ℤ/8) | — | 2 | 64 | no | — |
| 490 | AGL(1,ℤ/8) | C22×Dic3 | 1 | 32 | yes | complemented |
| 491 | #135 | — | 2 | 32 | no | — |
| 492 | #135 | #237 | 1 | 8 | yes | — |
| 493 | #135 | C22×Dic3 | 1 | 8 | yes | — |
| 494 | C2×Q16 | D3×D4 | 1 | 2 | yes | — |
| 495 | C2×SD16 | — | 2 | 8 | no | — |
| 496 | C2×SD16 | D3×D4 | 1 | 4 | yes | — |
| 497 | C2×D8 | — | 2 | 8 | no | — |
| 498 | C2×D8 | — | 2 | 32 | no | — |
| 499 | C2×D8 | — | 2 | 4 | no | — |
| 500 | C2×D8 | — | 2 | 4 | no | — |
| 501 | C2×D8 | — | 2 | 8 | no | — |
| 502 | C2×D8 | D3×D4 | 1 | 2 | yes | — |
| 503 | C2×D8 | C22×Dic3 | 1 | 16 | yes | complemented |
| 504 | #131 | — | 2 | 8 | no | — |
| 505 | #131 | — | 6 | 8 | no | — |
| 506 | #131 | — | 12 | 4 | no | — |
| 507 | #131 | C22×Dic3 | 1 | 16 | yes | complemented |
| 508 | C2×M16 | — | 2 | 4 | no | — |
| 509 | C2×M16 | — | 3 | 4 | no | — |
| 510 | C2×M16 | — | 6 | 4 | no | — |
| 511 | C2×M16 | C23×D3 | 1 | 4 | yes | — |
| 512 | C22×C8 | — | 2 | 4 | no | — |
| 513 | C22×C8 | — | 3 | 2 | no | — |
| 514 | C22×C8 | — | 6 | 4 | no | — |
| 515 | C22×C8 | C23×D3 | 1 | 2 | yes | — |
| 516 | #127 | — | 4 | 2 | no | — |
| 517 | #127 | C22×Dic3 | 1 | 8 | yes | complemented |
| 518 | C4×Q8 | — | 3 | 8 | no | — |
| 519 | C4×Q8 | — | 6 | 8 | no | — |
| 520 | C4×D4 | — | 3 | 8 | no | — |
| 521 | C4×D4 | — | 6 | 8 | no | — |
| 522 | C4×D4 | — | 6 | 8 | no | — |
| 523 | C4×D4 | — | 6 | 8 | no | — |
| 524 | C4×D4 | — | 6 | 8 | no | — |
| 525 | C4×D4 | — | 6 | 8 | no | — |
| 526 | C4×D4 | — | 6 | 8 | no | — |
| 527 | C4×D4 | — | 12 | 8 | no | — |
| 528 | C4×D4 | — | 12 | 8 | no | — |
| 529 | C4×D4 | — | 12 | 8 | no | — |
| 530 | C4×D4 | — | 12 | 8 | no | — |
| 531 | C4×D4 | — | 12 | 8 | no | — |
| 532 | C4×D4 | — | 24 | 8 | no | — |
| 533 | #117 | — | 3 | 4 | no | — |
| 534 | #117 | — | 6 | 4 | no | — |
| 535 | #117 | — | 6 | 8 | no | — |
| 536 | #117 | — | 12 | 8 | no | — |
| 537 | C2×C4⋊C4 | — | 3 | 4 | no | — |
| 538 | C2×C4⋊C4 | — | 6 | 8 | no | — |
| 539 | C2×C4⋊C4 | — | 12 | 4 | no | — |
| 540 | C2×C4⋊C4 | — | 12 | 2 | no | — |
| 541 | C2×C22⋊C4 | — | 6 | 4 | no | — |
| 542 | C2×C22⋊C4 | — | 12 | 4 | no | — |
| 543 | C2×C22⋊C4 | — | 12 | 4 | no | — |
| 544 | C2×C22⋊C4 | — | 12 | 8 | no | — |
| 545 | C2×C22⋊C4 | — | 12 | 4 | no | — |
| 546 | C2×C42 | — | 3 | 1 | no | — |
| 547 | C2×C42 | — | 3 | 1 | no | — |
| 548 | C2×C42 | — | 6 | 4 | no | — |
| 549 | C2×C42 | — | 6 | 2 | no | — |
| 550 | C2×C42 | — | 12 | 4 | no | — |
| 551 | C2×C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 552 | #108 | — | 6 | 4 | no | — |
| 553 | #108 | C22×Dic3 | 1 | 8 | yes | complemented |
| 554 | #107 | — | 3 | 4 | no | — |
| 555 | #107 | — | 6 | 8 | no | — |
| 556 | #106 | — | 3 | 4 | no | — |
| 557 | #106 | — | 6 | 8 | no | — |
| 558 | #106 | — | 6 | 4 | no | — |
| 559 | #106 | — | 6 | 4 | no | — |
| 560 | #104 | — | 6 | 8 | no | — |
| 561 | #104 | C22×Dic3 | 1 | 16 | yes | complemented |
| 562 | #103 | — | 3 | 8 | no | — |
| 563 | #103 | — | 6 | 8 | no | — |
| 564 | #102 | — | 3 | 8 | no | — |
| 565 | #102 | — | 6 | 8 | no | — |
| 566 | #102 | — | 6 | 8 | no | — |
| 567 | #102 | — | 6 | 8 | no | — |
| 568 | #102 | — | 6 | 8 | no | — |
| 569 | #102 | — | 6 | 8 | no | — |
| 570 | #100 | — | 12 | 4 | no | — |
| 571 | #100 | C22×Dic3 | 1 | 16 | yes | complemented |
| 572 | #97 | — | 3 | 4 | no | — |
| 573 | #97 | — | 3 | 4 | no | — |
| 574 | #97 | — | 6 | 4 | no | — |
| 575 | #97 | — | 6 | 4 | no | — |
| 576 | #97 | — | 6 | 4 | no | — |
| 577 | #97 | — | 6 | 4 | no | — |
| 578 | C4×C8 | — | 6 | 4 | no | — |
| 579 | C4×C8 | — | 6 | 4 | no | — |
| 580 | C4×C8 | — | 6 | 4 | no | — |
| 581 | C4×C8 | — | 12 | 1 | no | — |
| 582 | C4×C8 | C22×Dic3 | 1 | 4 | yes | complemented |
| 583 | C23×C3 | — | 2 | 4 | no | — |
| 584 | C23×C3 | — | 2 | 8 | no | — |
| 585 | C23×C3 | — | 4 | 16 | no | — |
| 586 | C23×C3 | — | 4 | 4 | no | — |
| 587 | C23×C3 | — | 4 | 4 | no | — |
| 588 | C23×C3 | — | 8 | 4 | no | — |
| 589 | C23×C3 | — | 8 | 4 | no | — |
| 590 | C23×C3 | — | 16 | 4 | no | — |
| 591 | C23×C3 | — | 16 | 4 | no | — |
| 592 | C23×C3 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 593 | C3×Q8 | — | 2 | 4 | no | — |
| 594 | C3×Q8 | C2×C4×D4 | 1 | 8 | yes | — |
| 595 | C3×D4 | — | 2 | 8 | no | — |
| 596 | C3×D4 | — | 2 | 8 | no | — |
| 597 | C3×D4 | — | 2 | 16 | no | — |
| 598 | C3×D4 | — | 2 | 4 | no | — |
| 599 | C3×D4 | — | 4 | 32 | no | — |
| 600 | C3×D4 | — | 4 | 8 | no | — |
| 601 | C3×D4 | — | 8 | 16 | no | — |
| 602 | C3×D4 | C2×C4×D4 | 1 | 8 | yes | — |
| 603 | C2×C3×C4 | — | 2 | 4 | no | — |
| 604 | C2×C3×C4 | — | 2 | 2 | no | — |
| 605 | C2×C3×C4 | — | 2 | 4 | no | — |
| 606 | C2×C3×C4 | — | 2 | 8 | no | — |
| 607 | C2×C3×C4 | — | 2 | 8 | no | — |
| 608 | C2×C3×C4 | — | 4 | 16 | no | — |
| 609 | C2×C3×C4 | C24×C4 | 1 | 1 | yes | characteristic |
| 610 | C2×C3×C4 | C23×D4 | 1 | 2 | yes | — |
| 611 | C2×C3×C4 | C22×#41 | 1 | 2 | yes | — |
| 612 | C2×C3×C4 | #585 | 1 | 1 | yes | characteristic |
| 613 | C2×Dic3 | — | 2 | 8 | no | — |
| 614 | C2×Dic3 | — | 4 | 2 | no | — |
| 615 | C2×Dic3 | — | 4 | 2 | no | — |
| 616 | C2×Dic3 | — | 4 | 4 | no | — |
| 617 | C2×Dic3 | — | 4 | 1 | no | — |
| 618 | C2×Dic3 | — | 8 | 8 | no | — |
| 619 | C2×Dic3 | — | 8 | 8 | no | — |
| 620 | C2×Dic3 | — | 8 | 4 | no | — |
| 621 | C2×Dic3 | — | 16 | 4 | no | — |
| 622 | C2×Dic3 | — | 16 | 4 | no | — |
| 623 | C2×Dic3 | — | 16 | 4 | no | — |
| 624 | C2×Dic3 | — | 16 | 8 | no | — |
| 625 | C2×Dic3 | D42 | 1 | 4 | yes | — |
| 626 | C3×C8 | — | 2 | 8 | no | — |
| 627 | C3×C8 | C2×C4×D4 | 1 | 4 | yes | — |
| 628 | C3×C8 | C2×C4×D4 | 1 | 4 | yes | — |
| 629 | C3⋊C8 | — | 2 | 4 | no | — |
| 630 | C3⋊C8 | — | 4 | 4 | no | — |
| 631 | C24 | — | 2 | 4 | no | — |
| 632 | C24 | — | 4 | 4 | no | — |
| 633 | #41 | — | 2 | 4 | no | — |
| 634 | #41 | — | 2 | 4 | no | — |
| 635 | #41 | — | 2 | 32 | no | — |
| 636 | #41 | — | 4 | 16 | no | — |
| 637 | #41 | C2×#237 | 1 | 8 | yes | — |
| 638 | #41 | C23×Dic3 | 1 | 8 | yes | — |
| 639 | C2×Q8 | C2×D3×D4 | 1 | 4 | yes | — |
| 640 | C2×D4 | — | 2 | 4 | no | — |
| 641 | C2×D4 | — | 2 | 32 | no | — |
| 642 | C2×D4 | — | 2 | 8 | no | — |
| 643 | C2×D4 | — | 2 | 8 | no | — |
| 644 | C2×D4 | — | 2 | 4 | no | — |
| 645 | C2×D4 | — | 4 | 16 | no | — |
| 646 | C2×D4 | — | 4 | 8 | no | — |
| 647 | C2×D4 | — | 4 | 8 | no | — |
| 648 | C2×D4 | — | 4 | 16 | no | — |
| 649 | C2×D4 | — | 4 | 16 | no | — |
| 650 | C2×D4 | — | 8 | 4 | no | — |
| 651 | C2×D4 | — | 8 | 4 | no | — |
| 652 | C2×D4 | C2×D3×D4 | 1 | 4 | yes | — |
| 653 | C2×D4 | C23×Dic3 | 1 | 8 | yes | — |
| 654 | C22×C4 | — | 2 | 1 | no | — |
| 655 | C22×C4 | — | 2 | 4 | no | — |
| 656 | C22×C4 | — | 3 | 2 | no | — |
| 657 | C22×C4 | — | 4 | 4 | no | — |
| 658 | C22×C4 | — | 6 | 8 | no | — |
| 659 | C22×C4 | — | 6 | 1 | no | — |
| 660 | C22×C4 | — | 6 | 4 | no | — |
| 661 | C22×C4 | — | 12 | 4 | no | — |
| 662 | C22×C4 | — | 12 | 4 | no | — |
| 663 | C22×C4 | — | 12 | 4 | no | — |
| 664 | C22×C4 | — | 12 | 4 | no | — |
| 665 | C22×C4 | — | 12 | 8 | no | — |
| 666 | C22×C4 | — | 24 | 8 | no | — |
| 667 | C22×C4 | — | 48 | 8 | no | — |
| 668 | C22×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 669 | Q16 | D4×Dic3 | 1 | 8 | yes | complemented |
| 670 | SD16 | — | 2 | 32 | no | — |
| 671 | SD16 | D4×Dic3 | 1 | 16 | yes | complemented |
| 672 | D8 | — | 2 | 32 | no | — |
| 673 | D8 | — | 2 | 16 | no | — |
| 674 | D8 | — | 2 | 16 | no | — |
| 675 | D8 | D4×Dic3 | 1 | 8 | yes | complemented |
| 676 | M16 | — | 2 | 4 | no | — |
| 677 | M16 | — | 2 | 16 | no | — |
| 678 | M16 | — | 6 | 4 | no | — |
| 679 | M16 | — | 6 | 4 | no | — |
| 680 | M16 | — | 12 | 8 | no | — |
| 681 | M16 | C23×Dic3 | 1 | 8 | yes | — |
| 682 | C2×C8 | — | 2 | 4 | no | — |
| 683 | C2×C8 | — | 2 | 16 | no | — |
| 684 | C2×C8 | — | 3 | 4 | no | — |
| 685 | C2×C8 | — | 6 | 2 | no | — |
| 686 | C2×C8 | — | 6 | 2 | no | — |
| 687 | C2×C8 | — | 6 | 4 | no | — |
| 688 | C2×C8 | — | 12 | 8 | no | — |
| 689 | C2×C8 | C2×D3×D4 | 1 | 2 | yes | — |
| 690 | C2×C8 | C2×D3×D4 | 1 | 2 | yes | — |
| 691 | C2×C8 | C2×#237 | 1 | 4 | yes | — |
| 692 | C2×C8 | C23×Dic3 | 1 | 4 | yes | — |
| 693 | C4⋊C4 | — | 3 | 8 | no | — |
| 694 | C4⋊C4 | — | 6 | 8 | no | — |
| 695 | C4⋊C4 | — | 6 | 8 | no | — |
| 696 | C4⋊C4 | — | 12 | 8 | no | — |
| 697 | C4⋊C4 | — | 24 | 4 | no | — |
| 698 | C22⋊C4 | — | 6 | 8 | no | — |
| 699 | C22⋊C4 | — | 6 | 4 | no | — |
| 700 | C22⋊C4 | — | 12 | 8 | no | — |
| 701 | C22⋊C4 | — | 12 | 8 | no | — |
| 702 | C22⋊C4 | — | 12 | 8 | no | — |
| 703 | C22⋊C4 | — | 24 | 8 | no | — |
| 704 | C42 | — | 2 | 1 | no | — |
| 705 | C42 | — | 3 | 4 | no | — |
| 706 | C42 | — | 6 | 8 | no | — |
| 707 | C42 | — | 6 | 4 | no | — |
| 708 | C42 | — | 6 | 2 | no | — |
| 709 | C42 | — | 12 | 8 | no | — |
| 710 | C42 | — | 12 | 4 | no | — |
| 711 | C42 | C23×Dic3 | 1 | 2 | yes | — |
| 712 | C22×C3 | — | 2 | 2 | no | — |
| 713 | C22×C3 | — | 2 | 8 | no | — |
| 714 | C22×C3 | — | 4 | 8 | no | — |
| 715 | C22×C3 | — | 4 | 8 | no | — |
| 716 | C22×C3 | — | 8 | 8 | no | — |
| 717 | C22×C3 | — | 8 | 4 | no | — |
| 718 | C22×C3 | — | 8 | 4 | no | — |
| 719 | C22×C3 | — | 16 | 4 | no | — |
| 720 | C22×C3 | — | 16 | 16 | no | — |
| 721 | C22×C3 | C4×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 722 | C22×C3 | C2×D42 | 1 | 1 | yes | characteristic |
| 723 | C22×C3 | #3481 | 1 | 1 | yes | characteristic |
| 724 | C3×C4 | — | 2 | 4 | no | — |
| 725 | C3×C4 | — | 2 | 8 | no | — |
| 726 | C3×C4 | C22×C4×D4 | 1 | 2 | yes | — |
| 727 | C3×C4 | D4×#41 | 1 | 2 | yes | — |
| 728 | Dic3 | — | 2 | 4 | no | — |
| 729 | Dic3 | — | 4 | 8 | no | — |
| 730 | Dic3 | — | 8 | 1 | no | — |
| 731 | Dic3 | — | 8 | 4 | no | — |
| 732 | C23 | — | 2 | 4 | no | — |
| 733 | C23 | — | 2 | 8 | no | — |
| 734 | C23 | — | 4 | 16 | no | — |
| 735 | C23 | — | 4 | 4 | no | — |
| 736 | C23 | — | 4 | 4 | no | — |
| 737 | C23 | — | 8 | 4 | no | — |
| 738 | C23 | — | 8 | 4 | no | — |
| 739 | C23 | — | 16 | 4 | no | — |
| 740 | C23 | — | 16 | 4 | no | — |
| 741 | C23 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 742 | Q8 | — | 2 | 4 | no | — |
| 743 | Q8 | C2×D4×Dic3 | 1 | 8 | yes | — |
| 744 | D4 | — | 2 | 8 | no | — |
| 745 | D4 | — | 2 | 8 | no | — |
| 746 | D4 | — | 2 | 4 | no | — |
| 747 | D4 | — | 2 | 16 | no | — |
| 748 | D4 | — | 4 | 32 | no | — |
| 749 | D4 | — | 4 | 8 | no | — |
| 750 | D4 | — | 8 | 16 | no | — |
| 751 | D4 | C2×D4×Dic3 | 1 | 8 | yes | — |
| 752 | C2×C4 | — | 2 | 4 | no | — |
| 753 | C2×C4 | — | 2 | 4 | no | — |
| 754 | C2×C4 | — | 2 | 2 | no | — |
| 755 | C2×C4 | — | 2 | 8 | no | — |
| 756 | C2×C4 | — | 2 | 8 | no | — |
| 757 | C2×C4 | — | 3 | 4 | no | — |
| 758 | C2×C4 | — | 4 | 16 | no | — |
| 759 | C2×C4 | — | 6 | 8 | no | — |
| 760 | C2×C4 | — | 12 | 2 | no | — |
| 761 | C2×C4 | — | 12 | 2 | no | — |
| 762 | C2×C4 | — | 12 | 1 | no | — |
| 763 | C2×C4 | — | 12 | 4 | no | — |
| 764 | C2×C4 | — | 24 | 8 | no | — |
| 765 | C2×C4 | — | 24 | 8 | no | — |
| 766 | C2×C4 | — | 24 | 4 | no | — |
| 767 | C2×C4 | — | 48 | 4 | no | — |
| 768 | C2×C4 | — | 48 | 4 | no | — |
| 769 | C2×C4 | — | 48 | 4 | no | — |
| 770 | C2×C4 | — | 48 | 8 | no | — |
| 771 | C2×C4 | C22×D3×D4 | 1 | 2 | yes | — |
| 772 | C2×C4 | C22×#237 | 1 | 2 | yes | — |
| 773 | C2×C4 | #5966 | 1 | 1 | yes | characteristic |
| 774 | C2×C4 | C24×Dic3 | 1 | 1 | yes | characteristic |
| 775 | C8 | — | 2 | 8 | no | — |
| 776 | C8 | — | 6 | 4 | no | — |
| 777 | C8 | — | 12 | 4 | no | — |
| 778 | C8 | C2×D4×Dic3 | 1 | 4 | yes | — |
| 779 | C8 | C2×D4×Dic3 | 1 | 4 | yes | — |
| 780 | C2×C3 | — | 2 | 1 | no | — |
| 781 | C2×C3 | — | 2 | 1 | no | — |
| 782 | C2×C3 | — | 4 | 8 | no | — |
| 783 | C2×C3 | — | 8 | 8 | no | — |
| 784 | C2×C3 | C4×D42 | 1 | 1 | yes | characteristic |
| 785 | C2×C3 | #61110 | 1 | 2 | yes | — |
| 786 | C22 | — | 2 | 2 | no | — |
| 787 | C22 | — | 2 | 8 | no | — |
| 788 | C22 | — | 4 | 8 | no | — |
| 789 | C22 | — | 4 | 8 | no | — |
| 790 | C22 | — | 8 | 8 | no | — |
| 791 | C22 | — | 8 | 4 | no | — |
| 792 | C22 | — | 8 | 4 | no | — |
| 793 | C22 | — | 16 | 4 | no | — |
| 794 | C22 | — | 16 | 16 | no | — |
| 795 | C22 | #86606 | 1 | 1 | yes | characteristic |
| 796 | C22 | D3×D42 | 1 | 1 | yes | characteristic |
| 797 | C22 | Dic3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 798 | C4 | — | 2 | 4 | no | — |
| 799 | C4 | — | 2 | 8 | no | — |
| 800 | C4 | — | 6 | 4 | no | — |
| 801 | C4 | — | 12 | 8 | no | — |
| 802 | C4 | — | 24 | 1 | no | — |
| 803 | C4 | — | 24 | 4 | no | — |
| 804 | C4 | D4×#237 | 1 | 2 | yes | — |
| 805 | C4 | C22×D4×Dic3 | 1 | 2 | yes | — |
| 806 | C3 | #6383881 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 807 | C2 | — | 2 | 1 | no | — |
| 808 | C2 | — | 2 | 1 | no | — |
| 809 | C2 | — | 4 | 8 | no | — |
| 810 | C2 | — | 8 | 8 | no | — |
| 811 | C2 | D42×Dic3 | 1 | 1 | yes | characteristic |
| 812 | C2 | #11671494 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta