Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1086 conjugacy classes of subgroups.
The subgroup lattice has 1034 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596245 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10595454 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595449 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595102 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#5198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10591667 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10591662 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10591511 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10591508 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10591482 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10591015 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10590988 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10590987 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10590977 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #80941 | — | 3 | 1 | no | maximal |
| 17 | #80282 | — | 3 | 1 | no | maximal |
| 18 | #64366 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #64361 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C3×#1009 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #64307 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C32×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #64159 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#3753 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #64125 | — | 2 | 1 | no | — |
| 26 | #64123 | — | 2 | 1 | no | — |
| 27 | #64120 | — | 2 | 1 | no | — |
| 28 | D8×C3⋊D3 | — | 2 | 1 | no | — |
| 29 | #64117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #64116 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#949 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C3×#940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C3×#932 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×C3×#213 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #63947 | — | 2 | 1 | no | — |
| 37 | #63939 | — | 2 | 1 | no | — |
| 38 | #63937 | — | 2 | 1 | no | — |
| 39 | #63936 | — | 2 | 1 | no | — |
| 40 | #63932 | — | 2 | 1 | no | — |
| 41 | #63927 | — | 2 | 1 | no | — |
| 42 | #63926 | — | 2 | 1 | no | — |
| 43 | D3×#213 | — | 2 | 1 | no | — |
| 44 | #63911 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #63830 | — | 2 | 1 | no | — |
| 46 | #63830 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #63830 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #63830 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #63829 | — | 2 | 1 | no | — |
| 50 | #63829 | C22 | 1 | 1 | yes | characteristic |
| 51 | #63825 | — | 2 | 1 | no | — |
| 52 | #63825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#3714 | — | 2 | 1 | no | — |
| 54 | C2×#3714 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×#3713 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #63817 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #63815 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C3×#837 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C3×#833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C3×#825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C3×#823 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C3×#823 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | C3×#822 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #63578 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #63570 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #63570 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #63559 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | Dic3×C3⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #5835 | — | 3 | 1 | no | — |
| 70 | #5835 | — | 3 | 1 | no | — |
| 71 | #5774 | — | 3 | 1 | no | — |
| 72 | #5774 | — | 3 | 1 | no | — |
| 73 | #5774 | — | 3 | 1 | no | — |
| 74 | #5774 | — | 3 | 1 | no | — |
| 75 | #5774 | — | 6 | 1 | no | — |
| 76 | #5757 | — | 3 | 1 | no | — |
| 77 | #5752 | — | 3 | 1 | no | — |
| 78 | C3×#472 | — | 3 | 1 | no | — |
| 79 | C3×#453 | — | 3 | 1 | no | — |
| 80 | #5199 | — | 3 | 1 | no | — |
| 81 | #5199 | D3 | 1 | 1 | yes | characteristic, complemented |
| 82 | #5198 | — | 3 | 1 | no | — |
| 83 | #5198 | D3 | 1 | 1 | yes | characteristic, complemented |
| 84 | #5151 | — | 3 | 1 | no | — |
| 85 | #5144 | — | 3 | 1 | no | — |
| 86 | #5077 | — | 3 | 1 | no | — |
| 87 | #5073 | — | 3 | 1 | no | — |
| 88 | #4897 | — | 3 | 1 | no | — |
| 89 | #4895 | — | 3 | 1 | no | — |
| 90 | #4824 | — | 3 | 1 | no | — |
| 91 | #4824 | — | 3 | 1 | no | — |
| 92 | #4822 | — | 3 | 1 | no | — |
| 93 | #4822 | — | 3 | 1 | no | — |
| 94 | #4749 | — | 3 | 1 | no | — |
| 95 | #4749 | — | 3 | 1 | no | — |
| 96 | #4749 | — | 3 | 1 | no | — |
| 97 | #4749 | — | 3 | 1 | no | — |
| 98 | #4747 | — | 3 | 1 | no | — |
| 99 | #4747 | — | 3 | 1 | no | — |
| 100 | C32×#41 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×#638 | — | 4 | 1 | no | — |
| 103 | #3832 | — | 2 | 1 | no | — |
| 104 | #3830 | — | 2 | 1 | no | — |
| 105 | #3830 | — | 2 | 1 | no | — |
| 106 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 107 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 108 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 109 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 110 | #3828 | — | 2 | 1 | no | — |
| 111 | #3828 | C23 | 1 | 1 | yes | characteristic |
| 112 | #3828 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 114 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 115 | C2×C3×#67 | — | 4 | 1 | no | — |
| 116 | C3×#239 | — | 2 | 1 | no | — |
| 117 | C3×D3×D4 | — | 2 | 1 | no | — |
| 118 | C3×D3×D4 | — | 4 | 1 | no | — |
| 119 | C3×#235 | — | 2 | 1 | no | — |
| 120 | C3×#235 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×C3×D12 | — | 2 | 1 | no | — |
| 122 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 123 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 124 | D3×#67 | — | 4 | 1 | no | — |
| 125 | C2×#626 | — | 4 | 1 | no | — |
| 126 | #3802 | — | 2 | 1 | no | — |
| 127 | D3×D12 | — | 2 | 1 | no | — |
| 128 | #3796 | — | 2 | 1 | no | — |
| 129 | #3795 | — | 2 | 1 | no | — |
| 130 | C32×SD16 | — | 2 | 1 | no | — |
| 131 | C32×D8 | — | 2 | 1 | no | — |
| 132 | C32×M16 | C23 | 1 | 1 | yes | characteristic |
| 133 | #3756 | D4 | 1 | 1 | yes | characteristic, complemented |
| 134 | #3755 | D4 | 1 | 1 | yes | characteristic, complemented |
| 135 | #3754 | D4 | 1 | 1 | yes | characteristic, complemented |
| 136 | #3753 | — | 2 | 1 | no | — |
| 137 | #3753 | — | 2 | 1 | no | — |
| 138 | #3753 | D4 | 1 | 1 | yes | characteristic, complemented |
| 139 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 140 | #3745 | — | 2 | 1 | no | — |
| 141 | #3744 | — | 2 | 1 | no | — |
| 142 | #3743 | — | 2 | 1 | no | — |
| 143 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 144 | C3×#215 | — | 2 | 1 | no | — |
| 145 | C3×#214 | — | 2 | 1 | no | — |
| 146 | C3×#213 | — | 2 | 1 | no | — |
| 147 | C3×#213 | — | 2 | 1 | no | — |
| 148 | C3×#213 | — | 2 | 1 | no | — |
| 149 | C3×#213 | — | 2 | 1 | no | — |
| 150 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 151 | C3×#208 | — | 2 | 1 | no | — |
| 152 | C3×#208 | C23 | 1 | 1 | yes | characteristic |
| 153 | C3×#208 | C23 | 1 | 1 | yes | characteristic |
| 154 | C3×#208 | C23 | 1 | 1 | yes | characteristic |
| 155 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 156 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 157 | #3719 | D4 | 1 | 1 | yes | characteristic, complemented |
| 158 | #3717 | — | 2 | 1 | no | — |
| 159 | #3717 | D4 | 1 | 1 | yes | characteristic, complemented |
| 160 | #3716 | — | 2 | 1 | no | — |
| 161 | #3716 | — | 2 | 1 | no | — |
| 162 | #3716 | — | 2 | 1 | no | — |
| 163 | #3716 | D4 | 1 | 1 | yes | characteristic, complemented |
| 164 | #3714 | — | 2 | 1 | no | — |
| 165 | #3714 | — | 2 | 1 | no | — |
| 166 | #3714 | — | 2 | 1 | no | — |
| 167 | #3714 | — | 2 | 1 | no | — |
| 168 | #3714 | — | 2 | 1 | no | — |
| 169 | #3714 | — | 2 | 1 | no | — |
| 170 | #3714 | D4 | 1 | 1 | yes | characteristic, complemented |
| 171 | #3713 | — | 2 | 1 | no | — |
| 172 | #3713 | — | 2 | 1 | no | — |
| 173 | #3712 | — | 2 | 1 | no | — |
| 174 | #3711 | — | 2 | 1 | no | — |
| 175 | #3710 | — | 2 | 1 | no | — |
| 176 | D3×C3⋊C8 | — | 2 | 1 | no | — |
| 177 | #3292 | — | 9 | 1 | no | Sylow |
| 178 | C3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 179 | #1009 | — | 3 | 1 | no | — |
| 180 | #1009 | — | 3 | 1 | no | — |
| 181 | #1009 | — | 3 | 1 | no | — |
| 182 | #1009 | — | 6 | 1 | no | — |
| 183 | #1009 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 184 | #1004 | — | 3 | 1 | no | — |
| 185 | #1004 | — | 3 | 1 | no | — |
| 186 | #1004 | — | 3 | 1 | no | — |
| 187 | #1004 | — | 6 | 1 | no | — |
| 188 | C3×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 189 | C3×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 190 | C3×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 191 | C3×AGL(1,ℤ/8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 192 | C3×AGL(1,ℤ/8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 193 | C2×C3×D8 | — | 3 | 1 | no | — |
| 194 | C3×#131 | — | 3 | 1 | no | — |
| 195 | C3×#127 | — | 3 | 1 | no | — |
| 196 | #950 | — | 3 | 1 | no | — |
| 197 | #950 | — | 3 | 1 | no | — |
| 198 | #950 | — | 3 | 1 | no | — |
| 199 | #950 | — | 6 | 1 | no | — |
| 200 | #950 | — | 6 | 1 | no | — |
| 201 | #950 | — | 6 | 1 | no | — |
| 202 | #949 | — | 3 | 1 | no | — |
| 203 | #949 | — | 6 | 1 | no | — |
| 204 | #949 | — | 6 | 1 | no | — |
| 205 | #949 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 206 | #948 | — | 3 | 1 | no | — |
| 207 | #948 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 208 | #940 | — | 3 | 1 | no | — |
| 209 | #940 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 210 | #932 | — | 3 | 1 | no | — |
| 211 | #932 | — | 3 | 1 | no | — |
| 212 | #932 | — | 3 | 1 | no | — |
| 213 | #932 | — | 6 | 1 | no | — |
| 214 | #932 | — | 6 | 1 | no | — |
| 215 | #932 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 216 | C2×#213 | — | 3 | 1 | no | — |
| 217 | C2×#213 | — | 3 | 1 | no | — |
| 218 | C2×#213 | — | 3 | 1 | no | — |
| 219 | C2×#213 | — | 3 | 1 | no | — |
| 220 | C2×#213 | — | 3 | 1 | no | — |
| 221 | C2×#213 | — | 6 | 1 | no | — |
| 222 | C2×#213 | — | 6 | 1 | no | — |
| 223 | C2×#213 | — | 6 | 1 | no | — |
| 224 | C2×#213 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 225 | #916 | — | 6 | 1 | no | — |
| 226 | #916 | — | 6 | 1 | no | — |
| 227 | #916 | — | 6 | 1 | no | — |
| 228 | #916 | — | 6 | 1 | no | — |
| 229 | #916 | — | 6 | 2 | no | — |
| 230 | #914 | — | 6 | 1 | no | — |
| 231 | #914 | — | 6 | 1 | no | — |
| 232 | #914 | — | 6 | 1 | no | — |
| 233 | #914 | — | 6 | 1 | no | — |
| 234 | #914 | — | 6 | 2 | no | — |
| 235 | #912 | — | 6 | 1 | no | — |
| 236 | #911 | — | 6 | 1 | no | — |
| 237 | #911 | — | 6 | 1 | no | — |
| 238 | #911 | — | 6 | 1 | no | — |
| 239 | #911 | — | 6 | 1 | no | — |
| 240 | #911 | — | 6 | 1 | no | — |
| 241 | #911 | — | 6 | 1 | no | — |
| 242 | #911 | — | 6 | 2 | no | — |
| 243 | D3×D8 | — | 6 | 1 | no | — |
| 244 | D3×D8 | — | 6 | 1 | no | — |
| 245 | D3×D8 | — | 6 | 1 | no | — |
| 246 | D3×D8 | — | 6 | 1 | no | — |
| 247 | D3×D8 | — | 6 | 1 | no | — |
| 248 | D3×D8 | — | 6 | 2 | no | — |
| 249 | #908 | — | 3 | 1 | no | — |
| 250 | #908 | — | 3 | 1 | no | — |
| 251 | #908 | — | 3 | 1 | no | — |
| 252 | #908 | — | 3 | 1 | no | — |
| 253 | #908 | — | 3 | 1 | no | — |
| 254 | #908 | — | 3 | 1 | no | — |
| 255 | #908 | — | 6 | 1 | no | — |
| 256 | #908 | — | 6 | 1 | no | — |
| 257 | #908 | — | 6 | 1 | no | — |
| 258 | #907 | — | 3 | 1 | no | — |
| 259 | #907 | — | 3 | 1 | no | — |
| 260 | #907 | — | 3 | 1 | no | — |
| 261 | #907 | — | 3 | 1 | no | — |
| 262 | #907 | — | 6 | 1 | no | — |
| 263 | #904 | — | 3 | 1 | no | — |
| 264 | #904 | — | 6 | 1 | no | — |
| 265 | C2×D24 | — | 3 | 1 | no | — |
| 266 | C2×D24 | — | 6 | 1 | no | — |
| 267 | #901 | — | 3 | 1 | no | — |
| 268 | #874 | — | 3 | 1 | no | — |
| 269 | C3×#108 | — | 3 | 1 | no | — |
| 270 | C3×#104 | — | 3 | 1 | no | — |
| 271 | C3×#104 | — | 3 | 1 | no | — |
| 272 | C3×#100 | — | 3 | 1 | no | — |
| 273 | C3×#100 | — | 3 | 1 | no | — |
| 274 | C3×#100 | — | 3 | 1 | no | — |
| 275 | #837 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 276 | #833 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 277 | #825 | — | 3 | 1 | no | — |
| 278 | #825 | — | 3 | 1 | no | — |
| 279 | #825 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 280 | #823 | — | 3 | 1 | no | — |
| 281 | #823 | — | 3 | 1 | no | — |
| 282 | #823 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 283 | #823 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 284 | #822 | — | 3 | 1 | no | — |
| 285 | #822 | — | 3 | 1 | no | — |
| 286 | #822 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 287 | C8×Dic3 | — | 3 | 1 | no | — |
| 288 | #805 | — | 3 | 1 | no | — |
| 289 | #805 | — | 3 | 1 | no | — |
| 290 | C4×C3⋊C8 | — | 3 | 1 | no | — |
| 291 | C23×C32 | — | 2 | 1 | no | — |
| 292 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 293 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 294 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 295 | C22×C3×D3 | — | 2 | 1 | no | — |
| 296 | C22×C3×D3 | — | 2 | 1 | no | — |
| 297 | C22×C3×D3 | — | 4 | 1 | no | — |
| 298 | C2×D32 | — | 4 | 1 | no | — |
| 299 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 300 | C32×D4 | — | 2 | 1 | no | — |
| 301 | C32×D4 | — | 2 | 1 | no | — |
| 302 | C32×D4 | — | 2 | 1 | no | — |
| 303 | C32×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C2×C32×C4 | — | 2 | 1 | no | — |
| 305 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 306 | #638 | — | 2 | 1 | no | — |
| 307 | #638 | — | 2 | 1 | no | — |
| 308 | #638 | — | 4 | 1 | no | — |
| 309 | #638 | — | 4 | 1 | no | — |
| 310 | #638 | — | 4 | 1 | no | — |
| 311 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 312 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 313 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 314 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 315 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 317 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 318 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 319 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 320 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 321 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 322 | C3×#67 | — | 2 | 1 | no | — |
| 323 | C3×#67 | — | 4 | 1 | no | — |
| 324 | C3×#67 | — | 8 | 2 | no | — |
| 325 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 326 | C3×D12 | — | 2 | 1 | no | — |
| 327 | C3×D12 | — | 2 | 1 | no | — |
| 328 | C3×D12 | — | 2 | 1 | no | — |
| 329 | C3×D12 | — | 2 | 1 | no | — |
| 330 | C3×D12 | — | 4 | 1 | no | — |
| 331 | C3×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 332 | C3×C4×D3 | — | 2 | 1 | no | — |
| 333 | C3×C4×D3 | — | 4 | 1 | no | — |
| 334 | C3×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 335 | #626 | — | 4 | 1 | no | — |
| 336 | #626 | — | 8 | 2 | no | — |
| 337 | #625 | — | 4 | 1 | no | — |
| 338 | D3×Dic3 | — | 4 | 1 | no | — |
| 339 | C32×C8 | — | 2 | 1 | no | — |
| 340 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 341 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 342 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 343 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 344 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 345 | C3×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 346 | C3×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 347 | #576 | — | 9 | 1 | no | — |
| 348 | #576 | — | 9 | 1 | no | — |
| 349 | #576 | — | 9 | 1 | no | — |
| 350 | #576 | — | 9 | 1 | no | — |
| 351 | #493 | — | 9 | 1 | no | — |
| 352 | #472 | — | 3 | 1 | no | — |
| 353 | #472 | — | 9 | 1 | no | — |
| 354 | #472 | — | 9 | 1 | no | — |
| 355 | #472 | — | 9 | 1 | no | — |
| 356 | #453 | — | 3 | 1 | no | — |
| 357 | #453 | — | 9 | 1 | no | — |
| 358 | #453 | — | 9 | 1 | no | — |
| 359 | #453 | — | 9 | 1 | no | — |
| 360 | #443 | — | 9 | 1 | no | — |
| 361 | #443 | — | 9 | 1 | no | — |
| 362 | C3×#41 | — | 2 | 1 | no | — |
| 363 | C3×#41 | — | 3 | 1 | no | — |
| 364 | C3×#41 | — | 6 | 1 | no | — |
| 365 | C3×#41 | — | 6 | 1 | no | — |
| 366 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 367 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 368 | C2×C3×D4 | — | 2 | 1 | no | — |
| 369 | C2×C3×D4 | — | 3 | 1 | no | — |
| 370 | C2×C3×D4 | — | 3 | 1 | no | — |
| 371 | C2×C3×D4 | — | 6 | 1 | no | — |
| 372 | C2×C3×D4 | — | 6 | 1 | no | — |
| 373 | C2×C3×D4 | — | 12 | 1 | no | — |
| 374 | C2×C3×D4 | — | 12 | 1 | no | — |
| 375 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 376 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 377 | C2×#67 | — | 4 | 1 | no | — |
| 378 | C2×#67 | — | 12 | 1 | no | — |
| 379 | C2×#67 | — | 12 | 1 | no | — |
| 380 | C2×#67 | — | 12 | 1 | no | — |
| 381 | C2×#67 | — | 12 | 1 | no | — |
| 382 | C2×#67 | — | 12 | 2 | no | — |
| 383 | #239 | — | 2 | 1 | no | — |
| 384 | #239 | — | 6 | 1 | no | — |
| 385 | #239 | — | 6 | 2 | no | — |
| 386 | #239 | — | 6 | 1 | no | — |
| 387 | #239 | — | 6 | 1 | no | — |
| 388 | #237 | — | 6 | 1 | no | — |
| 389 | #237 | — | 6 | 1 | no | — |
| 390 | #237 | — | 6 | 1 | no | — |
| 391 | #237 | — | 6 | 1 | no | — |
| 392 | #237 | — | 6 | 1 | no | — |
| 393 | #237 | — | 6 | 2 | no | — |
| 394 | #237 | — | 6 | 1 | no | — |
| 395 | #237 | — | 12 | 1 | no | — |
| 396 | D3×D4 | — | 2 | 1 | no | — |
| 397 | D3×D4 | — | 4 | 1 | no | — |
| 398 | D3×D4 | — | 6 | 1 | no | — |
| 399 | D3×D4 | — | 6 | 1 | no | — |
| 400 | D3×D4 | — | 6 | 1 | no | — |
| 401 | D3×D4 | — | 6 | 1 | no | — |
| 402 | D3×D4 | — | 6 | 1 | no | — |
| 403 | D3×D4 | — | 6 | 1 | no | — |
| 404 | D3×D4 | — | 6 | 2 | no | — |
| 405 | D3×D4 | — | 6 | 2 | no | — |
| 406 | D3×D4 | — | 6 | 1 | no | — |
| 407 | D3×D4 | — | 6 | 1 | no | — |
| 408 | D3×D4 | — | 6 | 1 | no | — |
| 409 | D3×D4 | — | 12 | 1 | no | — |
| 410 | D3×D4 | — | 12 | 1 | no | — |
| 411 | D3×D4 | — | 12 | 1 | no | — |
| 412 | D3×D4 | — | 12 | 2 | no | — |
| 413 | D3×D4 | — | 12 | 1 | no | — |
| 414 | #235 | — | 2 | 1 | no | — |
| 415 | #235 | — | 3 | 1 | no | — |
| 416 | #235 | — | 3 | 1 | no | — |
| 417 | #235 | — | 3 | 1 | no | — |
| 418 | #235 | — | 3 | 1 | no | — |
| 419 | #235 | — | 6 | 1 | no | — |
| 420 | #235 | — | 6 | 1 | no | — |
| 421 | #235 | — | 6 | 1 | no | — |
| 422 | #235 | — | 6 | 1 | no | — |
| 423 | #235 | — | 6 | 1 | no | — |
| 424 | #235 | — | 12 | 1 | no | — |
| 425 | #235 | C22×D3 | 1 | 1 | yes | characteristic |
| 426 | C2×D12 | — | 2 | 1 | no | — |
| 427 | C2×D12 | — | 3 | 1 | no | — |
| 428 | C2×D12 | — | 3 | 1 | no | — |
| 429 | C2×D12 | — | 6 | 1 | no | — |
| 430 | C2×D12 | — | 6 | 1 | no | — |
| 431 | C2×D12 | — | 6 | 1 | no | — |
| 432 | C2×D12 | — | 6 | 1 | no | — |
| 433 | C2×D12 | — | 12 | 1 | no | — |
| 434 | C2×D12 | — | 12 | 1 | no | — |
| 435 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 436 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 437 | C3×SD16 | — | 2 | 2 | no | — |
| 438 | C3×SD16 | — | 2 | 1 | no | — |
| 439 | C3×SD16 | — | 2 | 1 | no | — |
| 440 | C3×SD16 | — | 6 | 1 | no | — |
| 441 | C3×SD16 | — | 6 | 1 | no | — |
| 442 | C3×D8 | — | 2 | 2 | no | — |
| 443 | C3×D8 | — | 2 | 1 | no | — |
| 444 | C3×D8 | — | 2 | 1 | no | — |
| 445 | C3×D8 | — | 6 | 1 | no | — |
| 446 | C3×D8 | — | 6 | 1 | no | — |
| 447 | C3×D8 | — | 6 | 1 | no | — |
| 448 | C3×D8 | — | 6 | 1 | no | — |
| 449 | C3×M16 | — | 2 | 1 | no | — |
| 450 | C3×M16 | — | 3 | 1 | no | — |
| 451 | C3×M16 | — | 3 | 1 | no | — |
| 452 | C3×M16 | — | 3 | 1 | no | — |
| 453 | C3×M16 | — | 6 | 1 | no | — |
| 454 | C3×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 455 | C3×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 456 | C2×C3×C8 | — | 3 | 1 | no | — |
| 457 | C2×C3×C8 | — | 6 | 1 | no | — |
| 458 | C3×C42 | — | 3 | 1 | no | — |
| 459 | #216 | — | 3 | 1 | no | — |
| 460 | #216 | — | 3 | 1 | no | — |
| 461 | #216 | — | 3 | 1 | no | — |
| 462 | #216 | — | 6 | 1 | no | — |
| 463 | #215 | — | 2 | 1 | no | — |
| 464 | #215 | — | 3 | 1 | no | — |
| 465 | #215 | — | 3 | 1 | no | — |
| 466 | #215 | — | 3 | 1 | no | — |
| 467 | #215 | — | 6 | 1 | no | — |
| 468 | #215 | — | 6 | 1 | no | — |
| 469 | #214 | — | 2 | 1 | no | — |
| 470 | #214 | — | 3 | 1 | no | — |
| 471 | #214 | — | 3 | 1 | no | — |
| 472 | #214 | — | 3 | 1 | no | — |
| 473 | #214 | — | 6 | 1 | no | — |
| 474 | #214 | — | 6 | 1 | no | — |
| 475 | #214 | — | 6 | 1 | no | — |
| 476 | #214 | — | 6 | 1 | no | — |
| 477 | #213 | — | 2 | 1 | no | — |
| 478 | #213 | — | 2 | 1 | no | — |
| 479 | #213 | — | 2 | 1 | no | — |
| 480 | #213 | — | 2 | 1 | no | — |
| 481 | #213 | — | 3 | 1 | no | — |
| 482 | #213 | — | 3 | 1 | no | — |
| 483 | #213 | — | 3 | 1 | no | — |
| 484 | #213 | — | 6 | 1 | no | — |
| 485 | #213 | — | 6 | 1 | no | — |
| 486 | #213 | — | 6 | 1 | no | — |
| 487 | #213 | — | 6 | 1 | no | — |
| 488 | #213 | — | 6 | 1 | no | — |
| 489 | #213 | — | 6 | 1 | no | — |
| 490 | #213 | — | 6 | 1 | no | — |
| 491 | #213 | — | 6 | 1 | no | — |
| 492 | #213 | — | 6 | 1 | no | — |
| 493 | #213 | — | 6 | 1 | no | — |
| 494 | #213 | — | 6 | 1 | no | — |
| 495 | #213 | — | 6 | 1 | no | — |
| 496 | #213 | — | 6 | 1 | no | — |
| 497 | #213 | — | 6 | 2 | no | — |
| 498 | #213 | — | 6 | 2 | no | — |
| 499 | #213 | — | 6 | 1 | no | — |
| 500 | #213 | — | 6 | 1 | no | — |
| 501 | C4×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 502 | #208 | — | 2 | 1 | no | — |
| 503 | #208 | — | 6 | 1 | no | — |
| 504 | #208 | C22×D3 | 1 | 1 | yes | characteristic |
| 505 | #208 | C22×D3 | 1 | 1 | yes | characteristic |
| 506 | #208 | C22×D3 | 1 | 1 | yes | characteristic |
| 507 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 508 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 509 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 510 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 511 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 512 | C2×C3⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 513 | Dic12 | — | 3 | 1 | no | — |
| 514 | D24 | — | 3 | 1 | no | — |
| 515 | D24 | — | 6 | 1 | no | — |
| 516 | D24 | — | 6 | 1 | no | — |
| 517 | D24 | — | 6 | 2 | no | — |
| 518 | D24 | — | 6 | 1 | no | — |
| 519 | D24 | — | 6 | 1 | no | — |
| 520 | D24 | — | 6 | 1 | no | — |
| 521 | D24 | — | 6 | 1 | no | — |
| 522 | D24 | — | 6 | 1 | no | — |
| 523 | D24 | — | 6 | 1 | no | — |
| 524 | #204 | — | 3 | 1 | no | — |
| 525 | #204 | — | 3 | 1 | no | — |
| 526 | #204 | — | 6 | 1 | no | — |
| 527 | #204 | — | 6 | 1 | no | — |
| 528 | #204 | — | 6 | 2 | no | — |
| 529 | #204 | — | 6 | 1 | no | — |
| 530 | #204 | — | 6 | 1 | no | — |
| 531 | #204 | — | 6 | 1 | no | — |
| 532 | #204 | — | 6 | 1 | no | — |
| 533 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 534 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 535 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 536 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 537 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 538 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 539 | D3×C8 | — | 6 | 1 | no | — |
| 540 | D3×C8 | — | 6 | 1 | no | — |
| 541 | D3×C8 | — | 6 | 1 | no | — |
| 542 | D3×C8 | — | 6 | 1 | no | — |
| 543 | D3×C8 | — | 6 | 2 | no | — |
| 544 | D3×C8 | — | 6 | 1 | no | — |
| 545 | C22×C32 | — | 2 | 1 | no | — |
| 546 | C22×C32 | — | 4 | 1 | no | — |
| 547 | C22×C32 | — | 8 | 1 | no | — |
| 548 | C22×C32 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 549 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 550 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 551 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 552 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 553 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 554 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 555 | C2×C3×D3 | — | 2 | 1 | no | — |
| 556 | C2×C3×D3 | — | 4 | 1 | no | — |
| 557 | C2×C3×D3 | — | 4 | 1 | no | — |
| 558 | C2×C3×D3 | — | 8 | 1 | no | — |
| 559 | C2×C3×D3 | — | 8 | 1 | no | — |
| 560 | C2×C3×D3 | — | 16 | 1 | no | — |
| 561 | D32 | — | 16 | 1 | no | — |
| 562 | C32×C4 | — | 2 | 1 | no | — |
| 563 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 564 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 565 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 566 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 567 | C3×Dic3 | — | 2 | 2 | no | — |
| 568 | C3×Dic3 | — | 2 | 1 | no | — |
| 569 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 570 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 571 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 572 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 573 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 574 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 575 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 576 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 577 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 578 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 579 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 580 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 581 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 582 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 583 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 584 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 585 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 586 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 587 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 588 | AGL(1,ℤ/8) | D32 | 1 | 1 | yes | characteristic, complemented |
| 589 | #135 | — | 9 | 1 | no | — |
| 590 | #135 | — | 9 | 1 | no | — |
| 591 | #135 | — | 18 | 1 | no | — |
| 592 | #135 | — | 18 | 1 | no | — |
| 593 | #135 | — | 18 | 1 | no | — |
| 594 | #135 | — | 18 | 1 | no | — |
| 595 | C2×D8 | — | 3 | 1 | no | — |
| 596 | C2×D8 | — | 9 | 1 | no | — |
| 597 | C2×D8 | — | 9 | 1 | no | — |
| 598 | C2×D8 | — | 9 | 1 | no | — |
| 599 | C2×D8 | — | 18 | 1 | no | — |
| 600 | C2×D8 | — | 18 | 1 | no | — |
| 601 | C2×D8 | — | 18 | 1 | no | — |
| 602 | C2×D8 | — | 18 | 1 | no | — |
| 603 | #131 | — | 3 | 1 | no | — |
| 604 | #131 | — | 9 | 1 | no | — |
| 605 | #131 | — | 9 | 1 | no | — |
| 606 | #131 | — | 9 | 1 | no | — |
| 607 | #127 | — | 3 | 1 | no | — |
| 608 | #127 | — | 9 | 1 | no | — |
| 609 | #108 | — | 3 | 1 | no | — |
| 610 | #108 | — | 9 | 1 | no | — |
| 611 | #104 | — | 3 | 1 | no | — |
| 612 | #104 | — | 3 | 1 | no | — |
| 613 | #104 | — | 9 | 1 | no | — |
| 614 | #104 | — | 9 | 1 | no | — |
| 615 | #100 | — | 3 | 1 | no | — |
| 616 | #100 | — | 3 | 1 | no | — |
| 617 | #100 | — | 3 | 1 | no | — |
| 618 | #100 | — | 9 | 1 | no | — |
| 619 | C4×C8 | — | 9 | 1 | no | — |
| 620 | C23×C3 | — | 2 | 1 | no | — |
| 621 | C23×C3 | — | 2 | 1 | no | — |
| 622 | C23×C3 | — | 4 | 1 | no | — |
| 623 | C23×C3 | — | 6 | 1 | no | — |
| 624 | C23×C3 | — | 6 | 1 | no | — |
| 625 | C23×C3 | — | 12 | 1 | no | — |
| 626 | C22×D3 | — | 2 | 1 | no | — |
| 627 | C22×D3 | — | 2 | 1 | no | — |
| 628 | C22×D3 | — | 4 | 1 | no | — |
| 629 | C22×D3 | — | 6 | 1 | no | — |
| 630 | C22×D3 | — | 6 | 1 | no | — |
| 631 | C22×D3 | — | 12 | 1 | no | — |
| 632 | C22×D3 | — | 12 | 1 | no | — |
| 633 | C22×D3 | — | 12 | 1 | no | — |
| 634 | C22×D3 | — | 12 | 1 | no | — |
| 635 | C22×D3 | — | 12 | 1 | no | — |
| 636 | C22×D3 | — | 12 | 1 | no | — |
| 637 | C22×D3 | — | 12 | 1 | no | — |
| 638 | C22×D3 | — | 12 | 2 | no | — |
| 639 | C22×D3 | — | 12 | 2 | no | — |
| 640 | C3×Q8 | — | 2 | 1 | no | — |
| 641 | C3×Q8 | — | 3 | 1 | no | — |
| 642 | C3×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 643 | C3×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 644 | C3×D4 | — | 2 | 1 | no | — |
| 645 | C3×D4 | — | 2 | 1 | no | — |
| 646 | C3×D4 | — | 2 | 2 | no | — |
| 647 | C3×D4 | — | 2 | 1 | no | — |
| 648 | C3×D4 | — | 2 | 1 | no | — |
| 649 | C3×D4 | — | 2 | 1 | no | — |
| 650 | C3×D4 | — | 2 | 1 | no | — |
| 651 | C3×D4 | — | 2 | 1 | no | — |
| 652 | C3×D4 | — | 3 | 1 | no | — |
| 653 | C3×D4 | — | 4 | 1 | no | — |
| 654 | C3×D4 | — | 4 | 1 | no | — |
| 655 | C3×D4 | — | 6 | 1 | no | — |
| 656 | C3×D4 | — | 6 | 1 | no | — |
| 657 | C3×D4 | — | 6 | 1 | no | — |
| 658 | C3×D4 | — | 6 | 1 | no | — |
| 659 | C3×D4 | — | 6 | 1 | no | — |
| 660 | C3×D4 | — | 12 | 1 | no | — |
| 661 | C3×D4 | — | 12 | 1 | no | — |
| 662 | C3×D4 | — | 24 | 2 | no | — |
| 663 | C3×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 664 | C3×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 665 | C2×C3×C4 | — | 2 | 1 | no | — |
| 666 | C2×C3×C4 | — | 2 | 1 | no | — |
| 667 | C2×C3×C4 | — | 2 | 1 | no | — |
| 668 | C2×C3×C4 | — | 4 | 1 | no | — |
| 669 | C2×C3×C4 | — | 6 | 1 | no | — |
| 670 | C2×C3×C4 | — | 6 | 1 | no | — |
| 671 | C2×C3×C4 | — | 12 | 1 | no | — |
| 672 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 673 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 674 | #67 | — | 2 | 1 | no | — |
| 675 | #67 | — | 4 | 1 | no | — |
| 676 | #67 | — | 6 | 2 | no | — |
| 677 | #67 | — | 6 | 1 | no | — |
| 678 | #67 | — | 6 | 1 | no | — |
| 679 | #67 | — | 6 | 1 | no | — |
| 680 | #67 | — | 6 | 1 | no | — |
| 681 | #67 | — | 8 | 2 | no | — |
| 682 | #67 | — | 12 | 1 | no | — |
| 683 | #67 | — | 12 | 1 | no | — |
| 684 | #67 | — | 12 | 1 | no | — |
| 685 | #67 | — | 12 | 1 | no | — |
| 686 | #67 | — | 12 | 1 | no | — |
| 687 | #67 | — | 12 | 1 | no | — |
| 688 | #67 | — | 12 | 1 | no | — |
| 689 | #67 | — | 12 | 1 | no | — |
| 690 | #67 | — | 12 | 1 | no | — |
| 691 | #67 | — | 12 | 1 | no | — |
| 692 | #67 | — | 12 | 2 | no | — |
| 693 | #67 | — | 12 | 2 | no | — |
| 694 | #67 | — | 12 | 2 | no | — |
| 695 | #67 | — | 24 | 2 | no | — |
| 696 | C2×Dic3 | — | 2 | 1 | no | — |
| 697 | C2×Dic3 | — | 12 | 1 | no | — |
| 698 | C2×Dic3 | — | 12 | 1 | no | — |
| 699 | C2×Dic3 | — | 12 | 1 | no | — |
| 700 | C2×Dic3 | — | 12 | 2 | no | — |
| 701 | D12 | — | 2 | 1 | no | — |
| 702 | D12 | — | 2 | 1 | no | — |
| 703 | D12 | — | 2 | 1 | no | — |
| 704 | D12 | — | 2 | 1 | no | — |
| 705 | D12 | — | 3 | 1 | no | — |
| 706 | D12 | — | 3 | 1 | no | — |
| 707 | D12 | — | 3 | 1 | no | — |
| 708 | D12 | — | 3 | 1 | no | — |
| 709 | D12 | — | 4 | 1 | no | — |
| 710 | D12 | — | 6 | 1 | no | — |
| 711 | D12 | — | 6 | 1 | no | — |
| 712 | D12 | — | 6 | 2 | no | — |
| 713 | D12 | — | 6 | 1 | no | — |
| 714 | D12 | — | 6 | 1 | no | — |
| 715 | D12 | — | 6 | 1 | no | — |
| 716 | D12 | — | 6 | 1 | no | — |
| 717 | D12 | — | 12 | 1 | no | — |
| 718 | D12 | — | 12 | 1 | no | — |
| 719 | D12 | — | 12 | 1 | no | — |
| 720 | D12 | — | 12 | 2 | no | — |
| 721 | D12 | — | 12 | 1 | no | — |
| 722 | D12 | — | 24 | 2 | no | — |
| 723 | D12 | D3×D4 | 1 | 1 | yes | characteristic |
| 724 | C4×D3 | — | 2 | 1 | no | — |
| 725 | C4×D3 | — | 4 | 1 | no | — |
| 726 | C4×D3 | — | 6 | 2 | no | — |
| 727 | C4×D3 | — | 6 | 1 | no | — |
| 728 | C4×D3 | — | 6 | 1 | no | — |
| 729 | C4×D3 | — | 6 | 1 | no | — |
| 730 | C4×D3 | — | 6 | 1 | no | — |
| 731 | C4×D3 | — | 12 | 1 | no | — |
| 732 | C4×D3 | — | 12 | 1 | no | — |
| 733 | C4×D3 | — | 12 | 1 | no | — |
| 734 | C4×D3 | — | 12 | 2 | no | — |
| 735 | C4×D3 | — | 12 | 1 | no | — |
| 736 | Dic6 | — | 3 | 1 | no | — |
| 737 | Dic6 | — | 3 | 1 | no | — |
| 738 | Dic6 | — | 3 | 1 | no | — |
| 739 | Dic6 | — | 3 | 1 | no | — |
| 740 | Dic6 | — | 6 | 1 | no | — |
| 741 | Dic6 | — | 6 | 1 | no | — |
| 742 | Dic6 | D3×D4 | 1 | 1 | yes | characteristic |
| 743 | C3×C8 | — | 2 | 2 | no | — |
| 744 | C3×C8 | — | 2 | 1 | no | — |
| 745 | C3×C8 | — | 2 | 1 | no | — |
| 746 | C3×C8 | — | 3 | 1 | no | — |
| 747 | C3×C8 | — | 3 | 1 | no | — |
| 748 | C3×C8 | — | 6 | 1 | no | — |
| 749 | C3×C8 | — | 6 | 1 | no | — |
| 750 | C3×C8 | — | 6 | 1 | no | — |
| 751 | C3⋊C8 | — | 2 | 1 | no | — |
| 752 | C3⋊C8 | — | 2 | 1 | no | — |
| 753 | C3⋊C8 | — | 2 | 1 | no | — |
| 754 | C3⋊C8 | — | 3 | 1 | no | — |
| 755 | C3⋊C8 | — | 3 | 1 | no | — |
| 756 | C3⋊C8 | — | 3 | 1 | no | — |
| 757 | C3⋊C8 | — | 3 | 1 | no | — |
| 758 | C3⋊C8 | — | 6 | 1 | no | — |
| 759 | C3⋊C8 | — | 6 | 1 | no | — |
| 760 | C3⋊C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 761 | C3⋊C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 762 | C2×C32 | — | 2 | 1 | no | — |
| 763 | C2×C32 | — | 4 | 1 | no | — |
| 764 | C2×C32 | — | 8 | 1 | no | — |
| 765 | C2×C32 | D42 | 1 | 1 | yes | characteristic |
| 766 | C3⋊D3 | — | 4 | 1 | no | — |
| 767 | C3⋊D3 | — | 4 | 1 | no | — |
| 768 | C3⋊D3 | — | 8 | 1 | no | — |
| 769 | C3×D3 | — | 4 | 1 | no | — |
| 770 | C3×D3 | — | 8 | 1 | no | — |
| 771 | C3×D3 | — | 8 | 1 | no | — |
| 772 | #41 | — | 3 | 1 | no | — |
| 773 | #41 | — | 6 | 1 | no | — |
| 774 | #41 | — | 6 | 1 | no | — |
| 775 | #41 | — | 9 | 1 | no | — |
| 776 | #41 | — | 9 | 1 | no | — |
| 777 | #41 | — | 18 | 1 | no | — |
| 778 | #41 | — | 18 | 1 | no | — |
| 779 | #41 | — | 18 | 1 | no | — |
| 780 | #41 | — | 18 | 1 | no | — |
| 781 | #41 | — | 18 | 1 | no | — |
| 782 | #41 | — | 18 | 1 | no | — |
| 783 | #41 | C2×D32 | 1 | 1 | yes | characteristic |
| 784 | C2×D4 | — | 3 | 1 | no | — |
| 785 | C2×D4 | — | 3 | 1 | no | — |
| 786 | C2×D4 | — | 6 | 1 | no | — |
| 787 | C2×D4 | — | 6 | 1 | no | — |
| 788 | C2×D4 | — | 9 | 1 | no | — |
| 789 | C2×D4 | — | 12 | 1 | no | — |
| 790 | C2×D4 | — | 12 | 1 | no | — |
| 791 | C2×D4 | — | 18 | 1 | no | — |
| 792 | C2×D4 | — | 18 | 1 | no | — |
| 793 | C2×D4 | — | 18 | 1 | no | — |
| 794 | C2×D4 | — | 18 | 1 | no | — |
| 795 | C2×D4 | — | 18 | 1 | no | — |
| 796 | C2×D4 | — | 18 | 1 | no | — |
| 797 | C2×D4 | — | 36 | 1 | no | — |
| 798 | C2×D4 | — | 36 | 1 | no | — |
| 799 | C2×D4 | — | 36 | 1 | no | — |
| 800 | C2×D4 | — | 36 | 1 | no | — |
| 801 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 802 | Q16 | — | 9 | 1 | no | — |
| 803 | Q16 | — | 9 | 1 | no | — |
| 804 | SD16 | — | 2 | 1 | no | — |
| 805 | SD16 | — | 6 | 1 | no | — |
| 806 | SD16 | — | 6 | 1 | no | — |
| 807 | SD16 | — | 9 | 1 | no | — |
| 808 | SD16 | — | 9 | 1 | no | — |
| 809 | SD16 | — | 9 | 1 | no | — |
| 810 | SD16 | — | 9 | 1 | no | — |
| 811 | SD16 | — | 18 | 1 | no | — |
| 812 | SD16 | — | 18 | 1 | no | — |
| 813 | SD16 | — | 18 | 1 | no | — |
| 814 | SD16 | — | 18 | 1 | no | — |
| 815 | SD16 | — | 18 | 1 | no | — |
| 816 | D8 | — | 2 | 1 | no | — |
| 817 | D8 | — | 6 | 1 | no | — |
| 818 | D8 | — | 6 | 1 | no | — |
| 819 | D8 | — | 6 | 1 | no | — |
| 820 | D8 | — | 6 | 1 | no | — |
| 821 | D8 | — | 9 | 1 | no | — |
| 822 | D8 | — | 9 | 1 | no | — |
| 823 | D8 | — | 18 | 1 | no | — |
| 824 | D8 | — | 18 | 1 | no | — |
| 825 | D8 | — | 18 | 1 | no | — |
| 826 | D8 | — | 18 | 1 | no | — |
| 827 | D8 | — | 18 | 1 | no | — |
| 828 | D8 | — | 18 | 1 | no | — |
| 829 | D8 | — | 18 | 1 | no | — |
| 830 | D8 | — | 18 | 1 | no | — |
| 831 | D8 | — | 18 | 1 | no | — |
| 832 | D8 | — | 18 | 1 | no | — |
| 833 | D8 | — | 18 | 1 | no | — |
| 834 | M16 | — | 3 | 1 | no | — |
| 835 | M16 | — | 3 | 1 | no | — |
| 836 | M16 | — | 3 | 1 | no | — |
| 837 | M16 | — | 6 | 1 | no | — |
| 838 | M16 | — | 18 | 1 | no | — |
| 839 | M16 | — | 18 | 1 | no | — |
| 840 | M16 | — | 18 | 1 | no | — |
| 841 | M16 | C2×D32 | 1 | 1 | yes | characteristic |
| 842 | C2×C8 | — | 3 | 1 | no | — |
| 843 | C2×C8 | — | 6 | 1 | no | — |
| 844 | C2×C8 | — | 9 | 1 | no | — |
| 845 | C2×C8 | — | 18 | 1 | no | — |
| 846 | C2×C8 | — | 18 | 1 | no | — |
| 847 | C2×C8 | — | 18 | 1 | no | — |
| 848 | C42 | — | 3 | 1 | no | — |
| 849 | C22×C3 | — | 2 | 1 | no | — |
| 850 | C22×C3 | — | 2 | 1 | no | — |
| 851 | C22×C3 | — | 2 | 1 | no | — |
| 852 | C22×C3 | — | 4 | 1 | no | — |
| 853 | C22×C3 | — | 4 | 2 | no | — |
| 854 | C22×C3 | — | 4 | 1 | no | — |
| 855 | C22×C3 | — | 4 | 1 | no | — |
| 856 | C22×C3 | — | 6 | 1 | no | — |
| 857 | C22×C3 | — | 8 | 1 | no | — |
| 858 | C22×C3 | — | 8 | 1 | no | — |
| 859 | C22×C3 | — | 12 | 1 | no | — |
| 860 | C22×C3 | — | 12 | 1 | no | — |
| 861 | C22×C3 | — | 16 | 1 | no | — |
| 862 | C22×C3 | — | 24 | 1 | no | — |
| 863 | C22×C3 | — | 24 | 1 | no | — |
| 864 | C22×C3 | — | 48 | 1 | no | — |
| 865 | C22×C3 | #1004 | 1 | 1 | yes | characteristic |
| 866 | C22×C3 | #1009 | 1 | 1 | yes | characteristic |
| 867 | C2×D3 | — | 2 | 1 | no | — |
| 868 | C2×D3 | — | 4 | 1 | no | — |
| 869 | C2×D3 | — | 4 | 1 | no | — |
| 870 | C2×D3 | — | 6 | 2 | no | — |
| 871 | C2×D3 | — | 6 | 1 | no | — |
| 872 | C2×D3 | — | 6 | 1 | no | — |
| 873 | C2×D3 | — | 6 | 1 | no | — |
| 874 | C2×D3 | — | 6 | 1 | no | — |
| 875 | C2×D3 | — | 8 | 1 | no | — |
| 876 | C2×D3 | — | 8 | 1 | no | — |
| 877 | C2×D3 | — | 12 | 1 | no | — |
| 878 | C2×D3 | — | 12 | 2 | no | — |
| 879 | C2×D3 | — | 12 | 1 | no | — |
| 880 | C2×D3 | — | 12 | 1 | no | — |
| 881 | C2×D3 | — | 16 | 1 | no | — |
| 882 | C2×D3 | — | 24 | 1 | no | — |
| 883 | C2×D3 | — | 24 | 1 | no | — |
| 884 | C2×D3 | — | 48 | 1 | no | — |
| 885 | C2×D3 | — | 48 | 1 | no | — |
| 886 | C2×D3 | — | 48 | 1 | no | — |
| 887 | C2×D3 | — | 48 | 1 | no | — |
| 888 | C2×D3 | — | 48 | 1 | no | — |
| 889 | C2×D3 | — | 48 | 1 | no | — |
| 890 | C2×D3 | — | 48 | 1 | no | — |
| 891 | C2×D3 | — | 48 | 2 | no | — |
| 892 | C2×D3 | — | 48 | 2 | no | — |
| 893 | C3×C4 | — | 2 | 1 | no | — |
| 894 | C3×C4 | — | 2 | 1 | no | — |
| 895 | C3×C4 | — | 2 | 1 | no | — |
| 896 | C3×C4 | — | 2 | 1 | no | — |
| 897 | C3×C4 | — | 4 | 1 | no | — |
| 898 | C3×C4 | — | 6 | 2 | no | — |
| 899 | C3×C4 | — | 6 | 1 | no | — |
| 900 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 901 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 902 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 903 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 904 | Dic3 | — | 2 | 2 | no | — |
| 905 | Dic3 | — | 2 | 1 | no | — |
| 906 | Dic3 | — | 6 | 2 | no | — |
| 907 | Dic3 | — | 6 | 1 | no | — |
| 908 | Dic3 | — | 6 | 1 | no | — |
| 909 | Dic3 | — | 6 | 1 | no | — |
| 910 | Dic3 | — | 6 | 1 | no | — |
| 911 | Dic3 | — | 12 | 1 | no | — |
| 912 | C32 | #3292 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 913 | C23 | — | 2 | 1 | no | — |
| 914 | C23 | — | 6 | 1 | no | — |
| 915 | C23 | — | 6 | 1 | no | — |
| 916 | C23 | — | 12 | 1 | no | — |
| 917 | C23 | — | 18 | 1 | no | — |
| 918 | C23 | — | 36 | 1 | no | — |
| 919 | C23 | — | 36 | 1 | no | — |
| 920 | C23 | — | 36 | 1 | no | — |
| 921 | Q8 | — | 3 | 1 | no | — |
| 922 | Q8 | — | 9 | 1 | no | — |
| 923 | Q8 | — | 9 | 1 | no | — |
| 924 | Q8 | #3811 | 1 | 1 | yes | characteristic |
| 925 | D4 | — | 2 | 1 | no | — |
| 926 | D4 | — | 2 | 1 | no | — |
| 927 | D4 | — | 2 | 1 | no | — |
| 928 | D4 | — | 3 | 1 | no | — |
| 929 | D4 | — | 6 | 1 | no | — |
| 930 | D4 | — | 6 | 1 | no | — |
| 931 | D4 | — | 6 | 1 | no | — |
| 932 | D4 | — | 6 | 1 | no | — |
| 933 | D4 | — | 6 | 1 | no | — |
| 934 | D4 | — | 9 | 1 | no | — |
| 935 | D4 | — | 9 | 1 | no | — |
| 936 | D4 | — | 12 | 1 | no | — |
| 937 | D4 | — | 12 | 1 | no | — |
| 938 | D4 | — | 18 | 1 | no | — |
| 939 | D4 | — | 18 | 1 | no | — |
| 940 | D4 | — | 18 | 1 | no | — |
| 941 | D4 | — | 18 | 1 | no | — |
| 942 | D4 | — | 24 | 2 | no | — |
| 943 | D4 | — | 36 | 1 | no | — |
| 944 | D4 | — | 36 | 1 | no | — |
| 945 | D4 | — | 36 | 1 | no | — |
| 946 | D4 | — | 36 | 1 | no | — |
| 947 | D4 | — | 36 | 1 | no | — |
| 948 | D4 | — | 36 | 1 | no | — |
| 949 | D4 | — | 72 | 2 | no | — |
| 950 | D4 | #3811 | 1 | 1 | yes | characteristic |
| 951 | C2×C4 | — | 2 | 1 | no | — |
| 952 | C2×C4 | — | 6 | 1 | no | — |
| 953 | C2×C4 | — | 6 | 1 | no | — |
| 954 | C2×C4 | — | 12 | 1 | no | — |
| 955 | C2×C4 | — | 18 | 1 | no | — |
| 956 | C2×C4 | — | 18 | 1 | no | — |
| 957 | C2×C4 | — | 36 | 1 | no | — |
| 958 | C2×C4 | — | 36 | 1 | no | — |
| 959 | C2×C4 | — | 36 | 1 | no | — |
| 960 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 961 | C8 | — | 2 | 1 | no | — |
| 962 | C8 | — | 3 | 1 | no | — |
| 963 | C8 | — | 3 | 1 | no | — |
| 964 | C8 | — | 6 | 1 | no | — |
| 965 | C8 | — | 6 | 1 | no | — |
| 966 | C8 | — | 6 | 1 | no | — |
| 967 | C8 | — | 9 | 1 | no | — |
| 968 | C8 | — | 9 | 1 | no | — |
| 969 | C2×C3 | — | 2 | 1 | no | — |
| 970 | C2×C3 | — | 2 | 1 | no | — |
| 971 | C2×C3 | — | 2 | 1 | no | — |
| 972 | C2×C3 | — | 4 | 1 | no | — |
| 973 | C2×C3 | — | 4 | 1 | no | — |
| 974 | C2×C3 | — | 4 | 1 | no | — |
| 975 | C2×C3 | — | 8 | 1 | no | — |
| 976 | C2×C3 | — | 8 | 2 | no | — |
| 977 | C2×C3 | — | 8 | 1 | no | — |
| 978 | C2×C3 | — | 8 | 1 | no | — |
| 979 | C2×C3 | — | 12 | 1 | no | — |
| 980 | C2×C3 | — | 24 | 1 | no | — |
| 981 | C2×C3 | — | 24 | 1 | no | — |
| 982 | C2×C3 | #5590 | 1 | 1 | yes | characteristic |
| 983 | C2×C3 | #5609 | 1 | 1 | yes | characteristic |
| 984 | D3 | — | 4 | 1 | no | — |
| 985 | D3 | — | 8 | 1 | no | — |
| 986 | D3 | — | 8 | 1 | no | — |
| 987 | D3 | — | 12 | 2 | no | — |
| 988 | D3 | — | 12 | 1 | no | — |
| 989 | D3 | — | 12 | 1 | no | — |
| 990 | D3 | — | 12 | 1 | no | — |
| 991 | D3 | — | 12 | 1 | no | — |
| 992 | D3 | — | 24 | 1 | no | — |
| 993 | D3 | — | 24 | 2 | no | — |
| 994 | D3 | — | 24 | 1 | no | — |
| 995 | D3 | — | 24 | 1 | no | — |
| 996 | C22 | — | 2 | 1 | no | — |
| 997 | C22 | — | 4 | 1 | no | — |
| 998 | C22 | — | 6 | 1 | no | — |
| 999 | C22 | — | 8 | 1 | no | — |
| 1000 | C22 | — | 12 | 1 | no | — |
| 1001 | C22 | — | 12 | 1 | no | — |
| 1002 | C22 | — | 18 | 1 | no | — |
| 1003 | C22 | — | 18 | 1 | no | — |
| 1004 | C22 | — | 24 | 1 | no | — |
| 1005 | C22 | — | 24 | 1 | no | — |
| 1006 | C22 | — | 36 | 1 | no | — |
| 1007 | C22 | — | 48 | 1 | no | — |
| 1008 | C22 | — | 72 | 1 | no | — |
| 1009 | C22 | — | 144 | 1 | no | — |
| 1010 | C22 | — | 144 | 1 | no | — |
| 1011 | C22 | — | 144 | 1 | no | — |
| 1012 | C22 | #64314 | 1 | 1 | yes | characteristic |
| 1013 | C4 | — | 2 | 1 | no | — |
| 1014 | C4 | — | 6 | 2 | no | — |
| 1015 | C4 | — | 6 | 1 | no | — |
| 1016 | C4 | — | 18 | 1 | no | — |
| 1017 | C4 | — | 18 | 1 | no | — |
| 1018 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 1019 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 1020 | C3 | — | 2 | 1 | no | — |
| 1021 | C3 | #80282 | 1 | 1 | yes | characteristic, complemented |
| 1022 | C3 | #80941 | 1 | 1 | yes | characteristic, complemented |
| 1023 | C2 | — | 2 | 1 | no | — |
| 1024 | C2 | — | 4 | 1 | no | — |
| 1025 | C2 | — | 8 | 1 | no | — |
| 1026 | C2 | — | 12 | 1 | no | — |
| 1027 | C2 | — | 24 | 1 | no | — |
| 1028 | C2 | — | 24 | 1 | no | — |
| 1029 | C2 | — | 36 | 1 | no | — |
| 1030 | C2 | — | 36 | 1 | no | — |
| 1031 | C2 | — | 72 | 1 | no | — |
| 1032 | C2 | #10595292 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596245 | C2 | semidirect |
| 2. #10595454 | C2 | semidirect |
| 3. #10595449 | C2 | semidirect |
| 4. #10595102 | C2 | semidirect |
| 5. C3×#5199 | C2 | semidirect |
| 6. C3×#5198 | C2 | semidirect |
| 7. #10591667 | C2 | semidirect |
| 8. #10591662 | C2 | semidirect |
| 9. #10591511 | C2 | semidirect |
| 10. #10591508 | C2 | semidirect |
| 11. #10591482 | C2 | semidirect |
| 12. #10591015 | C2 | semidirect |
| 13. #10590988 | C2 | semidirect |
| 14. #10590987 | C2 | semidirect |
| 15. #10590977 | C2 | semidirect |
| 18. #64366 | C22 | semidirect |
| 19. #64361 | C22 | semidirect |
| 20. C3×#1009 | C22 | semidirect |
| 21. #64307 | C22 | semidirect |
| 22. C32×AGL(1,ℤ/8) | C22 | semidirect |
| 24. C2×#3753 | C22 | semidirect |
| 29. #64117 | C22 | semidirect |
| 30. #64116 | C22 | semidirect |
| 31. C3×#949 | C22 | semidirect |
| 32. C3×#948 | C22 | semidirect |
| 33. C3×#940 | C22 | semidirect |
| 34. C3×#932 | C22 | semidirect |
| 35. C2×C3×#213 | C22 | semidirect |
| 44. #63911 | C22 | semidirect |
| 46. #63830 | C22 | semidirect |
| 47. #63830 | C22 | semidirect |
| 48. #63830 | C22 | semidirect |
| 52. #63825 | C22 | semidirect |
| 54. C2×#3714 | C22 | semidirect |
| 55. C2×#3713 | C22 | semidirect |
| 56. #63817 | C22 | semidirect |
| 57. #63815 | C22 | semidirect |
| 58. C3×#837 | C22 | semidirect |
| 59. C3×#833 | C22 | semidirect |
| 60. C3×#825 | C22 | semidirect |
| 61. C3×#823 | C22 | semidirect |
| 62. C3×#823 | C22 | semidirect |
| 63. C3×#822 | C22 | semidirect |
| 64. #63578 | C22 | semidirect |
| 65. #63570 | C22 | semidirect |
| 66. #63570 | C22 | semidirect |
| 67. #63559 | C22 | semidirect |
| 68. Dic3×C3⋊C8 | C22 | semidirect |
| 81. #5199 | D3 | semidirect |
| 83. #5198 | D3 | semidirect |
| 133. #3756 | D4 | semidirect |
| 134. #3755 | D4 | semidirect |
| 135. #3754 | D4 | semidirect |
| 138. #3753 | D4 | semidirect |
| 157. #3719 | D4 | semidirect |
| 159. #3717 | D4 | semidirect |
| 163. #3716 | D4 | semidirect |
| 170. #3714 | D4 | semidirect |
| 183. #1009 | C2×D3 | semidirect |
| 191. C3×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 192. C3×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 205. #949 | C2×D3 | semidirect |
| 207. #948 | C2×D3 | semidirect |
| 209. #940 | C2×D3 | semidirect |
| 215. #932 | C2×D3 | semidirect |
| 224. C2×#213 | C2×D3 | semidirect |
| 275. #837 | C2×D3 | semidirect |
| 276. #833 | C2×D3 | semidirect |
| 279. #825 | C2×D3 | semidirect |
| 282. #823 | C2×D3 | semidirect |
| 283. #823 | C2×D3 | semidirect |
| 286. #822 | C2×D3 | semidirect |
| 588. AGL(1,ℤ/8) | D32 | semidirect |
| 912. C32 | #3292 | semidirect |
| 1021. C3 | #80282 | semidirect |
| 1022. C3 | #80941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596245 | 2 |
| #10595454 | 2 |
| #10595449 | 2 |
| #10595102 | 2 |
| C3×#5199 | 2 |
| C3×#5198 | 2 |
| #10591667 | 2 |
| #10591662 | 2 |
| #10591511 | 2 |
| #10591508 | 2 |
| #10591482 | 2 |
| #10591015 | 2 |
| #10590988 | 2 |
| #10590987 | 2 |
| #10590977 | 2 |
| #80941 | 3 |
| #80282 | 3 |