Finite Group DatabasebetaFinite Group DatabasebetaOrder 4032.
3828 conjugacy classes of subgroups.
The subgroup lattice has 1302 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72246722 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C3×#10621596 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72246706 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72246694 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72246682 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #72246645 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | C7×#64330 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | D3×#66694 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #72246580 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | C2×#11759626 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #72245765 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×#11759581 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | D7×#3811 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #13062244 | — | 3 | 2 | no | maximal |
| 15 | C23×C3⋊D21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C22×D3×D21 | C22 | 1 | 2 | yes | complemented |
| 17 | C22×D7×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×D32×D7 | C22 | 1 | 2 | yes | complemented |
| 19 | C2×C7×#638 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×C3×#4268 | C22 | 1 | 2 | yes | complemented |
| 21 | C2×C3×C7×#67 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×C32×C22⋊D7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #11759644 | C22 | 1 | 2 | yes | complemented |
| 24 | #11759643 | C22 | 1 | 4 | yes | complemented |
| 25 | #11759638 | C22 | 1 | 4 | yes | complemented |
| 26 | #11759637 | C22 | 1 | 2 | yes | complemented |
| 27 | #11759626 | C22 | 1 | 4 | yes | complemented |
| 28 | #11759626 | C22 | 1 | 4 | yes | complemented |
| 29 | #11759626 | C22 | 1 | 4 | yes | complemented |
| 30 | #11759626 | C22 | 1 | 4 | yes | complemented |
| 31 | C2×#92690 | C22 | 1 | 2 | yes | complemented |
| 32 | C2×#92689 | C22 | 1 | 2 | yes | complemented |
| 33 | C2×#92687 | C22 | 1 | 2 | yes | complemented |
| 34 | C7×#3811 | C22 | 1 | 2 | yes | complemented |
| 35 | D3×C7×#67 | C22 | 1 | 4 | yes | complemented |
| 36 | C7×#3805 | C22 | 1 | 2 | yes | complemented |
| 37 | C7×#3804 | C22 | 1 | 4 | yes | complemented |
| 38 | #11759581 | C22 | 1 | 4 | yes | complemented |
| 39 | #11759581 | C22 | 1 | 4 | yes | complemented |
| 40 | C2×#92678 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×#92677 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#92675 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C3×#66694 | C22 | 1 | 4 | yes | complemented |
| 44 | C3×D3×C22⋊D7 | C22 | 1 | 4 | yes | complemented |
| 45 | C3×D7×#67 | C22 | 1 | 4 | yes | complemented |
| 46 | C3×#66686 | C22 | 1 | 4 | yes | complemented |
| 47 | C3×#66684 | C22 | 1 | 4 | yes | complemented |
| 48 | C3×#66683 | C22 | 1 | 4 | yes | complemented |
| 49 | #11759452 | C22 | 1 | 4 | yes | complemented |
| 50 | #11759451 | C22 | 1 | 4 | yes | complemented |
| 51 | #11759449 | C22 | 1 | 2 | yes | complemented |
| 52 | #11759448 | C22 | 1 | 4 | yes | complemented |
| 53 | #11759445 | C22 | 1 | 2 | yes | complemented |
| 54 | #11759441 | C22 | 1 | 4 | yes | complemented |
| 55 | #11759438 | C22 | 1 | 4 | yes | complemented |
| 56 | #11759437 | C22 | 1 | 2 | yes | complemented |
| 57 | #11759432 | C22 | 1 | 2 | yes | complemented |
| 58 | #11759430 | C22 | 1 | 4 | yes | complemented |
| 59 | D3×#4247 | C22 | 1 | 4 | yes | complemented |
| 60 | #11759428 | C22 | 1 | 2 | yes | complemented |
| 61 | #11759427 | C22 | 1 | 4 | yes | complemented |
| 62 | #11759426 | C22 | 1 | 2 | yes | complemented |
| 63 | #11759424 | C22 | 1 | 4 | yes | complemented |
| 64 | D3×#4246 | C22 | 1 | 4 | yes | complemented |
| 65 | D7×#626 | C22 | 1 | 4 | yes | complemented |
| 66 | D3×D21⋊C4 | C22 | 1 | 4 | yes | complemented |
| 67 | D7×#624 | C22 | 1 | 2 | yes | complemented |
| 68 | C2×D4×D21 | — | 3 | 2 | no | — |
| 69 | C7×#1004 | — | 3 | 2 | no | — |
| 70 | C3×#6548 | — | 3 | 2 | no | — |
| 71 | #10621596 | — | 3 | 2 | no | — |
| 72 | #10621596 | — | 3 | 4 | no | — |
| 73 | #10621596 | D3 | 1 | 2 | yes | complemented |
| 74 | C2×#66694 | — | 3 | 2 | no | — |
| 75 | C2×#66694 | — | 3 | 2 | no | — |
| 76 | C2×#66694 | — | 3 | 4 | no | — |
| 77 | C2×#66694 | — | 6 | 1 | no | — |
| 78 | #10621574 | — | 3 | 4 | no | — |
| 79 | #10621574 | — | 3 | 4 | no | — |
| 80 | #10621573 | — | 3 | 4 | no | — |
| 81 | #10621573 | — | 3 | 4 | no | — |
| 82 | #10621571 | — | 3 | 4 | no | — |
| 83 | #10621571 | — | 3 | 4 | no | — |
| 84 | D3×D4×D7 | — | 3 | 4 | no | — |
| 85 | D3×D4×D7 | — | 3 | 4 | no | — |
| 86 | #10621566 | — | 3 | 4 | no | — |
| 87 | #10621563 | — | 3 | 4 | no | — |
| 88 | #10596675 | — | 7 | 1 | no | maximal, Hall |
| 89 | C23×C32×C7 | C23 | 1 | 1 | yes | characteristic, complemented |
| 90 | C22×C3⋊D21 | — | 4 | 2 | no | — |
| 91 | C22×C3⋊D21 | C23 | 1 | 2 | yes | — |
| 92 | C22×C3⋊D21 | C23 | 1 | 1 | yes | characteristic |
| 93 | C22×C3⋊D21 | C23 | 1 | 2 | yes | complemented |
| 94 | C22×C3⋊D21 | C23 | 1 | 1 | yes | characteristic, complemented |
| 95 | C22×C7×C3⋊D3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 96 | C22×C3×D21 | C23 | 1 | 2 | yes | complemented |
| 97 | C22×C3×D3×C7 | C23 | 1 | 2 | yes | complemented |
| 98 | C22×C32×D7 | C23 | 1 | 1 | yes | characteristic, complemented |
| 99 | C2×(C3⋊D3)⋊D7 | C23 | 1 | 2 | yes | complemented |
| 100 | C2×D3×D21 | — | 4 | 4 | no | — |
| 101 | C2×D3×D21 | C23 | 1 | 4 | yes | — |
| 102 | C2×D3×D21 | C23 | 1 | 4 | yes | complemented |
| 103 | C2×D32×C7 | C23 | 1 | 2 | yes | complemented |
| 104 | C2×D7×C3⋊D3 | — | 4 | 2 | no | — |
| 105 | C2×D7×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 106 | C2×D7×C3⋊D3 | C23 | 1 | 2 | yes | complemented |
| 107 | C2×C3×D3×D7 | C23 | 1 | 4 | yes | complemented |
| 108 | D32×D7 | — | 4 | 4 | no | — |
| 109 | C7×#638 | C23 | 1 | 4 | yes | complemented |
| 110 | C2×C7×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 111 | C3×#4268 | C23 | 1 | 4 | yes | complemented |
| 112 | C3×#4268 | C23 | 1 | 4 | yes | complemented |
| 113 | C2×C3×Dic21 | C23 | 1 | 2 | yes | complemented |
| 114 | C3×C7×#67 | C23 | 1 | 4 | yes | complemented |
| 115 | C3×C7×#67 | C23 | 1 | 4 | yes | complemented |
| 116 | C2×C3×C7×Dic3 | C23 | 1 | 2 | yes | complemented |
| 117 | C32×C22⋊D7 | C23 | 1 | 4 | yes | complemented |
| 118 | C2×C32×Dic7 | C23 | 1 | 1 | yes | characteristic, complemented |
| 119 | #92696 | C23 | 1 | 2 | yes | complemented |
| 120 | #92695 | C23 | 1 | 2 | yes | complemented |
| 121 | #92694 | C23 | 1 | 4 | yes | complemented |
| 122 | #92693 | C23 | 1 | 2 | yes | complemented |
| 123 | D21⋊Dic3 | C23 | 1 | 4 | yes | complemented |
| 124 | #92690 | C23 | 1 | 4 | yes | complemented |
| 125 | #92690 | C23 | 1 | 4 | yes | complemented |
| 126 | #92689 | C23 | 1 | 4 | yes | complemented |
| 127 | #92689 | C23 | 1 | 4 | yes | complemented |
| 128 | #92687 | C23 | 1 | 4 | yes | — |
| 129 | #92687 | C23 | 1 | 4 | yes | complemented |
| 130 | C7×#627 | C23 | 1 | 2 | yes | complemented |
| 131 | C7×#626 | C23 | 1 | 4 | yes | complemented |
| 132 | C7×#625 | C23 | 1 | 2 | yes | complemented |
| 133 | C7×#624 | C23 | 1 | 2 | yes | complemented |
| 134 | D3×C7×Dic3 | C23 | 1 | 4 | yes | complemented |
| 135 | #92678 | C23 | 1 | 4 | yes | complemented |
| 136 | #92677 | C23 | 1 | 4 | yes | complemented |
| 137 | #92675 | C23 | 1 | 2 | yes | — |
| 138 | #92675 | C23 | 1 | 2 | yes | complemented |
| 139 | C3×#4248 | C23 | 1 | 4 | yes | complemented |
| 140 | C3×#4247 | C23 | 1 | 4 | yes | complemented |
| 141 | C3×#4246 | C23 | 1 | 4 | yes | complemented |
| 142 | C3×#4245 | C23 | 1 | 4 | yes | complemented |
| 143 | C3×D21⋊C4 | C23 | 1 | 4 | yes | complemented |
| 144 | C3×D3×Dic7 | C23 | 1 | 4 | yes | complemented |
| 145 | C3×Dic3×D7 | C23 | 1 | 4 | yes | complemented |
| 146 | D7×H(5,𝔽2) | — | 9 | 1 | no | Hall |
| 147 | C23×D21 | — | 3 | 2 | no | — |
| 148 | C23×D21 | — | 3 | 2 | no | — |
| 149 | C23×D21 | — | 6 | 1 | no | — |
| 150 | C22×D3×D7 | — | 3 | 2 | no | — |
| 151 | C22×D3×D7 | — | 3 | 2 | no | — |
| 152 | C22×D3×D7 | — | 3 | 4 | no | — |
| 153 | C22×D3×D7 | — | 6 | 1 | no | — |
| 154 | C2×C3×C7×D4 | — | 3 | 2 | no | — |
| 155 | C2×#4268 | — | 3 | 2 | no | — |
| 156 | C2×#4268 | C2×D3 | 1 | 2 | yes | complemented |
| 157 | D4×D21 | — | 3 | 4 | no | — |
| 158 | D4×D21 | — | 3 | 4 | no | — |
| 159 | D4×D21 | — | 3 | 4 | no | — |
| 160 | D4×D21 | — | 3 | 4 | no | — |
| 161 | C2×D84 | — | 3 | 2 | no | — |
| 162 | C2×C4×D21 | — | 3 | 2 | no | — |
| 163 | C2×C7×#67 | — | 3 | 2 | no | — |
| 164 | C2×C7×#67 | — | 3 | 4 | no | — |
| 165 | C2×C7×#67 | — | 6 | 1 | no | — |
| 166 | C2×C7×#67 | C2×D3 | 1 | 2 | yes | complemented |
| 167 | C7×#237 | — | 3 | 4 | no | — |
| 168 | C7×#237 | — | 3 | 4 | no | — |
| 169 | D3×C7×D4 | — | 3 | 4 | no | — |
| 170 | D3×C7×D4 | — | 3 | 4 | no | — |
| 171 | C7×#235 | — | 3 | 4 | no | — |
| 172 | C2×C3×C22⋊D7 | — | 2 | 1 | no | — |
| 173 | C2×C3×C22⋊D7 | — | 3 | 2 | no | — |
| 174 | C2×C3×C22⋊D7 | — | 3 | 4 | no | — |
| 175 | C2×C3×C22⋊D7 | C2×D3 | 1 | 2 | yes | complemented |
| 176 | C3×#1159 | — | 3 | 4 | no | — |
| 177 | C3×#1159 | — | 3 | 4 | no | — |
| 178 | C3×D4×D7 | — | 3 | 4 | no | — |
| 179 | C3×D4×D7 | — | 3 | 4 | no | — |
| 180 | C3×#1157 | — | 3 | 4 | no | — |
| 181 | #66694 | — | 3 | 4 | no | — |
| 182 | #66694 | — | 3 | 4 | no | — |
| 183 | #66694 | — | 3 | 4 | no | — |
| 184 | #66694 | — | 3 | 4 | no | — |
| 185 | #66694 | — | 3 | 4 | no | — |
| 186 | #66694 | — | 3 | 4 | no | — |
| 187 | #66694 | — | 3 | 4 | no | — |
| 188 | #66694 | — | 3 | 4 | no | — |
| 189 | #66694 | — | 3 | 4 | no | — |
| 190 | #66694 | — | 3 | 4 | no | — |
| 191 | #66694 | — | 3 | 4 | no | — |
| 192 | #66694 | — | 3 | 4 | no | — |
| 193 | #66694 | — | 3 | 4 | no | — |
| 194 | #66694 | — | 6 | 4 | no | — |
| 195 | #66694 | — | 6 | 4 | no | — |
| 196 | #66694 | C2×D3 | 1 | 4 | yes | complemented |
| 197 | D3×C22⋊D7 | — | 3 | 4 | no | — |
| 198 | D3×C22⋊D7 | — | 3 | 4 | no | — |
| 199 | D3×C22⋊D7 | — | 3 | 4 | no | — |
| 200 | D3×C22⋊D7 | C2×D3 | 1 | 4 | yes | complemented |
| 201 | D7×#67 | — | 3 | 4 | no | — |
| 202 | D7×#67 | — | 3 | 4 | no | — |
| 203 | D7×#67 | — | 3 | 4 | no | — |
| 204 | D7×#67 | C2×D3 | 1 | 4 | yes | complemented |
| 205 | C2×#4247 | — | 3 | 2 | no | — |
| 206 | C2×#4247 | — | 3 | 2 | no | — |
| 207 | C2×#4247 | — | 3 | 4 | no | — |
| 208 | C2×#4247 | — | 6 | 1 | no | — |
| 209 | C2×#4246 | — | 3 | 2 | no | — |
| 210 | C2×#4246 | — | 3 | 2 | no | — |
| 211 | C2×#4246 | — | 3 | 4 | no | — |
| 212 | C2×#4246 | — | 6 | 1 | no | — |
| 213 | C2×D21⋊C4 | — | 3 | 2 | no | — |
| 214 | C2×D21⋊C4 | — | 3 | 2 | no | — |
| 215 | C2×D21⋊C4 | — | 3 | 4 | no | — |
| 216 | C2×D21⋊C4 | — | 6 | 1 | no | — |
| 217 | #66686 | — | 3 | 4 | no | — |
| 218 | #66686 | — | 3 | 4 | no | — |
| 219 | #66686 | — | 3 | 4 | no | — |
| 220 | #66686 | C2×D3 | 1 | 4 | yes | complemented |
| 221 | #66684 | — | 3 | 4 | no | — |
| 222 | #66684 | C2×D3 | 1 | 4 | yes | complemented |
| 223 | #66683 | — | 3 | 4 | no | — |
| 224 | #66683 | — | 3 | 4 | no | — |
| 225 | #66683 | — | 3 | 4 | no | — |
| 226 | #66683 | C2×D3 | 1 | 4 | yes | complemented |
| 227 | #66681 | — | 3 | 4 | no | — |
| 228 | D3×D28 | — | 3 | 4 | no | — |
| 229 | D3×D28 | — | 3 | 4 | no | — |
| 230 | D7×D12 | — | 3 | 4 | no | — |
| 231 | D7×D12 | — | 3 | 4 | no | — |
| 232 | C4×D3×D7 | — | 3 | 4 | no | — |
| 233 | C4×D3×D7 | — | 3 | 4 | no | — |
| 234 | #66677 | — | 3 | 4 | no | — |
| 235 | #66677 | — | 3 | 4 | no | — |
| 236 | #66675 | — | 3 | 4 | no | — |
| 237 | #66675 | — | 3 | 4 | no | — |
| 238 | D21⋊Q8 | — | 3 | 4 | no | — |
| 239 | #66673 | — | 3 | 4 | no | — |
| 240 | #66673 | — | 3 | 4 | no | — |
| 241 | #66672 | — | 3 | 4 | no | — |
| 242 | #66670 | — | 3 | 4 | no | — |
| 243 | C2×D4×C3⋊D3 | — | 7 | 1 | no | — |
| 244 | C3×#1004 | — | 7 | 2 | no | — |
| 245 | #64330 | — | 7 | 1 | no | — |
| 246 | #64330 | — | 7 | 2 | no | — |
| 247 | #64330 | D7 | 1 | 1 | yes | characteristic, complemented |
| 248 | C2×#3811 | — | 7 | 2 | no | — |
| 249 | C2×#3811 | — | 7 | 2 | no | — |
| 250 | #64314 | — | 7 | 4 | no | — |
| 251 | #64314 | — | 7 | 4 | no | — |
| 252 | #64312 | — | 7 | 4 | no | — |
| 253 | D32×D4 | — | 7 | 4 | no | — |
| 254 | #64308 | — | 7 | 2 | no | — |
| 255 | #64306 | — | 7 | 2 | no | — |
| 256 | C22×C32×C7 | — | 4 | 1 | no | — |
| 257 | C22×C32×C7 | C24 | 1 | 1 | yes | characteristic |
| 258 | C22×C32×C7 | C24 | 1 | 2 | yes | — |
| 259 | C2×C3⋊D21 | — | 2 | 2 | no | — |
| 260 | C2×C3⋊D21 | — | 2 | 4 | no | — |
| 261 | C2×C3⋊D21 | — | 4 | 2 | no | — |
| 262 | C2×C3⋊D21 | — | 4 | 1 | no | — |
| 263 | C2×C3⋊D21 | C24 | 1 | 1 | yes | characteristic |
| 264 | C2×C3⋊D21 | C24 | 1 | 2 | yes | — |
| 265 | C2×C3⋊D21 | C24 | 1 | 1 | yes | characteristic |
| 266 | C2×C7×C3⋊D3 | — | 4 | 1 | no | — |
| 267 | C2×C7×C3⋊D3 | C24 | 1 | 2 | yes | — |
| 268 | C2×C3×D21 | — | 4 | 2 | no | — |
| 269 | C2×C3×D21 | C24 | 1 | 4 | yes | — |
| 270 | C2×C3×D3×C7 | — | 4 | 2 | no | — |
| 271 | C2×C3×D3×C7 | C24 | 1 | 4 | yes | — |
| 272 | C2×C32×D7 | — | 4 | 1 | no | — |
| 273 | C2×C32×D7 | C24 | 1 | 2 | yes | — |
| 274 | (C3⋊D3)⋊D7 | — | 4 | 2 | no | — |
| 275 | D3×D21 | — | 2 | 8 | no | — |
| 276 | D3×D21 | — | 4 | 4 | no | — |
| 277 | D32×C7 | — | 4 | 2 | no | — |
| 278 | D7×C3⋊D3 | — | 2 | 4 | no | — |
| 279 | D7×C3⋊D3 | — | 4 | 2 | no | — |
| 280 | C3×D3×D7 | — | 4 | 4 | no | — |
| 281 | C7×C3⋊Dic3 | C24 | 1 | 2 | yes | — |
| 282 | C3×Dic21 | C24 | 1 | 4 | yes | — |
| 283 | C3×C7×Dic3 | C24 | 1 | 4 | yes | — |
| 284 | C32×Dic7 | C24 | 1 | 2 | yes | — |
| 285 | C7×H(5,𝔽2) | — | 9 | 1 | no | — |
| 286 | #6553 | — | 9 | 4 | no | — |
| 287 | #6553 | — | 9 | 2 | no | — |
| 288 | D7×#41 | — | 9 | 4 | no | — |
| 289 | D7×#41 | — | 9 | 2 | no | — |
| 290 | #6548 | — | 3 | 2 | no | — |
| 291 | #6548 | — | 9 | 2 | no | — |
| 292 | #6548 | — | 9 | 4 | no | — |
| 293 | #6548 | — | 9 | 1 | no | — |
| 294 | C2×D4×D7 | — | 9 | 2 | no | — |
| 295 | C2×D4×D7 | — | 9 | 4 | no | — |
| 296 | C2×D4×D7 | — | 9 | 2 | no | — |
| 297 | C2×D4×D7 | — | 9 | 1 | no | — |
| 298 | D3×H(5,𝔽2) | — | 21 | 2 | no | — |
| 299 | C23×C3×C7 | — | 2 | 1 | no | — |
| 300 | C23×C3×C7 | — | 3 | 2 | no | — |
| 301 | C23×C3×C7 | C22×D3 | 1 | 2 | yes | complemented |
| 302 | C22×D21 | — | 3 | 2 | no | — |
| 303 | C22×D21 | — | 3 | 2 | no | — |
| 304 | C22×D21 | — | 3 | 2 | no | — |
| 305 | C22×D21 | — | 3 | 2 | no | — |
| 306 | C22×D21 | — | 3 | 2 | no | — |
| 307 | C22×D21 | — | 3 | 2 | no | — |
| 308 | C22×D21 | — | 3 | 4 | no | — |
| 309 | C22×D21 | — | 3 | 4 | no | — |
| 310 | C22×D21 | — | 6 | 1 | no | — |
| 311 | C22×D21 | — | 6 | 2 | no | — |
| 312 | C22×D21 | — | 6 | 1 | no | — |
| 313 | C22×D21 | — | 6 | 2 | no | — |
| 314 | C22×D21 | — | 12 | 4 | no | — |
| 315 | C22×D21 | — | 12 | 4 | no | — |
| 316 | C22×D21 | — | 12 | 2 | no | — |
| 317 | C22×D21 | — | 12 | 2 | no | — |
| 318 | C22×D21 | C22×D3 | 1 | 2 | yes | complemented |
| 319 | C22×D3×C7 | — | 3 | 2 | no | — |
| 320 | C22×D3×C7 | — | 3 | 4 | no | — |
| 321 | C22×D3×C7 | — | 6 | 1 | no | — |
| 322 | C22×D3×C7 | C22×D3 | 1 | 2 | yes | complemented |
| 323 | C22×C3×D7 | — | 2 | 1 | no | — |
| 324 | C22×C3×D7 | — | 3 | 2 | no | — |
| 325 | C22×C3×D7 | — | 3 | 4 | no | — |
| 326 | C22×C3×D7 | C22×D3 | 1 | 2 | yes | complemented |
| 327 | C2×D3×D7 | — | 3 | 4 | no | — |
| 328 | C2×D3×D7 | — | 3 | 4 | no | — |
| 329 | C2×D3×D7 | — | 3 | 4 | no | — |
| 330 | C2×D3×D7 | — | 3 | 4 | no | — |
| 331 | C2×D3×D7 | — | 3 | 4 | no | — |
| 332 | C2×D3×D7 | — | 6 | 2 | no | — |
| 333 | C2×D3×D7 | — | 6 | 2 | no | — |
| 334 | C2×D3×D7 | — | 12 | 8 | no | — |
| 335 | C2×D3×D7 | — | 12 | 4 | no | — |
| 336 | C2×D3×D7 | — | 12 | 4 | no | — |
| 337 | C2×D3×D7 | — | 12 | 2 | no | — |
| 338 | C2×D3×D7 | — | 12 | 2 | no | — |
| 339 | C2×D3×D7 | C22×D3 | 1 | 4 | yes | complemented |
| 340 | C3×C7×D4 | — | 3 | 4 | no | — |
| 341 | C3×C7×D4 | — | 3 | 4 | no | — |
| 342 | C2×C3×C4×C7 | — | 3 | 2 | no | — |
| 343 | #4268 | — | 3 | 4 | no | — |
| 344 | #4268 | — | 3 | 4 | no | — |
| 345 | #4268 | C22×D3 | 1 | 4 | yes | complemented |
| 346 | #4268 | C22×D3 | 1 | 4 | yes | complemented |
| 347 | C2×Dic21 | C22×D3 | 1 | 2 | yes | complemented |
| 348 | D84 | — | 3 | 4 | no | — |
| 349 | D84 | — | 3 | 4 | no | — |
| 350 | C4×D21 | — | 3 | 4 | no | — |
| 351 | C4×D21 | — | 3 | 4 | no | — |
| 352 | C7×#67 | — | 3 | 4 | no | — |
| 353 | C7×#67 | — | 3 | 4 | no | — |
| 354 | C7×#67 | — | 3 | 4 | no | — |
| 355 | C7×#67 | — | 3 | 4 | no | — |
| 356 | C7×#67 | — | 6 | 4 | no | — |
| 357 | C7×#67 | C22×D3 | 1 | 4 | yes | complemented |
| 358 | C7×#67 | C22×D3 | 1 | 4 | yes | complemented |
| 359 | C2×C7×Dic3 | — | 3 | 2 | no | — |
| 360 | C2×C7×Dic3 | — | 3 | 4 | no | — |
| 361 | C2×C7×Dic3 | — | 6 | 1 | no | — |
| 362 | C2×C7×Dic3 | C22×D3 | 1 | 2 | yes | complemented |
| 363 | C7×D12 | — | 3 | 4 | no | — |
| 364 | C4×D3×C7 | — | 3 | 4 | no | — |
| 365 | C4×D3×C7 | — | 3 | 4 | no | — |
| 366 | C7×Dic6 | — | 3 | 4 | no | — |
| 367 | C3×C22⋊D7 | — | 2 | 4 | no | — |
| 368 | C3×C22⋊D7 | — | 3 | 4 | no | — |
| 369 | C3×C22⋊D7 | — | 3 | 4 | no | — |
| 370 | C3×C22⋊D7 | — | 3 | 4 | no | — |
| 371 | C3×C22⋊D7 | — | 3 | 4 | no | — |
| 372 | C3×C22⋊D7 | C22×D3 | 1 | 4 | yes | complemented |
| 373 | C3×C22⋊D7 | C22×D3 | 1 | 4 | yes | complemented |
| 374 | C2×C3×Dic7 | — | 2 | 1 | no | — |
| 375 | C2×C3×Dic7 | — | 3 | 2 | no | — |
| 376 | C2×C3×Dic7 | — | 3 | 4 | no | — |
| 377 | C2×C3×Dic7 | C22×D3 | 1 | 2 | yes | complemented |
| 378 | C3×D28 | — | 3 | 4 | no | — |
| 379 | C3×C4×D7 | — | 3 | 4 | no | — |
| 380 | C3×C4×D7 | — | 3 | 4 | no | — |
| 381 | C3×Dic14 | — | 3 | 4 | no | — |
| 382 | #4248 | — | 3 | 4 | no | — |
| 383 | #4248 | C22×D3 | 1 | 4 | yes | complemented |
| 384 | #4247 | — | 3 | 4 | no | — |
| 385 | #4247 | — | 3 | 4 | no | — |
| 386 | #4247 | — | 3 | 4 | no | — |
| 387 | #4247 | — | 3 | 4 | no | — |
| 388 | #4247 | — | 3 | 4 | no | — |
| 389 | #4247 | — | 6 | 4 | no | — |
| 390 | #4247 | C22×D3 | 1 | 4 | yes | complemented |
| 391 | #4246 | — | 3 | 4 | no | — |
| 392 | #4246 | — | 3 | 4 | no | — |
| 393 | #4246 | — | 3 | 4 | no | — |
| 394 | #4246 | — | 3 | 4 | no | — |
| 395 | #4246 | — | 3 | 4 | no | — |
| 396 | #4246 | — | 6 | 4 | no | — |
| 397 | #4246 | C22×D3 | 1 | 4 | yes | complemented |
| 398 | #4245 | — | 3 | 4 | no | — |
| 399 | #4245 | C22×D3 | 1 | 4 | yes | complemented |
| 400 | D21⋊C4 | — | 3 | 4 | no | — |
| 401 | D21⋊C4 | — | 3 | 4 | no | — |
| 402 | D21⋊C4 | — | 3 | 4 | no | — |
| 403 | D21⋊C4 | — | 3 | 4 | no | — |
| 404 | D21⋊C4 | — | 3 | 4 | no | — |
| 405 | D21⋊C4 | — | 6 | 2 | no | — |
| 406 | D21⋊C4 | — | 6 | 2 | no | — |
| 407 | D21⋊C4 | C22×D3 | 1 | 4 | yes | complemented |
| 408 | D3×Dic7 | — | 3 | 4 | no | — |
| 409 | D3×Dic7 | C22×D3 | 1 | 4 | yes | complemented |
| 410 | Dic3×D7 | — | 3 | 4 | no | — |
| 411 | Dic3×D7 | C22×D3 | 1 | 4 | yes | complemented |
| 412 | C23×C3⋊D3 | — | 7 | 1 | no | — |
| 413 | C23×C3⋊D3 | — | 7 | 1 | no | — |
| 414 | C22×D32 | — | 7 | 2 | no | — |
| 415 | C22×D32 | — | 7 | 2 | no | — |
| 416 | C2×C32×D4 | — | 7 | 1 | no | — |
| 417 | C2×#638 | — | 7 | 1 | no | — |
| 418 | C2×#638 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 419 | D4×C3⋊D3 | — | 7 | 4 | no | — |
| 420 | D4×C3⋊D3 | — | 7 | 4 | no | — |
| 421 | C2×C4⋊(C3⋊D3) | — | 7 | 1 | no | — |
| 422 | C2×C4×C3⋊D3 | — | 7 | 1 | no | — |
| 423 | C2×C3×#67 | — | 7 | 2 | no | — |
| 424 | C2×C3×#67 | — | 7 | 4 | no | — |
| 425 | C2×C3×#67 | C2×D7 | 1 | 2 | yes | complemented |
| 426 | C3×#237 | — | 7 | 4 | no | — |
| 427 | C3×#237 | — | 7 | 4 | no | — |
| 428 | C3×D3×D4 | — | 7 | 4 | no | — |
| 429 | C3×D3×D4 | — | 7 | 4 | no | — |
| 430 | C3×#235 | — | 7 | 4 | no | — |
| 431 | #3811 | — | 7 | 2 | no | — |
| 432 | #3811 | — | 7 | 2 | no | — |
| 433 | #3811 | — | 7 | 4 | no | — |
| 434 | #3811 | — | 7 | 4 | no | — |
| 435 | #3811 | — | 7 | 4 | no | — |
| 436 | #3811 | — | 7 | 4 | no | — |
| 437 | #3811 | — | 7 | 4 | no | — |
| 438 | #3811 | — | 7 | 2 | no | — |
| 439 | #3811 | C2×D7 | 1 | 2 | yes | complemented |
| 440 | D3×#67 | — | 7 | 4 | no | — |
| 441 | D3×#67 | — | 7 | 4 | no | — |
| 442 | D3×#67 | — | 7 | 4 | no | — |
| 443 | D3×#67 | C2×D7 | 1 | 4 | yes | complemented |
| 444 | C2×#626 | — | 7 | 2 | no | — |
| 445 | C2×#626 | — | 7 | 2 | no | — |
| 446 | C2×#626 | — | 7 | 4 | no | — |
| 447 | C2×#624 | — | 7 | 2 | no | — |
| 448 | C2×#624 | — | 7 | 2 | no | — |
| 449 | #3805 | — | 7 | 2 | no | — |
| 450 | #3805 | C2×D7 | 1 | 2 | yes | complemented |
| 451 | #3804 | — | 7 | 4 | no | — |
| 452 | #3804 | — | 7 | 4 | no | — |
| 453 | #3804 | — | 7 | 4 | no | — |
| 454 | #3804 | C2×D7 | 1 | 4 | yes | complemented |
| 455 | #3802 | — | 7 | 2 | no | — |
| 456 | D3×D12 | — | 7 | 4 | no | — |
| 457 | D3×D12 | — | 7 | 4 | no | — |
| 458 | C4×D32 | — | 7 | 4 | no | — |
| 459 | #3799 | — | 7 | 4 | no | — |
| 460 | #3799 | — | 7 | 4 | no | — |
| 461 | #3798 | — | 7 | 2 | no | — |
| 462 | #3798 | — | 7 | 2 | no | — |
| 463 | #3797 | — | 7 | 2 | no | — |
| 464 | #3796 | — | 7 | 4 | no | — |
| 465 | C2×C32×C7 | — | 2 | 1 | no | — |
| 466 | C2×C32×C7 | — | 2 | 2 | no | — |
| 467 | C2×C32×C7 | C25 | 1 | 1 | yes | characteristic |
| 468 | C3⋊D21 | — | 2 | 1 | no | — |
| 469 | C3⋊D21 | — | 2 | 2 | no | — |
| 470 | C3⋊D21 | H(5,𝔽2) | 1 | 2 | yes | complemented |
| 471 | C7×C3⋊D3 | — | 2 | 2 | no | — |
| 472 | C3×D21 | — | 2 | 4 | no | — |
| 473 | C3×D3×C7 | — | 2 | 4 | no | — |
| 474 | C32×D7 | — | 2 | 2 | no | — |
| 475 | C23×D7 | — | 9 | 2 | no | — |
| 476 | C23×D7 | — | 9 | 2 | no | — |
| 477 | C23×D7 | — | 9 | 1 | no | — |
| 478 | C23×D7 | — | 9 | 1 | no | — |
| 479 | C7×#41 | — | 9 | 4 | no | — |
| 480 | C7×#41 | — | 9 | 2 | no | — |
| 481 | C2×C7×D4 | — | 3 | 2 | no | — |
| 482 | C2×C7×D4 | — | 9 | 2 | no | — |
| 483 | C2×C7×D4 | — | 9 | 4 | no | — |
| 484 | C2×C7×D4 | — | 9 | 1 | no | — |
| 485 | C2×C22⋊D7 | — | 3 | 2 | no | — |
| 486 | C2×C22⋊D7 | — | 3 | 4 | no | — |
| 487 | C2×C22⋊D7 | — | 9 | 4 | no | — |
| 488 | C2×C22⋊D7 | — | 9 | 2 | no | — |
| 489 | C2×C22⋊D7 | — | 9 | 2 | no | — |
| 490 | C2×C22⋊D7 | — | 9 | 2 | no | — |
| 491 | C2×C22⋊D7 | — | 9 | 1 | no | — |
| 492 | C2×C22⋊D7 | D32 | 1 | 1 | yes | characteristic, complemented |
| 493 | #1161 | — | 9 | 2 | no | — |
| 494 | #1161 | — | 9 | 4 | no | — |
| 495 | Q8×D7 | — | 9 | 2 | no | — |
| 496 | #1159 | — | 3 | 4 | no | — |
| 497 | #1159 | — | 3 | 4 | no | — |
| 498 | #1159 | — | 9 | 4 | no | — |
| 499 | #1159 | — | 9 | 2 | no | — |
| 500 | #1159 | — | 9 | 4 | no | — |
| 501 | D4×D7 | — | 3 | 4 | no | — |
| 502 | D4×D7 | — | 3 | 4 | no | — |
| 503 | D4×D7 | — | 9 | 4 | no | — |
| 504 | D4×D7 | — | 9 | 4 | no | — |
| 505 | D4×D7 | — | 9 | 4 | no | — |
| 506 | D4×D7 | — | 9 | 2 | no | — |
| 507 | D4×D7 | — | 9 | 4 | no | — |
| 508 | D4×D7 | — | 9 | 4 | no | — |
| 509 | D4×D7 | — | 9 | 4 | no | — |
| 510 | D4×D7 | — | 9 | 4 | no | — |
| 511 | D4×D7 | — | 9 | 4 | no | — |
| 512 | D4×D7 | — | 9 | 4 | no | — |
| 513 | D4×D7 | — | 9 | 4 | no | — |
| 514 | D4×D7 | — | 9 | 4 | no | — |
| 515 | #1157 | — | 3 | 4 | no | — |
| 516 | #1157 | — | 9 | 4 | no | — |
| 517 | #1157 | — | 9 | 4 | no | — |
| 518 | #1157 | — | 9 | 4 | no | — |
| 519 | #1157 | — | 9 | 2 | no | — |
| 520 | C2×D28 | — | 9 | 2 | no | — |
| 521 | C2×D28 | — | 9 | 4 | no | — |
| 522 | C2×D28 | — | 9 | 2 | no | — |
| 523 | C2×D28 | — | 9 | 1 | no | — |
| 524 | C2×C4×D7 | — | 9 | 2 | no | — |
| 525 | C2×C4×D7 | — | 9 | 4 | no | — |
| 526 | C2×C4×D7 | — | 9 | 2 | no | — |
| 527 | C2×C4×D7 | — | 9 | 1 | no | — |
| 528 | C3×H(5,𝔽2) | — | 21 | 2 | no | — |
| 529 | #1009 | — | 21 | 4 | no | — |
| 530 | #1009 | — | 21 | 4 | no | — |
| 531 | #1009 | — | 21 | 4 | no | — |
| 532 | D3×#41 | — | 21 | 4 | no | — |
| 533 | D3×#41 | — | 21 | 4 | no | — |
| 534 | D3×#41 | — | 21 | 4 | no | — |
| 535 | #1004 | — | 3 | 2 | no | — |
| 536 | #1004 | — | 7 | 2 | no | — |
| 537 | #1004 | — | 21 | 4 | no | — |
| 538 | #1004 | — | 21 | 4 | no | — |
| 539 | #1004 | — | 21 | 4 | no | — |
| 540 | #1004 | — | 21 | 2 | no | — |
| 541 | C2×D3×D4 | — | 21 | 4 | no | — |
| 542 | C2×D3×D4 | — | 21 | 4 | no | — |
| 543 | C2×D3×D4 | — | 21 | 4 | no | — |
| 544 | C2×D3×D4 | — | 21 | 2 | no | — |
| 545 | C2×D3×D4 | — | 21 | 2 | no | — |
| 546 | C2×D3×D4 | — | 21 | 2 | no | — |
| 547 | C2×D3×D4 | — | 42 | 1 | no | — |
| 548 | C22×C3×C7 | — | 2 | 1 | no | — |
| 549 | C22×C3×C7 | — | 2 | 2 | no | — |
| 550 | C22×C3×C7 | — | 3 | 4 | no | — |
| 551 | C22×C3×C7 | — | 4 | 2 | no | — |
| 552 | C22×C3×C7 | — | 4 | 1 | no | — |
| 553 | C22×C3×C7 | — | 4 | 1 | no | — |
| 554 | C22×C3×C7 | — | 12 | 2 | no | — |
| 555 | C22×C3×C7 | C23×D3 | 1 | 2 | yes | — |
| 556 | C22×C3×C7 | C23×D3 | 1 | 2 | yes | — |
| 557 | C22×C3×C7 | C23×D3 | 1 | 2 | yes | — |
| 558 | C2×D21 | — | 3 | 2 | no | — |
| 559 | C2×D21 | — | 3 | 2 | no | — |
| 560 | C2×D21 | — | 3 | 2 | no | — |
| 561 | C2×D21 | — | 3 | 2 | no | — |
| 562 | C2×D21 | — | 4 | 2 | no | — |
| 563 | C2×D21 | — | 6 | 1 | no | — |
| 564 | C2×D21 | — | 6 | 1 | no | — |
| 565 | C2×D21 | — | 6 | 2 | no | — |
| 566 | C2×D21 | — | 6 | 8 | no | — |
| 567 | C2×D21 | — | 6 | 4 | no | — |
| 568 | C2×D21 | — | 6 | 4 | no | — |
| 569 | C2×D21 | — | 6 | 4 | no | — |
| 570 | C2×D21 | — | 6 | 2 | no | — |
| 571 | C2×D21 | — | 6 | 2 | no | — |
| 572 | C2×D21 | — | 12 | 4 | no | — |
| 573 | C2×D21 | — | 12 | 4 | no | — |
| 574 | C2×D21 | — | 12 | 2 | no | — |
| 575 | C2×D21 | — | 12 | 2 | no | — |
| 576 | C2×D21 | — | 12 | 2 | no | — |
| 577 | C2×D21 | — | 12 | 2 | no | — |
| 578 | C2×D21 | — | 12 | 2 | no | — |
| 579 | C2×D21 | — | 12 | 1 | no | — |
| 580 | C2×D21 | — | 12 | 1 | no | — |
| 581 | C2×D21 | C23×D3 | 1 | 4 | yes | — |
| 582 | C2×D3×C7 | — | 3 | 4 | no | — |
| 583 | C2×D3×C7 | — | 4 | 2 | no | — |
| 584 | C2×D3×C7 | — | 6 | 2 | no | — |
| 585 | C2×D3×C7 | — | 12 | 4 | no | — |
| 586 | C2×D3×C7 | — | 12 | 2 | no | — |
| 587 | C2×D3×C7 | — | 12 | 1 | no | — |
| 588 | C2×D3×C7 | — | 12 | 1 | no | — |
| 589 | C2×D3×C7 | C23×D3 | 1 | 4 | yes | — |
| 590 | C2×C3×D7 | — | 2 | 2 | no | — |
| 591 | C2×C3×D7 | — | 3 | 4 | no | — |
| 592 | C2×C3×D7 | — | 4 | 2 | no | — |
| 593 | C2×C3×D7 | — | 4 | 1 | no | — |
| 594 | C2×C3×D7 | — | 4 | 1 | no | — |
| 595 | C2×C3×D7 | — | 12 | 4 | no | — |
| 596 | C2×C3×D7 | — | 12 | 2 | no | — |
| 597 | C2×C3×D7 | C23×D3 | 1 | 4 | yes | — |
| 598 | D3×D7 | — | 4 | 4 | no | — |
| 599 | D3×D7 | — | 6 | 8 | no | — |
| 600 | D3×D7 | — | 6 | 8 | no | — |
| 601 | D3×D7 | — | 12 | 4 | no | — |
| 602 | D3×D7 | — | 12 | 4 | no | — |
| 603 | D3×D7 | — | 12 | 4 | no | — |
| 604 | D3×D7 | — | 12 | 4 | no | — |
| 605 | D3×D7 | — | 12 | 2 | no | — |
| 606 | D3×D7 | — | 12 | 2 | no | — |
| 607 | C3×C4×C7 | — | 3 | 4 | no | — |
| 608 | Dic21 | C23×D3 | 1 | 4 | yes | — |
| 609 | C3×Dic7 | — | 2 | 2 | no | — |
| 610 | C3×Dic7 | — | 3 | 4 | no | — |
| 611 | C3×Dic7 | C23×D3 | 1 | 4 | yes | — |
| 612 | C7×Dic3 | — | 3 | 4 | no | — |
| 613 | C7×Dic3 | — | 6 | 2 | no | — |
| 614 | C7×Dic3 | C23×D3 | 1 | 4 | yes | — |
| 615 | C23×C32 | — | 7 | 1 | no | — |
| 616 | C23×C32 | C22×D7 | 1 | 1 | yes | characteristic, complemented |
| 617 | C22×C3⋊D3 | — | 7 | 2 | no | — |
| 618 | C22×C3⋊D3 | — | 7 | 1 | no | — |
| 619 | C22×C3⋊D3 | — | 7 | 2 | no | — |
| 620 | C22×C3⋊D3 | — | 7 | 1 | no | — |
| 621 | C22×C3⋊D3 | — | 7 | 2 | no | — |
| 622 | C22×C3⋊D3 | — | 7 | 2 | no | — |
| 623 | C22×C3⋊D3 | — | 28 | 2 | no | — |
| 624 | C22×C3⋊D3 | — | 28 | 2 | no | — |
| 625 | C22×C3⋊D3 | C22×D7 | 1 | 1 | yes | characteristic, complemented |
| 626 | C22×C3×D3 | — | 7 | 2 | no | — |
| 627 | C22×C3×D3 | — | 7 | 4 | no | — |
| 628 | C22×C3×D3 | C22×D7 | 1 | 2 | yes | complemented |
| 629 | C2×D32 | — | 7 | 4 | no | — |
| 630 | C2×D32 | — | 7 | 2 | no | — |
| 631 | C2×D32 | — | 7 | 4 | no | — |
| 632 | C2×D32 | — | 28 | 4 | no | — |
| 633 | C2×D32 | — | 28 | 4 | no | — |
| 634 | C2×D32 | C22×D7 | 1 | 2 | yes | complemented |
| 635 | C32×D4 | — | 7 | 4 | no | — |
| 636 | C2×C32×C4 | — | 7 | 1 | no | — |
| 637 | #638 | — | 7 | 4 | no | — |
| 638 | #638 | C22×D7 | 1 | 4 | yes | complemented |
| 639 | C2×C3⋊Dic3 | C22×D7 | 1 | 1 | yes | characteristic, complemented |
| 640 | C4⋊(C3⋊D3) | — | 7 | 4 | no | — |
| 641 | C4×C3⋊D3 | — | 7 | 2 | no | — |
| 642 | C4×C3⋊D3 | — | 7 | 2 | no | — |
| 643 | C3×#67 | — | 7 | 4 | no | — |
| 644 | C3×#67 | — | 7 | 4 | no | — |
| 645 | C3×#67 | — | 7 | 4 | no | — |
| 646 | C3×#67 | — | 7 | 4 | no | — |
| 647 | C3×#67 | C22×D7 | 1 | 4 | yes | complemented |
| 648 | C3×#67 | C22×D7 | 1 | 4 | yes | complemented |
| 649 | C2×C3×Dic3 | — | 7 | 2 | no | — |
| 650 | C2×C3×Dic3 | — | 7 | 4 | no | — |
| 651 | C2×C3×Dic3 | C22×D7 | 1 | 2 | yes | complemented |
| 652 | C3×D12 | — | 7 | 4 | no | — |
| 653 | C3×C4×D3 | — | 7 | 4 | no | — |
| 654 | C3×C4×D3 | — | 7 | 4 | no | — |
| 655 | C3×Dic6 | — | 7 | 4 | no | — |
| 656 | #627 | — | 7 | 2 | no | — |
| 657 | #627 | C22×D7 | 1 | 2 | yes | complemented |
| 658 | #626 | — | 7 | 4 | no | — |
| 659 | #626 | — | 7 | 4 | no | — |
| 660 | #626 | — | 7 | 4 | no | — |
| 661 | #626 | — | 7 | 4 | no | — |
| 662 | #626 | — | 7 | 4 | no | — |
| 663 | #626 | C22×D7 | 1 | 4 | yes | complemented |
| 664 | #625 | — | 7 | 2 | no | — |
| 665 | #625 | C22×D7 | 1 | 2 | yes | complemented |
| 666 | #624 | — | 7 | 2 | no | — |
| 667 | #624 | — | 7 | 4 | no | — |
| 668 | #624 | — | 7 | 4 | no | — |
| 669 | #624 | C22×D7 | 1 | 2 | yes | complemented |
| 670 | D3×Dic3 | — | 7 | 4 | no | — |
| 671 | D3×Dic3 | C22×D7 | 1 | 4 | yes | complemented |
| 672 | C2×H(5,𝔽2) | — | 63 | 1 | no | Sylow |
| 673 | C32×C7 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic, complemented, Hall |
| 674 | C23×C7 | — | 3 | 2 | no | — |
| 675 | C23×C7 | — | 9 | 2 | no | — |
| 676 | C23×C7 | — | 9 | 1 | no | — |
| 677 | C23×C7 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 678 | C22×D7 | — | 3 | 2 | no | — |
| 679 | C22×D7 | — | 3 | 4 | no | — |
| 680 | C22×D7 | — | 9 | 2 | no | — |
| 681 | C22×D7 | — | 9 | 4 | no | — |
| 682 | C22×D7 | — | 9 | 4 | no | — |
| 683 | C22×D7 | — | 9 | 1 | no | — |
| 684 | C22×D7 | — | 9 | 2 | no | — |
| 685 | C22×D7 | — | 9 | 2 | no | — |
| 686 | C22×D7 | — | 9 | 1 | no | — |
| 687 | C22×D7 | — | 9 | 2 | no | — |
| 688 | C22×D7 | — | 9 | 2 | no | — |
| 689 | C22×D7 | — | 36 | 2 | no | — |
| 690 | C22×D7 | — | 36 | 4 | no | — |
| 691 | C22×D7 | — | 36 | 4 | no | — |
| 692 | C22×D7 | — | 36 | 2 | no | — |
| 693 | C22×D7 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 694 | C7×Q8 | — | 9 | 2 | no | — |
| 695 | C7×D4 | — | 3 | 4 | no | — |
| 696 | C7×D4 | — | 3 | 4 | no | — |
| 697 | C7×D4 | — | 9 | 4 | no | — |
| 698 | C7×D4 | — | 9 | 2 | no | — |
| 699 | C7×D4 | — | 9 | 4 | no | — |
| 700 | C2×C4×C7 | — | 3 | 2 | no | — |
| 701 | C2×C4×C7 | — | 9 | 2 | no | — |
| 702 | C2×C4×C7 | — | 9 | 4 | no | — |
| 703 | C2×C4×C7 | — | 9 | 1 | no | — |
| 704 | C22⋊D7 | — | 3 | 4 | no | — |
| 705 | C22⋊D7 | — | 3 | 4 | no | — |
| 706 | C22⋊D7 | — | 3 | 4 | no | — |
| 707 | C22⋊D7 | — | 3 | 4 | no | — |
| 708 | C22⋊D7 | — | 9 | 4 | no | — |
| 709 | C22⋊D7 | — | 9 | 4 | no | — |
| 710 | C22⋊D7 | — | 9 | 4 | no | — |
| 711 | C22⋊D7 | — | 9 | 4 | no | — |
| 712 | C22⋊D7 | C2×D32 | 1 | 4 | yes | complemented |
| 713 | C2×Dic7 | — | 3 | 2 | no | — |
| 714 | C2×Dic7 | — | 3 | 4 | no | — |
| 715 | C2×Dic7 | — | 9 | 2 | no | — |
| 716 | C2×Dic7 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 717 | D28 | — | 3 | 4 | no | — |
| 718 | D28 | — | 9 | 4 | no | — |
| 719 | D28 | — | 9 | 4 | no | — |
| 720 | D28 | — | 9 | 2 | no | — |
| 721 | D28 | — | 9 | 4 | no | — |
| 722 | C4×D7 | — | 3 | 4 | no | — |
| 723 | C4×D7 | — | 3 | 4 | no | — |
| 724 | C4×D7 | — | 9 | 4 | no | — |
| 725 | C4×D7 | — | 9 | 4 | no | — |
| 726 | C4×D7 | — | 9 | 4 | no | — |
| 727 | C4×D7 | — | 9 | 2 | no | — |
| 728 | C4×D7 | — | 9 | 2 | no | — |
| 729 | Dic14 | — | 3 | 4 | no | — |
| 730 | Dic14 | — | 9 | 2 | no | — |
| 731 | C23×D3 | — | 21 | 4 | no | — |
| 732 | C23×D3 | — | 21 | 2 | no | — |
| 733 | C23×D3 | — | 21 | 2 | no | — |
| 734 | C23×D3 | — | 21 | 2 | no | — |
| 735 | C23×D3 | — | 21 | 2 | no | — |
| 736 | C23×D3 | — | 42 | 1 | no | — |
| 737 | C23×D3 | — | 42 | 1 | no | — |
| 738 | C3×#41 | — | 21 | 4 | no | — |
| 739 | C3×#41 | — | 21 | 4 | no | — |
| 740 | C3×#41 | — | 21 | 4 | no | — |
| 741 | C2×C3×D4 | — | 3 | 2 | no | — |
| 742 | C2×C3×D4 | — | 7 | 2 | no | — |
| 743 | C2×C3×D4 | — | 14 | 1 | no | — |
| 744 | C2×C3×D4 | — | 21 | 4 | no | — |
| 745 | C2×C3×D4 | — | 21 | 4 | no | — |
| 746 | C2×C3×D4 | — | 21 | 4 | no | — |
| 747 | C2×C3×D4 | — | 21 | 2 | no | — |
| 748 | C2×#67 | — | 3 | 2 | no | — |
| 749 | C2×#67 | — | 3 | 4 | no | — |
| 750 | C2×#67 | — | 6 | 1 | no | — |
| 751 | C2×#67 | — | 7 | 2 | no | — |
| 752 | C2×#67 | — | 7 | 4 | no | — |
| 753 | C2×#67 | — | 21 | 4 | no | — |
| 754 | C2×#67 | — | 21 | 2 | no | — |
| 755 | C2×#67 | — | 21 | 4 | no | — |
| 756 | C2×#67 | — | 21 | 2 | no | — |
| 757 | C2×#67 | — | 21 | 4 | no | — |
| 758 | C2×#67 | — | 21 | 4 | no | — |
| 759 | C2×#67 | — | 21 | 2 | no | — |
| 760 | C2×#67 | — | 42 | 1 | no | — |
| 761 | C2×#67 | D3×D7 | 1 | 2 | yes | complemented |
| 762 | #239 | — | 21 | 4 | no | — |
| 763 | #239 | — | 21 | 4 | no | — |
| 764 | #239 | — | 21 | 4 | no | — |
| 765 | D3×Q8 | — | 21 | 4 | no | — |
| 766 | #237 | — | 3 | 4 | no | — |
| 767 | #237 | — | 3 | 4 | no | — |
| 768 | #237 | — | 7 | 4 | no | — |
| 769 | #237 | — | 7 | 4 | no | — |
| 770 | #237 | — | 21 | 4 | no | — |
| 771 | #237 | — | 21 | 4 | no | — |
| 772 | #237 | — | 21 | 4 | no | — |
| 773 | #237 | — | 21 | 4 | no | — |
| 774 | #237 | — | 21 | 4 | no | — |
| 775 | D3×D4 | — | 3 | 4 | no | — |
| 776 | D3×D4 | — | 3 | 4 | no | — |
| 777 | D3×D4 | — | 7 | 4 | no | — |
| 778 | D3×D4 | — | 7 | 4 | no | — |
| 779 | D3×D4 | — | 21 | 4 | no | — |
| 780 | D3×D4 | — | 21 | 4 | no | — |
| 781 | D3×D4 | — | 21 | 4 | no | — |
| 782 | D3×D4 | — | 21 | 4 | no | — |
| 783 | D3×D4 | — | 21 | 4 | no | — |
| 784 | D3×D4 | — | 21 | 4 | no | — |
| 785 | D3×D4 | — | 21 | 4 | no | — |
| 786 | D3×D4 | — | 21 | 4 | no | — |
| 787 | D3×D4 | — | 21 | 4 | no | — |
| 788 | D3×D4 | — | 21 | 4 | no | — |
| 789 | D3×D4 | — | 21 | 4 | no | — |
| 790 | D3×D4 | — | 21 | 4 | no | — |
| 791 | D3×D4 | — | 21 | 4 | no | — |
| 792 | D3×D4 | — | 21 | 4 | no | — |
| 793 | D3×D4 | — | 21 | 4 | no | — |
| 794 | D3×D4 | — | 21 | 4 | no | — |
| 795 | D3×D4 | — | 21 | 4 | no | — |
| 796 | D3×D4 | — | 21 | 4 | no | — |
| 797 | D3×D4 | — | 21 | 4 | no | — |
| 798 | D3×D4 | — | 21 | 4 | no | — |
| 799 | D3×D4 | — | 21 | 4 | no | — |
| 800 | D3×D4 | — | 21 | 4 | no | — |
| 801 | D3×D4 | — | 21 | 4 | no | — |
| 802 | D3×D4 | — | 42 | 4 | no | — |
| 803 | D3×D4 | — | 42 | 4 | no | — |
| 804 | #235 | — | 3 | 4 | no | — |
| 805 | #235 | — | 7 | 4 | no | — |
| 806 | #235 | — | 21 | 4 | no | — |
| 807 | #235 | — | 21 | 4 | no | — |
| 808 | #235 | — | 21 | 4 | no | — |
| 809 | #235 | — | 21 | 4 | no | — |
| 810 | #235 | — | 21 | 4 | no | — |
| 811 | #235 | — | 21 | 4 | no | — |
| 812 | #235 | — | 21 | 4 | no | — |
| 813 | C2×D12 | — | 21 | 4 | no | — |
| 814 | C2×D12 | — | 21 | 4 | no | — |
| 815 | C2×D12 | — | 21 | 4 | no | — |
| 816 | C2×D12 | — | 21 | 2 | no | — |
| 817 | C2×D12 | — | 21 | 2 | no | — |
| 818 | C2×D12 | — | 21 | 2 | no | — |
| 819 | C2×D12 | — | 42 | 1 | no | — |
| 820 | C2×C4×D3 | — | 21 | 4 | no | — |
| 821 | C2×C4×D3 | — | 21 | 4 | no | — |
| 822 | C2×C4×D3 | — | 21 | 4 | no | — |
| 823 | C2×C4×D3 | — | 21 | 2 | no | — |
| 824 | C2×C4×D3 | — | 21 | 2 | no | — |
| 825 | C2×C4×D3 | — | 21 | 2 | no | — |
| 826 | C2×C4×D3 | — | 42 | 1 | no | — |
| 827 | C2×C3×C7 | — | 2 | 1 | no | — |
| 828 | C2×C3×C7 | — | 2 | 1 | no | — |
| 829 | C2×C3×C7 | — | 2 | 2 | no | — |
| 830 | C2×C3×C7 | — | 2 | 2 | no | — |
| 831 | C2×C3×C7 | — | 2 | 2 | no | — |
| 832 | C2×C3×C7 | — | 2 | 1 | no | — |
| 833 | C2×C3×C7 | — | 4 | 2 | no | — |
| 834 | C2×C3×C7 | — | 6 | 4 | no | — |
| 835 | C2×C3×C7 | C24×D3 | 1 | 2 | yes | — |
| 836 | D21 | — | 2 | 4 | no | — |
| 837 | D21 | — | 3 | 4 | no | — |
| 838 | D21 | — | 6 | 2 | no | — |
| 839 | D21 | — | 6 | 1 | no | — |
| 840 | D21 | — | 6 | 1 | no | — |
| 841 | D21 | — | 6 | 2 | no | — |
| 842 | D21 | — | 6 | 2 | no | — |
| 843 | D21 | — | 6 | 2 | no | — |
| 844 | D21 | — | 12 | 2 | no | — |
| 845 | C3×D7 | — | 2 | 4 | no | — |
| 846 | C3×D7 | — | 4 | 2 | no | — |
| 847 | C3×D7 | — | 6 | 4 | no | — |
| 848 | D3×C7 | — | 2 | 4 | no | — |
| 849 | D3×C7 | — | 6 | 4 | no | — |
| 850 | D3×C7 | — | 12 | 2 | no | — |
| 851 | C22×C32 | — | 4 | 1 | no | — |
| 852 | C22×C32 | — | 7 | 2 | no | — |
| 853 | C22×C32 | — | 28 | 1 | no | — |
| 854 | C22×C32 | C23×D7 | 1 | 2 | yes | — |
| 855 | C22×C32 | C23×D7 | 1 | 1 | yes | characteristic |
| 856 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 857 | C2×C3⋊D3 | — | 7 | 1 | no | — |
| 858 | C2×C3⋊D3 | — | 7 | 2 | no | — |
| 859 | C2×C3⋊D3 | — | 7 | 1 | no | — |
| 860 | C2×C3⋊D3 | — | 14 | 2 | no | — |
| 861 | C2×C3⋊D3 | — | 14 | 4 | no | — |
| 862 | C2×C3⋊D3 | — | 14 | 4 | no | — |
| 863 | C2×C3⋊D3 | — | 28 | 2 | no | — |
| 864 | C2×C3⋊D3 | — | 28 | 2 | no | — |
| 865 | C2×C3⋊D3 | — | 28 | 1 | no | — |
| 866 | C2×C3⋊D3 | C23×D7 | 1 | 2 | yes | — |
| 867 | C2×C3×D3 | — | 4 | 2 | no | — |
| 868 | C2×C3×D3 | — | 7 | 4 | no | — |
| 869 | C2×C3×D3 | — | 28 | 4 | no | — |
| 870 | C2×C3×D3 | — | 28 | 2 | no | — |
| 871 | C2×C3×D3 | C23×D7 | 1 | 4 | yes | — |
| 872 | D32 | — | 4 | 2 | no | — |
| 873 | D32 | — | 14 | 8 | no | — |
| 874 | D32 | — | 28 | 4 | no | — |
| 875 | D32 | — | 28 | 2 | no | — |
| 876 | C32×C4 | — | 7 | 2 | no | — |
| 877 | C3⋊Dic3 | C23×D7 | 1 | 2 | yes | — |
| 878 | C3×Dic3 | — | 7 | 4 | no | — |
| 879 | C3×Dic3 | C23×D7 | 1 | 4 | yes | — |
| 880 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 881 | H(5,𝔽2) | — | 21 | 2 | no | — |
| 882 | H(5,𝔽2) | — | 63 | 1 | no | — |
| 883 | H(5,𝔽2) | — | 63 | 4 | no | — |
| 884 | H(5,𝔽2) | — | 63 | 2 | no | — |
| 885 | H(5,𝔽2) | — | 63 | 2 | no | — |
| 886 | H(5,𝔽2) | — | 63 | 4 | no | — |
| 887 | C2×#41 | — | 63 | 4 | no | — |
| 888 | C2×#41 | — | 63 | 2 | no | — |
| 889 | C22×D4 | — | 63 | 2 | no | — |
| 890 | C22×D4 | — | 63 | 1 | no | — |
| 891 | C22×D4 | — | 63 | 2 | no | — |
| 892 | C22×D4 | — | 63 | 4 | no | — |
| 893 | C22×C7 | — | 3 | 4 | no | — |
| 894 | C22×C7 | — | 4 | 1 | no | — |
| 895 | C22×C7 | — | 9 | 2 | no | — |
| 896 | C22×C7 | — | 12 | 2 | no | — |
| 897 | C22×C7 | — | 36 | 1 | no | — |
| 898 | C22×C7 | — | 36 | 2 | no | — |
| 899 | C22×C7 | C22×D32 | 1 | 2 | yes | — |
| 900 | C22×C7 | C22×D32 | 1 | 1 | yes | characteristic |
| 901 | C2×D7 | — | 3 | 4 | no | — |
| 902 | C2×D7 | — | 4 | 1 | no | — |
| 903 | C2×D7 | — | 9 | 1 | no | — |
| 904 | C2×D7 | — | 9 | 1 | no | — |
| 905 | C2×D7 | — | 9 | 2 | no | — |
| 906 | C2×D7 | — | 12 | 4 | no | — |
| 907 | C2×D7 | — | 12 | 2 | no | — |
| 908 | C2×D7 | — | 18 | 4 | no | — |
| 909 | C2×D7 | — | 18 | 8 | no | — |
| 910 | C2×D7 | — | 18 | 2 | no | — |
| 911 | C2×D7 | — | 18 | 4 | no | — |
| 912 | C2×D7 | — | 36 | 2 | no | — |
| 913 | C2×D7 | — | 36 | 2 | no | — |
| 914 | C2×D7 | — | 36 | 4 | no | — |
| 915 | C2×D7 | — | 36 | 2 | no | — |
| 916 | C2×D7 | — | 36 | 1 | no | — |
| 917 | C2×D7 | C22×D32 | 1 | 2 | yes | — |
| 918 | C4×C7 | — | 3 | 4 | no | — |
| 919 | C4×C7 | — | 9 | 2 | no | — |
| 920 | Dic7 | — | 3 | 4 | no | — |
| 921 | Dic7 | C22×D32 | 1 | 2 | yes | — |
| 922 | C23×C3 | — | 2 | 1 | no | — |
| 923 | C23×C3 | — | 3 | 2 | no | — |
| 924 | C23×C3 | — | 7 | 2 | no | — |
| 925 | C23×C3 | — | 14 | 1 | no | — |
| 926 | C23×C3 | — | 21 | 4 | no | — |
| 927 | C23×C3 | — | 21 | 2 | no | — |
| 928 | C23×C3 | C2×D3×D7 | 1 | 2 | yes | complemented |
| 929 | C22×D3 | — | 3 | 2 | no | — |
| 930 | C22×D3 | — | 3 | 4 | no | — |
| 931 | C22×D3 | — | 6 | 1 | no | — |
| 932 | C22×D3 | — | 7 | 2 | no | — |
| 933 | C22×D3 | — | 7 | 4 | no | — |
| 934 | C22×D3 | — | 21 | 4 | no | — |
| 935 | C22×D3 | — | 21 | 4 | no | — |
| 936 | C22×D3 | — | 21 | 4 | no | — |
| 937 | C22×D3 | — | 21 | 4 | no | — |
| 938 | C22×D3 | — | 21 | 4 | no | — |
| 939 | C22×D3 | — | 21 | 2 | no | — |
| 940 | C22×D3 | — | 21 | 2 | no | — |
| 941 | C22×D3 | — | 21 | 2 | no | — |
| 942 | C22×D3 | — | 21 | 2 | no | — |
| 943 | C22×D3 | — | 21 | 2 | no | — |
| 944 | C22×D3 | — | 21 | 2 | no | — |
| 945 | C22×D3 | — | 21 | 4 | no | — |
| 946 | C22×D3 | — | 21 | 4 | no | — |
| 947 | C22×D3 | — | 42 | 2 | no | — |
| 948 | C22×D3 | — | 42 | 2 | no | — |
| 949 | C22×D3 | — | 42 | 1 | no | — |
| 950 | C22×D3 | — | 42 | 2 | no | — |
| 951 | C22×D3 | — | 42 | 1 | no | — |
| 952 | C22×D3 | — | 42 | 2 | no | — |
| 953 | C22×D3 | — | 84 | 4 | no | — |
| 954 | C22×D3 | — | 84 | 8 | no | — |
| 955 | C22×D3 | — | 84 | 4 | no | — |
| 956 | C22×D3 | — | 84 | 2 | no | — |
| 957 | C22×D3 | — | 84 | 2 | no | — |
| 958 | C22×D3 | — | 84 | 4 | no | — |
| 959 | C22×D3 | — | 84 | 4 | no | — |
| 960 | C22×D3 | — | 84 | 2 | no | — |
| 961 | C22×D3 | — | 84 | 2 | no | — |
| 962 | C22×D3 | C2×D3×D7 | 1 | 2 | yes | complemented |
| 963 | C3×Q8 | — | 21 | 4 | no | — |
| 964 | C3×D4 | — | 3 | 4 | no | — |
| 965 | C3×D4 | — | 3 | 4 | no | — |
| 966 | C3×D4 | — | 7 | 4 | no | — |
| 967 | C3×D4 | — | 7 | 4 | no | — |
| 968 | C3×D4 | — | 14 | 4 | no | — |
| 969 | C3×D4 | — | 21 | 4 | no | — |
| 970 | C3×D4 | — | 21 | 4 | no | — |
| 971 | C3×D4 | — | 21 | 4 | no | — |
| 972 | C3×D4 | — | 21 | 4 | no | — |
| 973 | C3×D4 | — | 21 | 4 | no | — |
| 974 | C2×C3×C4 | — | 3 | 2 | no | — |
| 975 | C2×C3×C4 | — | 7 | 2 | no | — |
| 976 | C2×C3×C4 | — | 14 | 1 | no | — |
| 977 | C2×C3×C4 | — | 21 | 4 | no | — |
| 978 | C2×C3×C4 | — | 21 | 4 | no | — |
| 979 | C2×C3×C4 | — | 21 | 4 | no | — |
| 980 | C2×C3×C4 | — | 21 | 2 | no | — |
| 981 | #67 | — | 3 | 4 | no | — |
| 982 | #67 | — | 3 | 4 | no | — |
| 983 | #67 | — | 3 | 4 | no | — |
| 984 | #67 | — | 3 | 4 | no | — |
| 985 | #67 | — | 6 | 4 | no | — |
| 986 | #67 | — | 7 | 4 | no | — |
| 987 | #67 | — | 7 | 4 | no | — |
| 988 | #67 | — | 7 | 4 | no | — |
| 989 | #67 | — | 7 | 4 | no | — |
| 990 | #67 | — | 21 | 4 | no | — |
| 991 | #67 | — | 21 | 4 | no | — |
| 992 | #67 | — | 21 | 4 | no | — |
| 993 | #67 | — | 21 | 4 | no | — |
| 994 | #67 | — | 21 | 4 | no | — |
| 995 | #67 | — | 21 | 4 | no | — |
| 996 | #67 | — | 21 | 4 | no | — |
| 997 | #67 | — | 21 | 4 | no | — |
| 998 | #67 | — | 42 | 4 | no | — |
| 999 | #67 | C2×D3×D7 | 1 | 4 | yes | complemented |
| 1000 | #67 | C2×D3×D7 | 1 | 4 | yes | complemented |
| 1001 | C2×Dic3 | — | 3 | 2 | no | — |
| 1002 | C2×Dic3 | — | 3 | 4 | no | — |
| 1003 | C2×Dic3 | — | 6 | 1 | no | — |
| 1004 | C2×Dic3 | — | 7 | 2 | no | — |
| 1005 | C2×Dic3 | — | 7 | 4 | no | — |
| 1006 | C2×Dic3 | — | 21 | 4 | no | — |
| 1007 | C2×Dic3 | C2×D3×D7 | 1 | 2 | yes | complemented |
| 1008 | D12 | — | 3 | 4 | no | — |
| 1009 | D12 | — | 7 | 4 | no | — |
| 1010 | D12 | — | 21 | 4 | no | — |
| 1011 | D12 | — | 21 | 4 | no | — |
| 1012 | D12 | — | 21 | 4 | no | — |
| 1013 | D12 | — | 21 | 4 | no | — |
| 1014 | D12 | — | 21 | 4 | no | — |
| 1015 | D12 | — | 21 | 4 | no | — |
| 1016 | D12 | — | 21 | 4 | no | — |
| 1017 | D12 | — | 42 | 4 | no | — |
| 1018 | C4×D3 | — | 3 | 4 | no | — |
| 1019 | C4×D3 | — | 3 | 4 | no | — |
| 1020 | C4×D3 | — | 7 | 4 | no | — |
| 1021 | C4×D3 | — | 7 | 4 | no | — |
| 1022 | C4×D3 | — | 21 | 4 | no | — |
| 1023 | C4×D3 | — | 21 | 4 | no | — |
| 1024 | C4×D3 | — | 21 | 4 | no | — |
| 1025 | C4×D3 | — | 21 | 4 | no | — |
| 1026 | C4×D3 | — | 21 | 4 | no | — |
| 1027 | C4×D3 | — | 21 | 4 | no | — |
| 1028 | C4×D3 | — | 21 | 4 | no | — |
| 1029 | C4×D3 | — | 21 | 4 | no | — |
| 1030 | C4×D3 | — | 42 | 2 | no | — |
| 1031 | C4×D3 | — | 42 | 2 | no | — |
| 1032 | Dic6 | — | 3 | 4 | no | — |
| 1033 | Dic6 | — | 7 | 4 | no | — |
| 1034 | Dic6 | — | 21 | 4 | no | — |
| 1035 | C3×C7 | — | 2 | 1 | no | — |
| 1036 | C3×C7 | D3×H(5,𝔽2) | 1 | 2 | yes | complemented |
| 1037 | C2×C32 | — | 2 | 1 | no | — |
| 1038 | C2×C32 | — | 2 | 2 | no | — |
| 1039 | C2×C32 | — | 14 | 2 | no | — |
| 1040 | C2×C32 | C24×D7 | 1 | 1 | yes | characteristic |
| 1041 | C3⋊D3 | — | 2 | 2 | no | — |
| 1042 | C3⋊D3 | — | 7 | 2 | no | — |
| 1043 | C3⋊D3 | — | 14 | 1 | no | — |
| 1044 | C3⋊D3 | — | 14 | 2 | no | — |
| 1045 | C3×D3 | — | 2 | 4 | no | — |
| 1046 | C3×D3 | — | 14 | 4 | no | — |
| 1047 | C24 | — | 63 | 2 | no | — |
| 1048 | C24 | — | 63 | 1 | no | — |
| 1049 | C24 | — | 63 | 2 | no | — |
| 1050 | C24 | — | 63 | 1 | no | — |
| 1051 | #41 | — | 9 | 4 | no | — |
| 1052 | #41 | — | 9 | 2 | no | — |
| 1053 | #41 | — | 21 | 4 | no | — |
| 1054 | #41 | — | 21 | 4 | no | — |
| 1055 | #41 | — | 21 | 4 | no | — |
| 1056 | #41 | — | 63 | 4 | no | — |
| 1057 | #41 | — | 63 | 4 | no | — |
| 1058 | #41 | — | 63 | 2 | no | — |
| 1059 | #41 | — | 63 | 4 | no | — |
| 1060 | #41 | — | 63 | 2 | no | — |
| 1061 | #41 | — | 63 | 2 | no | — |
| 1062 | #41 | — | 63 | 4 | no | — |
| 1063 | #41 | — | 63 | 4 | no | — |
| 1064 | #41 | — | 63 | 4 | no | — |
| 1065 | C2×Q8 | — | 63 | 2 | no | — |
| 1066 | C2×D4 | — | 3 | 2 | no | — |
| 1067 | C2×D4 | — | 7 | 1 | no | — |
| 1068 | C2×D4 | — | 9 | 2 | no | — |
| 1069 | C2×D4 | — | 9 | 4 | no | — |
| 1070 | C2×D4 | — | 9 | 1 | no | — |
| 1071 | C2×D4 | — | 21 | 4 | no | — |
| 1072 | C2×D4 | — | 21 | 4 | no | — |
| 1073 | C2×D4 | — | 21 | 4 | no | — |
| 1074 | C2×D4 | — | 21 | 2 | no | — |
| 1075 | C2×D4 | — | 63 | 2 | no | — |
| 1076 | C2×D4 | — | 63 | 1 | no | — |
| 1077 | C2×D4 | — | 63 | 2 | no | — |
| 1078 | C2×D4 | — | 63 | 4 | no | — |
| 1079 | C2×D4 | — | 63 | 1 | no | — |
| 1080 | C2×D4 | — | 63 | 4 | no | — |
| 1081 | C2×D4 | — | 63 | 4 | no | — |
| 1082 | C2×D4 | — | 63 | 4 | no | — |
| 1083 | C2×D4 | — | 63 | 2 | no | — |
| 1084 | C2×D4 | — | 63 | 4 | no | — |
| 1085 | C2×D4 | — | 63 | 4 | no | — |
| 1086 | C2×D4 | — | 63 | 4 | no | — |
| 1087 | C2×D4 | — | 63 | 4 | no | — |
| 1088 | C2×D4 | — | 63 | 4 | no | — |
| 1089 | C2×D4 | — | 63 | 4 | no | — |
| 1090 | C2×D4 | — | 63 | 4 | no | — |
| 1091 | C2×D4 | — | 63 | 2 | no | — |
| 1092 | C2×D4 | — | 63 | 4 | no | — |
| 1093 | C2×D4 | — | 63 | 4 | no | — |
| 1094 | C2×D4 | — | 63 | 2 | no | — |
| 1095 | C2×D4 | — | 63 | 2 | no | — |
| 1096 | C22×C4 | — | 63 | 2 | no | — |
| 1097 | C22×C4 | — | 63 | 1 | no | — |
| 1098 | C22×C4 | — | 63 | 2 | no | — |
| 1099 | C22×C4 | — | 63 | 4 | no | — |
| 1100 | C2×C7 | — | 2 | 1 | no | — |
| 1101 | C2×C7 | — | 2 | 2 | no | — |
| 1102 | C2×C7 | — | 6 | 4 | no | — |
| 1103 | C2×C7 | — | 18 | 2 | no | — |
| 1104 | C2×C7 | C23×D32 | 1 | 1 | yes | characteristic |
| 1105 | D7 | — | 2 | 2 | no | — |
| 1106 | D7 | — | 6 | 4 | no | — |
| 1107 | D7 | — | 9 | 2 | no | — |
| 1108 | D7 | — | 18 | 1 | no | — |
| 1109 | D7 | — | 18 | 2 | no | — |
| 1110 | C22×C3 | — | 2 | 1 | no | — |
| 1111 | C22×C3 | — | 2 | 2 | no | — |
| 1112 | C22×C3 | — | 3 | 4 | no | — |
| 1113 | C22×C3 | — | 4 | 2 | no | — |
| 1114 | C22×C3 | — | 4 | 1 | no | — |
| 1115 | C22×C3 | — | 4 | 1 | no | — |
| 1116 | C22×C3 | — | 7 | 4 | no | — |
| 1117 | C22×C3 | — | 12 | 2 | no | — |
| 1118 | C22×C3 | — | 14 | 2 | no | — |
| 1119 | C22×C3 | — | 21 | 4 | no | — |
| 1120 | C22×C3 | — | 28 | 2 | no | — |
| 1121 | C22×C3 | — | 28 | 1 | no | — |
| 1122 | C22×C3 | — | 28 | 1 | no | — |
| 1123 | C22×C3 | — | 84 | 2 | no | — |
| 1124 | C22×C3 | — | 84 | 4 | no | — |
| 1125 | C22×C3 | C22×D3×D7 | 1 | 2 | yes | — |
| 1126 | C22×C3 | C22×D3×D7 | 1 | 2 | yes | — |
| 1127 | C22×C3 | C22×D3×D7 | 1 | 2 | yes | — |
| 1128 | C2×D3 | — | 3 | 4 | no | — |
| 1129 | C2×D3 | — | 4 | 2 | no | — |
| 1130 | C2×D3 | — | 6 | 2 | no | — |
| 1131 | C2×D3 | — | 7 | 4 | no | — |
| 1132 | C2×D3 | — | 12 | 4 | no | — |
| 1133 | C2×D3 | — | 12 | 2 | no | — |
| 1134 | C2×D3 | — | 12 | 1 | no | — |
| 1135 | C2×D3 | — | 12 | 1 | no | — |
| 1136 | C2×D3 | — | 21 | 2 | no | — |
| 1137 | C2×D3 | — | 21 | 2 | no | — |
| 1138 | C2×D3 | — | 21 | 2 | no | — |
| 1139 | C2×D3 | — | 21 | 2 | no | — |
| 1140 | C2×D3 | — | 28 | 4 | no | — |
| 1141 | C2×D3 | — | 28 | 2 | no | — |
| 1142 | C2×D3 | — | 42 | 1 | no | — |
| 1143 | C2×D3 | — | 42 | 1 | no | — |
| 1144 | C2×D3 | — | 42 | 2 | no | — |
| 1145 | C2×D3 | — | 42 | 8 | no | — |
| 1146 | C2×D3 | — | 42 | 8 | no | — |
| 1147 | C2×D3 | — | 42 | 8 | no | — |
| 1148 | C2×D3 | — | 42 | 4 | no | — |
| 1149 | C2×D3 | — | 42 | 4 | no | — |
| 1150 | C2×D3 | — | 42 | 4 | no | — |
| 1151 | C2×D3 | — | 42 | 2 | no | — |
| 1152 | C2×D3 | — | 42 | 2 | no | — |
| 1153 | C2×D3 | — | 84 | 4 | no | — |
| 1154 | C2×D3 | — | 84 | 4 | no | — |
| 1155 | C2×D3 | — | 84 | 4 | no | — |
| 1156 | C2×D3 | — | 84 | 4 | no | — |
| 1157 | C2×D3 | — | 84 | 4 | no | — |
| 1158 | C2×D3 | — | 84 | 2 | no | — |
| 1159 | C2×D3 | — | 84 | 2 | no | — |
| 1160 | C2×D3 | — | 84 | 4 | no | — |
| 1161 | C2×D3 | — | 84 | 2 | no | — |
| 1162 | C2×D3 | — | 84 | 2 | no | — |
| 1163 | C2×D3 | — | 84 | 2 | no | — |
| 1164 | C2×D3 | — | 84 | 2 | no | — |
| 1165 | C2×D3 | — | 84 | 2 | no | — |
| 1166 | C2×D3 | — | 84 | 1 | no | — |
| 1167 | C2×D3 | — | 84 | 1 | no | — |
| 1168 | C2×D3 | C22×D3×D7 | 1 | 4 | yes | — |
| 1169 | C3×C4 | — | 3 | 4 | no | — |
| 1170 | C3×C4 | — | 7 | 4 | no | — |
| 1171 | C3×C4 | — | 14 | 2 | no | — |
| 1172 | C3×C4 | — | 21 | 4 | no | — |
| 1173 | Dic3 | — | 3 | 4 | no | — |
| 1174 | Dic3 | — | 6 | 2 | no | — |
| 1175 | Dic3 | — | 7 | 4 | no | — |
| 1176 | Dic3 | C22×D3×D7 | 1 | 4 | yes | — |
| 1177 | C32 | D7×H(5,𝔽2) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1178 | C23 | — | 3 | 2 | no | — |
| 1179 | C23 | — | 7 | 1 | no | — |
| 1180 | C23 | — | 9 | 2 | no | — |
| 1181 | C23 | — | 9 | 1 | no | — |
| 1182 | C23 | — | 21 | 4 | no | — |
| 1183 | C23 | — | 21 | 2 | no | — |
| 1184 | C23 | — | 63 | 4 | no | — |
| 1185 | C23 | — | 63 | 4 | no | — |
| 1186 | C23 | — | 63 | 2 | no | — |
| 1187 | C23 | — | 63 | 2 | no | — |
| 1188 | C23 | — | 63 | 2 | no | — |
| 1189 | C23 | — | 63 | 1 | no | — |
| 1190 | C23 | — | 63 | 2 | no | — |
| 1191 | C23 | — | 63 | 2 | no | — |
| 1192 | C23 | — | 63 | 1 | no | — |
| 1193 | C23 | — | 252 | 2 | no | — |
| 1194 | C23 | — | 252 | 4 | no | — |
| 1195 | C23 | — | 252 | 2 | no | — |
| 1196 | C23 | — | 252 | 4 | no | — |
| 1197 | C23 | D32×D7 | 1 | 1 | yes | characteristic, complemented |
| 1198 | Q8 | — | 9 | 2 | no | — |
| 1199 | Q8 | — | 21 | 4 | no | — |
| 1200 | Q8 | — | 63 | 2 | no | — |
| 1201 | D4 | — | 3 | 4 | no | — |
| 1202 | D4 | — | 3 | 4 | no | — |
| 1203 | D4 | — | 7 | 4 | no | — |
| 1204 | D4 | — | 9 | 4 | no | — |
| 1205 | D4 | — | 9 | 2 | no | — |
| 1206 | D4 | — | 9 | 4 | no | — |
| 1207 | D4 | — | 21 | 4 | no | — |
| 1208 | D4 | — | 21 | 4 | no | — |
| 1209 | D4 | — | 21 | 4 | no | — |
| 1210 | D4 | — | 21 | 4 | no | — |
| 1211 | D4 | — | 21 | 4 | no | — |
| 1212 | D4 | — | 63 | 4 | no | — |
| 1213 | D4 | — | 63 | 4 | no | — |
| 1214 | D4 | — | 63 | 4 | no | — |
| 1215 | D4 | — | 63 | 4 | no | — |
| 1216 | D4 | — | 63 | 2 | no | — |
| 1217 | D4 | — | 63 | 4 | no | — |
| 1218 | D4 | — | 63 | 4 | no | — |
| 1219 | D4 | — | 63 | 4 | no | — |
| 1220 | C2×C4 | — | 3 | 2 | no | — |
| 1221 | C2×C4 | — | 7 | 1 | no | — |
| 1222 | C2×C4 | — | 9 | 2 | no | — |
| 1223 | C2×C4 | — | 9 | 4 | no | — |
| 1224 | C2×C4 | — | 9 | 1 | no | — |
| 1225 | C2×C4 | — | 21 | 4 | no | — |
| 1226 | C2×C4 | — | 21 | 4 | no | — |
| 1227 | C2×C4 | — | 21 | 4 | no | — |
| 1228 | C2×C4 | — | 21 | 2 | no | — |
| 1229 | C2×C4 | — | 63 | 4 | no | — |
| 1230 | C2×C4 | — | 63 | 4 | no | — |
| 1231 | C2×C4 | — | 63 | 2 | no | — |
| 1232 | C2×C4 | — | 63 | 2 | no | — |
| 1233 | C2×C4 | — | 63 | 4 | no | — |
| 1234 | C2×C4 | — | 63 | 2 | no | — |
| 1235 | C7 | #10596675 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1236 | C2×C3 | — | 2 | 1 | no | — |
| 1237 | C2×C3 | — | 2 | 1 | no | — |
| 1238 | C2×C3 | — | 2 | 2 | no | — |
| 1239 | C2×C3 | — | 2 | 2 | no | — |
| 1240 | C2×C3 | — | 2 | 2 | no | — |
| 1241 | C2×C3 | — | 2 | 1 | no | — |
| 1242 | C2×C3 | — | 4 | 2 | no | — |
| 1243 | C2×C3 | — | 6 | 4 | no | — |
| 1244 | C2×C3 | — | 14 | 4 | no | — |
| 1245 | C2×C3 | — | 28 | 2 | no | — |
| 1246 | C2×C3 | — | 42 | 4 | no | — |
| 1247 | C2×C3 | C23×D3×D7 | 1 | 2 | yes | — |
| 1248 | D3 | — | 2 | 4 | no | — |
| 1249 | D3 | — | 6 | 4 | no | — |
| 1250 | D3 | — | 12 | 2 | no | — |
| 1251 | D3 | — | 14 | 4 | no | — |
| 1252 | D3 | — | 21 | 4 | no | — |
| 1253 | D3 | — | 42 | 2 | no | — |
| 1254 | D3 | — | 42 | 1 | no | — |
| 1255 | D3 | — | 42 | 1 | no | — |
| 1256 | D3 | — | 42 | 2 | no | — |
| 1257 | D3 | — | 42 | 2 | no | — |
| 1258 | D3 | — | 42 | 2 | no | — |
| 1259 | D3 | — | 84 | 2 | no | — |
| 1260 | C22 | — | 3 | 4 | no | — |
| 1261 | C22 | — | 4 | 1 | no | — |
| 1262 | C22 | — | 7 | 2 | no | — |
| 1263 | C22 | — | 9 | 2 | no | — |
| 1264 | C22 | — | 12 | 2 | no | — |
| 1265 | C22 | — | 21 | 4 | no | — |
| 1266 | C22 | — | 28 | 1 | no | — |
| 1267 | C22 | — | 36 | 1 | no | — |
| 1268 | C22 | — | 36 | 2 | no | — |
| 1269 | C22 | — | 63 | 1 | no | — |
| 1270 | C22 | — | 63 | 1 | no | — |
| 1271 | C22 | — | 63 | 2 | no | — |
| 1272 | C22 | — | 84 | 2 | no | — |
| 1273 | C22 | — | 84 | 4 | no | — |
| 1274 | C22 | — | 126 | 2 | no | — |
| 1275 | C22 | — | 126 | 4 | no | — |
| 1276 | C22 | — | 126 | 8 | no | — |
| 1277 | C22 | — | 126 | 4 | no | — |
| 1278 | C22 | — | 252 | 2 | no | — |
| 1279 | C22 | — | 252 | 1 | no | — |
| 1280 | C22 | — | 252 | 4 | no | — |
| 1281 | C22 | — | 252 | 2 | no | — |
| 1282 | C22 | — | 252 | 2 | no | — |
| 1283 | C22 | C2×D32×D7 | 1 | 2 | yes | — |
| 1284 | C22 | C2×D32×D7 | 1 | 1 | yes | characteristic |
| 1285 | C4 | — | 3 | 4 | no | — |
| 1286 | C4 | — | 7 | 2 | no | — |
| 1287 | C4 | — | 9 | 2 | no | — |
| 1288 | C4 | — | 21 | 4 | no | — |
| 1289 | C3 | — | 2 | 1 | no | — |
| 1290 | C3 | #13062244 | 1 | 2 | yes | complemented |
| 1291 | C2 | — | 2 | 2 | no | — |
| 1292 | C2 | — | 2 | 1 | no | — |
| 1293 | C2 | — | 6 | 4 | no | — |
| 1294 | C2 | — | 14 | 2 | no | — |
| 1295 | C2 | — | 18 | 2 | no | — |
| 1296 | C2 | — | 42 | 4 | no | — |
| 1297 | C2 | — | 63 | 2 | no | — |
| 1298 | C2 | — | 126 | 1 | no | — |
| 1299 | C2 | — | 126 | 2 | no | — |
| 1300 | C2 | C22×D32×D7 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C22×D32×D7 |
| commutator, socle, cosocle | C2×C32×C7 | C25 |
| Fitting | C23×C32×C7 | C23 |
| hypercenter | C23 | D32×D7 |
| hypocenter | C32×C7 | C2×H(5,𝔽2) |
| LCS | G ▷ C2×C32×C7 ▷ C32×C7 | |
| UCS | C1 ◁ C2 ◁ C23 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72246722 | C2 | semidirect |
| 2. C3×#10621596 | C2 | semidirect |
| 3. #72246706 | C2 | semidirect |
| 4. #72246694 | C2 | semidirect |
| 5. #72246682 | C2 | semidirect |
| 6. #72246645 | C2 | semidirect |
| 7. C7×#64330 | C2 | semidirect |
| 8. D3×#66694 | C2 | semidirect |
| 9. #72246580 | C2 | semidirect |
| 10. C2×#11759626 | C2 | semidirect |
| 11. #72245765 | C2 | semidirect |
| 12. C2×#11759581 | C2 | semidirect |
| 13. D7×#3811 | C2 | semidirect |
| 15. C23×C3⋊D21 | C22 | semidirect |
| 16. C22×D3×D21 | C22 | semidirect |
| 17. C22×D7×C3⋊D3 | C22 | semidirect |
| 18. C2×D32×D7 | C22 | semidirect |
| 19. C2×C7×#638 | C22 | semidirect |
| 20. C2×C3×#4268 | C22 | semidirect |
| 21. C2×C3×C7×#67 | C22 | semidirect |
| 22. C2×C32×C22⋊D7 | C22 | semidirect |
| 23. #11759644 | C22 | semidirect |
| 24. #11759643 | C22 | semidirect |
| 25. #11759638 | C22 | semidirect |
| 26. #11759637 | C22 | semidirect |
| 27. #11759626 | C22 | semidirect |
| 28. #11759626 | C22 | semidirect |
| 29. #11759626 | C22 | semidirect |
| 30. #11759626 | C22 | semidirect |
| 31. C2×#92690 | C22 | semidirect |
| 32. C2×#92689 | C22 | semidirect |
| 33. C2×#92687 | C22 | semidirect |
| 34. C7×#3811 | C22 | semidirect |
| 35. D3×C7×#67 | C22 | semidirect |
| 36. C7×#3805 | C22 | semidirect |
| 37. C7×#3804 | C22 | semidirect |
| 38. #11759581 | C22 | semidirect |
| 39. #11759581 | C22 | semidirect |
| 40. C2×#92678 | C22 | semidirect |
| 41. C2×#92677 | C22 | semidirect |
| 42. C2×#92675 | C22 | semidirect |
| 43. C3×#66694 | C22 | semidirect |
| 44. C3×D3×C22⋊D7 | C22 | semidirect |
| 45. C3×D7×#67 | C22 | semidirect |
| 46. C3×#66686 | C22 | semidirect |
| 47. C3×#66684 | C22 | semidirect |
| 48. C3×#66683 | C22 | semidirect |
| 49. #11759452 | C22 | semidirect |
| 50. #11759451 | C22 | semidirect |
| 51. #11759449 | C22 | semidirect |
| 52. #11759448 | C22 | semidirect |
| 53. #11759445 | C22 | semidirect |
| 54. #11759441 | C22 | semidirect |
| 55. #11759438 | C22 | semidirect |
| 56. #11759437 | C22 | semidirect |
| 57. #11759432 | C22 | semidirect |
| 58. #11759430 | C22 | semidirect |
| 59. D3×#4247 | C22 | semidirect |
| 60. #11759428 | C22 | semidirect |
| 61. #11759427 | C22 | semidirect |
| 62. #11759426 | C22 | semidirect |
| 63. #11759424 | C22 | semidirect |
| 64. D3×#4246 | C22 | semidirect |
| 65. D7×#626 | C22 | semidirect |
| 66. D3×D21⋊C4 | C22 | semidirect |
| 67. D7×#624 | C22 | semidirect |
| 73. #10621596 | D3 | semidirect |
| 89. C23×C32×C7 | C23 | semidirect |
| 93. C22×C3⋊D21 | C23 | semidirect |
| 94. C22×C3⋊D21 | C23 | semidirect |
| 95. C22×C7×C3⋊D3 | C23 | semidirect |
| 96. C22×C3×D21 | C23 | semidirect |
| 97. C22×C3×D3×C7 | C23 | semidirect |
| 98. C22×C32×D7 | C23 | semidirect |
| 99. C2×(C3⋊D3)⋊D7 | C23 | semidirect |
| 102. C2×D3×D21 | C23 | semidirect |
| 103. C2×D32×C7 | C23 | semidirect |
| 106. C2×D7×C3⋊D3 | C23 | semidirect |
| 107. C2×C3×D3×D7 | C23 | semidirect |
| 109. C7×#638 | C23 | semidirect |
| 110. C2×C7×C3⋊Dic3 | C23 | semidirect |
| 111. C3×#4268 | C23 | semidirect |
| 112. C3×#4268 | C23 | semidirect |
| 113. C2×C3×Dic21 | C23 | semidirect |
| 114. C3×C7×#67 | C23 | semidirect |
| 115. C3×C7×#67 | C23 | semidirect |
| 116. C2×C3×C7×Dic3 | C23 | semidirect |
| 117. C32×C22⋊D7 | C23 | semidirect |
| 118. C2×C32×Dic7 | C23 | semidirect |
| 119. #92696 | C23 | semidirect |
| 120. #92695 | C23 | semidirect |
| 121. #92694 | C23 | semidirect |
| 122. #92693 | C23 | semidirect |
| 123. D21⋊Dic3 | C23 | semidirect |
| 124. #92690 | C23 | semidirect |
| 125. #92690 | C23 | semidirect |
| 126. #92689 | C23 | semidirect |
| 127. #92689 | C23 | semidirect |
| 129. #92687 | C23 | semidirect |
| 130. C7×#627 | C23 | semidirect |
| 131. C7×#626 | C23 | semidirect |
| 132. C7×#625 | C23 | semidirect |
| 133. C7×#624 | C23 | semidirect |
| 134. D3×C7×Dic3 | C23 | semidirect |
| 135. #92678 | C23 | semidirect |
| 136. #92677 | C23 | semidirect |
| 138. #92675 | C23 | semidirect |
| 139. C3×#4248 | C23 | semidirect |
| 140. C3×#4247 | C23 | semidirect |
| 141. C3×#4246 | C23 | semidirect |
| 142. C3×#4245 | C23 | semidirect |
| 143. C3×D21⋊C4 | C23 | semidirect |
| 144. C3×D3×Dic7 | C23 | semidirect |
| 145. C3×Dic3×D7 | C23 | semidirect |
| 156. C2×#4268 | C2×D3 | semidirect |
| 166. C2×C7×#67 | C2×D3 | semidirect |
| 175. C2×C3×C22⋊D7 | C2×D3 | semidirect |
| 196. #66694 | C2×D3 | semidirect |
| 200. D3×C22⋊D7 | C2×D3 | semidirect |
| 204. D7×#67 | C2×D3 | semidirect |
| 220. #66686 | C2×D3 | semidirect |
| 222. #66684 | C2×D3 | semidirect |
| 226. #66683 | C2×D3 | semidirect |
| 247. #64330 | D7 | semidirect |
| 301. C23×C3×C7 | C22×D3 | semidirect |
| 318. C22×D21 | C22×D3 | semidirect |
| 322. C22×D3×C7 | C22×D3 | semidirect |
| 326. C22×C3×D7 | C22×D3 | semidirect |
| 339. C2×D3×D7 | C22×D3 | semidirect |
| 345. #4268 | C22×D3 | semidirect |
| 346. #4268 | C22×D3 | semidirect |
| 347. C2×Dic21 | C22×D3 | semidirect |
| 357. C7×#67 | C22×D3 | semidirect |
| 358. C7×#67 | C22×D3 | semidirect |
| 362. C2×C7×Dic3 | C22×D3 | semidirect |
| 372. C3×C22⋊D7 | C22×D3 | semidirect |
| 373. C3×C22⋊D7 | C22×D3 | semidirect |
| 377. C2×C3×Dic7 | C22×D3 | semidirect |
| 383. #4248 | C22×D3 | semidirect |
| 390. #4247 | C22×D3 | semidirect |
| 397. #4246 | C22×D3 | semidirect |
| 399. #4245 | C22×D3 | semidirect |
| 407. D21⋊C4 | C22×D3 | semidirect |
| 409. D3×Dic7 | C22×D3 | semidirect |
| 411. Dic3×D7 | C22×D3 | semidirect |
| 418. C2×#638 | C2×D7 | semidirect |
| 425. C2×C3×#67 | C2×D7 | semidirect |
| 439. #3811 | C2×D7 | semidirect |
| 443. D3×#67 | C2×D7 | semidirect |
| 450. #3805 | C2×D7 | semidirect |
| 454. #3804 | C2×D7 | semidirect |
| 470. C3⋊D21 | H(5,𝔽2) | semidirect |
| 492. C2×C22⋊D7 | D32 | semidirect |
| 616. C23×C32 | C22×D7 | semidirect |
| 625. C22×C3⋊D3 | C22×D7 | semidirect |
| 628. C22×C3×D3 | C22×D7 | semidirect |
| 634. C2×D32 | C22×D7 | semidirect |
| 638. #638 | C22×D7 | semidirect |
| 639. C2×C3⋊Dic3 | C22×D7 | semidirect |
| 647. C3×#67 | C22×D7 | semidirect |
| 648. C3×#67 | C22×D7 | semidirect |
| 651. C2×C3×Dic3 | C22×D7 | semidirect |
| 657. #627 | C22×D7 | semidirect |
| 663. #626 | C22×D7 | semidirect |
| 665. #625 | C22×D7 | semidirect |
| 669. #624 | C22×D7 | semidirect |
| 671. D3×Dic3 | C22×D7 | semidirect |
| 673. C32×C7 | C2×H(5,𝔽2) | semidirect |
| 677. C23×C7 | C2×D32 | semidirect |
| 693. C22×D7 | C2×D32 | semidirect |
| 712. C22⋊D7 | C2×D32 | semidirect |
| 716. C2×Dic7 | C2×D32 | semidirect |
| 761. C2×#67 | D3×D7 | semidirect |
| 928. C23×C3 | C2×D3×D7 | semidirect |
| 962. C22×D3 | C2×D3×D7 | semidirect |
| 999. #67 | C2×D3×D7 | semidirect |
| 1000. #67 | C2×D3×D7 | semidirect |
| 1007. C2×Dic3 | C2×D3×D7 | semidirect |
| 1036. C3×C7 | D3×H(5,𝔽2) | semidirect |
| 1177. C32 | D7×H(5,𝔽2) | semidirect |
| 1197. C23 | D32×D7 | semidirect |
| 1235. C7 | #10596675 | semidirect |
| 1290. C3 | #13062244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72246722 | 2 |
| C3×#10621596 | 2 |
| #72246706 | 2 |
| #72246694 | 2 |
| #72246682 | 2 |
| #72246645 | 2 |
| C7×#64330 | 2 |
| D3×#66694 | 2 |
| #72246580 | 2 |
| C2×#11759626 | 2 |
| #72245765 | 2 |
| C2×#11759581 | 2 |
| D7×#3811 | 2 |
| #13062244 | 3 |
| #10596675 | 7 |