Finite Group DatabasebetaFinite Group DatabasebetaOrder 4032.
1428 conjugacy classes of subgroups.
The subgroup lattice has 908 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72245845 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72245843 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72245842 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#10621053 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72245821 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72245820 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72245803 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C7×#63930 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72245742 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72245718 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D4×D7×C3⋊D3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D3×#6477 | — | 3 | 2 | no | maximal |
| 13 | C22×D7×C3⋊D3 | — | 2 | 1 | no | — |
| 14 | D4×C3⋊D21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C7×D4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 16 | C32×D4×D7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #11759635 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #11759602 | C22 | 1 | 2 | yes | complemented |
| 19 | C7×#3797 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #11759581 | — | 2 | 1 | no | — |
| 21 | C3⋊D3×C22⋊D7 | — | 2 | 1 | no | — |
| 22 | D7×#638 | — | 2 | 1 | no | — |
| 23 | #11759568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C3⋊D3×D28 | C22 | 1 | 1 | yes | characteristic |
| 25 | D7×C4⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C4×D7×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#66677 | C22 | 1 | 2 | yes | complemented |
| 28 | #11759449 | — | 2 | 1 | no | — |
| 29 | #11759444 | — | 2 | 1 | no | — |
| 30 | #11759428 | — | 2 | 1 | no | — |
| 31 | #11759419 | — | 2 | 1 | no | — |
| 32 | C3×#66632 | C22 | 1 | 2 | yes | complemented |
| 33 | C3×C7×#214 | C22 | 1 | 2 | yes | complemented |
| 34 | #11759217 | C22 | 1 | 2 | yes | complemented |
| 35 | #11759214 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #11759202 | C22 | 1 | 2 | yes | complemented |
| 37 | #11759195 | C22 | 1 | 2 | yes | complemented |
| 38 | #11759193 | C22 | 1 | 2 | yes | complemented |
| 39 | C7×#3717 | C22 | 1 | 2 | yes | complemented |
| 40 | C7×#3710 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C3×#66563 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×#66561 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#66557 | C22 | 1 | 2 | yes | complemented |
| 44 | D3×#1161 | — | 3 | 2 | no | — |
| 45 | D3×D4×D7 | — | 3 | 2 | no | — |
| 46 | D3×D4×D7 | — | 6 | 1 | no | — |
| 47 | #10621397 | — | 3 | 2 | no | — |
| 48 | D3×C7×SD16 | — | 3 | 2 | no | — |
| 49 | C3×#6477 | — | 3 | 2 | no | — |
| 50 | #10621068 | — | 3 | 2 | no | — |
| 51 | D3×#1143 | — | 3 | 2 | no | — |
| 52 | #10621064 | — | 3 | 2 | no | — |
| 53 | #10621060 | — | 3 | 2 | no | — |
| 54 | #10621053 | D3 | 1 | 2 | yes | complemented |
| 55 | D3×#1141 | — | 3 | 2 | no | — |
| 56 | #10620820 | — | 3 | 2 | no | — |
| 57 | D3×D56 | — | 3 | 2 | no | — |
| 58 | #10620811 | — | 3 | 2 | no | — |
| 59 | D3×#1131 | — | 3 | 2 | no | — |
| 60 | #10595100 | — | 7 | 1 | no | maximal, Hall |
| 61 | C22×C3⋊D21 | — | 2 | 1 | no | — |
| 62 | C22×C7×C3⋊D3 | — | 2 | 1 | no | — |
| 63 | C22×C32×D7 | — | 2 | 1 | no | — |
| 64 | C2×(C3⋊D3)⋊D7 | — | 2 | 1 | no | — |
| 65 | C2×D7×C3⋊D3 | — | 2 | 1 | no | — |
| 66 | C2×D7×C3⋊D3 | — | 2 | 1 | no | — |
| 67 | C2×D7×C3⋊D3 | — | 2 | 1 | no | — |
| 68 | C2×D7×C3⋊D3 | — | 4 | 4 | no | — |
| 69 | C2×D7×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 70 | C32×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 71 | #92726 | — | 2 | 1 | no | — |
| 72 | C4⋊(C3⋊D21) | C23 | 1 | 1 | yes | characteristic |
| 73 | C4×C3⋊D21 | C23 | 1 | 1 | yes | characteristic |
| 74 | C7×#638 | — | 2 | 1 | no | — |
| 75 | C7×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 76 | C4×C7×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 77 | C3×D84 | C23 | 1 | 2 | yes | complemented |
| 78 | C3×C7×Dic6 | C23 | 1 | 2 | yes | complemented |
| 79 | C32×C22⋊D7 | — | 2 | 1 | no | — |
| 80 | C32×D28 | C23 | 1 | 1 | yes | characteristic |
| 81 | C32×C4×D7 | C23 | 1 | 1 | yes | characteristic |
| 82 | #92695 | — | 2 | 1 | no | — |
| 83 | #92689 | — | 2 | 2 | no | — |
| 84 | Dic3×D21 | — | 2 | 2 | no | — |
| 85 | C7×#627 | — | 2 | 1 | no | — |
| 86 | C7×#624 | — | 2 | 1 | no | — |
| 87 | #92678 | — | 2 | 1 | no | — |
| 88 | #92677 | — | 2 | 1 | no | — |
| 89 | #92676 | — | 2 | 1 | no | — |
| 90 | #92675 | D4 | 1 | 1 | yes | characteristic |
| 91 | C3⋊D3×Dic7 | D4 | 1 | 1 | yes | characteristic |
| 92 | D7×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 93 | C3×#4246 | — | 2 | 2 | no | — |
| 94 | C3×D21⋊C4 | — | 2 | 2 | no | — |
| 95 | C3×C3⋊(C7⋊C8) | C23 | 1 | 2 | yes | complemented |
| 96 | C3×C7×C3⋊C8 | C23 | 1 | 2 | yes | complemented |
| 97 | C2×#6477 | — | 9 | 1 | no | Hall |
| 98 | C22×D3×D7 | — | 6 | 2 | no | — |
| 99 | C22×D3×D7 | — | 6 | 1 | no | — |
| 100 | C22×D3×D7 | — | 6 | 1 | no | — |
| 101 | #66732 | — | 3 | 2 | no | — |
| 102 | D4×D21 | — | 3 | 2 | no | — |
| 103 | D4×D21 | — | 6 | 1 | no | — |
| 104 | D3×C7×Q8 | — | 3 | 2 | no | — |
| 105 | D3×C7×D4 | — | 3 | 2 | no | — |
| 106 | D3×C7×D4 | — | 6 | 1 | no | — |
| 107 | C3×#1161 | — | 3 | 2 | no | — |
| 108 | C3×D4×D7 | — | 2 | 1 | no | — |
| 109 | C3×D4×D7 | C2×D3 | 1 | 2 | yes | complemented |
| 110 | #66694 | — | 6 | 2 | no | — |
| 111 | #66694 | — | 6 | 1 | no | — |
| 112 | #66694 | — | 6 | 1 | no | — |
| 113 | D3×C22⋊D7 | — | 6 | 2 | no | — |
| 114 | D3×C22⋊D7 | — | 6 | 1 | no | — |
| 115 | D3×C22⋊D7 | — | 6 | 1 | no | — |
| 116 | D7×#67 | — | 6 | 2 | no | — |
| 117 | D7×#67 | — | 6 | 1 | no | — |
| 118 | D7×#67 | — | 6 | 1 | no | — |
| 119 | #66681 | — | 3 | 2 | no | — |
| 120 | #66681 | — | 6 | 1 | no | — |
| 121 | D3×D28 | — | 3 | 2 | no | — |
| 122 | D3×D28 | — | 3 | 2 | no | — |
| 123 | D3×D28 | — | 6 | 1 | no | — |
| 124 | D3×D28 | — | 6 | 2 | no | — |
| 125 | D7×D12 | — | 3 | 2 | no | — |
| 126 | D7×D12 | — | 6 | 1 | no | — |
| 127 | C4×D3×D7 | — | 3 | 2 | no | — |
| 128 | C4×D3×D7 | — | 6 | 1 | no | — |
| 129 | C4×D3×D7 | — | 6 | 2 | no | — |
| 130 | #66677 | — | 6 | 2 | no | — |
| 131 | #66677 | C2×D3 | 1 | 2 | yes | complemented |
| 132 | #66670 | — | 3 | 2 | no | — |
| 133 | #66670 | — | 6 | 2 | no | — |
| 134 | C3×C7×SD16 | — | 3 | 2 | no | — |
| 135 | #66634 | — | 3 | 2 | no | — |
| 136 | #66632 | C2×D3 | 1 | 2 | yes | complemented |
| 137 | D168 | — | 3 | 2 | no | — |
| 138 | #66622 | — | 3 | 2 | no | — |
| 139 | C7×#215 | — | 3 | 2 | no | — |
| 140 | C7×#214 | C2×D3 | 1 | 2 | yes | complemented |
| 141 | C7×#204 | — | 3 | 2 | no | — |
| 142 | D3×C7×C8 | — | 3 | 2 | no | — |
| 143 | C3×#1143 | — | 3 | 2 | no | — |
| 144 | C3×#1141 | — | 3 | 2 | no | — |
| 145 | C3×D56 | — | 3 | 2 | no | — |
| 146 | C3×#1131 | — | 3 | 2 | no | — |
| 147 | #66568 | — | 3 | 2 | no | — |
| 148 | #66563 | C2×D3 | 1 | 2 | yes | complemented |
| 149 | #66562 | — | 3 | 2 | no | — |
| 150 | #66561 | — | 3 | 2 | no | — |
| 151 | #66561 | C2×D3 | 1 | 2 | yes | complemented |
| 152 | #66560 | — | 3 | 2 | no | — |
| 153 | #66559 | — | 3 | 2 | no | — |
| 154 | #66557 | C2×D3 | 1 | 2 | yes | complemented |
| 155 | D3×C7⋊C8 | — | 3 | 2 | no | — |
| 156 | C2×D4×C3⋊D3 | — | 7 | 1 | no | — |
| 157 | #64306 | — | 7 | 1 | no | — |
| 158 | C3×#932 | — | 7 | 2 | no | — |
| 159 | #63937 | — | 7 | 2 | no | — |
| 160 | #63937 | — | 7 | 2 | no | — |
| 161 | #63930 | — | 7 | 1 | no | — |
| 162 | #63930 | D7 | 1 | 1 | yes | characteristic, complemented |
| 163 | #63926 | — | 7 | 1 | no | — |
| 164 | #63926 | — | 7 | 1 | no | — |
| 165 | #63825 | — | 7 | 2 | no | — |
| 166 | #63818 | — | 7 | 1 | no | — |
| 167 | C22×C32×C7 | — | 2 | 1 | no | — |
| 168 | C2×C3⋊D21 | — | 2 | 1 | no | — |
| 169 | C2×C3⋊D21 | — | 4 | 2 | no | — |
| 170 | C2×C3⋊D21 | C2×D4 | 1 | 1 | yes | characteristic |
| 171 | C2×C7×C3⋊D3 | — | 2 | 1 | no | — |
| 172 | C2×C7×C3⋊D3 | — | 4 | 2 | no | — |
| 173 | C2×C7×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×C3×D21 | — | 2 | 2 | no | — |
| 175 | C2×C32×D7 | — | 2 | 1 | no | — |
| 176 | C2×C32×D7 | — | 4 | 2 | no | — |
| 177 | C2×C32×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | (C3⋊D3)⋊D7 | — | 4 | 2 | no | — |
| 179 | D7×C3⋊D3 | — | 2 | 2 | no | — |
| 180 | D7×C3⋊D3 | — | 4 | 2 | no | — |
| 181 | D7×C3⋊D3 | — | 4 | 2 | no | — |
| 182 | D7×C3⋊D3 | — | 4 | 2 | no | — |
| 183 | C32×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 184 | C3⋊Dic21 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C7×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C3×C7×Dic3 | — | 2 | 2 | no | — |
| 187 | C32×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C2×#1161 | — | 9 | 1 | no | — |
| 189 | C2×D4×D7 | — | 9 | 1 | no | — |
| 190 | C2×C7×SD16 | — | 9 | 1 | no | — |
| 191 | C2×#1143 | — | 9 | 1 | no | — |
| 192 | C2×#1141 | — | 9 | 1 | no | — |
| 193 | #6477 | — | 3 | 2 | no | — |
| 194 | #6477 | — | 9 | 2 | no | — |
| 195 | #6477 | — | 9 | 2 | no | — |
| 196 | #6477 | — | 9 | 2 | no | — |
| 197 | C2×D56 | — | 9 | 1 | no | — |
| 198 | C2×#1131 | — | 9 | 1 | no | — |
| 199 | D3×AGL(1,ℤ/8) | — | 21 | 2 | no | — |
| 200 | C22×D21 | — | 6 | 2 | no | — |
| 201 | C22×D21 | — | 6 | 1 | no | — |
| 202 | C22×D21 | — | 6 | 1 | no | — |
| 203 | C22×D3×C7 | — | 6 | 2 | no | — |
| 204 | C22×D3×C7 | — | 6 | 1 | no | — |
| 205 | C22×D3×C7 | — | 6 | 1 | no | — |
| 206 | C22×C3×D7 | — | 2 | 1 | no | — |
| 207 | C22×C3×D7 | — | 2 | 1 | no | — |
| 208 | C22×C3×D7 | — | 2 | 2 | no | — |
| 209 | C2×D3×D7 | — | 3 | 2 | no | — |
| 210 | C2×D3×D7 | — | 6 | 1 | no | — |
| 211 | C2×D3×D7 | — | 6 | 2 | no | — |
| 212 | C2×D3×D7 | — | 6 | 2 | no | — |
| 213 | C2×D3×D7 | — | 6 | 1 | no | — |
| 214 | C2×D3×D7 | — | 6 | 1 | no | — |
| 215 | C2×D3×D7 | — | 6 | 1 | no | — |
| 216 | C2×D3×D7 | — | 6 | 1 | no | — |
| 217 | C2×D3×D7 | — | 6 | 1 | no | — |
| 218 | C2×D3×D7 | — | 6 | 1 | no | — |
| 219 | C2×D3×D7 | — | 6 | 2 | no | — |
| 220 | C2×D3×D7 | — | 6 | 2 | no | — |
| 221 | C2×D3×D7 | — | 12 | 8 | no | — |
| 222 | C2×D3×D7 | — | 12 | 4 | no | — |
| 223 | C2×D3×D7 | — | 12 | 4 | no | — |
| 224 | C3×C7×Q8 | — | 3 | 2 | no | — |
| 225 | C3×C7×D4 | — | 2 | 1 | no | — |
| 226 | C3×C7×D4 | C22×D3 | 1 | 2 | yes | — |
| 227 | #4268 | — | 6 | 2 | no | — |
| 228 | #4268 | — | 6 | 1 | no | — |
| 229 | #4268 | — | 6 | 1 | no | — |
| 230 | D84 | — | 3 | 2 | no | — |
| 231 | D84 | — | 6 | 1 | no | — |
| 232 | D84 | — | 6 | 2 | no | — |
| 233 | D84 | C22×D3 | 1 | 2 | yes | complemented |
| 234 | C4×D21 | — | 3 | 2 | no | — |
| 235 | C4×D21 | — | 6 | 1 | no | — |
| 236 | C4×D21 | — | 6 | 2 | no | — |
| 237 | C7×#67 | — | 6 | 2 | no | — |
| 238 | C7×#67 | — | 6 | 1 | no | — |
| 239 | C7×#67 | — | 6 | 1 | no | — |
| 240 | C7×D12 | — | 3 | 2 | no | — |
| 241 | C7×D12 | — | 6 | 1 | no | — |
| 242 | C4×D3×C7 | — | 3 | 2 | no | — |
| 243 | C4×D3×C7 | — | 6 | 1 | no | — |
| 244 | C4×D3×C7 | — | 6 | 2 | no | — |
| 245 | C7×Dic6 | — | 6 | 2 | no | — |
| 246 | C7×Dic6 | C22×D3 | 1 | 2 | yes | complemented |
| 247 | C3×C22⋊D7 | — | 2 | 1 | no | — |
| 248 | C3×C22⋊D7 | — | 2 | 1 | no | — |
| 249 | C3×C22⋊D7 | — | 2 | 2 | no | — |
| 250 | C3×D28 | — | 2 | 1 | no | — |
| 251 | C3×D28 | — | 3 | 2 | no | — |
| 252 | C3×D28 | — | 6 | 2 | no | — |
| 253 | C3×D28 | C22×D3 | 1 | 2 | yes | — |
| 254 | C3×C4×D7 | — | 2 | 1 | no | — |
| 255 | C3×C4×D7 | — | 6 | 2 | no | — |
| 256 | C3×C4×D7 | C22×D3 | 1 | 2 | yes | — |
| 257 | #4247 | — | 6 | 1 | no | — |
| 258 | #4247 | — | 6 | 1 | no | — |
| 259 | #4247 | — | 6 | 2 | no | — |
| 260 | #4246 | — | 2 | 2 | no | — |
| 261 | #4246 | — | 6 | 2 | no | — |
| 262 | #4246 | — | 6 | 2 | no | — |
| 263 | #4246 | — | 6 | 2 | no | — |
| 264 | #4246 | — | 6 | 1 | no | — |
| 265 | #4246 | — | 6 | 1 | no | — |
| 266 | #4245 | — | 6 | 2 | no | — |
| 267 | #4245 | — | 6 | 1 | no | — |
| 268 | #4245 | — | 6 | 1 | no | — |
| 269 | D21⋊C4 | — | 2 | 2 | no | — |
| 270 | D21⋊C4 | — | 3 | 2 | no | — |
| 271 | D21⋊C4 | — | 6 | 1 | no | — |
| 272 | D3×Dic7 | — | 3 | 2 | no | — |
| 273 | D3×Dic7 | — | 6 | 1 | no | — |
| 274 | Dic3×D7 | — | 3 | 2 | no | — |
| 275 | Dic3×D7 | — | 6 | 1 | no | — |
| 276 | Dic3×D7 | — | 6 | 2 | no | — |
| 277 | C3×C7×C8 | — | 3 | 2 | no | — |
| 278 | C3⋊(C7⋊C8) | C22×D3 | 1 | 2 | yes | complemented |
| 279 | C3×C7⋊C8 | — | 3 | 2 | no | — |
| 280 | C7×C3⋊C8 | C22×D3 | 1 | 2 | yes | complemented |
| 281 | C23×C3⋊D3 | — | 14 | 1 | no | — |
| 282 | C2×C32×D4 | — | 7 | 1 | no | — |
| 283 | C2×#638 | — | 14 | 1 | no | — |
| 284 | D4×C3⋊D3 | — | 7 | 1 | no | — |
| 285 | D4×C3⋊D3 | — | 7 | 1 | no | — |
| 286 | D4×C3⋊D3 | — | 7 | 1 | no | — |
| 287 | D4×C3⋊D3 | — | 14 | 1 | no | — |
| 288 | D4×C3⋊D3 | — | 14 | 1 | no | — |
| 289 | D4×C3⋊D3 | C2×D7 | 1 | 1 | yes | characteristic |
| 290 | C2×C4⋊(C3⋊D3) | — | 7 | 1 | no | — |
| 291 | C2×C4×C3⋊D3 | — | 7 | 1 | no | — |
| 292 | C3×#235 | — | 7 | 2 | no | — |
| 293 | #3811 | — | 14 | 1 | no | — |
| 294 | #3805 | — | 14 | 1 | no | — |
| 295 | #3802 | — | 7 | 1 | no | — |
| 296 | C4×D32 | — | 14 | 1 | no | — |
| 297 | #3798 | — | 14 | 1 | no | — |
| 298 | #3797 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 299 | #3796 | — | 7 | 2 | no | — |
| 300 | C3×#214 | — | 7 | 2 | no | — |
| 301 | C3×#214 | C2×D7 | 1 | 2 | yes | complemented |
| 302 | C3×#213 | — | 7 | 2 | no | — |
| 303 | C3×#213 | — | 7 | 2 | no | — |
| 304 | C3×#208 | — | 7 | 2 | no | — |
| 305 | #3717 | — | 7 | 2 | no | — |
| 306 | #3717 | C2×D7 | 1 | 2 | yes | complemented |
| 307 | #3714 | — | 7 | 2 | no | — |
| 308 | #3714 | — | 7 | 2 | no | — |
| 309 | #3712 | — | 7 | 2 | no | — |
| 310 | #3710 | — | 7 | 1 | no | — |
| 311 | #3710 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 312 | C2×C32×C7 | — | 4 | 1 | no | — |
| 313 | C2×C32×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 314 | C3⋊D21 | — | 2 | 1 | no | — |
| 315 | C3⋊D21 | — | 4 | 1 | no | — |
| 316 | C7×C3⋊D3 | — | 4 | 1 | no | — |
| 317 | C7×C3⋊D3 | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 318 | C3×D21 | — | 4 | 2 | no | — |
| 319 | C32×D7 | — | 2 | 1 | no | — |
| 320 | C32×D7 | — | 4 | 1 | no | — |
| 321 | C23×D7 | — | 18 | 1 | no | — |
| 322 | C2×C7×Q8 | — | 9 | 1 | no | — |
| 323 | C2×C7×D4 | — | 9 | 1 | no | — |
| 324 | C2×C22⋊D7 | — | 18 | 1 | no | — |
| 325 | #1161 | — | 3 | 2 | no | — |
| 326 | #1161 | — | 9 | 2 | no | — |
| 327 | #1161 | — | 18 | 1 | no | — |
| 328 | #1161 | — | 18 | 1 | no | — |
| 329 | D4×D7 | — | 9 | 1 | no | — |
| 330 | D4×D7 | — | 9 | 1 | no | — |
| 331 | D4×D7 | — | 9 | 1 | no | — |
| 332 | D4×D7 | — | 18 | 1 | no | — |
| 333 | D4×D7 | — | 18 | 1 | no | — |
| 334 | D4×D7 | D32 | 1 | 1 | yes | characteristic, complemented |
| 335 | C2×D28 | — | 9 | 1 | no | — |
| 336 | C2×D28 | — | 9 | 1 | no | — |
| 337 | C2×D28 | — | 18 | 1 | no | — |
| 338 | C2×C4×D7 | — | 9 | 1 | no | — |
| 339 | C2×C4×D7 | — | 18 | 1 | no | — |
| 340 | C7×SD16 | — | 3 | 2 | no | — |
| 341 | C7×SD16 | — | 9 | 2 | no | — |
| 342 | C2×C7×C8 | — | 9 | 1 | no | — |
| 343 | #1143 | — | 3 | 2 | no | — |
| 344 | #1143 | — | 9 | 2 | no | — |
| 345 | #1141 | — | 3 | 2 | no | — |
| 346 | #1141 | — | 9 | 2 | no | — |
| 347 | C2×C7⋊C8 | — | 9 | 1 | no | — |
| 348 | D56 | — | 3 | 2 | no | — |
| 349 | D56 | — | 9 | 2 | no | — |
| 350 | #1131 | — | 3 | 2 | no | — |
| 351 | #1131 | — | 9 | 2 | no | — |
| 352 | D3×#41 | — | 21 | 2 | no | — |
| 353 | C2×D3×D4 | — | 21 | 2 | no | — |
| 354 | C2×D3×D4 | — | 42 | 1 | no | — |
| 355 | C3×AGL(1,ℤ/8) | — | 21 | 2 | no | — |
| 356 | #949 | — | 21 | 2 | no | — |
| 357 | #932 | — | 7 | 2 | no | — |
| 358 | #914 | — | 21 | 2 | no | — |
| 359 | #914 | — | 21 | 2 | no | — |
| 360 | D3×SD16 | — | 3 | 2 | no | — |
| 361 | D3×SD16 | — | 21 | 2 | no | — |
| 362 | #911 | — | 21 | 2 | no | — |
| 363 | #911 | — | 21 | 2 | no | — |
| 364 | D3×D8 | — | 21 | 2 | no | — |
| 365 | D3×D8 | — | 21 | 2 | no | — |
| 366 | #908 | — | 21 | 2 | no | — |
| 367 | D3×M16 | — | 21 | 2 | no | — |
| 368 | C22×C3×C7 | — | 2 | 1 | no | — |
| 369 | C22×C3×C7 | — | 2 | 1 | no | — |
| 370 | C22×C3×C7 | — | 2 | 2 | no | — |
| 371 | C2×D21 | — | 2 | 2 | no | — |
| 372 | C2×D21 | — | 3 | 2 | no | — |
| 373 | C2×D21 | — | 6 | 1 | no | — |
| 374 | C2×D21 | — | 6 | 1 | no | — |
| 375 | C2×D21 | — | 6 | 1 | no | — |
| 376 | C2×D21 | — | 6 | 2 | no | — |
| 377 | C2×D21 | — | 12 | 2 | no | — |
| 378 | C2×D21 | — | 12 | 2 | no | — |
| 379 | C2×D21 | — | 12 | 4 | no | — |
| 380 | C2×D3×C7 | — | 3 | 2 | no | — |
| 381 | C2×D3×C7 | — | 6 | 1 | no | — |
| 382 | C2×D3×C7 | — | 6 | 1 | no | — |
| 383 | C2×D3×C7 | — | 6 | 1 | no | — |
| 384 | C2×D3×C7 | — | 6 | 2 | no | — |
| 385 | C2×D3×C7 | — | 12 | 4 | no | — |
| 386 | C2×D3×C7 | — | 12 | 2 | no | — |
| 387 | C2×D3×C7 | — | 12 | 2 | no | — |
| 388 | C2×C3×D7 | — | 2 | 1 | no | — |
| 389 | C2×C3×D7 | — | 2 | 1 | no | — |
| 390 | C2×C3×D7 | — | 2 | 2 | no | — |
| 391 | C2×C3×D7 | — | 2 | 1 | no | — |
| 392 | C2×C3×D7 | — | 4 | 2 | no | — |
| 393 | C2×C3×D7 | — | 4 | 2 | no | — |
| 394 | C2×C3×D7 | — | 4 | 4 | no | — |
| 395 | C2×C3×D7 | — | 6 | 2 | no | — |
| 396 | C2×C3×D7 | D3×D4 | 1 | 2 | yes | — |
| 397 | D3×D7 | — | 6 | 4 | no | — |
| 398 | D3×D7 | — | 6 | 2 | no | — |
| 399 | D3×D7 | — | 6 | 2 | no | — |
| 400 | D3×D7 | — | 12 | 4 | no | — |
| 401 | D3×D7 | — | 12 | 4 | no | — |
| 402 | D3×D7 | — | 12 | 2 | no | — |
| 403 | D3×D7 | — | 12 | 2 | no | — |
| 404 | D3×D7 | — | 12 | 2 | no | — |
| 405 | D3×D7 | — | 12 | 2 | no | — |
| 406 | D3×D7 | — | 12 | 4 | no | — |
| 407 | D3×D7 | — | 12 | 2 | no | — |
| 408 | D3×D7 | — | 12 | 2 | no | — |
| 409 | D3×D7 | — | 12 | 4 | no | — |
| 410 | C3×C4×C7 | — | 2 | 1 | no | — |
| 411 | C3×C4×C7 | — | 6 | 2 | no | — |
| 412 | C3×C4×C7 | C23×D3 | 1 | 2 | yes | — |
| 413 | Dic21 | — | 3 | 2 | no | — |
| 414 | Dic21 | — | 6 | 1 | no | — |
| 415 | C3×Dic7 | — | 2 | 1 | no | — |
| 416 | C3×Dic7 | D3×D4 | 1 | 2 | yes | — |
| 417 | C7×Dic3 | — | 2 | 2 | no | — |
| 418 | C7×Dic3 | — | 3 | 2 | no | — |
| 419 | C7×Dic3 | — | 6 | 1 | no | — |
| 420 | C23×C32 | — | 14 | 1 | no | — |
| 421 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 422 | C22×C3⋊D3 | — | 7 | 1 | no | — |
| 423 | C22×C3⋊D3 | — | 14 | 1 | no | — |
| 424 | C22×C3⋊D3 | — | 14 | 1 | no | — |
| 425 | C22×C3⋊D3 | — | 14 | 1 | no | — |
| 426 | C22×C3⋊D3 | — | 14 | 1 | no | — |
| 427 | C22×C3⋊D3 | — | 28 | 4 | no | — |
| 428 | C2×D32 | — | 14 | 1 | no | — |
| 429 | C32×D4 | — | 7 | 1 | no | — |
| 430 | C32×D4 | — | 14 | 1 | no | — |
| 431 | C32×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 432 | C2×C32×C4 | — | 7 | 1 | no | — |
| 433 | #638 | — | 2 | 1 | no | — |
| 434 | #638 | — | 14 | 1 | no | — |
| 435 | #638 | — | 14 | 1 | no | — |
| 436 | #638 | — | 14 | 1 | no | — |
| 437 | C2×C3⋊Dic3 | — | 7 | 1 | no | — |
| 438 | C4⋊(C3⋊D3) | — | 7 | 1 | no | — |
| 439 | C4⋊(C3⋊D3) | — | 14 | 1 | no | — |
| 440 | C4⋊(C3⋊D3) | C22×D7 | 1 | 1 | yes | characteristic |
| 441 | C4×C3⋊D3 | — | 7 | 1 | no | — |
| 442 | C4×C3⋊D3 | — | 7 | 1 | no | — |
| 443 | C4×C3⋊D3 | — | 7 | 1 | no | — |
| 444 | C4×C3⋊D3 | C22×D7 | 1 | 1 | yes | characteristic |
| 445 | C3×#67 | — | 14 | 2 | no | — |
| 446 | C3×D12 | — | 7 | 2 | no | — |
| 447 | C3×C4×D3 | — | 14 | 2 | no | — |
| 448 | C3×Dic6 | C22×D7 | 1 | 2 | yes | complemented |
| 449 | #627 | — | 2 | 1 | no | — |
| 450 | #626 | — | 14 | 2 | no | — |
| 451 | #625 | — | 14 | 1 | no | — |
| 452 | #624 | — | 2 | 1 | no | — |
| 453 | D3×Dic3 | — | 14 | 2 | no | — |
| 454 | C3×C3⋊C8 | — | 7 | 2 | no | — |
| 455 | C3×C3⋊C8 | C22×D7 | 1 | 2 | yes | complemented |
| 456 | C2×AGL(1,ℤ/8) | — | 63 | 1 | no | Sylow |
| 457 | C32×C7 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented, Hall |
| 458 | C23×C7 | — | 18 | 1 | no | — |
| 459 | C22×D7 | — | 2 | 1 | no | — |
| 460 | C22×D7 | — | 9 | 1 | no | — |
| 461 | C22×D7 | — | 18 | 1 | no | — |
| 462 | C22×D7 | — | 18 | 1 | no | — |
| 463 | C22×D7 | — | 18 | 1 | no | — |
| 464 | C22×D7 | — | 18 | 1 | no | — |
| 465 | C22×D7 | — | 18 | 1 | no | — |
| 466 | C22×D7 | — | 36 | 4 | no | — |
| 467 | C7×Q8 | — | 3 | 2 | no | — |
| 468 | C7×Q8 | — | 18 | 1 | no | — |
| 469 | C7×D4 | — | 9 | 1 | no | — |
| 470 | C7×D4 | — | 18 | 1 | no | — |
| 471 | C7×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 472 | C2×C4×C7 | — | 9 | 1 | no | — |
| 473 | C2×C4×C7 | — | 18 | 1 | no | — |
| 474 | C22⋊D7 | — | 2 | 1 | no | — |
| 475 | C22⋊D7 | — | 18 | 1 | no | — |
| 476 | C22⋊D7 | — | 18 | 1 | no | — |
| 477 | C22⋊D7 | — | 18 | 1 | no | — |
| 478 | C2×Dic7 | — | 9 | 1 | no | — |
| 479 | D28 | — | 3 | 2 | no | — |
| 480 | D28 | — | 6 | 2 | no | — |
| 481 | D28 | — | 9 | 1 | no | — |
| 482 | D28 | — | 18 | 2 | no | — |
| 483 | D28 | — | 18 | 1 | no | — |
| 484 | D28 | — | 18 | 1 | no | — |
| 485 | D28 | C2×D32 | 1 | 1 | yes | characteristic |
| 486 | C4×D7 | — | 6 | 2 | no | — |
| 487 | C4×D7 | — | 9 | 1 | no | — |
| 488 | C4×D7 | — | 9 | 1 | no | — |
| 489 | C4×D7 | — | 9 | 1 | no | — |
| 490 | C4×D7 | — | 18 | 2 | no | — |
| 491 | C4×D7 | C2×D32 | 1 | 1 | yes | characteristic |
| 492 | C7×C8 | — | 3 | 2 | no | — |
| 493 | C7⋊C8 | — | 3 | 2 | no | — |
| 494 | C23×D3 | — | 42 | 2 | no | — |
| 495 | C23×D3 | — | 42 | 1 | no | — |
| 496 | C23×D3 | — | 42 | 1 | no | — |
| 497 | C3×#41 | — | 21 | 2 | no | — |
| 498 | C2×C3×D4 | — | 7 | 2 | no | — |
| 499 | C2×C3×D4 | — | 14 | 1 | no | — |
| 500 | C2×#67 | — | 42 | 2 | no | — |
| 501 | C2×#67 | — | 42 | 1 | no | — |
| 502 | C2×#67 | — | 42 | 1 | no | — |
| 503 | #239 | — | 21 | 2 | no | — |
| 504 | D3×Q8 | — | 3 | 2 | no | — |
| 505 | #237 | — | 21 | 2 | no | — |
| 506 | #237 | — | 42 | 2 | no | — |
| 507 | D3×D4 | — | 3 | 2 | no | — |
| 508 | D3×D4 | — | 6 | 1 | no | — |
| 509 | D3×D4 | — | 21 | 2 | no | — |
| 510 | D3×D4 | — | 21 | 2 | no | — |
| 511 | D3×D4 | — | 21 | 2 | no | — |
| 512 | D3×D4 | — | 21 | 2 | no | — |
| 513 | D3×D4 | — | 42 | 1 | no | — |
| 514 | D3×D4 | — | 42 | 1 | no | — |
| 515 | D3×D4 | — | 42 | 1 | no | — |
| 516 | D3×D4 | — | 42 | 2 | no | — |
| 517 | D3×D4 | — | 42 | 2 | no | — |
| 518 | D3×D4 | — | 42 | 2 | no | — |
| 519 | D3×D4 | — | 42 | 1 | no | — |
| 520 | D3×D4 | — | 42 | 1 | no | — |
| 521 | D3×D4 | — | 42 | 1 | no | — |
| 522 | D3×D4 | — | 42 | 1 | no | — |
| 523 | #235 | — | 7 | 2 | no | — |
| 524 | #235 | — | 42 | 2 | no | — |
| 525 | C2×D12 | — | 21 | 2 | no | — |
| 526 | C2×D12 | — | 42 | 1 | no | — |
| 527 | C2×C4×D3 | — | 21 | 2 | no | — |
| 528 | C2×C4×D3 | — | 42 | 1 | no | — |
| 529 | C2×C4×D3 | — | 42 | 2 | no | — |
| 530 | C3×SD16 | — | 3 | 2 | no | — |
| 531 | C3×SD16 | — | 21 | 2 | no | — |
| 532 | C3×D8 | — | 21 | 2 | no | — |
| 533 | C3×D8 | — | 21 | 2 | no | — |
| 534 | C3×M16 | — | 21 | 2 | no | — |
| 535 | #215 | — | 3 | 2 | no | — |
| 536 | #215 | — | 21 | 2 | no | — |
| 537 | #214 | — | 7 | 2 | no | — |
| 538 | #214 | D3×D7 | 1 | 2 | yes | complemented |
| 539 | #213 | — | 7 | 2 | no | — |
| 540 | #213 | — | 7 | 2 | no | — |
| 541 | #213 | — | 21 | 2 | no | — |
| 542 | #213 | — | 21 | 2 | no | — |
| 543 | #208 | — | 7 | 2 | no | — |
| 544 | D24 | — | 21 | 2 | no | — |
| 545 | D24 | — | 21 | 2 | no | — |
| 546 | #204 | — | 3 | 2 | no | — |
| 547 | #204 | — | 21 | 2 | no | — |
| 548 | ΓL(1,𝔽25) | — | 21 | 2 | no | — |
| 549 | ΓL(1,𝔽25) | — | 21 | 2 | no | — |
| 550 | D3×C8 | — | 3 | 2 | no | — |
| 551 | D3×C8 | — | 21 | 2 | no | — |
| 552 | C2×C3×C7 | — | 2 | 1 | no | — |
| 553 | C2×C3×C7 | — | 4 | 1 | no | — |
| 554 | C2×C3×C7 | — | 4 | 1 | no | — |
| 555 | C2×C3×C7 | — | 4 | 2 | no | — |
| 556 | C2×C3×C7 | C2×D3×D4 | 1 | 2 | yes | — |
| 557 | D21 | — | 4 | 2 | no | — |
| 558 | D21 | — | 6 | 1 | no | — |
| 559 | D21 | — | 6 | 1 | no | — |
| 560 | D21 | — | 6 | 2 | no | — |
| 561 | D21 | — | 12 | 1 | no | — |
| 562 | D21 | — | 12 | 1 | no | — |
| 563 | D21 | — | 12 | 2 | no | — |
| 564 | C3×D7 | — | 2 | 1 | no | — |
| 565 | C3×D7 | — | 2 | 1 | no | — |
| 566 | C3×D7 | — | 2 | 2 | no | — |
| 567 | C3×D7 | — | 4 | 1 | no | — |
| 568 | C3×D7 | — | 4 | 1 | no | — |
| 569 | C3×D7 | — | 4 | 2 | no | — |
| 570 | C3×D7 | — | 12 | 2 | no | — |
| 571 | D3×C7 | — | 3 | 4 | no | — |
| 572 | D3×C7 | — | 6 | 2 | no | — |
| 573 | D3×C7 | — | 12 | 1 | no | — |
| 574 | D3×C7 | — | 12 | 1 | no | — |
| 575 | D3×C7 | — | 12 | 2 | no | — |
| 576 | C22×C32 | — | 2 | 1 | no | — |
| 577 | C22×C32 | — | 7 | 1 | no | — |
| 578 | C22×C32 | — | 14 | 1 | no | — |
| 579 | C22×C32 | — | 28 | 2 | no | — |
| 580 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 581 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 582 | C2×C3⋊D3 | — | 7 | 1 | no | — |
| 583 | C2×C3⋊D3 | — | 14 | 2 | no | — |
| 584 | C2×C3⋊D3 | — | 14 | 1 | no | — |
| 585 | C2×C3⋊D3 | — | 28 | 2 | no | — |
| 586 | C2×C3⋊D3 | — | 28 | 2 | no | — |
| 587 | C2×C3⋊D3 | — | 28 | 2 | no | — |
| 588 | C2×C3⋊D3 | — | 28 | 2 | no | — |
| 589 | C2×C3⋊D3 | D4×D7 | 1 | 1 | yes | characteristic |
| 590 | C2×C3×D3 | — | 14 | 2 | no | — |
| 591 | D32 | — | 28 | 2 | no | — |
| 592 | C32×C4 | — | 7 | 1 | no | — |
| 593 | C32×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 594 | C3⋊Dic3 | — | 7 | 1 | no | — |
| 595 | C3⋊Dic3 | D4×D7 | 1 | 1 | yes | characteristic |
| 596 | C3×Dic3 | — | 2 | 2 | no | — |
| 597 | C2×#41 | — | 63 | 1 | no | — |
| 598 | C22×D4 | — | 63 | 1 | no | — |
| 599 | AGL(1,ℤ/8) | — | 21 | 2 | no | — |
| 600 | AGL(1,ℤ/8) | — | 63 | 2 | no | — |
| 601 | AGL(1,ℤ/8) | — | 63 | 2 | no | — |
| 602 | AGL(1,ℤ/8) | — | 63 | 2 | no | — |
| 603 | C2×SD16 | — | 9 | 1 | no | — |
| 604 | C2×SD16 | — | 63 | 1 | no | — |
| 605 | C2×D8 | — | 63 | 1 | no | — |
| 606 | C2×D8 | — | 63 | 1 | no | — |
| 607 | C2×M16 | — | 63 | 1 | no | — |
| 608 | C22×C7 | — | 2 | 1 | no | — |
| 609 | C22×C7 | — | 9 | 1 | no | — |
| 610 | C22×C7 | — | 18 | 1 | no | — |
| 611 | C22×C7 | — | 36 | 2 | no | — |
| 612 | C2×D7 | — | 2 | 1 | no | — |
| 613 | C2×D7 | — | 4 | 2 | no | — |
| 614 | C2×D7 | — | 6 | 2 | no | — |
| 615 | C2×D7 | — | 9 | 1 | no | — |
| 616 | C2×D7 | — | 18 | 2 | no | — |
| 617 | C2×D7 | — | 18 | 1 | no | — |
| 618 | C2×D7 | — | 36 | 2 | no | — |
| 619 | C2×D7 | — | 36 | 2 | no | — |
| 620 | C2×D7 | — | 36 | 2 | no | — |
| 621 | C2×D7 | — | 36 | 2 | no | — |
| 622 | C2×D7 | — | 36 | 2 | no | — |
| 623 | C2×D7 | #3811 | 1 | 1 | yes | characteristic |
| 624 | C4×C7 | — | 6 | 2 | no | — |
| 625 | C4×C7 | — | 9 | 1 | no | — |
| 626 | C4×C7 | C22×D32 | 1 | 1 | yes | characteristic |
| 627 | Dic7 | — | 9 | 1 | no | — |
| 628 | Dic7 | #3811 | 1 | 1 | yes | characteristic |
| 629 | C23×C3 | — | 14 | 2 | no | — |
| 630 | C23×C3 | — | 14 | 1 | no | — |
| 631 | C23×C3 | — | 14 | 1 | no | — |
| 632 | C22×D3 | — | 6 | 2 | no | — |
| 633 | C22×D3 | — | 6 | 1 | no | — |
| 634 | C22×D3 | — | 6 | 1 | no | — |
| 635 | C22×D3 | — | 21 | 2 | no | — |
| 636 | C22×D3 | — | 42 | 1 | no | — |
| 637 | C22×D3 | — | 42 | 2 | no | — |
| 638 | C22×D3 | — | 42 | 2 | no | — |
| 639 | C22×D3 | — | 42 | 2 | no | — |
| 640 | C22×D3 | — | 42 | 2 | no | — |
| 641 | C22×D3 | — | 42 | 1 | no | — |
| 642 | C22×D3 | — | 42 | 1 | no | — |
| 643 | C22×D3 | — | 42 | 1 | no | — |
| 644 | C22×D3 | — | 42 | 1 | no | — |
| 645 | C22×D3 | — | 42 | 1 | no | — |
| 646 | C22×D3 | — | 42 | 1 | no | — |
| 647 | C22×D3 | — | 42 | 2 | no | — |
| 648 | C22×D3 | — | 42 | 1 | no | — |
| 649 | C22×D3 | — | 42 | 1 | no | — |
| 650 | C22×D3 | — | 84 | 8 | no | — |
| 651 | C22×D3 | — | 84 | 4 | no | — |
| 652 | C22×D3 | — | 84 | 4 | no | — |
| 653 | C3×Q8 | — | 3 | 2 | no | — |
| 654 | C3×D4 | — | 2 | 1 | no | — |
| 655 | C3×D4 | — | 7 | 2 | no | — |
| 656 | C3×D4 | — | 14 | 1 | no | — |
| 657 | C3×D4 | — | 14 | 2 | no | — |
| 658 | C3×D4 | — | 14 | 1 | no | — |
| 659 | C3×D4 | — | 14 | 1 | no | — |
| 660 | C3×D4 | — | 21 | 2 | no | — |
| 661 | C3×D4 | — | 42 | 2 | no | — |
| 662 | C3×D4 | C2×D3×D7 | 1 | 2 | yes | — |
| 663 | C2×C3×C4 | — | 7 | 2 | no | — |
| 664 | C2×C3×C4 | — | 14 | 1 | no | — |
| 665 | C2×C3×C4 | — | 42 | 2 | no | — |
| 666 | #67 | — | 6 | 2 | no | — |
| 667 | #67 | — | 6 | 1 | no | — |
| 668 | #67 | — | 6 | 1 | no | — |
| 669 | #67 | — | 14 | 2 | no | — |
| 670 | #67 | — | 42 | 2 | no | — |
| 671 | #67 | — | 42 | 2 | no | — |
| 672 | #67 | — | 42 | 2 | no | — |
| 673 | #67 | — | 42 | 1 | no | — |
| 674 | #67 | — | 42 | 1 | no | — |
| 675 | #67 | — | 42 | 2 | no | — |
| 676 | #67 | — | 42 | 2 | no | — |
| 677 | #67 | — | 42 | 1 | no | — |
| 678 | #67 | — | 42 | 1 | no | — |
| 679 | #67 | — | 42 | 1 | no | — |
| 680 | #67 | — | 42 | 1 | no | — |
| 681 | C2×Dic3 | — | 21 | 2 | no | — |
| 682 | C2×Dic3 | — | 42 | 1 | no | — |
| 683 | C2×Dic3 | — | 42 | 2 | no | — |
| 684 | D12 | — | 3 | 2 | no | — |
| 685 | D12 | — | 6 | 1 | no | — |
| 686 | D12 | — | 7 | 2 | no | — |
| 687 | D12 | — | 21 | 2 | no | — |
| 688 | D12 | — | 42 | 1 | no | — |
| 689 | D12 | — | 42 | 2 | no | — |
| 690 | D12 | — | 42 | 2 | no | — |
| 691 | D12 | — | 42 | 1 | no | — |
| 692 | D12 | — | 42 | 1 | no | — |
| 693 | C4×D3 | — | 3 | 2 | no | — |
| 694 | C4×D3 | — | 6 | 1 | no | — |
| 695 | C4×D3 | — | 6 | 2 | no | — |
| 696 | C4×D3 | — | 14 | 2 | no | — |
| 697 | C4×D3 | — | 21 | 2 | no | — |
| 698 | C4×D3 | — | 21 | 2 | no | — |
| 699 | C4×D3 | — | 21 | 2 | no | — |
| 700 | C4×D3 | — | 42 | 1 | no | — |
| 701 | C4×D3 | — | 42 | 1 | no | — |
| 702 | C4×D3 | — | 42 | 1 | no | — |
| 703 | C4×D3 | — | 42 | 2 | no | — |
| 704 | Dic6 | — | 6 | 2 | no | — |
| 705 | Dic6 | C2×D3×D7 | 1 | 2 | yes | complemented |
| 706 | C3×C8 | — | 3 | 2 | no | — |
| 707 | C3×C8 | — | 21 | 2 | no | — |
| 708 | C3⋊C8 | — | 7 | 2 | no | — |
| 709 | C3⋊C8 | C2×D3×D7 | 1 | 2 | yes | complemented |
| 710 | C3×C7 | — | 2 | 1 | no | — |
| 711 | C3×C7 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 712 | C2×C32 | — | 4 | 1 | no | — |
| 713 | C2×C32 | — | 14 | 1 | no | — |
| 714 | C2×C32 | — | 28 | 1 | no | — |
| 715 | C2×C32 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 716 | C3⋊D3 | — | 4 | 1 | no | — |
| 717 | C3⋊D3 | — | 14 | 1 | no | — |
| 718 | C3⋊D3 | — | 28 | 1 | no | — |
| 719 | C3⋊D3 | #6477 | 1 | 2 | yes | complemented |
| 720 | C3×D3 | — | 28 | 2 | no | — |
| 721 | C24 | — | 126 | 1 | no | — |
| 722 | #41 | — | 21 | 2 | no | — |
| 723 | #41 | — | 63 | 2 | no | — |
| 724 | #41 | — | 126 | 1 | no | — |
| 725 | #41 | — | 126 | 1 | no | — |
| 726 | C2×Q8 | — | 9 | 1 | no | — |
| 727 | C2×D4 | — | 7 | 1 | no | — |
| 728 | C2×D4 | — | 9 | 1 | no | — |
| 729 | C2×D4 | — | 63 | 1 | no | — |
| 730 | C2×D4 | — | 63 | 1 | no | — |
| 731 | C2×D4 | — | 63 | 1 | no | — |
| 732 | C2×D4 | — | 63 | 1 | no | — |
| 733 | C2×D4 | — | 63 | 1 | no | — |
| 734 | C2×D4 | — | 126 | 1 | no | — |
| 735 | C2×D4 | — | 126 | 1 | no | — |
| 736 | C2×D4 | — | 126 | 1 | no | — |
| 737 | C2×D4 | — | 126 | 1 | no | — |
| 738 | C22×C4 | — | 63 | 1 | no | — |
| 739 | C22×C4 | — | 126 | 1 | no | — |
| 740 | SD16 | — | 3 | 2 | no | — |
| 741 | SD16 | — | 9 | 2 | no | — |
| 742 | SD16 | — | 21 | 2 | no | — |
| 743 | SD16 | — | 63 | 2 | no | — |
| 744 | D8 | — | 21 | 2 | no | — |
| 745 | D8 | — | 21 | 2 | no | — |
| 746 | D8 | — | 63 | 2 | no | — |
| 747 | D8 | — | 63 | 2 | no | — |
| 748 | M16 | — | 21 | 2 | no | — |
| 749 | M16 | — | 63 | 2 | no | — |
| 750 | C2×C8 | — | 9 | 1 | no | — |
| 751 | C2×C8 | — | 63 | 1 | no | — |
| 752 | C2×C7 | — | 4 | 1 | no | — |
| 753 | C2×C7 | — | 9 | 2 | no | — |
| 754 | C2×C7 | — | 36 | 1 | no | — |
| 755 | C2×C7 | C2×#3811 | 1 | 1 | yes | characteristic |
| 756 | D7 | — | 2 | 1 | no | — |
| 757 | D7 | — | 4 | 1 | no | — |
| 758 | D7 | — | 12 | 2 | no | — |
| 759 | D7 | — | 18 | 1 | no | — |
| 760 | D7 | — | 36 | 1 | no | — |
| 761 | C22×C3 | — | 2 | 1 | no | — |
| 762 | C22×C3 | — | 2 | 1 | no | — |
| 763 | C22×C3 | — | 2 | 2 | no | — |
| 764 | C22×C3 | — | 7 | 2 | no | — |
| 765 | C22×C3 | — | 14 | 1 | no | — |
| 766 | C22×C3 | — | 14 | 1 | no | — |
| 767 | C22×C3 | — | 14 | 1 | no | — |
| 768 | C22×C3 | — | 14 | 2 | no | — |
| 769 | C22×C3 | — | 28 | 2 | no | — |
| 770 | C22×C3 | — | 28 | 2 | no | — |
| 771 | C22×C3 | — | 28 | 4 | no | — |
| 772 | C22×C3 | — | 42 | 2 | no | — |
| 773 | C2×D3 | — | 3 | 2 | no | — |
| 774 | C2×D3 | — | 6 | 1 | no | — |
| 775 | C2×D3 | — | 6 | 1 | no | — |
| 776 | C2×D3 | — | 6 | 1 | no | — |
| 777 | C2×D3 | — | 6 | 2 | no | — |
| 778 | C2×D3 | — | 12 | 4 | no | — |
| 779 | C2×D3 | — | 12 | 2 | no | — |
| 780 | C2×D3 | — | 12 | 2 | no | — |
| 781 | C2×D3 | — | 14 | 2 | no | — |
| 782 | C2×D3 | — | 21 | 2 | no | — |
| 783 | C2×D3 | — | 42 | 1 | no | — |
| 784 | C2×D3 | — | 42 | 4 | no | — |
| 785 | C2×D3 | — | 42 | 2 | no | — |
| 786 | C2×D3 | — | 42 | 2 | no | — |
| 787 | C2×D3 | — | 42 | 1 | no | — |
| 788 | C2×D3 | — | 42 | 1 | no | — |
| 789 | C2×D3 | — | 42 | 2 | no | — |
| 790 | C2×D3 | — | 84 | 4 | no | — |
| 791 | C2×D3 | — | 84 | 4 | no | — |
| 792 | C2×D3 | — | 84 | 2 | no | — |
| 793 | C2×D3 | — | 84 | 2 | no | — |
| 794 | C2×D3 | — | 84 | 2 | no | — |
| 795 | C2×D3 | — | 84 | 2 | no | — |
| 796 | C2×D3 | — | 84 | 4 | no | — |
| 797 | C2×D3 | — | 84 | 2 | no | — |
| 798 | C2×D3 | — | 84 | 2 | no | — |
| 799 | C2×D3 | — | 84 | 4 | no | — |
| 800 | C2×D3 | — | 84 | 2 | no | — |
| 801 | C2×D3 | — | 84 | 2 | no | — |
| 802 | C2×D3 | — | 84 | 4 | no | — |
| 803 | C3×C4 | — | 2 | 1 | no | — |
| 804 | C3×C4 | — | 6 | 2 | no | — |
| 805 | C3×C4 | — | 7 | 2 | no | — |
| 806 | C3×C4 | — | 14 | 1 | no | — |
| 807 | C3×C4 | C22×D3×D7 | 1 | 2 | yes | — |
| 808 | Dic3 | — | 2 | 2 | no | — |
| 809 | Dic3 | — | 3 | 2 | no | — |
| 810 | Dic3 | — | 6 | 1 | no | — |
| 811 | Dic3 | — | 21 | 2 | no | — |
| 812 | Dic3 | — | 42 | 1 | no | — |
| 813 | C32 | C2×#6477 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 814 | C23 | — | 14 | 1 | no | — |
| 815 | C23 | — | 18 | 1 | no | — |
| 816 | C23 | — | 63 | 1 | no | — |
| 817 | C23 | — | 126 | 1 | no | — |
| 818 | C23 | — | 126 | 1 | no | — |
| 819 | C23 | — | 126 | 1 | no | — |
| 820 | C23 | — | 126 | 1 | no | — |
| 821 | C23 | — | 126 | 1 | no | — |
| 822 | C23 | — | 252 | 4 | no | — |
| 823 | Q8 | — | 3 | 2 | no | — |
| 824 | Q8 | — | 18 | 1 | no | — |
| 825 | D4 | — | 7 | 1 | no | — |
| 826 | D4 | — | 9 | 1 | no | — |
| 827 | D4 | — | 14 | 1 | no | — |
| 828 | D4 | — | 18 | 1 | no | — |
| 829 | D4 | — | 21 | 2 | no | — |
| 830 | D4 | — | 42 | 2 | no | — |
| 831 | D4 | — | 63 | 1 | no | — |
| 832 | D4 | — | 126 | 2 | no | — |
| 833 | D4 | — | 126 | 1 | no | — |
| 834 | D4 | — | 126 | 1 | no | — |
| 835 | D4 | — | 126 | 1 | no | — |
| 836 | D4 | — | 126 | 1 | no | — |
| 837 | D4 | — | 126 | 1 | no | — |
| 838 | D4 | D32×D7 | 1 | 1 | yes | characteristic |
| 839 | C2×C4 | — | 7 | 1 | no | — |
| 840 | C2×C4 | — | 9 | 1 | no | — |
| 841 | C2×C4 | — | 18 | 1 | no | — |
| 842 | C2×C4 | — | 42 | 2 | no | — |
| 843 | C2×C4 | — | 63 | 1 | no | — |
| 844 | C2×C4 | — | 63 | 1 | no | — |
| 845 | C2×C4 | — | 63 | 1 | no | — |
| 846 | C2×C4 | — | 63 | 1 | no | — |
| 847 | C2×C4 | — | 126 | 2 | no | — |
| 848 | C8 | — | 3 | 2 | no | — |
| 849 | C8 | — | 21 | 2 | no | — |
| 850 | C7 | #10595100 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 851 | C2×C3 | — | 2 | 1 | no | — |
| 852 | C2×C3 | — | 4 | 1 | no | — |
| 853 | C2×C3 | — | 4 | 1 | no | — |
| 854 | C2×C3 | — | 4 | 2 | no | — |
| 855 | C2×C3 | — | 14 | 1 | no | — |
| 856 | C2×C3 | — | 14 | 1 | no | — |
| 857 | C2×C3 | — | 14 | 2 | no | — |
| 858 | C2×C3 | — | 28 | 1 | no | — |
| 859 | C2×C3 | — | 28 | 1 | no | — |
| 860 | C2×C3 | — | 28 | 2 | no | — |
| 861 | C2×C3 | — | 84 | 2 | no | — |
| 862 | C2×C3 | D3×D4×D7 | 1 | 2 | yes | — |
| 863 | D3 | — | 3 | 4 | no | — |
| 864 | D3 | — | 6 | 2 | no | — |
| 865 | D3 | — | 12 | 1 | no | — |
| 866 | D3 | — | 12 | 1 | no | — |
| 867 | D3 | — | 12 | 2 | no | — |
| 868 | D3 | — | 28 | 2 | no | — |
| 869 | D3 | — | 42 | 1 | no | — |
| 870 | D3 | — | 42 | 1 | no | — |
| 871 | D3 | — | 42 | 2 | no | — |
| 872 | D3 | — | 84 | 1 | no | — |
| 873 | D3 | — | 84 | 1 | no | — |
| 874 | D3 | — | 84 | 2 | no | — |
| 875 | C22 | — | 2 | 1 | no | — |
| 876 | C22 | — | 7 | 1 | no | — |
| 877 | C22 | — | 9 | 1 | no | — |
| 878 | C22 | — | 14 | 1 | no | — |
| 879 | C22 | — | 18 | 1 | no | — |
| 880 | C22 | — | 28 | 2 | no | — |
| 881 | C22 | — | 36 | 2 | no | — |
| 882 | C22 | — | 42 | 2 | no | — |
| 883 | C22 | — | 63 | 1 | no | — |
| 884 | C22 | — | 126 | 2 | no | — |
| 885 | C22 | — | 126 | 1 | no | — |
| 886 | C22 | — | 252 | 2 | no | — |
| 887 | C22 | — | 252 | 2 | no | — |
| 888 | C22 | — | 252 | 2 | no | — |
| 889 | C22 | — | 252 | 2 | no | — |
| 890 | C22 | — | 252 | 2 | no | — |
| 891 | C4 | — | 6 | 2 | no | — |
| 892 | C4 | — | 7 | 1 | no | — |
| 893 | C4 | — | 9 | 1 | no | — |
| 894 | C4 | — | 63 | 1 | no | — |
| 895 | C4 | C2×D32×D7 | 1 | 1 | yes | characteristic |
| 896 | C3 | — | 2 | 1 | no | — |
| 897 | C3 | D3×#6477 | 1 | 2 | yes | complemented |
| 898 | C2 | — | 4 | 1 | no | — |
| 899 | C2 | — | 9 | 2 | no | — |
| 900 | C2 | — | 14 | 1 | no | — |
| 901 | C2 | — | 28 | 1 | no | — |
| 902 | C2 | — | 36 | 1 | no | — |
| 903 | C2 | — | 84 | 2 | no | — |
| 904 | C2 | — | 126 | 1 | no | — |
| 905 | C2 | — | 252 | 1 | no | — |
| 906 | C2 | D7×#3811 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72245845 | C2 | semidirect |
| 2. #72245843 | C2 | semidirect |
| 3. #72245842 | C2 | semidirect |
| 4. C3×#10621053 | C2 | semidirect |
| 5. #72245821 | C2 | semidirect |
| 6. #72245820 | C2 | semidirect |
| 7. #72245803 | C2 | semidirect |
| 8. C7×#63930 | C2 | semidirect |
| 9. #72245742 | C2 | semidirect |
| 10. #72245718 | C2 | semidirect |
| 11. D4×D7×C3⋊D3 | C2 | semidirect |
| 14. D4×C3⋊D21 | C22 | semidirect |
| 16. C32×D4×D7 | C22 | semidirect |
| 17. #11759635 | C22 | semidirect |
| 18. #11759602 | C22 | semidirect |
| 19. C7×#3797 | C22 | semidirect |
| 23. #11759568 | C22 | semidirect |
| 25. D7×C4⋊(C3⋊D3) | C22 | semidirect |
| 27. C3×#66677 | C22 | semidirect |
| 32. C3×#66632 | C22 | semidirect |
| 33. C3×C7×#214 | C22 | semidirect |
| 34. #11759217 | C22 | semidirect |
| 35. #11759214 | C22 | semidirect |
| 36. #11759202 | C22 | semidirect |
| 37. #11759195 | C22 | semidirect |
| 38. #11759193 | C22 | semidirect |
| 39. C7×#3717 | C22 | semidirect |
| 40. C7×#3710 | C22 | semidirect |
| 41. C3×#66563 | C22 | semidirect |
| 42. C3×#66561 | C22 | semidirect |
| 43. C3×#66557 | C22 | semidirect |
| 54. #10621053 | D3 | semidirect |
| 77. C3×D84 | C23 | semidirect |
| 78. C3×C7×Dic6 | C23 | semidirect |
| 95. C3×C3⋊(C7⋊C8) | C23 | semidirect |
| 96. C3×C7×C3⋊C8 | C23 | semidirect |
| 109. C3×D4×D7 | C2×D3 | semidirect |
| 131. #66677 | C2×D3 | semidirect |
| 136. #66632 | C2×D3 | semidirect |
| 140. C7×#214 | C2×D3 | semidirect |
| 148. #66563 | C2×D3 | semidirect |
| 151. #66561 | C2×D3 | semidirect |
| 154. #66557 | C2×D3 | semidirect |
| 162. #63930 | D7 | semidirect |
| 233. D84 | C22×D3 | semidirect |
| 246. C7×Dic6 | C22×D3 | semidirect |
| 278. C3⋊(C7⋊C8) | C22×D3 | semidirect |
| 280. C7×C3⋊C8 | C22×D3 | semidirect |
| 298. #3797 | C2×D7 | semidirect |
| 301. C3×#214 | C2×D7 | semidirect |
| 306. #3717 | C2×D7 | semidirect |
| 311. #3710 | C2×D7 | semidirect |
| 317. C7×C3⋊D3 | AGL(1,ℤ/8) | semidirect |
| 334. D4×D7 | D32 | semidirect |
| 448. C3×Dic6 | C22×D7 | semidirect |
| 455. C3×C3⋊C8 | C22×D7 | semidirect |
| 457. C32×C7 | C2×AGL(1,ℤ/8) | semidirect |
| 538. #214 | D3×D7 | semidirect |
| 705. Dic6 | C2×D3×D7 | semidirect |
| 709. C3⋊C8 | C2×D3×D7 | semidirect |
| 711. C3×C7 | D3×AGL(1,ℤ/8) | semidirect |
| 719. C3⋊D3 | #6477 | semidirect |
| 813. C32 | C2×#6477 | semidirect |
| 850. C7 | #10595100 | semidirect |
| 897. C3 | D3×#6477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72245845 | 2 |
| #72245843 | 2 |
| #72245842 | 2 |
| C3×#10621053 | 2 |
| #72245821 | 2 |
| #72245820 | 2 |
| #72245803 | 2 |
| C7×#63930 | 2 |
| #72245742 | 2 |
| #72245718 | 2 |
| D4×D7×C3⋊D3 | 2 |
| D3×#6477 | 3 |
| #10595100 | 7 |