Finite Group DatabasebetaFinite Group DatabasebetaOrder 13568.
4938 conjugacy classes of subgroups.
The subgroup lattice has 1232 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#16811459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×AGL(1,ℤ/8)×D53 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#16811189 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20283998 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #20283996 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #20283980 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #20283978 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #20283969 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20283968 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #20283967 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20283965 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20283963 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #20283231 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #20283158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#3006 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16811459 | — | 2 | 16 | no | — |
| 17 | C2×#13133265 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#13133264 | — | 2 | 1 | no | — |
| 19 | C2×#13133264 | C22 | 1 | 2 | yes | complemented |
| 20 | C2×#13133263 | — | 2 | 1 | no | — |
| 21 | C2×#13133263 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×#13133262 | — | 2 | 1 | no | — |
| 23 | C2×#13133262 | — | 2 | 1 | no | — |
| 24 | C2×#13133262 | C22 | 1 | 2 | yes | complemented |
| 25 | C22×#11719945 | — | 2 | 2 | no | — |
| 26 | C22×#11719945 | C22 | 1 | 1 | yes | characteristic |
| 27 | C22×#11719945 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×#41×D53 | — | 2 | 2 | no | — |
| 29 | C2×#41×D53 | C22 | 1 | 2 | yes | — |
| 30 | C2×#41×D53 | C22 | 1 | 2 | yes | complemented |
| 31 | C22×D4×D53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#13133245 | C22 | 1 | 2 | yes | complemented |
| 33 | C2×#13133244 | C22 | 1 | 4 | yes | complemented |
| 34 | C2×#13133243 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#13133242 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#13133241 | C22 | 1 | 4 | yes | complemented |
| 37 | AGL(1,ℤ/8)×D53 | — | 2 | 16 | no | — |
| 38 | C2×SD16×D53 | C22 | 1 | 4 | yes | complemented |
| 39 | C2×D8×D53 | C22 | 1 | 4 | yes | complemented |
| 40 | C2×M16×D53 | C22 | 1 | 2 | yes | complemented |
| 41 | #16811189 | — | 2 | 2 | no | — |
| 42 | #16811189 | — | 2 | 2 | no | — |
| 43 | #16811189 | C22 | 1 | 4 | yes | complemented |
| 44 | #16811189 | C22 | 1 | 4 | yes | complemented |
| 45 | C2×#13133213 | — | 2 | 1 | no | — |
| 46 | C2×#13133203 | — | 2 | 1 | no | — |
| 47 | C2×#13133192 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C2×#13133191 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#13133188 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×#13133187 | — | 2 | 1 | no | — |
| 51 | C2×#13133185 | — | 2 | 1 | no | — |
| 52 | C2×#13133175 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #16810771 | C22 | 1 | 4 | yes | complemented |
| 54 | #16810770 | C22 | 1 | 4 | yes | complemented |
| 55 | #16810769 | C22 | 1 | 4 | yes | complemented |
| 56 | #16810768 | C22 | 1 | 4 | yes | complemented |
| 57 | #16810767 | C22 | 1 | 4 | yes | complemented |
| 58 | #16810766 | C22 | 1 | 4 | yes | complemented |
| 59 | #16810765 | C22 | 1 | 4 | yes | complemented |
| 60 | #16810764 | C22 | 1 | 2 | yes | complemented |
| 61 | #16810763 | C22 | 1 | 4 | yes | complemented |
| 62 | #16810762 | C22 | 1 | 2 | yes | complemented |
| 63 | #16810761 | C22 | 1 | 2 | yes | complemented |
| 64 | #16810760 | C22 | 1 | 4 | yes | complemented |
| 65 | #16810759 | C22 | 1 | 2 | yes | complemented |
| 66 | #16810758 | C22 | 1 | 4 | yes | complemented |
| 67 | #16810757 | C22 | 1 | 2 | yes | complemented |
| 68 | #16810756 | C22 | 1 | 2 | yes | complemented |
| 69 | #16810755 | C22 | 1 | 4 | yes | complemented |
| 70 | #16810630 | C22 | 1 | 4 | yes | complemented |
| 71 | #16810626 | C22 | 1 | 4 | yes | complemented |
| 72 | #16810625 | C22 | 1 | 2 | yes | complemented |
| 73 | #16810624 | C22 | 1 | 2 | yes | complemented |
| 74 | #16810622 | C22 | 1 | 2 | yes | complemented |
| 75 | #16810618 | C22 | 1 | 4 | yes | complemented |
| 76 | #16810616 | C22 | 1 | 4 | yes | complemented |
| 77 | #16810588 | C22 | 1 | 4 | yes | complemented |
| 78 | #16810588 | C22 | 1 | 4 | yes | complemented |
| 79 | #16810587 | C22 | 1 | 1 | yes | characteristic, complemented |
| 80 | #16810586 | C22 | 1 | 2 | yes | complemented |
| 81 | C22×#41×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2×AGL(1,ℤ/8)×C53 | C22 | 1 | 2 | yes | complemented |
| 83 | C2×#121×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 84 | C53×#449 | C22 | 1 | 4 | yes | complemented |
| 85 | C53×#448 | C22 | 1 | 2 | yes | complemented |
| 86 | C53×#447 | C22 | 1 | 2 | yes | complemented |
| 87 | C53×#417 | C22 | 1 | 2 | yes | complemented |
| 88 | C53×#407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 89 | C24×D53 | — | 2 | 1 | no | — |
| 90 | #13133265 | — | 2 | 8 | no | — |
| 91 | #13133265 | — | 2 | 8 | no | — |
| 92 | #13133264 | — | 2 | 16 | no | — |
| 93 | #13133264 | — | 2 | 8 | no | — |
| 94 | #13133264 | — | 2 | 8 | no | — |
| 95 | #13133263 | — | 2 | 16 | no | — |
| 96 | #13133263 | — | 2 | 8 | no | — |
| 97 | #13133263 | — | 2 | 8 | no | — |
| 98 | #13133262 | — | 2 | 16 | no | — |
| 99 | #13133262 | — | 2 | 16 | no | — |
| 100 | #13133262 | — | 2 | 8 | no | — |
| 101 | #13133262 | — | 2 | 8 | no | — |
| 102 | C2×#11719949 | — | 2 | 2 | no | — |
| 103 | C2×#11719949 | C23 | 1 | 2 | yes | — |
| 104 | C2×#11719949 | C23 | 1 | 2 | yes | complemented |
| 105 | C2×#11719945 | — | 2 | 32 | no | — |
| 106 | C2×#11719945 | — | 2 | 1 | no | — |
| 107 | C2×#11719945 | — | 2 | 1 | no | — |
| 108 | C2×#11719945 | — | 2 | 2 | no | — |
| 109 | C2×#11719945 | — | 2 | 2 | no | — |
| 110 | C2×#11719945 | — | 2 | 8 | no | — |
| 111 | C2×#11719945 | — | 2 | 2 | no | — |
| 112 | C2×#11719945 | — | 2 | 2 | no | — |
| 113 | C2×#11719945 | — | 2 | 2 | no | — |
| 114 | C2×#11719945 | — | 2 | 8 | no | — |
| 115 | C2×#11719945 | — | 2 | 2 | no | — |
| 116 | C2×#11719945 | D4 | 1 | 2 | yes | — |
| 117 | C2×#11719945 | D4 | 1 | 2 | yes | — |
| 118 | C2×#11719945 | C23 | 1 | 2 | yes | — |
| 119 | C2×#11719945 | C23 | 1 | 2 | yes | — |
| 120 | C2×#11719945 | C23 | 1 | 2 | yes | — |
| 121 | C2×#11719945 | C23 | 1 | 2 | yes | complemented |
| 122 | C2×#11719947 | — | 2 | 2 | no | — |
| 123 | C2×#11719947 | — | 2 | 2 | no | — |
| 124 | C2×#11719947 | — | 2 | 2 | no | — |
| 125 | C2×#11719947 | — | 2 | 2 | no | — |
| 126 | C2×#11719947 | — | 2 | 2 | no | — |
| 127 | C2×#11719947 | C23 | 1 | 2 | yes | — |
| 128 | C2×#11719947 | C23 | 1 | 2 | yes | complemented |
| 129 | #41×D53 | — | 2 | 32 | no | — |
| 130 | #41×D53 | — | 2 | 8 | no | — |
| 131 | #41×D53 | — | 2 | 8 | no | — |
| 132 | #41×D53 | — | 2 | 8 | no | — |
| 133 | #41×D53 | D4 | 1 | 16 | yes | complemented |
| 134 | C22×Dic106 | — | 2 | 2 | no | — |
| 135 | C22×Dic106 | D4 | 1 | 1 | yes | characteristic |
| 136 | C22×Dic106 | C23 | 1 | 1 | yes | characteristic, complemented |
| 137 | C2×Q8×D53 | — | 2 | 2 | no | — |
| 138 | C2×Q8×D53 | C23 | 1 | 2 | yes | — |
| 139 | C2×Q8×D53 | C23 | 1 | 2 | yes | complemented |
| 140 | C22×D212 | — | 2 | 2 | no | — |
| 141 | C22×D212 | — | 2 | 1 | no | — |
| 142 | C22×D212 | D4 | 1 | 1 | yes | characteristic |
| 143 | C22×D212 | C23 | 1 | 1 | yes | characteristic |
| 144 | C22×D212 | C23 | 1 | 1 | yes | characteristic, complemented |
| 145 | C22×C22⋊D53 | — | 2 | 1 | no | — |
| 146 | C22×C22⋊D53 | — | 2 | 2 | no | — |
| 147 | C22×C22⋊D53 | — | 2 | 2 | no | — |
| 148 | C22×C22⋊D53 | — | 2 | 1 | no | — |
| 149 | C22×C22⋊D53 | — | 2 | 1 | no | — |
| 150 | C22×C22⋊D53 | — | 2 | 1 | no | — |
| 151 | C22×C22⋊D53 | D4 | 1 | 1 | yes | characteristic |
| 152 | C22×C22⋊D53 | D4 | 1 | 1 | yes | characteristic |
| 153 | C2×D4×D53 | — | 2 | 2 | no | — |
| 154 | C2×D4×D53 | — | 2 | 2 | no | — |
| 155 | C2×D4×D53 | — | 2 | 2 | no | — |
| 156 | C2×D4×D53 | — | 2 | 2 | no | — |
| 157 | C2×D4×D53 | — | 2 | 2 | no | — |
| 158 | C2×D4×D53 | — | 2 | 8 | no | — |
| 159 | C2×D4×D53 | — | 2 | 2 | no | — |
| 160 | C2×D4×D53 | C23 | 1 | 4 | yes | — |
| 161 | C2×D4×D53 | C23 | 1 | 2 | yes | — |
| 162 | C2×D4×D53 | C23 | 1 | 2 | yes | complemented |
| 163 | C22×C4×D53 | — | 2 | 1 | no | — |
| 164 | C22×C4×D53 | — | 2 | 2 | no | — |
| 165 | C22×C4×D53 | — | 2 | 2 | no | — |
| 166 | C22×C4×D53 | C23 | 1 | 1 | yes | characteristic |
| 167 | C22×C4×D53 | C23 | 1 | 1 | yes | characteristic |
| 168 | #13133245 | — | 2 | 8 | no | — |
| 169 | #13133244 | — | 2 | 16 | no | — |
| 170 | #13133243 | — | 2 | 8 | no | — |
| 171 | #13133242 | — | 2 | 8 | no | — |
| 172 | #13133241 | — | 2 | 16 | no | — |
| 173 | C2×#11719913 | C23 | 1 | 4 | yes | — |
| 174 | C2×#11719923 | C23 | 1 | 4 | yes | — |
| 175 | C2×#11719924 | C23 | 1 | 4 | yes | — |
| 176 | SD16×D53 | — | 2 | 16 | no | — |
| 177 | C2×D424 | C23 | 1 | 4 | yes | — |
| 178 | C2×#11719922 | C23 | 1 | 4 | yes | — |
| 179 | C2×#11719922 | C23 | 1 | 4 | yes | — |
| 180 | D8×D53 | — | 2 | 16 | no | — |
| 181 | C2×#11719917 | C23 | 1 | 2 | yes | — |
| 182 | C2×#11719912 | C23 | 1 | 4 | yes | — |
| 183 | M16×D53 | — | 2 | 8 | no | — |
| 184 | C2×C8×D53 | C23 | 1 | 4 | yes | — |
| 185 | #13133213 | — | 2 | 4 | no | — |
| 186 | #13133213 | — | 2 | 4 | no | — |
| 187 | #13133203 | — | 2 | 4 | no | — |
| 188 | #13133203 | — | 2 | 4 | no | — |
| 189 | #13133192 | — | 2 | 2 | no | — |
| 190 | #13133192 | C23 | 1 | 4 | yes | — |
| 191 | #13133191 | — | 2 | 1 | no | — |
| 192 | #13133191 | — | 2 | 1 | no | — |
| 193 | #13133191 | C23 | 1 | 2 | yes | — |
| 194 | #13133191 | C23 | 1 | 2 | yes | — |
| 195 | #13133188 | — | 2 | 2 | no | — |
| 196 | #13133188 | C23 | 1 | 4 | yes | — |
| 197 | #13133187 | — | 2 | 4 | no | — |
| 198 | #13133187 | — | 2 | 4 | no | — |
| 199 | #13133185 | — | 2 | 4 | no | — |
| 200 | #13133185 | — | 2 | 4 | no | — |
| 201 | #13133175 | — | 2 | 2 | no | — |
| 202 | #13133175 | C23 | 1 | 4 | yes | — |
| 203 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 204 | C2×C22⋊Dic53 | — | 2 | 1 | no | — |
| 205 | C2×#11719921 | — | 2 | 1 | no | — |
| 206 | C2×#11719921 | — | 2 | 1 | no | — |
| 207 | C2×#11719921 | — | 2 | 1 | no | — |
| 208 | C2×C4×Dic53 | — | 2 | 1 | no | — |
| 209 | #13133142 | C23 | 1 | 4 | yes | complemented |
| 210 | #13133141 | C23 | 1 | 4 | yes | complemented |
| 211 | #13133140 | C23 | 1 | 4 | yes | complemented |
| 212 | #13133139 | C23 | 1 | 4 | yes | complemented |
| 213 | #13133138 | C23 | 1 | 4 | yes | complemented |
| 214 | #13133137 | C23 | 1 | 4 | yes | complemented |
| 215 | C22⋊#88322 | C23 | 1 | 2 | yes | complemented |
| 216 | C22⋊#88322 | C23 | 1 | 2 | yes | complemented |
| 217 | #13133129 | C23 | 1 | 4 | yes | complemented |
| 218 | #13133129 | C23 | 1 | 4 | yes | complemented |
| 219 | C2×#41×C53 | — | 2 | 8 | no | — |
| 220 | C2×#41×C53 | — | 2 | 1 | no | — |
| 221 | C2×#41×C53 | — | 2 | 1 | no | — |
| 222 | C2×#41×C53 | C23 | 1 | 2 | yes | — |
| 223 | C2×#41×C53 | C23 | 1 | 2 | yes | complemented |
| 224 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic, complemented |
| 225 | C22×D4×C53 | — | 2 | 1 | no | — |
| 226 | C22×D4×C53 | — | 2 | 1 | no | — |
| 227 | C22×D4×C53 | C23 | 1 | 1 | yes | characteristic |
| 228 | C22×D4×C53 | C23 | 1 | 1 | yes | characteristic, complemented |
| 229 | C23×C4×C53 | — | 2 | 1 | no | — |
| 230 | C23×C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 231 | AGL(1,ℤ/8)×C53 | — | 2 | 8 | no | — |
| 232 | C2×SD16×C53 | C23 | 1 | 4 | yes | — |
| 233 | C2×D8×C53 | C23 | 1 | 4 | yes | — |
| 234 | C2×M16×C53 | C23 | 1 | 2 | yes | — |
| 235 | #121×C53 | — | 2 | 1 | no | — |
| 236 | #121×C53 | — | 2 | 1 | no | — |
| 237 | #121×C53 | C23 | 1 | 2 | yes | — |
| 238 | #121×C53 | C23 | 1 | 2 | yes | — |
| 239 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 240 | C2×C22⋊C4×C53 | — | 2 | 1 | no | — |
| 241 | #103×C53 | C23 | 1 | 4 | yes | complemented |
| 242 | #102×C53 | C23 | 1 | 4 | yes | complemented |
| 243 | C22⋊C8×C53 | C23 | 1 | 2 | yes | complemented |
| 244 | C22⋊C8×C53 | C23 | 1 | 2 | yes | complemented |
| 245 | C24×C53 | — | 2 | 1 | no | — |
| 246 | C24×C53 | — | 2 | 1 | no | — |
| 247 | C24×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C23×D53 | — | 2 | 1 | no | — |
| 249 | C23×D53 | — | 2 | 2 | no | — |
| 250 | C23×D53 | — | 2 | 2 | no | — |
| 251 | C23×D53 | — | 2 | 1 | no | — |
| 252 | C23×D53 | — | 2 | 4 | no | — |
| 253 | C23×D53 | — | 4 | 4 | no | — |
| 254 | C23×D53 | — | 8 | 2 | no | — |
| 255 | C23×D53 | — | 8 | 2 | no | — |
| 256 | C23×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C23×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | #41×C53 | — | 2 | 8 | no | — |
| 259 | #41×C53 | — | 2 | 8 | no | — |
| 260 | #41×C53 | — | 2 | 4 | no | — |
| 261 | #41×C53 | — | 2 | 4 | no | — |
| 262 | #41×C53 | — | 2 | 4 | no | — |
| 263 | #41×C53 | C2×D4 | 1 | 8 | yes | — |
| 264 | C2×Q8×C53 | — | 2 | 4 | no | — |
| 265 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 266 | C2×Q8×C53 | C24 | 1 | 2 | yes | — |
| 267 | C2×D4×C53 | — | 2 | 8 | no | — |
| 268 | C2×D4×C53 | — | 2 | 2 | no | — |
| 269 | C2×D4×C53 | — | 2 | 2 | no | — |
| 270 | C2×D4×C53 | — | 2 | 4 | no | — |
| 271 | C2×D4×C53 | — | 2 | 2 | no | — |
| 272 | C2×D4×C53 | — | 2 | 2 | no | — |
| 273 | C2×D4×C53 | — | 2 | 1 | no | — |
| 274 | C2×D4×C53 | — | 2 | 4 | no | — |
| 275 | C2×D4×C53 | — | 2 | 1 | no | — |
| 276 | C2×D4×C53 | — | 8 | 2 | no | — |
| 277 | C2×D4×C53 | C24 | 1 | 2 | yes | — |
| 278 | C2×D4×C53 | C24 | 1 | 2 | yes | — |
| 279 | C22×C4×C53 | — | 2 | 8 | no | — |
| 280 | C22×C4×C53 | — | 2 | 1 | no | — |
| 281 | C22×C4×C53 | — | 2 | 2 | no | — |
| 282 | C22×C4×C53 | — | 2 | 2 | no | — |
| 283 | C22×C4×C53 | — | 2 | 4 | no | — |
| 284 | C22×C4×C53 | — | 2 | 1 | no | — |
| 285 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 286 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 287 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 289 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 290 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 291 | C2×C22⋊D53 | — | 2 | 8 | no | — |
| 292 | C2×C22⋊D53 | — | 2 | 16 | no | — |
| 293 | C2×C22⋊D53 | — | 2 | 16 | no | — |
| 294 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 295 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 296 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 297 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 298 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 299 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 300 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 301 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 302 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 303 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 304 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 305 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 306 | C2×C22⋊D53 | — | 4 | 4 | no | — |
| 307 | C2×C22⋊D53 | — | 8 | 2 | no | — |
| 308 | C2×C22⋊D53 | — | 8 | 2 | no | — |
| 309 | C2×C22⋊D53 | C2×D4 | 1 | 2 | yes | — |
| 310 | C2×C22⋊D53 | C2×D4 | 1 | 2 | yes | — |
| 311 | C2×C22⋊D53 | C2×D4 | 1 | 2 | yes | — |
| 312 | C2×C22⋊D53 | C2×D4 | 1 | 2 | yes | — |
| 313 | C22×Dic53 | — | 2 | 1 | no | — |
| 314 | C22×Dic53 | — | 2 | 2 | no | — |
| 315 | C22×Dic53 | — | 2 | 2 | no | — |
| 316 | C22×Dic53 | — | 2 | 1 | no | — |
| 317 | C22×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 318 | C22×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 319 | #11719949 | — | 2 | 16 | no | — |
| 320 | #11719949 | — | 2 | 4 | no | — |
| 321 | #11719949 | — | 2 | 4 | no | — |
| 322 | #11719949 | — | 2 | 4 | no | — |
| 323 | #11719949 | C2×D4 | 1 | 8 | yes | complemented |
| 324 | Q8×D53 | — | 2 | 16 | no | — |
| 325 | Q8×D53 | — | 2 | 4 | no | — |
| 326 | Q8×D53 | — | 2 | 4 | no | — |
| 327 | Q8×D53 | — | 2 | 4 | no | — |
| 328 | Q8×D53 | C2×D4 | 1 | 8 | yes | complemented |
| 329 | #11719947 | — | 2 | 16 | no | — |
| 330 | #11719947 | — | 2 | 16 | no | — |
| 331 | #11719947 | — | 2 | 16 | no | — |
| 332 | #11719947 | — | 2 | 16 | no | — |
| 333 | #11719947 | — | 2 | 4 | no | — |
| 334 | #11719947 | — | 2 | 16 | no | — |
| 335 | #11719947 | — | 2 | 4 | no | — |
| 336 | #11719947 | — | 2 | 4 | no | — |
| 337 | #11719947 | C2×D4 | 1 | 8 | yes | complemented |
| 338 | D4×D53 | — | 2 | 16 | no | — |
| 339 | D4×D53 | — | 2 | 16 | no | — |
| 340 | D4×D53 | — | 2 | 16 | no | — |
| 341 | D4×D53 | — | 2 | 16 | no | — |
| 342 | D4×D53 | — | 2 | 16 | no | — |
| 343 | D4×D53 | — | 2 | 4 | no | — |
| 344 | D4×D53 | — | 2 | 4 | no | — |
| 345 | D4×D53 | — | 2 | 4 | no | — |
| 346 | D4×D53 | — | 2 | 8 | no | — |
| 347 | D4×D53 | — | 2 | 8 | no | — |
| 348 | D4×D53 | — | 4 | 8 | no | — |
| 349 | D4×D53 | C2×D4 | 1 | 8 | yes | complemented |
| 350 | #11719945 | — | 2 | 16 | no | — |
| 351 | #11719945 | — | 2 | 8 | no | — |
| 352 | #11719945 | — | 2 | 16 | no | — |
| 353 | #11719945 | — | 2 | 16 | no | — |
| 354 | #11719945 | — | 2 | 8 | no | — |
| 355 | #11719945 | — | 2 | 16 | no | — |
| 356 | #11719945 | — | 2 | 16 | no | — |
| 357 | #11719945 | — | 2 | 4 | no | — |
| 358 | #11719945 | — | 2 | 4 | no | — |
| 359 | #11719945 | — | 2 | 8 | no | — |
| 360 | #11719945 | — | 2 | 16 | no | — |
| 361 | #11719945 | — | 2 | 8 | no | — |
| 362 | #11719945 | — | 2 | 4 | no | — |
| 363 | #11719945 | — | 2 | 4 | no | — |
| 364 | #11719945 | — | 2 | 4 | no | — |
| 365 | #11719945 | — | 2 | 4 | no | — |
| 366 | #11719945 | — | 2 | 4 | no | — |
| 367 | #11719945 | C2×D4 | 1 | 8 | yes | — |
| 368 | C2×D212 | — | 2 | 16 | no | — |
| 369 | C2×D212 | — | 2 | 4 | no | — |
| 370 | C2×D212 | — | 2 | 2 | no | — |
| 371 | C2×D212 | — | 2 | 2 | no | — |
| 372 | C2×D212 | — | 2 | 1 | no | — |
| 373 | C2×D212 | — | 2 | 4 | no | — |
| 374 | C2×D212 | — | 2 | 4 | no | — |
| 375 | C2×D212 | — | 2 | 1 | no | — |
| 376 | C2×D212 | — | 2 | 4 | no | — |
| 377 | C2×D212 | — | 8 | 2 | no | — |
| 378 | C2×D212 | C2×D4 | 1 | 2 | yes | — |
| 379 | C2×D212 | C2×D4 | 1 | 2 | yes | — |
| 380 | C2×D212 | C24 | 1 | 2 | yes | — |
| 381 | C2×D212 | C24 | 1 | 2 | yes | — |
| 382 | C2×C4×D53 | — | 2 | 8 | no | — |
| 383 | C2×C4×D53 | — | 2 | 16 | no | — |
| 384 | C2×C4×D53 | — | 2 | 2 | no | — |
| 385 | C2×C4×D53 | — | 2 | 2 | no | — |
| 386 | C2×C4×D53 | — | 2 | 2 | no | — |
| 387 | C2×C4×D53 | — | 2 | 2 | no | — |
| 388 | C2×C4×D53 | — | 2 | 4 | no | — |
| 389 | C2×C4×D53 | — | 2 | 2 | no | — |
| 390 | C2×C4×D53 | — | 2 | 2 | no | — |
| 391 | C2×C4×D53 | — | 2 | 16 | no | — |
| 392 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 393 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 394 | C2×C4×D53 | C2×D4 | 1 | 8 | yes | — |
| 395 | C2×C4×D53 | C24 | 1 | 2 | yes | — |
| 396 | C2×C4×D53 | C24 | 1 | 2 | yes | — |
| 397 | C2×Dic106 | — | 2 | 16 | no | — |
| 398 | C2×Dic106 | — | 2 | 1 | no | — |
| 399 | C2×Dic106 | — | 2 | 4 | no | — |
| 400 | C2×Dic106 | — | 2 | 2 | no | — |
| 401 | C2×Dic106 | — | 2 | 2 | no | — |
| 402 | C2×Dic106 | — | 2 | 4 | no | — |
| 403 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 404 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 405 | C2×Dic106 | C24 | 1 | 2 | yes | — |
| 406 | SD16×C53 | — | 2 | 8 | no | — |
| 407 | D8×C53 | — | 2 | 8 | no | — |
| 408 | M16×C53 | — | 2 | 4 | no | — |
| 409 | C2×C8×C53 | C24 | 1 | 4 | yes | — |
| 410 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 411 | C4⋊C4×C53 | C24 | 1 | 2 | yes | — |
| 412 | C22⋊C4×C53 | — | 2 | 2 | no | — |
| 413 | C22⋊C4×C53 | — | 2 | 2 | no | — |
| 414 | C22⋊Dic53 | — | 2 | 4 | no | — |
| 415 | #11719924 | — | 2 | 8 | no | — |
| 416 | #11719923 | — | 2 | 8 | no | — |
| 417 | #11719922 | — | 2 | 8 | no | — |
| 418 | #11719922 | — | 2 | 8 | no | — |
| 419 | #11719921 | — | 2 | 4 | no | — |
| 420 | #11719921 | — | 2 | 2 | no | — |
| 421 | #11719921 | — | 2 | 2 | no | — |
| 422 | #11719921 | — | 2 | 4 | no | — |
| 423 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 424 | C4⋊Dic53 | C24 | 1 | 2 | yes | — |
| 425 | C4×Dic53 | — | 2 | 4 | no | — |
| 426 | #11719917 | — | 2 | 4 | no | — |
| 427 | C2×#88322 | C24 | 1 | 4 | yes | — |
| 428 | D424 | — | 2 | 8 | no | — |
| 429 | #11719913 | — | 2 | 8 | no | — |
| 430 | #11719912 | — | 2 | 8 | no | — |
| 431 | C8×D53 | — | 2 | 8 | no | — |
| 432 | C23×C53 | — | 2 | 4 | no | — |
| 433 | C23×C53 | — | 2 | 2 | no | — |
| 434 | C23×C53 | — | 2 | 2 | no | — |
| 435 | C23×C53 | — | 2 | 2 | no | — |
| 436 | C23×C53 | — | 4 | 1 | no | — |
| 437 | C23×C53 | — | 4 | 1 | no | — |
| 438 | C23×C53 | — | 4 | 2 | no | — |
| 439 | C23×C53 | — | 4 | 2 | no | — |
| 440 | C23×C53 | — | 4 | 2 | no | — |
| 441 | C23×C53 | — | 8 | 1 | no | — |
| 442 | C23×C53 | — | 8 | 1 | no | — |
| 443 | C23×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 444 | C23×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 445 | C23×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 446 | C22×D53 | — | 2 | 2 | no | — |
| 447 | C22×D53 | — | 2 | 8 | no | — |
| 448 | C22×D53 | — | 2 | 4 | no | — |
| 449 | C22×D53 | — | 2 | 2 | no | — |
| 450 | C22×D53 | — | 2 | 8 | no | — |
| 451 | C22×D53 | — | 2 | 2 | no | — |
| 452 | C22×D53 | — | 4 | 1 | no | — |
| 453 | C22×D53 | — | 4 | 1 | no | — |
| 454 | C22×D53 | — | 4 | 1 | no | — |
| 455 | C22×D53 | — | 4 | 1 | no | — |
| 456 | C22×D53 | — | 4 | 2 | no | — |
| 457 | C22×D53 | — | 4 | 2 | no | — |
| 458 | C22×D53 | — | 4 | 2 | no | — |
| 459 | C22×D53 | — | 4 | 8 | no | — |
| 460 | C22×D53 | — | 8 | 2 | no | — |
| 461 | C22×D53 | — | 8 | 2 | no | — |
| 462 | C22×D53 | — | 8 | 2 | no | — |
| 463 | C22×D53 | — | 8 | 2 | no | — |
| 464 | C22×D53 | — | 8 | 4 | no | — |
| 465 | C22×D53 | — | 8 | 4 | no | — |
| 466 | C22×D53 | — | 8 | 1 | no | — |
| 467 | C22×D53 | — | 8 | 1 | no | — |
| 468 | C22×D53 | — | 8 | 16 | no | — |
| 469 | C22×D53 | #120 | 1 | 4 | yes | — |
| 470 | C22×D53 | C22×D4 | 1 | 2 | yes | — |
| 471 | C22×D53 | C22×D4 | 1 | 2 | yes | — |
| 472 | Q8×C53 | — | 2 | 4 | no | — |
| 473 | Q8×C53 | — | 2 | 2 | no | — |
| 474 | Q8×C53 | C22×D4 | 1 | 4 | yes | — |
| 475 | D4×C53 | — | 2 | 8 | no | — |
| 476 | D4×C53 | — | 2 | 4 | no | — |
| 477 | D4×C53 | — | 2 | 8 | no | — |
| 478 | D4×C53 | — | 2 | 2 | no | — |
| 479 | D4×C53 | — | 2 | 4 | no | — |
| 480 | D4×C53 | — | 4 | 2 | no | — |
| 481 | D4×C53 | — | 8 | 2 | no | — |
| 482 | D4×C53 | — | 8 | 2 | no | — |
| 483 | D4×C53 | C22×D4 | 1 | 4 | yes | — |
| 484 | C2×C4×C53 | — | 2 | 8 | no | — |
| 485 | C2×C4×C53 | — | 2 | 4 | no | — |
| 486 | C2×C4×C53 | — | 2 | 2 | no | — |
| 487 | C2×C4×C53 | — | 2 | 2 | no | — |
| 488 | C2×C4×C53 | — | 2 | 8 | no | — |
| 489 | C2×C4×C53 | — | 2 | 2 | no | — |
| 490 | C2×C4×C53 | — | 2 | 2 | no | — |
| 491 | C2×C4×C53 | — | 2 | 2 | no | — |
| 492 | C2×C4×C53 | — | 2 | 2 | no | — |
| 493 | C2×C4×C53 | — | 2 | 2 | no | — |
| 494 | C2×C4×C53 | — | 4 | 2 | no | — |
| 495 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 496 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 497 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 498 | C2×C4×C53 | C22×D4 | 1 | 4 | yes | — |
| 499 | C2×C4×C53 | C25 | 1 | 1 | yes | characteristic |
| 500 | C22⋊D53 | — | 2 | 8 | no | — |
| 501 | C22⋊D53 | — | 2 | 8 | no | — |
| 502 | C22⋊D53 | — | 2 | 8 | no | — |
| 503 | C22⋊D53 | — | 2 | 8 | no | — |
| 504 | C22⋊D53 | — | 2 | 4 | no | — |
| 505 | C22⋊D53 | — | 2 | 4 | no | — |
| 506 | C22⋊D53 | — | 2 | 8 | no | — |
| 507 | C22⋊D53 | — | 2 | 4 | no | — |
| 508 | C22⋊D53 | — | 2 | 4 | no | — |
| 509 | C22⋊D53 | — | 2 | 8 | no | — |
| 510 | C22⋊D53 | — | 4 | 8 | no | — |
| 511 | C22⋊D53 | — | 8 | 4 | no | — |
| 512 | C22⋊D53 | — | 8 | 2 | no | — |
| 513 | C22⋊D53 | — | 8 | 2 | no | — |
| 514 | C2×Dic53 | — | 2 | 8 | no | — |
| 515 | C2×Dic53 | — | 2 | 4 | no | — |
| 516 | C2×Dic53 | — | 2 | 2 | no | — |
| 517 | C2×Dic53 | — | 2 | 2 | no | — |
| 518 | C2×Dic53 | — | 2 | 8 | no | — |
| 519 | C2×Dic53 | — | 2 | 2 | no | — |
| 520 | C2×Dic53 | — | 4 | 2 | no | — |
| 521 | C2×Dic53 | #120 | 1 | 4 | yes | — |
| 522 | C2×Dic53 | C22×D4 | 1 | 2 | yes | — |
| 523 | C2×Dic53 | C22×D4 | 1 | 2 | yes | — |
| 524 | D212 | — | 2 | 4 | no | — |
| 525 | D212 | — | 2 | 8 | no | — |
| 526 | D212 | — | 2 | 4 | no | — |
| 527 | D212 | — | 2 | 8 | no | — |
| 528 | D212 | — | 2 | 4 | no | — |
| 529 | D212 | — | 2 | 2 | no | — |
| 530 | D212 | — | 2 | 4 | no | — |
| 531 | D212 | — | 4 | 2 | no | — |
| 532 | D212 | — | 8 | 4 | no | — |
| 533 | D212 | C22×D4 | 1 | 4 | yes | — |
| 534 | C4×D53 | — | 2 | 8 | no | — |
| 535 | C4×D53 | — | 2 | 8 | no | — |
| 536 | C4×D53 | — | 2 | 8 | no | — |
| 537 | C4×D53 | — | 2 | 8 | no | — |
| 538 | C4×D53 | — | 2 | 8 | no | — |
| 539 | C4×D53 | — | 2 | 4 | no | — |
| 540 | C4×D53 | — | 2 | 2 | no | — |
| 541 | C4×D53 | — | 2 | 2 | no | — |
| 542 | C4×D53 | — | 2 | 8 | no | — |
| 543 | C4×D53 | #120 | 1 | 8 | yes | — |
| 544 | C4×D53 | C22×D4 | 1 | 4 | yes | — |
| 545 | C4×D53 | C22×D4 | 1 | 4 | yes | — |
| 546 | Dic106 | — | 2 | 4 | no | — |
| 547 | Dic106 | — | 2 | 8 | no | — |
| 548 | Dic106 | — | 2 | 2 | no | — |
| 549 | Dic106 | — | 2 | 4 | no | — |
| 550 | Dic106 | — | 2 | 8 | no | — |
| 551 | Dic106 | — | 2 | 4 | no | — |
| 552 | Dic106 | C22×D4 | 1 | 4 | yes | — |
| 553 | C8×C53 | — | 2 | 4 | no | — |
| 554 | #88322 | — | 2 | 4 | no | — |
| 555 | #60369 | — | 53 | 1 | no | maximal, Sylow |
| 556 | C22×C53 | — | 2 | 1 | no | — |
| 557 | C22×C53 | — | 2 | 1 | no | — |
| 558 | C22×C53 | — | 2 | 1 | no | — |
| 559 | C22×C53 | — | 2 | 1 | no | — |
| 560 | C22×C53 | — | 2 | 1 | no | — |
| 561 | C22×C53 | — | 2 | 1 | no | — |
| 562 | C22×C53 | — | 2 | 1 | no | — |
| 563 | C22×C53 | — | 2 | 4 | no | — |
| 564 | C22×C53 | — | 2 | 1 | no | — |
| 565 | C22×C53 | — | 4 | 2 | no | — |
| 566 | C22×C53 | — | 4 | 2 | no | — |
| 567 | C22×C53 | — | 4 | 2 | no | — |
| 568 | C22×C53 | — | 4 | 2 | no | — |
| 569 | C22×C53 | — | 4 | 2 | no | — |
| 570 | C22×C53 | — | 8 | 2 | no | — |
| 571 | C22×C53 | — | 8 | 4 | no | — |
| 572 | C22×C53 | — | 8 | 4 | no | — |
| 573 | C22×C53 | C2×#120 | 1 | 2 | yes | — |
| 574 | C22×C53 | C23×D4 | 1 | 1 | yes | characteristic |
| 575 | C2×D53 | — | 2 | 2 | no | — |
| 576 | C2×D53 | — | 2 | 2 | no | — |
| 577 | C2×D53 | — | 2 | 2 | no | — |
| 578 | C2×D53 | — | 2 | 2 | no | — |
| 579 | C2×D53 | — | 2 | 2 | no | — |
| 580 | C2×D53 | — | 2 | 4 | no | — |
| 581 | C2×D53 | — | 4 | 4 | no | — |
| 582 | C2×D53 | — | 4 | 2 | no | — |
| 583 | C2×D53 | — | 4 | 2 | no | — |
| 584 | C2×D53 | — | 4 | 2 | no | — |
| 585 | C2×D53 | — | 4 | 2 | no | — |
| 586 | C2×D53 | — | 4 | 2 | no | — |
| 587 | C2×D53 | — | 8 | 8 | no | — |
| 588 | C2×D53 | — | 8 | 16 | no | — |
| 589 | C2×D53 | — | 8 | 2 | no | — |
| 590 | C2×D53 | — | 8 | 8 | no | — |
| 591 | C2×D53 | — | 8 | 4 | no | — |
| 592 | C2×D53 | — | 8 | 4 | no | — |
| 593 | C2×D53 | C2×#120 | 1 | 4 | yes | — |
| 594 | C4×C53 | — | 2 | 1 | no | — |
| 595 | C4×C53 | — | 2 | 4 | no | — |
| 596 | C4×C53 | — | 2 | 1 | no | — |
| 597 | C4×C53 | — | 4 | 2 | no | — |
| 598 | C4×C53 | C2×#120 | 1 | 2 | yes | — |
| 599 | C4×C53 | C23×D4 | 1 | 2 | yes | — |
| 600 | Dic53 | — | 2 | 2 | no | — |
| 601 | Dic53 | — | 2 | 4 | no | — |
| 602 | Dic53 | — | 4 | 2 | no | — |
| 603 | Dic53 | C2×#120 | 1 | 4 | yes | — |
| 604 | C2×#585 | — | 53 | 1 | no | — |
| 605 | C22×AGL(1,ℤ/8) | — | 53 | 2 | no | — |
| 606 | C2×#535 | — | 53 | 1 | no | — |
| 607 | #3010 | — | 53 | 4 | no | — |
| 608 | #3010 | — | 53 | 4 | no | — |
| 609 | #3008 | — | 53 | 4 | no | — |
| 610 | #3008 | — | 53 | 4 | no | — |
| 611 | #3006 | — | 53 | 2 | no | — |
| 612 | #3006 | — | 53 | 1 | no | — |
| 613 | #3006 | — | 53 | 1 | no | — |
| 614 | #3006 | — | 53 | 2 | no | — |
| 615 | #3006 | — | 53 | 1 | no | — |
| 616 | #3006 | D53 | 1 | 1 | yes | characteristic, complemented |
| 617 | #2896 | — | 53 | 2 | no | — |
| 618 | #2879 | — | 53 | 1 | no | — |
| 619 | C2×C53 | — | 2 | 2 | no | — |
| 620 | C2×C53 | — | 4 | 1 | no | — |
| 621 | C2×C53 | — | 4 | 4 | no | — |
| 622 | C2×C53 | — | 4 | 1 | no | — |
| 623 | C2×C53 | — | 8 | 2 | no | — |
| 624 | C2×C53 | C22×#120 | 1 | 1 | yes | characteristic |
| 625 | C2×C53 | #3585 | 1 | 1 | yes | characteristic |
| 626 | C2×C53 | #3585 | 1 | 1 | yes | characteristic |
| 627 | D53 | — | 2 | 4 | no | — |
| 628 | D53 | — | 4 | 2 | no | — |
| 629 | D53 | — | 4 | 4 | no | — |
| 630 | D53 | — | 8 | 2 | no | — |
| 631 | #585 | — | 106 | 16 | no | — |
| 632 | C2×2−1+4 | — | 53 | 2 | no | — |
| 633 | C2×2−1+4 | — | 53 | 2 | no | — |
| 634 | C2×2−1+4 | — | 106 | 1 | no | — |
| 635 | C2×H(5,𝔽2) | — | 53 | 2 | no | — |
| 636 | C2×H(5,𝔽2) | — | 53 | 2 | no | — |
| 637 | C2×H(5,𝔽2) | — | 106 | 1 | no | — |
| 638 | C2×H(5,𝔽2) | — | 106 | 1 | no | — |
| 639 | C2×H(5,𝔽2) | — | 106 | 1 | no | — |
| 640 | C22×#41 | — | 53 | 1 | no | — |
| 641 | C22×#41 | — | 53 | 2 | no | — |
| 642 | C22×#41 | — | 53 | 2 | no | — |
| 643 | C22×#41 | — | 53 | 1 | no | — |
| 644 | C22×#41 | — | 106 | 2 | no | — |
| 645 | C22×#41 | — | 106 | 2 | no | — |
| 646 | C22×#41 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 647 | C23×D4 | — | 53 | 1 | no | — |
| 648 | C2×AGL(1,ℤ/8) | — | 53 | 2 | no | — |
| 649 | C2×AGL(1,ℤ/8) | — | 53 | 2 | no | — |
| 650 | C2×AGL(1,ℤ/8) | — | 53 | 4 | no | — |
| 651 | C2×AGL(1,ℤ/8) | — | 53 | 4 | no | — |
| 652 | C2×AGL(1,ℤ/8) | — | 53 | 2 | no | — |
| 653 | C2×AGL(1,ℤ/8) | — | 106 | 16 | no | — |
| 654 | C2×AGL(1,ℤ/8) | C2×D53 | 1 | 2 | yes | complemented |
| 655 | C22×SD16 | — | 53 | 4 | no | — |
| 656 | C22×D8 | — | 53 | 4 | no | — |
| 657 | C22×M16 | — | 53 | 2 | no | — |
| 658 | #535 | — | 53 | 4 | no | — |
| 659 | #535 | — | 53 | 4 | no | — |
| 660 | #535 | — | 106 | 2 | no | — |
| 661 | #535 | — | 106 | 2 | no | — |
| 662 | C2×#127 | — | 106 | 1 | no | — |
| 663 | C2×#124 | — | 106 | 1 | no | — |
| 664 | C2×#121 | — | 53 | 1 | no | — |
| 665 | C2×#121 | — | 53 | 1 | no | — |
| 666 | C2×#121 | — | 53 | 1 | no | — |
| 667 | C2×#121 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 668 | C2×#120 | — | 106 | 1 | no | — |
| 669 | C2×#120 | — | 106 | 1 | no | — |
| 670 | C2×#117 | — | 53 | 1 | no | — |
| 671 | #449 | — | 53 | 4 | no | — |
| 672 | #449 | — | 53 | 4 | no | — |
| 673 | #449 | — | 53 | 4 | no | — |
| 674 | #449 | — | 53 | 4 | no | — |
| 675 | #449 | — | 53 | 4 | no | — |
| 676 | #449 | — | 53 | 4 | no | — |
| 677 | #449 | — | 53 | 4 | no | — |
| 678 | #449 | C2×D53 | 1 | 4 | yes | complemented |
| 679 | #448 | — | 53 | 2 | no | — |
| 680 | #448 | — | 53 | 4 | no | — |
| 681 | #448 | — | 53 | 2 | no | — |
| 682 | #448 | — | 53 | 4 | no | — |
| 683 | #448 | — | 53 | 2 | no | — |
| 684 | #448 | C2×D53 | 1 | 2 | yes | complemented |
| 685 | #447 | — | 53 | 2 | no | — |
| 686 | #447 | — | 53 | 4 | no | — |
| 687 | #447 | — | 53 | 2 | no | — |
| 688 | #447 | — | 53 | 4 | no | — |
| 689 | #447 | — | 53 | 2 | no | — |
| 690 | #447 | C2×D53 | 1 | 2 | yes | complemented |
| 691 | #419 | — | 53 | 4 | no | — |
| 692 | #418 | — | 53 | 4 | no | — |
| 693 | #417 | — | 53 | 2 | no | — |
| 694 | #417 | — | 53 | 2 | no | — |
| 695 | #417 | — | 53 | 2 | no | — |
| 696 | #417 | C2×D53 | 1 | 2 | yes | complemented |
| 697 | #416 | — | 53 | 4 | no | — |
| 698 | #416 | — | 53 | 4 | no | — |
| 699 | #408 | — | 53 | 4 | no | — |
| 700 | #408 | — | 53 | 4 | no | — |
| 701 | #407 | — | 53 | 1 | no | — |
| 702 | #407 | — | 53 | 2 | no | — |
| 703 | #407 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 704 | C53 | #60369 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 705 | C25 | — | 106 | 1 | no | — |
| 706 | 2−1+4 | — | 106 | 8 | no | — |
| 707 | 2−1+4 | — | 106 | 8 | no | — |
| 708 | 2−1+4 | — | 106 | 8 | no | — |
| 709 | 2−1+4 | — | 106 | 8 | no | — |
| 710 | 2−1+4 | — | 106 | 16 | no | — |
| 711 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 712 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 713 | H(5,𝔽2) | — | 106 | 16 | no | — |
| 714 | H(5,𝔽2) | — | 106 | 16 | no | — |
| 715 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 716 | H(5,𝔽2) | — | 106 | 8 | no | — |
| 717 | H(5,𝔽2) | — | 106 | 16 | no | — |
| 718 | C2×#41 | — | 2 | 8 | no | — |
| 719 | C2×#41 | — | 2 | 1 | no | — |
| 720 | C2×#41 | — | 2 | 1 | no | — |
| 721 | C2×#41 | — | 53 | 2 | no | — |
| 722 | C2×#41 | — | 53 | 2 | no | — |
| 723 | C2×#41 | — | 53 | 2 | no | — |
| 724 | C2×#41 | — | 53 | 2 | no | — |
| 725 | C2×#41 | — | 53 | 16 | no | — |
| 726 | C2×#41 | — | 53 | 2 | no | — |
| 727 | C2×#41 | — | 53 | 2 | no | — |
| 728 | C2×#41 | — | 53 | 2 | no | — |
| 729 | C2×#41 | — | 53 | 2 | no | — |
| 730 | C2×#41 | — | 53 | 2 | no | — |
| 731 | C2×#41 | — | 53 | 2 | no | — |
| 732 | C2×#41 | — | 106 | 2 | no | — |
| 733 | C2×#41 | — | 106 | 2 | no | — |
| 734 | C2×#41 | — | 106 | 8 | no | — |
| 735 | C2×#41 | — | 106 | 2 | no | — |
| 736 | C2×#41 | — | 106 | 2 | no | — |
| 737 | C2×#41 | — | 106 | 2 | no | — |
| 738 | C2×#41 | — | 106 | 2 | no | — |
| 739 | C2×#41 | — | 106 | 8 | no | — |
| 740 | C2×#41 | — | 106 | 32 | no | — |
| 741 | C2×#41 | — | 106 | 2 | no | — |
| 742 | C2×#41 | — | 106 | 2 | no | — |
| 743 | C2×#41 | — | 106 | 8 | no | — |
| 744 | C2×#41 | — | 106 | 2 | no | — |
| 745 | C2×#41 | — | 106 | 2 | no | — |
| 746 | C2×#41 | — | 106 | 2 | no | — |
| 747 | C2×#41 | — | 106 | 2 | no | — |
| 748 | C2×#41 | — | 106 | 8 | no | — |
| 749 | C2×#41 | — | 106 | 32 | no | — |
| 750 | C2×#41 | — | 106 | 8 | no | — |
| 751 | C2×#41 | — | 106 | 1 | no | — |
| 752 | C2×#41 | — | 106 | 1 | no | — |
| 753 | C2×#41 | C22×D53 | 1 | 2 | yes | — |
| 754 | C2×#41 | C22×D53 | 1 | 2 | yes | complemented |
| 755 | C22×Q8 | — | 53 | 1 | no | — |
| 756 | C22×Q8 | — | 53 | 2 | no | — |
| 757 | C22×Q8 | — | 53 | 2 | no | — |
| 758 | C22×Q8 | — | 53 | 1 | no | — |
| 759 | C22×Q8 | — | 106 | 2 | no | — |
| 760 | C22×Q8 | — | 106 | 2 | no | — |
| 761 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic, complemented |
| 762 | C22×D4 | — | 2 | 1 | no | — |
| 763 | C22×D4 | — | 2 | 1 | no | — |
| 764 | C22×D4 | — | 53 | 2 | no | — |
| 765 | C22×D4 | — | 53 | 1 | no | — |
| 766 | C22×D4 | — | 53 | 1 | no | — |
| 767 | C22×D4 | — | 53 | 4 | no | — |
| 768 | C22×D4 | — | 53 | 2 | no | — |
| 769 | C22×D4 | — | 53 | 1 | no | — |
| 770 | C22×D4 | — | 53 | 1 | no | — |
| 771 | C22×D4 | — | 53 | 1 | no | — |
| 772 | C22×D4 | — | 106 | 2 | no | — |
| 773 | C22×D4 | — | 106 | 1 | no | — |
| 774 | C22×D4 | — | 106 | 8 | no | — |
| 775 | C22×D4 | — | 106 | 2 | no | — |
| 776 | C22×D4 | — | 106 | 1 | no | — |
| 777 | C22×D4 | — | 106 | 2 | no | — |
| 778 | C22×D4 | — | 106 | 2 | no | — |
| 779 | C22×D4 | — | 106 | 2 | no | — |
| 780 | C22×D4 | — | 106 | 2 | no | — |
| 781 | C22×D4 | — | 106 | 2 | no | — |
| 782 | C22×D4 | — | 106 | 2 | no | — |
| 783 | C22×D4 | — | 106 | 2 | no | — |
| 784 | C22×D4 | — | 106 | 1 | no | — |
| 785 | C22×D4 | — | 106 | 1 | no | — |
| 786 | C22×D4 | — | 106 | 1 | no | — |
| 787 | C22×D4 | C22×D53 | 1 | 1 | yes | characteristic |
| 788 | C22×D4 | C22×D53 | 1 | 1 | yes | characteristic, complemented |
| 789 | C23×C4 | — | 2 | 1 | no | — |
| 790 | C23×C4 | — | 53 | 1 | no | — |
| 791 | C23×C4 | — | 53 | 1 | no | — |
| 792 | C23×C4 | — | 106 | 2 | no | — |
| 793 | C23×C4 | — | 106 | 2 | no | — |
| 794 | C23×C4 | — | 106 | 1 | no | — |
| 795 | C23×C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 796 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 797 | AGL(1,ℤ/8) | — | 106 | 8 | no | — |
| 798 | AGL(1,ℤ/8) | — | 106 | 16 | no | — |
| 799 | AGL(1,ℤ/8) | — | 106 | 16 | no | — |
| 800 | AGL(1,ℤ/8) | — | 106 | 8 | no | — |
| 801 | AGL(1,ℤ/8) | — | 106 | 8 | no | — |
| 802 | C2×SD16 | — | 53 | 4 | no | — |
| 803 | C2×SD16 | — | 53 | 4 | no | — |
| 804 | C2×SD16 | — | 53 | 4 | no | — |
| 805 | C2×SD16 | — | 106 | 16 | no | — |
| 806 | C2×SD16 | C22×D53 | 1 | 4 | yes | — |
| 807 | C2×D8 | — | 53 | 4 | no | — |
| 808 | C2×D8 | — | 53 | 4 | no | — |
| 809 | C2×D8 | — | 53 | 4 | no | — |
| 810 | C2×D8 | — | 106 | 16 | no | — |
| 811 | C2×D8 | C22×D53 | 1 | 4 | yes | — |
| 812 | C2×M16 | — | 53 | 2 | no | — |
| 813 | C2×M16 | — | 53 | 4 | no | — |
| 814 | C2×M16 | — | 106 | 8 | no | — |
| 815 | C2×M16 | C22×D53 | 1 | 2 | yes | — |
| 816 | C22×C8 | — | 53 | 4 | no | — |
| 817 | #127 | — | 106 | 4 | no | — |
| 818 | #127 | — | 106 | 4 | no | — |
| 819 | #124 | — | 106 | 4 | no | — |
| 820 | #124 | — | 106 | 4 | no | — |
| 821 | #121 | — | 2 | 1 | no | — |
| 822 | #121 | — | 2 | 1 | no | — |
| 823 | #121 | — | 53 | 4 | no | — |
| 824 | #121 | — | 53 | 2 | no | — |
| 825 | #121 | — | 53 | 2 | no | — |
| 826 | #121 | — | 53 | 4 | no | — |
| 827 | #121 | — | 106 | 2 | no | — |
| 828 | #121 | — | 106 | 2 | no | — |
| 829 | #121 | — | 106 | 1 | no | — |
| 830 | #121 | — | 106 | 1 | no | — |
| 831 | #121 | C22×D53 | 1 | 2 | yes | — |
| 832 | #121 | C22×D53 | 1 | 2 | yes | — |
| 833 | #120 | — | 106 | 4 | no | — |
| 834 | #120 | — | 106 | 4 | no | — |
| 835 | #120 | — | 106 | 4 | no | — |
| 836 | #120 | — | 106 | 4 | no | — |
| 837 | #117 | — | 53 | 4 | no | — |
| 838 | #117 | — | 106 | 2 | no | — |
| 839 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 840 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 841 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 842 | C2×C22⋊C4 | — | 106 | 1 | no | — |
| 843 | C2×C22⋊C4 | — | 106 | 1 | no | — |
| 844 | C2×C22⋊C4 | — | 106 | 1 | no | — |
| 845 | C2×C22⋊C4 | — | 106 | 1 | no | — |
| 846 | C2×C42 | — | 106 | 1 | no | — |
| 847 | #103 | — | 53 | 4 | no | — |
| 848 | #103 | — | 53 | 4 | no | — |
| 849 | #103 | — | 53 | 4 | no | — |
| 850 | #103 | C22×D53 | 1 | 4 | yes | complemented |
| 851 | #102 | — | 53 | 4 | no | — |
| 852 | #102 | — | 53 | 4 | no | — |
| 853 | #102 | — | 53 | 4 | no | — |
| 854 | #102 | C22×D53 | 1 | 4 | yes | complemented |
| 855 | C22⋊C8 | — | 53 | 2 | no | — |
| 856 | C22⋊C8 | — | 53 | 2 | no | — |
| 857 | C22⋊C8 | — | 53 | 4 | no | — |
| 858 | C22⋊C8 | — | 53 | 4 | no | — |
| 859 | C22⋊C8 | C22×D53 | 1 | 2 | yes | complemented |
| 860 | C22⋊C8 | C22×D53 | 1 | 2 | yes | complemented |
| 861 | C24 | — | 2 | 1 | no | — |
| 862 | C24 | — | 2 | 1 | no | — |
| 863 | C24 | — | 53 | 1 | no | — |
| 864 | C24 | — | 53 | 1 | no | — |
| 865 | C24 | — | 106 | 2 | no | — |
| 866 | C24 | — | 106 | 2 | no | — |
| 867 | C24 | — | 106 | 4 | no | — |
| 868 | C24 | — | 106 | 1 | no | — |
| 869 | C24 | — | 106 | 1 | no | — |
| 870 | C24 | — | 424 | 2 | no | — |
| 871 | C24 | — | 424 | 2 | no | — |
| 872 | C24 | — | 212 | 4 | no | — |
| 873 | C24 | D4×D53 | 1 | 1 | yes | characteristic |
| 874 | #41 | — | 2 | 8 | no | — |
| 875 | #41 | — | 2 | 8 | no | — |
| 876 | #41 | — | 2 | 4 | no | — |
| 877 | #41 | — | 2 | 4 | no | — |
| 878 | #41 | — | 2 | 4 | no | — |
| 879 | #41 | — | 53 | 8 | no | — |
| 880 | #41 | — | 53 | 8 | no | — |
| 881 | #41 | — | 53 | 8 | no | — |
| 882 | #41 | — | 106 | 8 | no | — |
| 883 | #41 | — | 106 | 16 | no | — |
| 884 | #41 | — | 106 | 8 | no | — |
| 885 | #41 | — | 106 | 4 | no | — |
| 886 | #41 | — | 106 | 4 | no | — |
| 887 | #41 | — | 106 | 4 | no | — |
| 888 | #41 | — | 106 | 4 | no | — |
| 889 | #41 | — | 106 | 4 | no | — |
| 890 | #41 | — | 106 | 4 | no | — |
| 891 | #41 | — | 106 | 8 | no | — |
| 892 | #41 | — | 106 | 16 | no | — |
| 893 | #41 | — | 106 | 16 | no | — |
| 894 | #41 | — | 106 | 16 | no | — |
| 895 | #41 | — | 106 | 16 | no | — |
| 896 | #41 | — | 106 | 16 | no | — |
| 897 | #41 | — | 106 | 8 | no | — |
| 898 | #41 | — | 106 | 16 | no | — |
| 899 | #41 | — | 106 | 4 | no | — |
| 900 | #41 | — | 106 | 4 | no | — |
| 901 | #41 | — | 106 | 4 | no | — |
| 902 | #41 | — | 106 | 16 | no | — |
| 903 | #41 | — | 106 | 16 | no | — |
| 904 | #41 | — | 106 | 16 | no | — |
| 905 | #41 | — | 106 | 16 | no | — |
| 906 | #41 | — | 106 | 4 | no | — |
| 907 | #41 | — | 106 | 16 | no | — |
| 908 | #41 | — | 106 | 4 | no | — |
| 909 | #41 | — | 106 | 4 | no | — |
| 910 | #41 | — | 106 | 4 | no | — |
| 911 | #41 | D4×D53 | 1 | 8 | yes | — |
| 912 | C2×Q8 | — | 2 | 4 | no | — |
| 913 | C2×Q8 | — | 2 | 1 | no | — |
| 914 | C2×Q8 | — | 53 | 2 | no | — |
| 915 | C2×Q8 | — | 53 | 2 | no | — |
| 916 | C2×Q8 | — | 53 | 8 | no | — |
| 917 | C2×Q8 | — | 53 | 2 | no | — |
| 918 | C2×Q8 | — | 106 | 2 | no | — |
| 919 | C2×Q8 | — | 106 | 2 | no | — |
| 920 | C2×Q8 | — | 106 | 4 | no | — |
| 921 | C2×Q8 | — | 106 | 4 | no | — |
| 922 | C2×Q8 | — | 106 | 16 | no | — |
| 923 | C2×Q8 | — | 106 | 4 | no | — |
| 924 | C2×Q8 | — | 106 | 4 | no | — |
| 925 | C2×Q8 | — | 106 | 16 | no | — |
| 926 | C2×Q8 | — | 106 | 4 | no | — |
| 927 | C2×Q8 | — | 106 | 1 | no | — |
| 928 | C2×Q8 | C23×D53 | 1 | 2 | yes | — |
| 929 | C2×D4 | — | 2 | 8 | no | — |
| 930 | C2×D4 | — | 2 | 2 | no | — |
| 931 | C2×D4 | — | 2 | 2 | no | — |
| 932 | C2×D4 | — | 2 | 4 | no | — |
| 933 | C2×D4 | — | 2 | 2 | no | — |
| 934 | C2×D4 | — | 2 | 2 | no | — |
| 935 | C2×D4 | — | 2 | 1 | no | — |
| 936 | C2×D4 | — | 2 | 4 | no | — |
| 937 | C2×D4 | — | 2 | 1 | no | — |
| 938 | C2×D4 | — | 8 | 2 | no | — |
| 939 | C2×D4 | — | 53 | 8 | no | — |
| 940 | C2×D4 | — | 53 | 2 | no | — |
| 941 | C2×D4 | — | 53 | 2 | no | — |
| 942 | C2×D4 | — | 53 | 2 | no | — |
| 943 | C2×D4 | — | 53 | 2 | no | — |
| 944 | C2×D4 | — | 53 | 2 | no | — |
| 945 | C2×D4 | — | 53 | 2 | no | — |
| 946 | C2×D4 | — | 53 | 2 | no | — |
| 947 | C2×D4 | — | 53 | 2 | no | — |
| 948 | C2×D4 | — | 106 | 4 | no | — |
| 949 | C2×D4 | — | 106 | 4 | no | — |
| 950 | C2×D4 | — | 106 | 2 | no | — |
| 951 | C2×D4 | — | 106 | 2 | no | — |
| 952 | C2×D4 | — | 106 | 16 | no | — |
| 953 | C2×D4 | — | 106 | 4 | no | — |
| 954 | C2×D4 | — | 106 | 4 | no | — |
| 955 | C2×D4 | — | 106 | 8 | no | — |
| 956 | C2×D4 | — | 106 | 8 | no | — |
| 957 | C2×D4 | — | 106 | 2 | no | — |
| 958 | C2×D4 | — | 106 | 2 | no | — |
| 959 | C2×D4 | — | 106 | 4 | no | — |
| 960 | C2×D4 | — | 106 | 4 | no | — |
| 961 | C2×D4 | — | 106 | 4 | no | — |
| 962 | C2×D4 | — | 106 | 16 | no | — |
| 963 | C2×D4 | — | 106 | 16 | no | — |
| 964 | C2×D4 | — | 106 | 16 | no | — |
| 965 | C2×D4 | — | 106 | 16 | no | — |
| 966 | C2×D4 | — | 106 | 16 | no | — |
| 967 | C2×D4 | — | 106 | 4 | no | — |
| 968 | C2×D4 | — | 106 | 2 | no | — |
| 969 | C2×D4 | — | 106 | 2 | no | — |
| 970 | C2×D4 | — | 106 | 16 | no | — |
| 971 | C2×D4 | — | 106 | 16 | no | — |
| 972 | C2×D4 | — | 106 | 8 | no | — |
| 973 | C2×D4 | — | 106 | 2 | no | — |
| 974 | C2×D4 | — | 106 | 2 | no | — |
| 975 | C2×D4 | — | 106 | 4 | no | — |
| 976 | C2×D4 | — | 106 | 4 | no | — |
| 977 | C2×D4 | — | 106 | 2 | no | — |
| 978 | C2×D4 | — | 106 | 2 | no | — |
| 979 | C2×D4 | — | 106 | 1 | no | — |
| 980 | C2×D4 | — | 106 | 4 | no | — |
| 981 | C2×D4 | — | 106 | 1 | no | — |
| 982 | C2×D4 | — | 424 | 2 | no | — |
| 983 | C2×D4 | — | 424 | 2 | no | — |
| 984 | C2×D4 | — | 424 | 2 | no | — |
| 985 | C2×D4 | — | 212 | 8 | no | — |
| 986 | C2×D4 | — | 212 | 4 | no | — |
| 987 | C2×D4 | C23×D53 | 1 | 2 | yes | — |
| 988 | C2×D4 | C23×D53 | 1 | 2 | yes | — |
| 989 | C22×C4 | — | 2 | 8 | no | — |
| 990 | C22×C4 | — | 2 | 1 | no | — |
| 991 | C22×C4 | — | 2 | 2 | no | — |
| 992 | C22×C4 | — | 2 | 2 | no | — |
| 993 | C22×C4 | — | 2 | 4 | no | — |
| 994 | C22×C4 | — | 2 | 1 | no | — |
| 995 | C22×C4 | — | 53 | 1 | no | — |
| 996 | C22×C4 | — | 53 | 2 | no | — |
| 997 | C22×C4 | — | 53 | 8 | no | — |
| 998 | C22×C4 | — | 53 | 2 | no | — |
| 999 | C22×C4 | — | 53 | 1 | no | — |
| 1000 | C22×C4 | — | 53 | 2 | no | — |
| 1001 | C22×C4 | — | 53 | 2 | no | — |
| 1002 | C22×C4 | — | 106 | 2 | no | — |
| 1003 | C22×C4 | — | 106 | 2 | no | — |
| 1004 | C22×C4 | — | 106 | 16 | no | — |
| 1005 | C22×C4 | — | 106 | 2 | no | — |
| 1006 | C22×C4 | — | 106 | 2 | no | — |
| 1007 | C22×C4 | — | 106 | 16 | no | — |
| 1008 | C22×C4 | — | 106 | 8 | no | — |
| 1009 | C22×C4 | — | 106 | 2 | no | — |
| 1010 | C22×C4 | — | 106 | 2 | no | — |
| 1011 | C22×C4 | — | 106 | 1 | no | — |
| 1012 | C22×C4 | — | 106 | 4 | no | — |
| 1013 | C22×C4 | — | 106 | 2 | no | — |
| 1014 | C22×C4 | — | 106 | 2 | no | — |
| 1015 | C22×C4 | — | 106 | 1 | no | — |
| 1016 | C22×C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 1017 | C22×C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 1018 | C22×C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 1019 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 1020 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 1021 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 1022 | SD16 | — | 2 | 8 | no | — |
| 1023 | SD16 | — | 106 | 8 | no | — |
| 1024 | SD16 | — | 106 | 8 | no | — |
| 1025 | SD16 | — | 106 | 8 | no | — |
| 1026 | D8 | — | 2 | 8 | no | — |
| 1027 | D8 | — | 106 | 8 | no | — |
| 1028 | D8 | — | 106 | 8 | no | — |
| 1029 | D8 | — | 106 | 8 | no | — |
| 1030 | M16 | — | 2 | 4 | no | — |
| 1031 | M16 | — | 106 | 8 | no | — |
| 1032 | M16 | — | 106 | 4 | no | — |
| 1033 | C2×C8 | — | 53 | 4 | no | — |
| 1034 | C2×C8 | — | 106 | 8 | no | — |
| 1035 | C2×C8 | C23×D53 | 1 | 4 | yes | — |
| 1036 | C4⋊C4 | — | 2 | 1 | no | — |
| 1037 | C4⋊C4 | — | 53 | 2 | no | — |
| 1038 | C4⋊C4 | — | 106 | 1 | no | — |
| 1039 | C4⋊C4 | C23×D53 | 1 | 2 | yes | — |
| 1040 | C22⋊C4 | — | 2 | 2 | no | — |
| 1041 | C22⋊C4 | — | 2 | 2 | no | — |
| 1042 | C22⋊C4 | — | 106 | 4 | no | — |
| 1043 | C22⋊C4 | — | 106 | 4 | no | — |
| 1044 | C22⋊C4 | — | 106 | 4 | no | — |
| 1045 | C22⋊C4 | — | 106 | 2 | no | — |
| 1046 | C22⋊C4 | — | 106 | 2 | no | — |
| 1047 | C42 | — | 106 | 4 | no | — |
| 1048 | C23 | — | 2 | 4 | no | — |
| 1049 | C23 | — | 2 | 2 | no | — |
| 1050 | C23 | — | 2 | 2 | no | — |
| 1051 | C23 | — | 2 | 2 | no | — |
| 1052 | C23 | — | 4 | 1 | no | — |
| 1053 | C23 | — | 4 | 1 | no | — |
| 1054 | C23 | — | 4 | 2 | no | — |
| 1055 | C23 | — | 4 | 2 | no | — |
| 1056 | C23 | — | 4 | 2 | no | — |
| 1057 | C23 | — | 8 | 1 | no | — |
| 1058 | C23 | — | 8 | 1 | no | — |
| 1059 | C23 | — | 53 | 2 | no | — |
| 1060 | C23 | — | 53 | 4 | no | — |
| 1061 | C23 | — | 53 | 2 | no | — |
| 1062 | C23 | — | 106 | 8 | no | — |
| 1063 | C23 | — | 106 | 4 | no | — |
| 1064 | C23 | — | 106 | 8 | no | — |
| 1065 | C23 | — | 106 | 2 | no | — |
| 1066 | C23 | — | 106 | 2 | no | — |
| 1067 | C23 | — | 106 | 2 | no | — |
| 1068 | C23 | — | 424 | 1 | no | — |
| 1069 | C23 | — | 424 | 1 | no | — |
| 1070 | C23 | — | 424 | 2 | no | — |
| 1071 | C23 | — | 424 | 2 | no | — |
| 1072 | C23 | — | 424 | 2 | no | — |
| 1073 | C23 | — | 424 | 2 | no | — |
| 1074 | C23 | — | 424 | 4 | no | — |
| 1075 | C23 | — | 424 | 4 | no | — |
| 1076 | C23 | — | 424 | 16 | no | — |
| 1077 | C23 | — | 212 | 1 | no | — |
| 1078 | C23 | — | 212 | 1 | no | — |
| 1079 | C23 | — | 212 | 1 | no | — |
| 1080 | C23 | — | 212 | 1 | no | — |
| 1081 | C23 | — | 212 | 2 | no | — |
| 1082 | C23 | — | 212 | 2 | no | — |
| 1083 | C23 | — | 212 | 8 | no | — |
| 1084 | C23 | — | 212 | 2 | no | — |
| 1085 | C23 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1086 | C23 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1087 | C23 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1088 | Q8 | — | 2 | 4 | no | — |
| 1089 | Q8 | — | 2 | 2 | no | — |
| 1090 | Q8 | — | 53 | 4 | no | — |
| 1091 | Q8 | — | 106 | 4 | no | — |
| 1092 | Q8 | — | 106 | 8 | no | — |
| 1093 | Q8 | — | 106 | 4 | no | — |
| 1094 | Q8 | — | 106 | 4 | no | — |
| 1095 | Q8 | — | 106 | 8 | no | — |
| 1096 | Q8 | — | 106 | 2 | no | — |
| 1097 | Q8 | C2×D4×D53 | 1 | 4 | yes | — |
| 1098 | D4 | — | 2 | 8 | no | — |
| 1099 | D4 | — | 2 | 4 | no | — |
| 1100 | D4 | — | 2 | 8 | no | — |
| 1101 | D4 | — | 2 | 2 | no | — |
| 1102 | D4 | — | 2 | 4 | no | — |
| 1103 | D4 | — | 4 | 2 | no | — |
| 1104 | D4 | — | 8 | 2 | no | — |
| 1105 | D4 | — | 8 | 2 | no | — |
| 1106 | D4 | — | 53 | 4 | no | — |
| 1107 | D4 | — | 106 | 4 | no | — |
| 1108 | D4 | — | 106 | 4 | no | — |
| 1109 | D4 | — | 106 | 8 | no | — |
| 1110 | D4 | — | 106 | 4 | no | — |
| 1111 | D4 | — | 106 | 8 | no | — |
| 1112 | D4 | — | 106 | 4 | no | — |
| 1113 | D4 | — | 106 | 4 | no | — |
| 1114 | D4 | — | 106 | 8 | no | — |
| 1115 | D4 | — | 106 | 4 | no | — |
| 1116 | D4 | — | 106 | 4 | no | — |
| 1117 | D4 | — | 106 | 8 | no | — |
| 1118 | D4 | — | 106 | 8 | no | — |
| 1119 | D4 | — | 106 | 8 | no | — |
| 1120 | D4 | — | 106 | 8 | no | — |
| 1121 | D4 | — | 106 | 8 | no | — |
| 1122 | D4 | — | 106 | 2 | no | — |
| 1123 | D4 | — | 106 | 4 | no | — |
| 1124 | D4 | — | 424 | 4 | no | — |
| 1125 | D4 | — | 424 | 2 | no | — |
| 1126 | D4 | — | 424 | 2 | no | — |
| 1127 | D4 | — | 424 | 4 | no | — |
| 1128 | D4 | — | 212 | 8 | no | — |
| 1129 | D4 | — | 212 | 2 | no | — |
| 1130 | D4 | C2×D4×D53 | 1 | 4 | yes | — |
| 1131 | C2×C4 | — | 2 | 4 | no | — |
| 1132 | C2×C4 | — | 2 | 8 | no | — |
| 1133 | C2×C4 | — | 2 | 2 | no | — |
| 1134 | C2×C4 | — | 2 | 2 | no | — |
| 1135 | C2×C4 | — | 2 | 2 | no | — |
| 1136 | C2×C4 | — | 2 | 8 | no | — |
| 1137 | C2×C4 | — | 2 | 2 | no | — |
| 1138 | C2×C4 | — | 2 | 2 | no | — |
| 1139 | C2×C4 | — | 2 | 2 | no | — |
| 1140 | C2×C4 | — | 2 | 2 | no | — |
| 1141 | C2×C4 | — | 4 | 2 | no | — |
| 1142 | C2×C4 | — | 53 | 4 | no | — |
| 1143 | C2×C4 | — | 53 | 2 | no | — |
| 1144 | C2×C4 | — | 53 | 8 | no | — |
| 1145 | C2×C4 | — | 53 | 4 | no | — |
| 1146 | C2×C4 | — | 53 | 4 | no | — |
| 1147 | C2×C4 | — | 53 | 2 | no | — |
| 1148 | C2×C4 | — | 106 | 8 | no | — |
| 1149 | C2×C4 | — | 106 | 8 | no | — |
| 1150 | C2×C4 | — | 106 | 8 | no | — |
| 1151 | C2×C4 | — | 106 | 8 | no | — |
| 1152 | C2×C4 | — | 106 | 8 | no | — |
| 1153 | C2×C4 | — | 106 | 8 | no | — |
| 1154 | C2×C4 | — | 106 | 8 | no | — |
| 1155 | C2×C4 | — | 106 | 4 | no | — |
| 1156 | C2×C4 | — | 106 | 2 | no | — |
| 1157 | C2×C4 | — | 106 | 2 | no | — |
| 1158 | C2×C4 | — | 106 | 4 | no | — |
| 1159 | C2×C4 | — | 106 | 8 | no | — |
| 1160 | C2×C4 | — | 106 | 2 | no | — |
| 1161 | C2×C4 | — | 106 | 2 | no | — |
| 1162 | C2×C4 | — | 106 | 2 | no | — |
| 1163 | C2×C4 | — | 212 | 2 | no | — |
| 1164 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1165 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1166 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1167 | C2×C4 | C2×D4×D53 | 1 | 4 | yes | — |
| 1168 | C2×C4 | C24×D53 | 1 | 1 | yes | characteristic |
| 1169 | C8 | — | 2 | 4 | no | — |
| 1170 | C8 | — | 106 | 4 | no | — |
| 1171 | C22 | — | 2 | 1 | no | — |
| 1172 | C22 | — | 2 | 1 | no | — |
| 1173 | C22 | — | 2 | 1 | no | — |
| 1174 | C22 | — | 2 | 1 | no | — |
| 1175 | C22 | — | 2 | 4 | no | — |
| 1176 | C22 | — | 2 | 1 | no | — |
| 1177 | C22 | — | 2 | 1 | no | — |
| 1178 | C22 | — | 2 | 1 | no | — |
| 1179 | C22 | — | 2 | 1 | no | — |
| 1180 | C22 | — | 4 | 2 | no | — |
| 1181 | C22 | — | 4 | 2 | no | — |
| 1182 | C22 | — | 4 | 2 | no | — |
| 1183 | C22 | — | 4 | 2 | no | — |
| 1184 | C22 | — | 4 | 2 | no | — |
| 1185 | C22 | — | 8 | 2 | no | — |
| 1186 | C22 | — | 8 | 4 | no | — |
| 1187 | C22 | — | 8 | 4 | no | — |
| 1188 | C22 | — | 53 | 4 | no | — |
| 1189 | C22 | — | 106 | 2 | no | — |
| 1190 | C22 | — | 106 | 2 | no | — |
| 1191 | C22 | — | 106 | 4 | no | — |
| 1192 | C22 | — | 106 | 2 | no | — |
| 1193 | C22 | — | 106 | 2 | no | — |
| 1194 | C22 | — | 106 | 2 | no | — |
| 1195 | C22 | — | 424 | 4 | no | — |
| 1196 | C22 | — | 424 | 2 | no | — |
| 1197 | C22 | — | 424 | 8 | no | — |
| 1198 | C22 | — | 424 | 4 | no | — |
| 1199 | C22 | — | 424 | 8 | no | — |
| 1200 | C22 | — | 424 | 16 | no | — |
| 1201 | C22 | — | 212 | 4 | no | — |
| 1202 | C22 | — | 212 | 2 | no | — |
| 1203 | C22 | — | 212 | 2 | no | — |
| 1204 | C22 | — | 212 | 2 | no | — |
| 1205 | C22 | — | 212 | 2 | no | — |
| 1206 | C22 | — | 212 | 2 | no | — |
| 1207 | C22 | #120×D53 | 1 | 2 | yes | — |
| 1208 | C22 | C22×D4×D53 | 1 | 1 | yes | characteristic |
| 1209 | C4 | — | 2 | 1 | no | — |
| 1210 | C4 | — | 2 | 4 | no | — |
| 1211 | C4 | — | 2 | 1 | no | — |
| 1212 | C4 | — | 4 | 2 | no | — |
| 1213 | C4 | — | 53 | 4 | no | — |
| 1214 | C4 | — | 106 | 2 | no | — |
| 1215 | C4 | — | 106 | 4 | no | — |
| 1216 | C4 | — | 212 | 2 | no | — |
| 1217 | C4 | #120×D53 | 1 | 2 | yes | — |
| 1218 | C4 | C22×D4×D53 | 1 | 2 | yes | — |
| 1219 | C2 | — | 2 | 2 | no | — |
| 1220 | C2 | — | 4 | 1 | no | — |
| 1221 | C2 | — | 4 | 1 | no | — |
| 1222 | C2 | — | 4 | 4 | no | — |
| 1223 | C2 | — | 8 | 2 | no | — |
| 1224 | C2 | — | 106 | 4 | no | — |
| 1225 | C2 | — | 424 | 2 | no | — |
| 1226 | C2 | — | 212 | 2 | no | — |
| 1227 | C2 | — | 212 | 4 | no | — |
| 1228 | C2 | C2×#120×D53 | 1 | 1 | yes | characteristic |
| 1229 | C2 | #20289491 | 1 | 1 | yes | characteristic |
| 1230 | C2 | #20289492 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#16811459 | C2 | semidirect |
| 2. C2×AGL(1,ℤ/8)×D53 | C2 | semidirect |
| 3. C2×#16811189 | C2 | semidirect |
| 4. #20283998 | C2 | semidirect |
| 5. #20283996 | C2 | semidirect |
| 6. #20283980 | C2 | semidirect |
| 7. #20283978 | C2 | semidirect |
| 8. #20283969 | C2 | semidirect |
| 9. #20283968 | C2 | semidirect |
| 10. #20283967 | C2 | semidirect |
| 11. #20283965 | C2 | semidirect |
| 12. #20283963 | C2 | semidirect |
| 13. #20283231 | C2 | semidirect |
| 14. #20283158 | C2 | semidirect |
| 15. C53×#3006 | C2 | semidirect |
| 17. C2×#13133265 | C22 | semidirect |
| 19. C2×#13133264 | C22 | semidirect |
| 21. C2×#13133263 | C22 | semidirect |
| 24. C2×#13133262 | C22 | semidirect |
| 27. C22×#11719945 | C22 | semidirect |
| 30. C2×#41×D53 | C22 | semidirect |
| 31. C22×D4×D53 | C22 | semidirect |
| 32. C2×#13133245 | C22 | semidirect |
| 33. C2×#13133244 | C22 | semidirect |
| 34. C2×#13133243 | C22 | semidirect |
| 35. C2×#13133242 | C22 | semidirect |
| 36. C2×#13133241 | C22 | semidirect |
| 38. C2×SD16×D53 | C22 | semidirect |
| 39. C2×D8×D53 | C22 | semidirect |
| 40. C2×M16×D53 | C22 | semidirect |
| 43. #16811189 | C22 | semidirect |
| 44. #16811189 | C22 | semidirect |
| 47. C2×#13133192 | C22 | semidirect |
| 48. C2×#13133191 | C22 | semidirect |
| 49. C2×#13133188 | C22 | semidirect |
| 52. C2×#13133175 | C22 | semidirect |
| 53. #16810771 | C22 | semidirect |
| 54. #16810770 | C22 | semidirect |
| 55. #16810769 | C22 | semidirect |
| 56. #16810768 | C22 | semidirect |
| 57. #16810767 | C22 | semidirect |
| 58. #16810766 | C22 | semidirect |
| 59. #16810765 | C22 | semidirect |
| 60. #16810764 | C22 | semidirect |
| 61. #16810763 | C22 | semidirect |
| 62. #16810762 | C22 | semidirect |
| 63. #16810761 | C22 | semidirect |
| 64. #16810760 | C22 | semidirect |
| 65. #16810759 | C22 | semidirect |
| 66. #16810758 | C22 | semidirect |
| 67. #16810757 | C22 | semidirect |
| 68. #16810756 | C22 | semidirect |
| 69. #16810755 | C22 | semidirect |
| 70. #16810630 | C22 | semidirect |
| 71. #16810626 | C22 | semidirect |
| 72. #16810625 | C22 | semidirect |
| 73. #16810624 | C22 | semidirect |
| 74. #16810622 | C22 | semidirect |
| 75. #16810618 | C22 | semidirect |
| 76. #16810616 | C22 | semidirect |
| 77. #16810588 | C22 | semidirect |
| 78. #16810588 | C22 | semidirect |
| 79. #16810587 | C22 | semidirect |
| 80. #16810586 | C22 | semidirect |
| 81. C22×#41×C53 | C22 | semidirect |
| 82. C2×AGL(1,ℤ/8)×C53 | C22 | semidirect |
| 83. C2×#121×C53 | C22 | semidirect |
| 84. C53×#449 | C22 | semidirect |
| 85. C53×#448 | C22 | semidirect |
| 86. C53×#447 | C22 | semidirect |
| 87. C53×#417 | C22 | semidirect |
| 88. C53×#407 | C22 | semidirect |
| 104. C2×#11719949 | C23 | semidirect |
| 121. C2×#11719945 | C23 | semidirect |
| 128. C2×#11719947 | C23 | semidirect |
| 133. #41×D53 | D4 | semidirect |
| 136. C22×Dic106 | C23 | semidirect |
| 139. C2×Q8×D53 | C23 | semidirect |
| 144. C22×D212 | C23 | semidirect |
| 162. C2×D4×D53 | C23 | semidirect |
| 209. #13133142 | C23 | semidirect |
| 210. #13133141 | C23 | semidirect |
| 211. #13133140 | C23 | semidirect |
| 212. #13133139 | C23 | semidirect |
| 213. #13133138 | C23 | semidirect |
| 214. #13133137 | C23 | semidirect |
| 215. C22⋊#88322 | C23 | semidirect |
| 216. C22⋊#88322 | C23 | semidirect |
| 217. #13133129 | C23 | semidirect |
| 218. #13133129 | C23 | semidirect |
| 223. C2×#41×C53 | C23 | semidirect |
| 224. C22×Q8×C53 | C23 | semidirect |
| 228. C22×D4×C53 | C23 | semidirect |
| 241. #103×C53 | C23 | semidirect |
| 242. #102×C53 | C23 | semidirect |
| 243. C22⋊C8×C53 | C23 | semidirect |
| 244. C22⋊C8×C53 | C23 | semidirect |
| 323. #11719949 | C2×D4 | semidirect |
| 328. Q8×D53 | C2×D4 | semidirect |
| 337. #11719947 | C2×D4 | semidirect |
| 349. D4×D53 | C2×D4 | semidirect |
| 616. #3006 | D53 | semidirect |
| 646. C22×#41 | C2×D53 | semidirect |
| 654. C2×AGL(1,ℤ/8) | C2×D53 | semidirect |
| 667. C2×#121 | C2×D53 | semidirect |
| 678. #449 | C2×D53 | semidirect |
| 684. #448 | C2×D53 | semidirect |
| 690. #447 | C2×D53 | semidirect |
| 696. #417 | C2×D53 | semidirect |
| 703. #407 | C2×D53 | semidirect |
| 704. C53 | #60369 | semidirect |
| 754. C2×#41 | C22×D53 | semidirect |
| 761. C22×Q8 | C22×D53 | semidirect |
| 788. C22×D4 | C22×D53 | semidirect |
| 850. #103 | C22×D53 | semidirect |
| 854. #102 | C22×D53 | semidirect |
| 859. C22⋊C8 | C22×D53 | semidirect |
| 860. C22⋊C8 | C22×D53 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16811459 | 2 |
| C2×AGL(1,ℤ/8)×D53 | 2 |
| C2×#16811189 | 2 |
| #20283998 | 2 |
| #20283996 | 2 |
| #20283980 | 2 |
| #20283978 | 2 |
| #20283969 | 2 |
| #20283968 | 2 |
| #20283967 | 2 |
| #20283965 | 2 |
| #20283963 | 2 |
| #20283231 | 2 |
| #20283158 | 2 |
| C53×#3006 | 2 |
| #60369 | 53 |