Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
2012 conjugacy classes of subgroups.
The subgroup lattice has 1220 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×AGL(1,ℤ/8)×D67 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22573871 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#16863564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22569434 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22563843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22561252 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22561249 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22561226 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22561224 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22560669 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22560587 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22560583 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22560508 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22560151 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×#453×C67 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#41×D67 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×D4×D67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×#14524071 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×#14524070 | — | 2 | 1 | no | — |
| 20 | C2×#14524069 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#14524068 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#14524068 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#14524067 | — | 2 | 1 | no | — |
| 24 | AGL(1,ℤ/8)×D67 | — | 2 | 4 | no | — |
| 25 | AGL(1,ℤ/8)×D67 | — | 2 | 4 | no | — |
| 26 | C2×SD16×D67 | — | 2 | 1 | no | — |
| 27 | C2×D8×D67 | — | 2 | 1 | no | — |
| 28 | C2×M16×D67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #16864065 | — | 2 | 1 | no | — |
| 30 | #16864053 | — | 2 | 1 | no | — |
| 31 | #16864040 | — | 2 | 1 | no | — |
| 32 | #16864040 | — | 2 | 2 | no | — |
| 33 | D4×C22⋊D67 | — | 2 | 2 | no | — |
| 34 | D4×C22⋊D67 | — | 2 | 1 | no | — |
| 35 | #16863974 | — | 2 | 1 | no | — |
| 36 | #16863974 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #16863963 | — | 2 | 1 | no | — |
| 38 | #16863963 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#14524039 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #16863903 | — | 2 | 1 | no | — |
| 41 | #16863903 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#14524014 | — | 2 | 1 | no | — |
| 43 | C2×#14524014 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#14524011 | — | 2 | 2 | no | — |
| 45 | #16863879 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #16863564 | — | 2 | 4 | no | — |
| 47 | #16863545 | — | 2 | 1 | no | — |
| 48 | #16863545 | — | 2 | 1 | no | — |
| 49 | #16863528 | — | 2 | 1 | no | — |
| 50 | #16863528 | — | 2 | 1 | no | — |
| 51 | C2×#14523971 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#14523970 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#14523970 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×#14523969 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #16863402 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #16863401 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C2×#14523960 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #16863359 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #16863304 | — | 2 | 2 | no | — |
| 60 | #16863299 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #16863298 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C4×(C2×D67)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #16863164 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #16863164 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #16863157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #16863156 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | C2×H(5,𝔽2)×C67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×AGL(1,ℤ/8)×C67 | C22 | 1 | 1 | yes | characteristic |
| 69 | C2×AGL(1,ℤ/8)×C67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | C2×#127×C67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #453×C67 | — | 2 | 4 | no | — |
| 72 | C2×#104×C67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | C2×#104×C67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | C2×#100×C67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 75 | C24×D67 | — | 2 | 1 | no | — |
| 76 | C2×#11761629 | D4 | 1 | 1 | yes | characteristic, complemented |
| 77 | C2×#11761628 | — | 2 | 1 | no | — |
| 78 | C2×#11761628 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×#11761627 | — | 2 | 1 | no | — |
| 80 | C2×#11761627 | D4 | 1 | 1 | yes | characteristic, complemented |
| 81 | #41×D67 | — | 2 | 2 | no | — |
| 82 | #41×D67 | — | 2 | 2 | no | — |
| 83 | #41×D67 | — | 4 | 1 | no | — |
| 84 | #41×D67 | — | 4 | 1 | no | — |
| 85 | C2×Q8×D67 | D4 | 1 | 1 | yes | characteristic, complemented |
| 86 | C22×D268 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22×C22⋊D67 | — | 2 | 2 | no | — |
| 88 | C22×C22⋊D67 | — | 2 | 1 | no | — |
| 89 | C22×C22⋊D67 | — | 2 | 2 | no | — |
| 90 | C22×C22⋊D67 | D4 | 1 | 2 | yes | — |
| 91 | C2×D4×D67 | — | 2 | 2 | no | — |
| 92 | C2×D4×D67 | — | 2 | 1 | no | — |
| 93 | C2×D4×D67 | — | 2 | 1 | no | — |
| 94 | C2×D4×D67 | — | 2 | 1 | no | — |
| 95 | C2×D4×D67 | — | 2 | 1 | no | — |
| 96 | C2×D4×D67 | — | 2 | 1 | no | — |
| 97 | C2×D4×D67 | — | 2 | 2 | no | — |
| 98 | C2×D4×D67 | — | 4 | 1 | no | — |
| 99 | C2×D4×D67 | — | 4 | 1 | no | — |
| 100 | C2×D4×D67 | D4 | 1 | 1 | yes | characteristic, complemented |
| 101 | C22×C4×D67 | — | 2 | 1 | no | — |
| 102 | C22×C4×D67 | C23 | 1 | 1 | yes | characteristic |
| 103 | #14524071 | — | 2 | 2 | no | — |
| 104 | #14524071 | — | 2 | 2 | no | — |
| 105 | #14524070 | — | 2 | 8 | no | — |
| 106 | #14524069 | — | 2 | 2 | no | — |
| 107 | #14524069 | — | 2 | 2 | no | — |
| 108 | #14524068 | — | 2 | 2 | no | — |
| 109 | #14524068 | — | 2 | 2 | no | — |
| 110 | #14524068 | — | 4 | 1 | no | — |
| 111 | #14524068 | D4 | 1 | 4 | yes | complemented |
| 112 | #14524067 | — | 2 | 8 | no | — |
| 113 | C2×#11761617 | — | 2 | 1 | no | — |
| 114 | C2×#11761616 | — | 2 | 1 | no | — |
| 115 | C2×#11761615 | — | 2 | 1 | no | — |
| 116 | C2×#11761615 | — | 2 | 1 | no | — |
| 117 | SD16×D67 | — | 2 | 8 | no | — |
| 118 | C2×D536 | — | 2 | 1 | no | — |
| 119 | C2×#11761613 | — | 2 | 1 | no | — |
| 120 | C2×#11761613 | — | 2 | 1 | no | — |
| 121 | C2×#11761613 | — | 2 | 1 | no | — |
| 122 | D8×D67 | — | 2 | 8 | no | — |
| 123 | C2×#11761612 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×#11761612 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#11761611 | — | 2 | 1 | no | — |
| 126 | M16×D67 | — | 2 | 2 | no | — |
| 127 | M16×D67 | — | 2 | 2 | no | — |
| 128 | C2×C8×D67 | — | 2 | 1 | no | — |
| 129 | #14524039 | — | 2 | 2 | no | — |
| 130 | #14524039 | — | 2 | 1 | no | — |
| 131 | #14524039 | — | 2 | 2 | no | — |
| 132 | #14524039 | — | 4 | 1 | no | — |
| 133 | #14524030 | — | 2 | 2 | no | — |
| 134 | #14524030 | — | 2 | 1 | no | — |
| 135 | #14524024 | — | 2 | 2 | no | — |
| 136 | #14524024 | — | 2 | 1 | no | — |
| 137 | #14524022 | — | 2 | 2 | no | — |
| 138 | #14524022 | — | 2 | 1 | no | — |
| 139 | #14524019 | — | 2 | 1 | no | — |
| 140 | #14524019 | D4 | 1 | 1 | yes | characteristic, complemented |
| 141 | #14524019 | D4 | 1 | 1 | yes | characteristic, complemented |
| 142 | #14524017 | — | 2 | 2 | no | — |
| 143 | #14524017 | — | 2 | 1 | no | — |
| 144 | #14524015 | — | 2 | 2 | no | — |
| 145 | #14524015 | — | 2 | 2 | no | — |
| 146 | #14524015 | — | 2 | 2 | no | — |
| 147 | #14524014 | — | 2 | 2 | no | — |
| 148 | #14524014 | — | 2 | 2 | no | — |
| 149 | #14524014 | — | 2 | 1 | no | — |
| 150 | #14524014 | — | 2 | 1 | no | — |
| 151 | #14524014 | — | 2 | 1 | no | — |
| 152 | #14524014 | — | 2 | 1 | no | — |
| 153 | #14524014 | — | 2 | 1 | no | — |
| 154 | #14524014 | — | 2 | 1 | no | — |
| 155 | #14524014 | — | 2 | 1 | no | — |
| 156 | #14524014 | D4 | 1 | 1 | yes | characteristic, complemented |
| 157 | #14524014 | D4 | 1 | 1 | yes | characteristic, complemented |
| 158 | #14524012 | — | 2 | 2 | no | — |
| 159 | #14524012 | — | 2 | 2 | no | — |
| 160 | #14524012 | — | 2 | 2 | no | — |
| 161 | #14524011 | — | 2 | 2 | no | — |
| 162 | #14524011 | — | 2 | 1 | no | — |
| 163 | #14524011 | — | 4 | 8 | no | — |
| 164 | Q8×Dic67 | — | 2 | 1 | no | — |
| 165 | D4×Dic67 | — | 2 | 2 | no | — |
| 166 | D4×Dic67 | — | 2 | 1 | no | — |
| 167 | C4×C22⋊D67 | — | 2 | 2 | no | — |
| 168 | C4×C22⋊D67 | — | 2 | 2 | no | — |
| 169 | C4×C22⋊D67 | — | 2 | 1 | no | — |
| 170 | C4×C22⋊D67 | — | 2 | 1 | no | — |
| 171 | #14524002 | — | 2 | 1 | no | — |
| 172 | #14524002 | C23 | 1 | 1 | yes | characteristic |
| 173 | C2×C4⋊Dic67 | — | 2 | 1 | no | — |
| 174 | C2×C4⋊Dic67 | C23 | 1 | 1 | yes | characteristic |
| 175 | C2×C22⋊Dic67 | — | 2 | 2 | no | — |
| 176 | C2×C22⋊Dic67 | — | 2 | 2 | no | — |
| 177 | C2×C22⋊Dic67 | D4 | 1 | 2 | yes | — |
| 178 | C2×(C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 179 | C2×(C2×D67)⋊C4 | — | 2 | 2 | no | — |
| 180 | C2×C4×Dic67 | C23 | 1 | 1 | yes | characteristic |
| 181 | #14523971 | — | 4 | 1 | no | — |
| 182 | #14523970 | — | 2 | 2 | no | — |
| 183 | #14523970 | — | 2 | 2 | no | — |
| 184 | #14523969 | — | 4 | 1 | no | — |
| 185 | #14523965 | — | 2 | 1 | no | — |
| 186 | #14523965 | — | 2 | 1 | no | — |
| 187 | #14523964 | — | 2 | 1 | no | — |
| 188 | #14523964 | — | 2 | 1 | no | — |
| 189 | #14523960 | — | 2 | 2 | no | — |
| 190 | (C2×D67)⋊C8 | — | 2 | 1 | no | — |
| 191 | (C2×D67)⋊C8 | — | 2 | 1 | no | — |
| 192 | C67⋊#95 | — | 2 | 1 | no | — |
| 193 | H(5,𝔽2)×C67 | — | 2 | 2 | no | — |
| 194 | H(5,𝔽2)×C67 | — | 2 | 2 | no | — |
| 195 | H(5,𝔽2)×C67 | — | 4 | 1 | no | — |
| 196 | H(5,𝔽2)×C67 | — | 4 | 1 | no | — |
| 197 | C2×#41×C67 | — | 2 | 1 | no | — |
| 198 | C2×#41×C67 | — | 2 | 1 | no | — |
| 199 | C2×#41×C67 | C23 | 1 | 1 | yes | characteristic |
| 200 | C2×#41×C67 | C23 | 1 | 1 | yes | characteristic |
| 201 | C22×D4×C67 | — | 2 | 2 | no | — |
| 202 | C22×D4×C67 | — | 2 | 1 | no | — |
| 203 | C22×D4×C67 | — | 2 | 1 | no | — |
| 204 | C22×D4×C67 | — | 2 | 2 | no | — |
| 205 | C22×D4×C67 | C23 | 1 | 1 | yes | characteristic |
| 206 | C22×D4×C67 | C23 | 1 | 1 | yes | characteristic |
| 207 | AGL(1,ℤ/8)×C67 | — | 2 | 2 | no | — |
| 208 | AGL(1,ℤ/8)×C67 | — | 2 | 2 | no | — |
| 209 | AGL(1,ℤ/8)×C67 | — | 4 | 1 | no | — |
| 210 | AGL(1,ℤ/8)×C67 | D4 | 1 | 4 | yes | complemented |
| 211 | C2×SD16×C67 | — | 2 | 1 | no | — |
| 212 | C2×SD16×C67 | — | 2 | 1 | no | — |
| 213 | C2×D8×C67 | — | 2 | 1 | no | — |
| 214 | C2×D8×C67 | — | 2 | 1 | no | — |
| 215 | C2×M16×C67 | C23 | 1 | 1 | yes | characteristic |
| 216 | C2×M16×C67 | C23 | 1 | 1 | yes | characteristic |
| 217 | #127×C67 | — | 2 | 2 | no | — |
| 218 | #127×C67 | — | 4 | 1 | no | — |
| 219 | C2×C42×C67 | C23 | 1 | 1 | yes | characteristic |
| 220 | #104×C67 | — | 2 | 2 | no | — |
| 221 | #104×C67 | — | 2 | 2 | no | — |
| 222 | #100×C67 | — | 2 | 2 | no | — |
| 223 | C23×D67 | — | 2 | 1 | no | — |
| 224 | C23×D67 | — | 2 | 1 | no | — |
| 225 | C23×D67 | — | 4 | 2 | no | — |
| 226 | C23×D67 | — | 4 | 2 | no | — |
| 227 | C23×D67 | — | 4 | 4 | no | — |
| 228 | C23×D67 | — | 4 | 1 | no | — |
| 229 | C23×D67 | — | 4 | 1 | no | — |
| 230 | C23×D67 | — | 8 | 2 | no | — |
| 231 | C23×D67 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | #11761629 | — | 2 | 2 | no | — |
| 233 | #11761629 | — | 4 | 1 | no | — |
| 234 | #11761628 | — | 2 | 1 | no | — |
| 235 | #11761628 | — | 2 | 1 | no | — |
| 236 | #11761628 | — | 2 | 1 | no | — |
| 237 | #11761628 | — | 2 | 1 | no | — |
| 238 | #11761628 | — | 4 | 2 | no | — |
| 239 | #11761628 | — | 4 | 2 | no | — |
| 240 | #11761627 | — | 2 | 2 | no | — |
| 241 | #11761627 | — | 4 | 1 | no | — |
| 242 | #11761627 | — | 4 | 2 | no | — |
| 243 | #11761627 | — | 4 | 2 | no | — |
| 244 | C2×Dic134 | — | 2 | 1 | no | — |
| 245 | C2×Dic134 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | Q8×D67 | — | 2 | 2 | no | — |
| 247 | Q8×D67 | — | 4 | 1 | no | — |
| 248 | C2×D268 | — | 2 | 1 | no | — |
| 249 | C2×D268 | — | 2 | 1 | no | — |
| 250 | C2×D268 | — | 2 | 1 | no | — |
| 251 | C2×D268 | — | 2 | 1 | no | — |
| 252 | C2×D268 | — | 2 | 1 | no | — |
| 253 | C2×D268 | — | 2 | 1 | no | — |
| 254 | C2×D268 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C2×D268 | C2×D4 | 1 | 2 | yes | complemented |
| 256 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 257 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 258 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 259 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 260 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 261 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 262 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 263 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 264 | C2×C22⋊D67 | — | 2 | 2 | no | — |
| 265 | C2×C22⋊D67 | — | 2 | 1 | no | — |
| 266 | C2×C22⋊D67 | — | 4 | 2 | no | — |
| 267 | C2×C22⋊D67 | — | 4 | 2 | no | — |
| 268 | C2×C22⋊D67 | — | 4 | 4 | no | — |
| 269 | C2×C22⋊D67 | — | 4 | 4 | no | — |
| 270 | C2×C22⋊D67 | — | 4 | 4 | no | — |
| 271 | C2×C22⋊D67 | — | 4 | 1 | no | — |
| 272 | C2×C22⋊D67 | — | 4 | 1 | no | — |
| 273 | C2×C22⋊D67 | — | 8 | 2 | no | — |
| 274 | C2×C22⋊D67 | — | 8 | 4 | no | — |
| 275 | D4×D67 | — | 2 | 4 | no | — |
| 276 | D4×D67 | — | 2 | 4 | no | — |
| 277 | D4×D67 | — | 2 | 2 | no | — |
| 278 | D4×D67 | — | 4 | 1 | no | — |
| 279 | D4×D67 | — | 4 | 2 | no | — |
| 280 | D4×D67 | — | 4 | 2 | no | — |
| 281 | D4×D67 | — | 4 | 2 | no | — |
| 282 | D4×D67 | — | 4 | 2 | no | — |
| 283 | D4×D67 | — | 4 | 2 | no | — |
| 284 | D4×D67 | — | 4 | 2 | no | — |
| 285 | D4×D67 | — | 4 | 2 | no | — |
| 286 | D4×D67 | — | 4 | 2 | no | — |
| 287 | C22×Dic67 | — | 2 | 1 | no | — |
| 288 | C22×Dic67 | — | 2 | 2 | no | — |
| 289 | C22×Dic67 | — | 2 | 1 | no | — |
| 290 | C22×Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 291 | C22×Dic67 | C2×D4 | 1 | 2 | yes | — |
| 292 | C2×C4×D67 | — | 2 | 1 | no | — |
| 293 | C2×C4×D67 | — | 2 | 1 | no | — |
| 294 | C2×C4×D67 | — | 2 | 1 | no | — |
| 295 | C2×C4×D67 | — | 2 | 1 | no | — |
| 296 | C2×C4×D67 | — | 2 | 1 | no | — |
| 297 | C2×C4×D67 | — | 2 | 1 | no | — |
| 298 | C2×C4×D67 | — | 2 | 1 | no | — |
| 299 | C2×C4×D67 | — | 4 | 2 | no | — |
| 300 | C2×C4×D67 | — | 4 | 2 | no | — |
| 301 | C2×C4×D67 | C2×D4 | 1 | 1 | yes | characteristic |
| 302 | C2×C4×D67 | C2×D4 | 1 | 1 | yes | characteristic |
| 303 | C2×C4×D67 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C2×C4×D67 | C2×D4 | 1 | 1 | yes | characteristic |
| 305 | #11761617 | — | 2 | 4 | no | — |
| 306 | #11761616 | — | 2 | 4 | no | — |
| 307 | #11761615 | — | 2 | 4 | no | — |
| 308 | #11761615 | — | 4 | 2 | no | — |
| 309 | D536 | — | 2 | 4 | no | — |
| 310 | #11761613 | — | 2 | 4 | no | — |
| 311 | #11761613 | — | 2 | 4 | no | — |
| 312 | #11761613 | — | 4 | 2 | no | — |
| 313 | #11761612 | — | 2 | 1 | no | — |
| 314 | #11761612 | — | 2 | 1 | no | — |
| 315 | #11761612 | — | 2 | 1 | no | — |
| 316 | #11761612 | C2×D4 | 1 | 2 | yes | complemented |
| 317 | #11761611 | — | 2 | 4 | no | — |
| 318 | C2×C67⋊C8 | — | 2 | 1 | no | — |
| 319 | C2×C67⋊C8 | — | 2 | 1 | no | — |
| 320 | C8×D67 | — | 2 | 4 | no | — |
| 321 | C4⋊Dic67 | — | 2 | 2 | no | — |
| 322 | C4⋊Dic67 | — | 2 | 1 | no | — |
| 323 | C4⋊Dic67 | — | 2 | 1 | no | — |
| 324 | C4⋊Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C4⋊Dic67 | C2×D4 | 1 | 1 | yes | characteristic |
| 326 | Dic67⋊C4 | — | 2 | 2 | no | — |
| 327 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 328 | Dic67⋊C4 | — | 2 | 1 | no | — |
| 329 | C22⋊Dic67 | — | 2 | 2 | no | — |
| 330 | C22⋊Dic67 | — | 2 | 2 | no | — |
| 331 | C22⋊Dic67 | — | 2 | 2 | no | — |
| 332 | C22⋊Dic67 | — | 2 | 2 | no | — |
| 333 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 334 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 335 | C22⋊Dic67 | — | 2 | 2 | no | — |
| 336 | C22⋊Dic67 | — | 2 | 2 | no | — |
| 337 | C22⋊Dic67 | — | 2 | 1 | no | — |
| 338 | C22⋊Dic67 | — | 4 | 4 | no | — |
| 339 | (C2×D67)⋊C4 | — | 2 | 4 | no | — |
| 340 | (C2×D67)⋊C4 | — | 2 | 2 | no | — |
| 341 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 342 | (C2×D67)⋊C4 | — | 2 | 1 | no | — |
| 343 | (C2×D67)⋊C4 | — | 4 | 4 | no | — |
| 344 | C4×Dic67 | — | 2 | 2 | no | — |
| 345 | C4×Dic67 | — | 2 | 1 | no | — |
| 346 | C4×Dic67 | — | 2 | 1 | no | — |
| 347 | C4×Dic67 | — | 2 | 1 | no | — |
| 348 | C24×C67 | — | 2 | 2 | no | — |
| 349 | C24×C67 | — | 2 | 1 | no | — |
| 350 | C24×C67 | C2×D4 | 1 | 2 | yes | — |
| 351 | #41×C67 | — | 2 | 1 | no | — |
| 352 | #41×C67 | — | 2 | 1 | no | — |
| 353 | #41×C67 | — | 2 | 1 | no | — |
| 354 | #41×C67 | — | 2 | 1 | no | — |
| 355 | #41×C67 | — | 2 | 1 | no | — |
| 356 | #41×C67 | — | 2 | 1 | no | — |
| 357 | #41×C67 | — | 4 | 2 | no | — |
| 358 | #41×C67 | — | 4 | 2 | no | — |
| 359 | #41×C67 | — | 4 | 2 | no | — |
| 360 | #41×C67 | — | 4 | 2 | no | — |
| 361 | #41×C67 | C2×D4 | 1 | 2 | yes | — |
| 362 | #41×C67 | C2×D4 | 1 | 2 | yes | — |
| 363 | C2×Q8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 364 | C2×Q8×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 365 | C2×D4×C67 | — | 2 | 1 | no | — |
| 366 | C2×D4×C67 | — | 2 | 2 | no | — |
| 367 | C2×D4×C67 | — | 2 | 2 | no | — |
| 368 | C2×D4×C67 | — | 2 | 1 | no | — |
| 369 | C2×D4×C67 | — | 2 | 1 | no | — |
| 370 | C2×D4×C67 | — | 2 | 1 | no | — |
| 371 | C2×D4×C67 | — | 2 | 1 | no | — |
| 372 | C2×D4×C67 | — | 2 | 1 | no | — |
| 373 | C2×D4×C67 | — | 2 | 1 | no | — |
| 374 | C2×D4×C67 | — | 2 | 1 | no | — |
| 375 | C2×D4×C67 | — | 2 | 1 | no | — |
| 376 | C2×D4×C67 | — | 2 | 1 | no | — |
| 377 | C2×D4×C67 | — | 2 | 1 | no | — |
| 378 | C2×D4×C67 | — | 2 | 1 | no | — |
| 379 | C2×D4×C67 | — | 2 | 1 | no | — |
| 380 | C2×D4×C67 | — | 4 | 2 | no | — |
| 381 | C2×D4×C67 | — | 4 | 2 | no | — |
| 382 | C2×D4×C67 | — | 4 | 4 | no | — |
| 383 | C2×D4×C67 | — | 4 | 4 | no | — |
| 384 | C2×D4×C67 | — | 4 | 4 | no | — |
| 385 | C2×D4×C67 | — | 4 | 2 | no | — |
| 386 | C2×D4×C67 | — | 4 | 2 | no | — |
| 387 | C2×D4×C67 | — | 4 | 4 | no | — |
| 388 | C2×D4×C67 | — | 8 | 2 | no | — |
| 389 | C2×D4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 390 | C2×D4×C67 | C2×D4 | 1 | 1 | yes | characteristic |
| 391 | C2×D4×C67 | C2×D4 | 1 | 2 | yes | complemented |
| 392 | C22×C4×C67 | — | 2 | 1 | no | — |
| 393 | C22×C4×C67 | — | 2 | 2 | no | — |
| 394 | C22×C4×C67 | — | 2 | 1 | no | — |
| 395 | C22×C4×C67 | — | 2 | 1 | no | — |
| 396 | C22×C4×C67 | C24 | 1 | 1 | yes | characteristic |
| 397 | SD16×C67 | — | 2 | 4 | no | — |
| 398 | SD16×C67 | — | 4 | 2 | no | — |
| 399 | D8×C67 | — | 2 | 4 | no | — |
| 400 | D8×C67 | — | 4 | 2 | no | — |
| 401 | M16×C67 | — | 2 | 1 | no | — |
| 402 | M16×C67 | — | 2 | 1 | no | — |
| 403 | M16×C67 | — | 2 | 1 | no | — |
| 404 | M16×C67 | C2×D4 | 1 | 2 | yes | complemented |
| 405 | C2×C8×C67 | — | 2 | 1 | no | — |
| 406 | C2×C8×C67 | — | 2 | 1 | no | — |
| 407 | C42×C67 | — | 2 | 1 | no | — |
| 408 | C42×C67 | — | 2 | 1 | no | — |
| 409 | C23×C67 | — | 2 | 1 | no | — |
| 410 | C23×C67 | — | 2 | 2 | no | — |
| 411 | C23×C67 | — | 2 | 1 | no | — |
| 412 | C23×C67 | — | 2 | 2 | no | — |
| 413 | C23×C67 | — | 2 | 2 | no | — |
| 414 | C23×C67 | — | 2 | 2 | no | — |
| 415 | C23×C67 | — | 4 | 2 | no | — |
| 416 | C23×C67 | — | 4 | 2 | no | — |
| 417 | C23×C67 | — | 4 | 4 | no | — |
| 418 | C23×C67 | — | 4 | 2 | no | — |
| 419 | C23×C67 | — | 4 | 2 | no | — |
| 420 | C23×C67 | — | 4 | 1 | no | — |
| 421 | C23×C67 | — | 4 | 1 | no | — |
| 422 | C23×C67 | — | 8 | 2 | no | — |
| 423 | C23×C67 | — | 8 | 2 | no | — |
| 424 | C23×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 425 | C22×D67 | — | 2 | 1 | no | — |
| 426 | C22×D67 | — | 2 | 1 | no | — |
| 427 | C22×D67 | — | 2 | 2 | no | — |
| 428 | C22×D67 | — | 2 | 1 | no | — |
| 429 | C22×D67 | — | 2 | 2 | no | — |
| 430 | C22×D67 | — | 4 | 1 | no | — |
| 431 | C22×D67 | — | 4 | 2 | no | — |
| 432 | C22×D67 | — | 4 | 4 | no | — |
| 433 | C22×D67 | — | 4 | 4 | no | — |
| 434 | C22×D67 | — | 4 | 2 | no | — |
| 435 | C22×D67 | — | 4 | 2 | no | — |
| 436 | C22×D67 | — | 4 | 1 | no | — |
| 437 | C22×D67 | — | 4 | 1 | no | — |
| 438 | C22×D67 | — | 4 | 2 | no | — |
| 439 | C22×D67 | — | 8 | 1 | no | — |
| 440 | C22×D67 | — | 8 | 2 | no | — |
| 441 | C22×D67 | — | 8 | 2 | no | — |
| 442 | C22×D67 | — | 8 | 2 | no | — |
| 443 | C22×D67 | — | 8 | 8 | no | — |
| 444 | C22×D67 | — | 8 | 8 | no | — |
| 445 | C22×D67 | — | 8 | 2 | no | — |
| 446 | C22×D67 | #120 | 1 | 1 | yes | characteristic |
| 447 | C22×D67 | #120 | 1 | 1 | yes | characteristic |
| 448 | Q8×C67 | — | 2 | 1 | no | — |
| 449 | Q8×C67 | — | 2 | 1 | no | — |
| 450 | Q8×C67 | — | 2 | 1 | no | — |
| 451 | Q8×C67 | #120 | 1 | 2 | yes | complemented |
| 452 | D4×C67 | — | 2 | 2 | no | — |
| 453 | D4×C67 | — | 2 | 2 | no | — |
| 454 | D4×C67 | — | 2 | 2 | no | — |
| 455 | D4×C67 | — | 2 | 1 | no | — |
| 456 | D4×C67 | — | 2 | 1 | no | — |
| 457 | D4×C67 | — | 2 | 2 | no | — |
| 458 | D4×C67 | — | 2 | 1 | no | — |
| 459 | D4×C67 | — | 4 | 4 | no | — |
| 460 | D4×C67 | — | 4 | 4 | no | — |
| 461 | D4×C67 | — | 4 | 1 | no | — |
| 462 | D4×C67 | — | 4 | 1 | no | — |
| 463 | D4×C67 | — | 4 | 1 | no | — |
| 464 | D4×C67 | — | 4 | 1 | no | — |
| 465 | D4×C67 | — | 4 | 1 | no | — |
| 466 | D4×C67 | — | 4 | 1 | no | — |
| 467 | D4×C67 | — | 4 | 1 | no | — |
| 468 | D4×C67 | — | 4 | 1 | no | — |
| 469 | D4×C67 | — | 8 | 8 | no | — |
| 470 | D4×C67 | #120 | 1 | 2 | yes | complemented |
| 471 | C2×C4×C67 | — | 2 | 1 | no | — |
| 472 | C2×C4×C67 | — | 2 | 2 | no | — |
| 473 | C2×C4×C67 | — | 2 | 2 | no | — |
| 474 | C2×C4×C67 | — | 2 | 2 | no | — |
| 475 | C2×C4×C67 | — | 2 | 1 | no | — |
| 476 | C2×C4×C67 | — | 4 | 4 | no | — |
| 477 | C2×C4×C67 | — | 4 | 1 | no | — |
| 478 | C2×C4×C67 | — | 4 | 1 | no | — |
| 479 | C2×C4×C67 | — | 4 | 1 | no | — |
| 480 | C2×C4×C67 | — | 4 | 1 | no | — |
| 481 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 482 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 483 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 484 | C2×C4×C67 | C22×D4 | 1 | 1 | yes | characteristic |
| 485 | C2×C4×C67 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 486 | C2×C4×C67 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 487 | C22⋊D67 | — | 4 | 2 | no | — |
| 488 | C22⋊D67 | — | 4 | 4 | no | — |
| 489 | C22⋊D67 | — | 4 | 4 | no | — |
| 490 | C22⋊D67 | — | 4 | 2 | no | — |
| 491 | C22⋊D67 | — | 4 | 1 | no | — |
| 492 | C22⋊D67 | — | 4 | 1 | no | — |
| 493 | C22⋊D67 | — | 4 | 4 | no | — |
| 494 | C22⋊D67 | — | 4 | 2 | no | — |
| 495 | C22⋊D67 | — | 8 | 1 | no | — |
| 496 | C22⋊D67 | — | 8 | 2 | no | — |
| 497 | C22⋊D67 | — | 8 | 2 | no | — |
| 498 | C22⋊D67 | — | 8 | 2 | no | — |
| 499 | C22⋊D67 | — | 8 | 2 | no | — |
| 500 | C22⋊D67 | — | 8 | 8 | no | — |
| 501 | C2×Dic67 | — | 2 | 1 | no | — |
| 502 | C2×Dic67 | — | 2 | 1 | no | — |
| 503 | C2×Dic67 | — | 2 | 2 | no | — |
| 504 | C2×Dic67 | — | 2 | 1 | no | — |
| 505 | C2×Dic67 | — | 2 | 2 | no | — |
| 506 | C2×Dic67 | — | 2 | 1 | no | — |
| 507 | C2×Dic67 | — | 2 | 1 | no | — |
| 508 | C2×Dic67 | — | 4 | 2 | no | — |
| 509 | C2×Dic67 | — | 4 | 1 | no | — |
| 510 | C2×Dic67 | — | 4 | 1 | no | — |
| 511 | C2×Dic67 | — | 4 | 2 | no | — |
| 512 | C2×Dic67 | — | 8 | 2 | no | — |
| 513 | C2×Dic67 | #120 | 1 | 1 | yes | characteristic |
| 514 | C2×Dic67 | #120 | 1 | 1 | yes | characteristic |
| 515 | D268 | — | 2 | 1 | no | — |
| 516 | D268 | — | 2 | 2 | no | — |
| 517 | D268 | — | 2 | 1 | no | — |
| 518 | D268 | — | 2 | 2 | no | — |
| 519 | D268 | — | 4 | 2 | no | — |
| 520 | D268 | — | 4 | 1 | no | — |
| 521 | D268 | — | 4 | 1 | no | — |
| 522 | C4×D67 | — | 2 | 1 | no | — |
| 523 | C4×D67 | — | 2 | 1 | no | — |
| 524 | C4×D67 | — | 2 | 1 | no | — |
| 525 | C4×D67 | — | 2 | 1 | no | — |
| 526 | C4×D67 | — | 2 | 1 | no | — |
| 527 | C4×D67 | — | 2 | 1 | no | — |
| 528 | C4×D67 | — | 2 | 1 | no | — |
| 529 | C4×D67 | — | 2 | 1 | no | — |
| 530 | C4×D67 | — | 4 | 2 | no | — |
| 531 | C4×D67 | — | 4 | 2 | no | — |
| 532 | C4×D67 | — | 4 | 1 | no | — |
| 533 | C4×D67 | — | 4 | 1 | no | — |
| 534 | Dic134 | — | 2 | 1 | no | — |
| 535 | Dic134 | — | 2 | 1 | no | — |
| 536 | Dic134 | — | 4 | 2 | no | — |
| 537 | C8×C67 | — | 2 | 2 | no | — |
| 538 | C8×C67 | — | 4 | 1 | no | — |
| 539 | C67⋊C8 | — | 2 | 2 | no | — |
| 540 | C67⋊C8 | — | 4 | 1 | no | — |
| 541 | C22×C67 | — | 2 | 1 | no | — |
| 542 | C22×C67 | — | 2 | 1 | no | — |
| 543 | C22×C67 | — | 2 | 2 | no | — |
| 544 | C22×C67 | — | 4 | 4 | no | — |
| 545 | C22×C67 | — | 4 | 1 | no | — |
| 546 | C22×C67 | — | 4 | 1 | no | — |
| 547 | C22×C67 | — | 4 | 2 | no | — |
| 548 | C22×C67 | — | 4 | 1 | no | — |
| 549 | C22×C67 | — | 4 | 2 | no | — |
| 550 | C22×C67 | — | 4 | 2 | no | — |
| 551 | C22×C67 | — | 4 | 1 | no | — |
| 552 | C22×C67 | — | 4 | 2 | no | — |
| 553 | C22×C67 | — | 4 | 1 | no | — |
| 554 | C22×C67 | — | 8 | 2 | no | — |
| 555 | C22×C67 | — | 8 | 2 | no | — |
| 556 | C22×C67 | — | 8 | 2 | no | — |
| 557 | C22×C67 | — | 8 | 1 | no | — |
| 558 | C22×C67 | — | 8 | 1 | no | — |
| 559 | C22×C67 | — | 16 | 4 | no | — |
| 560 | C22×C67 | C2×#120 | 1 | 1 | yes | characteristic |
| 561 | C22×C67 | D42 | 1 | 1 | yes | characteristic |
| 562 | C22×C67 | D42 | 1 | 1 | yes | characteristic |
| 563 | C2×D67 | — | 2 | 1 | no | — |
| 564 | C2×D67 | — | 2 | 1 | no | — |
| 565 | C2×D67 | — | 2 | 1 | no | — |
| 566 | C2×D67 | — | 2 | 1 | no | — |
| 567 | C2×D67 | — | 2 | 1 | no | — |
| 568 | C2×D67 | — | 4 | 2 | no | — |
| 569 | C2×D67 | — | 4 | 2 | no | — |
| 570 | C2×D67 | — | 4 | 4 | no | — |
| 571 | C2×D67 | — | 4 | 1 | no | — |
| 572 | C2×D67 | — | 4 | 2 | no | — |
| 573 | C2×D67 | — | 4 | 1 | no | — |
| 574 | C2×D67 | — | 4 | 1 | no | — |
| 575 | C2×D67 | — | 8 | 4 | no | — |
| 576 | C2×D67 | — | 8 | 8 | no | — |
| 577 | C2×D67 | — | 8 | 8 | no | — |
| 578 | C2×D67 | — | 8 | 2 | no | — |
| 579 | C2×D67 | — | 8 | 1 | no | — |
| 580 | C2×D67 | — | 8 | 1 | no | — |
| 581 | C2×D67 | #453 | 1 | 2 | yes | complemented |
| 582 | C4×C67 | — | 2 | 2 | no | — |
| 583 | C4×C67 | — | 4 | 2 | no | — |
| 584 | C4×C67 | — | 4 | 1 | no | — |
| 585 | C4×C67 | C2×#120 | 1 | 1 | yes | characteristic |
| 586 | C4×C67 | #534 | 1 | 1 | yes | characteristic |
| 587 | C4×C67 | D42 | 1 | 1 | yes | characteristic |
| 588 | C4×C67 | D42 | 1 | 1 | yes | characteristic |
| 589 | Dic67 | — | 2 | 1 | no | — |
| 590 | Dic67 | — | 2 | 1 | no | — |
| 591 | Dic67 | — | 4 | 2 | no | — |
| 592 | Dic67 | — | 4 | 1 | no | — |
| 593 | Dic67 | — | 4 | 2 | no | — |
| 594 | Dic67 | — | 4 | 1 | no | — |
| 595 | Dic67 | — | 4 | 1 | no | — |
| 596 | #23876 | — | 67 | 1 | no | maximal, Sylow |
| 597 | C2×C67 | — | 2 | 1 | no | — |
| 598 | C2×C67 | — | 2 | 1 | no | — |
| 599 | C2×C67 | — | 4 | 2 | no | — |
| 600 | C2×C67 | — | 8 | 2 | no | — |
| 601 | C2×C67 | — | 8 | 2 | no | — |
| 602 | C2×C67 | — | 8 | 1 | no | — |
| 603 | C2×C67 | #2403 | 1 | 1 | yes | characteristic |
| 604 | C2×C67 | C2×#453 | 1 | 1 | yes | characteristic |
| 605 | C2×C67 | #3021 | 1 | 1 | yes | characteristic |
| 606 | D67 | — | 2 | 2 | no | — |
| 607 | D67 | — | 4 | 1 | no | — |
| 608 | D67 | — | 8 | 1 | no | — |
| 609 | D67 | — | 8 | 2 | no | — |
| 610 | C22×AGL(1,ℤ/8) | — | 67 | 1 | no | — |
| 611 | #3488 | — | 67 | 1 | no | — |
| 612 | C2×#453 | — | 67 | 1 | no | — |
| 613 | C2×#453 | D67 | 1 | 1 | yes | characteristic, complemented |
| 614 | #3003 | — | 67 | 1 | no | — |
| 615 | #2433 | — | 67 | 1 | no | — |
| 616 | #2006 | — | 67 | 1 | no | — |
| 617 | #2006 | — | 67 | 1 | no | — |
| 618 | #2002 | — | 67 | 1 | no | — |
| 619 | #2002 | — | 67 | 1 | no | — |
| 620 | #1900 | — | 67 | 1 | no | — |
| 621 | #1883 | — | 67 | 1 | no | — |
| 622 | #1883 | — | 67 | 1 | no | — |
| 623 | #1871 | — | 67 | 1 | no | — |
| 624 | #1789 | — | 67 | 1 | no | — |
| 625 | C67 | #23876 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 626 | C2×H(5,𝔽2) | C2×D67 | 1 | 1 | yes | characteristic, complemented |
| 627 | C22×#41 | — | 67 | 1 | no | — |
| 628 | C23×D4 | — | 67 | 1 | no | — |
| 629 | C2×AGL(1,ℤ/8) | — | 67 | 1 | no | — |
| 630 | C2×AGL(1,ℤ/8) | — | 67 | 1 | no | — |
| 631 | C2×AGL(1,ℤ/8) | — | 67 | 1 | no | — |
| 632 | C2×AGL(1,ℤ/8) | — | 67 | 1 | no | — |
| 633 | C2×AGL(1,ℤ/8) | — | 134 | 1 | no | — |
| 634 | C2×AGL(1,ℤ/8) | — | 134 | 1 | no | — |
| 635 | C2×AGL(1,ℤ/8) | — | 134 | 4 | no | — |
| 636 | C2×AGL(1,ℤ/8) | — | 134 | 4 | no | — |
| 637 | C2×AGL(1,ℤ/8) | C2×D67 | 1 | 1 | yes | characteristic |
| 638 | C2×AGL(1,ℤ/8) | C2×D67 | 1 | 1 | yes | characteristic, complemented |
| 639 | C22×SD16 | — | 134 | 1 | no | — |
| 640 | C22×D8 | — | 134 | 1 | no | — |
| 641 | C22×M16 | — | 67 | 1 | no | — |
| 642 | #550 | — | 134 | 1 | no | — |
| 643 | #548 | — | 134 | 1 | no | — |
| 644 | #546 | — | 134 | 2 | no | — |
| 645 | #546 | — | 134 | 1 | no | — |
| 646 | D42 | — | 134 | 1 | no | — |
| 647 | D42 | — | 134 | 2 | no | — |
| 648 | #537 | — | 67 | 1 | no | — |
| 649 | #537 | — | 134 | 1 | no | — |
| 650 | #535 | — | 67 | 1 | no | — |
| 651 | #535 | — | 134 | 1 | no | — |
| 652 | C2×#127 | — | 67 | 1 | no | — |
| 653 | C2×#127 | C2×D67 | 1 | 1 | yes | characteristic, complemented |
| 654 | #525 | — | 67 | 1 | no | — |
| 655 | #525 | — | 134 | 1 | no | — |
| 656 | C2×#121 | — | 67 | 1 | no | — |
| 657 | C2×#121 | — | 134 | 1 | no | — |
| 658 | C2×#120 | — | 134 | 2 | no | — |
| 659 | #520 | — | 67 | 1 | no | — |
| 660 | #453 | — | 2 | 4 | no | — |
| 661 | #453 | — | 134 | 4 | no | — |
| 662 | #450 | — | 134 | 1 | no | — |
| 663 | #450 | — | 134 | 1 | no | — |
| 664 | #447 | — | 134 | 1 | no | — |
| 665 | #447 | — | 134 | 1 | no | — |
| 666 | C2×#104 | — | 67 | 1 | no | — |
| 667 | C2×#104 | — | 67 | 1 | no | — |
| 668 | C2×#104 | — | 67 | 1 | no | — |
| 669 | C2×#104 | — | 67 | 1 | no | — |
| 670 | C2×#104 | C2×D67 | 1 | 1 | yes | characteristic, complemented |
| 671 | C2×#104 | C2×D67 | 1 | 1 | yes | characteristic, complemented |
| 672 | #418 | — | 67 | 1 | no | — |
| 673 | #418 | — | 67 | 1 | no | — |
| 674 | C2×#100 | — | 67 | 1 | no | — |
| 675 | C2×#100 | C2×D67 | 1 | 1 | yes | characteristic, complemented |
| 676 | #407 | — | 67 | 1 | no | — |
| 677 | #392 | — | 134 | 2 | no | — |
| 678 | #390 | — | 67 | 1 | no | — |
| 679 | #390 | — | 67 | 1 | no | — |
| 680 | C4×C22⋊C4 | — | 67 | 1 | no | — |
| 681 | #343 | — | 67 | 1 | no | — |
| 682 | #343 | — | 67 | 1 | no | — |
| 683 | #339 | — | 67 | 1 | no | — |
| 684 | #339 | — | 67 | 1 | no | — |
| 685 | C25 | — | 134 | 1 | no | — |
| 686 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 687 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 688 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 689 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 690 | C2×#41 | — | 2 | 1 | no | — |
| 691 | C2×#41 | — | 2 | 1 | no | — |
| 692 | C2×#41 | — | 268 | 1 | no | — |
| 693 | C2×#41 | — | 268 | 1 | no | — |
| 694 | C2×#41 | — | 67 | 1 | no | — |
| 695 | C2×#41 | — | 67 | 1 | no | — |
| 696 | C2×#41 | — | 67 | 1 | no | — |
| 697 | C2×#41 | — | 134 | 1 | no | — |
| 698 | C2×#41 | — | 134 | 2 | no | — |
| 699 | C2×#41 | — | 134 | 2 | no | — |
| 700 | C2×#41 | — | 134 | 1 | no | — |
| 701 | C2×#41 | C22×D67 | 1 | 1 | yes | characteristic |
| 702 | C2×#41 | C22×D67 | 1 | 1 | yes | characteristic |
| 703 | C22×Q8 | — | 67 | 1 | no | — |
| 704 | C22×D4 | — | 2 | 2 | no | — |
| 705 | C22×D4 | — | 2 | 1 | no | — |
| 706 | C22×D4 | — | 2 | 1 | no | — |
| 707 | C22×D4 | — | 2 | 2 | no | — |
| 708 | C22×D4 | — | 268 | 1 | no | — |
| 709 | C22×D4 | — | 268 | 1 | no | — |
| 710 | C22×D4 | — | 67 | 2 | no | — |
| 711 | C22×D4 | — | 67 | 1 | no | — |
| 712 | C22×D4 | — | 67 | 1 | no | — |
| 713 | C22×D4 | — | 134 | 1 | no | — |
| 714 | C22×D4 | — | 134 | 1 | no | — |
| 715 | C22×D4 | — | 134 | 1 | no | — |
| 716 | C22×D4 | — | 134 | 1 | no | — |
| 717 | C22×D4 | — | 134 | 1 | no | — |
| 718 | C22×D4 | — | 134 | 1 | no | — |
| 719 | C22×D4 | — | 134 | 2 | no | — |
| 720 | C22×D4 | — | 134 | 2 | no | — |
| 721 | C22×D4 | — | 134 | 2 | no | — |
| 722 | C22×D4 | — | 134 | 2 | no | — |
| 723 | C22×D4 | C22×D67 | 1 | 1 | yes | characteristic |
| 724 | C22×D4 | C22×D67 | 1 | 1 | yes | characteristic |
| 725 | C23×C4 | — | 67 | 1 | no | — |
| 726 | C23×C4 | — | 134 | 1 | no | — |
| 727 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 728 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 729 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 730 | AGL(1,ℤ/8) | — | 268 | 1 | no | — |
| 731 | AGL(1,ℤ/8) | — | 67 | 4 | no | — |
| 732 | AGL(1,ℤ/8) | — | 134 | 2 | no | — |
| 733 | AGL(1,ℤ/8) | — | 134 | 2 | no | — |
| 734 | AGL(1,ℤ/8) | — | 134 | 8 | no | — |
| 735 | AGL(1,ℤ/8) | — | 134 | 2 | no | — |
| 736 | AGL(1,ℤ/8) | — | 134 | 8 | no | — |
| 737 | AGL(1,ℤ/8) | — | 134 | 2 | no | — |
| 738 | AGL(1,ℤ/8) | — | 134 | 2 | no | — |
| 739 | AGL(1,ℤ/8) | — | 134 | 2 | no | — |
| 740 | AGL(1,ℤ/8) | C22⋊D67 | 1 | 4 | yes | complemented |
| 741 | C2×SD16 | — | 2 | 1 | no | — |
| 742 | C2×SD16 | — | 2 | 1 | no | — |
| 743 | C2×SD16 | — | 134 | 1 | no | — |
| 744 | C2×SD16 | — | 134 | 8 | no | — |
| 745 | C2×SD16 | — | 134 | 1 | no | — |
| 746 | C2×SD16 | — | 134 | 1 | no | — |
| 747 | C2×SD16 | — | 134 | 1 | no | — |
| 748 | C2×D8 | — | 2 | 1 | no | — |
| 749 | C2×D8 | — | 2 | 1 | no | — |
| 750 | C2×D8 | — | 134 | 1 | no | — |
| 751 | C2×D8 | — | 134 | 8 | no | — |
| 752 | C2×D8 | — | 134 | 1 | no | — |
| 753 | C2×D8 | — | 134 | 1 | no | — |
| 754 | C2×D8 | — | 134 | 1 | no | — |
| 755 | C2×M16 | — | 67 | 1 | no | — |
| 756 | C2×M16 | — | 67 | 1 | no | — |
| 757 | C2×M16 | — | 134 | 1 | no | — |
| 758 | C2×M16 | — | 134 | 2 | no | — |
| 759 | C2×M16 | — | 134 | 2 | no | — |
| 760 | C2×M16 | C22×D67 | 1 | 1 | yes | characteristic |
| 761 | C2×M16 | C22×D67 | 1 | 1 | yes | characteristic |
| 762 | C22×C8 | — | 134 | 1 | no | — |
| 763 | #127 | — | 2 | 2 | no | — |
| 764 | #127 | — | 4 | 1 | no | — |
| 765 | #127 | — | 268 | 1 | no | — |
| 766 | #127 | — | 134 | 2 | no | — |
| 767 | #127 | — | 134 | 1 | no | — |
| 768 | #127 | — | 134 | 2 | no | — |
| 769 | #124 | — | 134 | 1 | no | — |
| 770 | #124 | — | 134 | 2 | no | — |
| 771 | #123 | — | 134 | 1 | no | — |
| 772 | #123 | — | 134 | 2 | no | — |
| 773 | C22⋊Q8 | — | 67 | 1 | no | — |
| 774 | C22⋊Q8 | — | 67 | 1 | no | — |
| 775 | C22⋊Q8 | — | 134 | 1 | no | — |
| 776 | C22⋊Q8 | — | 134 | 2 | no | — |
| 777 | C22⋊Q8 | — | 134 | 1 | no | — |
| 778 | #121 | — | 67 | 1 | no | — |
| 779 | #121 | — | 67 | 1 | no | — |
| 780 | #121 | — | 134 | 1 | no | — |
| 781 | #121 | — | 134 | 1 | no | — |
| 782 | #121 | — | 134 | 1 | no | — |
| 783 | #121 | — | 134 | 2 | no | — |
| 784 | #121 | — | 134 | 1 | no | — |
| 785 | #121 | — | 134 | 1 | no | — |
| 786 | #121 | — | 134 | 1 | no | — |
| 787 | #121 | — | 134 | 1 | no | — |
| 788 | #121 | — | 134 | 2 | no | — |
| 789 | #121 | — | 134 | 2 | no | — |
| 790 | #121 | — | 134 | 2 | no | — |
| 791 | #121 | — | 134 | 2 | no | — |
| 792 | #121 | — | 134 | 2 | no | — |
| 793 | #121 | — | 134 | 1 | no | — |
| 794 | #120 | — | 268 | 8 | no | — |
| 795 | #120 | — | 134 | 1 | no | — |
| 796 | #120 | — | 134 | 2 | no | — |
| 797 | #120 | — | 134 | 2 | no | — |
| 798 | #120 | — | 134 | 2 | no | — |
| 799 | #120 | — | 134 | 2 | no | — |
| 800 | C4×Q8 | — | 134 | 1 | no | — |
| 801 | C4×D4 | — | 134 | 1 | no | — |
| 802 | C4×D4 | — | 134 | 1 | no | — |
| 803 | C4×D4 | — | 134 | 2 | no | — |
| 804 | C4×D4 | — | 134 | 2 | no | — |
| 805 | C4×D4 | — | 134 | 2 | no | — |
| 806 | C4×D4 | — | 134 | 1 | no | — |
| 807 | #117 | — | 67 | 1 | no | — |
| 808 | #117 | — | 134 | 1 | no | — |
| 809 | C2×C4⋊C4 | — | 67 | 1 | no | — |
| 810 | C2×C4⋊C4 | — | 134 | 1 | no | — |
| 811 | C2×C22⋊C4 | — | 67 | 2 | no | — |
| 812 | C2×C22⋊C4 | — | 134 | 2 | no | — |
| 813 | C2×C22⋊C4 | — | 134 | 2 | no | — |
| 814 | C2×C22⋊C4 | — | 134 | 1 | no | — |
| 815 | C2×C22⋊C4 | — | 134 | 2 | no | — |
| 816 | C2×C42 | — | 67 | 1 | no | — |
| 817 | C2×C42 | C22×D67 | 1 | 1 | yes | characteristic |
| 818 | #104 | — | 2 | 2 | no | — |
| 819 | #104 | — | 2 | 2 | no | — |
| 820 | #104 | — | 268 | 1 | no | — |
| 821 | #104 | — | 268 | 1 | no | — |
| 822 | #104 | — | 134 | 2 | no | — |
| 823 | #104 | — | 134 | 2 | no | — |
| 824 | #102 | — | 134 | 1 | no | — |
| 825 | #102 | — | 134 | 1 | no | — |
| 826 | #102 | — | 134 | 1 | no | — |
| 827 | #102 | — | 134 | 1 | no | — |
| 828 | #100 | — | 2 | 2 | no | — |
| 829 | #100 | — | 134 | 2 | no | — |
| 830 | C22⋊C8 | — | 134 | 1 | no | — |
| 831 | C22⋊C8 | — | 134 | 1 | no | — |
| 832 | #95 | — | 134 | 1 | no | — |
| 833 | C24 | — | 2 | 2 | no | — |
| 834 | C24 | — | 2 | 1 | no | — |
| 835 | C24 | — | 268 | 2 | no | — |
| 836 | C24 | — | 268 | 1 | no | — |
| 837 | C24 | — | 268 | 1 | no | — |
| 838 | C24 | — | 268 | 2 | no | — |
| 839 | C24 | — | 268 | 4 | no | — |
| 840 | C24 | — | 536 | 2 | no | — |
| 841 | C24 | — | 67 | 1 | no | — |
| 842 | C24 | — | 134 | 1 | no | — |
| 843 | C24 | — | 134 | 1 | no | — |
| 844 | C24 | D4×D67 | 1 | 2 | yes | — |
| 845 | #41 | — | 2 | 1 | no | — |
| 846 | #41 | — | 2 | 1 | no | — |
| 847 | #41 | — | 2 | 1 | no | — |
| 848 | #41 | — | 2 | 1 | no | — |
| 849 | #41 | — | 2 | 1 | no | — |
| 850 | #41 | — | 2 | 1 | no | — |
| 851 | #41 | — | 4 | 2 | no | — |
| 852 | #41 | — | 4 | 2 | no | — |
| 853 | #41 | — | 4 | 2 | no | — |
| 854 | #41 | — | 4 | 2 | no | — |
| 855 | #41 | — | 268 | 2 | no | — |
| 856 | #41 | — | 268 | 2 | no | — |
| 857 | #41 | — | 268 | 2 | no | — |
| 858 | #41 | — | 268 | 2 | no | — |
| 859 | #41 | — | 268 | 1 | no | — |
| 860 | #41 | — | 268 | 1 | no | — |
| 861 | #41 | — | 134 | 2 | no | — |
| 862 | #41 | — | 134 | 2 | no | — |
| 863 | #41 | — | 134 | 1 | no | — |
| 864 | #41 | — | 134 | 1 | no | — |
| 865 | #41 | — | 134 | 1 | no | — |
| 866 | #41 | — | 134 | 1 | no | — |
| 867 | #41 | D4×D67 | 1 | 2 | yes | — |
| 868 | #41 | C2×C22⋊D67 | 1 | 2 | yes | — |
| 869 | C2×Q8 | — | 268 | 1 | no | — |
| 870 | C2×Q8 | — | 67 | 1 | no | — |
| 871 | C2×Q8 | — | 134 | 1 | no | — |
| 872 | C2×Q8 | — | 134 | 2 | no | — |
| 873 | C2×Q8 | D4×D67 | 1 | 1 | yes | characteristic |
| 874 | C2×Q8 | D4×D67 | 1 | 1 | yes | characteristic |
| 875 | C2×D4 | — | 2 | 1 | no | — |
| 876 | C2×D4 | — | 2 | 2 | no | — |
| 877 | C2×D4 | — | 2 | 2 | no | — |
| 878 | C2×D4 | — | 2 | 1 | no | — |
| 879 | C2×D4 | — | 2 | 1 | no | — |
| 880 | C2×D4 | — | 2 | 1 | no | — |
| 881 | C2×D4 | — | 2 | 1 | no | — |
| 882 | C2×D4 | — | 2 | 1 | no | — |
| 883 | C2×D4 | — | 2 | 1 | no | — |
| 884 | C2×D4 | — | 2 | 1 | no | — |
| 885 | C2×D4 | — | 2 | 1 | no | — |
| 886 | C2×D4 | — | 2 | 1 | no | — |
| 887 | C2×D4 | — | 2 | 1 | no | — |
| 888 | C2×D4 | — | 2 | 1 | no | — |
| 889 | C2×D4 | — | 2 | 1 | no | — |
| 890 | C2×D4 | — | 4 | 2 | no | — |
| 891 | C2×D4 | — | 4 | 2 | no | — |
| 892 | C2×D4 | — | 4 | 4 | no | — |
| 893 | C2×D4 | — | 4 | 4 | no | — |
| 894 | C2×D4 | — | 4 | 4 | no | — |
| 895 | C2×D4 | — | 4 | 2 | no | — |
| 896 | C2×D4 | — | 4 | 2 | no | — |
| 897 | C2×D4 | — | 4 | 4 | no | — |
| 898 | C2×D4 | — | 8 | 2 | no | — |
| 899 | C2×D4 | — | 268 | 2 | no | — |
| 900 | C2×D4 | — | 268 | 2 | no | — |
| 901 | C2×D4 | — | 268 | 4 | no | — |
| 902 | C2×D4 | — | 268 | 4 | no | — |
| 903 | C2×D4 | — | 268 | 1 | no | — |
| 904 | C2×D4 | — | 268 | 1 | no | — |
| 905 | C2×D4 | — | 268 | 2 | no | — |
| 906 | C2×D4 | — | 268 | 2 | no | — |
| 907 | C2×D4 | — | 268 | 1 | no | — |
| 908 | C2×D4 | — | 268 | 2 | no | — |
| 909 | C2×D4 | — | 268 | 2 | no | — |
| 910 | C2×D4 | — | 268 | 2 | no | — |
| 911 | C2×D4 | — | 268 | 2 | no | — |
| 912 | C2×D4 | — | 268 | 2 | no | — |
| 913 | C2×D4 | — | 268 | 2 | no | — |
| 914 | C2×D4 | — | 268 | 4 | no | — |
| 915 | C2×D4 | — | 536 | 2 | no | — |
| 916 | C2×D4 | — | 536 | 4 | no | — |
| 917 | C2×D4 | — | 67 | 1 | no | — |
| 918 | C2×D4 | — | 67 | 2 | no | — |
| 919 | C2×D4 | — | 134 | 1 | no | — |
| 920 | C2×D4 | — | 134 | 1 | no | — |
| 921 | C2×D4 | — | 134 | 4 | no | — |
| 922 | C2×D4 | — | 134 | 4 | no | — |
| 923 | C2×D4 | — | 134 | 1 | no | — |
| 924 | C2×D4 | — | 134 | 2 | no | — |
| 925 | C2×D4 | — | 134 | 1 | no | — |
| 926 | C2×D4 | — | 134 | 1 | no | — |
| 927 | C2×D4 | — | 134 | 2 | no | — |
| 928 | C2×D4 | — | 134 | 1 | no | — |
| 929 | C2×D4 | — | 134 | 2 | no | — |
| 930 | C2×D4 | — | 134 | 2 | no | — |
| 931 | C2×D4 | — | 134 | 2 | no | — |
| 932 | C2×D4 | — | 134 | 2 | no | — |
| 933 | C2×D4 | — | 134 | 1 | no | — |
| 934 | C2×D4 | — | 134 | 1 | no | — |
| 935 | C2×D4 | — | 134 | 1 | no | — |
| 936 | C2×D4 | — | 134 | 1 | no | — |
| 937 | C2×D4 | — | 134 | 1 | no | — |
| 938 | C2×D4 | D4×D67 | 1 | 1 | yes | characteristic |
| 939 | C2×D4 | D4×D67 | 1 | 1 | yes | characteristic |
| 940 | C2×D4 | C2×C22⋊D67 | 1 | 2 | yes | complemented |
| 941 | C22×C4 | — | 2 | 1 | no | — |
| 942 | C22×C4 | — | 2 | 2 | no | — |
| 943 | C22×C4 | — | 2 | 1 | no | — |
| 944 | C22×C4 | — | 2 | 1 | no | — |
| 945 | C22×C4 | — | 268 | 2 | no | — |
| 946 | C22×C4 | — | 268 | 2 | no | — |
| 947 | C22×C4 | — | 67 | 2 | no | — |
| 948 | C22×C4 | — | 67 | 1 | no | — |
| 949 | C22×C4 | — | 67 | 1 | no | — |
| 950 | C22×C4 | — | 67 | 1 | no | — |
| 951 | C22×C4 | — | 67 | 1 | no | — |
| 952 | C22×C4 | — | 67 | 1 | no | — |
| 953 | C22×C4 | — | 134 | 1 | no | — |
| 954 | C22×C4 | — | 134 | 1 | no | — |
| 955 | C22×C4 | — | 134 | 1 | no | — |
| 956 | C22×C4 | — | 134 | 1 | no | — |
| 957 | C22×C4 | — | 134 | 1 | no | — |
| 958 | C22×C4 | — | 134 | 2 | no | — |
| 959 | C22×C4 | — | 134 | 1 | no | — |
| 960 | C22×C4 | — | 134 | 1 | no | — |
| 961 | C22×C4 | — | 134 | 1 | no | — |
| 962 | C22×C4 | — | 134 | 1 | no | — |
| 963 | C22×C4 | C23×D67 | 1 | 1 | yes | characteristic |
| 964 | SD16 | — | 2 | 4 | no | — |
| 965 | SD16 | — | 4 | 2 | no | — |
| 966 | SD16 | — | 268 | 2 | no | — |
| 967 | SD16 | — | 134 | 4 | no | — |
| 968 | SD16 | — | 134 | 4 | no | — |
| 969 | SD16 | — | 134 | 4 | no | — |
| 970 | D8 | — | 2 | 4 | no | — |
| 971 | D8 | — | 4 | 2 | no | — |
| 972 | D8 | — | 268 | 2 | no | — |
| 973 | D8 | — | 134 | 4 | no | — |
| 974 | D8 | — | 134 | 4 | no | — |
| 975 | D8 | — | 134 | 4 | no | — |
| 976 | M16 | — | 2 | 1 | no | — |
| 977 | M16 | — | 2 | 1 | no | — |
| 978 | M16 | — | 2 | 1 | no | — |
| 979 | M16 | — | 67 | 2 | no | — |
| 980 | M16 | — | 134 | 4 | no | — |
| 981 | M16 | — | 134 | 1 | no | — |
| 982 | M16 | — | 134 | 1 | no | — |
| 983 | M16 | — | 134 | 1 | no | — |
| 984 | M16 | C2×C22⋊D67 | 1 | 2 | yes | complemented |
| 985 | C2×C8 | — | 2 | 1 | no | — |
| 986 | C2×C8 | — | 2 | 1 | no | — |
| 987 | C2×C8 | — | 134 | 4 | no | — |
| 988 | C2×C8 | — | 134 | 1 | no | — |
| 989 | C2×C8 | — | 134 | 1 | no | — |
| 990 | C4⋊C4 | — | 67 | 1 | no | — |
| 991 | C4⋊C4 | — | 67 | 1 | no | — |
| 992 | C4⋊C4 | — | 134 | 1 | no | — |
| 993 | C4⋊C4 | — | 134 | 1 | no | — |
| 994 | C4⋊C4 | — | 134 | 2 | no | — |
| 995 | C4⋊C4 | — | 134 | 2 | no | — |
| 996 | C4⋊C4 | — | 134 | 1 | no | — |
| 997 | C4⋊C4 | — | 134 | 1 | no | — |
| 998 | C22⋊C4 | — | 268 | 4 | no | — |
| 999 | C22⋊C4 | — | 268 | 4 | no | — |
| 1000 | C22⋊C4 | — | 134 | 1 | no | — |
| 1001 | C22⋊C4 | — | 134 | 1 | no | — |
| 1002 | C22⋊C4 | — | 134 | 4 | no | — |
| 1003 | C22⋊C4 | — | 134 | 2 | no | — |
| 1004 | C22⋊C4 | — | 134 | 2 | no | — |
| 1005 | C22⋊C4 | — | 134 | 2 | no | — |
| 1006 | C22⋊C4 | — | 134 | 1 | no | — |
| 1007 | C22⋊C4 | — | 134 | 1 | no | — |
| 1008 | C22⋊C4 | — | 134 | 2 | no | — |
| 1009 | C22⋊C4 | — | 134 | 2 | no | — |
| 1010 | C22⋊C4 | — | 134 | 2 | no | — |
| 1011 | C22⋊C4 | — | 134 | 2 | no | — |
| 1012 | C22⋊C4 | — | 134 | 1 | no | — |
| 1013 | C42 | — | 2 | 1 | no | — |
| 1014 | C42 | — | 2 | 1 | no | — |
| 1015 | C42 | — | 134 | 2 | no | — |
| 1016 | C42 | — | 134 | 1 | no | — |
| 1017 | C42 | — | 134 | 1 | no | — |
| 1018 | C42 | — | 134 | 1 | no | — |
| 1019 | C23 | — | 2 | 1 | no | — |
| 1020 | C23 | — | 2 | 2 | no | — |
| 1021 | C23 | — | 2 | 2 | no | — |
| 1022 | C23 | — | 2 | 1 | no | — |
| 1023 | C23 | — | 2 | 2 | no | — |
| 1024 | C23 | — | 2 | 2 | no | — |
| 1025 | C23 | — | 4 | 2 | no | — |
| 1026 | C23 | — | 4 | 2 | no | — |
| 1027 | C23 | — | 4 | 4 | no | — |
| 1028 | C23 | — | 4 | 2 | no | — |
| 1029 | C23 | — | 4 | 2 | no | — |
| 1030 | C23 | — | 4 | 1 | no | — |
| 1031 | C23 | — | 4 | 1 | no | — |
| 1032 | C23 | — | 8 | 2 | no | — |
| 1033 | C23 | — | 8 | 2 | no | — |
| 1034 | C23 | — | 268 | 1 | no | — |
| 1035 | C23 | — | 268 | 2 | no | — |
| 1036 | C23 | — | 268 | 2 | no | — |
| 1037 | C23 | — | 268 | 2 | no | — |
| 1038 | C23 | — | 268 | 2 | no | — |
| 1039 | C23 | — | 268 | 4 | no | — |
| 1040 | C23 | — | 268 | 4 | no | — |
| 1041 | C23 | — | 268 | 1 | no | — |
| 1042 | C23 | — | 268 | 1 | no | — |
| 1043 | C23 | — | 536 | 8 | no | — |
| 1044 | C23 | — | 536 | 1 | no | — |
| 1045 | C23 | — | 536 | 8 | no | — |
| 1046 | C23 | — | 536 | 2 | no | — |
| 1047 | C23 | — | 536 | 2 | no | — |
| 1048 | C23 | — | 536 | 2 | no | — |
| 1049 | C23 | — | 536 | 2 | no | — |
| 1050 | C23 | — | 67 | 1 | no | — |
| 1051 | C23 | — | 67 | 1 | no | — |
| 1052 | C23 | — | 134 | 2 | no | — |
| 1053 | C23 | — | 134 | 2 | no | — |
| 1054 | C23 | — | 134 | 1 | no | — |
| 1055 | C23 | — | 134 | 1 | no | — |
| 1056 | C23 | — | 134 | 1 | no | — |
| 1057 | C23 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1058 | Q8 | — | 2 | 1 | no | — |
| 1059 | Q8 | — | 2 | 1 | no | — |
| 1060 | Q8 | — | 2 | 1 | no | — |
| 1061 | Q8 | — | 268 | 2 | no | — |
| 1062 | Q8 | — | 134 | 1 | no | — |
| 1063 | Q8 | — | 134 | 1 | no | — |
| 1064 | Q8 | #14524011 | 1 | 2 | yes | complemented |
| 1065 | D4 | — | 2 | 2 | no | — |
| 1066 | D4 | — | 2 | 2 | no | — |
| 1067 | D4 | — | 2 | 1 | no | — |
| 1068 | D4 | — | 2 | 1 | no | — |
| 1069 | D4 | — | 2 | 2 | no | — |
| 1070 | D4 | — | 2 | 2 | no | — |
| 1071 | D4 | — | 2 | 1 | no | — |
| 1072 | D4 | — | 4 | 4 | no | — |
| 1073 | D4 | — | 4 | 4 | no | — |
| 1074 | D4 | — | 4 | 1 | no | — |
| 1075 | D4 | — | 4 | 1 | no | — |
| 1076 | D4 | — | 4 | 1 | no | — |
| 1077 | D4 | — | 4 | 1 | no | — |
| 1078 | D4 | — | 4 | 1 | no | — |
| 1079 | D4 | — | 4 | 1 | no | — |
| 1080 | D4 | — | 4 | 1 | no | — |
| 1081 | D4 | — | 4 | 1 | no | — |
| 1082 | D4 | — | 8 | 8 | no | — |
| 1083 | D4 | — | 268 | 2 | no | — |
| 1084 | D4 | — | 268 | 2 | no | — |
| 1085 | D4 | — | 268 | 4 | no | — |
| 1086 | D4 | — | 268 | 2 | no | — |
| 1087 | D4 | — | 268 | 1 | no | — |
| 1088 | D4 | — | 268 | 1 | no | — |
| 1089 | D4 | — | 268 | 2 | no | — |
| 1090 | D4 | — | 268 | 4 | no | — |
| 1091 | D4 | — | 268 | 4 | no | — |
| 1092 | D4 | — | 268 | 1 | no | — |
| 1093 | D4 | — | 268 | 1 | no | — |
| 1094 | D4 | — | 536 | 2 | no | — |
| 1095 | D4 | — | 536 | 2 | no | — |
| 1096 | D4 | — | 536 | 2 | no | — |
| 1097 | D4 | — | 536 | 2 | no | — |
| 1098 | D4 | — | 536 | 1 | no | — |
| 1099 | D4 | — | 536 | 8 | no | — |
| 1100 | D4 | — | 134 | 2 | no | — |
| 1101 | D4 | — | 134 | 1 | no | — |
| 1102 | D4 | — | 134 | 2 | no | — |
| 1103 | D4 | — | 134 | 1 | no | — |
| 1104 | D4 | #14524011 | 1 | 2 | yes | complemented |
| 1105 | C2×C4 | — | 2 | 1 | no | — |
| 1106 | C2×C4 | — | 2 | 2 | no | — |
| 1107 | C2×C4 | — | 2 | 2 | no | — |
| 1108 | C2×C4 | — | 2 | 2 | no | — |
| 1109 | C2×C4 | — | 2 | 1 | no | — |
| 1110 | C2×C4 | — | 4 | 4 | no | — |
| 1111 | C2×C4 | — | 4 | 1 | no | — |
| 1112 | C2×C4 | — | 4 | 1 | no | — |
| 1113 | C2×C4 | — | 4 | 1 | no | — |
| 1114 | C2×C4 | — | 4 | 1 | no | — |
| 1115 | C2×C4 | — | 268 | 2 | no | — |
| 1116 | C2×C4 | — | 268 | 2 | no | — |
| 1117 | C2×C4 | — | 268 | 1 | no | — |
| 1118 | C2×C4 | — | 268 | 1 | no | — |
| 1119 | C2×C4 | — | 268 | 2 | no | — |
| 1120 | C2×C4 | — | 268 | 1 | no | — |
| 1121 | C2×C4 | — | 268 | 1 | no | — |
| 1122 | C2×C4 | — | 268 | 2 | no | — |
| 1123 | C2×C4 | — | 536 | 2 | no | — |
| 1124 | C2×C4 | — | 67 | 1 | no | — |
| 1125 | C2×C4 | — | 67 | 1 | no | — |
| 1126 | C2×C4 | — | 134 | 2 | no | — |
| 1127 | C2×C4 | — | 134 | 1 | no | — |
| 1128 | C2×C4 | — | 134 | 1 | no | — |
| 1129 | C2×C4 | — | 134 | 2 | no | — |
| 1130 | C2×C4 | — | 134 | 1 | no | — |
| 1131 | C2×C4 | — | 134 | 1 | no | — |
| 1132 | C2×C4 | — | 134 | 1 | no | — |
| 1133 | C2×C4 | — | 134 | 1 | no | — |
| 1134 | C2×C4 | — | 134 | 1 | no | — |
| 1135 | C2×C4 | — | 134 | 1 | no | — |
| 1136 | C2×C4 | — | 134 | 1 | no | — |
| 1137 | C2×C4 | — | 134 | 1 | no | — |
| 1138 | C2×C4 | — | 134 | 1 | no | — |
| 1139 | C2×C4 | — | 134 | 1 | no | — |
| 1140 | C2×C4 | — | 134 | 1 | no | — |
| 1141 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1142 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1143 | C2×C4 | C2×D4×D67 | 1 | 1 | yes | characteristic |
| 1144 | C2×C4 | C22×C22⋊D67 | 1 | 1 | yes | characteristic |
| 1145 | C2×C4 | #14524088 | 1 | 1 | yes | characteristic |
| 1146 | C2×C4 | #14524088 | 1 | 1 | yes | characteristic |
| 1147 | C8 | — | 2 | 2 | no | — |
| 1148 | C8 | — | 4 | 1 | no | — |
| 1149 | C8 | — | 268 | 1 | no | — |
| 1150 | C8 | — | 134 | 2 | no | — |
| 1151 | C22 | — | 2 | 1 | no | — |
| 1152 | C22 | — | 2 | 1 | no | — |
| 1153 | C22 | — | 2 | 2 | no | — |
| 1154 | C22 | — | 4 | 4 | no | — |
| 1155 | C22 | — | 4 | 1 | no | — |
| 1156 | C22 | — | 4 | 1 | no | — |
| 1157 | C22 | — | 4 | 2 | no | — |
| 1158 | C22 | — | 4 | 1 | no | — |
| 1159 | C22 | — | 4 | 2 | no | — |
| 1160 | C22 | — | 4 | 1 | no | — |
| 1161 | C22 | — | 4 | 1 | no | — |
| 1162 | C22 | — | 4 | 2 | no | — |
| 1163 | C22 | — | 4 | 2 | no | — |
| 1164 | C22 | — | 8 | 2 | no | — |
| 1165 | C22 | — | 8 | 2 | no | — |
| 1166 | C22 | — | 8 | 2 | no | — |
| 1167 | C22 | — | 8 | 1 | no | — |
| 1168 | C22 | — | 8 | 1 | no | — |
| 1169 | C22 | — | 268 | 2 | no | — |
| 1170 | C22 | — | 268 | 2 | no | — |
| 1171 | C22 | — | 268 | 4 | no | — |
| 1172 | C22 | — | 268 | 1 | no | — |
| 1173 | C22 | — | 268 | 1 | no | — |
| 1174 | C22 | — | 268 | 1 | no | — |
| 1175 | C22 | — | 268 | 2 | no | — |
| 1176 | C22 | — | 16 | 4 | no | — |
| 1177 | C22 | — | 536 | 2 | no | — |
| 1178 | C22 | — | 536 | 4 | no | — |
| 1179 | C22 | — | 536 | 8 | no | — |
| 1180 | C22 | — | 536 | 8 | no | — |
| 1181 | C22 | — | 536 | 1 | no | — |
| 1182 | C22 | — | 536 | 1 | no | — |
| 1183 | C22 | — | 67 | 2 | no | — |
| 1184 | C22 | — | 134 | 1 | no | — |
| 1185 | C22 | — | 134 | 1 | no | — |
| 1186 | C22 | — | 134 | 1 | no | — |
| 1187 | C22 | — | 134 | 1 | no | — |
| 1188 | C22 | — | 134 | 1 | no | — |
| 1189 | C22 | #120×D67 | 1 | 1 | yes | characteristic |
| 1190 | C22 | #16864028 | 1 | 1 | yes | characteristic |
| 1191 | C22 | D4×C22⋊D67 | 1 | 1 | yes | characteristic |
| 1192 | C4 | — | 2 | 2 | no | — |
| 1193 | C4 | — | 4 | 2 | no | — |
| 1194 | C4 | — | 4 | 1 | no | — |
| 1195 | C4 | — | 268 | 2 | no | — |
| 1196 | C4 | — | 268 | 2 | no | — |
| 1197 | C4 | — | 268 | 1 | no | — |
| 1198 | C4 | — | 268 | 1 | no | — |
| 1199 | C4 | — | 268 | 1 | no | — |
| 1200 | C4 | — | 134 | 1 | no | — |
| 1201 | C4 | — | 134 | 1 | no | — |
| 1202 | C4 | C2×#14524011 | 1 | 1 | yes | characteristic |
| 1203 | C4 | #16863956 | 1 | 1 | yes | characteristic |
| 1204 | C4 | #16864028 | 1 | 1 | yes | characteristic |
| 1205 | C4 | D4×C22⋊D67 | 1 | 1 | yes | characteristic |
| 1206 | C2 | — | 2 | 1 | no | — |
| 1207 | C2 | — | 2 | 1 | no | — |
| 1208 | C2 | — | 4 | 2 | no | — |
| 1209 | C2 | — | 8 | 2 | no | — |
| 1210 | C2 | — | 8 | 2 | no | — |
| 1211 | C2 | — | 8 | 1 | no | — |
| 1212 | C2 | — | 268 | 1 | no | — |
| 1213 | C2 | — | 536 | 2 | no | — |
| 1214 | C2 | — | 536 | 1 | no | — |
| 1215 | C2 | — | 134 | 2 | no | — |
| 1216 | C2 | #22563520 | 1 | 1 | yes | characteristic |
| 1217 | C2 | #453×D67 | 1 | 1 | yes | characteristic |
| 1218 | C2 | #22569577 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×AGL(1,ℤ/8)×D67 | C2 | semidirect |
| 2. #22573871 | C2 | semidirect |
| 3. C2×#16863564 | C2 | semidirect |
| 4. #22569434 | C2 | semidirect |
| 5. #22563843 | C2 | semidirect |
| 6. #22561252 | C2 | semidirect |
| 7. #22561249 | C2 | semidirect |
| 8. #22561226 | C2 | semidirect |
| 9. #22561224 | C2 | semidirect |
| 10. #22560669 | C2 | semidirect |
| 11. #22560587 | C2 | semidirect |
| 12. #22560583 | C2 | semidirect |
| 13. #22560508 | C2 | semidirect |
| 14. #22560151 | C2 | semidirect |
| 15. C2×#453×C67 | C2 | semidirect |
| 17. C22×D4×D67 | C22 | semidirect |
| 18. C2×#14524071 | C22 | semidirect |
| 20. C2×#14524069 | C22 | semidirect |
| 22. C2×#14524068 | C22 | semidirect |
| 28. C2×M16×D67 | C22 | semidirect |
| 36. #16863974 | C22 | semidirect |
| 38. #16863963 | C22 | semidirect |
| 39. C2×#14524039 | C22 | semidirect |
| 45. #16863879 | C22 | semidirect |
| 51. C2×#14523971 | C22 | semidirect |
| 52. C2×#14523970 | C22 | semidirect |
| 53. C2×#14523970 | C22 | semidirect |
| 54. C2×#14523969 | C22 | semidirect |
| 55. #16863402 | C22 | semidirect |
| 56. #16863401 | C22 | semidirect |
| 57. C2×#14523960 | C22 | semidirect |
| 58. #16863359 | C22 | semidirect |
| 60. #16863299 | C22 | semidirect |
| 61. #16863298 | C22 | semidirect |
| 62. C4×(C2×D67)⋊C4 | C22 | semidirect |
| 63. #16863164 | C22 | semidirect |
| 64. #16863164 | C22 | semidirect |
| 65. #16863157 | C22 | semidirect |
| 66. #16863156 | C22 | semidirect |
| 67. C2×H(5,𝔽2)×C67 | C22 | semidirect |
| 69. C2×AGL(1,ℤ/8)×C67 | C22 | semidirect |
| 70. C2×#127×C67 | C22 | semidirect |
| 72. C2×#104×C67 | C22 | semidirect |
| 73. C2×#104×C67 | C22 | semidirect |
| 74. C2×#100×C67 | C22 | semidirect |
| 76. C2×#11761629 | D4 | semidirect |
| 80. C2×#11761627 | D4 | semidirect |
| 85. C2×Q8×D67 | D4 | semidirect |
| 100. C2×D4×D67 | D4 | semidirect |
| 111. #14524068 | D4 | semidirect |
| 140. #14524019 | D4 | semidirect |
| 141. #14524019 | D4 | semidirect |
| 156. #14524014 | D4 | semidirect |
| 157. #14524014 | D4 | semidirect |
| 210. AGL(1,ℤ/8)×C67 | D4 | semidirect |
| 255. C2×D268 | C2×D4 | semidirect |
| 316. #11761612 | C2×D4 | semidirect |
| 391. C2×D4×C67 | C2×D4 | semidirect |
| 404. M16×C67 | C2×D4 | semidirect |
| 451. Q8×C67 | #120 | semidirect |
| 470. D4×C67 | #120 | semidirect |
| 581. C2×D67 | #453 | semidirect |
| 613. C2×#453 | D67 | semidirect |
| 625. C67 | #23876 | semidirect |
| 626. C2×H(5,𝔽2) | C2×D67 | semidirect |
| 638. C2×AGL(1,ℤ/8) | C2×D67 | semidirect |
| 653. C2×#127 | C2×D67 | semidirect |
| 670. C2×#104 | C2×D67 | semidirect |
| 671. C2×#104 | C2×D67 | semidirect |
| 675. C2×#100 | C2×D67 | semidirect |
| 740. AGL(1,ℤ/8) | C22⋊D67 | semidirect |
| 940. C2×D4 | C2×C22⋊D67 | semidirect |
| 984. M16 | C2×C22⋊D67 | semidirect |
| 1064. Q8 | #14524011 | semidirect |
| 1104. D4 | #14524011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×AGL(1,ℤ/8)×D67 | 2 |
| #22573871 | 2 |
| C2×#16863564 | 2 |
| #22569434 | 2 |
| #22563843 | 2 |
| #22561252 | 2 |
| #22561249 | 2 |
| #22561226 | 2 |
| #22561224 | 2 |
| #22560669 | 2 |
| #22560587 | 2 |
| #22560583 | 2 |
| #22560508 | 2 |
| #22560151 | 2 |
| C2×#453×C67 | 2 |
| #23876 | 67 |