Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
1180 conjugacy classes of subgroups.
The subgroup lattice has 800 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #575×D89 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #509×D89 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #469×D89 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #26022200 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #26022199 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #26022198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #26022197 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #26022196 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #360×D89 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #349×D89 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C89×#2190 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#41×D89 | — | 2 | 1 | no | — |
| 13 | #19152398 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #19152397 | — | 2 | 2 | no | — |
| 15 | #19152396 | — | 2 | 1 | no | — |
| 16 | #19152395 | — | 2 | 1 | no | — |
| 17 | #19152395 | C22 | 1 | 2 | yes | complemented |
| 18 | #19152394 | — | 2 | 2 | no | — |
| 19 | #137×D89 | — | 2 | 2 | no | — |
| 20 | AGL(1,ℤ/8)×D89 | — | 2 | 2 | no | — |
| 21 | #135×D89 | — | 2 | 1 | no | — |
| 22 | #135×D89 | C22 | 1 | 2 | yes | — |
| 23 | C2×D8×D89 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×M16×D89 | C22 | 1 | 1 | yes | characteristic |
| 25 | #121×D89 | — | 2 | 1 | no | — |
| 26 | #19152036 | C22 | 1 | 2 | yes | complemented |
| 27 | #19152035 | — | 2 | 2 | no | — |
| 28 | #19152034 | C22 | 1 | 2 | yes | complemented |
| 29 | #19152033 | C22 | 1 | 2 | yes | complemented |
| 30 | #19152032 | — | 2 | 2 | no | — |
| 31 | SD32×D89 | — | 2 | 2 | no | — |
| 32 | D16×D89 | — | 2 | 2 | no | — |
| 33 | M32×D89 | C22 | 1 | 2 | yes | complemented |
| 34 | #19151852 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #19151851 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #19151850 | — | 2 | 1 | no | — |
| 37 | #19151849 | — | 2 | 1 | no | — |
| 38 | #19151848 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #106×D89 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #102×D89 | — | 2 | 1 | no | — |
| 41 | #19151409 | C22 | 1 | 2 | yes | complemented |
| 42 | #19151408 | C22 | 1 | 2 | yes | complemented |
| 43 | #19151407 | C22 | 1 | 2 | yes | complemented |
| 44 | #19151380 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #19151379 | C22 | 1 | 2 | yes | complemented |
| 46 | #575×C89 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #509×C89 | C22 | 1 | 2 | yes | complemented |
| 48 | #469×C89 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #360×C89 | C22 | 1 | 2 | yes | complemented |
| 50 | #349×C89 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#13083575 | — | 2 | 1 | no | — |
| 52 | C2×#13083574 | — | 2 | 1 | no | — |
| 53 | C2×#13083574 | — | 4 | 1 | no | — |
| 54 | C2×#13083573 | — | 2 | 1 | no | — |
| 55 | C2×#13083573 | — | 4 | 1 | no | — |
| 56 | #41×D89 | — | 2 | 2 | no | — |
| 57 | #41×D89 | — | 2 | 2 | no | — |
| 58 | #41×D89 | — | 2 | 2 | no | — |
| 59 | #41×D89 | — | 2 | 2 | no | — |
| 60 | #41×D89 | — | 4 | 1 | no | — |
| 61 | #41×D89 | — | 4 | 1 | no | — |
| 62 | #41×D89 | — | 4 | 1 | no | — |
| 63 | #41×D89 | — | 4 | 1 | no | — |
| 64 | C2×Q8×D89 | — | 2 | 1 | no | — |
| 65 | C2×D4×D89 | — | 2 | 1 | no | — |
| 66 | C2×D4×D89 | — | 2 | 1 | no | — |
| 67 | C2×D4×D89 | — | 4 | 1 | no | — |
| 68 | C2×D4×D89 | — | 4 | 1 | no | — |
| 69 | C22×C4×D89 | — | 4 | 1 | no | — |
| 70 | C22×C4×D89 | D4 | 1 | 1 | yes | characteristic |
| 71 | #15668045 | — | 2 | 2 | no | — |
| 72 | #15668044 | — | 2 | 2 | no | — |
| 73 | #15668044 | — | 2 | 2 | no | — |
| 74 | #15668043 | — | 2 | 2 | no | — |
| 75 | #15668042 | — | 2 | 2 | no | — |
| 76 | #15668041 | — | 2 | 2 | no | — |
| 77 | #15668041 | — | 2 | 2 | no | — |
| 78 | #15668040 | — | 2 | 2 | no | — |
| 79 | #15668039 | — | 2 | 2 | no | — |
| 80 | #15668039 | — | 2 | 2 | no | — |
| 81 | #15668038 | — | 2 | 2 | no | — |
| 82 | #15668037 | — | 2 | 2 | no | — |
| 83 | #15668036 | — | 2 | 2 | no | — |
| 84 | #15668036 | — | 2 | 2 | no | — |
| 85 | #15668035 | — | 2 | 1 | no | — |
| 86 | #15668035 | D4 | 1 | 2 | yes | complemented |
| 87 | #15668034 | — | 2 | 1 | no | — |
| 88 | #15668034 | C23 | 1 | 2 | yes | — |
| 89 | #15668033 | — | 2 | 2 | no | — |
| 90 | #15668033 | — | 2 | 2 | no | — |
| 91 | #15668032 | — | 2 | 2 | no | — |
| 92 | #15668032 | — | 2 | 2 | no | — |
| 93 | #15668031 | — | 2 | 1 | no | — |
| 94 | #15668031 | D4 | 1 | 2 | yes | complemented |
| 95 | Q16×D89 | — | 2 | 1 | no | — |
| 96 | Q16×D89 | D4 | 1 | 2 | yes | complemented |
| 97 | SD16×D89 | — | 2 | 2 | no | — |
| 98 | SD16×D89 | — | 2 | 2 | no | — |
| 99 | C2×D712 | C23 | 1 | 1 | yes | characteristic, complemented |
| 100 | C2×#13083559 | — | 2 | 1 | no | — |
| 101 | D8×D89 | — | 2 | 1 | no | — |
| 102 | D8×D89 | — | 2 | 2 | no | — |
| 103 | D8×D89 | — | 2 | 2 | no | — |
| 104 | D8×D89 | D4 | 1 | 2 | yes | complemented |
| 105 | C2×#13083558 | D4 | 1 | 1 | yes | characteristic |
| 106 | C2×#13083557 | D4 | 1 | 1 | yes | characteristic |
| 107 | C2×#13083557 | C23 | 1 | 1 | yes | characteristic |
| 108 | M16×D89 | — | 2 | 2 | no | — |
| 109 | M16×D89 | — | 2 | 2 | no | — |
| 110 | C2×C8×D89 | D4 | 1 | 1 | yes | characteristic |
| 111 | C2×C8×D89 | C23 | 1 | 1 | yes | characteristic |
| 112 | #15667987 | — | 2 | 1 | no | — |
| 113 | #15667986 | — | 2 | 1 | no | — |
| 114 | #15667985 | — | 4 | 1 | no | — |
| 115 | #15667984 | — | 4 | 1 | no | — |
| 116 | #15667983 | — | 2 | 1 | no | — |
| 117 | C4⋊C4×D89 | — | 2 | 1 | no | — |
| 118 | C22⋊C4×D89 | — | 4 | 1 | no | — |
| 119 | #15667957 | — | 2 | 2 | no | — |
| 120 | #15667956 | — | 2 | 2 | no | — |
| 121 | #15667955 | — | 2 | 2 | no | — |
| 122 | D1424 | — | 2 | 2 | no | — |
| 123 | #15667953 | — | 2 | 2 | no | — |
| 124 | #15667953 | — | 2 | 2 | no | — |
| 125 | #15667952 | C23 | 1 | 2 | yes | complemented |
| 126 | #15667951 | — | 2 | 2 | no | — |
| 127 | C16×D89 | — | 2 | 2 | no | — |
| 128 | #15667944 | C23 | 1 | 1 | yes | characteristic, complemented |
| 129 | #15667943 | — | 2 | 1 | no | — |
| 130 | #15667934 | — | 2 | 1 | no | — |
| 131 | #15667933 | — | 2 | 1 | no | — |
| 132 | #15667932 | — | 2 | 1 | no | — |
| 133 | C2×#41×C89 | — | 2 | 1 | no | — |
| 134 | #137×C89 | — | 2 | 2 | no | — |
| 135 | AGL(1,ℤ/8)×C89 | — | 2 | 2 | no | — |
| 136 | #135×C89 | — | 2 | 1 | no | — |
| 137 | #135×C89 | C23 | 1 | 2 | yes | — |
| 138 | C2×D8×C89 | C23 | 1 | 1 | yes | characteristic, complemented |
| 139 | C2×M16×C89 | C23 | 1 | 1 | yes | characteristic |
| 140 | #121×C89 | — | 2 | 1 | no | — |
| 141 | SD32×C89 | — | 2 | 2 | no | — |
| 142 | D16×C89 | — | 2 | 2 | no | — |
| 143 | M32×C89 | C23 | 1 | 2 | yes | complemented |
| 144 | #106×C89 | C23 | 1 | 1 | yes | characteristic, complemented |
| 145 | #102×C89 | — | 2 | 1 | no | — |
| 146 | C23×D89 | — | 4 | 1 | no | — |
| 147 | C23×D89 | — | 4 | 1 | no | — |
| 148 | C23×D89 | D8 | 1 | 1 | yes | characteristic |
| 149 | #13083575 | — | 2 | 2 | no | — |
| 150 | #13083575 | — | 2 | 2 | no | — |
| 151 | #13083575 | — | 4 | 1 | no | — |
| 152 | #13083575 | — | 4 | 1 | no | — |
| 153 | #13083574 | — | 2 | 2 | no | — |
| 154 | #13083574 | — | 2 | 2 | no | — |
| 155 | #13083574 | — | 4 | 2 | no | — |
| 156 | #13083574 | — | 4 | 2 | no | — |
| 157 | #13083574 | — | 4 | 2 | no | — |
| 158 | #13083574 | — | 4 | 1 | no | — |
| 159 | #13083574 | — | 4 | 1 | no | — |
| 160 | #13083574 | — | 4 | 2 | no | — |
| 161 | #13083573 | — | 2 | 2 | no | — |
| 162 | #13083573 | — | 2 | 2 | no | — |
| 163 | #13083573 | — | 4 | 1 | no | — |
| 164 | #13083573 | — | 4 | 1 | no | — |
| 165 | #13083573 | — | 4 | 2 | no | — |
| 166 | #13083573 | — | 4 | 2 | no | — |
| 167 | #13083573 | — | 4 | 2 | no | — |
| 168 | #13083573 | — | 4 | 2 | no | — |
| 169 | C2×Dic178 | — | 2 | 1 | no | — |
| 170 | C2×Dic178 | — | 4 | 1 | no | — |
| 171 | Q8×D89 | — | 2 | 2 | no | — |
| 172 | Q8×D89 | — | 2 | 2 | no | — |
| 173 | Q8×D89 | — | 4 | 1 | no | — |
| 174 | Q8×D89 | — | 4 | 1 | no | — |
| 175 | C2×D356 | — | 2 | 1 | no | — |
| 176 | C2×D356 | — | 2 | 1 | no | — |
| 177 | C2×D356 | — | 4 | 1 | no | — |
| 178 | C2×D356 | — | 4 | 1 | no | — |
| 179 | C2×C22⋊D89 | — | 4 | 1 | no | — |
| 180 | C2×C22⋊D89 | — | 4 | 1 | no | — |
| 181 | C2×C22⋊D89 | — | 4 | 1 | no | — |
| 182 | C2×C22⋊D89 | — | 4 | 1 | no | — |
| 183 | C2×C22⋊D89 | — | 4 | 1 | no | — |
| 184 | C2×C22⋊D89 | — | 4 | 1 | no | — |
| 185 | D4×D89 | — | 2 | 2 | no | — |
| 186 | D4×D89 | — | 2 | 2 | no | — |
| 187 | D4×D89 | — | 4 | 1 | no | — |
| 188 | D4×D89 | — | 4 | 1 | no | — |
| 189 | D4×D89 | — | 4 | 2 | no | — |
| 190 | D4×D89 | — | 4 | 2 | no | — |
| 191 | D4×D89 | — | 4 | 2 | no | — |
| 192 | D4×D89 | — | 4 | 2 | no | — |
| 193 | D4×D89 | — | 4 | 1 | no | — |
| 194 | D4×D89 | — | 4 | 1 | no | — |
| 195 | D4×D89 | — | 4 | 1 | no | — |
| 196 | D4×D89 | — | 4 | 1 | no | — |
| 197 | D4×D89 | — | 8 | 4 | no | — |
| 198 | C22×Dic89 | — | 4 | 1 | no | — |
| 199 | C22×Dic89 | D8 | 1 | 1 | yes | characteristic |
| 200 | C2×C4×D89 | — | 2 | 1 | no | — |
| 201 | C2×C4×D89 | — | 2 | 1 | no | — |
| 202 | C2×C4×D89 | — | 2 | 1 | no | — |
| 203 | C2×C4×D89 | — | 2 | 1 | no | — |
| 204 | C2×C4×D89 | — | 4 | 2 | no | — |
| 205 | C2×C4×D89 | — | 4 | 2 | no | — |
| 206 | C2×C4×D89 | — | 4 | 2 | no | — |
| 207 | C2×C4×D89 | — | 4 | 1 | no | — |
| 208 | C2×C4×D89 | — | 4 | 1 | no | — |
| 209 | C2×C4×D89 | — | 4 | 1 | no | — |
| 210 | C2×C4×D89 | — | 4 | 2 | no | — |
| 211 | C2×C4×D89 | — | 4 | 1 | no | — |
| 212 | C2×C4×D89 | D8 | 1 | 1 | yes | characteristic |
| 213 | C2×C4×D89 | D8 | 1 | 1 | yes | characteristic |
| 214 | C2×C4×D89 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C2×C4×D89 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | Dic356 | — | 2 | 1 | no | — |
| 217 | Dic356 | C2×D4 | 1 | 2 | yes | complemented |
| 218 | #13083564 | — | 2 | 2 | no | — |
| 219 | #13083564 | — | 2 | 2 | no | — |
| 220 | #13083563 | — | 2 | 2 | no | — |
| 221 | #13083563 | — | 2 | 2 | no | — |
| 222 | #13083562 | — | 2 | 2 | no | — |
| 223 | #13083562 | — | 2 | 2 | no | — |
| 224 | #13083561 | — | 2 | 2 | no | — |
| 225 | #13083561 | — | 2 | 2 | no | — |
| 226 | D712 | — | 2 | 1 | no | — |
| 227 | D712 | — | 2 | 2 | no | — |
| 228 | D712 | C2×D4 | 1 | 2 | yes | complemented |
| 229 | #13083559 | — | 2 | 2 | no | — |
| 230 | #13083559 | — | 2 | 2 | no | — |
| 231 | #13083559 | — | 4 | 2 | no | — |
| 232 | #13083558 | — | 2 | 2 | no | — |
| 233 | #13083557 | — | 2 | 2 | no | — |
| 234 | #13083557 | — | 2 | 2 | no | — |
| 235 | C2×#10623494 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C2×#10623494 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | C8×D89 | — | 2 | 1 | no | — |
| 238 | C8×D89 | — | 2 | 1 | no | — |
| 239 | C8×D89 | C2×D4 | 1 | 2 | yes | — |
| 240 | C8×D89 | C2×D4 | 1 | 2 | yes | — |
| 241 | C4⋊Dic89 | — | 2 | 1 | no | — |
| 242 | #13083553 | — | 4 | 1 | no | — |
| 243 | C22⋊Dic89 | — | 4 | 1 | no | — |
| 244 | #13083551 | — | 4 | 1 | no | — |
| 245 | #13083551 | — | 4 | 1 | no | — |
| 246 | #13083549 | — | 2 | 2 | no | — |
| 247 | #41×C89 | — | 2 | 2 | no | — |
| 248 | #41×C89 | — | 2 | 2 | no | — |
| 249 | #41×C89 | — | 4 | 1 | no | — |
| 250 | #41×C89 | — | 4 | 1 | no | — |
| 251 | C2×Q8×C89 | — | 2 | 1 | no | — |
| 252 | C2×D4×C89 | — | 2 | 1 | no | — |
| 253 | C2×D4×C89 | — | 2 | 1 | no | — |
| 254 | C2×D4×C89 | — | 4 | 1 | no | — |
| 255 | C2×D4×C89 | — | 4 | 1 | no | — |
| 256 | C22×C4×C89 | — | 4 | 1 | no | — |
| 257 | C22×C4×C89 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | Q16×C89 | — | 2 | 1 | no | — |
| 259 | Q16×C89 | C2×D4 | 1 | 2 | yes | complemented |
| 260 | SD16×C89 | — | 2 | 2 | no | — |
| 261 | SD16×C89 | — | 2 | 2 | no | — |
| 262 | D8×C89 | — | 2 | 1 | no | — |
| 263 | D8×C89 | — | 2 | 2 | no | — |
| 264 | D8×C89 | C2×D4 | 1 | 2 | yes | complemented |
| 265 | M16×C89 | — | 2 | 2 | no | — |
| 266 | C2×C8×C89 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C2×C8×C89 | C24 | 1 | 1 | yes | characteristic |
| 268 | C4⋊C4×C89 | — | 2 | 1 | no | — |
| 269 | C22⋊C4×C89 | — | 4 | 1 | no | — |
| 270 | C16×C89 | — | 2 | 2 | no | — |
| 271 | C23×C89 | — | 4 | 1 | no | — |
| 272 | C23×C89 | — | 4 | 1 | no | — |
| 273 | C23×C89 | C2×D8 | 1 | 1 | yes | characteristic |
| 274 | C22×D89 | — | 2 | 1 | no | — |
| 275 | C22×D89 | — | 2 | 1 | no | — |
| 276 | C22×D89 | — | 4 | 2 | no | — |
| 277 | C22×D89 | — | 4 | 2 | no | — |
| 278 | C22×D89 | — | 4 | 1 | no | — |
| 279 | C22×D89 | — | 4 | 2 | no | — |
| 280 | C22×D89 | — | 4 | 1 | no | — |
| 281 | C22×D89 | — | 8 | 2 | no | — |
| 282 | C22×D89 | — | 8 | 2 | no | — |
| 283 | C22×D89 | — | 8 | 4 | no | — |
| 284 | C22×D89 | — | 8 | 1 | no | — |
| 285 | C22×D89 | — | 8 | 1 | no | — |
| 286 | C22×D89 | C2×D8 | 1 | 1 | yes | characteristic |
| 287 | C22×D89 | C2×D8 | 1 | 1 | yes | characteristic |
| 288 | Q8×C89 | — | 2 | 2 | no | — |
| 289 | Q8×C89 | — | 4 | 1 | no | — |
| 290 | D4×C89 | — | 2 | 2 | no | — |
| 291 | D4×C89 | — | 4 | 1 | no | — |
| 292 | D4×C89 | — | 4 | 2 | no | — |
| 293 | D4×C89 | — | 4 | 2 | no | — |
| 294 | D4×C89 | — | 4 | 1 | no | — |
| 295 | D4×C89 | — | 4 | 1 | no | — |
| 296 | D4×C89 | — | 8 | 2 | no | — |
| 297 | C2×C4×C89 | — | 2 | 1 | no | — |
| 298 | C2×C4×C89 | — | 2 | 1 | no | — |
| 299 | C2×C4×C89 | — | 4 | 2 | no | — |
| 300 | C2×C4×C89 | — | 4 | 1 | no | — |
| 301 | C2×C4×C89 | — | 4 | 2 | no | — |
| 302 | C2×C4×C89 | — | 4 | 1 | no | — |
| 303 | C2×C4×C89 | C2×D8 | 1 | 1 | yes | characteristic |
| 304 | C2×C4×C89 | C22×D4 | 1 | 1 | yes | characteristic |
| 305 | C22⋊D89 | — | 4 | 2 | no | — |
| 306 | C22⋊D89 | — | 4 | 2 | no | — |
| 307 | C22⋊D89 | — | 4 | 2 | no | — |
| 308 | C22⋊D89 | — | 4 | 2 | no | — |
| 309 | C22⋊D89 | — | 4 | 2 | no | — |
| 310 | C22⋊D89 | — | 4 | 2 | no | — |
| 311 | C22⋊D89 | — | 8 | 2 | no | — |
| 312 | C22⋊D89 | — | 8 | 2 | no | — |
| 313 | C22⋊D89 | — | 8 | 1 | no | — |
| 314 | C22⋊D89 | — | 8 | 1 | no | — |
| 315 | C2×Dic89 | — | 2 | 1 | no | — |
| 316 | C2×Dic89 | — | 2 | 1 | no | — |
| 317 | C2×Dic89 | — | 4 | 2 | no | — |
| 318 | C2×Dic89 | — | 4 | 1 | no | — |
| 319 | C2×Dic89 | — | 4 | 2 | no | — |
| 320 | C2×Dic89 | — | 4 | 1 | no | — |
| 321 | C2×Dic89 | C2×D8 | 1 | 1 | yes | characteristic |
| 322 | C2×Dic89 | C2×D8 | 1 | 1 | yes | characteristic |
| 323 | D356 | — | 2 | 2 | no | — |
| 324 | D356 | — | 4 | 1 | no | — |
| 325 | D356 | — | 4 | 2 | no | — |
| 326 | D356 | — | 4 | 2 | no | — |
| 327 | D356 | — | 4 | 1 | no | — |
| 328 | D356 | — | 4 | 1 | no | — |
| 329 | D356 | — | 8 | 2 | no | — |
| 330 | C4×D89 | — | 2 | 1 | no | — |
| 331 | C4×D89 | — | 2 | 1 | no | — |
| 332 | C4×D89 | — | 2 | 1 | no | — |
| 333 | C4×D89 | — | 2 | 1 | no | — |
| 334 | C4×D89 | — | 2 | 1 | no | — |
| 335 | C4×D89 | — | 2 | 1 | no | — |
| 336 | C4×D89 | — | 4 | 2 | no | — |
| 337 | C4×D89 | — | 4 | 2 | no | — |
| 338 | C4×D89 | — | 4 | 2 | no | — |
| 339 | C4×D89 | — | 4 | 2 | no | — |
| 340 | C4×D89 | — | 4 | 2 | no | — |
| 341 | C4×D89 | — | 4 | 2 | no | — |
| 342 | C4×D89 | — | 8 | 2 | no | — |
| 343 | C4×D89 | #120 | 1 | 1 | yes | characteristic |
| 344 | C4×D89 | #120 | 1 | 1 | yes | characteristic |
| 345 | C4×D89 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 346 | C4×D89 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 347 | Dic178 | — | 2 | 2 | no | — |
| 348 | Dic178 | — | 4 | 2 | no | — |
| 349 | Dic178 | — | 4 | 1 | no | — |
| 350 | Dic178 | — | 4 | 2 | no | — |
| 351 | C8×C89 | — | 2 | 1 | no | — |
| 352 | C8×C89 | C22×D4 | 1 | 2 | yes | — |
| 353 | #10623494 | — | 2 | 1 | no | — |
| 354 | #10623494 | #120 | 1 | 2 | yes | — |
| 355 | C22×C89 | — | 2 | 1 | no | — |
| 356 | C22×C89 | — | 4 | 1 | no | — |
| 357 | C22×C89 | — | 4 | 2 | no | — |
| 358 | C22×C89 | — | 8 | 1 | no | — |
| 359 | C22×C89 | — | 8 | 1 | no | — |
| 360 | C22×C89 | — | 8 | 2 | no | — |
| 361 | C22×C89 | — | 8 | 1 | no | — |
| 362 | C22×C89 | C22×D8 | 1 | 1 | yes | characteristic |
| 363 | C2×D89 | — | 2 | 2 | no | — |
| 364 | C2×D89 | — | 2 | 1 | no | — |
| 365 | C2×D89 | — | 4 | 2 | no | — |
| 366 | C2×D89 | — | 4 | 1 | no | — |
| 367 | C2×D89 | — | 4 | 2 | no | — |
| 368 | C2×D89 | — | 8 | 1 | no | — |
| 369 | C2×D89 | — | 8 | 4 | no | — |
| 370 | C2×D89 | — | 8 | 2 | no | — |
| 371 | C2×D89 | — | 8 | 4 | no | — |
| 372 | C2×D89 | — | 8 | 1 | no | — |
| 373 | C2×D89 | — | 8 | 1 | no | — |
| 374 | C2×D89 | — | 8 | 1 | no | — |
| 375 | C2×D89 | — | 16 | 2 | no | — |
| 376 | C2×D89 | — | 16 | 2 | no | — |
| 377 | C2×D89 | #447 | 1 | 1 | yes | characteristic |
| 378 | C2×D89 | #447 | 1 | 1 | yes | characteristic |
| 379 | C4×C89 | — | 2 | 1 | no | — |
| 380 | C4×C89 | — | 4 | 2 | no | — |
| 381 | C4×C89 | — | 8 | 1 | no | — |
| 382 | C4×C89 | C2×#120 | 1 | 1 | yes | characteristic |
| 383 | C4×C89 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 384 | Dic89 | — | 2 | 1 | no | — |
| 385 | Dic89 | — | 4 | 2 | no | — |
| 386 | Dic89 | — | 8 | 1 | no | — |
| 387 | Dic89 | #447 | 1 | 1 | yes | characteristic |
| 388 | Dic89 | #447 | 1 | 1 | yes | characteristic |
| 389 | C2×#2190 | — | 89 | 1 | no | maximal, Sylow |
| 390 | C2×C89 | — | 2 | 1 | no | — |
| 391 | C2×C89 | — | 4 | 1 | no | — |
| 392 | C2×C89 | — | 8 | 2 | no | — |
| 393 | C2×C89 | — | 16 | 1 | no | — |
| 394 | C2×C89 | C2×#447 | 1 | 1 | yes | characteristic |
| 395 | D89 | — | 2 | 1 | no | — |
| 396 | D89 | — | 4 | 1 | no | — |
| 397 | D89 | — | 8 | 2 | no | — |
| 398 | D89 | — | 16 | 1 | no | — |
| 399 | D89 | #2190 | 1 | 2 | yes | direct product factor |
| 400 | C2×#575 | — | 89 | 1 | no | — |
| 401 | C2×#509 | — | 89 | 2 | no | — |
| 402 | C2×#469 | — | 89 | 1 | no | — |
| 403 | #2190 | — | 89 | 2 | no | — |
| 404 | #2190 | — | 89 | 1 | no | — |
| 405 | #2190 | — | 89 | 2 | no | — |
| 406 | #2190 | — | 89 | 1 | no | — |
| 407 | #2190 | — | 89 | 1 | no | — |
| 408 | #2190 | D89 | 1 | 1 | yes | characteristic, direct product factor |
| 409 | C2×#360 | — | 89 | 2 | no | — |
| 410 | C2×#349 | — | 89 | 1 | no | — |
| 411 | C89 | C2×#2190 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 412 | C22×#41 | — | 178 | 1 | no | — |
| 413 | #575 | — | 89 | 2 | no | — |
| 414 | #575 | — | 89 | 1 | no | — |
| 415 | #575 | — | 178 | 1 | no | — |
| 416 | #575 | — | 178 | 1 | no | — |
| 417 | #575 | — | 178 | 2 | no | — |
| 418 | #575 | — | 178 | 2 | no | — |
| 419 | #575 | C2×D89 | 1 | 1 | yes | characteristic, complemented |
| 420 | C2×#137 | — | 178 | 2 | no | — |
| 421 | C2×AGL(1,ℤ/8) | — | 178 | 2 | no | — |
| 422 | C2×#135 | — | 89 | 2 | no | — |
| 423 | C2×#135 | — | 178 | 1 | no | — |
| 424 | C22×D8 | — | 89 | 1 | no | — |
| 425 | C22×M16 | — | 89 | 1 | no | — |
| 426 | C2×#121 | — | 178 | 1 | no | — |
| 427 | #509 | — | 89 | 2 | no | — |
| 428 | #509 | — | 89 | 2 | no | — |
| 429 | #509 | — | 89 | 2 | no | — |
| 430 | #509 | — | 178 | 2 | no | — |
| 431 | #509 | — | 178 | 2 | no | — |
| 432 | #509 | C2×D89 | 1 | 2 | yes | complemented |
| 433 | C2×SD32 | — | 178 | 2 | no | — |
| 434 | C2×D16 | — | 178 | 2 | no | — |
| 435 | C2×M32 | — | 89 | 2 | no | — |
| 436 | #469 | — | 89 | 1 | no | — |
| 437 | #469 | — | 89 | 1 | no | — |
| 438 | #469 | — | 89 | 1 | no | — |
| 439 | #469 | — | 178 | 1 | no | — |
| 440 | #469 | — | 178 | 1 | no | — |
| 441 | #469 | C2×D89 | 1 | 1 | yes | characteristic, complemented |
| 442 | C2×#106 | — | 89 | 1 | no | — |
| 443 | C2×#102 | — | 178 | 1 | no | — |
| 444 | #360 | — | 89 | 2 | no | — |
| 445 | #360 | — | 89 | 2 | no | — |
| 446 | #360 | — | 89 | 2 | no | — |
| 447 | #360 | C2×D89 | 1 | 2 | yes | complemented |
| 448 | #349 | — | 89 | 1 | no | — |
| 449 | #349 | — | 89 | 2 | no | — |
| 450 | #349 | C2×D89 | 1 | 1 | yes | characteristic, complemented |
| 451 | C2×#41 | — | 2 | 1 | no | — |
| 452 | C2×#41 | — | 356 | 1 | no | — |
| 453 | C2×#41 | — | 356 | 1 | no | — |
| 454 | C2×#41 | — | 356 | 1 | no | — |
| 455 | C2×#41 | — | 356 | 1 | no | — |
| 456 | C2×#41 | — | 356 | 1 | no | — |
| 457 | C2×#41 | — | 356 | 1 | no | — |
| 458 | C2×#41 | — | 178 | 2 | no | — |
| 459 | C2×#41 | — | 178 | 2 | no | — |
| 460 | C2×#41 | — | 178 | 1 | no | — |
| 461 | C2×#41 | — | 178 | 1 | no | — |
| 462 | C2×#41 | — | 178 | 2 | no | — |
| 463 | C2×#41 | — | 178 | 2 | no | — |
| 464 | C2×#41 | — | 178 | 1 | no | — |
| 465 | C22×Q8 | — | 178 | 1 | no | — |
| 466 | C22×D4 | — | 356 | 1 | no | — |
| 467 | C22×D4 | — | 356 | 1 | no | — |
| 468 | C22×D4 | — | 178 | 1 | no | — |
| 469 | C22×D4 | — | 178 | 1 | no | — |
| 470 | C23×C4 | — | 89 | 1 | no | — |
| 471 | C23×C4 | — | 356 | 1 | no | — |
| 472 | #137 | — | 2 | 2 | no | — |
| 473 | #137 | — | 178 | 2 | no | — |
| 474 | #137 | — | 178 | 2 | no | — |
| 475 | #137 | — | 178 | 2 | no | — |
| 476 | #137 | — | 178 | 2 | no | — |
| 477 | #137 | — | 178 | 2 | no | — |
| 478 | #137 | — | 178 | 2 | no | — |
| 479 | #137 | — | 178 | 2 | no | — |
| 480 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 481 | AGL(1,ℤ/8) | — | 178 | 2 | no | — |
| 482 | AGL(1,ℤ/8) | — | 178 | 2 | no | — |
| 483 | AGL(1,ℤ/8) | — | 178 | 2 | no | — |
| 484 | AGL(1,ℤ/8) | — | 178 | 2 | no | — |
| 485 | AGL(1,ℤ/8) | — | 178 | 2 | no | — |
| 486 | AGL(1,ℤ/8) | — | 178 | 2 | no | — |
| 487 | AGL(1,ℤ/8) | — | 178 | 2 | no | — |
| 488 | #135 | — | 2 | 1 | no | — |
| 489 | #135 | — | 89 | 2 | no | — |
| 490 | #135 | — | 89 | 2 | no | — |
| 491 | #135 | — | 89 | 2 | no | — |
| 492 | #135 | — | 178 | 2 | no | — |
| 493 | #135 | — | 178 | 2 | no | — |
| 494 | #135 | — | 178 | 2 | no | — |
| 495 | #135 | — | 178 | 1 | no | — |
| 496 | #135 | — | 178 | 2 | no | — |
| 497 | #135 | — | 178 | 1 | no | — |
| 498 | #135 | — | 178 | 1 | no | — |
| 499 | #135 | C22×D89 | 1 | 2 | yes | — |
| 500 | C2×Q16 | — | 89 | 2 | no | — |
| 501 | C2×Q16 | — | 178 | 1 | no | — |
| 502 | C2×SD16 | — | 178 | 2 | no | — |
| 503 | C2×SD16 | — | 178 | 2 | no | — |
| 504 | C2×D8 | — | 89 | 2 | no | — |
| 505 | C2×D8 | — | 89 | 1 | no | — |
| 506 | C2×D8 | — | 178 | 2 | no | — |
| 507 | C2×D8 | — | 178 | 2 | no | — |
| 508 | C2×D8 | — | 178 | 1 | no | — |
| 509 | C2×D8 | — | 178 | 1 | no | — |
| 510 | C2×D8 | C22×D89 | 1 | 1 | yes | characteristic, complemented |
| 511 | C2×M16 | — | 89 | 1 | no | — |
| 512 | C2×M16 | — | 89 | 1 | no | — |
| 513 | C2×M16 | — | 89 | 1 | no | — |
| 514 | C2×M16 | — | 178 | 2 | no | — |
| 515 | C2×M16 | — | 178 | 2 | no | — |
| 516 | C2×M16 | C22×D89 | 1 | 1 | yes | characteristic |
| 517 | C22×C8 | — | 89 | 1 | no | — |
| 518 | C22×C8 | — | 89 | 1 | no | — |
| 519 | #121 | — | 2 | 1 | no | — |
| 520 | #121 | — | 356 | 1 | no | — |
| 521 | #121 | — | 356 | 1 | no | — |
| 522 | #121 | — | 178 | 1 | no | — |
| 523 | #121 | — | 178 | 1 | no | — |
| 524 | #121 | — | 178 | 1 | no | — |
| 525 | C2×C4⋊C4 | — | 178 | 1 | no | — |
| 526 | C2×C22⋊C4 | — | 356 | 1 | no | — |
| 527 | SD32 | — | 2 | 2 | no | — |
| 528 | SD32 | — | 178 | 2 | no | — |
| 529 | SD32 | — | 178 | 2 | no | — |
| 530 | SD32 | — | 178 | 2 | no | — |
| 531 | D16 | — | 2 | 2 | no | — |
| 532 | D16 | — | 178 | 2 | no | — |
| 533 | D16 | — | 178 | 2 | no | — |
| 534 | D16 | — | 178 | 2 | no | — |
| 535 | M32 | — | 89 | 2 | no | — |
| 536 | M32 | — | 178 | 2 | no | — |
| 537 | M32 | C22×D89 | 1 | 2 | yes | complemented |
| 538 | C2×C16 | — | 178 | 2 | no | — |
| 539 | #106 | — | 89 | 1 | no | — |
| 540 | #106 | — | 178 | 1 | no | — |
| 541 | #106 | C22×D89 | 1 | 1 | yes | characteristic, complemented |
| 542 | #102 | — | 2 | 1 | no | — |
| 543 | #102 | — | 178 | 1 | no | — |
| 544 | #102 | — | 178 | 1 | no | — |
| 545 | #102 | — | 178 | 1 | no | — |
| 546 | C24 | — | 89 | 1 | no | — |
| 547 | C24 | — | 356 | 1 | no | — |
| 548 | C24 | — | 356 | 1 | no | — |
| 549 | #41 | — | 2 | 2 | no | — |
| 550 | #41 | — | 2 | 2 | no | — |
| 551 | #41 | — | 4 | 1 | no | — |
| 552 | #41 | — | 4 | 1 | no | — |
| 553 | #41 | — | 356 | 1 | no | — |
| 554 | #41 | — | 356 | 2 | no | — |
| 555 | #41 | — | 356 | 2 | no | — |
| 556 | #41 | — | 356 | 2 | no | — |
| 557 | #41 | — | 356 | 2 | no | — |
| 558 | #41 | — | 356 | 2 | no | — |
| 559 | #41 | — | 356 | 2 | no | — |
| 560 | #41 | — | 356 | 2 | no | — |
| 561 | #41 | — | 356 | 2 | no | — |
| 562 | #41 | — | 356 | 1 | no | — |
| 563 | #41 | — | 356 | 1 | no | — |
| 564 | #41 | — | 356 | 1 | no | — |
| 565 | #41 | — | 356 | 1 | no | — |
| 566 | #41 | — | 356 | 1 | no | — |
| 567 | #41 | — | 178 | 2 | no | — |
| 568 | #41 | — | 178 | 2 | no | — |
| 569 | #41 | — | 178 | 2 | no | — |
| 570 | #41 | — | 178 | 2 | no | — |
| 571 | #41 | — | 178 | 2 | no | — |
| 572 | #41 | — | 178 | 2 | no | — |
| 573 | C2×Q8 | — | 2 | 1 | no | — |
| 574 | C2×Q8 | — | 356 | 1 | no | — |
| 575 | C2×Q8 | — | 356 | 1 | no | — |
| 576 | C2×Q8 | — | 356 | 1 | no | — |
| 577 | C2×Q8 | — | 178 | 1 | no | — |
| 578 | C2×Q8 | — | 178 | 2 | no | — |
| 579 | C2×Q8 | — | 178 | 2 | no | — |
| 580 | C2×D4 | — | 2 | 1 | no | — |
| 581 | C2×D4 | — | 2 | 1 | no | — |
| 582 | C2×D4 | — | 4 | 1 | no | — |
| 583 | C2×D4 | — | 4 | 1 | no | — |
| 584 | C2×D4 | — | 356 | 1 | no | — |
| 585 | C2×D4 | — | 356 | 1 | no | — |
| 586 | C2×D4 | — | 356 | 1 | no | — |
| 587 | C2×D4 | — | 356 | 1 | no | — |
| 588 | C2×D4 | — | 356 | 1 | no | — |
| 589 | C2×D4 | — | 356 | 1 | no | — |
| 590 | C2×D4 | — | 356 | 1 | no | — |
| 591 | C2×D4 | — | 356 | 2 | no | — |
| 592 | C2×D4 | — | 356 | 2 | no | — |
| 593 | C2×D4 | — | 356 | 2 | no | — |
| 594 | C2×D4 | — | 356 | 2 | no | — |
| 595 | C2×D4 | — | 356 | 1 | no | — |
| 596 | C2×D4 | — | 356 | 1 | no | — |
| 597 | C2×D4 | — | 356 | 1 | no | — |
| 598 | C2×D4 | — | 356 | 1 | no | — |
| 599 | C2×D4 | — | 356 | 1 | no | — |
| 600 | C2×D4 | — | 356 | 1 | no | — |
| 601 | C2×D4 | — | 356 | 1 | no | — |
| 602 | C2×D4 | — | 178 | 1 | no | — |
| 603 | C2×D4 | — | 178 | 2 | no | — |
| 604 | C2×D4 | — | 178 | 2 | no | — |
| 605 | C2×D4 | — | 178 | 1 | no | — |
| 606 | C2×D4 | — | 712 | 4 | no | — |
| 607 | C22×C4 | — | 4 | 1 | no | — |
| 608 | C22×C4 | — | 89 | 1 | no | — |
| 609 | C22×C4 | — | 89 | 1 | no | — |
| 610 | C22×C4 | — | 89 | 1 | no | — |
| 611 | C22×C4 | — | 89 | 1 | no | — |
| 612 | C22×C4 | — | 89 | 1 | no | — |
| 613 | C22×C4 | — | 356 | 1 | no | — |
| 614 | C22×C4 | — | 356 | 2 | no | — |
| 615 | C22×C4 | — | 356 | 1 | no | — |
| 616 | C22×C4 | — | 356 | 2 | no | — |
| 617 | C22×C4 | — | 356 | 2 | no | — |
| 618 | C22×C4 | — | 356 | 1 | no | — |
| 619 | C22×C4 | — | 356 | 2 | no | — |
| 620 | C22×C4 | — | 356 | 1 | no | — |
| 621 | C22×C4 | — | 356 | 1 | no | — |
| 622 | C22×C4 | — | 178 | 1 | no | — |
| 623 | C22×C4 | — | 178 | 1 | no | — |
| 624 | C22×C4 | — | 178 | 1 | no | — |
| 625 | C22×C4 | — | 178 | 1 | no | — |
| 626 | C22×C4 | D4×D89 | 1 | 1 | yes | characteristic |
| 627 | Q16 | — | 2 | 1 | no | — |
| 628 | Q16 | — | 89 | 2 | no | — |
| 629 | Q16 | — | 178 | 1 | no | — |
| 630 | Q16 | — | 178 | 2 | no | — |
| 631 | Q16 | — | 178 | 2 | no | — |
| 632 | Q16 | D4×D89 | 1 | 2 | yes | complemented |
| 633 | SD16 | — | 2 | 2 | no | — |
| 634 | SD16 | — | 2 | 2 | no | — |
| 635 | SD16 | — | 178 | 2 | no | — |
| 636 | SD16 | — | 178 | 2 | no | — |
| 637 | SD16 | — | 178 | 2 | no | — |
| 638 | SD16 | — | 178 | 2 | no | — |
| 639 | SD16 | — | 178 | 2 | no | — |
| 640 | SD16 | — | 178 | 2 | no | — |
| 641 | D8 | — | 2 | 1 | no | — |
| 642 | D8 | — | 2 | 2 | no | — |
| 643 | D8 | — | 89 | 2 | no | — |
| 644 | D8 | — | 356 | 2 | no | — |
| 645 | D8 | — | 178 | 1 | no | — |
| 646 | D8 | — | 178 | 2 | no | — |
| 647 | D8 | — | 178 | 2 | no | — |
| 648 | D8 | — | 178 | 2 | no | — |
| 649 | D8 | D4×D89 | 1 | 2 | yes | complemented |
| 650 | M16 | — | 2 | 2 | no | — |
| 651 | M16 | — | 178 | 2 | no | — |
| 652 | M16 | — | 178 | 2 | no | — |
| 653 | M16 | — | 178 | 2 | no | — |
| 654 | C2×C8 | — | 89 | 1 | no | — |
| 655 | C2×C8 | — | 89 | 2 | no | — |
| 656 | C2×C8 | — | 89 | 2 | no | — |
| 657 | C2×C8 | — | 89 | 1 | no | — |
| 658 | C2×C8 | — | 178 | 1 | no | — |
| 659 | C2×C8 | — | 178 | 1 | no | — |
| 660 | C2×C8 | D4×D89 | 1 | 1 | yes | characteristic |
| 661 | C2×C8 | C23×D89 | 1 | 1 | yes | characteristic |
| 662 | C4⋊C4 | — | 2 | 1 | no | — |
| 663 | C4⋊C4 | — | 356 | 1 | no | — |
| 664 | C4⋊C4 | — | 178 | 1 | no | — |
| 665 | C22⋊C4 | — | 4 | 1 | no | — |
| 666 | C22⋊C4 | — | 356 | 1 | no | — |
| 667 | C22⋊C4 | — | 356 | 1 | no | — |
| 668 | C22⋊C4 | — | 356 | 1 | no | — |
| 669 | C16 | — | 2 | 2 | no | — |
| 670 | C16 | — | 178 | 2 | no | — |
| 671 | C23 | — | 4 | 1 | no | — |
| 672 | C23 | — | 4 | 1 | no | — |
| 673 | C23 | — | 89 | 1 | no | — |
| 674 | C23 | — | 89 | 1 | no | — |
| 675 | C23 | — | 356 | 1 | no | — |
| 676 | C23 | — | 356 | 2 | no | — |
| 677 | C23 | — | 356 | 2 | no | — |
| 678 | C23 | — | 356 | 2 | no | — |
| 679 | C23 | — | 356 | 1 | no | — |
| 680 | C23 | — | 178 | 1 | no | — |
| 681 | C23 | — | 178 | 1 | no | — |
| 682 | C23 | — | 712 | 1 | no | — |
| 683 | C23 | — | 712 | 1 | no | — |
| 684 | C23 | — | 712 | 4 | no | — |
| 685 | C23 | — | 712 | 2 | no | — |
| 686 | C23 | — | 712 | 2 | no | — |
| 687 | C23 | D8×D89 | 1 | 1 | yes | characteristic |
| 688 | Q8 | — | 2 | 2 | no | — |
| 689 | Q8 | — | 4 | 1 | no | — |
| 690 | Q8 | — | 356 | 1 | no | — |
| 691 | Q8 | — | 356 | 2 | no | — |
| 692 | Q8 | — | 356 | 2 | no | — |
| 693 | Q8 | — | 178 | 2 | no | — |
| 694 | D4 | — | 2 | 2 | no | — |
| 695 | D4 | — | 4 | 1 | no | — |
| 696 | D4 | — | 4 | 2 | no | — |
| 697 | D4 | — | 4 | 2 | no | — |
| 698 | D4 | — | 4 | 1 | no | — |
| 699 | D4 | — | 4 | 1 | no | — |
| 700 | D4 | — | 8 | 2 | no | — |
| 701 | D4 | — | 356 | 1 | no | — |
| 702 | D4 | — | 356 | 2 | no | — |
| 703 | D4 | — | 356 | 2 | no | — |
| 704 | D4 | — | 356 | 2 | no | — |
| 705 | D4 | — | 356 | 2 | no | — |
| 706 | D4 | — | 356 | 2 | no | — |
| 707 | D4 | — | 356 | 2 | no | — |
| 708 | D4 | — | 356 | 2 | no | — |
| 709 | D4 | — | 356 | 2 | no | — |
| 710 | D4 | — | 356 | 1 | no | — |
| 711 | D4 | — | 356 | 1 | no | — |
| 712 | D4 | — | 178 | 2 | no | — |
| 713 | D4 | — | 712 | 2 | no | — |
| 714 | D4 | — | 712 | 1 | no | — |
| 715 | D4 | — | 712 | 1 | no | — |
| 716 | D4 | — | 712 | 2 | no | — |
| 717 | D4 | — | 712 | 2 | no | — |
| 718 | C2×C4 | — | 2 | 1 | no | — |
| 719 | C2×C4 | — | 2 | 1 | no | — |
| 720 | C2×C4 | — | 4 | 2 | no | — |
| 721 | C2×C4 | — | 4 | 1 | no | — |
| 722 | C2×C4 | — | 4 | 2 | no | — |
| 723 | C2×C4 | — | 4 | 1 | no | — |
| 724 | C2×C4 | — | 89 | 1 | no | — |
| 725 | C2×C4 | — | 89 | 1 | no | — |
| 726 | C2×C4 | — | 89 | 1 | no | — |
| 727 | C2×C4 | — | 89 | 1 | no | — |
| 728 | C2×C4 | — | 89 | 1 | no | — |
| 729 | C2×C4 | — | 89 | 1 | no | — |
| 730 | C2×C4 | — | 356 | 2 | no | — |
| 731 | C2×C4 | — | 356 | 2 | no | — |
| 732 | C2×C4 | — | 356 | 2 | no | — |
| 733 | C2×C4 | — | 356 | 2 | no | — |
| 734 | C2×C4 | — | 356 | 2 | no | — |
| 735 | C2×C4 | — | 356 | 2 | no | — |
| 736 | C2×C4 | — | 356 | 1 | no | — |
| 737 | C2×C4 | — | 356 | 2 | no | — |
| 738 | C2×C4 | — | 356 | 2 | no | — |
| 739 | C2×C4 | — | 356 | 1 | no | — |
| 740 | C2×C4 | — | 178 | 1 | no | — |
| 741 | C2×C4 | — | 178 | 1 | no | — |
| 742 | C2×C4 | — | 178 | 1 | no | — |
| 743 | C2×C4 | — | 178 | 1 | no | — |
| 744 | C2×C4 | — | 178 | 1 | no | — |
| 745 | C2×C4 | — | 178 | 1 | no | — |
| 746 | C2×C4 | — | 178 | 1 | no | — |
| 747 | C2×C4 | — | 178 | 1 | no | — |
| 748 | C2×C4 | — | 712 | 2 | no | — |
| 749 | C2×C4 | D8×D89 | 1 | 1 | yes | characteristic |
| 750 | C2×C4 | C2×D4×D89 | 1 | 1 | yes | characteristic |
| 751 | C8 | — | 2 | 1 | no | — |
| 752 | C8 | — | 89 | 2 | no | — |
| 753 | C8 | — | 178 | 1 | no | — |
| 754 | C8 | C2×D4×D89 | 1 | 2 | yes | — |
| 755 | C22 | — | 2 | 1 | no | — |
| 756 | C22 | — | 4 | 1 | no | — |
| 757 | C22 | — | 4 | 2 | no | — |
| 758 | C22 | — | 8 | 1 | no | — |
| 759 | C22 | — | 8 | 1 | no | — |
| 760 | C22 | — | 8 | 2 | no | — |
| 761 | C22 | — | 8 | 1 | no | — |
| 762 | C22 | — | 89 | 1 | no | — |
| 763 | C22 | — | 89 | 1 | no | — |
| 764 | C22 | — | 356 | 1 | no | — |
| 765 | C22 | — | 356 | 2 | no | — |
| 766 | C22 | — | 356 | 2 | no | — |
| 767 | C22 | — | 1424 | 2 | no | — |
| 768 | C22 | — | 1424 | 2 | no | — |
| 769 | C22 | — | 178 | 2 | no | — |
| 770 | C22 | — | 178 | 1 | no | — |
| 771 | C22 | — | 712 | 1 | no | — |
| 772 | C22 | — | 712 | 1 | no | — |
| 773 | C22 | — | 712 | 1 | no | — |
| 774 | C22 | — | 712 | 2 | no | — |
| 775 | C22 | — | 712 | 4 | no | — |
| 776 | C22 | — | 712 | 4 | no | — |
| 777 | C22 | — | 712 | 1 | no | — |
| 778 | C22 | C2×D8×D89 | 1 | 1 | yes | characteristic |
| 779 | C4 | — | 2 | 1 | no | — |
| 780 | C4 | — | 4 | 2 | no | — |
| 781 | C4 | — | 8 | 1 | no | — |
| 782 | C4 | — | 89 | 1 | no | — |
| 783 | C4 | — | 89 | 1 | no | — |
| 784 | C4 | — | 356 | 2 | no | — |
| 785 | C4 | — | 178 | 1 | no | — |
| 786 | C4 | — | 712 | 1 | no | — |
| 787 | C4 | #120×D89 | 1 | 1 | yes | characteristic |
| 788 | C4 | AGL(1,ℤ/8)×D89 | 1 | 1 | yes | characteristic |
| 789 | C2 | — | 2 | 1 | no | — |
| 790 | C2 | — | 4 | 1 | no | — |
| 791 | C2 | — | 8 | 2 | no | — |
| 792 | C2 | — | 16 | 1 | no | — |
| 793 | C2 | — | 89 | 2 | no | — |
| 794 | C2 | — | 356 | 1 | no | — |
| 795 | C2 | — | 1424 | 1 | no | — |
| 796 | C2 | — | 178 | 1 | no | — |
| 797 | C2 | — | 712 | 2 | no | — |
| 798 | C2 | #447×D89 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #575×D89 | C2 | semidirect |
| 2. #509×D89 | C2 | semidirect |
| 3. #469×D89 | C2 | semidirect |
| 4. #26022200 | C2 | semidirect |
| 5. #26022199 | C2 | semidirect |
| 6. #26022198 | C2 | semidirect |
| 7. #26022197 | C2 | semidirect |
| 8. #26022196 | C2 | semidirect |
| 9. #360×D89 | C2 | semidirect |
| 10. #349×D89 | C2 | semidirect |
| 11. C89×#2190 | C2 | semidirect |
| 13. #19152398 | C22 | semidirect |
| 17. #19152395 | C22 | semidirect |
| 23. C2×D8×D89 | C22 | semidirect |
| 26. #19152036 | C22 | semidirect |
| 28. #19152034 | C22 | semidirect |
| 29. #19152033 | C22 | semidirect |
| 33. M32×D89 | C22 | semidirect |
| 34. #19151852 | C22 | semidirect |
| 35. #19151851 | C22 | semidirect |
| 38. #19151848 | C22 | semidirect |
| 39. #106×D89 | C22 | semidirect |
| 41. #19151409 | C22 | semidirect |
| 42. #19151408 | C22 | semidirect |
| 43. #19151407 | C22 | semidirect |
| 44. #19151380 | C22 | semidirect |
| 45. #19151379 | C22 | semidirect |
| 46. #575×C89 | C22 | semidirect |
| 47. #509×C89 | C22 | semidirect |
| 48. #469×C89 | C22 | semidirect |
| 49. #360×C89 | C22 | semidirect |
| 50. #349×C89 | C22 | semidirect |
| 86. #15668035 | D4 | semidirect |
| 94. #15668031 | D4 | semidirect |
| 96. Q16×D89 | D4 | semidirect |
| 99. C2×D712 | C23 | semidirect |
| 104. D8×D89 | D4 | semidirect |
| 125. #15667952 | C23 | semidirect |
| 128. #15667944 | C23 | semidirect |
| 138. C2×D8×C89 | C23 | semidirect |
| 143. M32×C89 | C23 | semidirect |
| 144. #106×C89 | C23 | semidirect |
| 217. Dic356 | C2×D4 | semidirect |
| 228. D712 | C2×D4 | semidirect |
| 259. Q16×C89 | C2×D4 | semidirect |
| 264. D8×C89 | C2×D4 | semidirect |
| 399. D89 | #2190 | direct (N × H) |
| 408. #2190 | D89 | direct (N × H) |
| 411. C89 | C2×#2190 | semidirect |
| 419. #575 | C2×D89 | semidirect |
| 432. #509 | C2×D89 | semidirect |
| 441. #469 | C2×D89 | semidirect |
| 447. #360 | C2×D89 | semidirect |
| 450. #349 | C2×D89 | semidirect |
| 510. C2×D8 | C22×D89 | semidirect |
| 537. M32 | C22×D89 | semidirect |
| 541. #106 | C22×D89 | semidirect |
| 632. Q16 | D4×D89 | semidirect |
| 649. D8 | D4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #575×D89 | 2 |
| #509×D89 | 2 |
| #469×D89 | 2 |
| #26022200 | 2 |
| #26022199 | 2 |
| #26022198 | 2 |
| #26022197 | 2 |
| #26022196 | 2 |
| #360×D89 | 2 |
| #349×D89 | 2 |
| C89×#2190 | 2 |
| C2×#2190 | 89 |