Finite Group DatabasebetaFinite Group DatabasebetaOrder 3072.
2978 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 2978 conjugacy classes of subgroups — too many to draw. Only its 60 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72341689 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #72341665 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72320753 | — | 3 | 1 | no | maximal, Sylow |
| 4 | #72227314 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11715838 | — | 2 | 1 | no | — |
| 6 | #11715737 | C4 | 1 | 1 | yes | characteristic, complemented |
| 7 | #11715736 | C4 | 1 | 1 | yes | characteristic, complemented |
| 8 | #11715735 | — | 2 | 1 | no | — |
| 9 | #11715659 | — | 2 | 1 | no | — |
| 10 | #11711601 | — | 4 | 3 | no | maximal |
| 11 | C2×#85666 | C22 | 1 | 1 | yes | characteristic |
| 12 | #11710557 | — | 2 | 1 | no | — |
| 13 | #10585848 | D3 | 1 | 1 | yes | characteristic, complemented |
| 14 | #6629044 | — | 3 | 1 | no | — |
| 15 | #494668 | — | 3 | 3 | no | — |
| 16 | #494642 | — | 3 | 3 | no | — |
| 17 | #392195 | — | 3 | 1 | no | — |
| 18 | #146449 | — | 3 | 3 | no | — |
| 19 | #146432 | — | 3 | 3 | no | — |
| 20 | C2×#5950 | D4 | 1 | 1 | yes | characteristic |
| 21 | #87521 | — | 2 | 1 | no | — |
| 22 | #87519 | — | 4 | 1 | no | — |
| 23 | #87517 | — | 2 | 1 | no | — |
| 24 | #87515 | — | 4 | 1 | no | — |
| 25 | #85666 | C2×C4 | 1 | 1 | yes | characteristic |
| 26 | #85666 | D4 | 1 | 1 | yes | characteristic |
| 27 | #85564 | — | 4 | 1 | no | — |
| 28 | #85440 | — | 4 | 3 | no | — |
| 29 | #3407⋊C3 | — | 8 | 1 | no | — |
| 30 | A4×M32 | — | 4 | 3 | no | — |
| 31 | #73110 | — | 4 | 3 | no | — |
| 32 | C2×#3573 | C2×D3 | 1 | 1 | yes | characteristic |
| 33 | #62624 | — | 2 | 1 | no | — |
| 34 | #62624 | — | 6 | 2 | no | — |
| 35 | #62624 | — | 6 | 3 | no | — |
| 36 | C2×#3407 | — | 3 | 3 | no | — |
| 37 | C2×#3407 | — | 3 | 3 | no | — |
| 38 | C2×#3407 | — | 6 | 1 | no | — |
| 39 | C2×#3407 | — | 6 | 1 | no | — |
| 40 | #60450 | — | 3 | 3 | no | — |
| 41 | #60398 | — | 6 | 1 | no | — |
| 42 | C2×#2145 | — | 3 | 3 | no | — |
| 43 | C22×#360 | — | 3 | 1 | no | — |
| 44 | #32949 | — | 3 | 3 | no | — |
| 45 | #32949 | — | 3 | 1 | no | — |
| 46 | #32948 | — | 3 | 3 | no | — |
| 47 | #32948 | — | 3 | 1 | no | — |
| 48 | #32947 | — | 6 | 3 | no | — |
| 49 | #32947 | — | 6 | 1 | no | — |
| 50 | #21009 | — | 6 | 3 | no | — |
| 51 | C2×#1812 | — | 3 | 3 | no | — |
| 52 | C2×#1812 | — | 3 | 3 | no | — |
| 53 | #20662 | — | 3 | 3 | no | — |
| 54 | #20610 | — | 6 | 1 | no | — |
| 55 | #13077 | — | 6 | 6 | no | — |
| 56 | #13077 | — | 6 | 6 | no | — |
| 57 | #13065 | — | 6 | 3 | no | — |
| 58 | #13065 | — | 6 | 3 | no | — |
| 59 | #13065 | — | 6 | 3 | no | — |
| 60 | #13065 | — | 6 | 3 | no | — |
| 61 | #12567 | — | 3 | 3 | no | — |
| 62 | #12567 | — | 3 | 6 | no | — |
| 63 | C2×#1386 | — | 3 | 3 | no | — |
| 64 | #10742 | — | 6 | 3 | no | — |
| 65 | #5950 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 66 | #5950 | SD16 | 1 | 1 | yes | characteristic |
| 67 | C2×#997 | D8 | 1 | 1 | yes | characteristic |
| 68 | #5934 | — | 4 | 1 | no | — |
| 69 | #5932 | — | 4 | 1 | no | — |
| 70 | #5912 | — | 8 | 3 | no | — |
| 71 | C2×#131⋊C3 | — | 8 | 1 | no | — |
| 72 | C2×C8×A4 | — | 4 | 3 | no | — |
| 73 | C4⋊SL(2,ℤ/4) | — | 8 | 3 | no | — |
| 74 | #5402 | — | 4 | 3 | no | — |
| 75 | #5401 | — | 8 | 3 | no | — |
| 76 | #5398 | — | 4 | 3 | no | — |
| 77 | #504⋊C3 | — | 8 | 2 | no | — |
| 78 | A4×C16 | — | 8 | 3 | no | — |
| 79 | #4518 | — | 16 | 1 | no | — |
| 80 | C2×#585 | D12 | 1 | 1 | yes | characteristic |
| 81 | C22×#135 | — | 3 | 1 | no | — |
| 82 | #3573 | — | 3 | 3 | no | — |
| 83 | #3573 | — | 3 | 3 | no | — |
| 84 | #3573 | — | 6 | 1 | no | — |
| 85 | #3573 | — | 6 | 1 | no | — |
| 86 | #3573 | C4×D3 | 1 | 1 | yes | characteristic |
| 87 | #3573 | #67 | 1 | 1 | yes | characteristic |
| 88 | C2×#568 | — | 3 | 3 | no | — |
| 89 | C2×#568 | — | 6 | 1 | no | — |
| 90 | C22×#131 | — | 3 | 3 | no | — |
| 91 | C22×#131 | — | 6 | 1 | no | — |
| 92 | #3449 | — | 6 | 3 | no | — |
| 93 | #3407 | — | 2 | 1 | no | — |
| 94 | #3407 | — | 3 | 6 | no | — |
| 95 | #3407 | — | 3 | 6 | no | — |
| 96 | #3407 | — | 6 | 1 | no | — |
| 97 | #3407 | — | 6 | 3 | no | — |
| 98 | #3407 | — | 6 | 3 | no | — |
| 99 | #3407 | — | 6 | 6 | no | — |
| 100 | #3407 | — | 6 | 3 | no | — |
| 101 | #3407 | — | 6 | 3 | no | — |
| 102 | #3407 | — | 6 | 12 | no | — |
| 103 | #3407 | — | 6 | 2 | no | — |
| 104 | #3407 | — | 6 | 2 | no | — |
| 105 | #3407 | — | 6 | 6 | no | — |
| 106 | #3407 | — | 6 | 6 | no | — |
| 107 | C2×#504 | — | 6 | 3 | no | — |
| 108 | C2×#504 | — | 6 | 3 | no | — |
| 109 | C2×#504 | — | 6 | 3 | no | — |
| 110 | C2×#504 | — | 6 | 3 | no | — |
| 111 | C2×#504 | — | 6 | 12 | no | — |
| 112 | C2×#504 | — | 6 | 2 | no | — |
| 113 | C2×#504 | — | 6 | 6 | no | — |
| 114 | C2×#504 | — | 6 | 6 | no | — |
| 115 | C2×#504 | — | 6 | 2 | no | — |
| 116 | C22×M32 | — | 3 | 3 | no | — |
| 117 | C22×M32 | — | 3 | 1 | no | — |
| 118 | C22×M32 | — | 3 | 3 | no | — |
| 119 | C22×M32 | — | 3 | 3 | no | — |
| 120 | C22×M32 | — | 3 | 3 | no | — |
| 121 | C22×M32 | — | 6 | 3 | no | — |
| 122 | C22×M32 | S4 | 1 | 3 | yes | complemented |
| 123 | #3061 | — | 6 | 3 | no | — |
| 124 | #3061 | — | 6 | 3 | no | — |
| 125 | #3060 | — | 6 | 3 | no | — |
| 126 | #3060 | — | 6 | 3 | no | — |
| 127 | #3059 | — | 3 | 3 | no | — |
| 128 | #3059 | — | 3 | 3 | no | — |
| 129 | #3058 | — | 3 | 3 | no | — |
| 130 | #3058 | — | 3 | 3 | no | — |
| 131 | #3057 | — | 6 | 3 | no | — |
| 132 | #3057 | — | 6 | 3 | no | — |
| 133 | #3054 | — | 6 | 3 | no | — |
| 134 | #3054 | — | 6 | 3 | no | — |
| 135 | #3050 | — | 6 | 3 | no | — |
| 136 | #3050 | — | 6 | 3 | no | — |
| 137 | #3028 | — | 6 | 3 | no | — |
| 138 | #3028 | — | 6 | 1 | no | — |
| 139 | #3027 | — | 6 | 3 | no | — |
| 140 | #3027 | — | 6 | 1 | no | — |
| 141 | #3026 | — | 12 | 3 | no | — |
| 142 | #3026 | — | 12 | 1 | no | — |
| 143 | #3025 | — | 12 | 3 | no | — |
| 144 | #3025 | — | 12 | 1 | no | — |
| 145 | C2×#427 | — | 3 | 3 | no | — |
| 146 | C2×#427 | — | 3 | 3 | no | — |
| 147 | C22×#106 | — | 3 | 1 | no | — |
| 148 | #2896 | — | 6 | 3 | no | — |
| 149 | C2×#410 | — | 6 | 3 | no | — |
| 150 | C2×#410 | — | 6 | 3 | no | — |
| 151 | #2311 | — | 6 | 3 | no | — |
| 152 | #2145 | — | 6 | 12 | no | — |
| 153 | C2×#360 | — | 6 | 3 | no | — |
| 154 | C2×#360 | — | 6 | 3 | no | — |
| 155 | C2×#360 | — | 6 | 3 | no | — |
| 156 | C2×#360 | — | 6 | 3 | no | — |
| 157 | #1910 | — | 6 | 3 | no | — |
| 158 | #1910 | — | 6 | 3 | no | — |
| 159 | #1910 | — | 6 | 6 | no | — |
| 160 | #1909 | — | 6 | 3 | no | — |
| 161 | #1909 | — | 6 | 3 | no | — |
| 162 | #1909 | — | 6 | 6 | no | — |
| 163 | #1812 | — | 3 | 6 | no | — |
| 164 | #1812 | — | 3 | 3 | no | — |
| 165 | #1812 | — | 3 | 3 | no | — |
| 166 | #1812 | — | 6 | 3 | no | — |
| 167 | #1812 | — | 6 | 3 | no | — |
| 168 | #1812 | — | 6 | 3 | no | — |
| 169 | #1812 | — | 6 | 3 | no | — |
| 170 | #1812 | — | 6 | 3 | no | — |
| 171 | #1812 | — | 6 | 3 | no | — |
| 172 | #1809 | — | 6 | 3 | no | — |
| 173 | #1809 | — | 6 | 3 | no | — |
| 174 | #1807 | — | 6 | 3 | no | — |
| 175 | #1807 | — | 6 | 3 | no | — |
| 176 | #1790 | — | 12 | 3 | no | — |
| 177 | #1790 | — | 12 | 1 | no | — |
| 178 | #1736 | — | 6 | 3 | no | — |
| 179 | C2×H(3,ℤ/4) | — | 6 | 3 | no | — |
| 180 | C2×H(3,ℤ/4) | — | 6 | 3 | no | — |
| 181 | #1386 | — | 6 | 3 | no | — |
| 182 | #1386 | — | 6 | 3 | no | — |
| 183 | #1386 | — | 6 | 3 | no | — |
| 184 | #1386 | — | 6 | 3 | no | — |
| 185 | #1386 | — | 6 | 12 | no | — |
| 186 | #997 | #102 | 1 | 1 | yes | characteristic |
| 187 | C2×#41⋊C3 | — | 8 | 1 | no | — |
| 188 | C2×C4×A4 | — | 4 | 3 | no | — |
| 189 | GL(2,ℤ/4) | — | 16 | 3 | no | — |
| 190 | C2×SL(2,ℤ/4) | — | 16 | 3 | no | — |
| 191 | C4⋊S4 | — | 8 | 3 | no | — |
| 192 | C4×S4 | — | 16 | 3 | no | — |
| 193 | A4⋊Q8 | — | 8 | 3 | no | — |
| 194 | #904 | — | 16 | 1 | no | — |
| 195 | #131⋊C3 | — | 8 | 1 | no | — |
| 196 | #131⋊C3 | — | 8 | 1 | no | — |
| 197 | C8×A4 | — | 4 | 3 | no | — |
| 198 | C8×A4 | — | 4 | 3 | no | — |
| 199 | C3×M32 | — | 16 | 1 | no | — |
| 200 | #817 | — | 16 | 1 | no | — |
| 201 | #585 | — | 3 | 3 | no | — |
| 202 | #585 | — | 3 | 3 | no | — |
| 203 | #585 | — | 6 | 1 | no | — |
| 204 | #585 | — | 6 | 1 | no | — |
| 205 | #585 | #204 | 1 | 1 | yes | characteristic |
| 206 | #585 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 207 | C2×2−1+4 | — | 6 | 1 | no | — |
| 208 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 209 | C2×H(5,𝔽2) | D24 | 1 | 1 | yes | characteristic |
| 210 | C22×#41 | — | 3 | 3 | no | — |
| 211 | C22×#41 | — | 6 | 1 | no | — |
| 212 | C22×#41 | — | 6 | 1 | no | — |
| 213 | C2×#135 | — | 6 | 3 | no | — |
| 214 | C2×#135 | — | 6 | 3 | no | — |
| 215 | C2×#135 | — | 6 | 3 | no | — |
| 216 | C2×#135 | — | 6 | 3 | no | — |
| 217 | C22×Q16 | — | 3 | 1 | no | — |
| 218 | C22×SD16 | — | 6 | 1 | no | — |
| 219 | C22×D8 | — | 3 | 1 | no | — |
| 220 | #568 | — | 3 | 3 | no | — |
| 221 | #568 | — | 3 | 3 | no | — |
| 222 | #568 | — | 3 | 6 | no | — |
| 223 | #568 | — | 6 | 1 | no | — |
| 224 | #568 | — | 6 | 1 | no | — |
| 225 | #568 | — | 6 | 3 | no | — |
| 226 | #568 | — | 6 | 6 | no | — |
| 227 | #568 | — | 6 | 6 | no | — |
| 228 | #568 | — | 6 | 6 | no | — |
| 229 | #568 | — | 6 | 3 | no | — |
| 230 | #568 | — | 6 | 3 | no | — |
| 231 | #568 | — | 6 | 3 | no | — |
| 232 | #568 | — | 6 | 2 | no | — |
| 233 | C2×#131 | — | 2 | 1 | no | — |
| 234 | C2×#131 | — | 3 | 3 | no | — |
| 235 | C2×#131 | — | 3 | 3 | no | — |
| 236 | C2×#131 | — | 3 | 3 | no | — |
| 237 | C2×#131 | — | 3 | 3 | no | — |
| 238 | C2×#131 | — | 3 | 3 | no | — |
| 239 | C2×#131 | — | 3 | 3 | no | — |
| 240 | C2×#131 | — | 3 | 3 | no | — |
| 241 | C2×#131 | — | 3 | 3 | no | — |
| 242 | C2×#131 | — | 6 | 1 | no | — |
| 243 | C2×#131 | — | 6 | 1 | no | — |
| 244 | C2×#131 | — | 6 | 6 | no | — |
| 245 | C2×#131 | — | 6 | 3 | no | — |
| 246 | C2×#131 | — | 6 | 3 | no | — |
| 247 | C2×#131 | — | 6 | 6 | no | — |
| 248 | C2×#131 | — | 6 | 6 | no | — |
| 249 | C2×#131 | — | 6 | 3 | no | — |
| 250 | C2×#131 | — | 6 | 3 | no | — |
| 251 | C2×#131 | — | 6 | 3 | no | — |
| 252 | C2×#131 | — | 6 | 3 | no | — |
| 253 | C2×#131 | — | 6 | 1 | no | — |
| 254 | C2×#131 | — | 6 | 1 | no | — |
| 255 | C2×#131 | — | 6 | 1 | no | — |
| 256 | C22×M16 | — | 3 | 3 | no | — |
| 257 | C22×M16 | — | 3 | 3 | no | — |
| 258 | C22×M16 | — | 3 | 3 | no | — |
| 259 | C22×M16 | — | 6 | 3 | no | — |
| 260 | C23×C8 | — | 3 | 1 | no | — |
| 261 | C23×C8 | — | 3 | 3 | no | — |
| 262 | C23×C8 | C2×S4 | 1 | 3 | yes | — |
| 263 | #537 | — | 12 | 3 | no | — |
| 264 | #537 | — | 12 | 3 | no | — |
| 265 | #536 | — | 6 | 3 | no | — |
| 266 | #536 | — | 6 | 3 | no | — |
| 267 | #536 | — | 12 | 3 | no | — |
| 268 | #535 | — | 6 | 3 | no | — |
| 269 | #535 | — | 6 | 3 | no | — |
| 270 | #535 | — | 12 | 3 | no | — |
| 271 | #534 | — | 12 | 3 | no | — |
| 272 | #534 | — | 12 | 3 | no | — |
| 273 | #532 | — | 12 | 3 | no | — |
| 274 | #532 | — | 12 | 3 | no | — |
| 275 | #525 | — | 12 | 3 | no | — |
| 276 | #525 | — | 12 | 3 | no | — |
| 277 | #525 | — | 12 | 3 | no | — |
| 278 | #525 | — | 12 | 3 | no | — |
| 279 | C2×#117 | — | 6 | 3 | no | — |
| 280 | C2×#117 | — | 6 | 3 | no | — |
| 281 | C22×C4⋊C4 | — | 6 | 1 | no | — |
| 282 | #504 | — | 2 | 2 | no | — |
| 283 | #504 | — | 6 | 6 | no | — |
| 284 | #504 | — | 6 | 12 | no | — |
| 285 | #504 | — | 6 | 12 | no | — |
| 286 | #504 | — | 6 | 12 | no | — |
| 287 | #504 | — | 6 | 2 | no | — |
| 288 | #504 | — | 6 | 6 | no | — |
| 289 | #504 | — | 6 | 12 | no | — |
| 290 | #504 | — | 6 | 6 | no | — |
| 291 | #504 | — | 6 | 6 | no | — |
| 292 | #504 | — | 6 | 12 | no | — |
| 293 | #504 | — | 6 | 12 | no | — |
| 294 | #504 | — | 6 | 6 | no | — |
| 295 | #504 | — | 6 | 2 | no | — |
| 296 | C2×M32 | — | 3 | 3 | no | — |
| 297 | C2×M32 | — | 3 | 3 | no | — |
| 298 | C2×M32 | — | 3 | 3 | no | — |
| 299 | C2×M32 | — | 3 | 12 | no | — |
| 300 | C2×M32 | — | 3 | 3 | no | — |
| 301 | C2×M32 | — | 6 | 3 | no | — |
| 302 | C2×M32 | — | 6 | 3 | no | — |
| 303 | C2×M32 | — | 6 | 6 | no | — |
| 304 | C2×M32 | — | 6 | 6 | no | — |
| 305 | C2×M32 | — | 6 | 3 | no | — |
| 306 | C2×M32 | — | 6 | 6 | no | — |
| 307 | C2×M32 | — | 6 | 6 | no | — |
| 308 | C2×M32 | — | 6 | 3 | no | — |
| 309 | C2×M32 | — | 6 | 3 | no | — |
| 310 | C2×M32 | — | 6 | 3 | no | — |
| 311 | C2×M32 | — | 6 | 3 | no | — |
| 312 | C2×M32 | — | 6 | 6 | no | — |
| 313 | C2×M32 | — | 6 | 6 | no | — |
| 314 | C2×M32 | — | 6 | 6 | no | — |
| 315 | C2×M32 | — | 6 | 3 | no | — |
| 316 | C2×M32 | — | 6 | 1 | no | — |
| 317 | C2×M32 | — | 6 | 1 | no | — |
| 318 | C22×C16 | — | 2 | 3 | no | — |
| 319 | C22×C16 | — | 6 | 1 | no | — |
| 320 | C22×C16 | — | 6 | 3 | no | — |
| 321 | C22×C16 | — | 6 | 3 | no | — |
| 322 | C22×C16 | — | 6 | 3 | no | — |
| 323 | C22×C16 | — | 6 | 3 | no | — |
| 324 | C22×C16 | — | 6 | 6 | no | — |
| 325 | #470 | — | 6 | 3 | no | — |
| 326 | #470 | — | 6 | 3 | no | — |
| 327 | #470 | — | 6 | 3 | no | — |
| 328 | #470 | — | 6 | 3 | no | — |
| 329 | #469 | — | 6 | 3 | no | — |
| 330 | #469 | — | 6 | 3 | no | — |
| 331 | #469 | — | 6 | 3 | no | — |
| 332 | #469 | — | 6 | 3 | no | — |
| 333 | #468 | — | 12 | 3 | no | — |
| 334 | #468 | — | 12 | 3 | no | — |
| 335 | #468 | — | 12 | 3 | no | — |
| 336 | #468 | — | 12 | 3 | no | — |
| 337 | #467 | — | 6 | 3 | no | — |
| 338 | #467 | — | 6 | 3 | no | — |
| 339 | #467 | — | 6 | 3 | no | — |
| 340 | #467 | — | 6 | 3 | no | — |
| 341 | #466 | — | 6 | 3 | no | — |
| 342 | #466 | — | 6 | 3 | no | — |
| 343 | #466 | — | 6 | 3 | no | — |
| 344 | #466 | — | 6 | 3 | no | — |
| 345 | #465 | — | 12 | 3 | no | — |
| 346 | #465 | — | 12 | 3 | no | — |
| 347 | #465 | — | 12 | 3 | no | — |
| 348 | #465 | — | 12 | 3 | no | — |
| 349 | #458 | — | 12 | 3 | no | — |
| 350 | #458 | — | 12 | 3 | no | — |
| 351 | #458 | — | 12 | 3 | no | — |
| 352 | #458 | — | 12 | 6 | no | — |
| 353 | #458 | — | 12 | 1 | no | — |
| 354 | B(4,𝔽2) | — | 12 | 3 | no | — |
| 355 | B(4,𝔽2) | — | 12 | 3 | no | — |
| 356 | B(4,𝔽2) | — | 12 | 3 | no | — |
| 357 | B(4,𝔽2) | — | 12 | 6 | no | — |
| 358 | B(4,𝔽2) | — | 12 | 1 | no | — |
| 359 | #427 | — | 3 | 3 | no | — |
| 360 | #427 | — | 3 | 3 | no | — |
| 361 | #427 | — | 6 | 3 | no | — |
| 362 | #427 | — | 6 | 3 | no | — |
| 363 | #427 | — | 6 | 3 | no | — |
| 364 | #427 | — | 6 | 6 | no | — |
| 365 | #427 | — | 6 | 6 | no | — |
| 366 | C2×#107 | — | 6 | 3 | no | — |
| 367 | C2×#107 | — | 6 | 3 | no | — |
| 368 | C2×#106 | — | 6 | 3 | no | — |
| 369 | C2×#106 | — | 6 | 3 | no | — |
| 370 | C2×#106 | — | 6 | 3 | no | — |
| 371 | C2×#106 | — | 6 | 3 | no | — |
| 372 | #419 | — | 6 | 3 | no | — |
| 373 | #419 | — | 6 | 3 | no | — |
| 374 | #418 | — | 6 | 3 | no | — |
| 375 | #418 | — | 6 | 3 | no | — |
| 376 | #417 | — | 12 | 3 | no | — |
| 377 | #417 | — | 12 | 3 | no | — |
| 378 | #416 | — | 12 | 3 | no | — |
| 379 | #416 | — | 12 | 3 | no | — |
| 380 | #410 | — | 6 | 6 | no | — |
| 381 | #410 | — | 6 | 3 | no | — |
| 382 | #410 | — | 6 | 3 | no | — |
| 383 | #410 | — | 12 | 3 | no | — |
| 384 | #410 | — | 12 | 3 | no | — |
| 385 | #410 | — | 12 | 3 | no | — |
| 386 | #410 | — | 12 | 3 | no | — |
| 387 | #410 | — | 12 | 3 | no | — |
| 388 | #410 | — | 12 | 3 | no | — |
| 389 | C2×#99 | — | 12 | 3 | no | — |
| 390 | C2×#99 | — | 12 | 3 | no | — |
| 391 | C2×#99 | — | 12 | 3 | no | — |
| 392 | C2×#99 | — | 12 | 3 | no | — |
| 393 | #391 | — | 12 | 3 | no | — |
| 394 | #390 | — | 12 | 3 | no | — |
| 395 | #386 | — | 12 | 3 | no | — |
| 396 | #386 | — | 12 | 3 | no | — |
| 397 | #380 | — | 12 | 3 | no | — |
| 398 | #380 | — | 12 | 3 | no | — |
| 399 | #360 | — | 12 | 3 | no | — |
| 400 | #360 | — | 12 | 6 | no | — |
| 401 | #360 | — | 12 | 6 | no | — |
| 402 | #360 | — | 12 | 1 | no | — |
| 403 | #340 | — | 12 | 3 | no | — |
| 404 | #340 | — | 12 | 3 | no | — |
| 405 | H(3,ℤ/4) | — | 6 | 3 | no | — |
| 406 | H(3,ℤ/4) | — | 6 | 3 | no | — |
| 407 | H(3,ℤ/4) | — | 6 | 6 | no | — |
| 408 | H(3,ℤ/4) | — | 12 | 3 | no | — |
| 409 | H(3,ℤ/4) | — | 12 | 3 | no | — |
| 410 | C22×A4 | — | 4 | 3 | no | — |
| 411 | C2×S4 | — | 16 | 3 | no | — |
| 412 | #235 | — | 32 | 1 | no | — |
| 413 | #41⋊C3 | — | 8 | 1 | no | — |
| 414 | #41⋊C3 | — | 8 | 1 | no | — |
| 415 | C2×SL(2,𝔽3) | — | 8 | 1 | no | — |
| 416 | C4×A4 | — | 4 | 3 | no | — |
| 417 | C4×A4 | — | 4 | 3 | no | — |
| 418 | SL(2,ℤ/4) | — | 16 | 3 | no | — |
| 419 | SL(2,ℤ/4) | — | 32 | 3 | no | — |
| 420 | C2×C3×C8 | — | 16 | 1 | no | — |
| 421 | C4⋊Dic3 | — | 32 | 1 | no | — |
| 422 | Dic12 | — | 16 | 1 | no | — |
| 423 | D24 | — | 16 | 1 | no | — |
| 424 | #204 | — | 32 | 1 | no | — |
| 425 | C3×C16 | — | 32 | 1 | no | — |
| 426 | 2−1+4 | — | 6 | 1 | no | — |
| 427 | 2−1+4 | — | 6 | 1 | no | — |
| 428 | 2−1+4 | — | 6 | 6 | no | — |
| 429 | 2−1+4 | — | 6 | 3 | no | — |
| 430 | 2−1+4 | — | 6 | 3 | no | — |
| 431 | 2−1+4 | — | 6 | 2 | no | — |
| 432 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 433 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 434 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 435 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 436 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 437 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 438 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 439 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 440 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 441 | H(5,𝔽2) | #821 | 1 | 1 | yes | characteristic |
| 442 | C2×#41 | — | 2 | 1 | no | — |
| 443 | C2×#41 | — | 3 | 3 | no | — |
| 444 | C2×#41 | — | 3 | 3 | no | — |
| 445 | C2×#41 | — | 3 | 3 | no | — |
| 446 | C2×#41 | — | 3 | 3 | no | — |
| 447 | C2×#41 | — | 3 | 3 | no | — |
| 448 | C2×#41 | — | 3 | 3 | no | — |
| 449 | C2×#41 | — | 3 | 3 | no | — |
| 450 | C2×#41 | — | 3 | 3 | no | — |
| 451 | C2×#41 | — | 6 | 1 | no | — |
| 452 | C2×#41 | — | 6 | 1 | no | — |
| 453 | C2×#41 | — | 6 | 1 | no | — |
| 454 | C2×#41 | — | 6 | 3 | no | — |
| 455 | C2×#41 | — | 6 | 6 | no | — |
| 456 | C2×#41 | — | 6 | 3 | no | — |
| 457 | C2×#41 | — | 6 | 6 | no | — |
| 458 | C2×#41 | — | 6 | 6 | no | — |
| 459 | C2×#41 | — | 6 | 3 | no | — |
| 460 | C2×#41 | — | 6 | 3 | no | — |
| 461 | C2×#41 | — | 6 | 3 | no | — |
| 462 | C2×#41 | — | 6 | 3 | no | — |
| 463 | C2×#41 | — | 6 | 1 | no | — |
| 464 | C2×#41 | — | 6 | 1 | no | — |
| 465 | C2×#41 | — | 12 | 3 | no | — |
| 466 | C2×#41 | — | 12 | 3 | no | — |
| 467 | C2×#41 | — | 12 | 3 | no | — |
| 468 | C2×#41 | — | 12 | 3 | no | — |
| 469 | C22×Q8 | — | 3 | 3 | no | — |
| 470 | C22×Q8 | — | 6 | 1 | no | — |
| 471 | C22×Q8 | — | 6 | 1 | no | — |
| 472 | C22×D4 | — | 3 | 3 | no | — |
| 473 | C22×D4 | — | 3 | 3 | no | — |
| 474 | C22×D4 | — | 3 | 3 | no | — |
| 475 | C22×D4 | — | 6 | 1 | no | — |
| 476 | C22×D4 | — | 6 | 3 | no | — |
| 477 | C22×D4 | — | 12 | 1 | no | — |
| 478 | C23×C4 | — | 3 | 1 | no | — |
| 479 | C23×C4 | — | 3 | 3 | no | — |
| 480 | C23×C4 | — | 12 | 1 | no | — |
| 481 | C23×C4 | — | 12 | 1 | no | — |
| 482 | C23×C4 | C4⋊S4 | 1 | 3 | yes | — |
| 483 | #135 | — | 12 | 6 | no | — |
| 484 | #135 | — | 12 | 3 | no | — |
| 485 | #135 | — | 12 | 3 | no | — |
| 486 | #135 | — | 12 | 3 | no | — |
| 487 | #135 | — | 12 | 1 | no | — |
| 488 | C2×Q16 | — | 6 | 3 | no | — |
| 489 | C2×Q16 | — | 6 | 3 | no | — |
| 490 | C2×SD16 | — | 12 | 3 | no | — |
| 491 | C2×SD16 | — | 12 | 3 | no | — |
| 492 | C2×D8 | — | 6 | 3 | no | — |
| 493 | C2×D8 | — | 6 | 3 | no | — |
| 494 | #131 | — | 2 | 1 | no | — |
| 495 | #131 | — | 2 | 1 | no | — |
| 496 | #131 | — | 6 | 3 | no | — |
| 497 | #131 | — | 6 | 6 | no | — |
| 498 | #131 | — | 6 | 3 | no | — |
| 499 | #131 | — | 6 | 3 | no | — |
| 500 | #131 | — | 6 | 6 | no | — |
| 501 | #131 | — | 6 | 3 | no | — |
| 502 | #131 | — | 6 | 6 | no | — |
| 503 | #131 | — | 6 | 6 | no | — |
| 504 | #131 | — | 6 | 6 | no | — |
| 505 | #131 | — | 6 | 6 | no | — |
| 506 | #131 | — | 6 | 3 | no | — |
| 507 | #131 | — | 6 | 3 | no | — |
| 508 | #131 | — | 6 | 6 | no | — |
| 509 | #131 | — | 6 | 6 | no | — |
| 510 | #131 | — | 6 | 6 | no | — |
| 511 | #131 | — | 6 | 6 | no | — |
| 512 | #131 | — | 6 | 6 | no | — |
| 513 | #131 | — | 6 | 6 | no | — |
| 514 | #131 | — | 6 | 1 | no | — |
| 515 | #131 | — | 6 | 1 | no | — |
| 516 | #131 | — | 6 | 3 | no | — |
| 517 | #131 | — | 6 | 3 | no | — |
| 518 | #131 | — | 6 | 3 | no | — |
| 519 | #131 | — | 6 | 3 | no | — |
| 520 | #131 | — | 6 | 1 | no | — |
| 521 | #131 | — | 6 | 1 | no | — |
| 522 | C2×M16 | — | 3 | 3 | no | — |
| 523 | C2×M16 | — | 3 | 3 | no | — |
| 524 | C2×M16 | — | 3 | 3 | no | — |
| 525 | C2×M16 | — | 3 | 3 | no | — |
| 526 | C2×M16 | — | 3 | 3 | no | — |
| 527 | C2×M16 | — | 3 | 3 | no | — |
| 528 | C2×M16 | — | 3 | 3 | no | — |
| 529 | C2×M16 | — | 3 | 3 | no | — |
| 530 | C2×M16 | — | 3 | 3 | no | — |
| 531 | C2×M16 | — | 3 | 3 | no | — |
| 532 | C2×M16 | — | 3 | 3 | no | — |
| 533 | C2×M16 | — | 3 | 3 | no | — |
| 534 | C2×M16 | — | 6 | 3 | no | — |
| 535 | C2×M16 | — | 6 | 6 | no | — |
| 536 | C2×M16 | — | 6 | 6 | no | — |
| 537 | C2×M16 | — | 6 | 6 | no | — |
| 538 | C2×M16 | — | 6 | 6 | no | — |
| 539 | C2×M16 | — | 6 | 6 | no | — |
| 540 | C2×M16 | — | 6 | 3 | no | — |
| 541 | C2×M16 | — | 6 | 3 | no | — |
| 542 | C2×M16 | — | 6 | 6 | no | — |
| 543 | C2×M16 | — | 6 | 3 | no | — |
| 544 | C2×M16 | — | 6 | 3 | no | — |
| 545 | C2×M16 | — | 6 | 1 | no | — |
| 546 | C22×C8 | — | 3 | 3 | no | — |
| 547 | C22×C8 | — | 3 | 1 | no | — |
| 548 | C22×C8 | — | 3 | 1 | no | — |
| 549 | C22×C8 | — | 3 | 3 | no | — |
| 550 | C22×C8 | — | 3 | 3 | no | — |
| 551 | C22×C8 | — | 3 | 3 | no | — |
| 552 | C22×C8 | — | 3 | 3 | no | — |
| 553 | C22×C8 | — | 3 | 3 | no | — |
| 554 | C22×C8 | — | 3 | 3 | no | — |
| 555 | C22×C8 | — | 3 | 3 | no | — |
| 556 | C22×C8 | — | 3 | 3 | no | — |
| 557 | C22×C8 | — | 3 | 3 | no | — |
| 558 | C22×C8 | — | 3 | 3 | no | — |
| 559 | C22×C8 | — | 3 | 3 | no | — |
| 560 | C22×C8 | — | 6 | 3 | no | — |
| 561 | C22×C8 | — | 6 | 3 | no | — |
| 562 | C22×C8 | — | 6 | 3 | no | — |
| 563 | C22×C8 | — | 6 | 1 | no | — |
| 564 | C22×C8 | C4×S4 | 1 | 3 | yes | — |
| 565 | C22×C8 | GL(2,ℤ/4) | 1 | 3 | yes | — |
| 566 | C4⋊Q8 | — | 12 | 3 | no | — |
| 567 | C4⋊Q8 | — | 12 | 3 | no | — |
| 568 | #127 | — | 12 | 3 | no | — |
| 569 | #127 | — | 12 | 3 | no | — |
| 570 | #124 | — | 12 | 3 | no | — |
| 571 | #124 | — | 12 | 3 | no | — |
| 572 | #124 | — | 12 | 3 | no | — |
| 573 | #124 | — | 12 | 3 | no | — |
| 574 | #123 | — | 12 | 3 | no | — |
| 575 | #123 | — | 12 | 3 | no | — |
| 576 | #123 | — | 12 | 3 | no | — |
| 577 | #123 | — | 12 | 3 | no | — |
| 578 | #123 | — | 24 | 3 | no | — |
| 579 | #123 | — | 24 | 3 | no | — |
| 580 | C22⋊Q8 | — | 12 | 3 | no | — |
| 581 | C22⋊Q8 | — | 12 | 3 | no | — |
| 582 | C22⋊Q8 | — | 12 | 3 | no | — |
| 583 | C22⋊Q8 | — | 12 | 3 | no | — |
| 584 | C22⋊Q8 | — | 24 | 3 | no | — |
| 585 | C22⋊Q8 | — | 24 | 3 | no | — |
| 586 | #121 | — | 12 | 3 | no | — |
| 587 | #121 | — | 12 | 3 | no | — |
| 588 | #121 | — | 12 | 3 | no | — |
| 589 | #121 | — | 12 | 3 | no | — |
| 590 | #121 | — | 24 | 3 | no | — |
| 591 | #121 | — | 24 | 3 | no | — |
| 592 | #121 | — | 24 | 3 | no | — |
| 593 | #121 | — | 24 | 3 | no | — |
| 594 | #121 | — | 24 | 3 | no | — |
| 595 | #121 | — | 24 | 3 | no | — |
| 596 | #120 | — | 12 | 3 | no | — |
| 597 | #120 | — | 12 | 3 | no | — |
| 598 | #120 | — | 12 | 3 | no | — |
| 599 | #120 | — | 12 | 3 | no | — |
| 600 | #120 | — | 24 | 3 | no | — |
| 601 | #120 | — | 24 | 3 | no | — |
| 602 | C4×D4 | — | 24 | 3 | no | — |
| 603 | C4×D4 | — | 24 | 3 | no | — |
| 604 | C4×D4 | — | 24 | 3 | no | — |
| 605 | C4×D4 | — | 24 | 3 | no | — |
| 606 | #117 | — | 6 | 3 | no | — |
| 607 | #117 | — | 6 | 3 | no | — |
| 608 | #117 | — | 12 | 3 | no | — |
| 609 | #117 | — | 12 | 3 | no | — |
| 610 | #117 | — | 12 | 3 | no | — |
| 611 | #117 | — | 12 | 6 | no | — |
| 612 | #117 | — | 12 | 6 | no | — |
| 613 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 614 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 615 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 616 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 617 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 618 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 619 | C2×C22⋊C4 | — | 24 | 3 | no | — |
| 620 | C2×C22⋊C4 | — | 24 | 3 | no | — |
| 621 | C2×C42 | — | 12 | 3 | no | — |
| 622 | C2×C42 | — | 12 | 3 | no | — |
| 623 | M32 | — | 3 | 6 | no | — |
| 624 | M32 | — | 3 | 6 | no | — |
| 625 | M32 | — | 3 | 3 | no | — |
| 626 | M32 | — | 6 | 3 | no | — |
| 627 | M32 | — | 6 | 2 | no | — |
| 628 | M32 | — | 6 | 12 | no | — |
| 629 | M32 | — | 6 | 3 | no | — |
| 630 | M32 | — | 6 | 6 | no | — |
| 631 | M32 | — | 6 | 6 | no | — |
| 632 | M32 | — | 6 | 1 | no | — |
| 633 | M32 | — | 6 | 2 | no | — |
| 634 | M32 | #1020 | 1 | 1 | yes | characteristic |
| 635 | C2×C16 | — | 6 | 3 | no | — |
| 636 | C2×C16 | — | 6 | 2 | no | — |
| 637 | C2×C16 | — | 6 | 3 | no | — |
| 638 | C2×C16 | — | 6 | 12 | no | — |
| 639 | C2×C16 | — | 6 | 3 | no | — |
| 640 | C2×C16 | — | 6 | 2 | no | — |
| 641 | C2×C16 | — | 6 | 6 | no | — |
| 642 | C2×C16 | — | 6 | 6 | no | — |
| 643 | C2×C16 | — | 6 | 3 | no | — |
| 644 | #107 | — | 6 | 3 | no | — |
| 645 | #107 | — | 6 | 3 | no | — |
| 646 | #107 | — | 12 | 3 | no | — |
| 647 | #107 | — | 12 | 6 | no | — |
| 648 | #106 | — | 6 | 3 | no | — |
| 649 | #106 | — | 6 | 3 | no | — |
| 650 | #106 | — | 12 | 3 | no | — |
| 651 | #106 | — | 12 | 3 | no | — |
| 652 | #106 | — | 12 | 3 | no | — |
| 653 | #106 | — | 12 | 3 | no | — |
| 654 | #106 | — | 12 | 1 | no | — |
| 655 | #103 | — | 12 | 3 | no | — |
| 656 | #103 | — | 12 | 3 | no | — |
| 657 | #103 | — | 12 | 3 | no | — |
| 658 | #103 | — | 12 | 3 | no | — |
| 659 | #102 | — | 12 | 3 | no | — |
| 660 | #102 | — | 12 | 3 | no | — |
| 661 | #102 | — | 12 | 3 | no | — |
| 662 | #102 | — | 12 | 3 | no | — |
| 663 | #99 | — | 12 | 6 | no | — |
| 664 | #99 | — | 12 | 3 | no | — |
| 665 | #99 | — | 12 | 3 | no | — |
| 666 | #99 | — | 12 | 6 | no | — |
| 667 | #99 | — | 12 | 3 | no | — |
| 668 | #99 | — | 12 | 3 | no | — |
| 669 | #99 | — | 24 | 3 | no | — |
| 670 | #99 | — | 24 | 3 | no | — |
| 671 | #99 | — | 24 | 3 | no | — |
| 672 | #99 | — | 24 | 3 | no | — |
| 673 | #95 | — | 24 | 3 | no | — |
| 674 | #95 | — | 24 | 3 | no | — |
| 675 | C2×A4 | — | 4 | 3 | no | — |
| 676 | C2×A4 | — | 8 | 3 | no | — |
| 677 | S4 | — | 32 | 3 | no | — |
| 678 | C2×C3×C4 | — | 16 | 1 | no | — |
| 679 | #67 | — | 64 | 1 | no | — |
| 680 | C2×Dic3 | — | 64 | 1 | no | — |
| 681 | D12 | — | 32 | 1 | no | — |
| 682 | C4×D3 | — | 64 | 1 | no | — |
| 683 | Dic6 | — | 32 | 1 | no | — |
| 684 | SL(2,𝔽3) | — | 8 | 1 | no | — |
| 685 | C3×C8 | — | 16 | 1 | no | — |
| 686 | C3×C8 | — | 16 | 1 | no | — |
| 687 | C24 | — | 3 | 1 | no | — |
| 688 | C24 | — | 3 | 3 | no | — |
| 689 | C24 | — | 12 | 1 | no | — |
| 690 | C24 | #5402 | 1 | 3 | yes | — |
| 691 | #41 | — | 2 | 1 | no | — |
| 692 | #41 | — | 2 | 1 | no | — |
| 693 | #41 | — | 6 | 1 | no | — |
| 694 | #41 | — | 6 | 3 | no | — |
| 695 | #41 | — | 6 | 6 | no | — |
| 696 | #41 | — | 6 | 3 | no | — |
| 697 | #41 | — | 6 | 3 | no | — |
| 698 | #41 | — | 6 | 6 | no | — |
| 699 | #41 | — | 6 | 3 | no | — |
| 700 | #41 | — | 6 | 6 | no | — |
| 701 | #41 | — | 6 | 6 | no | — |
| 702 | #41 | — | 6 | 6 | no | — |
| 703 | #41 | — | 6 | 6 | no | — |
| 704 | #41 | — | 6 | 3 | no | — |
| 705 | #41 | — | 6 | 6 | no | — |
| 706 | #41 | — | 6 | 6 | no | — |
| 707 | #41 | — | 6 | 6 | no | — |
| 708 | #41 | — | 6 | 6 | no | — |
| 709 | #41 | — | 6 | 3 | no | — |
| 710 | #41 | — | 6 | 3 | no | — |
| 711 | #41 | — | 6 | 6 | no | — |
| 712 | #41 | — | 6 | 3 | no | — |
| 713 | #41 | — | 6 | 1 | no | — |
| 714 | #41 | — | 6 | 3 | no | — |
| 715 | #41 | — | 6 | 3 | no | — |
| 716 | #41 | — | 6 | 6 | no | — |
| 717 | #41 | — | 6 | 1 | no | — |
| 718 | #41 | — | 6 | 1 | no | — |
| 719 | #41 | — | 24 | 3 | no | — |
| 720 | #41 | — | 24 | 6 | no | — |
| 721 | #41 | — | 24 | 3 | no | — |
| 722 | #41 | — | 24 | 3 | no | — |
| 723 | #41 | — | 24 | 1 | no | — |
| 724 | C2×Q8 | — | 2 | 1 | no | — |
| 725 | C2×Q8 | — | 3 | 3 | no | — |
| 726 | C2×Q8 | — | 3 | 3 | no | — |
| 727 | C2×Q8 | — | 3 | 3 | no | — |
| 728 | C2×Q8 | — | 3 | 3 | no | — |
| 729 | C2×Q8 | — | 6 | 3 | no | — |
| 730 | C2×Q8 | — | 6 | 6 | no | — |
| 731 | C2×Q8 | — | 6 | 1 | no | — |
| 732 | C2×Q8 | — | 6 | 1 | no | — |
| 733 | C2×Q8 | — | 6 | 3 | no | — |
| 734 | C2×Q8 | — | 6 | 3 | no | — |
| 735 | C2×Q8 | — | 12 | 3 | no | — |
| 736 | C2×Q8 | — | 12 | 3 | no | — |
| 737 | C2×D4 | — | 3 | 3 | no | — |
| 738 | C2×D4 | — | 3 | 3 | no | — |
| 739 | C2×D4 | — | 3 | 3 | no | — |
| 740 | C2×D4 | — | 3 | 3 | no | — |
| 741 | C2×D4 | — | 3 | 3 | no | — |
| 742 | C2×D4 | — | 3 | 3 | no | — |
| 743 | C2×D4 | — | 3 | 3 | no | — |
| 744 | C2×D4 | — | 3 | 3 | no | — |
| 745 | C2×D4 | — | 3 | 3 | no | — |
| 746 | C2×D4 | — | 3 | 3 | no | — |
| 747 | C2×D4 | — | 3 | 3 | no | — |
| 748 | C2×D4 | — | 3 | 3 | no | — |
| 749 | C2×D4 | — | 6 | 6 | no | — |
| 750 | C2×D4 | — | 6 | 6 | no | — |
| 751 | C2×D4 | — | 6 | 3 | no | — |
| 752 | C2×D4 | — | 6 | 6 | no | — |
| 753 | C2×D4 | — | 6 | 3 | no | — |
| 754 | C2×D4 | — | 6 | 3 | no | — |
| 755 | C2×D4 | — | 6 | 6 | no | — |
| 756 | C2×D4 | — | 6 | 6 | no | — |
| 757 | C2×D4 | — | 6 | 6 | no | — |
| 758 | C2×D4 | — | 6 | 1 | no | — |
| 759 | C2×D4 | — | 6 | 3 | no | — |
| 760 | C2×D4 | — | 6 | 3 | no | — |
| 761 | C2×D4 | — | 12 | 3 | no | — |
| 762 | C2×D4 | — | 12 | 3 | no | — |
| 763 | C2×D4 | — | 24 | 3 | no | — |
| 764 | C2×D4 | — | 24 | 3 | no | — |
| 765 | C2×D4 | — | 24 | 3 | no | — |
| 766 | C2×D4 | — | 24 | 3 | no | — |
| 767 | C2×D4 | — | 24 | 3 | no | — |
| 768 | C2×D4 | — | 24 | 3 | no | — |
| 769 | C22×C4 | — | 3 | 3 | no | — |
| 770 | C22×C4 | — | 3 | 3 | no | — |
| 771 | C22×C4 | — | 3 | 3 | no | — |
| 772 | C22×C4 | — | 3 | 1 | no | — |
| 773 | C22×C4 | — | 3 | 1 | no | — |
| 774 | C22×C4 | — | 3 | 3 | no | — |
| 775 | C22×C4 | — | 3 | 3 | no | — |
| 776 | C22×C4 | — | 3 | 3 | no | — |
| 777 | C22×C4 | — | 3 | 3 | no | — |
| 778 | C22×C4 | — | 3 | 3 | no | — |
| 779 | C22×C4 | — | 3 | 3 | no | — |
| 780 | C22×C4 | — | 3 | 3 | no | — |
| 781 | C22×C4 | — | 3 | 3 | no | — |
| 782 | C22×C4 | — | 3 | 3 | no | — |
| 783 | C22×C4 | — | 6 | 3 | no | — |
| 784 | C22×C4 | — | 6 | 3 | no | — |
| 785 | C22×C4 | — | 6 | 3 | no | — |
| 786 | C22×C4 | — | 6 | 1 | no | — |
| 787 | C22×C4 | — | 12 | 1 | no | — |
| 788 | C22×C4 | — | 24 | 3 | no | — |
| 789 | C22×C4 | — | 24 | 3 | no | — |
| 790 | C22×C4 | — | 24 | 3 | no | — |
| 791 | C22×C4 | — | 24 | 3 | no | — |
| 792 | C22×C4 | — | 24 | 3 | no | — |
| 793 | C22×C4 | — | 96 | 1 | no | — |
| 794 | C22×C4 | #5401 | 1 | 3 | yes | — |
| 795 | C22×C4 | (C2×S4)⋊C4 | 1 | 3 | yes | — |
| 796 | Q16 | — | 12 | 3 | no | — |
| 797 | Q16 | — | 12 | 1 | no | — |
| 798 | SD16 | — | 24 | 3 | no | — |
| 799 | SD16 | — | 24 | 1 | no | — |
| 800 | D8 | — | 12 | 3 | no | — |
| 801 | D8 | — | 12 | 1 | no | — |
| 802 | M16 | — | 6 | 3 | no | — |
| 803 | M16 | — | 6 | 6 | no | — |
| 804 | M16 | — | 6 | 3 | no | — |
| 805 | M16 | — | 6 | 6 | no | — |
| 806 | M16 | — | 6 | 6 | no | — |
| 807 | M16 | — | 6 | 6 | no | — |
| 808 | M16 | — | 6 | 6 | no | — |
| 809 | M16 | — | 6 | 2 | no | — |
| 810 | M16 | — | 6 | 1 | no | — |
| 811 | M16 | — | 6 | 1 | no | — |
| 812 | C2×C8 | — | 3 | 3 | no | — |
| 813 | C2×C8 | — | 3 | 3 | no | — |
| 814 | C2×C8 | — | 3 | 6 | no | — |
| 815 | C2×C8 | — | 3 | 3 | no | — |
| 816 | C2×C8 | — | 3 | 3 | no | — |
| 817 | C2×C8 | — | 3 | 3 | no | — |
| 818 | C2×C8 | — | 3 | 3 | no | — |
| 819 | C2×C8 | — | 3 | 3 | no | — |
| 820 | C2×C8 | — | 3 | 3 | no | — |
| 821 | C2×C8 | — | 3 | 3 | no | — |
| 822 | C2×C8 | — | 3 | 3 | no | — |
| 823 | C2×C8 | — | 3 | 3 | no | — |
| 824 | C2×C8 | — | 6 | 3 | no | — |
| 825 | C2×C8 | — | 6 | 3 | no | — |
| 826 | C2×C8 | — | 6 | 3 | no | — |
| 827 | C2×C8 | — | 6 | 3 | no | — |
| 828 | C2×C8 | — | 6 | 3 | no | — |
| 829 | C2×C8 | — | 6 | 3 | no | — |
| 830 | C2×C8 | — | 6 | 1 | no | — |
| 831 | C2×C8 | — | 6 | 1 | no | — |
| 832 | C2×C8 | — | 6 | 1 | no | — |
| 833 | C2×C8 | — | 6 | 1 | no | — |
| 834 | C2×C8 | — | 6 | 1 | no | — |
| 835 | C2×C8 | C2×#1020 | 1 | 1 | yes | characteristic |
| 836 | C4⋊C4 | — | 12 | 3 | no | — |
| 837 | C4⋊C4 | — | 12 | 3 | no | — |
| 838 | C4⋊C4 | — | 24 | 3 | no | — |
| 839 | C4⋊C4 | — | 24 | 3 | no | — |
| 840 | C4⋊C4 | — | 24 | 3 | no | — |
| 841 | C4⋊C4 | — | 24 | 3 | no | — |
| 842 | C4⋊C4 | — | 24 | 3 | no | — |
| 843 | C4⋊C4 | — | 24 | 3 | no | — |
| 844 | C4⋊C4 | — | 24 | 3 | no | — |
| 845 | C4⋊C4 | — | 24 | 3 | no | — |
| 846 | C4⋊C4 | — | 24 | 1 | no | — |
| 847 | C22⋊C4 | — | 12 | 3 | no | — |
| 848 | C22⋊C4 | — | 12 | 3 | no | — |
| 849 | C22⋊C4 | — | 24 | 3 | no | — |
| 850 | C22⋊C4 | — | 24 | 3 | no | — |
| 851 | C22⋊C4 | — | 24 | 3 | no | — |
| 852 | C22⋊C4 | — | 24 | 3 | no | — |
| 853 | C22⋊C4 | — | 24 | 3 | no | — |
| 854 | C22⋊C4 | — | 24 | 3 | no | — |
| 855 | C22⋊C4 | — | 24 | 3 | no | — |
| 856 | C22⋊C4 | — | 24 | 3 | no | — |
| 857 | C22⋊C4 | — | 24 | 3 | no | — |
| 858 | C22⋊C4 | — | 24 | 6 | no | — |
| 859 | C22⋊C4 | — | 96 | 3 | no | — |
| 860 | C22⋊C4 | — | 96 | 3 | no | — |
| 861 | C42 | — | 12 | 3 | no | — |
| 862 | C42 | — | 12 | 3 | no | — |
| 863 | C42 | — | 24 | 3 | no | — |
| 864 | C42 | — | 24 | 6 | no | — |
| 865 | C16 | — | 2 | 1 | no | — |
| 866 | C16 | — | 6 | 2 | no | — |
| 867 | C16 | — | 6 | 3 | no | — |
| 868 | C22×C3 | — | 16 | 1 | no | — |
| 869 | C2×D3 | — | 64 | 1 | no | — |
| 870 | A4 | — | 4 | 3 | no | — |
| 871 | C3×C4 | — | 16 | 1 | no | — |
| 872 | C3×C4 | — | 16 | 1 | no | — |
| 873 | Dic3 | — | 64 | 1 | no | — |
| 874 | Dic3 | — | 128 | 1 | no | — |
| 875 | C23 | — | 3 | 1 | no | — |
| 876 | C23 | — | 3 | 3 | no | — |
| 877 | C23 | — | 3 | 3 | no | — |
| 878 | C23 | — | 3 | 3 | no | — |
| 879 | C23 | — | 3 | 3 | no | — |
| 880 | C23 | — | 3 | 3 | no | — |
| 881 | C23 | — | 6 | 3 | no | — |
| 882 | C23 | — | 6 | 1 | no | — |
| 883 | C23 | — | 8 | 3 | no | — |
| 884 | C23 | — | 24 | 3 | no | — |
| 885 | C23 | — | 24 | 1 | no | — |
| 886 | C23 | — | 24 | 3 | no | — |
| 887 | C23 | — | 96 | 1 | no | — |
| 888 | C23 | #73113 | 1 | 3 | yes | — |
| 889 | Q8 | — | 2 | 1 | no | — |
| 890 | Q8 | — | 6 | 3 | no | — |
| 891 | Q8 | — | 6 | 6 | no | — |
| 892 | Q8 | — | 6 | 3 | no | — |
| 893 | Q8 | — | 6 | 1 | no | — |
| 894 | Q8 | — | 24 | 3 | no | — |
| 895 | Q8 | — | 24 | 1 | no | — |
| 896 | D4 | — | 6 | 6 | no | — |
| 897 | D4 | — | 6 | 6 | no | — |
| 898 | D4 | — | 6 | 6 | no | — |
| 899 | D4 | — | 6 | 6 | no | — |
| 900 | D4 | — | 6 | 3 | no | — |
| 901 | D4 | — | 6 | 3 | no | — |
| 902 | D4 | — | 6 | 6 | no | — |
| 903 | D4 | — | 6 | 1 | no | — |
| 904 | D4 | — | 6 | 1 | no | — |
| 905 | D4 | — | 6 | 2 | no | — |
| 906 | D4 | — | 24 | 3 | no | — |
| 907 | D4 | — | 24 | 1 | no | — |
| 908 | D4 | — | 48 | 3 | no | — |
| 909 | D4 | — | 48 | 1 | no | — |
| 910 | D4 | — | 96 | 3 | no | — |
| 911 | D4 | — | 96 | 3 | no | — |
| 912 | D4 | — | 96 | 3 | no | — |
| 913 | D4 | — | 96 | 3 | no | — |
| 914 | C2×C4 | — | 3 | 3 | no | — |
| 915 | C2×C4 | — | 3 | 6 | no | — |
| 916 | C2×C4 | — | 3 | 3 | no | — |
| 917 | C2×C4 | — | 3 | 3 | no | — |
| 918 | C2×C4 | — | 3 | 3 | no | — |
| 919 | C2×C4 | — | 3 | 3 | no | — |
| 920 | C2×C4 | — | 3 | 3 | no | — |
| 921 | C2×C4 | — | 3 | 3 | no | — |
| 922 | C2×C4 | — | 3 | 3 | no | — |
| 923 | C2×C4 | — | 3 | 3 | no | — |
| 924 | C2×C4 | — | 3 | 3 | no | — |
| 925 | C2×C4 | — | 3 | 3 | no | — |
| 926 | C2×C4 | — | 6 | 3 | no | — |
| 927 | C2×C4 | — | 6 | 3 | no | — |
| 928 | C2×C4 | — | 6 | 3 | no | — |
| 929 | C2×C4 | — | 6 | 3 | no | — |
| 930 | C2×C4 | — | 6 | 3 | no | — |
| 931 | C2×C4 | — | 6 | 3 | no | — |
| 932 | C2×C4 | — | 6 | 1 | no | — |
| 933 | C2×C4 | — | 6 | 1 | no | — |
| 934 | C2×C4 | — | 6 | 1 | no | — |
| 935 | C2×C4 | — | 6 | 1 | no | — |
| 936 | C2×C4 | — | 6 | 1 | no | — |
| 937 | C2×C4 | — | 24 | 3 | no | — |
| 938 | C2×C4 | — | 24 | 3 | no | — |
| 939 | C2×C4 | — | 24 | 3 | no | — |
| 940 | C2×C4 | — | 48 | 3 | no | — |
| 941 | C2×C4 | — | 48 | 1 | no | — |
| 942 | C2×C4 | — | 48 | 3 | no | — |
| 943 | C2×C4 | — | 48 | 3 | no | — |
| 944 | C2×C4 | — | 48 | 3 | no | — |
| 945 | C2×C4 | — | 48 | 3 | no | — |
| 946 | C2×C4 | — | 48 | 3 | no | — |
| 947 | C2×C4 | — | 48 | 1 | no | — |
| 948 | C2×C4 | — | 96 | 3 | no | — |
| 949 | C2×C4 | C4⋊#1020 | 1 | 1 | yes | characteristic |
| 950 | C8 | — | 3 | 3 | no | — |
| 951 | C8 | — | 3 | 3 | no | — |
| 952 | C8 | — | 6 | 1 | no | — |
| 953 | C8 | — | 6 | 1 | no | — |
| 954 | C8 | C4×#1020 | 1 | 1 | yes | characteristic |
| 955 | C8 | #87524 | 1 | 1 | yes | characteristic |
| 956 | C2×C3 | — | 16 | 1 | no | — |
| 957 | C2×C3 | — | 32 | 1 | no | — |
| 958 | D3 | — | 128 | 1 | no | — |
| 959 | C22 | — | 3 | 3 | no | — |
| 960 | C22 | — | 3 | 3 | no | — |
| 961 | C22 | — | 4 | 3 | no | — |
| 962 | C22 | — | 6 | 1 | no | — |
| 963 | C22 | — | 6 | 1 | no | — |
| 964 | C22 | — | 12 | 3 | no | — |
| 965 | C22 | — | 12 | 3 | no | — |
| 966 | C22 | — | 12 | 3 | no | — |
| 967 | C22 | — | 12 | 1 | no | — |
| 968 | C22 | — | 12 | 3 | no | — |
| 969 | C22 | — | 12 | 3 | no | — |
| 970 | C22 | — | 24 | 1 | no | — |
| 971 | C22 | — | 24 | 3 | no | — |
| 972 | C22 | — | 48 | 3 | no | — |
| 973 | C22 | — | 48 | 3 | no | — |
| 974 | C22 | — | 48 | 1 | no | — |
| 975 | C22 | #11715730 | 1 | 1 | yes | characteristic |
| 976 | C4 | — | 3 | 3 | no | — |
| 977 | C4 | — | 3 | 3 | no | — |
| 978 | C4 | — | 6 | 1 | no | — |
| 979 | C4 | — | 6 | 1 | no | — |
| 980 | C4 | — | 48 | 3 | no | — |
| 981 | C4 | — | 48 | 3 | no | — |
| 982 | C4 | — | 48 | 1 | no | — |
| 983 | C4 | — | 96 | 1 | no | — |
| 984 | C4 | — | 96 | 3 | no | — |
| 985 | C4 | #11715572 | 1 | 1 | yes | characteristic |
| 986 | C4 | #11715729 | 1 | 1 | yes | characteristic |
| 987 | C3 | — | 16 | 1 | no | Sylow |
| 988 | C2 | — | 2 | 1 | no | — |
| 989 | C2 | — | 6 | 3 | no | — |
| 990 | C2 | — | 6 | 3 | no | — |
| 991 | C2 | — | 12 | 1 | no | — |
| 992 | C2 | — | 12 | 1 | no | — |
| 993 | C2 | — | 96 | 1 | no | — |
| 994 | C2 | #72341874 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #72341665 | C2 | semidirect |
| 4. #72227314 | C2 | semidirect |
| 6. #11715737 | C4 | semidirect |
| 7. #11715736 | C4 | semidirect |
| 13. #10585848 | D3 | semidirect |
| 122. C22×M32 | S4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72341689 | 2 |
| #72341665 | 2 |
| #72320753 | 3 |
| #72227314 | 2 |
| #11711601 | 4 |