Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
7210 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 7210 conjugacy classes of subgroups — too many to draw. Only its 108 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 | #11715667 | C2 | 1 | 3 | yes | maximal, complemented |
| 2 | C2×#85567 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #11710937 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #6370751 | — | 3 | 1 | no | maximal, Sylow |
| 5 | #87548 | C4 | 1 | 1 | yes | characteristic, complemented |
| 6 | #87547 | C4 | 1 | 3 | yes | complemented |
| 7 | C2×#5950 | C22 | 1 | 3 | yes | — |
| 8 | #85567 | C22 | 1 | 1 | yes | characteristic, complemented |
| 9 | #85567 | C22 | 1 | 3 | yes | complemented |
| 10 | #85541 | — | 4 | 2 | no | maximal |
| 11 | #85511 | — | 4 | 1 | no | maximal |
| 12 | #63103 | D3 | 1 | 1 | yes | characteristic |
| 13 | #60093 | — | 3 | 2 | no | — |
| 14 | #60086 | — | 3 | 2 | no | — |
| 15 | #60070 | — | 3 | 1 | no | — |
| 16 | #60065 | — | 3 | 1 | no | — |
| 17 | #20620 | — | 3 | 3 | no | — |
| 18 | #20620 | — | 3 | 6 | no | — |
| 19 | #20620 | — | 3 | 3 | no | — |
| 20 | C2×#1794 | — | 3 | 3 | no | — |
| 21 | C2×#1794 | — | 3 | 6 | no | — |
| 22 | C2×#1794 | — | 3 | 3 | no | — |
| 23 | #5950 | C2×C4 | 1 | 3 | yes | complemented |
| 24 | #5950 | C23 | 1 | 1 | yes | characteristic |
| 25 | C2×#997 | C2×C4 | 1 | 3 | yes | complemented |
| 26 | #5945 | — | 4 | 2 | no | — |
| 27 | A4×#41 | — | 4 | 1 | no | — |
| 28 | A4×#41 | — | 8 | 1 | no | — |
| 29 | #5423 | — | 4 | 6 | no | — |
| 30 | C2×GU(2,𝔽3) | — | 4 | 6 | no | — |
| 31 | #5409 | — | 4 | 3 | no | — |
| 32 | C2×A4⋊C8 | — | 4 | 3 | no | — |
| 33 | 2−1+6 | — | 3 | 6 | no | — |
| 34 | 2−1+6 | — | 3 | 1 | no | — |
| 35 | 2−1+6 | — | 6 | 1 | no | — |
| 36 | 2−1+6 | Dic3 | 1 | 1 | yes | characteristic |
| 37 | H(7,𝔽2) | — | 3 | 2 | no | — |
| 38 | H(7,𝔽2) | — | 3 | 3 | no | — |
| 39 | H(7,𝔽2) | — | 6 | 3 | no | — |
| 40 | H(7,𝔽2) | Dic3 | 1 | 3 | yes | — |
| 41 | C2×#585 | — | 3 | 1 | no | — |
| 42 | C2×#585 | — | 3 | 2 | no | — |
| 43 | C2×#585 | — | 3 | 3 | no | — |
| 44 | C2×#585 | — | 3 | 6 | no | — |
| 45 | C2×#585 | — | 6 | 1 | no | — |
| 46 | C2×#585 | — | 6 | 3 | no | — |
| 47 | C2×#585 | C2×D3 | 1 | 3 | yes | — |
| 48 | C2×#568 | — | 3 | 1 | no | — |
| 49 | C22×#131 | — | 3 | 1 | no | — |
| 50 | #3428 | — | 3 | 2 | no | — |
| 51 | #2901 | — | 6 | 6 | no | — |
| 52 | #2901 | — | 6 | 2 | no | — |
| 53 | #2901 | — | 6 | 6 | no | — |
| 54 | #2901 | — | 6 | 2 | no | — |
| 55 | C2×#421 | — | 3 | 6 | no | — |
| 56 | C2×#421 | — | 3 | 6 | no | — |
| 57 | C2×#421 | — | 3 | 6 | no | — |
| 58 | C2×#421 | — | 3 | 6 | no | — |
| 59 | #2898 | — | 6 | 2 | no | — |
| 60 | #2898 | — | 6 | 6 | no | — |
| 61 | #2897 | — | 6 | 6 | no | — |
| 62 | #2897 | — | 6 | 2 | no | — |
| 63 | #2896 | — | 3 | 6 | no | — |
| 64 | #2896 | — | 3 | 6 | no | — |
| 65 | C2×#416 | — | 3 | 6 | no | — |
| 66 | C2×#416 | — | 3 | 6 | no | — |
| 67 | #2884 | — | 6 | 1 | no | — |
| 68 | #2884 | — | 6 | 1 | no | — |
| 69 | #2883 | — | 6 | 3 | no | — |
| 70 | #2883 | — | 6 | 3 | no | — |
| 71 | C2×#410 | — | 3 | 6 | no | — |
| 72 | C2×#410 | — | 3 | 3 | no | — |
| 73 | C2×#410 | — | 3 | 3 | no | — |
| 74 | #2880 | — | 6 | 3 | no | — |
| 75 | #2880 | — | 6 | 1 | no | — |
| 76 | #2880 | — | 6 | 3 | no | — |
| 77 | #2880 | — | 6 | 1 | no | — |
| 78 | #2879 | — | 3 | 3 | no | — |
| 79 | #2879 | — | 3 | 3 | no | — |
| 80 | C2×#408 | — | 3 | 3 | no | — |
| 81 | C2×#408 | — | 3 | 3 | no | — |
| 82 | #1794 | — | 3 | 6 | no | — |
| 83 | #1794 | — | 3 | 3 | no | — |
| 84 | #1794 | — | 3 | 6 | no | — |
| 85 | #1794 | — | 3 | 12 | no | — |
| 86 | #1794 | — | 3 | 6 | no | — |
| 87 | #1794 | — | 3 | 6 | no | — |
| 88 | #1794 | — | 3 | 3 | no | — |
| 89 | #1794 | — | 3 | 6 | no | — |
| 90 | #1794 | — | 3 | 12 | no | — |
| 91 | #1794 | — | 3 | 1 | no | — |
| 92 | #1794 | — | 3 | 3 | no | — |
| 93 | #997 | C22×C4 | 1 | 1 | yes | characteristic |
| 94 | 2−1+4⋊C3 | — | 4 | 6 | no | — |
| 95 | #994 | — | 4 | 2 | no | — |
| 96 | C2×#41⋊C3 | — | 4 | 6 | no | — |
| 97 | Q8×A4 | — | 4 | 1 | no | — |
| 98 | Q8×A4 | — | 8 | 1 | no | — |
| 99 | D4×A4 | — | 4 | 3 | no | — |
| 100 | D4×A4 | — | 8 | 3 | no | — |
| 101 | C2×C4×A4 | — | 4 | 3 | no | — |
| 102 | C2×C4×A4 | — | 8 | 3 | no | — |
| 103 | #948 | — | 16 | 1 | no | — |
| 104 | GU(2,𝔽3) | — | 4 | 2 | no | — |
| 105 | GU(2,𝔽3) | — | 4 | 6 | no | — |
| 106 | A4⋊C8 | — | 4 | 1 | no | — |
| 107 | A4⋊C8 | — | 4 | 3 | no | — |
| 108 | #585 | — | 3 | 6 | no | — |
| 109 | #585 | — | 3 | 2 | no | — |
| 110 | #585 | — | 3 | 6 | no | — |
| 111 | #585 | — | 3 | 2 | no | — |
| 112 | #585 | — | 3 | 6 | no | — |
| 113 | #585 | — | 3 | 2 | no | — |
| 114 | #585 | — | 3 | 6 | no | — |
| 115 | #585 | — | 3 | 6 | no | — |
| 116 | #585 | — | 3 | 3 | no | — |
| 117 | #585 | — | 3 | 3 | no | — |
| 118 | #585 | — | 3 | 3 | no | — |
| 119 | #585 | — | 3 | 6 | no | — |
| 120 | #585 | — | 3 | 3 | no | — |
| 121 | #585 | — | 3 | 12 | no | — |
| 122 | #585 | — | 3 | 6 | no | — |
| 123 | #585 | — | 3 | 6 | no | — |
| 124 | #585 | — | 3 | 12 | no | — |
| 125 | #585 | — | 6 | 1 | no | — |
| 126 | #585 | — | 6 | 3 | no | — |
| 127 | #585 | — | 6 | 3 | no | — |
| 128 | #585 | — | 6 | 3 | no | — |
| 129 | #585 | — | 6 | 6 | no | — |
| 130 | #585 | — | 6 | 6 | no | — |
| 131 | #585 | — | 6 | 2 | no | — |
| 132 | #585 | — | 6 | 6 | no | — |
| 133 | #585 | — | 6 | 6 | no | — |
| 134 | #585 | — | 6 | 2 | no | — |
| 135 | #585 | — | 6 | 6 | no | — |
| 136 | #585 | — | 6 | 12 | no | — |
| 137 | #585 | — | 6 | 6 | no | — |
| 138 | #585 | — | 6 | 6 | no | — |
| 139 | #585 | — | 6 | 6 | no | — |
| 140 | #585 | — | 6 | 12 | no | — |
| 141 | #585 | — | 6 | 2 | no | — |
| 142 | #585 | — | 6 | 2 | no | — |
| 143 | #585 | — | 6 | 6 | no | — |
| 144 | #585 | — | 6 | 6 | no | — |
| 145 | #585 | — | 6 | 12 | no | — |
| 146 | #585 | — | 6 | 3 | no | — |
| 147 | #585 | — | 6 | 6 | no | — |
| 148 | #585 | — | 6 | 3 | no | — |
| 149 | #585 | — | 6 | 6 | no | — |
| 150 | #585 | — | 6 | 3 | no | — |
| 151 | #585 | — | 6 | 3 | no | — |
| 152 | #585 | — | 6 | 3 | no | — |
| 153 | #585 | — | 6 | 3 | no | — |
| 154 | #585 | — | 6 | 6 | no | — |
| 155 | #585 | — | 6 | 6 | no | — |
| 156 | #585 | — | 6 | 12 | no | — |
| 157 | #585 | — | 6 | 2 | no | — |
| 158 | #585 | — | 6 | 2 | no | — |
| 159 | #585 | — | 6 | 6 | no | — |
| 160 | #585 | C2×Dic3 | 1 | 3 | yes | — |
| 161 | #585 | S4 | 1 | 2 | yes | — |
| 162 | #585 | C22×D3 | 1 | 1 | yes | characteristic |
| 163 | C2×2−1+4 | — | 3 | 3 | no | — |
| 164 | C2×2−1+4 | — | 3 | 1 | no | — |
| 165 | C2×2−1+4 | — | 3 | 1 | no | — |
| 166 | C2×2−1+4 | — | 3 | 1 | no | — |
| 167 | C2×2−1+4 | — | 3 | 2 | no | — |
| 168 | C2×2−1+4 | — | 3 | 6 | no | — |
| 169 | C2×2−1+4 | — | 3 | 6 | no | — |
| 170 | C2×2−1+4 | — | 3 | 6 | no | — |
| 171 | C2×2−1+4 | — | 3 | 6 | no | — |
| 172 | C2×2−1+4 | — | 3 | 6 | no | — |
| 173 | C2×2−1+4 | — | 6 | 1 | no | — |
| 174 | C2×2−1+4 | — | 6 | 1 | no | — |
| 175 | C2×2−1+4 | — | 6 | 6 | no | — |
| 176 | C2×2−1+4 | — | 6 | 6 | no | — |
| 177 | C2×2−1+4 | — | 6 | 2 | no | — |
| 178 | C2×2−1+4 | — | 6 | 6 | no | — |
| 179 | C2×2−1+4 | — | 6 | 6 | no | — |
| 180 | C2×2−1+4 | — | 6 | 1 | no | — |
| 181 | C2×2−1+4 | — | 6 | 3 | no | — |
| 182 | C2×2−1+4 | — | 6 | 6 | no | — |
| 183 | C2×2−1+4 | — | 6 | 6 | no | — |
| 184 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 185 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 186 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 187 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 188 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 189 | C2×H(5,𝔽2) | — | 3 | 2 | no | — |
| 190 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 191 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 192 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 193 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 194 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 195 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 196 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 197 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 198 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 199 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 200 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 201 | C2×H(5,𝔽2) | — | 6 | 12 | no | — |
| 202 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 203 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 204 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 205 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 206 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 207 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 208 | C2×H(5,𝔽2) | — | 6 | 1 | no | — |
| 209 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 210 | C2×H(5,𝔽2) | — | 6 | 6 | no | — |
| 211 | C2×H(5,𝔽2) | C2×Dic3 | 1 | 3 | yes | — |
| 212 | C22×#41 | — | 2 | 1 | no | — |
| 213 | C22×#41 | — | 3 | 1 | no | — |
| 214 | C22×#41 | — | 3 | 3 | no | — |
| 215 | C22×#41 | — | 3 | 3 | no | — |
| 216 | C22×#41 | — | 3 | 1 | no | — |
| 217 | C22×#41 | — | 3 | 3 | no | — |
| 218 | C22×#41 | — | 3 | 3 | no | — |
| 219 | C22×#41 | — | 3 | 6 | no | — |
| 220 | C22×#41 | — | 3 | 6 | no | — |
| 221 | C22×#41 | — | 6 | 3 | no | — |
| 222 | C22×#41 | — | 6 | 3 | no | — |
| 223 | C22×#41 | — | 6 | 12 | no | — |
| 224 | C22×#41 | — | 6 | 3 | no | — |
| 225 | C22×#41 | — | 6 | 2 | no | — |
| 226 | C22×#41 | — | 6 | 1 | no | — |
| 227 | C22×#41 | — | 6 | 6 | no | — |
| 228 | C22×#41 | — | 6 | 3 | no | — |
| 229 | C22×#41 | — | 6 | 6 | no | — |
| 230 | C22×#41 | S4 | 1 | 1 | yes | characteristic |
| 231 | #568 | — | 6 | 6 | no | — |
| 232 | #568 | — | 6 | 2 | no | — |
| 233 | C2×#131 | — | 6 | 3 | no | — |
| 234 | C2×#131 | — | 6 | 1 | no | — |
| 235 | C2×#131 | — | 6 | 3 | no | — |
| 236 | C2×#131 | — | 6 | 1 | no | — |
| 237 | C2×#131 | — | 6 | 2 | no | — |
| 238 | C2×#131 | — | 6 | 6 | no | — |
| 239 | C22×M16 | — | 3 | 3 | no | — |
| 240 | C22×M16 | — | 3 | 3 | no | — |
| 241 | C22×M16 | — | 3 | 3 | no | — |
| 242 | C23×C8 | — | 3 | 3 | no | — |
| 243 | #520 | — | 6 | 2 | no | — |
| 244 | #520 | — | 6 | 6 | no | — |
| 245 | #519 | — | 6 | 2 | no | — |
| 246 | #518 | — | 6 | 6 | no | — |
| 247 | C4×#41 | — | 6 | 6 | no | — |
| 248 | C4×#41 | — | 6 | 2 | no | — |
| 249 | C2×#117 | — | 3 | 6 | no | — |
| 250 | C2×#117 | — | 3 | 6 | no | — |
| 251 | #421 | — | 3 | 12 | no | — |
| 252 | #421 | — | 3 | 6 | no | — |
| 253 | #421 | — | 3 | 6 | no | — |
| 254 | #421 | — | 3 | 6 | no | — |
| 255 | #421 | — | 3 | 2 | no | — |
| 256 | #421 | — | 6 | 6 | no | — |
| 257 | #421 | — | 6 | 12 | no | — |
| 258 | #421 | — | 6 | 6 | no | — |
| 259 | #421 | — | 6 | 6 | no | — |
| 260 | #421 | — | 6 | 6 | no | — |
| 261 | #421 | — | 6 | 6 | no | — |
| 262 | #421 | — | 6 | 6 | no | — |
| 263 | C2×#104 | — | 6 | 6 | no | — |
| 264 | C2×#104 | — | 6 | 6 | no | — |
| 265 | C2×#104 | — | 6 | 12 | no | — |
| 266 | C2×#104 | — | 6 | 6 | no | — |
| 267 | C2×#104 | — | 6 | 6 | no | — |
| 268 | C2×#104 | — | 6 | 6 | no | — |
| 269 | C2×#104 | — | 6 | 6 | no | — |
| 270 | #419 | — | 6 | 6 | no | — |
| 271 | #419 | — | 6 | 6 | no | — |
| 272 | #418 | — | 6 | 6 | no | — |
| 273 | #418 | — | 6 | 6 | no | — |
| 274 | #417 | — | 6 | 6 | no | — |
| 275 | #417 | — | 6 | 12 | no | — |
| 276 | #417 | — | 6 | 6 | no | — |
| 277 | #416 | — | 3 | 6 | no | — |
| 278 | #416 | — | 3 | 2 | no | — |
| 279 | #416 | — | 3 | 12 | no | — |
| 280 | #416 | — | 3 | 6 | no | — |
| 281 | #416 | — | 3 | 6 | no | — |
| 282 | #416 | — | 6 | 6 | no | — |
| 283 | #416 | — | 6 | 12 | no | — |
| 284 | #416 | — | 6 | 6 | no | — |
| 285 | C2×#103 | — | 6 | 6 | no | — |
| 286 | C2×#103 | — | 6 | 6 | no | — |
| 287 | C2×#102 | — | 6 | 6 | no | — |
| 288 | C2×#102 | — | 6 | 6 | no | — |
| 289 | #410 | — | 3 | 6 | no | — |
| 290 | #410 | — | 3 | 6 | no | — |
| 291 | #410 | — | 3 | 3 | no | — |
| 292 | #410 | — | 3 | 1 | no | — |
| 293 | #410 | — | 6 | 3 | no | — |
| 294 | #410 | — | 6 | 3 | no | — |
| 295 | #410 | — | 6 | 6 | no | — |
| 296 | #410 | — | 6 | 6 | no | — |
| 297 | #410 | — | 6 | 3 | no | — |
| 298 | #410 | — | 6 | 3 | no | — |
| 299 | C2×#99 | — | 6 | 3 | no | — |
| 300 | C2×#99 | — | 6 | 3 | no | — |
| 301 | C2×#99 | — | 6 | 12 | no | — |
| 302 | C2×#99 | — | 6 | 3 | no | — |
| 303 | C2×#99 | — | 6 | 3 | no | — |
| 304 | #408 | — | 3 | 3 | no | — |
| 305 | #408 | — | 3 | 1 | no | — |
| 306 | #408 | — | 3 | 6 | no | — |
| 307 | #408 | — | 3 | 3 | no | — |
| 308 | #408 | — | 3 | 3 | no | — |
| 309 | #408 | — | 6 | 3 | no | — |
| 310 | #408 | — | 6 | 3 | no | — |
| 311 | #408 | — | 6 | 3 | no | — |
| 312 | #408 | — | 6 | 3 | no | — |
| 313 | #408 | — | 6 | 3 | no | — |
| 314 | #408 | — | 6 | 3 | no | — |
| 315 | #408 | — | 6 | 3 | no | — |
| 316 | #408 | — | 6 | 3 | no | — |
| 317 | #407 | — | 6 | 6 | no | — |
| 318 | #407 | — | 6 | 3 | no | — |
| 319 | #407 | — | 6 | 3 | no | — |
| 320 | C2×C22⋊C8 | — | 6 | 6 | no | — |
| 321 | C2×C22⋊C8 | — | 6 | 3 | no | — |
| 322 | C2×C22⋊C8 | — | 6 | 3 | no | — |
| 323 | C22×A4 | — | 4 | 3 | no | — |
| 324 | C22×A4 | — | 8 | 3 | no | — |
| 325 | C3×#41 | — | 16 | 1 | no | — |
| 326 | #41⋊C3 | — | 4 | 6 | no | — |
| 327 | #41⋊C3 | — | 4 | 2 | no | — |
| 328 | C2×SL(2,𝔽3) | — | 4 | 6 | no | — |
| 329 | C4×A4 | — | 4 | 3 | no | — |
| 330 | C4×A4 | — | 4 | 1 | no | — |
| 331 | C4×A4 | — | 8 | 3 | no | — |
| 332 | C4×A4 | — | 8 | 1 | no | — |
| 333 | #208 | — | 16 | 3 | no | — |
| 334 | C2×C3⋊C8 | — | 16 | 3 | no | — |
| 335 | 2−1+4 | — | 3 | 2 | no | — |
| 336 | 2−1+4 | — | 3 | 6 | no | — |
| 337 | 2−1+4 | — | 3 | 6 | no | — |
| 338 | 2−1+4 | — | 3 | 6 | no | — |
| 339 | 2−1+4 | — | 3 | 12 | no | — |
| 340 | 2−1+4 | — | 3 | 6 | no | — |
| 341 | 2−1+4 | — | 3 | 2 | no | — |
| 342 | 2−1+4 | — | 3 | 6 | no | — |
| 343 | 2−1+4 | — | 3 | 12 | no | — |
| 344 | 2−1+4 | — | 3 | 6 | no | — |
| 345 | 2−1+4 | — | 3 | 2 | no | — |
| 346 | 2−1+4 | — | 3 | 6 | no | — |
| 347 | 2−1+4 | — | 3 | 6 | no | — |
| 348 | 2−1+4 | — | 3 | 6 | no | — |
| 349 | 2−1+4 | — | 3 | 6 | no | — |
| 350 | 2−1+4 | — | 6 | 6 | no | — |
| 351 | 2−1+4 | — | 6 | 6 | no | — |
| 352 | 2−1+4 | — | 6 | 2 | no | — |
| 353 | 2−1+4 | — | 6 | 6 | no | — |
| 354 | 2−1+4 | — | 6 | 6 | no | — |
| 355 | 2−1+4 | — | 6 | 6 | no | — |
| 356 | 2−1+4 | — | 6 | 6 | no | — |
| 357 | 2−1+4 | — | 6 | 6 | no | — |
| 358 | 2−1+4 | — | 6 | 2 | no | — |
| 359 | 2−1+4 | — | 6 | 6 | no | — |
| 360 | 2−1+4 | — | 6 | 6 | no | — |
| 361 | 2−1+4 | — | 6 | 2 | no | — |
| 362 | 2−1+4 | — | 6 | 6 | no | — |
| 363 | 2−1+4 | — | 6 | 6 | no | — |
| 364 | 2−1+4 | — | 6 | 6 | no | — |
| 365 | 2−1+4 | — | 6 | 6 | no | — |
| 366 | 2−1+4 | — | 6 | 6 | no | — |
| 367 | 2−1+4 | — | 6 | 6 | no | — |
| 368 | 2−1+4 | — | 6 | 6 | no | — |
| 369 | 2−1+4 | — | 6 | 6 | no | — |
| 370 | 2−1+4 | — | 6 | 6 | no | — |
| 371 | 2−1+4 | — | 6 | 2 | no | — |
| 372 | 2−1+4 | — | 6 | 12 | no | — |
| 373 | 2−1+4 | — | 6 | 6 | no | — |
| 374 | 2−1+4 | — | 6 | 12 | no | — |
| 375 | 2−1+4 | — | 6 | 12 | no | — |
| 376 | 2−1+4 | — | 6 | 6 | no | — |
| 377 | 2−1+4 | — | 6 | 12 | no | — |
| 378 | 2−1+4 | — | 6 | 6 | no | — |
| 379 | 2−1+4 | — | 6 | 12 | no | — |
| 380 | 2−1+4 | — | 6 | 12 | no | — |
| 381 | 2−1+4 | — | 6 | 6 | no | — |
| 382 | 2−1+4 | — | 6 | 6 | no | — |
| 383 | 2−1+4 | — | 6 | 6 | no | — |
| 384 | 2−1+4 | — | 6 | 12 | no | — |
| 385 | 2−1+4 | — | 6 | 6 | no | — |
| 386 | 2−1+4 | — | 6 | 6 | no | — |
| 387 | 2−1+4 | — | 6 | 6 | no | — |
| 388 | 2−1+4 | — | 6 | 6 | no | — |
| 389 | 2−1+4 | — | 6 | 6 | no | — |
| 390 | 2−1+4 | — | 6 | 12 | no | — |
| 391 | 2−1+4 | — | 6 | 6 | no | — |
| 392 | 2−1+4 | — | 6 | 6 | no | — |
| 393 | 2−1+4 | SL(2,ℤ/4) | 1 | 6 | yes | — |
| 394 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 395 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 396 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 397 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 398 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 399 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 400 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 401 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 402 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 403 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 404 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 405 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 406 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 407 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 408 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 409 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 410 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 411 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 412 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 413 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 414 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 415 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 416 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 417 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 418 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 419 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 420 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 421 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 422 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 423 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 424 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 425 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 426 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 427 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 428 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 429 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 430 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 431 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 432 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 433 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 434 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 435 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 436 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 437 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 438 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 439 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 440 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 441 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 442 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 443 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 444 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 445 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 446 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 447 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 448 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 449 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 450 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 451 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 452 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 453 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 454 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 455 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 456 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 457 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 458 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 459 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 460 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 461 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 462 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 463 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 464 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 465 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 466 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 467 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 468 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 469 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 470 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 471 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 472 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 473 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 474 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 475 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 476 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 477 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 478 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 479 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 480 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 481 | H(5,𝔽2) | SL(2,ℤ/4) | 1 | 2 | yes | — |
| 482 | H(5,𝔽2) | C22×Dic3 | 1 | 1 | yes | characteristic |
| 483 | C2×#41 | — | 3 | 6 | no | — |
| 484 | C2×#41 | — | 3 | 2 | no | — |
| 485 | C2×#41 | — | 3 | 6 | no | — |
| 486 | C2×#41 | — | 3 | 3 | no | — |
| 487 | C2×#41 | — | 3 | 1 | no | — |
| 488 | C2×#41 | — | 3 | 3 | no | — |
| 489 | C2×#41 | — | 3 | 2 | no | — |
| 490 | C2×#41 | — | 3 | 1 | no | — |
| 491 | C2×#41 | — | 3 | 3 | no | — |
| 492 | C2×#41 | — | 3 | 3 | no | — |
| 493 | C2×#41 | — | 3 | 1 | no | — |
| 494 | C2×#41 | — | 3 | 3 | no | — |
| 495 | C2×#41 | — | 3 | 3 | no | — |
| 496 | C2×#41 | — | 3 | 3 | no | — |
| 497 | C2×#41 | — | 3 | 3 | no | — |
| 498 | C2×#41 | — | 3 | 6 | no | — |
| 499 | C2×#41 | — | 3 | 6 | no | — |
| 500 | C2×#41 | — | 3 | 6 | no | — |
| 501 | C2×#41 | — | 3 | 3 | no | — |
| 502 | C2×#41 | — | 3 | 3 | no | — |
| 503 | C2×#41 | — | 3 | 3 | no | — |
| 504 | C2×#41 | — | 3 | 1 | no | — |
| 505 | C2×#41 | — | 3 | 3 | no | — |
| 506 | C2×#41 | — | 3 | 3 | no | — |
| 507 | C2×#41 | — | 3 | 3 | no | — |
| 508 | C2×#41 | — | 3 | 3 | no | — |
| 509 | C2×#41 | — | 3 | 3 | no | — |
| 510 | C2×#41 | — | 3 | 3 | no | — |
| 511 | C2×#41 | — | 3 | 3 | no | — |
| 512 | C2×#41 | — | 3 | 1 | no | — |
| 513 | C2×#41 | — | 3 | 3 | no | — |
| 514 | C2×#41 | — | 3 | 6 | no | — |
| 515 | C2×#41 | — | 3 | 6 | no | — |
| 516 | C2×#41 | — | 3 | 12 | no | — |
| 517 | C2×#41 | — | 3 | 6 | no | — |
| 518 | C2×#41 | — | 3 | 6 | no | — |
| 519 | C2×#41 | — | 3 | 6 | no | — |
| 520 | C2×#41 | — | 3 | 6 | no | — |
| 521 | C2×#41 | — | 3 | 6 | no | — |
| 522 | C2×#41 | — | 3 | 6 | no | — |
| 523 | C2×#41 | — | 3 | 12 | no | — |
| 524 | C2×#41 | — | 3 | 6 | no | — |
| 525 | C2×#41 | — | 3 | 6 | no | — |
| 526 | C2×#41 | — | 3 | 12 | no | — |
| 527 | C2×#41 | — | 3 | 6 | no | — |
| 528 | C2×#41 | — | 3 | 6 | no | — |
| 529 | C2×#41 | — | 3 | 2 | no | — |
| 530 | C2×#41 | — | 3 | 6 | no | — |
| 531 | C2×#41 | — | 3 | 6 | no | — |
| 532 | C2×#41 | — | 6 | 1 | no | — |
| 533 | C2×#41 | — | 6 | 3 | no | — |
| 534 | C2×#41 | — | 6 | 3 | no | — |
| 535 | C2×#41 | — | 6 | 3 | no | — |
| 536 | C2×#41 | — | 6 | 3 | no | — |
| 537 | C2×#41 | — | 6 | 3 | no | — |
| 538 | C2×#41 | — | 6 | 6 | no | — |
| 539 | C2×#41 | — | 6 | 6 | no | — |
| 540 | C2×#41 | — | 6 | 6 | no | — |
| 541 | C2×#41 | — | 6 | 6 | no | — |
| 542 | C2×#41 | — | 6 | 6 | no | — |
| 543 | C2×#41 | — | 6 | 6 | no | — |
| 544 | C2×#41 | — | 6 | 12 | no | — |
| 545 | C2×#41 | — | 6 | 6 | no | — |
| 546 | C2×#41 | — | 6 | 6 | no | — |
| 547 | C2×#41 | — | 6 | 6 | no | — |
| 548 | C2×#41 | — | 6 | 6 | no | — |
| 549 | C2×#41 | — | 6 | 6 | no | — |
| 550 | C2×#41 | — | 6 | 6 | no | — |
| 551 | C2×#41 | — | 6 | 6 | no | — |
| 552 | C2×#41 | — | 6 | 6 | no | — |
| 553 | C2×#41 | — | 6 | 6 | no | — |
| 554 | C2×#41 | — | 6 | 6 | no | — |
| 555 | C2×#41 | — | 6 | 6 | no | — |
| 556 | C2×#41 | — | 6 | 12 | no | — |
| 557 | C2×#41 | — | 6 | 6 | no | — |
| 558 | C2×#41 | — | 6 | 12 | no | — |
| 559 | C2×#41 | — | 6 | 6 | no | — |
| 560 | C2×#41 | — | 6 | 6 | no | — |
| 561 | C2×#41 | — | 6 | 6 | no | — |
| 562 | C2×#41 | — | 6 | 6 | no | — |
| 563 | C2×#41 | — | 6 | 6 | no | — |
| 564 | C2×#41 | — | 6 | 6 | no | — |
| 565 | C2×#41 | — | 6 | 6 | no | — |
| 566 | C2×#41 | — | 6 | 3 | no | — |
| 567 | C2×#41 | — | 6 | 6 | no | — |
| 568 | C2×#41 | — | 6 | 12 | no | — |
| 569 | C2×#41 | — | 6 | 6 | no | — |
| 570 | C2×#41 | — | 6 | 3 | no | — |
| 571 | C2×#41 | — | 6 | 12 | no | — |
| 572 | C2×#41 | — | 6 | 12 | no | — |
| 573 | C2×#41 | — | 6 | 3 | no | — |
| 574 | C2×#41 | — | 6 | 6 | no | — |
| 575 | C2×#41 | — | 6 | 3 | no | — |
| 576 | C2×#41 | — | 6 | 6 | no | — |
| 577 | C2×#41 | — | 6 | 6 | no | — |
| 578 | C2×#41 | — | 6 | 12 | no | — |
| 579 | C2×#41 | — | 6 | 6 | no | — |
| 580 | C2×#41 | — | 6 | 6 | no | — |
| 581 | C2×#41 | — | 6 | 6 | no | — |
| 582 | C2×#41 | — | 6 | 12 | no | — |
| 583 | C2×#41 | — | 6 | 6 | no | — |
| 584 | C2×#41 | — | 6 | 6 | no | — |
| 585 | C2×#41 | — | 6 | 6 | no | — |
| 586 | C2×#41 | — | 6 | 2 | no | — |
| 587 | C2×#41 | — | 6 | 6 | no | — |
| 588 | C2×#41 | — | 6 | 6 | no | — |
| 589 | C2×#41 | — | 6 | 6 | no | — |
| 590 | C2×#41 | — | 6 | 6 | no | — |
| 591 | C2×#41 | — | 6 | 6 | no | — |
| 592 | C2×#41 | — | 6 | 12 | no | — |
| 593 | C2×#41 | — | 6 | 3 | no | — |
| 594 | C2×#41 | — | 6 | 3 | no | — |
| 595 | C2×#41 | — | 6 | 1 | no | — |
| 596 | C2×#41 | — | 6 | 3 | no | — |
| 597 | C2×#41 | — | 6 | 3 | no | — |
| 598 | C2×#41 | — | 6 | 12 | no | — |
| 599 | C2×#41 | — | 6 | 6 | no | — |
| 600 | C2×#41 | — | 6 | 6 | no | — |
| 601 | C2×#41 | — | 6 | 3 | no | — |
| 602 | C2×#41 | — | 6 | 6 | no | — |
| 603 | C2×#41 | — | 6 | 6 | no | — |
| 604 | C2×#41 | — | 6 | 1 | no | — |
| 605 | C2×#41 | — | 6 | 3 | no | — |
| 606 | C2×#41 | — | 6 | 12 | no | — |
| 607 | C2×#41 | — | 6 | 12 | no | — |
| 608 | C2×#41 | — | 6 | 6 | no | — |
| 609 | C2×#41 | — | 6 | 6 | no | — |
| 610 | C2×#41 | — | 6 | 6 | no | — |
| 611 | C2×#41 | — | 6 | 6 | no | — |
| 612 | C2×#41 | — | 6 | 6 | no | — |
| 613 | C2×#41 | — | 6 | 12 | no | — |
| 614 | C2×#41 | — | 6 | 12 | no | — |
| 615 | C2×#41 | — | 6 | 12 | no | — |
| 616 | C2×#41 | — | 6 | 12 | no | — |
| 617 | C2×#41 | — | 6 | 12 | no | — |
| 618 | C2×#41 | — | 6 | 12 | no | — |
| 619 | C2×#41 | — | 6 | 12 | no | — |
| 620 | C2×#41 | — | 6 | 3 | no | — |
| 621 | C2×#41 | — | 6 | 3 | no | — |
| 622 | C2×#41 | — | 6 | 1 | no | — |
| 623 | C2×#41 | — | 6 | 6 | no | — |
| 624 | C2×#41 | — | 6 | 12 | no | — |
| 625 | C2×#41 | — | 6 | 3 | no | — |
| 626 | C2×#41 | — | 6 | 3 | no | — |
| 627 | C2×#41 | — | 6 | 12 | no | — |
| 628 | C2×#41 | — | 6 | 12 | no | — |
| 629 | C2×#41 | — | 6 | 12 | no | — |
| 630 | C2×#41 | — | 6 | 6 | no | — |
| 631 | C2×#41 | — | 6 | 6 | no | — |
| 632 | C2×#41 | — | 6 | 6 | no | — |
| 633 | C2×#41 | — | 6 | 12 | no | — |
| 634 | C2×#41 | — | 6 | 12 | no | — |
| 635 | C2×#41 | — | 6 | 12 | no | — |
| 636 | C2×#41 | — | 6 | 12 | no | — |
| 637 | C2×#41 | — | 6 | 6 | no | — |
| 638 | C2×#41 | — | 6 | 6 | no | — |
| 639 | C2×#41 | — | 6 | 6 | no | — |
| 640 | C2×#41 | — | 6 | 1 | no | — |
| 641 | C2×#41 | C2×S4 | 1 | 6 | yes | — |
| 642 | C22×Q8 | — | 2 | 1 | no | — |
| 643 | C22×Q8 | — | 3 | 1 | no | — |
| 644 | C22×Q8 | — | 3 | 3 | no | — |
| 645 | C22×Q8 | — | 3 | 3 | no | — |
| 646 | C22×Q8 | — | 3 | 3 | no | — |
| 647 | C22×Q8 | — | 3 | 3 | no | — |
| 648 | C22×Q8 | — | 3 | 1 | no | — |
| 649 | C22×Q8 | — | 3 | 6 | no | — |
| 650 | C22×Q8 | — | 3 | 6 | no | — |
| 651 | C22×Q8 | — | 6 | 2 | no | — |
| 652 | C22×Q8 | — | 6 | 1 | no | — |
| 653 | C22×Q8 | — | 6 | 3 | no | — |
| 654 | C22×Q8 | — | 6 | 6 | no | — |
| 655 | C22×Q8 | — | 6 | 3 | no | — |
| 656 | C22×Q8 | — | 6 | 12 | no | — |
| 657 | C22×Q8 | — | 6 | 6 | no | — |
| 658 | C22×Q8 | — | 6 | 3 | no | — |
| 659 | C22×Q8 | — | 6 | 3 | no | — |
| 660 | C22×Q8 | SL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 661 | C22×D4 | — | 2 | 3 | no | — |
| 662 | C22×D4 | — | 3 | 3 | no | — |
| 663 | C22×D4 | — | 3 | 6 | no | — |
| 664 | C22×D4 | — | 3 | 6 | no | — |
| 665 | C22×D4 | — | 3 | 3 | no | — |
| 666 | C22×D4 | — | 3 | 3 | no | — |
| 667 | C22×D4 | — | 3 | 3 | no | — |
| 668 | C22×D4 | — | 3 | 6 | no | — |
| 669 | C22×D4 | — | 3 | 3 | no | — |
| 670 | C22×D4 | — | 3 | 3 | no | — |
| 671 | C22×D4 | — | 3 | 6 | no | — |
| 672 | C22×D4 | — | 3 | 3 | no | — |
| 673 | C22×D4 | — | 3 | 6 | no | — |
| 674 | C22×D4 | — | 3 | 3 | no | — |
| 675 | C22×D4 | — | 6 | 3 | no | — |
| 676 | C22×D4 | — | 6 | 6 | no | — |
| 677 | C22×D4 | — | 6 | 3 | no | — |
| 678 | C22×D4 | — | 6 | 3 | no | — |
| 679 | C22×D4 | — | 6 | 6 | no | — |
| 680 | C22×D4 | — | 6 | 12 | no | — |
| 681 | C22×D4 | — | 6 | 12 | no | — |
| 682 | C22×D4 | — | 6 | 6 | no | — |
| 683 | C22×D4 | — | 6 | 6 | no | — |
| 684 | C22×D4 | — | 6 | 3 | no | — |
| 685 | C22×D4 | — | 6 | 6 | no | — |
| 686 | C22×D4 | — | 6 | 6 | no | — |
| 687 | C22×D4 | — | 6 | 6 | no | — |
| 688 | C22×D4 | — | 6 | 12 | no | — |
| 689 | C22×D4 | — | 6 | 3 | no | — |
| 690 | C22×D4 | — | 6 | 3 | no | — |
| 691 | C22×D4 | — | 6 | 12 | no | — |
| 692 | C22×D4 | — | 6 | 6 | no | — |
| 693 | C22×D4 | — | 6 | 12 | no | — |
| 694 | C22×D4 | — | 6 | 3 | no | — |
| 695 | C22×D4 | SL(2,ℤ/4) | 1 | 3 | yes | — |
| 696 | C23×C4 | — | 2 | 3 | no | — |
| 697 | C23×C4 | — | 3 | 3 | no | — |
| 698 | C23×C4 | — | 3 | 6 | no | — |
| 699 | C23×C4 | — | 3 | 3 | no | — |
| 700 | C23×C4 | — | 6 | 3 | no | — |
| 701 | C23×C4 | — | 6 | 6 | no | — |
| 702 | C23×C4 | — | 6 | 6 | no | — |
| 703 | C23×C4 | C2×S4 | 1 | 3 | yes | — |
| 704 | #131 | — | 12 | 6 | no | — |
| 705 | #131 | — | 12 | 6 | no | — |
| 706 | #131 | — | 12 | 1 | no | — |
| 707 | #131 | — | 12 | 3 | no | — |
| 708 | #131 | — | 12 | 6 | no | — |
| 709 | #131 | — | 12 | 3 | no | — |
| 710 | #131 | — | 12 | 6 | no | — |
| 711 | #131 | — | 12 | 1 | no | — |
| 712 | C2×M16 | — | 3 | 3 | no | — |
| 713 | C2×M16 | — | 3 | 1 | no | — |
| 714 | C2×M16 | — | 6 | 3 | no | — |
| 715 | C2×M16 | — | 6 | 3 | no | — |
| 716 | C2×M16 | — | 6 | 3 | no | — |
| 717 | C2×M16 | — | 6 | 3 | no | — |
| 718 | C2×M16 | — | 6 | 6 | no | — |
| 719 | C2×M16 | — | 6 | 6 | no | — |
| 720 | C2×M16 | — | 6 | 6 | no | — |
| 721 | C2×M16 | — | 6 | 6 | no | — |
| 722 | C2×M16 | — | 6 | 6 | no | — |
| 723 | C2×M16 | — | 6 | 6 | no | — |
| 724 | C22×C8 | — | 3 | 1 | no | — |
| 725 | C22×C8 | — | 3 | 3 | no | — |
| 726 | C22×C8 | — | 6 | 3 | no | — |
| 727 | C22×C8 | — | 6 | 3 | no | — |
| 728 | C22×C8 | — | 6 | 6 | no | — |
| 729 | C22×C8 | — | 6 | 6 | no | — |
| 730 | C22×C8 | — | 6 | 3 | no | — |
| 731 | C22×C8 | — | 6 | 3 | no | — |
| 732 | C4×Q8 | — | 12 | 6 | no | — |
| 733 | C4×Q8 | — | 12 | 2 | no | — |
| 734 | C4×D4 | — | 12 | 12 | no | — |
| 735 | C4×D4 | — | 12 | 6 | no | — |
| 736 | C4×D4 | — | 12 | 6 | no | — |
| 737 | #117 | — | 3 | 6 | no | — |
| 738 | #117 | — | 3 | 2 | no | — |
| 739 | #117 | — | 6 | 6 | no | — |
| 740 | #117 | — | 6 | 6 | no | — |
| 741 | #117 | — | 6 | 6 | no | — |
| 742 | #117 | — | 6 | 6 | no | — |
| 743 | #117 | — | 6 | 6 | no | — |
| 744 | #117 | — | 6 | 6 | no | — |
| 745 | C2×C4⋊C4 | — | 6 | 6 | no | — |
| 746 | C2×C4⋊C4 | — | 6 | 6 | no | — |
| 747 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 748 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 749 | C2×C42 | — | 6 | 6 | no | — |
| 750 | C2×C42 | — | 6 | 6 | no | — |
| 751 | #104 | — | 6 | 12 | no | — |
| 752 | #104 | — | 6 | 6 | no | — |
| 753 | #104 | — | 6 | 6 | no | — |
| 754 | #104 | — | 6 | 6 | no | — |
| 755 | #104 | — | 6 | 2 | no | — |
| 756 | #104 | — | 6 | 6 | no | — |
| 757 | #104 | — | 6 | 6 | no | — |
| 758 | #104 | — | 6 | 12 | no | — |
| 759 | #104 | — | 6 | 2 | no | — |
| 760 | #104 | — | 6 | 6 | no | — |
| 761 | #103 | — | 6 | 6 | no | — |
| 762 | #103 | — | 6 | 2 | no | — |
| 763 | #103 | — | 6 | 12 | no | — |
| 764 | #103 | — | 6 | 6 | no | — |
| 765 | #103 | — | 6 | 6 | no | — |
| 766 | #102 | — | 6 | 6 | no | — |
| 767 | #102 | — | 6 | 2 | no | — |
| 768 | #102 | — | 6 | 12 | no | — |
| 769 | #102 | — | 6 | 6 | no | — |
| 770 | #102 | — | 6 | 6 | no | — |
| 771 | #99 | — | 6 | 6 | no | — |
| 772 | #99 | — | 6 | 6 | no | — |
| 773 | #99 | — | 6 | 3 | no | — |
| 774 | #99 | — | 6 | 1 | no | — |
| 775 | #99 | — | 6 | 6 | no | — |
| 776 | #99 | — | 6 | 6 | no | — |
| 777 | #99 | — | 6 | 3 | no | — |
| 778 | #99 | — | 6 | 1 | no | — |
| 779 | C22⋊C8 | — | 6 | 3 | no | — |
| 780 | C22⋊C8 | — | 6 | 3 | no | — |
| 781 | C22⋊C8 | — | 6 | 1 | no | — |
| 782 | C22⋊C8 | — | 6 | 6 | no | — |
| 783 | C22⋊C8 | — | 6 | 3 | no | — |
| 784 | C22⋊C8 | — | 6 | 3 | no | — |
| 785 | C22⋊C8 | — | 6 | 6 | no | — |
| 786 | C22⋊C8 | — | 6 | 3 | no | — |
| 787 | C22⋊C8 | — | 6 | 1 | no | — |
| 788 | C22⋊C8 | — | 6 | 3 | no | — |
| 789 | C2×A4 | — | 4 | 1 | no | — |
| 790 | C2×A4 | — | 8 | 1 | no | — |
| 791 | C2×A4 | — | 8 | 3 | no | — |
| 792 | C2×A4 | — | 16 | 3 | no | — |
| 793 | C3×Q8 | — | 16 | 1 | no | — |
| 794 | C3×D4 | — | 16 | 3 | no | — |
| 795 | C2×C3×C4 | — | 16 | 3 | no | — |
| 796 | SL(2,𝔽3) | — | 4 | 2 | no | — |
| 797 | C3⋊C8 | — | 16 | 1 | no | — |
| 798 | C3⋊C8 | — | 16 | 3 | no | — |
| 799 | C24 | — | 2 | 3 | no | — |
| 800 | C24 | — | 3 | 3 | no | — |
| 801 | C24 | — | 3 | 6 | no | — |
| 802 | C24 | — | 3 | 3 | no | — |
| 803 | C24 | — | 6 | 3 | no | — |
| 804 | C24 | — | 6 | 6 | no | — |
| 805 | C24 | — | 6 | 6 | no | — |
| 806 | C24 | C2×SL(2,ℤ/4) | 1 | 3 | yes | — |
| 807 | #41 | — | 3 | 6 | no | — |
| 808 | #41 | — | 3 | 6 | no | — |
| 809 | #41 | — | 3 | 6 | no | — |
| 810 | #41 | — | 3 | 12 | no | — |
| 811 | #41 | — | 3 | 6 | no | — |
| 812 | #41 | — | 3 | 6 | no | — |
| 813 | #41 | — | 3 | 1 | no | — |
| 814 | #41 | — | 3 | 2 | no | — |
| 815 | #41 | — | 3 | 3 | no | — |
| 816 | #41 | — | 3 | 6 | no | — |
| 817 | #41 | — | 3 | 3 | no | — |
| 818 | #41 | — | 3 | 6 | no | — |
| 819 | #41 | — | 3 | 6 | no | — |
| 820 | #41 | — | 3 | 6 | no | — |
| 821 | #41 | — | 3 | 12 | no | — |
| 822 | #41 | — | 3 | 2 | no | — |
| 823 | #41 | — | 3 | 6 | no | — |
| 824 | #41 | — | 3 | 6 | no | — |
| 825 | #41 | — | 3 | 6 | no | — |
| 826 | #41 | — | 3 | 2 | no | — |
| 827 | #41 | — | 3 | 12 | no | — |
| 828 | #41 | — | 3 | 6 | no | — |
| 829 | #41 | — | 3 | 12 | no | — |
| 830 | #41 | — | 3 | 6 | no | — |
| 831 | #41 | — | 3 | 6 | no | — |
| 832 | #41 | — | 3 | 12 | no | — |
| 833 | #41 | — | 3 | 6 | no | — |
| 834 | #41 | — | 3 | 6 | no | — |
| 835 | #41 | — | 3 | 2 | no | — |
| 836 | #41 | — | 3 | 6 | no | — |
| 837 | #41 | — | 6 | 1 | no | — |
| 838 | #41 | — | 6 | 2 | no | — |
| 839 | #41 | — | 6 | 6 | no | — |
| 840 | #41 | — | 6 | 6 | no | — |
| 841 | #41 | — | 6 | 6 | no | — |
| 842 | #41 | — | 6 | 6 | no | — |
| 843 | #41 | — | 6 | 6 | no | — |
| 844 | #41 | — | 6 | 6 | no | — |
| 845 | #41 | — | 6 | 6 | no | — |
| 846 | #41 | — | 6 | 6 | no | — |
| 847 | #41 | — | 6 | 6 | no | — |
| 848 | #41 | — | 6 | 2 | no | — |
| 849 | #41 | — | 6 | 6 | no | — |
| 850 | #41 | — | 6 | 6 | no | — |
| 851 | #41 | — | 6 | 3 | no | — |
| 852 | #41 | — | 6 | 3 | no | — |
| 853 | #41 | — | 6 | 6 | no | — |
| 854 | #41 | — | 6 | 12 | no | — |
| 855 | #41 | — | 6 | 6 | no | — |
| 856 | #41 | — | 6 | 6 | no | — |
| 857 | #41 | — | 6 | 2 | no | — |
| 858 | #41 | — | 6 | 6 | no | — |
| 859 | #41 | — | 6 | 6 | no | — |
| 860 | #41 | — | 6 | 12 | no | — |
| 861 | #41 | — | 6 | 12 | no | — |
| 862 | #41 | — | 6 | 6 | no | — |
| 863 | #41 | — | 6 | 6 | no | — |
| 864 | #41 | — | 6 | 6 | no | — |
| 865 | #41 | — | 6 | 6 | no | — |
| 866 | #41 | — | 6 | 6 | no | — |
| 867 | #41 | — | 6 | 6 | no | — |
| 868 | #41 | — | 6 | 6 | no | — |
| 869 | #41 | — | 6 | 6 | no | — |
| 870 | #41 | — | 6 | 6 | no | — |
| 871 | #41 | — | 6 | 2 | no | — |
| 872 | #41 | — | 6 | 6 | no | — |
| 873 | #41 | — | 6 | 3 | no | — |
| 874 | #41 | — | 6 | 6 | no | — |
| 875 | #41 | — | 6 | 6 | no | — |
| 876 | #41 | — | 6 | 6 | no | — |
| 877 | #41 | — | 6 | 12 | no | — |
| 878 | #41 | — | 6 | 6 | no | — |
| 879 | #41 | — | 6 | 6 | no | — |
| 880 | #41 | — | 6 | 6 | no | — |
| 881 | #41 | — | 6 | 6 | no | — |
| 882 | #41 | — | 6 | 6 | no | — |
| 883 | #41 | — | 6 | 12 | no | — |
| 884 | #41 | — | 6 | 6 | no | — |
| 885 | #41 | — | 6 | 12 | no | — |
| 886 | #41 | — | 6 | 6 | no | — |
| 887 | #41 | — | 6 | 6 | no | — |
| 888 | #41 | — | 6 | 12 | no | — |
| 889 | #41 | — | 6 | 6 | no | — |
| 890 | #41 | — | 6 | 6 | no | — |
| 891 | #41 | — | 6 | 3 | no | — |
| 892 | #41 | — | 6 | 6 | no | — |
| 893 | #41 | — | 6 | 6 | no | — |
| 894 | #41 | — | 6 | 3 | no | — |
| 895 | #41 | — | 6 | 6 | no | — |
| 896 | #41 | — | 6 | 6 | no | — |
| 897 | #41 | — | 6 | 6 | no | — |
| 898 | #41 | — | 6 | 6 | no | — |
| 899 | #41 | — | 6 | 12 | no | — |
| 900 | #41 | — | 6 | 12 | no | — |
| 901 | #41 | — | 6 | 6 | no | — |
| 902 | #41 | — | 6 | 6 | no | — |
| 903 | #41 | — | 6 | 6 | no | — |
| 904 | #41 | — | 6 | 12 | no | — |
| 905 | #41 | — | 6 | 6 | no | — |
| 906 | #41 | — | 6 | 12 | no | — |
| 907 | #41 | — | 6 | 12 | no | — |
| 908 | #41 | — | 6 | 6 | no | — |
| 909 | #41 | — | 6 | 6 | no | — |
| 910 | #41 | — | 6 | 3 | no | — |
| 911 | #41 | — | 6 | 12 | no | — |
| 912 | #41 | — | 6 | 12 | no | — |
| 913 | #41 | — | 6 | 12 | no | — |
| 914 | #41 | — | 6 | 12 | no | — |
| 915 | #41 | — | 6 | 12 | no | — |
| 916 | #41 | — | 6 | 6 | no | — |
| 917 | #41 | — | 6 | 6 | no | — |
| 918 | #41 | — | 6 | 2 | no | — |
| 919 | #41 | — | 6 | 6 | no | — |
| 920 | #41 | — | 6 | 12 | no | — |
| 921 | #41 | — | 6 | 6 | no | — |
| 922 | #41 | — | 6 | 6 | no | — |
| 923 | #41 | — | 6 | 3 | no | — |
| 924 | #41 | — | 6 | 12 | no | — |
| 925 | #41 | — | 6 | 12 | no | — |
| 926 | #41 | — | 6 | 12 | no | — |
| 927 | #41 | — | 6 | 6 | no | — |
| 928 | #41 | — | 6 | 6 | no | — |
| 929 | #41 | — | 6 | 6 | no | — |
| 930 | #41 | — | 6 | 2 | no | — |
| 931 | #41 | — | 6 | 6 | no | — |
| 932 | #41 | — | 6 | 12 | no | — |
| 933 | #41 | — | 6 | 12 | no | — |
| 934 | #41 | — | 6 | 12 | no | — |
| 935 | #41 | — | 6 | 12 | no | — |
| 936 | #41 | — | 6 | 12 | no | — |
| 937 | #41 | — | 6 | 6 | no | — |
| 938 | #41 | — | 6 | 12 | no | — |
| 939 | #41 | — | 6 | 12 | no | — |
| 940 | #41 | — | 6 | 6 | no | — |
| 941 | #41 | — | 6 | 6 | no | — |
| 942 | #41 | — | 6 | 6 | no | — |
| 943 | #41 | — | 6 | 6 | no | — |
| 944 | #41 | — | 6 | 6 | no | — |
| 945 | #41 | — | 6 | 6 | no | — |
| 946 | #41 | — | 6 | 12 | no | — |
| 947 | #41 | — | 6 | 6 | no | — |
| 948 | #41 | — | 6 | 6 | no | — |
| 949 | #41 | — | 6 | 1 | no | — |
| 950 | #41 | — | 6 | 3 | no | — |
| 951 | #41 | — | 6 | 3 | no | — |
| 952 | #41 | C2×SL(2,ℤ/4) | 1 | 6 | yes | — |
| 953 | #41 | C22×S4 | 1 | 2 | yes | — |
| 954 | #41 | #1020 | 1 | 1 | yes | characteristic |
| 955 | C2×Q8 | — | 3 | 6 | no | — |
| 956 | C2×Q8 | — | 3 | 3 | no | — |
| 957 | C2×Q8 | — | 3 | 2 | no | — |
| 958 | C2×Q8 | — | 3 | 1 | no | — |
| 959 | C2×Q8 | — | 3 | 3 | no | — |
| 960 | C2×Q8 | — | 3 | 3 | no | — |
| 961 | C2×Q8 | — | 3 | 1 | no | — |
| 962 | C2×Q8 | — | 3 | 3 | no | — |
| 963 | C2×Q8 | — | 3 | 3 | no | — |
| 964 | C2×Q8 | — | 3 | 3 | no | — |
| 965 | C2×Q8 | — | 3 | 6 | no | — |
| 966 | C2×Q8 | — | 3 | 6 | no | — |
| 967 | C2×Q8 | — | 3 | 12 | no | — |
| 968 | C2×Q8 | — | 3 | 6 | no | — |
| 969 | C2×Q8 | — | 3 | 6 | no | — |
| 970 | C2×Q8 | — | 3 | 6 | no | — |
| 971 | C2×Q8 | — | 3 | 2 | no | — |
| 972 | C2×Q8 | — | 3 | 6 | no | — |
| 973 | C2×Q8 | — | 6 | 6 | no | — |
| 974 | C2×Q8 | — | 6 | 6 | no | — |
| 975 | C2×Q8 | — | 6 | 6 | no | — |
| 976 | C2×Q8 | — | 6 | 6 | no | — |
| 977 | C2×Q8 | — | 6 | 6 | no | — |
| 978 | C2×Q8 | — | 6 | 6 | no | — |
| 979 | C2×Q8 | — | 6 | 6 | no | — |
| 980 | C2×Q8 | — | 6 | 6 | no | — |
| 981 | C2×Q8 | — | 6 | 6 | no | — |
| 982 | C2×Q8 | — | 6 | 6 | no | — |
| 983 | C2×Q8 | — | 6 | 12 | no | — |
| 984 | C2×Q8 | — | 6 | 3 | no | — |
| 985 | C2×Q8 | — | 6 | 1 | no | — |
| 986 | C2×Q8 | — | 6 | 3 | no | — |
| 987 | C2×Q8 | — | 6 | 6 | no | — |
| 988 | C2×Q8 | — | 6 | 6 | no | — |
| 989 | C2×Q8 | — | 6 | 3 | no | — |
| 990 | C2×Q8 | — | 6 | 12 | no | — |
| 991 | C2×Q8 | — | 6 | 6 | no | — |
| 992 | C2×Q8 | — | 6 | 6 | no | — |
| 993 | C2×Q8 | — | 6 | 12 | no | — |
| 994 | C2×Q8 | — | 6 | 6 | no | — |
| 995 | C2×Q8 | — | 6 | 3 | no | — |
| 996 | C2×Q8 | — | 6 | 12 | no | — |
| 997 | C2×Q8 | — | 6 | 3 | no | — |
| 998 | C2×Q8 | — | 6 | 3 | no | — |
| 999 | C2×Q8 | — | 6 | 6 | no | — |
| 1000 | C2×Q8 | — | 6 | 6 | no | — |
| 1001 | C2×Q8 | — | 6 | 1 | no | — |
| 1002 | C2×Q8 | C2×SL(2,ℤ/4) | 1 | 6 | yes | — |
| 1003 | C2×D4 | — | 3 | 12 | no | — |
| 1004 | C2×D4 | — | 3 | 6 | no | — |
| 1005 | C2×D4 | — | 3 | 6 | no | — |
| 1006 | C2×D4 | — | 3 | 3 | no | — |
| 1007 | C2×D4 | — | 3 | 6 | no | — |
| 1008 | C2×D4 | — | 3 | 3 | no | — |
| 1009 | C2×D4 | — | 3 | 6 | no | — |
| 1010 | C2×D4 | — | 3 | 6 | no | — |
| 1011 | C2×D4 | — | 3 | 6 | no | — |
| 1012 | C2×D4 | — | 3 | 2 | no | — |
| 1013 | C2×D4 | — | 3 | 6 | no | — |
| 1014 | C2×D4 | — | 3 | 12 | no | — |
| 1015 | C2×D4 | — | 3 | 6 | no | — |
| 1016 | C2×D4 | — | 3 | 6 | no | — |
| 1017 | C2×D4 | — | 3 | 6 | no | — |
| 1018 | C2×D4 | — | 3 | 3 | no | — |
| 1019 | C2×D4 | — | 3 | 6 | no | — |
| 1020 | C2×D4 | — | 3 | 3 | no | — |
| 1021 | C2×D4 | — | 3 | 1 | no | — |
| 1022 | C2×D4 | — | 3 | 3 | no | — |
| 1023 | C2×D4 | — | 3 | 3 | no | — |
| 1024 | C2×D4 | — | 3 | 3 | no | — |
| 1025 | C2×D4 | — | 3 | 3 | no | — |
| 1026 | C2×D4 | — | 3 | 3 | no | — |
| 1027 | C2×D4 | — | 3 | 3 | no | — |
| 1028 | C2×D4 | — | 3 | 3 | no | — |
| 1029 | C2×D4 | — | 3 | 6 | no | — |
| 1030 | C2×D4 | — | 3 | 1 | no | — |
| 1031 | C2×D4 | — | 3 | 1 | no | — |
| 1032 | C2×D4 | — | 3 | 3 | no | — |
| 1033 | C2×D4 | — | 3 | 3 | no | — |
| 1034 | C2×D4 | — | 6 | 6 | no | — |
| 1035 | C2×D4 | — | 6 | 6 | no | — |
| 1036 | C2×D4 | — | 6 | 6 | no | — |
| 1037 | C2×D4 | — | 6 | 6 | no | — |
| 1038 | C2×D4 | — | 6 | 6 | no | — |
| 1039 | C2×D4 | — | 6 | 6 | no | — |
| 1040 | C2×D4 | — | 6 | 6 | no | — |
| 1041 | C2×D4 | — | 6 | 6 | no | — |
| 1042 | C2×D4 | — | 6 | 6 | no | — |
| 1043 | C2×D4 | — | 6 | 6 | no | — |
| 1044 | C2×D4 | — | 6 | 1 | no | — |
| 1045 | C2×D4 | — | 6 | 6 | no | — |
| 1046 | C2×D4 | — | 6 | 12 | no | — |
| 1047 | C2×D4 | — | 6 | 6 | no | — |
| 1048 | C2×D4 | — | 6 | 12 | no | — |
| 1049 | C2×D4 | — | 6 | 6 | no | — |
| 1050 | C2×D4 | — | 6 | 3 | no | — |
| 1051 | C2×D4 | — | 6 | 3 | no | — |
| 1052 | C2×D4 | — | 6 | 12 | no | — |
| 1053 | C2×D4 | — | 6 | 12 | no | — |
| 1054 | C2×D4 | — | 6 | 12 | no | — |
| 1055 | C2×D4 | — | 6 | 6 | no | — |
| 1056 | C2×D4 | — | 6 | 6 | no | — |
| 1057 | C2×D4 | — | 6 | 2 | no | — |
| 1058 | C2×D4 | — | 6 | 6 | no | — |
| 1059 | C2×D4 | — | 6 | 12 | no | — |
| 1060 | C2×D4 | — | 6 | 6 | no | — |
| 1061 | C2×D4 | — | 6 | 6 | no | — |
| 1062 | C2×D4 | — | 6 | 12 | no | — |
| 1063 | C2×D4 | — | 6 | 6 | no | — |
| 1064 | C2×D4 | — | 6 | 6 | no | — |
| 1065 | C2×D4 | — | 6 | 3 | no | — |
| 1066 | C2×D4 | — | 6 | 12 | no | — |
| 1067 | C2×D4 | — | 6 | 12 | no | — |
| 1068 | C2×D4 | — | 6 | 6 | no | — |
| 1069 | C2×D4 | — | 6 | 12 | no | — |
| 1070 | C2×D4 | — | 6 | 12 | no | — |
| 1071 | C2×D4 | — | 6 | 12 | no | — |
| 1072 | C2×D4 | — | 6 | 12 | no | — |
| 1073 | C2×D4 | — | 6 | 12 | no | — |
| 1074 | C2×D4 | — | 6 | 6 | no | — |
| 1075 | C2×D4 | — | 6 | 3 | no | — |
| 1076 | C2×D4 | — | 6 | 1 | no | — |
| 1077 | C2×D4 | — | 6 | 3 | no | — |
| 1078 | C2×D4 | — | 6 | 6 | no | — |
| 1079 | C2×D4 | — | 6 | 6 | no | — |
| 1080 | C2×D4 | — | 6 | 6 | no | — |
| 1081 | C2×D4 | — | 6 | 12 | no | — |
| 1082 | C2×D4 | — | 6 | 6 | no | — |
| 1083 | C2×D4 | — | 6 | 12 | no | — |
| 1084 | C2×D4 | — | 6 | 6 | no | — |
| 1085 | C2×D4 | — | 6 | 6 | no | — |
| 1086 | C2×D4 | — | 6 | 6 | no | — |
| 1087 | C2×D4 | — | 6 | 6 | no | — |
| 1088 | C2×D4 | — | 6 | 6 | no | — |
| 1089 | C2×D4 | — | 6 | 6 | no | — |
| 1090 | C2×D4 | — | 6 | 6 | no | — |
| 1091 | C2×D4 | — | 6 | 3 | no | — |
| 1092 | C2×D4 | — | 6 | 12 | no | — |
| 1093 | C2×D4 | — | 6 | 6 | no | — |
| 1094 | C2×D4 | — | 6 | 1 | no | — |
| 1095 | C2×D4 | — | 6 | 3 | no | — |
| 1096 | C2×D4 | — | 6 | 12 | no | — |
| 1097 | C2×D4 | — | 6 | 12 | no | — |
| 1098 | C2×D4 | — | 6 | 12 | no | — |
| 1099 | C2×D4 | — | 6 | 6 | no | — |
| 1100 | C2×D4 | — | 6 | 6 | no | — |
| 1101 | C2×D4 | — | 6 | 6 | no | — |
| 1102 | C2×D4 | — | 6 | 3 | no | — |
| 1103 | C2×D4 | — | 6 | 3 | no | — |
| 1104 | C2×D4 | — | 6 | 12 | no | — |
| 1105 | C2×D4 | — | 6 | 6 | no | — |
| 1106 | C2×D4 | — | 6 | 12 | no | — |
| 1107 | C2×D4 | — | 6 | 6 | no | — |
| 1108 | C2×D4 | — | 6 | 12 | no | — |
| 1109 | C2×D4 | — | 6 | 3 | no | — |
| 1110 | C2×D4 | — | 6 | 3 | no | — |
| 1111 | C2×D4 | — | 6 | 3 | no | — |
| 1112 | C2×D4 | — | 6 | 3 | no | — |
| 1113 | C2×D4 | — | 6 | 6 | no | — |
| 1114 | C22×C4 | — | 2 | 1 | no | — |
| 1115 | C22×C4 | — | 2 | 3 | no | — |
| 1116 | C22×C4 | — | 3 | 6 | no | — |
| 1117 | C22×C4 | — | 3 | 6 | no | — |
| 1118 | C22×C4 | — | 3 | 6 | no | — |
| 1119 | C22×C4 | — | 3 | 1 | no | — |
| 1120 | C22×C4 | — | 3 | 3 | no | — |
| 1121 | C22×C4 | — | 3 | 3 | no | — |
| 1122 | C22×C4 | — | 3 | 3 | no | — |
| 1123 | C22×C4 | — | 3 | 3 | no | — |
| 1124 | C22×C4 | — | 3 | 6 | no | — |
| 1125 | C22×C4 | — | 3 | 3 | no | — |
| 1126 | C22×C4 | — | 3 | 3 | no | — |
| 1127 | C22×C4 | — | 3 | 3 | no | — |
| 1128 | C22×C4 | — | 3 | 3 | no | — |
| 1129 | C22×C4 | — | 3 | 1 | no | — |
| 1130 | C22×C4 | — | 3 | 3 | no | — |
| 1131 | C22×C4 | — | 3 | 6 | no | — |
| 1132 | C22×C4 | — | 3 | 6 | no | — |
| 1133 | C22×C4 | — | 3 | 3 | no | — |
| 1134 | C22×C4 | — | 3 | 3 | no | — |
| 1135 | C22×C4 | — | 3 | 6 | no | — |
| 1136 | C22×C4 | — | 3 | 3 | no | — |
| 1137 | C22×C4 | — | 6 | 2 | no | — |
| 1138 | C22×C4 | — | 6 | 12 | no | — |
| 1139 | C22×C4 | — | 6 | 1 | no | — |
| 1140 | C22×C4 | — | 6 | 6 | no | — |
| 1141 | C22×C4 | — | 6 | 3 | no | — |
| 1142 | C22×C4 | — | 6 | 3 | no | — |
| 1143 | C22×C4 | — | 6 | 3 | no | — |
| 1144 | C22×C4 | — | 6 | 6 | no | — |
| 1145 | C22×C4 | — | 6 | 3 | no | — |
| 1146 | C22×C4 | — | 6 | 6 | no | — |
| 1147 | C22×C4 | — | 6 | 3 | no | — |
| 1148 | C22×C4 | — | 6 | 12 | no | — |
| 1149 | C22×C4 | — | 6 | 3 | no | — |
| 1150 | C22×C4 | — | 6 | 3 | no | — |
| 1151 | C22×C4 | — | 6 | 6 | no | — |
| 1152 | C22×C4 | — | 6 | 12 | no | — |
| 1153 | C22×C4 | — | 6 | 6 | no | — |
| 1154 | C22×C4 | — | 6 | 12 | no | — |
| 1155 | C22×C4 | — | 6 | 6 | no | — |
| 1156 | C22×C4 | — | 6 | 6 | no | — |
| 1157 | C22×C4 | — | 6 | 6 | no | — |
| 1158 | C22×C4 | — | 6 | 12 | no | — |
| 1159 | C22×C4 | — | 6 | 6 | no | — |
| 1160 | C22×C4 | — | 6 | 12 | no | — |
| 1161 | C22×C4 | — | 6 | 6 | no | — |
| 1162 | C22×C4 | — | 6 | 3 | no | — |
| 1163 | C22×C4 | — | 6 | 3 | no | — |
| 1164 | C22×C4 | — | 6 | 3 | no | — |
| 1165 | C22×C4 | — | 6 | 3 | no | — |
| 1166 | C22×C4 | — | 12 | 6 | no | — |
| 1167 | C22×C4 | — | 12 | 6 | no | — |
| 1168 | C22×C4 | C2×SL(2,ℤ/4) | 1 | 3 | yes | — |
| 1169 | C22×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 1170 | M16 | — | 6 | 6 | no | — |
| 1171 | M16 | — | 6 | 2 | no | — |
| 1172 | M16 | — | 12 | 6 | no | — |
| 1173 | M16 | — | 12 | 3 | no | — |
| 1174 | M16 | — | 12 | 3 | no | — |
| 1175 | M16 | — | 12 | 3 | no | — |
| 1176 | M16 | — | 12 | 6 | no | — |
| 1177 | M16 | — | 12 | 3 | no | — |
| 1178 | C2×C8 | — | 6 | 1 | no | — |
| 1179 | C2×C8 | — | 6 | 3 | no | — |
| 1180 | C2×C8 | — | 6 | 3 | no | — |
| 1181 | C2×C8 | — | 6 | 1 | no | — |
| 1182 | C2×C8 | — | 6 | 2 | no | — |
| 1183 | C2×C8 | — | 6 | 6 | no | — |
| 1184 | C2×C8 | — | 12 | 6 | no | — |
| 1185 | C2×C8 | — | 12 | 3 | no | — |
| 1186 | C2×C8 | — | 12 | 3 | no | — |
| 1187 | C2×C8 | — | 12 | 3 | no | — |
| 1188 | C2×C8 | — | 12 | 6 | no | — |
| 1189 | C2×C8 | — | 12 | 3 | no | — |
| 1190 | C4⋊C4 | — | 6 | 6 | no | — |
| 1191 | C4⋊C4 | — | 6 | 2 | no | — |
| 1192 | C4⋊C4 | — | 12 | 6 | no | — |
| 1193 | C4⋊C4 | — | 12 | 6 | no | — |
| 1194 | C22⋊C4 | — | 6 | 6 | no | — |
| 1195 | C22⋊C4 | — | 6 | 2 | no | — |
| 1196 | C22⋊C4 | — | 12 | 6 | no | — |
| 1197 | C22⋊C4 | — | 12 | 6 | no | — |
| 1198 | C42 | — | 6 | 6 | no | — |
| 1199 | C42 | — | 6 | 2 | no | — |
| 1200 | C42 | — | 12 | 6 | no | — |
| 1201 | C42 | — | 12 | 6 | no | — |
| 1202 | C22×C3 | — | 16 | 3 | no | — |
| 1203 | A4 | — | 4 | 1 | no | — |
| 1204 | A4 | — | 8 | 1 | no | — |
| 1205 | C3×C4 | — | 16 | 1 | no | — |
| 1206 | C3×C4 | — | 16 | 3 | no | — |
| 1207 | C23 | — | 2 | 1 | no | — |
| 1208 | C23 | — | 3 | 1 | no | — |
| 1209 | C23 | — | 3 | 6 | no | — |
| 1210 | C23 | — | 3 | 3 | no | — |
| 1211 | C23 | — | 3 | 3 | no | — |
| 1212 | C23 | — | 3 | 6 | no | — |
| 1213 | C23 | — | 3 | 3 | no | — |
| 1214 | C23 | — | 3 | 1 | no | — |
| 1215 | C23 | — | 3 | 3 | no | — |
| 1216 | C23 | — | 6 | 2 | no | — |
| 1217 | C23 | — | 6 | 1 | no | — |
| 1218 | C23 | — | 6 | 6 | no | — |
| 1219 | C23 | — | 6 | 3 | no | — |
| 1220 | C23 | — | 6 | 12 | no | — |
| 1221 | C23 | — | 6 | 6 | no | — |
| 1222 | C23 | — | 6 | 3 | no | — |
| 1223 | C23 | — | 6 | 3 | no | — |
| 1224 | C23 | — | 6 | 3 | no | — |
| 1225 | C23 | — | 8 | 3 | no | — |
| 1226 | C23 | — | 16 | 3 | no | — |
| 1227 | C23 | — | 24 | 3 | no | — |
| 1228 | C23 | — | 24 | 3 | no | — |
| 1229 | C23 | — | 24 | 6 | no | — |
| 1230 | C23 | — | 48 | 3 | no | — |
| 1231 | C23 | — | 48 | 6 | no | — |
| 1232 | C23 | — | 48 | 6 | no | — |
| 1233 | C23 | C22×SL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 1234 | Q8 | — | 3 | 6 | no | — |
| 1235 | Q8 | — | 3 | 6 | no | — |
| 1236 | Q8 | — | 3 | 3 | no | — |
| 1237 | Q8 | — | 3 | 6 | no | — |
| 1238 | Q8 | — | 3 | 6 | no | — |
| 1239 | Q8 | — | 3 | 2 | no | — |
| 1240 | Q8 | — | 6 | 1 | no | — |
| 1241 | Q8 | — | 6 | 2 | no | — |
| 1242 | Q8 | — | 6 | 6 | no | — |
| 1243 | Q8 | — | 6 | 6 | no | — |
| 1244 | Q8 | — | 6 | 6 | no | — |
| 1245 | Q8 | — | 6 | 6 | no | — |
| 1246 | Q8 | — | 6 | 3 | no | — |
| 1247 | Q8 | — | 6 | 6 | no | — |
| 1248 | Q8 | — | 6 | 2 | no | — |
| 1249 | Q8 | — | 6 | 3 | no | — |
| 1250 | Q8 | C22×SL(2,ℤ/4) | 1 | 2 | yes | — |
| 1251 | Q8 | #5936 | 1 | 1 | yes | characteristic |
| 1252 | D4 | — | 3 | 6 | no | — |
| 1253 | D4 | — | 3 | 2 | no | — |
| 1254 | D4 | — | 3 | 6 | no | — |
| 1255 | D4 | — | 3 | 12 | no | — |
| 1256 | D4 | — | 3 | 6 | no | — |
| 1257 | D4 | — | 3 | 12 | no | — |
| 1258 | D4 | — | 3 | 2 | no | — |
| 1259 | D4 | — | 3 | 6 | no | — |
| 1260 | D4 | — | 3 | 6 | no | — |
| 1261 | D4 | — | 3 | 3 | no | — |
| 1262 | D4 | — | 6 | 3 | no | — |
| 1263 | D4 | — | 6 | 6 | no | — |
| 1264 | D4 | — | 6 | 2 | no | — |
| 1265 | D4 | — | 6 | 6 | no | — |
| 1266 | D4 | — | 6 | 6 | no | — |
| 1267 | D4 | — | 6 | 6 | no | — |
| 1268 | D4 | — | 6 | 2 | no | — |
| 1269 | D4 | — | 6 | 6 | no | — |
| 1270 | D4 | — | 6 | 6 | no | — |
| 1271 | D4 | — | 6 | 12 | no | — |
| 1272 | D4 | — | 6 | 6 | no | — |
| 1273 | D4 | — | 6 | 3 | no | — |
| 1274 | D4 | — | 6 | 6 | no | — |
| 1275 | D4 | — | 6 | 2 | no | — |
| 1276 | D4 | — | 6 | 6 | no | — |
| 1277 | D4 | — | 6 | 6 | no | — |
| 1278 | D4 | — | 6 | 6 | no | — |
| 1279 | D4 | — | 6 | 6 | no | — |
| 1280 | D4 | — | 6 | 6 | no | — |
| 1281 | D4 | — | 6 | 2 | no | — |
| 1282 | D4 | — | 6 | 6 | no | — |
| 1283 | D4 | — | 6 | 6 | no | — |
| 1284 | D4 | — | 6 | 6 | no | — |
| 1285 | D4 | — | 6 | 6 | no | — |
| 1286 | D4 | — | 6 | 6 | no | — |
| 1287 | D4 | — | 6 | 3 | no | — |
| 1288 | D4 | #5936 | 1 | 3 | yes | — |
| 1289 | C2×C4 | — | 3 | 6 | no | — |
| 1290 | C2×C4 | — | 3 | 2 | no | — |
| 1291 | C2×C4 | — | 3 | 6 | no | — |
| 1292 | C2×C4 | — | 3 | 1 | no | — |
| 1293 | C2×C4 | — | 3 | 3 | no | — |
| 1294 | C2×C4 | — | 3 | 6 | no | — |
| 1295 | C2×C4 | — | 3 | 6 | no | — |
| 1296 | C2×C4 | — | 3 | 3 | no | — |
| 1297 | C2×C4 | — | 3 | 6 | no | — |
| 1298 | C2×C4 | — | 3 | 2 | no | — |
| 1299 | C2×C4 | — | 3 | 1 | no | — |
| 1300 | C2×C4 | — | 3 | 3 | no | — |
| 1301 | C2×C4 | — | 3 | 6 | no | — |
| 1302 | C2×C4 | — | 3 | 6 | no | — |
| 1303 | C2×C4 | — | 3 | 3 | no | — |
| 1304 | C2×C4 | — | 3 | 3 | no | — |
| 1305 | C2×C4 | — | 3 | 6 | no | — |
| 1306 | C2×C4 | — | 3 | 3 | no | — |
| 1307 | C2×C4 | — | 3 | 1 | no | — |
| 1308 | C2×C4 | — | 3 | 3 | no | — |
| 1309 | C2×C4 | — | 3 | 1 | no | — |
| 1310 | C2×C4 | — | 6 | 3 | no | — |
| 1311 | C2×C4 | — | 6 | 6 | no | — |
| 1312 | C2×C4 | — | 6 | 12 | no | — |
| 1313 | C2×C4 | — | 6 | 1 | no | — |
| 1314 | C2×C4 | — | 6 | 6 | no | — |
| 1315 | C2×C4 | — | 6 | 3 | no | — |
| 1316 | C2×C4 | — | 6 | 12 | no | — |
| 1317 | C2×C4 | — | 6 | 12 | no | — |
| 1318 | C2×C4 | — | 6 | 2 | no | — |
| 1319 | C2×C4 | — | 6 | 6 | no | — |
| 1320 | C2×C4 | — | 6 | 6 | no | — |
| 1321 | C2×C4 | — | 6 | 6 | no | — |
| 1322 | C2×C4 | — | 6 | 1 | no | — |
| 1323 | C2×C4 | — | 6 | 3 | no | — |
| 1324 | C2×C4 | — | 6 | 3 | no | — |
| 1325 | C2×C4 | — | 6 | 3 | no | — |
| 1326 | C2×C4 | — | 6 | 12 | no | — |
| 1327 | C2×C4 | — | 6 | 3 | no | — |
| 1328 | C2×C4 | — | 6 | 6 | no | — |
| 1329 | C2×C4 | — | 6 | 6 | no | — |
| 1330 | C2×C4 | — | 6 | 3 | no | — |
| 1331 | C2×C4 | — | 6 | 1 | no | — |
| 1332 | C2×C4 | — | 6 | 3 | no | — |
| 1333 | C2×C4 | — | 6 | 3 | no | — |
| 1334 | C2×C4 | — | 6 | 3 | no | — |
| 1335 | C2×C4 | — | 6 | 1 | no | — |
| 1336 | C2×C4 | — | 6 | 3 | no | — |
| 1337 | C2×C4 | — | 12 | 6 | no | — |
| 1338 | C2×C4 | — | 12 | 2 | no | — |
| 1339 | C2×C4 | — | 48 | 6 | no | — |
| 1340 | C2×C4 | — | 48 | 6 | no | — |
| 1341 | C2×C4 | C2×#1020 | 1 | 3 | yes | — |
| 1342 | C8 | — | 12 | 1 | no | — |
| 1343 | C8 | — | 12 | 3 | no | — |
| 1344 | C8 | — | 12 | 3 | no | — |
| 1345 | C8 | — | 12 | 1 | no | — |
| 1346 | C2×C3 | — | 16 | 1 | no | — |
| 1347 | C2×C3 | — | 32 | 3 | no | — |
| 1348 | C22 | — | 3 | 1 | no | — |
| 1349 | C22 | — | 3 | 2 | no | — |
| 1350 | C22 | — | 3 | 6 | no | — |
| 1351 | C22 | — | 3 | 3 | no | — |
| 1352 | C22 | — | 4 | 1 | no | — |
| 1353 | C22 | — | 6 | 1 | no | — |
| 1354 | C22 | — | 6 | 3 | no | — |
| 1355 | C22 | — | 8 | 1 | no | — |
| 1356 | C22 | — | 12 | 6 | no | — |
| 1357 | C22 | — | 12 | 3 | no | — |
| 1358 | C22 | — | 12 | 3 | no | — |
| 1359 | C22 | — | 12 | 6 | no | — |
| 1360 | C22 | — | 12 | 1 | no | — |
| 1361 | C22 | — | 12 | 3 | no | — |
| 1362 | C22 | — | 12 | 1 | no | — |
| 1363 | C22 | — | 12 | 3 | no | — |
| 1364 | C22 | — | 24 | 3 | no | — |
| 1365 | C22 | — | 24 | 2 | no | — |
| 1366 | C22 | — | 24 | 12 | no | — |
| 1367 | C22 | — | 24 | 1 | no | — |
| 1368 | C22 | — | 24 | 6 | no | — |
| 1369 | C22 | — | 24 | 3 | no | — |
| 1370 | C22 | — | 24 | 3 | no | — |
| 1371 | C22 | — | 24 | 6 | no | — |
| 1372 | C22 | — | 24 | 3 | no | — |
| 1373 | C22 | C2×#5936 | 1 | 3 | yes | — |
| 1374 | C4 | — | 3 | 1 | no | — |
| 1375 | C4 | — | 3 | 2 | no | — |
| 1376 | C4 | — | 3 | 3 | no | — |
| 1377 | C4 | — | 3 | 6 | no | — |
| 1378 | C4 | — | 6 | 3 | no | — |
| 1379 | C4 | — | 6 | 1 | no | — |
| 1380 | C4 | — | 24 | 2 | no | — |
| 1381 | C4 | — | 24 | 6 | no | — |
| 1382 | C4 | C2×#5936 | 1 | 3 | yes | — |
| 1383 | C4 | C22×#1020 | 1 | 1 | yes | characteristic |
| 1384 | C3 | — | 16 | 1 | no | Sylow |
| 1385 | C2 | — | 2 | 3 | no | — |
| 1386 | C2 | — | 6 | 2 | no | — |
| 1387 | C2 | — | 6 | 1 | no | — |
| 1388 | C2 | — | 6 | 3 | no | — |
| 1389 | C2 | — | 6 | 6 | no | — |
| 1390 | C2 | — | 12 | 1 | no | — |
| 1391 | C2 | — | 12 | 3 | no | — |
| 1392 | C2 | C22×#5936 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C4 | C22×#1020 |
| commutator, hypocenter | #997 | C22×C4 |
| Fitting | #63103 | D3 |
| socle | C2 | C22×#5936 |
| prime radical | #11710937 | C2 |
| cosocle | #5950 | C23 |
| hypercenter | #41 | #1020 |
| LCS | G ▷ #997 | |
| UCS | C1 ◁ C4 ◁ #41 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11715667 | C2 | semidirect |
| 2. C2×#85567 | C2 | semidirect |
| 5. #87548 | C4 | semidirect |
| 6. #87547 | C4 | semidirect |
| 8. #85567 | C22 | semidirect |
| 9. #85567 | C22 | semidirect |
| 23. #5950 | C2×C4 | semidirect |
| 25. C2×#997 | C2×C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11715667 | 2 |
| C2×#85567 | 2 |
| #11710937 | 2 |
| #6370751 | 3 |
| #85541 | 4 |
| #85511 | 4 |