← #72281475
Subgroups — #72281475
Order 1024.
816393 conjugacy classes of subgroups.
The subgroup lattice has 816 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#63103 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C23×#585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10586102 | C2 | 1 | 32 | yes | maximal, complemented |
| 4 | #10586096 | C2 | 1 | 32 | yes | maximal, complemented |
| 5 | #10586091 | C2 | 1 | 12 | yes | maximal, complemented |
| 6 | #10586083 | C2 | 1 | 12 | yes | maximal, complemented |
| 7 | #10586076 | C2 | 1 | 20 | yes | maximal, complemented |
| 8 | #10586066 | C2 | 1 | 20 | yes | maximal, complemented |
| 9 | D4×#585 | C2 | 1 | 64 | yes | maximal, complemented |
| 10 | #10586020 | C2 | 1 | 30 | yes | maximal, complemented |
| 11 | C2×#62811 | C2 | 1 | 30 | yes | maximal, complemented |
| 12 | #10585883 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #63103 | — | 2 | 64 | no | — |
| 14 | C2×2−1+6 | C22 | 1 | 12 | yes | complemented |
| 15 | C2×2−1+6 | C22 | 1 | 16 | yes | complemented |
| 16 | C2×H(7,𝔽2) | C22 | 1 | 20 | yes | complemented |
| 17 | C2×H(7,𝔽2) | C22 | 1 | 16 | yes | complemented |
| 18 | C22×#585 | — | 2 | 64 | no | — |
| 19 | C22×#585 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×#585 | C22 | 1 | 15 | yes | complemented |
| 21 | C22×#585 | C22 | 1 | 30 | yes | complemented |
| 22 | C22×#585 | C22 | 1 | 10 | yes | complemented |
| 23 | C22×#585 | C22 | 1 | 6 | yes | complemented |
| 24 | C22×#585 | C22 | 1 | 32 | yes | complemented |
| 25 | C22×#585 | C22 | 1 | 32 | yes | complemented |
| 26 | C22×#585 | C22 | 1 | 32 | yes | complemented |
| 27 | C23×2−1+4 | C22 | 1 | 6 | yes | complemented |
| 28 | C23×H(5,𝔽2) | C22 | 1 | 10 | yes | complemented |
| 29 | C24×#41 | C22 | 1 | 15 | yes | complemented |
| 30 | #63003 | C22 | 1 | 384 | yes | complemented |
| 31 | #63002 | C22 | 1 | 384 | yes | complemented |
| 32 | #63002 | C22 | 1 | 384 | yes | complemented |
| 33 | D4×2−1+4 | C22 | 1 | 384 | yes | complemented |
| 34 | #62988 | C22 | 1 | 640 | yes | complemented |
| 35 | #62987 | C22 | 1 | 640 | yes | complemented |
| 36 | #62987 | C22 | 1 | 640 | yes | complemented |
| 37 | D4×H(5,𝔽2) | C22 | 1 | 640 | yes | complemented |
| 38 | #62859 | C22 | 1 | 240 | yes | complemented |
| 39 | #62859 | C22 | 1 | 240 | yes | complemented |
| 40 | #62853 | C22 | 1 | 480 | yes | complemented |
| 41 | #62852 | C22 | 1 | 240 | yes | complemented |
| 42 | #62852 | C22 | 1 | 240 | yes | complemented |
| 43 | #62848 | C22 | 1 | 120 | yes | complemented |
| 44 | #62842 | C22 | 1 | 360 | yes | complemented |
| 45 | #62812 | C22 | 1 | 480 | yes | complemented |
| 46 | #62811 | C22 | 1 | 80 | yes | complemented |
| 47 | #62811 | C22 | 1 | 240 | yes | complemented |
| 48 | #62811 | C22 | 1 | 480 | yes | complemented |
| 49 | #62811 | C22 | 1 | 240 | yes | complemented |
| 50 | #62811 | C22 | 1 | 240 | yes | complemented |
| 51 | #62811 | C22 | 1 | 480 | yes | complemented |
| 52 | #62811 | C22 | 1 | 480 | yes | complemented |
| 53 | C2×#3489 | C22 | 1 | 240 | yes | complemented |
| 54 | C2×#3488 | C22 | 1 | 240 | yes | complemented |
| 55 | C2×#3487 | C22 | 1 | 60 | yes | complemented |
| 56 | C2×#3486 | C22 | 1 | 60 | yes | complemented |
| 57 | C2×#3485 | C22 | 1 | 180 | yes | complemented |
| 58 | C2×#3484 | C22 | 1 | 180 | yes | complemented |
| 59 | C2×D4×#41 | C22 | 1 | 480 | yes | complemented |
| 60 | C2×#3449 | C22 | 1 | 180 | yes | complemented |
| 61 | C22×#525 | C22 | 1 | 60 | yes | complemented |
| 62 | #62654 | C22 | 1 | 32 | yes | complemented |
| 63 | #62653 | C22 | 1 | 12 | yes | complemented |
| 64 | #62652 | C22 | 1 | 20 | yes | complemented |
| 65 | C4×#585 | C22 | 1 | 32 | yes | complemented |
| 66 | C2×#3428 | C22 | 1 | 30 | yes | complemented |
| 67 | 2−1+6 | — | 2 | 512 | no | — |
| 68 | 2−1+6 | — | 2 | 384 | no | — |
| 69 | H(7,𝔽2) | — | 2 | 512 | no | — |
| 70 | H(7,𝔽2) | — | 2 | 640 | no | — |
| 71 | C2×#585 | — | 2 | 1024 | no | — |
| 72 | C2×#585 | — | 2 | 1024 | no | — |
| 73 | C2×#585 | — | 2 | 1024 | no | — |
| 74 | C2×#585 | — | 2 | 192 | no | — |
| 75 | C2×#585 | — | 2 | 320 | no | — |
| 76 | C2×#585 | — | 2 | 480 | no | — |
| 77 | C2×#585 | — | 2 | 960 | no | — |
| 78 | C2×#585 | D4 | 1 | 64 | yes | complemented |
| 79 | C2×#585 | C23 | 1 | 16 | yes | — |
| 80 | C2×#585 | C23 | 1 | 16 | yes | — |
| 81 | C2×#585 | C23 | 1 | 320 | yes | complemented |
| 82 | C2×#585 | C23 | 1 | 192 | yes | complemented |
| 83 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 84 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 85 | C2×#585 | C23 | 1 | 80 | yes | complemented |
| 86 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 87 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 88 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 89 | C2×#585 | C23 | 1 | 320 | yes | complemented |
| 90 | C2×#585 | C23 | 1 | 192 | yes | complemented |
| 91 | C22×2−1+4 | — | 2 | 192 | no | — |
| 92 | C22×2−1+4 | C23 | 1 | 6 | yes | — |
| 93 | C22×2−1+4 | C23 | 1 | 192 | yes | complemented |
| 94 | C22×2−1+4 | C23 | 1 | 30 | yes | complemented |
| 95 | C22×2−1+4 | C23 | 1 | 60 | yes | complemented |
| 96 | C22×2−1+4 | C23 | 1 | 60 | yes | complemented |
| 97 | C22×2−1+4 | C23 | 1 | 120 | yes | complemented |
| 98 | C22×2−1+4 | C23 | 1 | 192 | yes | complemented |
| 99 | C22×H(5,𝔽2) | — | 2 | 320 | no | — |
| 100 | C22×H(5,𝔽2) | C23 | 1 | 10 | yes | — |
| 101 | C22×H(5,𝔽2) | C23 | 1 | 320 | yes | complemented |
| 102 | C22×H(5,𝔽2) | C23 | 1 | 90 | yes | complemented |
| 103 | C22×H(5,𝔽2) | C23 | 1 | 60 | yes | complemented |
| 104 | C22×H(5,𝔽2) | C23 | 1 | 180 | yes | complemented |
| 105 | C22×H(5,𝔽2) | C23 | 1 | 120 | yes | complemented |
| 106 | C22×H(5,𝔽2) | C23 | 1 | 320 | yes | complemented |
| 107 | C23×#41 | — | 2 | 480 | no | — |
| 108 | C23×#41 | C23 | 1 | 15 | yes | — |
| 109 | C23×#41 | C23 | 1 | 45 | yes | complemented |
| 110 | C23×#41 | C23 | 1 | 15 | yes | complemented |
| 111 | C23×#41 | C23 | 1 | 240 | yes | complemented |
| 112 | C23×#41 | C23 | 1 | 20 | yes | complemented |
| 113 | C23×#41 | C23 | 1 | 60 | yes | complemented |
| 114 | C23×#41 | C23 | 1 | 60 | yes | complemented |
| 115 | C23×#41 | C23 | 1 | 60 | yes | complemented |
| 116 | C23×#41 | C23 | 1 | 240 | yes | complemented |
| 117 | C23×#41 | C23 | 1 | 45 | yes | complemented |
| 118 | C23×#41 | C23 | 1 | 60 | yes | complemented |
| 119 | C23×#41 | C23 | 1 | 240 | yes | complemented |
| 120 | C24×Q8 | C23 | 1 | 15 | yes | complemented |
| 121 | C24×D4 | C23 | 1 | 45 | yes | complemented |
| 122 | C25×C4 | C23 | 1 | 15 | yes | complemented |
| 123 | #3500 | C23 | 1 | 1920 | yes | complemented |
| 124 | #3500 | C23 | 1 | 1920 | yes | complemented |
| 125 | #3499 | C23 | 1 | 1920 | yes | complemented |
| 126 | #3498 | C23 | 1 | 1920 | yes | complemented |
| 127 | #3497 | C23 | 1 | 1920 | yes | complemented |
| 128 | #3496 | C23 | 1 | 5760 | yes | complemented |
| 129 | #3489 | C23 | 1 | 1920 | yes | complemented |
| 130 | #3489 | C23 | 1 | 640 | yes | complemented |
| 131 | #3489 | C23 | 1 | 1920 | yes | complemented |
| 132 | #3489 | C23 | 1 | 1920 | yes | complemented |
| 133 | #3489 | C23 | 1 | 3840 | yes | complemented |
| 134 | #3488 | C23 | 1 | 1920 | yes | complemented |
| 135 | #3488 | C23 | 1 | 640 | yes | complemented |
| 136 | #3488 | C23 | 1 | 1920 | yes | complemented |
| 137 | #3488 | C23 | 1 | 1920 | yes | complemented |
| 138 | #3488 | C23 | 1 | 3840 | yes | complemented |
| 139 | #3487 | C23 | 1 | 160 | yes | complemented |
| 140 | #3487 | C23 | 1 | 480 | yes | complemented |
| 141 | #3487 | C23 | 1 | 960 | yes | complemented |
| 142 | #3487 | C23 | 1 | 960 | yes | complemented |
| 143 | #3486 | C23 | 1 | 160 | yes | complemented |
| 144 | #3486 | C23 | 1 | 480 | yes | complemented |
| 145 | #3486 | C23 | 1 | 960 | yes | complemented |
| 146 | #3486 | C23 | 1 | 960 | yes | complemented |
| 147 | #3485 | C23 | 1 | 480 | yes | complemented |
| 148 | #3485 | C23 | 1 | 1440 | yes | complemented |
| 149 | #3485 | C23 | 1 | 2880 | yes | complemented |
| 150 | #3485 | C23 | 1 | 2880 | yes | complemented |
| 151 | #3484 | C23 | 1 | 480 | yes | complemented |
| 152 | #3484 | C23 | 1 | 1440 | yes | complemented |
| 153 | #3484 | C23 | 1 | 2880 | yes | complemented |
| 154 | #3484 | C23 | 1 | 2880 | yes | complemented |
| 155 | D4×#41 | C23 | 1 | 3840 | yes | complemented |
| 156 | D4×#41 | C23 | 1 | 1280 | yes | complemented |
| 157 | D4×#41 | C23 | 1 | 3840 | yes | complemented |
| 158 | D4×#41 | C23 | 1 | 3840 | yes | complemented |
| 159 | C2×#550 | C23 | 1 | 480 | yes | complemented |
| 160 | C2×D4×Q8 | C23 | 1 | 480 | yes | complemented |
| 161 | C2×#548 | C23 | 1 | 480 | yes | complemented |
| 162 | C2×#548 | C23 | 1 | 480 | yes | complemented |
| 163 | C2×#547 | C23 | 1 | 1440 | yes | complemented |
| 164 | C2×#546 | C23 | 1 | 1440 | yes | complemented |
| 165 | C2×#546 | C23 | 1 | 1440 | yes | complemented |
| 166 | C2×D42 | C23 | 1 | 1440 | yes | complemented |
| 167 | #3449 | C23 | 1 | 480 | yes | complemented |
| 168 | #3449 | C23 | 1 | 1440 | yes | complemented |
| 169 | #3449 | C23 | 1 | 1440 | yes | complemented |
| 170 | #3449 | C23 | 1 | 1440 | yes | complemented |
| 171 | C2×#537 | C23 | 1 | 720 | yes | complemented |
| 172 | C2×#536 | C23 | 1 | 360 | yes | complemented |
| 173 | C2×#536 | C23 | 1 | 360 | yes | complemented |
| 174 | C2×#535 | C23 | 1 | 360 | yes | complemented |
| 175 | C2×#535 | C23 | 1 | 360 | yes | complemented |
| 176 | C2×#534 | C23 | 1 | 720 | yes | complemented |
| 177 | C2×#532 | C23 | 1 | 720 | yes | complemented |
| 178 | C2×#525 | C23 | 1 | 360 | yes | complemented |
| 179 | C2×#525 | C23 | 1 | 120 | yes | complemented |
| 180 | C2×#525 | C23 | 1 | 360 | yes | complemented |
| 181 | C2×#525 | C23 | 1 | 360 | yes | complemented |
| 182 | C2×#525 | C23 | 1 | 720 | yes | complemented |
| 183 | C2×#525 | C23 | 1 | 720 | yes | complemented |
| 184 | C2×#525 | C23 | 1 | 720 | yes | complemented |
| 185 | C22×#123 | C23 | 1 | 120 | yes | complemented |
| 186 | C22×C22⋊Q8 | C23 | 1 | 120 | yes | complemented |
| 187 | C22×#121 | C23 | 1 | 120 | yes | complemented |
| 188 | C22×#120 | C23 | 1 | 120 | yes | complemented |
| 189 | C4×2−1+4 | C23 | 1 | 384 | yes | complemented |
| 190 | C4×H(5,𝔽2) | C23 | 1 | 640 | yes | complemented |
| 191 | #3428 | C23 | 1 | 80 | yes | complemented |
| 192 | #3428 | C23 | 1 | 240 | yes | complemented |
| 193 | #3428 | C23 | 1 | 240 | yes | complemented |
| 194 | #3428 | C23 | 1 | 240 | yes | complemented |
| 195 | C2×#520 | C23 | 1 | 240 | yes | complemented |
| 196 | C2×#519 | C23 | 1 | 60 | yes | complemented |
| 197 | C2×#518 | C23 | 1 | 180 | yes | complemented |
| 198 | C2×C4×#41 | C23 | 1 | 240 | yes | complemented |
| 199 | C22×C4×D4 | C23 | 1 | 240 | yes | complemented |
| 200 | C22×#117 | C23 | 1 | 60 | yes | complemented |
| 201 | C26 | C24 | 1 | 15 | yes | — |
| 202 | #585 | — | 2 | 3072 | no | — |
| 203 | #585 | — | 2 | 3072 | no | — |
| 204 | #585 | — | 2 | 5120 | no | — |
| 205 | #585 | — | 2 | 5120 | no | — |
| 206 | #585 | — | 2 | 3840 | no | — |
| 207 | #585 | — | 2 | 3840 | no | — |
| 208 | #585 | — | 2 | 1280 | no | — |
| 209 | #585 | — | 2 | 3840 | no | — |
| 210 | #585 | — | 2 | 3840 | no | — |
| 211 | #585 | — | 2 | 3840 | no | — |
| 212 | #585 | C2×D4 | 1 | 512 | yes | complemented |
| 213 | #585 | C2×D4 | 1 | 512 | yes | complemented |
| 214 | C2×2−1+4 | — | 2 | 3072 | no | — |
| 215 | C2×2−1+4 | — | 2 | 3072 | no | — |
| 216 | C2×2−1+4 | — | 2 | 960 | no | — |
| 217 | C2×2−1+4 | — | 2 | 1920 | no | — |
| 218 | C2×2−1+4 | — | 2 | 480 | no | — |
| 219 | C2×2−1+4 | — | 2 | 960 | no | — |
| 220 | C2×2−1+4 | C2×D4 | 1 | 192 | yes | complemented |
| 221 | C2×2−1+4 | C24 | 1 | 160 | yes | — |
| 222 | C2×2−1+4 | C24 | 1 | 480 | yes | — |
| 223 | C2×2−1+4 | C24 | 1 | 960 | yes | — |
| 224 | C2×2−1+4 | C24 | 1 | 96 | yes | — |
| 225 | C2×2−1+4 | C24 | 1 | 480 | yes | complemented |
| 226 | C2×2−1+4 | C24 | 1 | 320 | yes | complemented |
| 227 | C2×2−1+4 | C24 | 1 | 960 | yes | complemented |
| 228 | C2×H(5,𝔽2) | — | 2 | 5120 | no | — |
| 229 | C2×H(5,𝔽2) | — | 2 | 5120 | no | — |
| 230 | C2×H(5,𝔽2) | — | 2 | 960 | no | — |
| 231 | C2×H(5,𝔽2) | — | 2 | 1920 | no | — |
| 232 | C2×H(5,𝔽2) | — | 2 | 1440 | no | — |
| 233 | C2×H(5,𝔽2) | — | 2 | 2880 | no | — |
| 234 | C2×H(5,𝔽2) | C2×D4 | 1 | 320 | yes | complemented |
| 235 | C2×H(5,𝔽2) | C24 | 1 | 480 | yes | — |
| 236 | C2×H(5,𝔽2) | C24 | 1 | 1440 | yes | — |
| 237 | C2×H(5,𝔽2) | C24 | 1 | 960 | yes | — |
| 238 | C2×H(5,𝔽2) | C24 | 1 | 160 | yes | — |
| 239 | C2×H(5,𝔽2) | C24 | 1 | 1440 | yes | complemented |
| 240 | C2×H(5,𝔽2) | C24 | 1 | 320 | yes | complemented |
| 241 | C2×H(5,𝔽2) | C24 | 1 | 960 | yes | complemented |
| 242 | C22×#41 | — | 2 | 320 | no | — |
| 243 | C22×#41 | — | 2 | 960 | no | — |
| 244 | C22×#41 | — | 2 | 3840 | no | — |
| 245 | C22×#41 | — | 2 | 3840 | no | — |
| 246 | C22×#41 | — | 2 | 960 | no | — |
| 247 | C22×#41 | — | 2 | 960 | no | — |
| 248 | C22×#41 | — | 2 | 3840 | no | — |
| 249 | C22×#41 | — | 2 | 240 | no | — |
| 250 | C22×#41 | — | 2 | 720 | no | — |
| 251 | C22×#41 | — | 2 | 720 | no | — |
| 252 | C22×#41 | — | 2 | 960 | no | — |
| 253 | C22×#41 | C2×D4 | 1 | 480 | yes | complemented |
| 254 | C22×#41 | C24 | 1 | 60 | yes | — |
| 255 | C22×#41 | C24 | 1 | 160 | yes | — |
| 256 | C22×#41 | C24 | 1 | 60 | yes | — |
| 257 | C22×#41 | C24 | 1 | 20 | yes | — |
| 258 | C22×#41 | C24 | 1 | 160 | yes | — |
| 259 | C22×#41 | C24 | 1 | 180 | yes | — |
| 260 | C22×#41 | C24 | 1 | 960 | yes | — |
| 261 | C22×#41 | C24 | 1 | 180 | yes | — |
| 262 | C22×#41 | C24 | 1 | 60 | yes | — |
| 263 | C22×#41 | C24 | 1 | 120 | yes | — |
| 264 | C22×#41 | C24 | 1 | 360 | yes | — |
| 265 | C22×#41 | C24 | 1 | 360 | yes | — |
| 266 | C22×#41 | C24 | 1 | 720 | yes | — |
| 267 | C22×#41 | C24 | 1 | 240 | yes | — |
| 268 | C22×#41 | C24 | 1 | 480 | yes | — |
| 269 | C22×#41 | C24 | 1 | 960 | yes | — |
| 270 | C22×#41 | C24 | 1 | 480 | yes | — |
| 271 | C22×#41 | C24 | 1 | 360 | yes | — |
| 272 | C22×#41 | C24 | 1 | 20 | yes | — |
| 273 | C22×#41 | C24 | 1 | 120 | yes | — |
| 274 | C22×#41 | C24 | 1 | 60 | yes | — |
| 275 | C22×#41 | C24 | 1 | 120 | yes | — |
| 276 | C22×#41 | C24 | 1 | 360 | yes | complemented |
| 277 | C22×#41 | C24 | 1 | 640 | yes | complemented |
| 278 | C22×#41 | C24 | 1 | 360 | yes | complemented |
| 279 | C22×#41 | C24 | 1 | 720 | yes | complemented |
| 280 | C22×#41 | C24 | 1 | 240 | yes | complemented |
| 281 | C22×#41 | C24 | 1 | 1920 | yes | complemented |
| 282 | C23×Q8 | — | 2 | 240 | no | — |
| 283 | C23×Q8 | C24 | 1 | 20 | yes | — |
| 284 | C23×Q8 | C24 | 1 | 45 | yes | — |
| 285 | C23×Q8 | C24 | 1 | 240 | yes | — |
| 286 | C23×Q8 | C24 | 1 | 60 | yes | — |
| 287 | C23×Q8 | C24 | 1 | 15 | yes | — |
| 288 | C23×Q8 | C24 | 1 | 60 | yes | complemented |
| 289 | C23×Q8 | C24 | 1 | 240 | yes | complemented |
| 290 | C23×D4 | — | 2 | 720 | no | — |
| 291 | C23×D4 | C24 | 1 | 60 | yes | — |
| 292 | C23×D4 | C24 | 1 | 90 | yes | — |
| 293 | C23×D4 | C24 | 1 | 45 | yes | — |
| 294 | C23×D4 | C24 | 1 | 720 | yes | — |
| 295 | C23×D4 | C24 | 1 | 180 | yes | — |
| 296 | C23×D4 | C24 | 1 | 120 | yes | — |
| 297 | C23×D4 | C24 | 1 | 240 | yes | — |
| 298 | C23×D4 | C24 | 1 | 45 | yes | — |
| 299 | C23×D4 | C24 | 1 | 60 | yes | complemented |
| 300 | C23×D4 | C24 | 1 | 720 | yes | complemented |
| 301 | C24×C4 | — | 2 | 240 | no | — |
| 302 | C24×C4 | C24 | 1 | 15 | yes | — |
| 303 | C24×C4 | C24 | 1 | 45 | yes | — |
| 304 | C24×C4 | C24 | 1 | 120 | yes | — |
| 305 | C24×C4 | C24 | 1 | 120 | yes | — |
| 306 | C24×C4 | C24 | 1 | 15 | yes | — |
| 307 | C24×C4 | C24 | 1 | 45 | yes | — |
| 308 | C24×C4 | C24 | 1 | 45 | yes | — |
| 309 | C24×C4 | C24 | 1 | 15 | yes | — |
| 310 | C24×C4 | C24 | 1 | 120 | yes | complemented |
| 311 | #550 | C24 | 1 | 1280 | yes | complemented |
| 312 | #550 | C24 | 1 | 3840 | yes | complemented |
| 313 | D4×Q8 | C24 | 1 | 1280 | yes | — |
| 314 | D4×Q8 | C24 | 1 | 3840 | yes | complemented |
| 315 | #548 | C24 | 1 | 1280 | yes | — |
| 316 | #548 | C24 | 1 | 1280 | yes | complemented |
| 317 | #548 | C24 | 1 | 3840 | yes | complemented |
| 318 | #548 | C24 | 1 | 3840 | yes | complemented |
| 319 | #547 | C24 | 1 | 3840 | yes | complemented |
| 320 | #547 | C24 | 1 | 11520 | yes | complemented |
| 321 | #546 | C24 | 1 | 3840 | yes | — |
| 322 | #546 | C24 | 1 | 3840 | yes | complemented |
| 323 | #546 | C24 | 1 | 11520 | yes | complemented |
| 324 | #546 | C24 | 1 | 11520 | yes | complemented |
| 325 | D42 | C24 | 1 | 3840 | yes | — |
| 326 | D42 | C24 | 1 | 11520 | yes | complemented |
| 327 | #537 | C24 | 1 | 1920 | yes | complemented |
| 328 | #537 | C24 | 1 | 5760 | yes | complemented |
| 329 | #536 | C24 | 1 | 960 | yes | — |
| 330 | #536 | C24 | 1 | 960 | yes | complemented |
| 331 | #536 | C24 | 1 | 2880 | yes | complemented |
| 332 | #536 | C24 | 1 | 2880 | yes | complemented |
| 333 | #535 | C24 | 1 | 960 | yes | — |
| 334 | #535 | C24 | 1 | 960 | yes | complemented |
| 335 | #535 | C24 | 1 | 2880 | yes | complemented |
| 336 | #535 | C24 | 1 | 2880 | yes | complemented |
| 337 | #534 | C24 | 1 | 1920 | yes | — |
| 338 | #534 | C24 | 1 | 5760 | yes | complemented |
| 339 | #532 | C24 | 1 | 1920 | yes | complemented |
| 340 | #532 | C24 | 1 | 5760 | yes | complemented |
| 341 | C2×C4⋊Q8 | C24 | 1 | 720 | yes | complemented |
| 342 | C2×#127 | C24 | 1 | 720 | yes | complemented |
| 343 | C2×#124 | C24 | 1 | 720 | yes | complemented |
| 344 | C2×#124 | C24 | 1 | 720 | yes | complemented |
| 345 | #525 | C24 | 1 | 16 | yes | — |
| 346 | #525 | C24 | 1 | 240 | yes | — |
| 347 | #525 | C24 | 1 | 480 | yes | — |
| 348 | #525 | C24 | 1 | 240 | yes | — |
| 349 | #525 | C24 | 1 | 240 | yes | — |
| 350 | #525 | C24 | 1 | 480 | yes | — |
| 351 | #525 | C24 | 1 | 1440 | yes | — |
| 352 | #525 | C24 | 1 | 2880 | yes | — |
| 353 | #525 | C24 | 1 | 1440 | yes | complemented |
| 354 | #525 | C24 | 1 | 1920 | yes | complemented |
| 355 | #525 | C24 | 1 | 1440 | yes | complemented |
| 356 | #525 | C24 | 1 | 2880 | yes | complemented |
| 357 | #525 | C24 | 1 | 5760 | yes | complemented |
| 358 | C2×#123 | C24 | 1 | 240 | yes | — |
| 359 | C2×#123 | C24 | 1 | 720 | yes | — |
| 360 | C2×#123 | C24 | 1 | 1440 | yes | complemented |
| 361 | C2×#123 | C24 | 1 | 1440 | yes | complemented |
| 362 | C2×C22⋊Q8 | C24 | 1 | 240 | yes | — |
| 363 | C2×C22⋊Q8 | C24 | 1 | 720 | yes | — |
| 364 | C2×C22⋊Q8 | C24 | 1 | 720 | yes | complemented |
| 365 | C2×C22⋊Q8 | C24 | 1 | 720 | yes | complemented |
| 366 | C2×C22⋊Q8 | C24 | 1 | 1440 | yes | complemented |
| 367 | C2×#121 | C24 | 1 | 240 | yes | — |
| 368 | C2×#121 | C24 | 1 | 720 | yes | — |
| 369 | C2×#121 | C24 | 1 | 720 | yes | complemented |
| 370 | C2×#121 | C24 | 1 | 720 | yes | complemented |
| 371 | C2×#121 | C24 | 1 | 1440 | yes | complemented |
| 372 | C2×#121 | C24 | 1 | 2880 | yes | complemented |
| 373 | C2×#120 | C24 | 1 | 240 | yes | — |
| 374 | C2×#120 | C24 | 1 | 720 | yes | — |
| 375 | C2×#120 | C24 | 1 | 1440 | yes | — |
| 376 | C2×#120 | C24 | 1 | 1440 | yes | complemented |
| 377 | #520 | C24 | 1 | 640 | yes | complemented |
| 378 | #520 | C24 | 1 | 1920 | yes | complemented |
| 379 | #519 | C24 | 1 | 160 | yes | — |
| 380 | #519 | C24 | 1 | 480 | yes | complemented |
| 381 | #518 | C24 | 1 | 480 | yes | — |
| 382 | #518 | C24 | 1 | 1440 | yes | complemented |
| 383 | C4×#41 | C24 | 1 | 640 | yes | complemented |
| 384 | C4×#41 | C24 | 1 | 1920 | yes | complemented |
| 385 | C2×C4×Q8 | C24 | 1 | 480 | yes | complemented |
| 386 | C2×C4×D4 | C24 | 1 | 480 | yes | — |
| 387 | C2×C4×D4 | C24 | 1 | 1440 | yes | — |
| 388 | C2×C4×D4 | C24 | 1 | 1440 | yes | complemented |
| 389 | C2×C4×D4 | C24 | 1 | 1440 | yes | complemented |
| 390 | C2×C4×D4 | C24 | 1 | 1440 | yes | complemented |
| 391 | C2×#117 | C24 | 1 | 120 | yes | — |
| 392 | C2×#117 | C24 | 1 | 360 | yes | — |
| 393 | C2×#117 | C24 | 1 | 360 | yes | complemented |
| 394 | C2×#117 | C24 | 1 | 360 | yes | complemented |
| 395 | C22×C4⋊C4 | C24 | 1 | 120 | yes | complemented |
| 396 | C22×C4⋊C4 | C24 | 1 | 240 | yes | complemented |
| 397 | C22×C22⋊C4 | C24 | 1 | 120 | yes | — |
| 398 | C22×C22⋊C4 | C24 | 1 | 240 | yes | — |
| 399 | C22×C22⋊C4 | C24 | 1 | 240 | yes | complemented |
| 400 | C22×C42 | C24 | 1 | 120 | yes | complemented |
| 401 | C25 | — | 2 | 120 | no | — |
| 402 | C25 | — | 8 | 60 | no | — |
| 403 | C25 | C25 | 1 | 15 | yes | — |
| 404 | C25 | C25 | 1 | 120 | yes | — |
| 405 | C25 | C25 | 1 | 120 | yes | — |
| 406 | C25 | C25 | 1 | 45 | yes | — |
| 407 | C25 | C25 | 1 | 15 | yes | — |
| 408 | 2−1+4 | — | 2 | 7680 | no | — |
| 409 | 2−1+4 | — | 2 | 2560 | no | — |
| 410 | 2−1+4 | — | 2 | 7680 | no | — |
| 411 | 2−1+4 | — | 2 | 1280 | no | — |
| 412 | 2−1+4 | — | 2 | 3840 | no | — |
| 413 | 2−1+4 | — | 2 | 3840 | no | — |
| 414 | 2−1+4 | C22×D4 | 1 | 1536 | yes | complemented |
| 415 | H(5,𝔽2) | — | 2 | 7680 | no | — |
| 416 | H(5,𝔽2) | — | 2 | 2560 | no | — |
| 417 | H(5,𝔽2) | — | 2 | 7680 | no | — |
| 418 | H(5,𝔽2) | — | 2 | 3840 | no | — |
| 419 | H(5,𝔽2) | — | 2 | 11520 | no | — |
| 420 | H(5,𝔽2) | — | 2 | 11520 | no | — |
| 421 | H(5,𝔽2) | C22×D4 | 1 | 2560 | yes | complemented |
| 422 | C2×#41 | — | 2 | 1280 | no | — |
| 423 | C2×#41 | — | 2 | 1280 | no | — |
| 424 | C2×#41 | — | 2 | 7680 | no | — |
| 425 | C2×#41 | — | 2 | 7680 | no | — |
| 426 | C2×#41 | — | 2 | 3840 | no | — |
| 427 | C2×#41 | — | 2 | 3840 | no | — |
| 428 | C2×#41 | — | 2 | 5120 | no | — |
| 429 | C2×#41 | — | 2 | 15360 | no | — |
| 430 | C2×#41 | — | 2 | 160 | no | — |
| 431 | C2×#41 | — | 2 | 480 | no | — |
| 432 | C2×#41 | — | 2 | 1920 | no | — |
| 433 | C2×#41 | — | 2 | 1920 | no | — |
| 434 | C2×#41 | — | 2 | 480 | no | — |
| 435 | C2×#41 | — | 2 | 1440 | no | — |
| 436 | C2×#41 | — | 2 | 5760 | no | — |
| 437 | C2×#41 | — | 2 | 5760 | no | — |
| 438 | C2×#41 | — | 2 | 480 | no | — |
| 439 | C2×#41 | — | 2 | 1440 | no | — |
| 440 | C2×#41 | — | 2 | 960 | no | — |
| 441 | C2×#41 | — | 2 | 2880 | no | — |
| 442 | C2×#41 | — | 2 | 2880 | no | — |
| 443 | C2×#41 | — | 2 | 2880 | no | — |
| 444 | C2×#41 | — | 2 | 2880 | no | — |
| 445 | C2×#41 | — | 2 | 2880 | no | — |
| 446 | C2×#41 | C22×D4 | 1 | 320 | yes | complemented |
| 447 | C2×#41 | C22×D4 | 1 | 1920 | yes | complemented |
| 448 | C2×#41 | C22×D4 | 1 | 960 | yes | complemented |
| 449 | C2×#41 | C22×D4 | 1 | 1920 | yes | complemented |
| 450 | C2×#41 | C25 | 1 | 16 | yes | — |
| 451 | C2×#41 | C25 | 1 | 240 | yes | — |
| 452 | C2×#41 | C25 | 1 | 240 | yes | — |
| 453 | C2×#41 | C25 | 1 | 240 | yes | — |
| 454 | C2×#41 | C25 | 1 | 1440 | yes | — |
| 455 | C2×#41 | C25 | 1 | 240 | yes | — |
| 456 | C2×#41 | C25 | 1 | 1440 | yes | — |
| 457 | C2×#41 | C25 | 1 | 240 | yes | — |
| 458 | C2×#41 | C25 | 1 | 1920 | yes | — |
| 459 | C2×#41 | C25 | 1 | 480 | yes | — |
| 460 | C2×#41 | C25 | 1 | 1440 | yes | — |
| 461 | C2×#41 | C25 | 1 | 640 | yes | — |
| 462 | C2×#41 | C25 | 1 | 160 | yes | — |
| 463 | C2×#41 | C25 | 1 | 480 | yes | — |
| 464 | C2×#41 | C25 | 1 | 80 | yes | — |
| 465 | C2×#41 | C25 | 1 | 480 | yes | — |
| 466 | C2×#41 | C25 | 1 | 80 | yes | — |
| 467 | C22×Q8 | — | 2 | 160 | no | — |
| 468 | C22×Q8 | — | 2 | 1920 | no | — |
| 469 | C22×Q8 | — | 2 | 480 | no | — |
| 470 | C22×Q8 | — | 2 | 1920 | no | — |
| 471 | C22×Q8 | — | 2 | 360 | no | — |
| 472 | C22×Q8 | — | 2 | 480 | no | — |
| 473 | C22×Q8 | C22×D4 | 1 | 240 | yes | complemented |
| 474 | C22×Q8 | C25 | 1 | 120 | yes | — |
| 475 | C22×Q8 | C25 | 1 | 360 | yes | — |
| 476 | C22×Q8 | C25 | 1 | 360 | yes | — |
| 477 | C22×Q8 | C25 | 1 | 60 | yes | — |
| 478 | C22×Q8 | C25 | 1 | 160 | yes | — |
| 479 | C22×Q8 | C25 | 1 | 640 | yes | — |
| 480 | C22×Q8 | C25 | 1 | 480 | yes | — |
| 481 | C22×Q8 | C25 | 1 | 120 | yes | — |
| 482 | C22×Q8 | C25 | 1 | 20 | yes | — |
| 483 | C22×D4 | — | 2 | 720 | no | — |
| 484 | C22×D4 | — | 2 | 960 | no | — |
| 485 | C22×D4 | — | 2 | 480 | no | — |
| 486 | C22×D4 | — | 2 | 1440 | no | — |
| 487 | C22×D4 | — | 2 | 5760 | no | — |
| 488 | C22×D4 | — | 2 | 5760 | no | — |
| 489 | C22×D4 | — | 2 | 360 | no | — |
| 490 | C22×D4 | — | 2 | 480 | no | — |
| 491 | C22×D4 | — | 8 | 480 | no | — |
| 492 | C22×D4 | C22×D4 | 1 | 720 | yes | complemented |
| 493 | C22×D4 | C25 | 1 | 240 | yes | — |
| 494 | C22×D4 | C25 | 1 | 720 | yes | — |
| 495 | C22×D4 | C25 | 1 | 720 | yes | — |
| 496 | C22×D4 | C25 | 1 | 120 | yes | — |
| 497 | C22×D4 | C25 | 1 | 360 | yes | — |
| 498 | C22×D4 | C25 | 1 | 360 | yes | — |
| 499 | C22×D4 | C25 | 1 | 120 | yes | — |
| 500 | C22×D4 | C25 | 1 | 60 | yes | — |
| 501 | C22×D4 | C25 | 1 | 480 | yes | — |
| 502 | C22×D4 | C25 | 1 | 1920 | yes | — |
| 503 | C22×D4 | C25 | 1 | 1440 | yes | — |
| 504 | C22×D4 | C25 | 1 | 480 | yes | — |
| 505 | C22×D4 | C25 | 1 | 1440 | yes | — |
| 506 | C22×D4 | C25 | 1 | 360 | yes | — |
| 507 | C22×D4 | C25 | 1 | 60 | yes | — |
| 508 | C23×C4 | — | 2 | 120 | no | — |
| 509 | C23×C4 | — | 2 | 120 | no | — |
| 510 | C23×C4 | — | 2 | 360 | no | — |
| 511 | C23×C4 | — | 2 | 360 | no | — |
| 512 | C23×C4 | — | 2 | 360 | no | — |
| 513 | C23×C4 | — | 2 | 960 | no | — |
| 514 | C23×C4 | — | 2 | 960 | no | — |
| 515 | C23×C4 | — | 2 | 960 | no | — |
| 516 | C23×C4 | C22×D4 | 1 | 240 | yes | complemented |
| 517 | C23×C4 | C25 | 1 | 120 | yes | — |
| 518 | C23×C4 | C25 | 1 | 120 | yes | — |
| 519 | C23×C4 | C25 | 1 | 60 | yes | — |
| 520 | C23×C4 | C25 | 1 | 360 | yes | — |
| 521 | C23×C4 | C25 | 1 | 240 | yes | — |
| 522 | C23×C4 | C25 | 1 | 720 | yes | — |
| 523 | C23×C4 | C25 | 1 | 180 | yes | — |
| 524 | C23×C4 | C25 | 1 | 360 | yes | — |
| 525 | C23×C4 | C25 | 1 | 60 | yes | — |
| 526 | C23×C4 | C25 | 1 | 180 | yes | — |
| 527 | C23×C4 | C25 | 1 | 15 | yes | — |
| 528 | C23×C4 | C25 | 1 | 45 | yes | — |
| 529 | C23×C4 | C25 | 1 | 1 | yes | characteristic |
| 530 | C23×C4 | C25 | 1 | 15 | yes | — |
| 531 | C23×C4 | C25 | 1 | 15 | yes | — |
| 532 | C23×C4 | C25 | 1 | 15 | yes | — |
| 533 | C23×C4 | C25 | 1 | 90 | yes | — |
| 534 | C23×C4 | C25 | 1 | 240 | yes | — |
| 535 | C23×C4 | C25 | 1 | 60 | yes | — |
| 536 | C23×C4 | C25 | 1 | 15 | yes | — |
| 537 | C23×C4 | C25 | 1 | 45 | yes | — |
| 538 | C23×C4 | C25 | 1 | 60 | yes | — |
| 539 | C4⋊Q8 | C25 | 1 | 1920 | yes | — |
| 540 | #127 | C25 | 1 | 1920 | yes | — |
| 541 | #124 | C25 | 1 | 1920 | yes | — |
| 542 | #124 | C25 | 1 | 1920 | yes | — |
| 543 | #123 | C25 | 1 | 32 | yes | — |
| 544 | #123 | C25 | 1 | 480 | yes | — |
| 545 | #123 | C25 | 1 | 960 | yes | — |
| 546 | #123 | C25 | 1 | 2880 | yes | — |
| 547 | #123 | C25 | 1 | 3840 | yes | — |
| 548 | C22⋊Q8 | C25 | 1 | 32 | yes | — |
| 549 | C22⋊Q8 | C25 | 1 | 480 | yes | — |
| 550 | C22⋊Q8 | C25 | 1 | 480 | yes | — |
| 551 | C22⋊Q8 | C25 | 1 | 480 | yes | — |
| 552 | C22⋊Q8 | C25 | 1 | 2880 | yes | — |
| 553 | C22⋊Q8 | C25 | 1 | 3840 | yes | — |
| 554 | #121 | C25 | 1 | 32 | yes | — |
| 555 | #121 | C25 | 1 | 480 | yes | — |
| 556 | #121 | C25 | 1 | 480 | yes | — |
| 557 | #121 | C25 | 1 | 480 | yes | — |
| 558 | #121 | C25 | 1 | 2880 | yes | — |
| 559 | #121 | C25 | 1 | 3840 | yes | — |
| 560 | #121 | C25 | 1 | 7680 | yes | — |
| 561 | #120 | C25 | 1 | 32 | yes | — |
| 562 | #120 | C25 | 1 | 480 | yes | — |
| 563 | #120 | C25 | 1 | 960 | yes | — |
| 564 | #120 | C25 | 1 | 2880 | yes | — |
| 565 | #120 | C25 | 1 | 3840 | yes | — |
| 566 | C4×Q8 | C25 | 1 | 1280 | yes | — |
| 567 | C4×D4 | C25 | 1 | 64 | yes | — |
| 568 | C4×D4 | C25 | 1 | 960 | yes | — |
| 569 | C4×D4 | C25 | 1 | 960 | yes | — |
| 570 | C4×D4 | C25 | 1 | 960 | yes | — |
| 571 | C4×D4 | C25 | 1 | 5760 | yes | — |
| 572 | C4×D4 | C25 | 1 | 3840 | yes | — |
| 573 | #117 | C25 | 1 | 16 | yes | — |
| 574 | #117 | C25 | 1 | 240 | yes | — |
| 575 | #117 | C25 | 1 | 240 | yes | — |
| 576 | #117 | C25 | 1 | 240 | yes | — |
| 577 | #117 | C25 | 1 | 1440 | yes | — |
| 578 | C2×C4⋊C4 | C25 | 1 | 240 | yes | — |
| 579 | C2×C4⋊C4 | C25 | 1 | 480 | yes | — |
| 580 | C2×C4⋊C4 | C25 | 1 | 720 | yes | — |
| 581 | C2×C4⋊C4 | C25 | 1 | 1440 | yes | — |
| 582 | C2×C22⋊C4 | C25 | 1 | 240 | yes | — |
| 583 | C2×C22⋊C4 | C25 | 1 | 480 | yes | — |
| 584 | C2×C22⋊C4 | C25 | 1 | 720 | yes | — |
| 585 | C2×C22⋊C4 | C25 | 1 | 1440 | yes | — |
| 586 | C2×C22⋊C4 | C25 | 1 | 480 | yes | — |
| 587 | C2×C22⋊C4 | C25 | 1 | 1440 | yes | — |
| 588 | C2×C42 | C25 | 1 | 240 | yes | — |
| 589 | C2×C42 | C25 | 1 | 720 | yes | — |
| 590 | C24 | — | 2 | 60 | no | — |
| 591 | C24 | — | 2 | 480 | no | — |
| 592 | C24 | — | 2 | 180 | no | — |
| 593 | C24 | — | 2 | 480 | no | — |
| 594 | C24 | — | 4 | 60 | no | — |
| 595 | C24 | — | 4 | 240 | no | — |
| 596 | C24 | — | 8 | 30 | no | — |
| 597 | C24 | — | 8 | 120 | no | — |
| 598 | C24 | — | 8 | 90 | no | — |
| 599 | C24 | — | 8 | 240 | no | — |
| 600 | C24 | — | 8 | 480 | no | — |
| 601 | C24 | C23×D4 | 1 | 120 | yes | — |
| 602 | C24 | C26 | 1 | 1 | yes | characteristic |
| 603 | C24 | C26 | 1 | 60 | yes | — |
| 604 | C24 | C26 | 1 | 240 | yes | — |
| 605 | C24 | C26 | 1 | 180 | yes | — |
| 606 | C24 | C26 | 1 | 15 | yes | — |
| 607 | C24 | C26 | 1 | 15 | yes | — |
| 608 | C24 | C26 | 1 | 60 | yes | — |
| 609 | #41 | — | 2 | 640 | no | — |
| 610 | #41 | — | 2 | 1920 | no | — |
| 611 | #41 | — | 2 | 2560 | no | — |
| 612 | #41 | — | 2 | 1920 | no | — |
| 613 | #41 | — | 2 | 5760 | no | — |
| 614 | #41 | — | 2 | 7680 | no | — |
| 615 | #41 | — | 2 | 64 | no | — |
| 616 | #41 | — | 2 | 960 | no | — |
| 617 | #41 | — | 2 | 960 | no | — |
| 618 | #41 | — | 2 | 960 | no | — |
| 619 | #41 | — | 2 | 960 | no | — |
| 620 | #41 | — | 2 | 960 | no | — |
| 621 | #41 | — | 2 | 5760 | no | — |
| 622 | #41 | — | 2 | 5760 | no | — |
| 623 | #41 | C23×D4 | 1 | 640 | yes | — |
| 624 | #41 | C23×D4 | 1 | 640 | yes | — |
| 625 | #41 | C23×D4 | 1 | 3840 | yes | — |
| 626 | C2×Q8 | — | 2 | 640 | no | — |
| 627 | C2×Q8 | — | 2 | 1920 | no | — |
| 628 | C2×Q8 | — | 2 | 2560 | no | — |
| 629 | C2×Q8 | — | 2 | 240 | no | — |
| 630 | C2×Q8 | — | 2 | 480 | no | — |
| 631 | C2×Q8 | — | 2 | 1440 | no | — |
| 632 | C2×Q8 | — | 2 | 1440 | no | — |
| 633 | C2×Q8 | C23×D4 | 1 | 160 | yes | — |
| 634 | C2×Q8 | C23×D4 | 1 | 960 | yes | — |
| 635 | C2×Q8 | C26 | 1 | 16 | yes | — |
| 636 | C2×Q8 | C26 | 1 | 240 | yes | — |
| 637 | C2×Q8 | C26 | 1 | 240 | yes | — |
| 638 | C2×Q8 | C26 | 1 | 80 | yes | — |
| 639 | C2×D4 | — | 2 | 480 | no | — |
| 640 | C2×D4 | — | 2 | 960 | no | — |
| 641 | C2×D4 | — | 2 | 2880 | no | — |
| 642 | C2×D4 | — | 2 | 2880 | no | — |
| 643 | C2×D4 | — | 2 | 1920 | no | — |
| 644 | C2×D4 | — | 2 | 5760 | no | — |
| 645 | C2×D4 | — | 2 | 7680 | no | — |
| 646 | C2×D4 | — | 2 | 240 | no | — |
| 647 | C2×D4 | — | 2 | 480 | no | — |
| 648 | C2×D4 | — | 2 | 1440 | no | — |
| 649 | C2×D4 | — | 2 | 1440 | no | — |
| 650 | C2×D4 | — | 4 | 960 | no | — |
| 651 | C2×D4 | — | 8 | 1440 | no | — |
| 652 | C2×D4 | C23×D4 | 1 | 480 | yes | — |
| 653 | C2×D4 | C23×D4 | 1 | 2880 | yes | — |
| 654 | C2×D4 | C26 | 1 | 64 | yes | — |
| 655 | C2×D4 | C26 | 1 | 32 | yes | — |
| 656 | C2×D4 | C26 | 1 | 480 | yes | — |
| 657 | C2×D4 | C26 | 1 | 480 | yes | — |
| 658 | C2×D4 | C26 | 1 | 16 | yes | — |
| 659 | C2×D4 | C26 | 1 | 240 | yes | — |
| 660 | C2×D4 | C26 | 1 | 240 | yes | — |
| 661 | C2×D4 | C26 | 1 | 960 | yes | — |
| 662 | C2×D4 | C26 | 1 | 240 | yes | — |
| 663 | C22×C4 | — | 2 | 60 | no | — |
| 664 | C22×C4 | — | 2 | 180 | no | — |
| 665 | C22×C4 | — | 2 | 480 | no | — |
| 666 | C22×C4 | — | 2 | 480 | no | — |
| 667 | C22×C4 | — | 2 | 4 | no | — |
| 668 | C22×C4 | — | 2 | 60 | no | — |
| 669 | C22×C4 | — | 2 | 60 | no | — |
| 670 | C22×C4 | — | 2 | 60 | no | — |
| 671 | C22×C4 | — | 2 | 240 | no | — |
| 672 | C22×C4 | — | 2 | 240 | no | — |
| 673 | C22×C4 | — | 2 | 360 | no | — |
| 674 | C22×C4 | — | 2 | 1440 | no | — |
| 675 | C22×C4 | — | 2 | 1440 | no | — |
| 676 | C22×C4 | — | 2 | 720 | no | — |
| 677 | C22×C4 | — | 2 | 960 | no | — |
| 678 | C22×C4 | — | 2 | 720 | no | — |
| 679 | C22×C4 | — | 2 | 2880 | no | — |
| 680 | C22×C4 | — | 8 | 240 | no | — |
| 681 | C22×C4 | C23×D4 | 1 | 120 | yes | — |
| 682 | C22×C4 | C23×D4 | 1 | 480 | yes | — |
| 683 | C22×C4 | C23×D4 | 1 | 360 | yes | — |
| 684 | C22×C4 | C23×D4 | 1 | 480 | yes | — |
| 685 | C22×C4 | C26 | 1 | 60 | yes | — |
| 686 | C22×C4 | C26 | 1 | 240 | yes | — |
| 687 | C22×C4 | C26 | 1 | 180 | yes | — |
| 688 | C22×C4 | C26 | 1 | 60 | yes | — |
| 689 | C22×C4 | C26 | 1 | 60 | yes | — |
| 690 | C22×C4 | C26 | 1 | 480 | yes | — |
| 691 | C22×C4 | C26 | 1 | 360 | yes | — |
| 692 | C22×C4 | C26 | 1 | 2 | yes | — |
| 693 | C22×C4 | C26 | 1 | 30 | yes | — |
| 694 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 695 | C22×C4 | C26 | 1 | 15 | yes | — |
| 696 | C22×C4 | C26 | 1 | 2 | yes | — |
| 697 | C22×C4 | C26 | 1 | 32 | yes | — |
| 698 | C22×C4 | C26 | 1 | 30 | yes | — |
| 699 | C22×C4 | C26 | 1 | 480 | yes | — |
| 700 | C22×C4 | C26 | 1 | 180 | yes | — |
| 701 | C22×C4 | C26 | 1 | 30 | yes | — |
| 702 | C22×C4 | C26 | 1 | 15 | yes | — |
| 703 | C22×C4 | C26 | 1 | 30 | yes | — |
| 704 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 705 | C4⋊C4 | C26 | 1 | 32 | yes | — |
| 706 | C4⋊C4 | C26 | 1 | 64 | yes | — |
| 707 | C4⋊C4 | C26 | 1 | 480 | yes | — |
| 708 | C4⋊C4 | C26 | 1 | 960 | yes | — |
| 709 | C22⋊C4 | C26 | 1 | 32 | yes | — |
| 710 | C22⋊C4 | C26 | 1 | 64 | yes | — |
| 711 | C22⋊C4 | C26 | 1 | 64 | yes | — |
| 712 | C22⋊C4 | C26 | 1 | 480 | yes | — |
| 713 | C22⋊C4 | C26 | 1 | 960 | yes | — |
| 714 | C22⋊C4 | C26 | 1 | 960 | yes | — |
| 715 | C42 | C26 | 1 | 480 | yes | — |
| 716 | C42 | C26 | 1 | 32 | yes | — |
| 717 | C23 | — | 2 | 2 | no | — |
| 718 | C23 | — | 2 | 4 | no | — |
| 719 | C23 | — | 2 | 120 | no | — |
| 720 | C23 | — | 2 | 30 | no | — |
| 721 | C23 | — | 2 | 120 | no | — |
| 722 | C23 | — | 2 | 360 | no | — |
| 723 | C23 | — | 2 | 480 | no | — |
| 724 | C23 | — | 4 | 120 | no | — |
| 725 | C23 | — | 4 | 30 | no | — |
| 726 | C23 | — | 4 | 60 | no | — |
| 727 | C23 | — | 4 | 30 | no | — |
| 728 | C23 | — | 4 | 480 | no | — |
| 729 | C23 | — | 4 | 360 | no | — |
| 730 | C23 | — | 4 | 240 | no | — |
| 731 | C23 | — | 8 | 120 | no | — |
| 732 | C23 | — | 8 | 960 | no | — |
| 733 | C23 | — | 8 | 360 | no | — |
| 734 | C23 | — | 16 | 480 | no | — |
| 735 | C23 | C24×D4 | 1 | 60 | yes | — |
| 736 | C23 | C24×D4 | 1 | 240 | yes | — |
| 737 | C23 | C27 | 1 | 32 | yes | — |
| 738 | C23 | C27 | 1 | 30 | yes | — |
| 739 | C23 | C27 | 1 | 1 | yes | characteristic |
| 740 | C23 | C27 | 1 | 30 | yes | — |
| 741 | C23 | C27 | 1 | 2 | yes | — |
| 742 | Q8 | — | 2 | 32 | no | — |
| 743 | Q8 | — | 2 | 480 | no | — |
| 744 | Q8 | — | 2 | 480 | no | — |
| 745 | Q8 | C24×D4 | 1 | 320 | yes | — |
| 746 | D4 | — | 2 | 64 | no | — |
| 747 | D4 | — | 2 | 960 | no | — |
| 748 | D4 | — | 2 | 960 | no | — |
| 749 | D4 | — | 2 | 128 | no | — |
| 750 | D4 | — | 2 | 32 | no | — |
| 751 | D4 | — | 2 | 480 | no | — |
| 752 | D4 | — | 2 | 480 | no | — |
| 753 | D4 | — | 4 | 960 | no | — |
| 754 | D4 | C24×D4 | 1 | 960 | yes | — |
| 755 | C2×C4 | — | 2 | 2 | no | — |
| 756 | C2×C4 | — | 2 | 30 | no | — |
| 757 | C2×C4 | — | 2 | 120 | no | — |
| 758 | C2×C4 | — | 2 | 360 | no | — |
| 759 | C2×C4 | — | 2 | 480 | no | — |
| 760 | C2×C4 | — | 2 | 4 | no | — |
| 761 | C2×C4 | — | 2 | 4 | no | — |
| 762 | C2×C4 | — | 2 | 120 | no | — |
| 763 | C2×C4 | — | 2 | 120 | no | — |
| 764 | C2×C4 | — | 2 | 60 | no | — |
| 765 | C2×C4 | — | 2 | 64 | no | — |
| 766 | C2×C4 | — | 2 | 60 | no | — |
| 767 | C2×C4 | — | 2 | 720 | no | — |
| 768 | C2×C4 | — | 2 | 960 | no | — |
| 769 | C2×C4 | — | 4 | 480 | no | — |
| 770 | C2×C4 | C24×D4 | 1 | 4 | yes | — |
| 771 | C2×C4 | C24×D4 | 1 | 120 | yes | — |
| 772 | C2×C4 | C24×D4 | 1 | 60 | yes | — |
| 773 | C2×C4 | C24×D4 | 1 | 120 | yes | — |
| 774 | C2×C4 | C24×D4 | 1 | 720 | yes | — |
| 775 | C2×C4 | C27 | 1 | 64 | yes | — |
| 776 | C2×C4 | C27 | 1 | 2 | yes | — |
| 777 | C2×C4 | C27 | 1 | 32 | yes | — |
| 778 | C2×C4 | C27 | 1 | 30 | yes | — |
| 779 | C2×C4 | C27 | 1 | 30 | yes | — |
| 780 | C2×C4 | C27 | 1 | 1 | yes | characteristic |
| 781 | C2×C4 | C27 | 1 | 1 | yes | characteristic |
| 782 | C22 | — | 2 | 8 | no | — |
| 783 | C22 | — | 2 | 2 | no | — |
| 784 | C22 | — | 2 | 60 | no | — |
| 785 | C22 | — | 2 | 2 | no | — |
| 786 | C22 | — | 2 | 2 | no | — |
| 787 | C22 | — | 2 | 30 | no | — |
| 788 | C22 | — | 2 | 32 | no | — |
| 789 | C22 | — | 2 | 64 | no | — |
| 790 | C22 | — | 2 | 60 | no | — |
| 791 | C22 | — | 4 | 60 | no | — |
| 792 | C22 | — | 4 | 240 | no | — |
| 793 | C22 | — | 4 | 240 | no | — |
| 794 | C22 | — | 4 | 60 | no | — |
| 795 | C22 | — | 8 | 360 | no | — |
| 796 | C22 | — | 8 | 480 | no | — |
| 797 | C22 | C25×D4 | 1 | 2 | yes | — |
| 798 | C22 | C25×D4 | 1 | 60 | yes | — |
| 799 | C22 | #63103 | 1 | 4 | yes | complemented |
| 800 | C22 | C28 | 1 | 1 | yes | characteristic |
| 801 | C4 | — | 2 | 2 | no | — |
| 802 | C4 | — | 2 | 30 | no | — |
| 803 | C4 | — | 2 | 32 | no | — |
| 804 | C4 | — | 2 | 64 | no | — |
| 805 | C4 | C25×D4 | 1 | 2 | yes | — |
| 806 | C4 | C25×D4 | 1 | 2 | yes | — |
| 807 | C4 | C25×D4 | 1 | 60 | yes | — |
| 808 | C2 | — | 2 | 2 | no | — |
| 809 | C2 | — | 2 | 4 | no | — |
| 810 | C2 | — | 2 | 60 | no | — |
| 811 | C2 | — | 4 | 30 | no | — |
| 812 | C2 | — | 4 | 32 | no | — |
| 813 | C2 | C26×D4 | 1 | 1 | yes | characteristic |
| 814 | C2 | C2×#63103 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 1. C2×#63103 | C2 | semidirect |
| 2. C23×#585 | C2 | semidirect |
| 3. #10586102 | C2 | semidirect |
| 4. #10586096 | C2 | semidirect |
| 5. #10586091 | C2 | semidirect |
| 6. #10586083 | C2 | semidirect |
| 7. #10586076 | C2 | semidirect |
| 8. #10586066 | C2 | semidirect |
| 9. D4×#585 | C2 | semidirect |
| 10. #10586020 | C2 | semidirect |
| 11. C2×#62811 | C2 | semidirect |
| 12. #10585883 | C2 | semidirect |
| 14. C2×2−1+6 | C22 | semidirect |
| 15. C2×2−1+6 | C22 | semidirect |
| 16. C2×H(7,𝔽2) | C22 | semidirect |
| 17. C2×H(7,𝔽2) | C22 | semidirect |
| 20. C22×#585 | C22 | semidirect |
| 21. C22×#585 | C22 | semidirect |
| 22. C22×#585 | C22 | semidirect |
| 23. C22×#585 | C22 | semidirect |
| 24. C22×#585 | C22 | semidirect |
| 25. C22×#585 | C22 | semidirect |
| 26. C22×#585 | C22 | semidirect |
| 27. C23×2−1+4 | C22 | semidirect |
| 28. C23×H(5,𝔽2) | C22 | semidirect |
| 29. C24×#41 | C22 | semidirect |
| 30. #63003 | C22 | semidirect |
| 31. #63002 | C22 | semidirect |
| 32. #63002 | C22 | semidirect |
| 33. D4×2−1+4 | C22 | semidirect |
| 34. #62988 | C22 | semidirect |
| 35. #62987 | C22 | semidirect |
| 36. #62987 | C22 | semidirect |
| 37. D4×H(5,𝔽2) | C22 | semidirect |
| 38. #62859 | C22 | semidirect |
| 39. #62859 | C22 | semidirect |
| 40. #62853 | C22 | semidirect |
| 41. #62852 | C22 | semidirect |
| 42. #62852 | C22 | semidirect |
| 43. #62848 | C22 | semidirect |
| 44. #62842 | C22 | semidirect |
| 45. #62812 | C22 | semidirect |
| 46. #62811 | C22 | semidirect |
| 47. #62811 | C22 | semidirect |
| 48. #62811 | C22 | semidirect |
| 49. #62811 | C22 | semidirect |
| 50. #62811 | C22 | semidirect |
| 51. #62811 | C22 | semidirect |
| 52. #62811 | C22 | semidirect |
| 53. C2×#3489 | C22 | semidirect |
| 54. C2×#3488 | C22 | semidirect |
| 55. C2×#3487 | C22 | semidirect |
| 56. C2×#3486 | C22 | semidirect |
| 57. C2×#3485 | C22 | semidirect |
| 58. C2×#3484 | C22 | semidirect |
| 59. C2×D4×#41 | C22 | semidirect |
| 60. C2×#3449 | C22 | semidirect |
| 61. C22×#525 | C22 | semidirect |
| 62. #62654 | C22 | semidirect |
| 63. #62653 | C22 | semidirect |
| 64. #62652 | C22 | semidirect |
| 65. C4×#585 | C22 | semidirect |
| 66. C2×#3428 | C22 | semidirect |
| 78. C2×#585 | D4 | semidirect |
| 81. C2×#585 | C23 | semidirect |
| 82. C2×#585 | C23 | semidirect |
| 83. C2×#585 | C23 | semidirect |
| 84. C2×#585 | C23 | semidirect |
| 85. C2×#585 | C23 | semidirect |
| 86. C2×#585 | C23 | semidirect |
| 87. C2×#585 | C23 | semidirect |
| 88. C2×#585 | C23 | semidirect |
| 89. C2×#585 | C23 | semidirect |
| 90. C2×#585 | C23 | semidirect |
| 93. C22×2−1+4 | C23 | semidirect |
| 94. C22×2−1+4 | C23 | semidirect |
| 95. C22×2−1+4 | C23 | semidirect |
| 96. C22×2−1+4 | C23 | semidirect |
| 97. C22×2−1+4 | C23 | semidirect |
| 98. C22×2−1+4 | C23 | semidirect |
| 101. C22×H(5,𝔽2) | C23 | semidirect |
| 102. C22×H(5,𝔽2) | C23 | semidirect |
| 103. C22×H(5,𝔽2) | C23 | semidirect |
| 104. C22×H(5,𝔽2) | C23 | semidirect |
| 105. C22×H(5,𝔽2) | C23 | semidirect |
| 106. C22×H(5,𝔽2) | C23 | semidirect |
| 109. C23×#41 | C23 | semidirect |
| 110. C23×#41 | C23 | semidirect |
| 111. C23×#41 | C23 | semidirect |
| 112. C23×#41 | C23 | semidirect |
| 113. C23×#41 | C23 | semidirect |
| 114. C23×#41 | C23 | semidirect |
| 115. C23×#41 | C23 | semidirect |
| 116. C23×#41 | C23 | semidirect |
| 117. C23×#41 | C23 | semidirect |
| 118. C23×#41 | C23 | semidirect |
| 119. C23×#41 | C23 | semidirect |
| 120. C24×Q8 | C23 | semidirect |
| 121. C24×D4 | C23 | semidirect |
| 122. C25×C4 | C23 | semidirect |
| 123. #3500 | C23 | semidirect |
| 124. #3500 | C23 | semidirect |
| 125. #3499 | C23 | semidirect |
| 126. #3498 | C23 | semidirect |
| 127. #3497 | C23 | semidirect |
| 128. #3496 | C23 | semidirect |
| 129. #3489 | C23 | semidirect |
| 130. #3489 | C23 | semidirect |
| 131. #3489 | C23 | semidirect |
| 132. #3489 | C23 | semidirect |
| 133. #3489 | C23 | semidirect |
| 134. #3488 | C23 | semidirect |
| 135. #3488 | C23 | semidirect |
| 136. #3488 | C23 | semidirect |
| 137. #3488 | C23 | semidirect |
| 138. #3488 | C23 | semidirect |
| 139. #3487 | C23 | semidirect |
| 140. #3487 | C23 | semidirect |
| 141. #3487 | C23 | semidirect |
| 142. #3487 | C23 | semidirect |
| 143. #3486 | C23 | semidirect |
| 144. #3486 | C23 | semidirect |
| 145. #3486 | C23 | semidirect |
| 146. #3486 | C23 | semidirect |
| 147. #3485 | C23 | semidirect |
| 148. #3485 | C23 | semidirect |
| 149. #3485 | C23 | semidirect |
| 150. #3485 | C23 | semidirect |
| 151. #3484 | C23 | semidirect |
| 152. #3484 | C23 | semidirect |
| 153. #3484 | C23 | semidirect |
| 154. #3484 | C23 | semidirect |
| 155. D4×#41 | C23 | semidirect |
| 156. D4×#41 | C23 | semidirect |
| 157. D4×#41 | C23 | semidirect |
| 158. D4×#41 | C23 | semidirect |
| 159. C2×#550 | C23 | semidirect |
| 160. C2×D4×Q8 | C23 | semidirect |
| 161. C2×#548 | C23 | semidirect |
| 162. C2×#548 | C23 | semidirect |
| 163. C2×#547 | C23 | semidirect |
| 164. C2×#546 | C23 | semidirect |
| 165. C2×#546 | C23 | semidirect |
| 166. C2×D42 | C23 | semidirect |
| 167. #3449 | C23 | semidirect |
| 168. #3449 | C23 | semidirect |
| 169. #3449 | C23 | semidirect |
| 170. #3449 | C23 | semidirect |
| 171. C2×#537 | C23 | semidirect |
| 172. C2×#536 | C23 | semidirect |
| 173. C2×#536 | C23 | semidirect |
| 174. C2×#535 | C23 | semidirect |
| 175. C2×#535 | C23 | semidirect |
| 176. C2×#534 | C23 | semidirect |
| 177. C2×#532 | C23 | semidirect |
| 178. C2×#525 | C23 | semidirect |
| 179. C2×#525 | C23 | semidirect |
| 180. C2×#525 | C23 | semidirect |
| 181. C2×#525 | C23 | semidirect |
| 182. C2×#525 | C23 | semidirect |
| 183. C2×#525 | C23 | semidirect |
| 184. C2×#525 | C23 | semidirect |
| 185. C22×#123 | C23 | semidirect |
| 186. C22×C22⋊Q8 | C23 | semidirect |
| 187. C22×#121 | C23 | semidirect |
| 188. C22×#120 | C23 | semidirect |
| 189. C4×2−1+4 | C23 | semidirect |
| 190. C4×H(5,𝔽2) | C23 | semidirect |
| 191. #3428 | C23 | semidirect |
| 192. #3428 | C23 | semidirect |
| 193. #3428 | C23 | semidirect |
| 194. #3428 | C23 | semidirect |
| 195. C2×#520 | C23 | semidirect |
| 196. C2×#519 | C23 | semidirect |
| 197. C2×#518 | C23 | semidirect |
| 198. C2×C4×#41 | C23 | semidirect |
| 199. C22×C4×D4 | C23 | semidirect |
| 200. C22×#117 | C23 | semidirect |
| 212. #585 | C2×D4 | semidirect |
| 213. #585 | C2×D4 | semidirect |
| 220. C2×2−1+4 | C2×D4 | semidirect |
| 225. C2×2−1+4 | C24 | semidirect |
| 226. C2×2−1+4 | C24 | semidirect |
| 227. C2×2−1+4 | C24 | semidirect |
| 234. C2×H(5,𝔽2) | C2×D4 | semidirect |
| 239. C2×H(5,𝔽2) | C24 | semidirect |
| 240. C2×H(5,𝔽2) | C24 | semidirect |
| 241. C2×H(5,𝔽2) | C24 | semidirect |
| 253. C22×#41 | C2×D4 | semidirect |
| 276. C22×#41 | C24 | semidirect |
| 277. C22×#41 | C24 | semidirect |
| 278. C22×#41 | C24 | semidirect |
| 279. C22×#41 | C24 | semidirect |
| 280. C22×#41 | C24 | semidirect |
| 281. C22×#41 | C24 | semidirect |
| 288. C23×Q8 | C24 | semidirect |
| 289. C23×Q8 | C24 | semidirect |
| 299. C23×D4 | C24 | semidirect |
| 300. C23×D4 | C24 | semidirect |
| 310. C24×C4 | C24 | semidirect |
| 311. #550 | C24 | semidirect |
| 312. #550 | C24 | semidirect |
| 314. D4×Q8 | C24 | semidirect |
| 316. #548 | C24 | semidirect |
| 317. #548 | C24 | semidirect |
| 318. #548 | C24 | semidirect |
| 319. #547 | C24 | semidirect |
| 320. #547 | C24 | semidirect |
| 322. #546 | C24 | semidirect |
| 323. #546 | C24 | semidirect |
| 324. #546 | C24 | semidirect |
| 326. D42 | C24 | semidirect |
| 327. #537 | C24 | semidirect |
| 328. #537 | C24 | semidirect |
| 330. #536 | C24 | semidirect |
| 331. #536 | C24 | semidirect |
| 332. #536 | C24 | semidirect |
| 334. #535 | C24 | semidirect |
| 335. #535 | C24 | semidirect |
| 336. #535 | C24 | semidirect |
| 338. #534 | C24 | semidirect |
| 339. #532 | C24 | semidirect |
| 340. #532 | C24 | semidirect |
| 341. C2×C4⋊Q8 | C24 | semidirect |
| 342. C2×#127 | C24 | semidirect |
| 343. C2×#124 | C24 | semidirect |
| 344. C2×#124 | C24 | semidirect |
| 353. #525 | C24 | semidirect |
| 354. #525 | C24 | semidirect |
| 355. #525 | C24 | semidirect |
| 356. #525 | C24 | semidirect |
| 357. #525 | C24 | semidirect |
| 360. C2×#123 | C24 | semidirect |
| 361. C2×#123 | C24 | semidirect |
| 364. C2×C22⋊Q8 | C24 | semidirect |
| 365. C2×C22⋊Q8 | C24 | semidirect |
| 366. C2×C22⋊Q8 | C24 | semidirect |
| 369. C2×#121 | C24 | semidirect |
| 370. C2×#121 | C24 | semidirect |
| 371. C2×#121 | C24 | semidirect |
| 372. C2×#121 | C24 | semidirect |
| 376. C2×#120 | C24 | semidirect |
| 377. #520 | C24 | semidirect |
| 378. #520 | C24 | semidirect |
| 380. #519 | C24 | semidirect |
| 382. #518 | C24 | semidirect |
| 383. C4×#41 | C24 | semidirect |
| 384. C4×#41 | C24 | semidirect |
| 385. C2×C4×Q8 | C24 | semidirect |
| 388. C2×C4×D4 | C24 | semidirect |
| 389. C2×C4×D4 | C24 | semidirect |
| 390. C2×C4×D4 | C24 | semidirect |
| 393. C2×#117 | C24 | semidirect |
| 394. C2×#117 | C24 | semidirect |
| 395. C22×C4⋊C4 | C24 | semidirect |
| 396. C22×C4⋊C4 | C24 | semidirect |
| 399. C22×C22⋊C4 | C24 | semidirect |
| 400. C22×C42 | C24 | semidirect |
| 414. 2−1+4 | C22×D4 | semidirect |
| 421. H(5,𝔽2) | C22×D4 | semidirect |
| 446. C2×#41 | C22×D4 | semidirect |
| 447. C2×#41 | C22×D4 | semidirect |
| 448. C2×#41 | C22×D4 | semidirect |
| 449. C2×#41 | C22×D4 | semidirect |
| 473. C22×Q8 | C22×D4 | semidirect |
| 492. C22×D4 | C22×D4 | semidirect |
| 516. C23×C4 | C22×D4 | semidirect |
| 799. C22 | #63103 | semidirect |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta