← #72341669
Subgroups — #72341669
Order 1024.
817673 conjugacy classes of subgroups.
The subgroup lattice has 657 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 | C22×H(7,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10586106 | C2 | 1 | 32 | yes | maximal, complemented |
| 4 | #10586097 | C2 | 1 | 32 | yes | maximal, complemented |
| 5 | #10586096 | C2 | 1 | 64 | yes | maximal, complemented |
| 6 | #10586091 | C2 | 1 | 24 | yes | maximal, complemented |
| 7 | #10586066 | C2 | 1 | 40 | yes | maximal, complemented |
| 8 | #10586020 | C2 | 1 | 30 | yes | maximal, complemented |
| 9 | C2×#62852 | C2 | 1 | 30 | yes | maximal, complemented |
| 10 | #10585883 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #63103 | — | 2 | 64 | no | — |
| 12 | C2×2−1+6 | C22 | 1 | 12 | yes | complemented |
| 13 | C2×2−1+6 | C22 | 1 | 16 | yes | complemented |
| 14 | C2×H(7,𝔽2) | — | 2 | 64 | no | — |
| 15 | C2×H(7,𝔽2) | C22 | 1 | 20 | yes | complemented |
| 16 | C2×H(7,𝔽2) | C22 | 1 | 32 | yes | complemented |
| 17 | C2×H(7,𝔽2) | C22 | 1 | 32 | yes | complemented |
| 18 | C2×H(7,𝔽2) | C22 | 1 | 16 | yes | complemented |
| 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 | 12 | yes | complemented |
| 23 | C22×#585 | C22 | 1 | 32 | yes | complemented |
| 24 | C23×H(5,𝔽2) | C22 | 1 | 15 | yes | complemented |
| 25 | C23×H(5,𝔽2) | C22 | 1 | 20 | yes | complemented |
| 26 | #63003 | C22 | 1 | 768 | yes | complemented |
| 27 | #63002 | C22 | 1 | 768 | yes | complemented |
| 28 | #62987 | C22 | 1 | 1280 | yes | complemented |
| 29 | D4×H(5,𝔽2) | C22 | 1 | 1280 | yes | complemented |
| 30 | #62859 | C22 | 1 | 80 | yes | complemented |
| 31 | #62859 | C22 | 1 | 240 | yes | complemented |
| 32 | #62853 | C22 | 1 | 480 | yes | complemented |
| 33 | #62852 | C22 | 1 | 240 | yes | complemented |
| 34 | #62852 | C22 | 1 | 480 | yes | complemented |
| 35 | #62852 | C22 | 1 | 480 | yes | complemented |
| 36 | #62852 | C22 | 1 | 480 | yes | complemented |
| 37 | #62852 | C22 | 1 | 240 | yes | complemented |
| 38 | #62848 | C22 | 1 | 120 | yes | complemented |
| 39 | #62842 | C22 | 1 | 360 | yes | complemented |
| 40 | #62812 | C22 | 1 | 480 | yes | complemented |
| 41 | #62811 | C22 | 1 | 480 | yes | complemented |
| 42 | #62811 | C22 | 1 | 480 | yes | complemented |
| 43 | C2×#3500 | C22 | 1 | 240 | yes | complemented |
| 44 | C2×#3498 | C22 | 1 | 240 | yes | complemented |
| 45 | C2×#3488 | C22 | 1 | 480 | yes | complemented |
| 46 | C2×#3487 | C22 | 1 | 120 | yes | complemented |
| 47 | C2×#3484 | C22 | 1 | 360 | yes | complemented |
| 48 | C2×#3449 | C22 | 1 | 180 | yes | complemented |
| 49 | C22×#535 | C22 | 1 | 60 | yes | complemented |
| 50 | #62654 | C22 | 1 | 32 | yes | complemented |
| 51 | #62653 | C22 | 1 | 12 | yes | complemented |
| 52 | #62652 | C22 | 1 | 20 | yes | complemented |
| 53 | C4×#585 | C22 | 1 | 32 | yes | complemented |
| 54 | C2×#3428 | C22 | 1 | 30 | yes | complemented |
| 55 | 2−1+6 | — | 2 | 512 | no | — |
| 56 | 2−1+6 | — | 2 | 384 | no | — |
| 57 | H(7,𝔽2) | — | 2 | 1024 | no | — |
| 58 | H(7,𝔽2) | — | 2 | 1024 | no | — |
| 59 | H(7,𝔽2) | — | 2 | 512 | no | — |
| 60 | H(7,𝔽2) | — | 2 | 640 | no | — |
| 61 | C2×#585 | — | 2 | 1024 | no | — |
| 62 | C2×#585 | — | 2 | 384 | no | — |
| 63 | C2×#585 | — | 2 | 480 | no | — |
| 64 | C2×#585 | — | 2 | 960 | no | — |
| 65 | C2×#585 | D4 | 1 | 64 | yes | complemented |
| 66 | C2×#585 | C23 | 1 | 16 | yes | — |
| 67 | C2×#585 | C23 | 1 | 16 | yes | — |
| 68 | C2×#585 | C23 | 1 | 384 | yes | complemented |
| 69 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 70 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 71 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 72 | C2×#585 | C23 | 1 | 80 | yes | complemented |
| 73 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 74 | C2×#585 | C23 | 1 | 240 | yes | complemented |
| 75 | C2×#585 | C23 | 1 | 320 | yes | complemented |
| 76 | C2×#585 | C23 | 1 | 192 | yes | complemented |
| 77 | C22×2−1+4 | C23 | 1 | 6 | yes | — |
| 78 | C22×2−1+4 | C23 | 1 | 30 | yes | complemented |
| 79 | C22×2−1+4 | C23 | 1 | 20 | yes | complemented |
| 80 | C22×2−1+4 | C23 | 1 | 60 | yes | complemented |
| 81 | C22×2−1+4 | C23 | 1 | 120 | yes | complemented |
| 82 | C22×2−1+4 | C23 | 1 | 192 | yes | complemented |
| 83 | C22×H(5,𝔽2) | — | 2 | 640 | no | — |
| 84 | C22×H(5,𝔽2) | — | 2 | 480 | no | — |
| 85 | C22×H(5,𝔽2) | C23 | 1 | 10 | yes | — |
| 86 | C22×H(5,𝔽2) | C23 | 1 | 640 | yes | complemented |
| 87 | C22×H(5,𝔽2) | C23 | 1 | 240 | yes | complemented |
| 88 | C22×H(5,𝔽2) | C23 | 1 | 240 | yes | complemented |
| 89 | C22×H(5,𝔽2) | C23 | 1 | 90 | yes | complemented |
| 90 | C22×H(5,𝔽2) | C23 | 1 | 60 | yes | complemented |
| 91 | C22×H(5,𝔽2) | C23 | 1 | 120 | yes | complemented |
| 92 | C22×H(5,𝔽2) | C23 | 1 | 180 | yes | complemented |
| 93 | C22×H(5,𝔽2) | C23 | 1 | 120 | yes | complemented |
| 94 | C22×H(5,𝔽2) | C23 | 1 | 320 | yes | complemented |
| 95 | C23×#41 | C23 | 1 | 15 | yes | — |
| 96 | C23×#41 | C23 | 1 | 30 | yes | complemented |
| 97 | C23×#41 | C23 | 1 | 120 | yes | complemented |
| 98 | C23×#41 | C23 | 1 | 45 | yes | complemented |
| 99 | C23×#41 | C23 | 1 | 60 | yes | complemented |
| 100 | C23×#41 | C23 | 1 | 240 | yes | complemented |
| 101 | C24×D4 | C23 | 1 | 90 | yes | complemented |
| 102 | C24×D4 | C23 | 1 | 15 | yes | complemented |
| 103 | #3500 | C23 | 1 | 3840 | yes | complemented |
| 104 | #3500 | C23 | 1 | 1920 | yes | complemented |
| 105 | #3500 | C23 | 1 | 640 | yes | complemented |
| 106 | #3499 | C23 | 1 | 640 | yes | complemented |
| 107 | #3498 | C23 | 1 | 3840 | yes | complemented |
| 108 | #3498 | C23 | 1 | 1920 | yes | complemented |
| 109 | #3497 | C23 | 1 | 1920 | yes | complemented |
| 110 | #3496 | C23 | 1 | 5760 | yes | complemented |
| 111 | #3489 | C23 | 1 | 3840 | yes | complemented |
| 112 | #3489 | C23 | 1 | 1280 | yes | complemented |
| 113 | #3488 | C23 | 1 | 3840 | yes | complemented |
| 114 | #3488 | C23 | 1 | 7680 | yes | complemented |
| 115 | #3488 | C23 | 1 | 3840 | yes | complemented |
| 116 | #3487 | C23 | 1 | 960 | yes | complemented |
| 117 | #3487 | C23 | 1 | 1920 | yes | complemented |
| 118 | #3487 | C23 | 1 | 960 | yes | complemented |
| 119 | #3486 | C23 | 1 | 320 | yes | complemented |
| 120 | #3486 | C23 | 1 | 960 | yes | complemented |
| 121 | #3485 | C23 | 1 | 960 | yes | complemented |
| 122 | #3485 | C23 | 1 | 2880 | yes | complemented |
| 123 | #3484 | C23 | 1 | 2880 | yes | complemented |
| 124 | #3484 | C23 | 1 | 5760 | yes | complemented |
| 125 | #3484 | C23 | 1 | 2880 | yes | complemented |
| 126 | D4×#41 | C23 | 1 | 7680 | yes | complemented |
| 127 | C2×#550 | C23 | 1 | 960 | yes | complemented |
| 128 | C2×#548 | C23 | 1 | 960 | yes | complemented |
| 129 | C2×#546 | C23 | 1 | 2880 | yes | complemented |
| 130 | C2×D42 | C23 | 1 | 2880 | yes | complemented |
| 131 | #3449 | C23 | 1 | 1440 | yes | complemented |
| 132 | #3449 | C23 | 1 | 480 | yes | complemented |
| 133 | #3449 | C23 | 1 | 1440 | yes | complemented |
| 134 | #3449 | C23 | 1 | 1440 | yes | complemented |
| 135 | C2×#537 | C23 | 1 | 720 | yes | complemented |
| 136 | C2×#536 | C23 | 1 | 120 | yes | complemented |
| 137 | C2×#536 | C23 | 1 | 360 | yes | complemented |
| 138 | C2×#535 | C23 | 1 | 720 | yes | complemented |
| 139 | C2×#535 | C23 | 1 | 360 | yes | complemented |
| 140 | C2×#535 | C23 | 1 | 720 | yes | complemented |
| 141 | C2×#535 | C23 | 1 | 720 | yes | complemented |
| 142 | C2×#535 | C23 | 1 | 360 | yes | complemented |
| 143 | C2×#534 | C23 | 1 | 720 | yes | complemented |
| 144 | C2×#532 | C23 | 1 | 720 | yes | complemented |
| 145 | C22×#127 | C23 | 1 | 120 | yes | complemented |
| 146 | C22×#124 | C23 | 1 | 120 | yes | complemented |
| 147 | C2×#525 | C23 | 1 | 720 | yes | complemented |
| 148 | C2×#525 | C23 | 1 | 720 | yes | complemented |
| 149 | C22×#121 | C23 | 1 | 240 | yes | complemented |
| 150 | C22×#120 | C23 | 1 | 240 | yes | complemented |
| 151 | C4×2−1+4 | C23 | 1 | 384 | yes | complemented |
| 152 | C4×H(5,𝔽2) | C23 | 1 | 640 | yes | complemented |
| 153 | #3428 | C23 | 1 | 240 | yes | complemented |
| 154 | #3428 | C23 | 1 | 80 | yes | complemented |
| 155 | #3428 | C23 | 1 | 240 | yes | complemented |
| 156 | #3428 | C23 | 1 | 240 | yes | complemented |
| 157 | C2×#520 | C23 | 1 | 240 | yes | complemented |
| 158 | C2×#519 | C23 | 1 | 60 | yes | complemented |
| 159 | C2×#518 | C23 | 1 | 180 | yes | complemented |
| 160 | C2×C4×#41 | C23 | 1 | 240 | yes | complemented |
| 161 | C22×#117 | C23 | 1 | 60 | yes | complemented |
| 162 | C26 | C24 | 1 | 30 | yes | — |
| 163 | #585 | — | 2 | 6144 | no | — |
| 164 | #585 | — | 2 | 3072 | no | — |
| 165 | #585 | — | 2 | 5120 | no | — |
| 166 | #585 | — | 2 | 1280 | no | — |
| 167 | #585 | — | 2 | 3840 | no | — |
| 168 | #585 | — | 2 | 3840 | no | — |
| 169 | #585 | — | 2 | 3840 | no | — |
| 170 | #585 | — | 2 | 3840 | no | — |
| 171 | #585 | — | 2 | 3840 | no | — |
| 172 | #585 | C2×D4 | 1 | 512 | yes | complemented |
| 173 | #585 | C2×D4 | 1 | 512 | yes | complemented |
| 174 | C2×2−1+4 | — | 2 | 3072 | no | — |
| 175 | C2×2−1+4 | — | 2 | 320 | no | — |
| 176 | C2×2−1+4 | — | 2 | 1920 | no | — |
| 177 | C2×2−1+4 | — | 2 | 480 | no | — |
| 178 | C2×2−1+4 | — | 2 | 960 | no | — |
| 179 | C2×2−1+4 | C2×D4 | 1 | 192 | yes | complemented |
| 180 | C2×2−1+4 | C24 | 1 | 160 | yes | — |
| 181 | C2×2−1+4 | C24 | 1 | 480 | yes | — |
| 182 | C2×2−1+4 | C24 | 1 | 160 | yes | — |
| 183 | C2×2−1+4 | C24 | 1 | 160 | yes | — |
| 184 | C2×2−1+4 | C24 | 1 | 96 | yes | — |
| 185 | C2×2−1+4 | C24 | 1 | 480 | yes | complemented |
| 186 | C2×2−1+4 | C24 | 1 | 960 | yes | complemented |
| 187 | C2×2−1+4 | C24 | 1 | 320 | yes | complemented |
| 188 | C2×H(5,𝔽2) | — | 2 | 10240 | no | — |
| 189 | C2×H(5,𝔽2) | — | 2 | 5120 | no | — |
| 190 | C2×H(5,𝔽2) | — | 2 | 1920 | no | — |
| 191 | C2×H(5,𝔽2) | — | 2 | 960 | no | — |
| 192 | C2×H(5,𝔽2) | — | 2 | 3840 | no | — |
| 193 | C2×H(5,𝔽2) | — | 2 | 3840 | no | — |
| 194 | C2×H(5,𝔽2) | — | 2 | 1920 | no | — |
| 195 | C2×H(5,𝔽2) | — | 2 | 1440 | no | — |
| 196 | C2×H(5,𝔽2) | — | 2 | 2880 | no | — |
| 197 | C2×H(5,𝔽2) | C2×D4 | 1 | 320 | yes | complemented |
| 198 | C2×H(5,𝔽2) | C24 | 1 | 1440 | yes | — |
| 199 | C2×H(5,𝔽2) | C24 | 1 | 480 | yes | — |
| 200 | C2×H(5,𝔽2) | C24 | 1 | 1920 | yes | — |
| 201 | C2×H(5,𝔽2) | C24 | 1 | 480 | yes | — |
| 202 | C2×H(5,𝔽2) | C24 | 1 | 480 | yes | — |
| 203 | C2×H(5,𝔽2) | C24 | 1 | 160 | yes | — |
| 204 | C2×H(5,𝔽2) | C24 | 1 | 1440 | yes | complemented |
| 205 | C2×H(5,𝔽2) | C24 | 1 | 960 | yes | complemented |
| 206 | C2×H(5,𝔽2) | C24 | 1 | 320 | yes | complemented |
| 207 | C22×#41 | — | 2 | 1920 | no | — |
| 208 | C22×#41 | — | 2 | 3840 | no | — |
| 209 | C22×#41 | — | 2 | 480 | no | — |
| 210 | C22×#41 | — | 2 | 720 | no | — |
| 211 | C22×#41 | — | 2 | 960 | no | — |
| 212 | C22×#41 | C2×D4 | 1 | 480 | yes | complemented |
| 213 | C22×#41 | C24 | 1 | 60 | yes | — |
| 214 | C22×#41 | C24 | 1 | 180 | yes | — |
| 215 | C22×#41 | C24 | 1 | 120 | yes | — |
| 216 | C22×#41 | C24 | 1 | 120 | yes | — |
| 217 | C22×#41 | C24 | 1 | 120 | yes | — |
| 218 | C22×#41 | C24 | 1 | 360 | yes | — |
| 219 | C22×#41 | C24 | 1 | 360 | yes | — |
| 220 | C22×#41 | C24 | 1 | 480 | yes | — |
| 221 | C22×#41 | C24 | 1 | 1920 | yes | — |
| 222 | C22×#41 | C24 | 1 | 360 | yes | — |
| 223 | C22×#41 | C24 | 1 | 20 | yes | — |
| 224 | C22×#41 | C24 | 1 | 60 | yes | — |
| 225 | C22×#41 | C24 | 1 | 120 | yes | — |
| 226 | C22×#41 | C24 | 1 | 120 | yes | — |
| 227 | C22×#41 | C24 | 1 | 360 | yes | complemented |
| 228 | C22×#41 | C24 | 1 | 640 | yes | complemented |
| 229 | C22×#41 | C24 | 1 | 360 | yes | complemented |
| 230 | C22×#41 | C24 | 1 | 720 | yes | complemented |
| 231 | C22×#41 | C24 | 1 | 240 | yes | complemented |
| 232 | C22×#41 | C24 | 1 | 1920 | yes | complemented |
| 233 | C23×Q8 | C24 | 1 | 15 | yes | — |
| 234 | C23×Q8 | C24 | 1 | 40 | yes | — |
| 235 | C23×Q8 | C24 | 1 | 15 | yes | — |
| 236 | C23×Q8 | C24 | 1 | 60 | yes | complemented |
| 237 | C23×Q8 | C24 | 1 | 240 | yes | complemented |
| 238 | C23×D4 | — | 2 | 1440 | no | — |
| 239 | C23×D4 | — | 2 | 240 | no | — |
| 240 | C23×D4 | C24 | 1 | 90 | yes | — |
| 241 | C23×D4 | C24 | 1 | 45 | yes | — |
| 242 | C23×D4 | C24 | 1 | 90 | yes | — |
| 243 | C23×D4 | C24 | 1 | 360 | yes | — |
| 244 | C23×D4 | C24 | 1 | 120 | yes | — |
| 245 | C23×D4 | C24 | 1 | 120 | yes | — |
| 246 | C23×D4 | C24 | 1 | 1440 | yes | — |
| 247 | C23×D4 | C24 | 1 | 120 | yes | — |
| 248 | C23×D4 | C24 | 1 | 45 | yes | — |
| 249 | C23×D4 | C24 | 1 | 60 | yes | complemented |
| 250 | C23×D4 | C24 | 1 | 720 | yes | complemented |
| 251 | C23×D4 | C24 | 1 | 480 | yes | complemented |
| 252 | C24×C4 | C24 | 1 | 90 | yes | — |
| 253 | C24×C4 | C24 | 1 | 15 | yes | — |
| 254 | C24×C4 | C24 | 1 | 120 | yes | complemented |
| 255 | #550 | C24 | 1 | 7680 | yes | complemented |
| 256 | D4×Q8 | C24 | 1 | 2560 | yes | complemented |
| 257 | #548 | C24 | 1 | 7680 | yes | complemented |
| 258 | #548 | C24 | 1 | 2560 | yes | complemented |
| 259 | #547 | C24 | 1 | 7680 | yes | complemented |
| 260 | #546 | C24 | 1 | 23040 | yes | complemented |
| 261 | #546 | C24 | 1 | 7680 | yes | complemented |
| 262 | D42 | C24 | 1 | 23040 | yes | complemented |
| 263 | #537 | C24 | 1 | 1920 | yes | complemented |
| 264 | #537 | C24 | 1 | 5760 | yes | complemented |
| 265 | #536 | C24 | 1 | 96 | yes | — |
| 266 | #536 | C24 | 1 | 480 | yes | — |
| 267 | #536 | C24 | 1 | 960 | yes | complemented |
| 268 | #536 | C24 | 1 | 480 | yes | complemented |
| 269 | #536 | C24 | 1 | 480 | yes | complemented |
| 270 | #536 | C24 | 1 | 2880 | yes | complemented |
| 271 | #535 | C24 | 1 | 160 | yes | — |
| 272 | #535 | C24 | 1 | 1440 | yes | — |
| 273 | #535 | C24 | 1 | 1440 | yes | complemented |
| 274 | #535 | C24 | 1 | 1440 | yes | complemented |
| 275 | #535 | C24 | 1 | 960 | yes | complemented |
| 276 | #535 | C24 | 1 | 5760 | yes | complemented |
| 277 | #535 | C24 | 1 | 2880 | yes | complemented |
| 278 | #534 | C24 | 1 | 1920 | yes | — |
| 279 | #534 | C24 | 1 | 5760 | yes | complemented |
| 280 | #532 | C24 | 1 | 1920 | yes | complemented |
| 281 | #532 | C24 | 1 | 5760 | yes | complemented |
| 282 | C2×C4⋊Q8 | C24 | 1 | 240 | yes | complemented |
| 283 | C2×#127 | C24 | 1 | 720 | yes | complemented |
| 284 | C2×#127 | C24 | 1 | 1440 | yes | complemented |
| 285 | C2×#124 | C24 | 1 | 720 | yes | complemented |
| 286 | C2×#124 | C24 | 1 | 1440 | yes | complemented |
| 287 | C2×#124 | C24 | 1 | 240 | yes | complemented |
| 288 | #525 | C24 | 1 | 1920 | yes | — |
| 289 | #525 | C24 | 1 | 1920 | yes | complemented |
| 290 | #525 | C24 | 1 | 5760 | yes | complemented |
| 291 | #525 | C24 | 1 | 5760 | yes | complemented |
| 292 | C2×#123 | C24 | 1 | 480 | yes | — |
| 293 | C2×#123 | C24 | 1 | 1440 | yes | complemented |
| 294 | C2×C22⋊Q8 | C24 | 1 | 480 | yes | complemented |
| 295 | C2×C22⋊Q8 | C24 | 1 | 1440 | yes | complemented |
| 296 | C2×#121 | C24 | 1 | 1440 | yes | complemented |
| 297 | C2×#121 | C24 | 1 | 2880 | yes | complemented |
| 298 | C2×#121 | C24 | 1 | 1440 | yes | complemented |
| 299 | C2×#121 | C24 | 1 | 2880 | yes | complemented |
| 300 | C2×#120 | C24 | 1 | 1440 | yes | — |
| 301 | C2×#120 | C24 | 1 | 2880 | yes | complemented |
| 302 | C2×#120 | C24 | 1 | 1440 | yes | complemented |
| 303 | #520 | C24 | 1 | 640 | yes | complemented |
| 304 | #520 | C24 | 1 | 1920 | yes | complemented |
| 305 | #519 | C24 | 1 | 160 | yes | — |
| 306 | #519 | C24 | 1 | 480 | yes | complemented |
| 307 | #518 | C24 | 1 | 480 | yes | — |
| 308 | #518 | C24 | 1 | 1440 | yes | complemented |
| 309 | C4×#41 | C24 | 1 | 640 | yes | complemented |
| 310 | C4×#41 | C24 | 1 | 1920 | yes | complemented |
| 311 | C2×C4×Q8 | C24 | 1 | 480 | yes | complemented |
| 312 | C2×C4×D4 | C24 | 1 | 1440 | yes | complemented |
| 313 | C2×C4×D4 | C24 | 1 | 2880 | yes | complemented |
| 314 | C2×#117 | C24 | 1 | 120 | yes | — |
| 315 | C2×#117 | C24 | 1 | 360 | yes | — |
| 316 | C2×#117 | C24 | 1 | 360 | yes | complemented |
| 317 | C2×#117 | C24 | 1 | 360 | yes | complemented |
| 318 | C22×C4⋊C4 | C24 | 1 | 120 | yes | complemented |
| 319 | C22×C22⋊C4 | C24 | 1 | 120 | yes | — |
| 320 | C22×C22⋊C4 | C24 | 1 | 480 | yes | complemented |
| 321 | C22×C42 | C24 | 1 | 120 | yes | complemented |
| 322 | C25 | — | 2 | 240 | no | — |
| 323 | C25 | — | 16 | 60 | no | — |
| 324 | C25 | C25 | 1 | 240 | yes | — |
| 325 | C25 | C25 | 1 | 90 | yes | — |
| 326 | C25 | C25 | 1 | 120 | yes | — |
| 327 | C25 | C25 | 1 | 15 | yes | — |
| 328 | 2−1+4 | — | 2 | 7680 | no | — |
| 329 | 2−1+4 | — | 2 | 2560 | no | — |
| 330 | 2−1+4 | — | 2 | 1280 | no | — |
| 331 | 2−1+4 | — | 2 | 1280 | no | — |
| 332 | 2−1+4 | — | 2 | 1280 | no | — |
| 333 | 2−1+4 | — | 2 | 3840 | no | — |
| 334 | 2−1+4 | — | 2 | 3840 | no | — |
| 335 | 2−1+4 | C22×D4 | 1 | 1536 | yes | complemented |
| 336 | H(5,𝔽2) | — | 2 | 3840 | no | — |
| 337 | H(5,𝔽2) | — | 2 | 15360 | no | — |
| 338 | H(5,𝔽2) | — | 2 | 3840 | no | — |
| 339 | H(5,𝔽2) | — | 2 | 7680 | no | — |
| 340 | H(5,𝔽2) | — | 2 | 2560 | no | — |
| 341 | H(5,𝔽2) | — | 2 | 11520 | no | — |
| 342 | H(5,𝔽2) | — | 2 | 3840 | no | — |
| 343 | H(5,𝔽2) | — | 2 | 11520 | no | — |
| 344 | H(5,𝔽2) | C22×D4 | 1 | 2560 | yes | complemented |
| 345 | C2×#41 | — | 2 | 5120 | no | — |
| 346 | C2×#41 | — | 2 | 15360 | no | — |
| 347 | C2×#41 | — | 2 | 15360 | no | — |
| 348 | C2×#41 | — | 2 | 960 | no | — |
| 349 | C2×#41 | — | 2 | 3840 | no | — |
| 350 | C2×#41 | — | 2 | 1920 | no | — |
| 351 | C2×#41 | — | 2 | 960 | no | — |
| 352 | C2×#41 | — | 2 | 5760 | no | — |
| 353 | C2×#41 | — | 2 | 1440 | no | — |
| 354 | C2×#41 | — | 2 | 480 | no | — |
| 355 | C2×#41 | — | 2 | 960 | no | — |
| 356 | C2×#41 | — | 2 | 2880 | no | — |
| 357 | C2×#41 | — | 2 | 2880 | no | — |
| 358 | C2×#41 | — | 2 | 2880 | no | — |
| 359 | C2×#41 | — | 2 | 2880 | no | — |
| 360 | C2×#41 | — | 2 | 2880 | no | — |
| 361 | C2×#41 | C22×D4 | 1 | 960 | yes | complemented |
| 362 | C2×#41 | C22×D4 | 1 | 1920 | yes | complemented |
| 363 | C2×#41 | C22×D4 | 1 | 320 | yes | complemented |
| 364 | C2×#41 | C22×D4 | 1 | 1920 | yes | complemented |
| 365 | C2×#41 | C25 | 1 | 240 | yes | — |
| 366 | C2×#41 | C25 | 1 | 240 | yes | — |
| 367 | C2×#41 | C25 | 1 | 1440 | yes | — |
| 368 | C2×#41 | C25 | 1 | 1440 | yes | — |
| 369 | C2×#41 | C25 | 1 | 240 | yes | — |
| 370 | C2×#41 | C25 | 1 | 240 | yes | — |
| 371 | C2×#41 | C25 | 1 | 16 | yes | — |
| 372 | C2×#41 | C25 | 1 | 240 | yes | — |
| 373 | C2×#41 | C25 | 1 | 1920 | yes | — |
| 374 | C2×#41 | C25 | 1 | 960 | yes | — |
| 375 | C2×#41 | C25 | 1 | 960 | yes | — |
| 376 | C2×#41 | C25 | 1 | 640 | yes | — |
| 377 | C2×#41 | C25 | 1 | 80 | yes | — |
| 378 | C2×#41 | C25 | 1 | 480 | yes | — |
| 379 | C2×#41 | C25 | 1 | 80 | yes | — |
| 380 | C22×Q8 | — | 2 | 320 | no | — |
| 381 | C22×Q8 | — | 2 | 1920 | no | — |
| 382 | C22×Q8 | — | 2 | 120 | no | — |
| 383 | C22×Q8 | — | 2 | 480 | no | — |
| 384 | C22×Q8 | C22×D4 | 1 | 240 | yes | complemented |
| 385 | C22×Q8 | C25 | 1 | 60 | yes | — |
| 386 | C22×Q8 | C25 | 1 | 360 | yes | — |
| 387 | C22×Q8 | C25 | 1 | 120 | yes | — |
| 388 | C22×Q8 | C25 | 1 | 60 | yes | — |
| 389 | C22×Q8 | C25 | 1 | 6 | yes | — |
| 390 | C22×Q8 | C25 | 1 | 30 | yes | — |
| 391 | C22×Q8 | C25 | 1 | 640 | yes | — |
| 392 | C22×Q8 | C25 | 1 | 320 | yes | — |
| 393 | C22×Q8 | C25 | 1 | 120 | yes | — |
| 394 | C22×Q8 | C25 | 1 | 20 | yes | — |
| 395 | C22×D4 | — | 2 | 720 | no | — |
| 396 | C22×D4 | — | 2 | 960 | no | — |
| 397 | C22×D4 | — | 2 | 2880 | no | — |
| 398 | C22×D4 | — | 2 | 11520 | no | — |
| 399 | C22×D4 | — | 2 | 5760 | no | — |
| 400 | C22×D4 | — | 2 | 720 | no | — |
| 401 | C22×D4 | — | 2 | 360 | no | — |
| 402 | C22×D4 | — | 2 | 960 | no | — |
| 403 | C22×D4 | — | 2 | 960 | no | — |
| 404 | C22×D4 | — | 2 | 480 | no | — |
| 405 | C22×D4 | — | 16 | 480 | no | — |
| 406 | C22×D4 | C22×D4 | 1 | 720 | yes | complemented |
| 407 | C22×D4 | C25 | 1 | 240 | yes | — |
| 408 | C22×D4 | C25 | 1 | 720 | yes | — |
| 409 | C22×D4 | C25 | 1 | 720 | yes | — |
| 410 | C22×D4 | C25 | 1 | 180 | yes | — |
| 411 | C22×D4 | C25 | 1 | 720 | yes | — |
| 412 | C22×D4 | C25 | 1 | 360 | yes | — |
| 413 | C22×D4 | C25 | 1 | 180 | yes | — |
| 414 | C22×D4 | C25 | 1 | 120 | yes | — |
| 415 | C22×D4 | C25 | 1 | 120 | yes | — |
| 416 | C22×D4 | C25 | 1 | 10 | yes | — |
| 417 | C22×D4 | C25 | 1 | 90 | yes | — |
| 418 | C22×D4 | C25 | 1 | 1920 | yes | — |
| 419 | C22×D4 | C25 | 1 | 2880 | yes | — |
| 420 | C22×D4 | C25 | 1 | 2880 | yes | — |
| 421 | C22×D4 | C25 | 1 | 360 | yes | — |
| 422 | C22×D4 | C25 | 1 | 60 | yes | — |
| 423 | C23×C4 | — | 2 | 720 | no | — |
| 424 | C23×C4 | — | 2 | 960 | no | — |
| 425 | C23×C4 | C22×D4 | 1 | 240 | yes | complemented |
| 426 | C23×C4 | C25 | 1 | 120 | yes | — |
| 427 | C23×C4 | C25 | 1 | 720 | yes | — |
| 428 | C23×C4 | C25 | 1 | 720 | yes | — |
| 429 | C23×C4 | C25 | 1 | 240 | yes | — |
| 430 | C23×C4 | C25 | 1 | 30 | yes | — |
| 431 | C23×C4 | C25 | 1 | 120 | yes | — |
| 432 | C23×C4 | C25 | 1 | 240 | yes | — |
| 433 | C23×C4 | C25 | 1 | 60 | yes | — |
| 434 | C23×C4 | C25 | 1 | 45 | yes | — |
| 435 | C23×C4 | C25 | 1 | 15 | yes | — |
| 436 | C23×C4 | C25 | 1 | 60 | yes | — |
| 437 | C4⋊Q8 | C25 | 1 | 192 | yes | — |
| 438 | C4⋊Q8 | C25 | 1 | 960 | yes | — |
| 439 | #127 | C25 | 1 | 320 | yes | — |
| 440 | #127 | C25 | 1 | 2880 | yes | — |
| 441 | #124 | C25 | 1 | 320 | yes | — |
| 442 | #124 | C25 | 1 | 192 | yes | — |
| 443 | #124 | C25 | 1 | 2880 | yes | — |
| 444 | #124 | C25 | 1 | 960 | yes | — |
| 445 | #123 | C25 | 1 | 384 | yes | — |
| 446 | #123 | C25 | 1 | 1920 | yes | — |
| 447 | #123 | C25 | 1 | 3840 | yes | — |
| 448 | C22⋊Q8 | C25 | 1 | 384 | yes | — |
| 449 | C22⋊Q8 | C25 | 1 | 3840 | yes | — |
| 450 | C22⋊Q8 | C25 | 1 | 1920 | yes | — |
| 451 | #121 | C25 | 1 | 640 | yes | — |
| 452 | #121 | C25 | 1 | 5760 | yes | — |
| 453 | #121 | C25 | 1 | 3840 | yes | — |
| 454 | #121 | C25 | 1 | 7680 | yes | — |
| 455 | #120 | C25 | 1 | 640 | yes | — |
| 456 | #120 | C25 | 1 | 5760 | yes | — |
| 457 | #120 | C25 | 1 | 3840 | yes | — |
| 458 | C4×Q8 | C25 | 1 | 1280 | yes | — |
| 459 | C4×D4 | C25 | 1 | 3840 | yes | — |
| 460 | C4×D4 | C25 | 1 | 7680 | yes | — |
| 461 | #117 | C25 | 1 | 16 | yes | — |
| 462 | #117 | C25 | 1 | 240 | yes | — |
| 463 | #117 | C25 | 1 | 240 | yes | — |
| 464 | #117 | C25 | 1 | 240 | yes | — |
| 465 | #117 | C25 | 1 | 1440 | yes | — |
| 466 | C2×C4⋊C4 | C25 | 1 | 240 | yes | — |
| 467 | C2×C4⋊C4 | C25 | 1 | 720 | yes | — |
| 468 | C2×C4⋊C4 | C25 | 1 | 960 | yes | — |
| 469 | C2×C22⋊C4 | C25 | 1 | 240 | yes | — |
| 470 | C2×C22⋊C4 | C25 | 1 | 720 | yes | — |
| 471 | C2×C22⋊C4 | C25 | 1 | 2880 | yes | — |
| 472 | C2×C22⋊C4 | C25 | 1 | 960 | yes | — |
| 473 | C2×C42 | C25 | 1 | 240 | yes | — |
| 474 | C2×C42 | C25 | 1 | 720 | yes | — |
| 475 | C24 | — | 2 | 360 | no | — |
| 476 | C24 | — | 2 | 480 | no | — |
| 477 | C24 | — | 2 | 960 | no | — |
| 478 | C24 | — | 8 | 30 | no | — |
| 479 | C24 | — | 8 | 180 | no | — |
| 480 | C24 | — | 8 | 240 | no | — |
| 481 | C24 | — | 8 | 480 | no | — |
| 482 | C24 | — | 16 | 480 | no | — |
| 483 | C24 | C23×D4 | 1 | 120 | yes | — |
| 484 | C24 | C26 | 1 | 360 | yes | — |
| 485 | C24 | C26 | 1 | 240 | yes | — |
| 486 | C24 | C26 | 1 | 20 | yes | — |
| 487 | C24 | C26 | 1 | 15 | yes | — |
| 488 | C24 | C26 | 1 | 60 | yes | — |
| 489 | #41 | — | 2 | 3840 | no | — |
| 490 | #41 | — | 2 | 2560 | no | — |
| 491 | #41 | — | 2 | 3840 | no | — |
| 492 | #41 | — | 2 | 7680 | no | — |
| 493 | #41 | — | 2 | 960 | no | — |
| 494 | #41 | — | 2 | 64 | no | — |
| 495 | #41 | — | 2 | 960 | no | — |
| 496 | #41 | — | 2 | 5760 | no | — |
| 497 | #41 | — | 2 | 960 | no | — |
| 498 | #41 | — | 2 | 960 | no | — |
| 499 | #41 | — | 2 | 5760 | no | — |
| 500 | #41 | — | 2 | 960 | no | — |
| 501 | #41 | C23×D4 | 1 | 640 | yes | — |
| 502 | #41 | C23×D4 | 1 | 3840 | yes | — |
| 503 | #41 | C23×D4 | 1 | 640 | yes | — |
| 504 | C2×Q8 | — | 2 | 2560 | no | — |
| 505 | C2×Q8 | — | 2 | 1280 | no | — |
| 506 | C2×Q8 | — | 2 | 120 | no | — |
| 507 | C2×Q8 | — | 2 | 24 | no | — |
| 508 | C2×Q8 | — | 2 | 1440 | no | — |
| 509 | C2×Q8 | — | 2 | 480 | no | — |
| 510 | C2×Q8 | — | 2 | 240 | no | — |
| 511 | C2×Q8 | — | 2 | 240 | no | — |
| 512 | C2×Q8 | C23×D4 | 1 | 160 | yes | — |
| 513 | C2×Q8 | C23×D4 | 1 | 960 | yes | — |
| 514 | C2×Q8 | C26 | 1 | 12 | yes | — |
| 515 | C2×Q8 | C26 | 1 | 240 | yes | — |
| 516 | C2×Q8 | C26 | 1 | 120 | yes | — |
| 517 | C2×Q8 | C26 | 1 | 16 | yes | — |
| 518 | C2×Q8 | C26 | 1 | 12 | yes | — |
| 519 | C2×Q8 | C26 | 1 | 80 | yes | — |
| 520 | C2×D4 | — | 2 | 480 | no | — |
| 521 | C2×D4 | — | 2 | 2880 | no | — |
| 522 | C2×D4 | — | 2 | 960 | no | — |
| 523 | C2×D4 | — | 2 | 2880 | no | — |
| 524 | C2×D4 | — | 2 | 11520 | no | — |
| 525 | C2×D4 | — | 2 | 7680 | no | — |
| 526 | C2×D4 | — | 2 | 360 | no | — |
| 527 | C2×D4 | — | 2 | 40 | no | — |
| 528 | C2×D4 | — | 2 | 720 | no | — |
| 529 | C2×D4 | — | 2 | 2880 | no | — |
| 530 | C2×D4 | — | 2 | 720 | no | — |
| 531 | C2×D4 | — | 2 | 1440 | no | — |
| 532 | C2×D4 | — | 2 | 480 | no | — |
| 533 | C2×D4 | — | 8 | 2880 | no | — |
| 534 | C2×D4 | C23×D4 | 1 | 480 | yes | — |
| 535 | C2×D4 | C23×D4 | 1 | 2880 | yes | — |
| 536 | C2×D4 | C26 | 1 | 32 | yes | — |
| 537 | C2×D4 | C26 | 1 | 480 | yes | — |
| 538 | C2×D4 | C26 | 1 | 480 | yes | — |
| 539 | C2×D4 | C26 | 1 | 20 | yes | — |
| 540 | C2×D4 | C26 | 1 | 360 | yes | — |
| 541 | C2×D4 | C26 | 1 | 240 | yes | — |
| 542 | C2×D4 | C26 | 1 | 20 | yes | — |
| 543 | C2×D4 | C26 | 1 | 16 | yes | — |
| 544 | C2×D4 | C26 | 1 | 1280 | yes | — |
| 545 | C2×D4 | C26 | 1 | 240 | yes | — |
| 546 | C22×C4 | — | 2 | 120 | no | — |
| 547 | C22×C4 | — | 2 | 480 | no | — |
| 548 | C22×C4 | — | 2 | 480 | no | — |
| 549 | C22×C4 | — | 2 | 960 | no | — |
| 550 | C22×C4 | — | 2 | 2880 | no | — |
| 551 | C22×C4 | — | 2 | 2880 | no | — |
| 552 | C22×C4 | — | 8 | 240 | no | — |
| 553 | C22×C4 | C23×D4 | 1 | 360 | yes | — |
| 554 | C22×C4 | C23×D4 | 1 | 480 | yes | — |
| 555 | C22×C4 | C23×D4 | 1 | 120 | yes | — |
| 556 | C22×C4 | C23×D4 | 1 | 480 | yes | — |
| 557 | C22×C4 | C26 | 1 | 240 | yes | — |
| 558 | C22×C4 | C26 | 1 | 120 | yes | — |
| 559 | C22×C4 | C26 | 1 | 480 | yes | — |
| 560 | C22×C4 | C26 | 1 | 480 | yes | — |
| 561 | C22×C4 | C26 | 1 | 32 | yes | — |
| 562 | C22×C4 | C26 | 1 | 12 | yes | — |
| 563 | C22×C4 | C26 | 1 | 480 | yes | — |
| 564 | C22×C4 | C26 | 1 | 30 | yes | — |
| 565 | C22×C4 | C26 | 1 | 180 | yes | — |
| 566 | C22×C4 | C26 | 1 | 30 | yes | — |
| 567 | C22×C4 | C26 | 1 | 15 | yes | — |
| 568 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 569 | C4⋊C4 | C26 | 1 | 32 | yes | — |
| 570 | C4⋊C4 | C26 | 1 | 480 | yes | — |
| 571 | C4⋊C4 | C26 | 1 | 768 | yes | — |
| 572 | C22⋊C4 | C26 | 1 | 32 | yes | — |
| 573 | C22⋊C4 | C26 | 1 | 1280 | yes | — |
| 574 | C22⋊C4 | C26 | 1 | 480 | yes | — |
| 575 | C22⋊C4 | C26 | 1 | 768 | yes | — |
| 576 | C42 | C26 | 1 | 32 | yes | — |
| 577 | C42 | C26 | 1 | 480 | yes | — |
| 578 | C23 | — | 2 | 40 | no | — |
| 579 | C23 | — | 2 | 480 | no | — |
| 580 | C23 | — | 2 | 720 | no | — |
| 581 | C23 | — | 4 | 120 | no | — |
| 582 | C23 | — | 4 | 30 | no | — |
| 583 | C23 | — | 4 | 40 | no | — |
| 584 | C23 | — | 4 | 480 | no | — |
| 585 | C23 | — | 4 | 720 | no | — |
| 586 | C23 | — | 8 | 120 | no | — |
| 587 | C23 | — | 8 | 720 | no | — |
| 588 | C23 | — | 16 | 480 | no | — |
| 589 | C23 | — | 16 | 960 | no | — |
| 590 | C23 | C24×D4 | 1 | 60 | yes | — |
| 591 | C23 | C24×D4 | 1 | 240 | yes | — |
| 592 | C23 | C27 | 1 | 40 | yes | — |
| 593 | C23 | C27 | 1 | 32 | yes | — |
| 594 | C23 | C27 | 1 | 1 | yes | characteristic |
| 595 | C23 | C27 | 1 | 30 | yes | — |
| 596 | Q8 | — | 2 | 480 | no | — |
| 597 | Q8 | — | 2 | 32 | no | — |
| 598 | Q8 | — | 2 | 24 | no | — |
| 599 | Q8 | — | 2 | 240 | no | — |
| 600 | Q8 | — | 2 | 24 | no | — |
| 601 | Q8 | C24×D4 | 1 | 320 | yes | — |
| 602 | D4 | — | 2 | 960 | no | — |
| 603 | D4 | — | 2 | 64 | no | — |
| 604 | D4 | — | 2 | 960 | no | — |
| 605 | D4 | — | 2 | 40 | no | — |
| 606 | D4 | — | 2 | 720 | no | — |
| 607 | D4 | — | 2 | 40 | no | — |
| 608 | D4 | — | 2 | 480 | no | — |
| 609 | D4 | — | 2 | 32 | no | — |
| 610 | D4 | — | 4 | 1280 | no | — |
| 611 | D4 | C24×D4 | 1 | 960 | yes | — |
| 612 | C2×C4 | — | 2 | 24 | no | — |
| 613 | C2×C4 | — | 2 | 240 | no | — |
| 614 | C2×C4 | — | 2 | 480 | no | — |
| 615 | C2×C4 | — | 2 | 64 | no | — |
| 616 | C2×C4 | — | 2 | 960 | no | — |
| 617 | C2×C4 | — | 2 | 960 | no | — |
| 618 | C2×C4 | — | 4 | 480 | no | — |
| 619 | C2×C4 | C24×D4 | 1 | 60 | yes | — |
| 620 | C2×C4 | C24×D4 | 1 | 120 | yes | — |
| 621 | C2×C4 | C24×D4 | 1 | 720 | yes | — |
| 622 | C2×C4 | C24×D4 | 1 | 4 | yes | — |
| 623 | C2×C4 | C24×D4 | 1 | 120 | yes | — |
| 624 | C2×C4 | C27 | 1 | 64 | yes | — |
| 625 | C2×C4 | C27 | 1 | 32 | yes | — |
| 626 | C2×C4 | C27 | 1 | 24 | yes | — |
| 627 | C2×C4 | C27 | 1 | 1 | yes | characteristic |
| 628 | C2×C4 | C27 | 1 | 30 | yes | — |
| 629 | C2×C4 | C27 | 1 | 1 | yes | characteristic |
| 630 | C22 | — | 2 | 60 | no | — |
| 631 | C22 | — | 2 | 2 | no | — |
| 632 | C22 | — | 2 | 32 | no | — |
| 633 | C22 | — | 2 | 40 | no | — |
| 634 | C22 | — | 2 | 64 | no | — |
| 635 | C22 | — | 2 | 80 | no | — |
| 636 | C22 | — | 4 | 60 | no | — |
| 637 | C22 | — | 4 | 240 | no | — |
| 638 | C22 | — | 4 | 80 | no | — |
| 639 | C22 | — | 8 | 720 | no | — |
| 640 | C22 | — | 8 | 480 | no | — |
| 641 | C22 | C25×D4 | 1 | 2 | yes | — |
| 642 | C22 | C25×D4 | 1 | 60 | yes | — |
| 643 | C22 | C28 | 1 | 1 | yes | characteristic |
| 644 | C4 | — | 2 | 24 | no | — |
| 645 | C4 | — | 2 | 32 | no | — |
| 646 | C4 | — | 2 | 64 | no | — |
| 647 | C4 | C25×D4 | 1 | 2 | yes | — |
| 648 | C4 | C25×D4 | 1 | 60 | yes | — |
| 649 | C4 | C25×D4 | 1 | 2 | yes | — |
| 650 | C2 | — | 2 | 2 | no | — |
| 651 | C2 | — | 2 | 60 | no | — |
| 652 | C2 | — | 4 | 40 | no | — |
| 653 | C2 | — | 4 | 32 | no | — |
| 654 | C2 | C26×D4 | 1 | 1 | yes | characteristic |
| 655 | C2 | H(9,𝔽2) | 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. C22×H(7,𝔽2) | C2 | semidirect |
| 3. #10586106 | C2 | semidirect |
| 4. #10586097 | C2 | semidirect |
| 5. #10586096 | C2 | semidirect |
| 6. #10586091 | C2 | semidirect |
| 7. #10586066 | C2 | semidirect |
| 8. #10586020 | C2 | semidirect |
| 9. C2×#62852 | C2 | semidirect |
| 10. #10585883 | C2 | semidirect |
| 12. C2×2−1+6 | C22 | semidirect |
| 13. C2×2−1+6 | C22 | semidirect |
| 15. C2×H(7,𝔽2) | C22 | semidirect |
| 16. C2×H(7,𝔽2) | C22 | semidirect |
| 17. C2×H(7,𝔽2) | C22 | semidirect |
| 18. 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. C23×H(5,𝔽2) | C22 | semidirect |
| 25. C23×H(5,𝔽2) | C22 | semidirect |
| 26. #63003 | C22 | semidirect |
| 27. #63002 | C22 | semidirect |
| 28. #62987 | C22 | semidirect |
| 29. D4×H(5,𝔽2) | C22 | semidirect |
| 30. #62859 | C22 | semidirect |
| 31. #62859 | C22 | semidirect |
| 32. #62853 | C22 | semidirect |
| 33. #62852 | C22 | semidirect |
| 34. #62852 | C22 | semidirect |
| 35. #62852 | C22 | semidirect |
| 36. #62852 | C22 | semidirect |
| 37. #62852 | C22 | semidirect |
| 38. #62848 | C22 | semidirect |
| 39. #62842 | C22 | semidirect |
| 40. #62812 | C22 | semidirect |
| 41. #62811 | C22 | semidirect |
| 42. #62811 | C22 | semidirect |
| 43. C2×#3500 | C22 | semidirect |
| 44. C2×#3498 | C22 | semidirect |
| 45. C2×#3488 | C22 | semidirect |
| 46. C2×#3487 | C22 | semidirect |
| 47. C2×#3484 | C22 | semidirect |
| 48. C2×#3449 | C22 | semidirect |
| 49. C22×#535 | C22 | semidirect |
| 50. #62654 | C22 | semidirect |
| 51. #62653 | C22 | semidirect |
| 52. #62652 | C22 | semidirect |
| 53. C4×#585 | C22 | semidirect |
| 54. C2×#3428 | C22 | semidirect |
| 65. C2×#585 | D4 | semidirect |
| 68. C2×#585 | C23 | semidirect |
| 69. C2×#585 | C23 | semidirect |
| 70. C2×#585 | C23 | semidirect |
| 71. C2×#585 | C23 | semidirect |
| 72. C2×#585 | C23 | semidirect |
| 73. C2×#585 | C23 | semidirect |
| 74. C2×#585 | C23 | semidirect |
| 75. C2×#585 | C23 | semidirect |
| 76. C2×#585 | C23 | semidirect |
| 78. C22×2−1+4 | C23 | semidirect |
| 79. C22×2−1+4 | C23 | semidirect |
| 80. C22×2−1+4 | C23 | semidirect |
| 81. C22×2−1+4 | C23 | semidirect |
| 82. C22×2−1+4 | C23 | semidirect |
| 86. C22×H(5,𝔽2) | C23 | semidirect |
| 87. C22×H(5,𝔽2) | C23 | semidirect |
| 88. C22×H(5,𝔽2) | C23 | semidirect |
| 89. C22×H(5,𝔽2) | C23 | semidirect |
| 90. C22×H(5,𝔽2) | C23 | semidirect |
| 91. C22×H(5,𝔽2) | C23 | semidirect |
| 92. C22×H(5,𝔽2) | C23 | semidirect |
| 93. C22×H(5,𝔽2) | C23 | semidirect |
| 94. C22×H(5,𝔽2) | C23 | semidirect |
| 96. C23×#41 | C23 | semidirect |
| 97. C23×#41 | C23 | semidirect |
| 98. C23×#41 | C23 | semidirect |
| 99. C23×#41 | C23 | semidirect |
| 100. C23×#41 | C23 | semidirect |
| 101. C24×D4 | C23 | semidirect |
| 102. C24×D4 | C23 | semidirect |
| 103. #3500 | C23 | semidirect |
| 104. #3500 | C23 | semidirect |
| 105. #3500 | C23 | semidirect |
| 106. #3499 | C23 | semidirect |
| 107. #3498 | C23 | semidirect |
| 108. #3498 | C23 | semidirect |
| 109. #3497 | C23 | semidirect |
| 110. #3496 | C23 | semidirect |
| 111. #3489 | C23 | semidirect |
| 112. #3489 | C23 | semidirect |
| 113. #3488 | C23 | semidirect |
| 114. #3488 | C23 | semidirect |
| 115. #3488 | C23 | semidirect |
| 116. #3487 | C23 | semidirect |
| 117. #3487 | C23 | semidirect |
| 118. #3487 | C23 | semidirect |
| 119. #3486 | C23 | semidirect |
| 120. #3486 | C23 | semidirect |
| 121. #3485 | C23 | semidirect |
| 122. #3485 | C23 | semidirect |
| 123. #3484 | C23 | semidirect |
| 124. #3484 | C23 | semidirect |
| 125. #3484 | C23 | semidirect |
| 126. D4×#41 | C23 | semidirect |
| 127. C2×#550 | C23 | semidirect |
| 128. C2×#548 | C23 | semidirect |
| 129. C2×#546 | C23 | semidirect |
| 130. C2×D42 | C23 | semidirect |
| 131. #3449 | C23 | semidirect |
| 132. #3449 | C23 | semidirect |
| 133. #3449 | C23 | semidirect |
| 134. #3449 | C23 | semidirect |
| 135. C2×#537 | C23 | semidirect |
| 136. C2×#536 | C23 | semidirect |
| 137. C2×#536 | C23 | semidirect |
| 138. C2×#535 | C23 | semidirect |
| 139. C2×#535 | C23 | semidirect |
| 140. C2×#535 | C23 | semidirect |
| 141. C2×#535 | C23 | semidirect |
| 142. C2×#535 | C23 | semidirect |
| 143. C2×#534 | C23 | semidirect |
| 144. C2×#532 | C23 | semidirect |
| 145. C22×#127 | C23 | semidirect |
| 146. C22×#124 | C23 | semidirect |
| 147. C2×#525 | C23 | semidirect |
| 148. C2×#525 | C23 | semidirect |
| 149. C22×#121 | C23 | semidirect |
| 150. C22×#120 | C23 | semidirect |
| 151. C4×2−1+4 | C23 | semidirect |
| 152. C4×H(5,𝔽2) | C23 | semidirect |
| 153. #3428 | C23 | semidirect |
| 154. #3428 | C23 | semidirect |
| 155. #3428 | C23 | semidirect |
| 156. #3428 | C23 | semidirect |
| 157. C2×#520 | C23 | semidirect |
| 158. C2×#519 | C23 | semidirect |
| 159. C2×#518 | C23 | semidirect |
| 160. C2×C4×#41 | C23 | semidirect |
| 161. C22×#117 | C23 | semidirect |
| 172. #585 | C2×D4 | semidirect |
| 173. #585 | C2×D4 | semidirect |
| 179. C2×2−1+4 | C2×D4 | semidirect |
| 185. C2×2−1+4 | C24 | semidirect |
| 186. C2×2−1+4 | C24 | semidirect |
| 187. C2×2−1+4 | C24 | semidirect |
| 197. C2×H(5,𝔽2) | C2×D4 | semidirect |
| 204. C2×H(5,𝔽2) | C24 | semidirect |
| 205. C2×H(5,𝔽2) | C24 | semidirect |
| 206. C2×H(5,𝔽2) | C24 | semidirect |
| 212. C22×#41 | C2×D4 | semidirect |
| 227. C22×#41 | C24 | semidirect |
| 228. C22×#41 | C24 | semidirect |
| 229. C22×#41 | C24 | semidirect |
| 230. C22×#41 | C24 | semidirect |
| 231. C22×#41 | C24 | semidirect |
| 232. C22×#41 | C24 | semidirect |
| 236. C23×Q8 | C24 | semidirect |
| 237. C23×Q8 | C24 | semidirect |
| 249. C23×D4 | C24 | semidirect |
| 250. C23×D4 | C24 | semidirect |
| 251. C23×D4 | C24 | semidirect |
| 254. C24×C4 | C24 | semidirect |
| 255. #550 | C24 | semidirect |
| 256. D4×Q8 | C24 | semidirect |
| 257. #548 | C24 | semidirect |
| 258. #548 | C24 | semidirect |
| 259. #547 | C24 | semidirect |
| 260. #546 | C24 | semidirect |
| 261. #546 | C24 | semidirect |
| 262. D42 | C24 | semidirect |
| 263. #537 | C24 | semidirect |
| 264. #537 | C24 | semidirect |
| 267. #536 | C24 | semidirect |
| 268. #536 | C24 | semidirect |
| 269. #536 | C24 | semidirect |
| 270. #536 | C24 | semidirect |
| 273. #535 | C24 | semidirect |
| 274. #535 | C24 | semidirect |
| 275. #535 | C24 | semidirect |
| 276. #535 | C24 | semidirect |
| 277. #535 | C24 | semidirect |
| 279. #534 | C24 | semidirect |
| 280. #532 | C24 | semidirect |
| 281. #532 | C24 | semidirect |
| 282. C2×C4⋊Q8 | C24 | semidirect |
| 283. C2×#127 | C24 | semidirect |
| 284. C2×#127 | C24 | semidirect |
| 285. C2×#124 | C24 | semidirect |
| 286. C2×#124 | C24 | semidirect |
| 287. C2×#124 | C24 | semidirect |
| 289. #525 | C24 | semidirect |
| 290. #525 | C24 | semidirect |
| 291. #525 | C24 | semidirect |
| 293. C2×#123 | C24 | semidirect |
| 294. C2×C22⋊Q8 | C24 | semidirect |
| 295. C2×C22⋊Q8 | C24 | semidirect |
| 296. C2×#121 | C24 | semidirect |
| 297. C2×#121 | C24 | semidirect |
| 298. C2×#121 | C24 | semidirect |
| 299. C2×#121 | C24 | semidirect |
| 301. C2×#120 | C24 | semidirect |
| 302. C2×#120 | C24 | semidirect |
| 303. #520 | C24 | semidirect |
| 304. #520 | C24 | semidirect |
| 306. #519 | C24 | semidirect |
| 308. #518 | C24 | semidirect |
| 309. C4×#41 | C24 | semidirect |
| 310. C4×#41 | C24 | semidirect |
| 311. C2×C4×Q8 | C24 | semidirect |
| 312. C2×C4×D4 | C24 | semidirect |
| 313. C2×C4×D4 | C24 | semidirect |
| 316. C2×#117 | C24 | semidirect |
| 317. C2×#117 | C24 | semidirect |
| 318. C22×C4⋊C4 | C24 | semidirect |
| 320. C22×C22⋊C4 | C24 | semidirect |
| 321. C22×C42 | C24 | semidirect |
| 335. 2−1+4 | C22×D4 | semidirect |
| 344. H(5,𝔽2) | C22×D4 | semidirect |
| 361. C2×#41 | C22×D4 | semidirect |
| 362. C2×#41 | C22×D4 | semidirect |
| 363. C2×#41 | C22×D4 | semidirect |
| 364. C2×#41 | C22×D4 | semidirect |
| 384. C22×Q8 | C22×D4 | semidirect |
| 406. C22×D4 | C22×D4 | semidirect |
| 425. C23×C4 | C22×D4 | semidirect |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta