Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
74033 conjugacy classes of subgroups.
The subgroup lattice has 634 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10586098 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10586097 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10585533 | C2 | 1 | 24 | yes | maximal, complemented |
| 4 | SD16×H(5,𝔽2) | C2 | 1 | 40 | yes | maximal, complemented |
| 5 | #10581739 | C2 | 1 | 15 | yes | maximal, complemented |
| 6 | #10581738 | C2 | 1 | 15 | yes | maximal, complemented |
| 7 | #10580903 | C2 | 1 | 15 | yes | maximal, complemented |
| 8 | C2×#62413 | C2 | 1 | 15 | yes | maximal, complemented |
| 9 | C8×#585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×H(7,𝔽2) | — | 2 | 1 | no | — |
| 11 | #63004 | C22 | 1 | 12 | yes | complemented |
| 12 | #63003 | — | 2 | 6 | no | — |
| 13 | #63003 | C22 | 1 | 12 | yes | — |
| 14 | Q8×2−1+4 | — | 2 | 6 | no | — |
| 15 | #62989 | — | 2 | 10 | no | — |
| 16 | Q8×H(5,𝔽2) | C22 | 1 | 20 | yes | complemented |
| 17 | D4×H(5,𝔽2) | — | 2 | 10 | no | — |
| 18 | D4×H(5,𝔽2) | C22 | 1 | 20 | yes | — |
| 19 | #62854 | — | 2 | 15 | no | — |
| 20 | #62852 | — | 2 | 15 | no | — |
| 21 | #62813 | C22 | 1 | 15 | yes | complemented |
| 22 | #62812 | C22 | 1 | 15 | yes | — |
| 23 | C2×#3503 | C22 | 1 | 15 | yes | complemented |
| 24 | C2×#3498 | C22 | 1 | 15 | yes | — |
| 25 | #62654 | — | 2 | 1 | no | — |
| 26 | C4×#585 | C22 | 1 | 1 | yes | characteristic |
| 27 | #62526 | C22 | 1 | 60 | yes | complemented |
| 28 | #62525 | C22 | 1 | 60 | yes | complemented |
| 29 | #62469 | C22 | 1 | 20 | yes | complemented |
| 30 | #62413 | C22 | 1 | 60 | yes | complemented |
| 31 | #62413 | C22 | 1 | 240 | yes | complemented |
| 32 | #62413 | C22 | 1 | 120 | yes | complemented |
| 33 | #62357 | C22 | 1 | 60 | yes | complemented |
| 34 | #62243 | C22 | 1 | 180 | yes | complemented |
| 35 | #61951 | C22 | 1 | 240 | yes | complemented |
| 36 | #61948 | C22 | 1 | 240 | yes | complemented |
| 37 | #61883 | C22 | 1 | 60 | yes | complemented |
| 38 | #61881 | C22 | 1 | 60 | yes | complemented |
| 39 | #61562 | C22 | 1 | 180 | yes | complemented |
| 40 | #61560 | C22 | 1 | 180 | yes | complemented |
| 41 | SD16×#41 | C22 | 1 | 240 | yes | complemented |
| 42 | C2×#3392 | C22 | 1 | 60 | yes | complemented |
| 43 | C2×D4×SD16 | C22 | 1 | 180 | yes | complemented |
| 44 | #60941 | C22 | 1 | 90 | yes | complemented |
| 45 | C2×#3206 | C22 | 1 | 45 | yes | complemented |
| 46 | C2×#3208 | C22 | 1 | 45 | yes | complemented |
| 47 | C2×#3167 | C22 | 1 | 45 | yes | complemented |
| 48 | C22×#492 | C22 | 1 | 15 | yes | complemented |
| 49 | C8×2−1+4 | C22 | 1 | 12 | yes | complemented |
| 50 | C8×H(5,𝔽2) | C22 | 1 | 20 | yes | complemented |
| 51 | #60276 | C22 | 1 | 15 | yes | complemented |
| 52 | C2×C8×#41 | C22 | 1 | 15 | yes | complemented |
| 53 | H(7,𝔽2) | — | 4 | 32 | no | — |
| 54 | C2×#585 | — | 2 | 12 | no | — |
| 55 | C2×#585 | — | 2 | 15 | no | — |
| 56 | C2×#585 | D4 | 1 | 1 | yes | characteristic |
| 57 | C22×H(5,𝔽2) | — | 2 | 20 | no | — |
| 58 | C22×H(5,𝔽2) | — | 2 | 15 | no | — |
| 59 | C23×SD16 | C23 | 1 | 60 | yes | complemented |
| 60 | #3504 | — | 2 | 120 | no | — |
| 61 | #3504 | — | 2 | 60 | no | — |
| 62 | #3503 | — | 2 | 120 | no | — |
| 63 | #3503 | — | 2 | 60 | no | — |
| 64 | #3503 | — | 2 | 60 | no | — |
| 65 | #3503 | C23 | 1 | 20 | yes | complemented |
| 66 | #3503 | C23 | 1 | 120 | yes | complemented |
| 67 | #3503 | C23 | 1 | 60 | yes | complemented |
| 68 | #3502 | — | 2 | 60 | no | — |
| 69 | #3502 | — | 2 | 15 | no | — |
| 70 | #3502 | C23 | 1 | 30 | yes | complemented |
| 71 | #3501 | — | 2 | 180 | no | — |
| 72 | #3501 | — | 2 | 45 | no | — |
| 73 | #3501 | C23 | 1 | 90 | yes | complemented |
| 74 | #3500 | — | 2 | 60 | no | — |
| 75 | #3499 | C23 | 1 | 20 | yes | — |
| 76 | #3498 | — | 2 | 60 | no | — |
| 77 | #3498 | — | 2 | 60 | no | — |
| 78 | #3498 | C23 | 1 | 120 | yes | — |
| 79 | #3498 | C23 | 1 | 60 | yes | — |
| 80 | #3497 | — | 2 | 15 | no | — |
| 81 | #3497 | C23 | 1 | 30 | yes | — |
| 82 | #3496 | — | 2 | 45 | no | — |
| 83 | #3496 | C23 | 1 | 90 | yes | — |
| 84 | #3488 | — | 2 | 120 | no | — |
| 85 | #3488 | — | 2 | 120 | no | — |
| 86 | #3487 | — | 2 | 60 | no | — |
| 87 | #3484 | — | 2 | 180 | no | — |
| 88 | Q8×#41 | — | 2 | 60 | no | — |
| 89 | Q8×#41 | C23 | 1 | 120 | yes | complemented |
| 90 | C2×Q82 | — | 2 | 15 | no | — |
| 91 | C2×#557 | C23 | 1 | 30 | yes | complemented |
| 92 | C2×#554 | — | 2 | 45 | no | — |
| 93 | D4×#41 | — | 2 | 60 | no | — |
| 94 | D4×#41 | C23 | 1 | 120 | yes | — |
| 95 | C2×#550 | — | 2 | 15 | no | — |
| 96 | C2×#550 | C23 | 1 | 30 | yes | — |
| 97 | C2×D4×Q8 | C23 | 1 | 90 | yes | complemented |
| 98 | C2×D42 | — | 2 | 45 | no | — |
| 99 | C2×D42 | C23 | 1 | 90 | yes | — |
| 100 | #3458 | — | 2 | 45 | no | — |
| 101 | C2×#544 | — | 2 | 45 | no | — |
| 102 | #3449 | — | 2 | 45 | no | — |
| 103 | C2×#535 | — | 2 | 45 | no | — |
| 104 | C2×#533 | C23 | 1 | 45 | yes | complemented |
| 105 | C2×#532 | C23 | 1 | 45 | yes | — |
| 106 | C22×C4⋊Q8 | C23 | 1 | 15 | yes | complemented |
| 107 | C22×#127 | C23 | 1 | 15 | yes | — |
| 108 | C4×2−1+4 | — | 2 | 12 | no | — |
| 109 | C4×2−1+4 | D4 | 1 | 6 | yes | — |
| 110 | C4×2−1+4 | C23 | 1 | 6 | yes | — |
| 111 | C4×H(5,𝔽2) | — | 2 | 20 | no | — |
| 112 | C4×H(5,𝔽2) | D4 | 1 | 10 | yes | — |
| 113 | C4×H(5,𝔽2) | C23 | 1 | 10 | yes | — |
| 114 | #3428 | — | 2 | 15 | no | — |
| 115 | #3428 | D4 | 1 | 15 | yes | — |
| 116 | C2×#520 | — | 2 | 15 | no | — |
| 117 | C2×C4×#41 | C23 | 1 | 15 | yes | — |
| 118 | #3392 | C23 | 1 | 240 | yes | complemented |
| 119 | #3392 | C23 | 1 | 480 | yes | complemented |
| 120 | Q8×SD16 | C23 | 1 | 80 | yes | complemented |
| 121 | #3362 | C23 | 1 | 240 | yes | complemented |
| 122 | #3359 | C23 | 1 | 240 | yes | complemented |
| 123 | #3335 | C23 | 1 | 240 | yes | complemented |
| 124 | #3298 | C23 | 1 | 720 | yes | complemented |
| 125 | #3295 | C23 | 1 | 720 | yes | complemented |
| 126 | D4×SD16 | C23 | 1 | 720 | yes | complemented |
| 127 | D4×SD16 | C23 | 1 | 1440 | yes | complemented |
| 128 | #3246 | C23 | 1 | 360 | yes | complemented |
| 129 | #3229 | C23 | 1 | 60 | yes | complemented |
| 130 | #3227 | C23 | 1 | 60 | yes | complemented |
| 131 | #3208 | C23 | 1 | 180 | yes | complemented |
| 132 | #3208 | C23 | 1 | 360 | yes | complemented |
| 133 | #3206 | C23 | 1 | 180 | yes | complemented |
| 134 | #3206 | C23 | 1 | 360 | yes | complemented |
| 135 | #3187 | C23 | 1 | 360 | yes | complemented |
| 136 | #3167 | C23 | 1 | 60 | yes | complemented |
| 137 | #3167 | C23 | 1 | 180 | yes | complemented |
| 138 | #3167 | C23 | 1 | 360 | yes | complemented |
| 139 | C2×#498 | C23 | 1 | 15 | yes | complemented |
| 140 | C2×#492 | C23 | 1 | 90 | yes | complemented |
| 141 | C2×#492 | C23 | 1 | 180 | yes | complemented |
| 142 | C2×#492 | C23 | 1 | 45 | yes | complemented |
| 143 | C2×#487 | C23 | 1 | 45 | yes | complemented |
| 144 | C2×#486 | C23 | 1 | 45 | yes | complemented |
| 145 | #3103 | C23 | 1 | 360 | yes | complemented |
| 146 | #3101 | C23 | 1 | 360 | yes | complemented |
| 147 | C2×#465 | C23 | 1 | 180 | yes | complemented |
| 148 | C2×#460 | C23 | 1 | 180 | yes | complemented |
| 149 | C2×#461 | C23 | 1 | 180 | yes | complemented |
| 150 | C2×#448 | C23 | 1 | 180 | yes | complemented |
| 151 | C2×#450 | C23 | 1 | 180 | yes | complemented |
| 152 | #2988 | C23 | 1 | 120 | yes | complemented |
| 153 | #2982 | C23 | 1 | 30 | yes | complemented |
| 154 | #2972 | C23 | 1 | 90 | yes | complemented |
| 155 | C8×#41 | C23 | 1 | 20 | yes | complemented |
| 156 | C8×#41 | C23 | 1 | 60 | yes | complemented |
| 157 | C8×#41 | C23 | 1 | 120 | yes | complemented |
| 158 | C2×C8×Q8 | C23 | 1 | 30 | yes | complemented |
| 159 | C2×C4×SD16 | C23 | 1 | 180 | yes | complemented |
| 160 | C2×C8×D4 | C23 | 1 | 90 | yes | complemented |
| 161 | C2×#431 | C23 | 1 | 45 | yes | complemented |
| 162 | C22×C4×C8 | C23 | 1 | 15 | yes | complemented |
| 163 | #585 | — | 4 | 192 | no | — |
| 164 | #585 | — | 4 | 240 | no | — |
| 165 | #585 | SD16 | 1 | 32 | yes | complemented |
| 166 | C2×2−1+4 | — | 2 | 20 | no | — |
| 167 | C2×2−1+4 | — | 2 | 30 | no | — |
| 168 | C2×2−1+4 | C2×D4 | 1 | 6 | yes | — |
| 169 | C2×H(5,𝔽2) | — | 2 | 120 | no | — |
| 170 | C2×H(5,𝔽2) | — | 2 | 60 | no | — |
| 171 | C2×H(5,𝔽2) | — | 2 | 90 | no | — |
| 172 | C2×H(5,𝔽2) | — | 4 | 320 | no | — |
| 173 | C2×H(5,𝔽2) | — | 4 | 240 | no | — |
| 174 | C2×H(5,𝔽2) | C2×D4 | 1 | 10 | yes | — |
| 175 | C22×#41 | — | 2 | 120 | no | — |
| 176 | C22×#41 | — | 2 | 30 | no | — |
| 177 | C22×#41 | — | 2 | 45 | no | — |
| 178 | C22×#41 | C2×D4 | 1 | 15 | yes | — |
| 179 | C23×Q8 | C24 | 1 | 30 | yes | — |
| 180 | C23×D4 | — | 2 | 90 | no | — |
| 181 | C23×D4 | — | 2 | 15 | no | — |
| 182 | C23×D4 | — | 2 | 15 | no | — |
| 183 | C23×D4 | C24 | 1 | 30 | yes | — |
| 184 | C22×SD16 | — | 8 | 120 | no | — |
| 185 | C22×SD16 | C24 | 1 | 180 | yes | — |
| 186 | C22×SD16 | C24 | 1 | 360 | yes | — |
| 187 | C23×C8 | C24 | 1 | 30 | yes | — |
| 188 | Q82 | — | 2 | 60 | no | — |
| 189 | Q82 | — | 2 | 120 | no | — |
| 190 | Q82 | C24 | 1 | 40 | yes | — |
| 191 | #557 | — | 2 | 120 | no | — |
| 192 | #557 | — | 2 | 20 | no | — |
| 193 | #557 | — | 2 | 120 | no | — |
| 194 | #557 | — | 2 | 120 | no | — |
| 195 | #557 | C24 | 1 | 120 | yes | — |
| 196 | #554 | — | 2 | 180 | no | — |
| 197 | #554 | — | 2 | 360 | no | — |
| 198 | #554 | — | 2 | 360 | no | — |
| 199 | #554 | — | 2 | 360 | no | — |
| 200 | #554 | C24 | 1 | 120 | yes | — |
| 201 | #550 | — | 2 | 60 | no | — |
| 202 | #550 | — | 2 | 120 | no | — |
| 203 | #550 | — | 2 | 120 | no | — |
| 204 | #550 | C24 | 1 | 120 | yes | — |
| 205 | D4×Q8 | — | 2 | 20 | no | — |
| 206 | D4×Q8 | — | 2 | 360 | no | — |
| 207 | D4×Q8 | — | 2 | 60 | no | — |
| 208 | D4×Q8 | C24 | 1 | 360 | yes | — |
| 209 | D4×Q8 | C24 | 1 | 40 | yes | — |
| 210 | #548 | — | 2 | 120 | no | — |
| 211 | #548 | — | 2 | 120 | no | — |
| 212 | #547 | — | 2 | 60 | no | — |
| 213 | #547 | C24 | 1 | 120 | yes | — |
| 214 | #546 | — | 2 | 360 | no | — |
| 215 | #546 | — | 2 | 360 | no | — |
| 216 | D42 | — | 2 | 180 | no | — |
| 217 | D42 | — | 2 | 360 | no | — |
| 218 | D42 | — | 2 | 360 | no | — |
| 219 | D42 | C24 | 1 | 360 | yes | — |
| 220 | #544 | — | 2 | 180 | no | — |
| 221 | #544 | — | 2 | 360 | no | — |
| 222 | #544 | — | 2 | 60 | no | — |
| 223 | #544 | — | 2 | 90 | no | — |
| 224 | #544 | — | 2 | 90 | no | — |
| 225 | #543 | — | 2 | 180 | no | — |
| 226 | #537 | — | 2 | 90 | no | — |
| 227 | #537 | — | 2 | 90 | no | — |
| 228 | #536 | — | 2 | 60 | no | — |
| 229 | #535 | — | 2 | 180 | no | — |
| 230 | #535 | — | 2 | 360 | no | — |
| 231 | #534 | — | 2 | 180 | no | — |
| 232 | #533 | — | 2 | 360 | no | — |
| 233 | #533 | — | 2 | 90 | no | — |
| 234 | #533 | — | 2 | 90 | no | — |
| 235 | #533 | C24 | 1 | 180 | yes | — |
| 236 | #533 | C24 | 1 | 60 | yes | — |
| 237 | #532 | — | 2 | 90 | no | — |
| 238 | #532 | — | 2 | 90 | no | — |
| 239 | #532 | C24 | 1 | 180 | yes | — |
| 240 | #532 | C24 | 1 | 60 | yes | — |
| 241 | C2×C4⋊Q8 | — | 2 | 90 | no | — |
| 242 | C2×C4⋊Q8 | — | 2 | 45 | no | — |
| 243 | C2×C4⋊Q8 | — | 2 | 45 | no | — |
| 244 | C2×C4⋊Q8 | C24 | 1 | 45 | yes | — |
| 245 | C2×C4⋊Q8 | C24 | 1 | 90 | yes | — |
| 246 | C2×C4⋊Q8 | C24 | 1 | 15 | yes | — |
| 247 | C2×C4⋊Q8 | C24 | 1 | 15 | yes | — |
| 248 | C2×#127 | — | 2 | 45 | no | — |
| 249 | C2×#127 | — | 2 | 45 | no | — |
| 250 | C2×#127 | C24 | 1 | 45 | yes | — |
| 251 | C2×#127 | C24 | 1 | 90 | yes | — |
| 252 | C2×#125 | — | 2 | 90 | no | — |
| 253 | C2×#125 | — | 2 | 45 | no | — |
| 254 | C2×#124 | — | 2 | 45 | no | — |
| 255 | #525 | — | 2 | 360 | no | — |
| 256 | C2×C22⋊Q8 | — | 2 | 45 | no | — |
| 257 | C2×C22⋊Q8 | — | 2 | 180 | no | — |
| 258 | C2×C22⋊Q8 | C24 | 1 | 90 | yes | — |
| 259 | C2×#121 | — | 2 | 45 | no | — |
| 260 | C2×#121 | — | 2 | 90 | no | — |
| 261 | C2×#121 | — | 2 | 90 | no | — |
| 262 | C2×#121 | C24 | 1 | 90 | yes | — |
| 263 | C2×#120 | — | 2 | 180 | no | — |
| 264 | #520 | — | 2 | 60 | no | — |
| 265 | #520 | — | 2 | 120 | no | — |
| 266 | #520 | — | 2 | 20 | no | — |
| 267 | #520 | C2×D4 | 1 | 60 | yes | — |
| 268 | #520 | C2×D4 | 1 | 60 | yes | — |
| 269 | #519 | — | 2 | 30 | no | — |
| 270 | #519 | C2×D4 | 1 | 30 | yes | — |
| 271 | #518 | — | 2 | 90 | no | — |
| 272 | #518 | C2×D4 | 1 | 90 | yes | — |
| 273 | C4×#41 | — | 2 | 120 | no | — |
| 274 | C4×#41 | C2×D4 | 1 | 60 | yes | — |
| 275 | C4×#41 | C2×D4 | 1 | 60 | yes | — |
| 276 | C4×#41 | C24 | 1 | 20 | yes | — |
| 277 | C4×#41 | C24 | 1 | 60 | yes | — |
| 278 | C2×C4×Q8 | — | 2 | 30 | no | — |
| 279 | C2×C4×Q8 | — | 2 | 45 | no | — |
| 280 | C2×C4×Q8 | C2×D4 | 1 | 15 | yes | — |
| 281 | C2×C4×Q8 | C24 | 1 | 90 | yes | — |
| 282 | C2×C4×Q8 | C24 | 1 | 15 | yes | — |
| 283 | C2×C4×D4 | — | 2 | 90 | no | — |
| 284 | C2×C4×D4 | — | 2 | 45 | no | — |
| 285 | C2×C4×D4 | C2×D4 | 1 | 45 | yes | — |
| 286 | C2×C4×D4 | C24 | 1 | 90 | yes | — |
| 287 | C2×C4×D4 | C24 | 1 | 45 | yes | — |
| 288 | C2×#117 | — | 2 | 45 | no | — |
| 289 | C2×#117 | C2×D4 | 1 | 45 | yes | — |
| 290 | C22×C4⋊C4 | — | 2 | 15 | no | — |
| 291 | C22×C4⋊C4 | — | 2 | 15 | no | — |
| 292 | C22×C42 | C24 | 1 | 15 | yes | — |
| 293 | #498 | C24 | 1 | 60 | yes | — |
| 294 | #498 | C24 | 1 | 6 | yes | — |
| 295 | #498 | C24 | 1 | 30 | yes | — |
| 296 | #492 | C24 | 1 | 180 | yes | — |
| 297 | #492 | C24 | 1 | 360 | yes | — |
| 298 | #492 | C24 | 1 | 10 | yes | — |
| 299 | #492 | C24 | 1 | 90 | yes | — |
| 300 | #487 | C24 | 1 | 180 | yes | — |
| 301 | #487 | C24 | 1 | 60 | yes | — |
| 302 | #486 | C24 | 1 | 180 | yes | — |
| 303 | #486 | C24 | 1 | 60 | yes | — |
| 304 | #483 | C24 | 1 | 240 | yes | — |
| 305 | #481 | C24 | 1 | 240 | yes | — |
| 306 | #476 | C24 | 1 | 240 | yes | — |
| 307 | #475 | C24 | 1 | 240 | yes | — |
| 308 | #465 | C24 | 1 | 240 | yes | — |
| 309 | #465 | C24 | 1 | 720 | yes | — |
| 310 | #461 | C24 | 1 | 720 | yes | — |
| 311 | #460 | C24 | 1 | 720 | yes | — |
| 312 | #450 | C24 | 1 | 720 | yes | — |
| 313 | #448 | C24 | 1 | 720 | yes | — |
| 314 | C8×Q8 | C24 | 1 | 120 | yes | — |
| 315 | C8×Q8 | C24 | 1 | 40 | yes | — |
| 316 | C4×SD16 | C24 | 1 | 240 | yes | — |
| 317 | C4×SD16 | C24 | 1 | 720 | yes | — |
| 318 | C8×D4 | C24 | 1 | 120 | yes | — |
| 319 | C8×D4 | C24 | 1 | 360 | yes | — |
| 320 | #431 | C24 | 1 | 180 | yes | — |
| 321 | #431 | C24 | 1 | 60 | yes | — |
| 322 | C2×#106 | C24 | 1 | 60 | yes | — |
| 323 | C2×C4⋊C8 | C24 | 1 | 90 | yes | — |
| 324 | C2×#103 | C24 | 1 | 180 | yes | — |
| 325 | C2×#102 | C24 | 1 | 180 | yes | — |
| 326 | C2×C22⋊C8 | C24 | 1 | 90 | yes | — |
| 327 | C2×C4×C8 | C24 | 1 | 15 | yes | — |
| 328 | C2×C4×C8 | C24 | 1 | 45 | yes | — |
| 329 | C2×C4×C8 | C24 | 1 | 90 | yes | — |
| 330 | C25 | — | 2 | 30 | no | — |
| 331 | 2−1+4 | — | 4 | 160 | no | — |
| 332 | 2−1+4 | — | 4 | 240 | no | — |
| 333 | 2−1+4 | C2×SD16 | 1 | 96 | yes | complemented |
| 334 | H(5,𝔽2) | — | 4 | 960 | no | — |
| 335 | H(5,𝔽2) | — | 4 | 480 | no | — |
| 336 | H(5,𝔽2) | — | 4 | 720 | no | — |
| 337 | H(5,𝔽2) | C2×SD16 | 1 | 160 | yes | complemented |
| 338 | C2×#41 | — | 2 | 120 | no | — |
| 339 | C2×#41 | — | 2 | 120 | no | — |
| 340 | C2×#41 | — | 2 | 180 | no | — |
| 341 | C2×#41 | — | 2 | 60 | no | — |
| 342 | C2×#41 | — | 4 | 960 | no | — |
| 343 | C2×#41 | — | 4 | 240 | no | — |
| 344 | C2×#41 | — | 4 | 360 | no | — |
| 345 | C2×#41 | C2×SD16 | 1 | 240 | yes | complemented |
| 346 | C2×#41 | C22×D4 | 1 | 60 | yes | — |
| 347 | C2×#41 | C22×D4 | 1 | 20 | yes | — |
| 348 | C22×Q8 | — | 2 | 40 | no | — |
| 349 | C22×Q8 | — | 2 | 15 | no | — |
| 350 | C22×Q8 | — | 2 | 15 | no | — |
| 351 | C22×Q8 | — | 2 | 90 | no | — |
| 352 | C22×Q8 | — | 8 | 60 | no | — |
| 353 | C22×Q8 | C22×D4 | 1 | 15 | yes | — |
| 354 | C22×Q8 | C25 | 1 | 90 | yes | — |
| 355 | C22×D4 | — | 2 | 90 | no | — |
| 356 | C22×D4 | — | 2 | 360 | no | — |
| 357 | C22×D4 | — | 2 | 90 | no | — |
| 358 | C22×D4 | — | 2 | 45 | no | — |
| 359 | C22×D4 | — | 2 | 45 | no | — |
| 360 | C22×D4 | — | 2 | 90 | no | — |
| 361 | C22×D4 | — | 2 | 90 | no | — |
| 362 | C22×D4 | — | 4 | 720 | no | — |
| 363 | C22×D4 | — | 4 | 120 | no | — |
| 364 | C22×D4 | — | 8 | 60 | no | — |
| 365 | C22×D4 | — | 16 | 30 | no | — |
| 366 | C22×D4 | C22×D4 | 1 | 45 | yes | — |
| 367 | C22×D4 | C25 | 1 | 90 | yes | — |
| 368 | C23×C4 | — | 2 | 30 | no | — |
| 369 | C23×C4 | — | 2 | 90 | no | — |
| 370 | C23×C4 | C22×D4 | 1 | 15 | yes | — |
| 371 | C23×C4 | C22×D4 | 1 | 15 | yes | — |
| 372 | C23×C4 | C25 | 1 | 15 | yes | — |
| 373 | C2×SD16 | — | 4 | 360 | no | — |
| 374 | C2×SD16 | — | 8 | 360 | no | — |
| 375 | C2×SD16 | C25 | 1 | 40 | yes | — |
| 376 | C2×SD16 | C25 | 1 | 360 | yes | — |
| 377 | C22×C8 | — | 4 | 60 | no | — |
| 378 | C22×C8 | C25 | 1 | 30 | yes | — |
| 379 | C22×C8 | C25 | 1 | 90 | yes | — |
| 380 | C4⋊Q8 | — | 2 | 360 | no | — |
| 381 | C4⋊Q8 | — | 2 | 120 | no | — |
| 382 | C4⋊Q8 | — | 2 | 45 | no | — |
| 383 | C4⋊Q8 | — | 2 | 45 | no | — |
| 384 | C4⋊Q8 | — | 2 | 180 | no | — |
| 385 | C4⋊Q8 | — | 2 | 15 | no | — |
| 386 | C4⋊Q8 | — | 2 | 15 | no | — |
| 387 | C4⋊Q8 | — | 2 | 15 | no | — |
| 388 | C4⋊Q8 | — | 2 | 15 | no | — |
| 389 | C4⋊Q8 | C25 | 1 | 10 | yes | — |
| 390 | C4⋊Q8 | C25 | 1 | 90 | yes | — |
| 391 | C4⋊Q8 | C25 | 1 | 6 | yes | — |
| 392 | C4⋊Q8 | C25 | 1 | 6 | yes | — |
| 393 | C4⋊Q8 | C25 | 1 | 30 | yes | — |
| 394 | C4⋊Q8 | C25 | 1 | 30 | yes | — |
| 395 | #127 | — | 2 | 45 | no | — |
| 396 | #127 | — | 2 | 45 | no | — |
| 397 | #127 | — | 2 | 180 | no | — |
| 398 | #127 | C25 | 1 | 10 | yes | — |
| 399 | #127 | C25 | 1 | 90 | yes | — |
| 400 | #125 | — | 2 | 360 | no | — |
| 401 | #125 | — | 2 | 120 | no | — |
| 402 | #125 | — | 2 | 60 | no | — |
| 403 | #125 | — | 2 | 180 | no | — |
| 404 | #124 | — | 2 | 60 | no | — |
| 405 | #124 | — | 2 | 180 | no | — |
| 406 | #123 | — | 2 | 240 | no | — |
| 407 | C22⋊Q8 | — | 2 | 60 | no | — |
| 408 | C22⋊Q8 | — | 2 | 180 | no | — |
| 409 | C22⋊Q8 | — | 2 | 180 | no | — |
| 410 | C22⋊Q8 | — | 2 | 120 | no | — |
| 411 | C22⋊Q8 | — | 2 | 120 | no | — |
| 412 | C22⋊Q8 | — | 2 | 720 | no | — |
| 413 | C22⋊Q8 | — | 2 | 240 | no | — |
| 414 | C22⋊Q8 | C25 | 1 | 120 | yes | — |
| 415 | #121 | — | 2 | 60 | no | — |
| 416 | #121 | — | 2 | 180 | no | — |
| 417 | #121 | — | 2 | 180 | no | — |
| 418 | #121 | — | 2 | 360 | no | — |
| 419 | #121 | — | 2 | 360 | no | — |
| 420 | #121 | C25 | 1 | 120 | yes | — |
| 421 | #120 | — | 2 | 720 | no | — |
| 422 | C4×Q8 | — | 2 | 120 | no | — |
| 423 | C4×Q8 | — | 2 | 40 | no | — |
| 424 | C4×Q8 | — | 2 | 60 | no | — |
| 425 | C4×Q8 | — | 2 | 180 | no | — |
| 426 | C4×Q8 | — | 2 | 180 | no | — |
| 427 | C4×Q8 | C22×D4 | 1 | 20 | yes | — |
| 428 | C4×Q8 | C22×D4 | 1 | 60 | yes | — |
| 429 | C4×Q8 | C22×D4 | 1 | 60 | yes | — |
| 430 | C4×Q8 | C25 | 1 | 120 | yes | — |
| 431 | C4×Q8 | C25 | 1 | 20 | yes | — |
| 432 | C4×D4 | — | 2 | 360 | no | — |
| 433 | C4×D4 | — | 2 | 120 | no | — |
| 434 | C4×D4 | — | 2 | 60 | no | — |
| 435 | C4×D4 | — | 2 | 180 | no | — |
| 436 | C4×D4 | — | 2 | 180 | no | — |
| 437 | C4×D4 | C22×D4 | 1 | 60 | yes | — |
| 438 | C4×D4 | C22×D4 | 1 | 180 | yes | — |
| 439 | C4×D4 | C22×D4 | 1 | 180 | yes | — |
| 440 | C4×D4 | C25 | 1 | 120 | yes | — |
| 441 | C4×D4 | C25 | 1 | 60 | yes | — |
| 442 | #117 | — | 2 | 60 | no | — |
| 443 | #117 | — | 2 | 180 | no | — |
| 444 | #117 | C22×D4 | 1 | 60 | yes | — |
| 445 | #117 | C22×D4 | 1 | 180 | yes | — |
| 446 | C2×C4⋊C4 | — | 2 | 45 | no | — |
| 447 | C2×C4⋊C4 | — | 2 | 45 | no | — |
| 448 | C2×C4⋊C4 | — | 2 | 90 | no | — |
| 449 | C2×C4⋊C4 | — | 2 | 90 | no | — |
| 450 | C2×C4⋊C4 | — | 2 | 15 | no | — |
| 451 | C2×C4⋊C4 | — | 2 | 15 | no | — |
| 452 | C2×C4⋊C4 | — | 2 | 90 | no | — |
| 453 | C2×C4⋊C4 | — | 2 | 90 | no | — |
| 454 | C2×C4⋊C4 | C22×D4 | 1 | 45 | yes | — |
| 455 | C2×C4⋊C4 | C22×D4 | 1 | 45 | yes | — |
| 456 | C2×C4⋊C4 | C25 | 1 | 30 | yes | — |
| 457 | C2×C4⋊C4 | C25 | 1 | 30 | yes | — |
| 458 | C2×C22⋊C4 | — | 2 | 90 | no | — |
| 459 | C2×C22⋊C4 | — | 2 | 90 | no | — |
| 460 | C2×C22⋊C4 | — | 2 | 90 | no | — |
| 461 | C2×C22⋊C4 | C22×D4 | 1 | 90 | yes | — |
| 462 | C2×C42 | — | 2 | 90 | no | — |
| 463 | C2×C42 | C22×D4 | 1 | 45 | yes | — |
| 464 | C2×C42 | C22×D4 | 1 | 45 | yes | — |
| 465 | C2×C42 | C25 | 1 | 45 | yes | — |
| 466 | C2×C42 | C25 | 1 | 15 | yes | — |
| 467 | #106 | C25 | 1 | 24 | yes | — |
| 468 | #106 | C25 | 1 | 120 | yes | — |
| 469 | C4⋊C8 | C25 | 1 | 120 | yes | — |
| 470 | #103 | C25 | 1 | 240 | yes | — |
| 471 | #102 | C25 | 1 | 240 | yes | — |
| 472 | C22⋊C8 | C25 | 1 | 120 | yes | — |
| 473 | C4×C8 | C25 | 1 | 1 | yes | characteristic |
| 474 | C4×C8 | C25 | 1 | 15 | yes | — |
| 475 | C4×C8 | C25 | 1 | 30 | yes | — |
| 476 | C4×C8 | C25 | 1 | 90 | yes | — |
| 477 | C24 | — | 2 | 90 | no | — |
| 478 | C24 | — | 4 | 120 | no | — |
| 479 | C24 | — | 16 | 30 | no | — |
| 480 | C24 | — | 16 | 30 | no | — |
| 481 | C24 | C23×D4 | 1 | 15 | yes | — |
| 482 | #41 | — | 4 | 480 | no | — |
| 483 | #41 | — | 4 | 480 | no | — |
| 484 | #41 | — | 4 | 720 | no | — |
| 485 | #41 | — | 4 | 240 | no | — |
| 486 | #41 | C22×SD16 | 1 | 480 | yes | complemented |
| 487 | #41 | C22×SD16 | 1 | 160 | yes | complemented |
| 488 | C2×Q8 | — | 2 | 6 | no | — |
| 489 | C2×Q8 | — | 2 | 30 | no | — |
| 490 | C2×Q8 | — | 2 | 6 | no | — |
| 491 | C2×Q8 | — | 2 | 30 | no | — |
| 492 | C2×Q8 | — | 2 | 90 | no | — |
| 493 | C2×Q8 | — | 4 | 180 | no | — |
| 494 | C2×Q8 | — | 4 | 160 | no | — |
| 495 | C2×Q8 | — | 4 | 60 | no | — |
| 496 | C2×Q8 | — | 8 | 30 | no | — |
| 497 | C2×Q8 | — | 16 | 90 | no | — |
| 498 | C2×Q8 | C22×SD16 | 1 | 120 | yes | complemented |
| 499 | C2×Q8 | C23×D4 | 1 | 20 | yes | — |
| 500 | C2×Q8 | C26 | 1 | 20 | yes | — |
| 501 | C2×D4 | — | 2 | 120 | no | — |
| 502 | C2×D4 | — | 2 | 10 | no | — |
| 503 | C2×D4 | — | 2 | 90 | no | — |
| 504 | C2×D4 | — | 2 | 10 | no | — |
| 505 | C2×D4 | — | 2 | 90 | no | — |
| 506 | C2×D4 | — | 2 | 90 | no | — |
| 507 | C2×D4 | — | 4 | 180 | no | — |
| 508 | C2×D4 | — | 4 | 360 | no | — |
| 509 | C2×D4 | — | 4 | 1440 | no | — |
| 510 | C2×D4 | — | 4 | 360 | no | — |
| 511 | C2×D4 | — | 4 | 180 | no | — |
| 512 | C2×D4 | — | 8 | 90 | no | — |
| 513 | C2×D4 | — | 16 | 90 | no | — |
| 514 | C2×D4 | — | 16 | 90 | no | — |
| 515 | C2×D4 | C22×SD16 | 1 | 360 | yes | complemented |
| 516 | C2×D4 | C23×D4 | 1 | 60 | yes | — |
| 517 | C2×D4 | C26 | 1 | 20 | yes | — |
| 518 | C22×C4 | — | 2 | 30 | no | — |
| 519 | C22×C4 | — | 2 | 30 | no | — |
| 520 | C22×C4 | — | 2 | 90 | no | — |
| 521 | C22×C4 | — | 2 | 120 | no | — |
| 522 | C22×C4 | — | 4 | 30 | no | — |
| 523 | C22×C4 | — | 4 | 30 | no | — |
| 524 | C22×C4 | — | 4 | 360 | no | — |
| 525 | C22×C4 | — | 16 | 30 | no | — |
| 526 | C22×C4 | C22×SD16 | 1 | 120 | yes | complemented |
| 527 | C22×C4 | C23×D4 | 1 | 15 | yes | — |
| 528 | C22×C4 | C23×D4 | 1 | 45 | yes | — |
| 529 | C22×C4 | C23×D4 | 1 | 45 | yes | — |
| 530 | C22×C4 | C23×D4 | 1 | 45 | yes | — |
| 531 | C22×C4 | C23×D4 | 1 | 15 | yes | — |
| 532 | C22×C4 | C26 | 1 | 15 | yes | — |
| 533 | SD16 | — | 2 | 80 | no | — |
| 534 | SD16 | — | 4 | 360 | no | — |
| 535 | C2×C8 | — | 2 | 60 | no | — |
| 536 | C2×C8 | — | 4 | 90 | no | — |
| 537 | C2×C8 | C26 | 1 | 30 | yes | — |
| 538 | C2×C8 | C26 | 1 | 2 | yes | — |
| 539 | C4⋊C4 | — | 2 | 10 | no | — |
| 540 | C4⋊C4 | — | 2 | 10 | no | — |
| 541 | C4⋊C4 | — | 2 | 6 | no | — |
| 542 | C4⋊C4 | — | 2 | 90 | no | — |
| 543 | C4⋊C4 | — | 2 | 6 | no | — |
| 544 | C4⋊C4 | — | 2 | 90 | no | — |
| 545 | C4⋊C4 | — | 2 | 120 | no | — |
| 546 | C4⋊C4 | — | 2 | 120 | no | — |
| 547 | C4⋊C4 | — | 2 | 30 | no | — |
| 548 | C4⋊C4 | — | 2 | 30 | no | — |
| 549 | C4⋊C4 | — | 2 | 30 | no | — |
| 550 | C4⋊C4 | — | 2 | 30 | no | — |
| 551 | C4⋊C4 | C23×D4 | 1 | 60 | yes | — |
| 552 | C4⋊C4 | C23×D4 | 1 | 60 | yes | — |
| 553 | C4⋊C4 | C26 | 1 | 12 | yes | — |
| 554 | C4⋊C4 | C26 | 1 | 12 | yes | — |
| 555 | C22⋊C4 | — | 2 | 120 | no | — |
| 556 | C22⋊C4 | — | 2 | 120 | no | — |
| 557 | C22⋊C4 | — | 2 | 120 | no | — |
| 558 | C22⋊C4 | C23×D4 | 1 | 120 | yes | — |
| 559 | C42 | — | 2 | 120 | no | — |
| 560 | C42 | C23×D4 | 1 | 15 | yes | — |
| 561 | C42 | C23×D4 | 1 | 15 | yes | — |
| 562 | C42 | C23×D4 | 1 | 90 | yes | — |
| 563 | C42 | C26 | 1 | 1 | yes | characteristic |
| 564 | C42 | C26 | 1 | 15 | yes | — |
| 565 | C23 | — | 2 | 20 | no | — |
| 566 | C23 | — | 4 | 15 | no | — |
| 567 | C23 | — | 4 | 15 | no | — |
| 568 | C23 | — | 4 | 180 | no | — |
| 569 | C23 | — | 8 | 90 | no | — |
| 570 | C23 | — | 8 | 90 | no | — |
| 571 | C23 | — | 32 | 120 | no | — |
| 572 | C23 | C23×SD16 | 1 | 60 | yes | — |
| 573 | C23 | C24×D4 | 1 | 15 | yes | — |
| 574 | Q8 | — | 2 | 40 | no | — |
| 575 | Q8 | — | 4 | 60 | no | — |
| 576 | Q8 | — | 4 | 12 | no | — |
| 577 | Q8 | — | 4 | 12 | no | — |
| 578 | Q8 | — | 8 | 90 | no | — |
| 579 | Q8 | — | 8 | 30 | no | — |
| 580 | Q8 | C23×SD16 | 1 | 80 | yes | — |
| 581 | D4 | — | 2 | 40 | no | — |
| 582 | D4 | — | 4 | 240 | no | — |
| 583 | D4 | — | 4 | 180 | no | — |
| 584 | D4 | — | 4 | 20 | no | — |
| 585 | D4 | — | 4 | 20 | no | — |
| 586 | D4 | — | 8 | 90 | no | — |
| 587 | D4 | — | 8 | 90 | no | — |
| 588 | D4 | C23×SD16 | 1 | 240 | yes | — |
| 589 | C2×C4 | — | 2 | 30 | no | — |
| 590 | C2×C4 | — | 2 | 30 | no | — |
| 591 | C2×C4 | — | 2 | 12 | no | — |
| 592 | C2×C4 | — | 2 | 20 | no | — |
| 593 | C2×C4 | — | 2 | 12 | no | — |
| 594 | C2×C4 | — | 4 | 45 | no | — |
| 595 | C2×C4 | — | 4 | 45 | no | — |
| 596 | C2×C4 | — | 4 | 60 | no | — |
| 597 | C2×C4 | — | 4 | 240 | no | — |
| 598 | C2×C4 | — | 8 | 90 | no | — |
| 599 | C2×C4 | — | 8 | 30 | no | — |
| 600 | C2×C4 | C23×SD16 | 1 | 180 | yes | — |
| 601 | C2×C4 | C23×SD16 | 1 | 60 | yes | — |
| 602 | C2×C4 | C24×D4 | 1 | 15 | yes | — |
| 603 | C2×C4 | C24×D4 | 1 | 15 | yes | — |
| 604 | C2×C4 | C24×D4 | 1 | 15 | yes | — |
| 605 | C2×C4 | C24×D4 | 1 | 1 | yes | characteristic |
| 606 | C2×C4 | C24×D4 | 1 | 1 | yes | characteristic |
| 607 | C2×C4 | C27 | 1 | 1 | yes | characteristic |
| 608 | C8 | — | 2 | 30 | no | — |
| 609 | C8 | H(7,𝔽2) | 1 | 4 | yes | complemented |
| 610 | C22 | — | 2 | 15 | no | — |
| 611 | C22 | — | 2 | 15 | no | — |
| 612 | C22 | — | 4 | 60 | no | — |
| 613 | C22 | — | 4 | 20 | no | — |
| 614 | C22 | — | 4 | 20 | no | — |
| 615 | C22 | — | 4 | 20 | no | — |
| 616 | C22 | — | 16 | 180 | no | — |
| 617 | C22 | C24×SD16 | 1 | 30 | yes | — |
| 618 | C22 | C25×D4 | 1 | 1 | yes | characteristic |
| 619 | C4 | — | 2 | 15 | no | — |
| 620 | C4 | — | 2 | 15 | no | — |
| 621 | C4 | — | 4 | 12 | no | — |
| 622 | C4 | — | 4 | 12 | no | — |
| 623 | C4 | — | 4 | 20 | no | — |
| 624 | C4 | C24×SD16 | 1 | 30 | yes | — |
| 625 | C4 | C24×SD16 | 1 | 2 | yes | — |
| 626 | C4 | #63092 | 1 | 2 | yes | — |
| 627 | C4 | C2×H(7,𝔽2) | 1 | 2 | yes | — |
| 628 | C2 | — | 2 | 30 | no | — |
| 629 | C2 | — | 8 | 20 | no | — |
| 630 | C2 | #10586097 | 1 | 1 | yes | characteristic |
| 631 | C2 | C2×#63092 | 1 | 1 | yes | characteristic |
| 632 | C2 | C25×SD16 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C25×D4 |
| commutator, Frattini, cosocle | C2×C4 | C27 |
| prime radical | #10586097 | C2 |
| LCS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C4×#585 ◁ G | |
| LECS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10586098 | C2 | semidirect |
| 3. #10585533 | C2 | semidirect |
| 4. SD16×H(5,𝔽2) | C2 | semidirect |
| 5. #10581739 | C2 | semidirect |
| 6. #10581738 | C2 | semidirect |
| 7. #10580903 | C2 | semidirect |
| 8. C2×#62413 | C2 | semidirect |
| 9. C8×#585 | C2 | semidirect |
| 11. #63004 | C22 | semidirect |
| 16. Q8×H(5,𝔽2) | C22 | semidirect |
| 21. #62813 | C22 | semidirect |
| 23. C2×#3503 | C22 | semidirect |
| 27. #62526 | C22 | semidirect |
| 28. #62525 | C22 | semidirect |
| 29. #62469 | C22 | semidirect |
| 30. #62413 | C22 | semidirect |
| 31. #62413 | C22 | semidirect |
| 32. #62413 | C22 | semidirect |
| 33. #62357 | C22 | semidirect |
| 34. #62243 | C22 | semidirect |
| 35. #61951 | C22 | semidirect |
| 36. #61948 | C22 | semidirect |
| 37. #61883 | C22 | semidirect |
| 38. #61881 | C22 | semidirect |
| 39. #61562 | C22 | semidirect |
| 40. #61560 | C22 | semidirect |
| 41. SD16×#41 | C22 | semidirect |
| 42. C2×#3392 | C22 | semidirect |
| 43. C2×D4×SD16 | C22 | semidirect |
| 44. #60941 | C22 | semidirect |
| 45. C2×#3206 | C22 | semidirect |
| 46. C2×#3208 | C22 | semidirect |
| 47. C2×#3167 | C22 | semidirect |
| 48. C22×#492 | C22 | semidirect |
| 49. C8×2−1+4 | C22 | semidirect |
| 50. C8×H(5,𝔽2) | C22 | semidirect |
| 51. #60276 | C22 | semidirect |
| 52. C2×C8×#41 | C22 | semidirect |
| 59. C23×SD16 | C23 | semidirect |
| 65. #3503 | C23 | semidirect |
| 66. #3503 | C23 | semidirect |
| 67. #3503 | C23 | semidirect |
| 70. #3502 | C23 | semidirect |
| 73. #3501 | C23 | semidirect |
| 89. Q8×#41 | C23 | semidirect |
| 91. C2×#557 | C23 | semidirect |
| 97. C2×D4×Q8 | C23 | semidirect |
| 104. C2×#533 | C23 | semidirect |
| 106. C22×C4⋊Q8 | C23 | semidirect |
| 118. #3392 | C23 | semidirect |
| 119. #3392 | C23 | semidirect |
| 120. Q8×SD16 | C23 | semidirect |
| 121. #3362 | C23 | semidirect |
| 122. #3359 | C23 | semidirect |
| 123. #3335 | C23 | semidirect |
| 124. #3298 | C23 | semidirect |
| 125. #3295 | C23 | semidirect |
| 126. D4×SD16 | C23 | semidirect |
| 127. D4×SD16 | C23 | semidirect |
| 128. #3246 | C23 | semidirect |
| 129. #3229 | C23 | semidirect |
| 130. #3227 | C23 | semidirect |
| 131. #3208 | C23 | semidirect |
| 132. #3208 | C23 | semidirect |
| 133. #3206 | C23 | semidirect |
| 134. #3206 | C23 | semidirect |
| 135. #3187 | C23 | semidirect |
| 136. #3167 | C23 | semidirect |
| 137. #3167 | C23 | semidirect |
| 138. #3167 | C23 | semidirect |
| 139. C2×#498 | C23 | semidirect |
| 140. C2×#492 | C23 | semidirect |
| 141. C2×#492 | C23 | semidirect |
| 142. C2×#492 | C23 | semidirect |
| 143. C2×#487 | C23 | semidirect |
| 144. C2×#486 | C23 | semidirect |
| 145. #3103 | C23 | semidirect |
| 146. #3101 | C23 | semidirect |
| 147. C2×#465 | C23 | semidirect |
| 148. C2×#460 | C23 | semidirect |
| 149. C2×#461 | C23 | semidirect |
| 150. C2×#448 | C23 | semidirect |
| 151. C2×#450 | C23 | semidirect |
| 152. #2988 | C23 | semidirect |
| 153. #2982 | C23 | semidirect |
| 154. #2972 | C23 | semidirect |
| 155. C8×#41 | C23 | semidirect |
| 156. C8×#41 | C23 | semidirect |
| 157. C8×#41 | C23 | semidirect |
| 158. C2×C8×Q8 | C23 | semidirect |
| 159. C2×C4×SD16 | C23 | semidirect |
| 160. C2×C8×D4 | C23 | semidirect |
| 161. C2×#431 | C23 | semidirect |
| 162. C22×C4×C8 | C23 | semidirect |
| 165. #585 | SD16 | semidirect |
| 333. 2−1+4 | C2×SD16 | semidirect |
| 337. H(5,𝔽2) | C2×SD16 | semidirect |
| 345. C2×#41 | C2×SD16 | semidirect |
| 486. #41 | C22×SD16 | semidirect |
| 487. #41 | C22×SD16 | semidirect |
| 498. C2×Q8 | C22×SD16 | semidirect |
| 515. C2×D4 | C22×SD16 | semidirect |
| 526. C22×C4 | C22×SD16 | semidirect |
| 609. C8 | H(7,𝔽2) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10586098 | 2 |
| #10586097 | 2 |
| #10585533 | 2 |
| SD16×H(5,𝔽2) | 2 |
| #10581739 | 2 |
| #10581738 | 2 |
| #10580903 | 2 |
| C2×#62413 | 2 |
| C8×#585 | 2 |