← C22×#62987 #72278398
Subgroups — C22×#62987 #72278398
Order 1024.
841225 conjugacy classes of subgroups.
The subgroup lattice has 855 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C23×#585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C24×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#62987 | C2 | 1 | 192 | yes | maximal, direct product factor |
| 4 | C22×#3500 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | C22×#3489 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | C22×#3488 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | C22×#3485 | C2 | 1 | 9 | yes | maximal, complemented |
| 8 | C22×#3496 | C2 | 1 | 9 | yes | maximal, complemented |
| 9 | C22×#3484 | C2 | 1 | 9 | yes | maximal, complemented |
| 10 | C22×D4×#41 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | C23×#546 | C2 | 1 | 9 | yes | maximal, complemented |
| 12 | C22×C4×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C22×#585 | — | 2 | 64 | no | — |
| 14 | C22×#585 | C22 | 1 | 96 | yes | complemented |
| 15 | C23×2−1+4 | C22 | 1 | 6 | yes | complemented |
| 16 | C23×H(5,𝔽2) | — | 2 | 64 | no | — |
| 17 | C23×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 18 | C23×H(5,𝔽2) | C22 | 1 | 9 | yes | complemented |
| 19 | C23×H(5,𝔽2) | C22 | 1 | 6 | yes | complemented |
| 20 | C23×H(5,𝔽2) | C22 | 1 | 9 | yes | complemented |
| 21 | C23×H(5,𝔽2) | C22 | 1 | 96 | yes | complemented |
| 22 | C24×#41 | C22 | 1 | 6 | yes | complemented |
| 23 | C24×#41 | C22 | 1 | 9 | yes | complemented |
| 24 | C24×#41 | C22 | 1 | 6 | yes | complemented |
| 25 | C25×D4 | C22 | 1 | 9 | yes | complemented |
| 26 | #62987 | C22 | 1 | 4096 | yes | direct product factor |
| 27 | C2×#3500 | C22 | 1 | 576 | yes | complemented |
| 28 | C2×#3489 | C22 | 1 | 576 | yes | complemented |
| 29 | C2×#3488 | C22 | 1 | 576 | yes | complemented |
| 30 | C2×#3485 | C22 | 1 | 864 | yes | complemented |
| 31 | C2×#3496 | C22 | 1 | 864 | yes | complemented |
| 32 | C2×#3484 | C22 | 1 | 864 | yes | complemented |
| 33 | C2×D4×#41 | C22 | 1 | 576 | yes | complemented |
| 34 | C22×#550 | C22 | 1 | 6 | yes | complemented |
| 35 | C22×#547 | C22 | 1 | 18 | yes | complemented |
| 36 | C22×#547 | C22 | 1 | 36 | yes | complemented |
| 37 | C22×#548 | C22 | 1 | 2 | yes | complemented |
| 38 | C22×#548 | C22 | 1 | 6 | yes | complemented |
| 39 | C22×#548 | C22 | 1 | 12 | yes | complemented |
| 40 | C22×#546 | C22 | 1 | 18 | yes | complemented |
| 41 | C22×#546 | C22 | 1 | 36 | yes | complemented |
| 42 | C22×#546 | C22 | 1 | 36 | yes | complemented |
| 43 | C22×#546 | C22 | 1 | 36 | yes | complemented |
| 44 | C22×#546 | C22 | 1 | 36 | yes | complemented |
| 45 | C22×#546 | C22 | 1 | 18 | yes | complemented |
| 46 | C22×#546 | C22 | 1 | 864 | yes | complemented |
| 47 | C22×D4×Q8 | C22 | 1 | 6 | yes | complemented |
| 48 | C22×D42 | C22 | 1 | 18 | yes | complemented |
| 49 | C22×D42 | C22 | 1 | 36 | yes | complemented |
| 50 | C22×#536 | C22 | 1 | 18 | yes | complemented |
| 51 | C22×#537 | C22 | 1 | 18 | yes | complemented |
| 52 | C22×#535 | C22 | 1 | 18 | yes | complemented |
| 53 | C22×#534 | C22 | 1 | 36 | yes | complemented |
| 54 | C22×#532 | C22 | 1 | 18 | yes | complemented |
| 55 | C23×#124 | C22 | 1 | 9 | yes | complemented |
| 56 | C22×#525 | C22 | 1 | 18 | yes | complemented |
| 57 | C22×#525 | C22 | 1 | 18 | yes | complemented |
| 58 | C23×#123 | C22 | 1 | 18 | yes | complemented |
| 59 | C23×C22⋊Q8 | C22 | 1 | 9 | yes | complemented |
| 60 | C23×#121 | C22 | 1 | 18 | yes | complemented |
| 61 | C23×#121 | C22 | 1 | 9 | yes | complemented |
| 62 | C23×#120 | C22 | 1 | 18 | yes | complemented |
| 63 | C2×C4×H(5,𝔽2) | C22 | 1 | 96 | yes | complemented |
| 64 | C22×#520 | C22 | 1 | 6 | yes | complemented |
| 65 | C22×#518 | C22 | 1 | 9 | yes | complemented |
| 66 | C22×C4×#41 | C22 | 1 | 6 | yes | complemented |
| 67 | C23×C4×D4 | C22 | 1 | 9 | yes | complemented |
| 68 | C23×C4×D4 | C22 | 1 | 9 | yes | complemented |
| 69 | C24×C22⋊C4 | C22 | 1 | 6 | yes | complemented |
| 70 | C27 | C23 | 1 | 6 | yes | — |
| 71 | C2×#585 | — | 2 | 3072 | no | — |
| 72 | C2×#585 | C23 | 1 | 1024 | yes | complemented |
| 73 | C22×2−1+4 | — | 2 | 192 | no | — |
| 74 | C22×2−1+4 | C23 | 1 | 288 | yes | complemented |
| 75 | C22×H(5,𝔽2) | — | 2 | 3072 | no | — |
| 76 | C22×H(5,𝔽2) | — | 2 | 192 | no | — |
| 77 | C22×H(5,𝔽2) | — | 2 | 288 | no | — |
| 78 | C22×H(5,𝔽2) | — | 2 | 288 | no | — |
| 79 | C22×H(5,𝔽2) | D4 | 1 | 64 | yes | complemented |
| 80 | C22×H(5,𝔽2) | C23 | 1 | 48 | yes | — |
| 81 | C22×H(5,𝔽2) | C23 | 1 | 432 | yes | complemented |
| 82 | C22×H(5,𝔽2) | C23 | 1 | 288 | yes | complemented |
| 83 | C22×H(5,𝔽2) | C23 | 1 | 432 | yes | complemented |
| 84 | C22×H(5,𝔽2) | C23 | 1 | 1024 | yes | complemented |
| 85 | C23×#41 | — | 2 | 192 | no | — |
| 86 | C23×#41 | — | 2 | 192 | no | — |
| 87 | C23×#41 | — | 2 | 288 | no | — |
| 88 | C23×#41 | C23 | 1 | 18 | yes | — |
| 89 | C23×#41 | C23 | 1 | 18 | yes | — |
| 90 | C23×#41 | C23 | 1 | 6 | yes | — |
| 91 | C23×#41 | C23 | 1 | 6 | yes | — |
| 92 | C23×#41 | C23 | 1 | 288 | yes | complemented |
| 93 | C23×#41 | C23 | 1 | 18 | yes | complemented |
| 94 | C23×#41 | C23 | 1 | 2 | yes | complemented |
| 95 | C23×#41 | C23 | 1 | 18 | yes | complemented |
| 96 | C23×#41 | C23 | 1 | 36 | yes | complemented |
| 97 | C23×#41 | C23 | 1 | 432 | yes | complemented |
| 98 | C23×#41 | C23 | 1 | 288 | yes | complemented |
| 99 | C24×Q8 | C23 | 1 | 2 | yes | — |
| 100 | C24×Q8 | C23 | 1 | 9 | yes | complemented |
| 101 | C24×Q8 | C23 | 1 | 6 | yes | complemented |
| 102 | C24×D4 | — | 2 | 288 | no | — |
| 103 | C24×D4 | C23 | 1 | 18 | yes | — |
| 104 | C24×D4 | C23 | 1 | 18 | yes | — |
| 105 | C24×D4 | C23 | 1 | 9 | yes | — |
| 106 | C24×D4 | C23 | 1 | 36 | yes | — |
| 107 | C24×D4 | C23 | 1 | 9 | yes | — |
| 108 | C24×D4 | C23 | 1 | 9 | yes | — |
| 109 | C24×D4 | C23 | 1 | 432 | yes | complemented |
| 110 | C24×D4 | C23 | 1 | 18 | yes | complemented |
| 111 | C24×D4 | C23 | 1 | 18 | yes | complemented |
| 112 | C24×D4 | C23 | 1 | 18 | yes | complemented |
| 113 | C25×C4 | C23 | 1 | 9 | yes | — |
| 114 | C25×C4 | C23 | 1 | 6 | yes | complemented |
| 115 | C25×C4 | C23 | 1 | 9 | yes | complemented |
| 116 | C25×C4 | C23 | 1 | 6 | yes | complemented |
| 117 | #3500 | C23 | 1 | 6144 | yes | complemented |
| 118 | #3496 | C23 | 1 | 9216 | yes | complemented |
| 119 | #3489 | C23 | 1 | 6144 | yes | complemented |
| 120 | #3488 | C23 | 1 | 6144 | yes | complemented |
| 121 | #3485 | C23 | 1 | 9216 | yes | complemented |
| 122 | #3484 | C23 | 1 | 9216 | yes | complemented |
| 123 | D4×#41 | C23 | 1 | 6144 | yes | complemented |
| 124 | C2×#550 | C23 | 1 | 288 | yes | complemented |
| 125 | C2×D4×Q8 | C23 | 1 | 288 | yes | complemented |
| 126 | C2×#548 | C23 | 1 | 96 | yes | complemented |
| 127 | C2×#548 | C23 | 1 | 576 | yes | complemented |
| 128 | C2×#548 | C23 | 1 | 288 | yes | complemented |
| 129 | C2×#547 | C23 | 1 | 1728 | yes | complemented |
| 130 | C2×#547 | C23 | 1 | 864 | yes | complemented |
| 131 | C2×#546 | C23 | 1 | 1728 | yes | complemented |
| 132 | C2×#546 | C23 | 1 | 864 | yes | complemented |
| 133 | C2×#546 | C23 | 1 | 1728 | yes | complemented |
| 134 | C2×#546 | C23 | 1 | 1728 | yes | complemented |
| 135 | C2×#546 | C23 | 1 | 1728 | yes | complemented |
| 136 | C2×#546 | C23 | 1 | 864 | yes | complemented |
| 137 | C2×#546 | C23 | 1 | 9216 | yes | complemented |
| 138 | C2×D42 | C23 | 1 | 864 | yes | complemented |
| 139 | C2×D42 | C23 | 1 | 1728 | yes | complemented |
| 140 | C2×#537 | C23 | 1 | 864 | yes | complemented |
| 141 | C2×#536 | C23 | 1 | 864 | yes | complemented |
| 142 | C2×#535 | C23 | 1 | 864 | yes | complemented |
| 143 | C2×#534 | C23 | 1 | 1728 | yes | complemented |
| 144 | C2×#532 | C23 | 1 | 864 | yes | complemented |
| 145 | C22×C4⋊Q8 | C23 | 1 | 18 | yes | complemented |
| 146 | C22×#127 | C23 | 1 | 18 | yes | complemented |
| 147 | C22×#124 | C23 | 1 | 18 | yes | complemented |
| 148 | C22×#124 | C23 | 1 | 36 | yes | complemented |
| 149 | C22×#124 | C23 | 1 | 6 | yes | complemented |
| 150 | C22×#124 | C23 | 1 | 432 | yes | complemented |
| 151 | C2×#525 | C23 | 1 | 864 | yes | complemented |
| 152 | C2×#525 | C23 | 1 | 864 | yes | complemented |
| 153 | C22×#123 | C23 | 1 | 36 | yes | complemented |
| 154 | C22×#123 | C23 | 1 | 72 | yes | complemented |
| 155 | C22×#123 | C23 | 1 | 36 | yes | complemented |
| 156 | C22×#123 | C23 | 1 | 864 | yes | complemented |
| 157 | C22×C22⋊Q8 | C23 | 1 | 18 | yes | — |
| 158 | C22×C22⋊Q8 | C23 | 1 | 36 | yes | complemented |
| 159 | C22×C22⋊Q8 | C23 | 1 | 6 | yes | complemented |
| 160 | C22×C22⋊Q8 | C23 | 1 | 18 | yes | complemented |
| 161 | C22×C22⋊Q8 | C23 | 1 | 18 | yes | complemented |
| 162 | C22×C22⋊Q8 | C23 | 1 | 432 | yes | complemented |
| 163 | C22×#121 | C23 | 1 | 6 | yes | — |
| 164 | C22×#121 | C23 | 1 | 18 | yes | complemented |
| 165 | C22×#121 | C23 | 1 | 36 | yes | complemented |
| 166 | C22×#121 | C23 | 1 | 72 | yes | complemented |
| 167 | C22×#121 | C23 | 1 | 36 | yes | complemented |
| 168 | C22×#121 | C23 | 1 | 18 | yes | complemented |
| 169 | C22×#121 | C23 | 1 | 18 | yes | complemented |
| 170 | C22×#121 | C23 | 1 | 36 | yes | complemented |
| 171 | C22×#121 | C23 | 1 | 864 | yes | complemented |
| 172 | C22×#121 | C23 | 1 | 432 | yes | complemented |
| 173 | C22×#120 | C23 | 1 | 36 | yes | — |
| 174 | C22×#120 | C23 | 1 | 72 | yes | complemented |
| 175 | C22×#120 | C23 | 1 | 36 | yes | complemented |
| 176 | C22×#120 | C23 | 1 | 864 | yes | complemented |
| 177 | C4×H(5,𝔽2) | C23 | 1 | 1024 | yes | complemented |
| 178 | C2×#520 | C23 | 1 | 288 | yes | complemented |
| 179 | C2×#518 | C23 | 1 | 432 | yes | complemented |
| 180 | C2×C4×#41 | C23 | 1 | 288 | yes | complemented |
| 181 | C22×C4×Q8 | C23 | 1 | 2 | yes | complemented |
| 182 | C22×C4×Q8 | C23 | 1 | 6 | yes | complemented |
| 183 | C22×C4×D4 | C23 | 1 | 6 | yes | — |
| 184 | C22×C4×D4 | C23 | 1 | 18 | yes | — |
| 185 | C22×C4×D4 | C23 | 1 | 18 | yes | complemented |
| 186 | C22×C4×D4 | C23 | 1 | 36 | yes | complemented |
| 187 | C22×C4×D4 | C23 | 1 | 18 | yes | complemented |
| 188 | C22×C4×D4 | C23 | 1 | 18 | yes | complemented |
| 189 | C22×C4×D4 | C23 | 1 | 18 | yes | complemented |
| 190 | C22×C4×D4 | C23 | 1 | 36 | yes | complemented |
| 191 | C22×C4×D4 | C23 | 1 | 432 | yes | complemented |
| 192 | C22×C4×D4 | C23 | 1 | 432 | yes | complemented |
| 193 | C22×#117 | C23 | 1 | 18 | yes | complemented |
| 194 | C23×C4⋊C4 | C23 | 1 | 9 | yes | complemented |
| 195 | C23×C4⋊C4 | C23 | 1 | 9 | yes | complemented |
| 196 | C23×C4⋊C4 | C23 | 1 | 18 | yes | complemented |
| 197 | C23×C22⋊C4 | C23 | 1 | 9 | yes | — |
| 198 | C23×C22⋊C4 | C23 | 1 | 18 | yes | — |
| 199 | C23×C22⋊C4 | C23 | 1 | 288 | yes | complemented |
| 200 | C23×C22⋊C4 | C23 | 1 | 18 | yes | complemented |
| 201 | C23×C22⋊C4 | C23 | 1 | 18 | yes | complemented |
| 202 | C23×C22⋊C4 | C23 | 1 | 18 | yes | complemented |
| 203 | C23×C22⋊C4 | C23 | 1 | 9 | yes | complemented |
| 204 | C23×C22⋊C4 | C23 | 1 | 18 | yes | complemented |
| 205 | C23×C42 | C23 | 1 | 9 | yes | complemented |
| 206 | C26 | — | 2 | 96 | no | — |
| 207 | C26 | — | 4 | 48 | no | — |
| 208 | C26 | — | 8 | 24 | no | — |
| 209 | C26 | C24 | 1 | 9 | yes | — |
| 210 | C26 | C24 | 1 | 9 | yes | — |
| 211 | C26 | C24 | 1 | 18 | yes | — |
| 212 | C26 | C24 | 1 | 144 | yes | — |
| 213 | C26 | C24 | 1 | 6 | yes | — |
| 214 | #585 | — | 2 | 16384 | no | — |
| 215 | C2×2−1+4 | — | 2 | 4608 | no | — |
| 216 | C2×2−1+4 | C24 | 1 | 1536 | yes | complemented |
| 217 | C2×H(5,𝔽2) | — | 2 | 16384 | no | — |
| 218 | C2×H(5,𝔽2) | — | 2 | 4608 | no | — |
| 219 | C2×H(5,𝔽2) | — | 2 | 6912 | no | — |
| 220 | C2×H(5,𝔽2) | — | 2 | 6912 | no | — |
| 221 | C2×H(5,𝔽2) | C2×D4 | 1 | 1536 | yes | complemented |
| 222 | C2×H(5,𝔽2) | C24 | 1 | 256 | yes | — |
| 223 | C2×H(5,𝔽2) | C24 | 1 | 2304 | yes | complemented |
| 224 | C2×H(5,𝔽2) | C24 | 1 | 1536 | yes | complemented |
| 225 | C2×H(5,𝔽2) | C24 | 1 | 2304 | yes | complemented |
| 226 | C22×#41 | — | 2 | 4608 | no | — |
| 227 | C22×#41 | — | 2 | 4608 | no | — |
| 228 | C22×#41 | — | 2 | 32 | no | — |
| 229 | C22×#41 | — | 2 | 96 | no | — |
| 230 | C22×#41 | — | 2 | 288 | no | — |
| 231 | C22×#41 | — | 2 | 288 | no | — |
| 232 | C22×#41 | — | 2 | 576 | no | — |
| 233 | C22×#41 | — | 2 | 6912 | no | — |
| 234 | C22×#41 | — | 2 | 288 | no | — |
| 235 | C22×#41 | — | 2 | 288 | no | — |
| 236 | C22×#41 | C2×D4 | 1 | 192 | yes | complemented |
| 237 | C22×#41 | C24 | 1 | 432 | yes | — |
| 238 | C22×#41 | C24 | 1 | 432 | yes | — |
| 239 | C22×#41 | C24 | 1 | 144 | yes | — |
| 240 | C22×#41 | C24 | 1 | 144 | yes | — |
| 241 | C22×#41 | C24 | 1 | 1536 | yes | complemented |
| 242 | C22×#41 | C24 | 1 | 432 | yes | complemented |
| 243 | C22×#41 | C24 | 1 | 48 | yes | complemented |
| 244 | C22×#41 | C24 | 1 | 432 | yes | complemented |
| 245 | C22×#41 | C24 | 1 | 864 | yes | complemented |
| 246 | C22×#41 | C24 | 1 | 2304 | yes | complemented |
| 247 | C22×#41 | C24 | 1 | 1536 | yes | complemented |
| 248 | C23×Q8 | — | 2 | 32 | no | — |
| 249 | C23×Q8 | — | 2 | 96 | no | — |
| 250 | C23×Q8 | — | 2 | 144 | no | — |
| 251 | C23×Q8 | C24 | 1 | 6 | yes | — |
| 252 | C23×Q8 | C24 | 1 | 48 | yes | — |
| 253 | C23×Q8 | C24 | 1 | 18 | yes | — |
| 254 | C23×Q8 | C24 | 1 | 2 | yes | — |
| 255 | C23×Q8 | C24 | 1 | 216 | yes | complemented |
| 256 | C23×Q8 | C24 | 1 | 144 | yes | complemented |
| 257 | C23×D4 | — | 2 | 288 | no | — |
| 258 | C23×D4 | — | 2 | 288 | no | — |
| 259 | C23×D4 | — | 2 | 288 | no | — |
| 260 | C23×D4 | — | 2 | 576 | no | — |
| 261 | C23×D4 | — | 2 | 288 | no | — |
| 262 | C23×D4 | — | 2 | 6912 | no | — |
| 263 | C23×D4 | — | 2 | 144 | no | — |
| 264 | C23×D4 | — | 4 | 72 | no | — |
| 265 | C23×D4 | — | 8 | 72 | no | — |
| 266 | C23×D4 | C2×D4 | 1 | 288 | yes | complemented |
| 267 | C23×D4 | C24 | 1 | 36 | yes | — |
| 268 | C23×D4 | C24 | 1 | 18 | yes | — |
| 269 | C23×D4 | C24 | 1 | 6 | yes | — |
| 270 | C23×D4 | C24 | 1 | 432 | yes | — |
| 271 | C23×D4 | C24 | 1 | 432 | yes | — |
| 272 | C23×D4 | C24 | 1 | 216 | yes | — |
| 273 | C23×D4 | C24 | 1 | 864 | yes | — |
| 274 | C23×D4 | C24 | 1 | 36 | yes | — |
| 275 | C23×D4 | C24 | 1 | 6 | yes | — |
| 276 | C23×D4 | C24 | 1 | 18 | yes | — |
| 277 | C23×D4 | C24 | 1 | 216 | yes | — |
| 278 | C23×D4 | C24 | 1 | 36 | yes | — |
| 279 | C23×D4 | C24 | 1 | 18 | yes | — |
| 280 | C23×D4 | C24 | 1 | 216 | yes | — |
| 281 | C23×D4 | C24 | 1 | 2304 | yes | complemented |
| 282 | C23×D4 | C24 | 1 | 432 | yes | complemented |
| 283 | C23×D4 | C24 | 1 | 432 | yes | complemented |
| 284 | C23×D4 | C24 | 1 | 432 | yes | complemented |
| 285 | C24×C4 | — | 2 | 96 | no | — |
| 286 | C24×C4 | — | 2 | 144 | no | — |
| 287 | C24×C4 | — | 2 | 144 | no | — |
| 288 | C24×C4 | — | 8 | 24 | no | — |
| 289 | C24×C4 | C24 | 1 | 6 | yes | — |
| 290 | C24×C4 | C24 | 1 | 9 | yes | — |
| 291 | C24×C4 | C24 | 1 | 18 | yes | — |
| 292 | C24×C4 | C24 | 1 | 216 | yes | — |
| 293 | C24×C4 | C24 | 1 | 9 | yes | — |
| 294 | C24×C4 | C24 | 1 | 6 | yes | — |
| 295 | C24×C4 | C24 | 1 | 18 | yes | — |
| 296 | C24×C4 | C24 | 1 | 18 | yes | — |
| 297 | C24×C4 | C24 | 1 | 9 | yes | — |
| 298 | C24×C4 | C24 | 1 | 18 | yes | — |
| 299 | C24×C4 | C24 | 1 | 9 | yes | — |
| 300 | C24×C4 | C24 | 1 | 9 | yes | — |
| 301 | C24×C4 | C24 | 1 | 144 | yes | complemented |
| 302 | C24×C4 | C24 | 1 | 216 | yes | complemented |
| 303 | C24×C4 | C24 | 1 | 144 | yes | complemented |
| 304 | #550 | C24 | 1 | 1536 | yes | complemented |
| 305 | D4×Q8 | C24 | 1 | 1536 | yes | complemented |
| 306 | #548 | C24 | 1 | 512 | yes | complemented |
| 307 | #548 | C24 | 1 | 1536 | yes | complemented |
| 308 | #548 | C24 | 1 | 3072 | yes | complemented |
| 309 | #547 | C24 | 1 | 4608 | yes | complemented |
| 310 | #547 | C24 | 1 | 9216 | yes | complemented |
| 311 | #546 | C24 | 1 | 4608 | yes | complemented |
| 312 | #546 | C24 | 1 | 9216 | yes | complemented |
| 313 | #546 | C24 | 1 | 9216 | yes | complemented |
| 314 | #546 | C24 | 1 | 9216 | yes | complemented |
| 315 | #546 | C24 | 1 | 9216 | yes | complemented |
| 316 | #546 | C24 | 1 | 4608 | yes | complemented |
| 317 | D42 | C24 | 1 | 4608 | yes | complemented |
| 318 | D42 | C24 | 1 | 9216 | yes | complemented |
| 319 | #537 | C24 | 1 | 4608 | yes | complemented |
| 320 | #536 | C24 | 1 | 4608 | yes | complemented |
| 321 | #535 | C24 | 1 | 4608 | yes | complemented |
| 322 | #534 | C24 | 1 | 9216 | yes | complemented |
| 323 | #532 | C24 | 1 | 4608 | yes | complemented |
| 324 | C2×C4⋊Q8 | C24 | 1 | 432 | yes | complemented |
| 325 | C2×#127 | C24 | 1 | 432 | yes | complemented |
| 326 | C2×#124 | C24 | 1 | 432 | yes | complemented |
| 327 | C2×#124 | C24 | 1 | 864 | yes | complemented |
| 328 | C2×#124 | C24 | 1 | 144 | yes | complemented |
| 329 | C2×#124 | C24 | 1 | 2304 | yes | complemented |
| 330 | #525 | C24 | 1 | 4608 | yes | complemented |
| 331 | #525 | C24 | 1 | 4608 | yes | complemented |
| 332 | C2×#123 | C24 | 1 | 864 | yes | complemented |
| 333 | C2×#123 | C24 | 1 | 1728 | yes | complemented |
| 334 | C2×#123 | C24 | 1 | 864 | yes | complemented |
| 335 | C2×#123 | C24 | 1 | 4608 | yes | complemented |
| 336 | C2×C22⋊Q8 | C24 | 1 | 432 | yes | — |
| 337 | C2×C22⋊Q8 | C24 | 1 | 864 | yes | complemented |
| 338 | C2×C22⋊Q8 | C24 | 1 | 144 | yes | complemented |
| 339 | C2×C22⋊Q8 | C24 | 1 | 432 | yes | complemented |
| 340 | C2×C22⋊Q8 | C24 | 1 | 432 | yes | complemented |
| 341 | C2×C22⋊Q8 | C24 | 1 | 2304 | yes | complemented |
| 342 | C2×#121 | C24 | 1 | 144 | yes | — |
| 343 | C2×#121 | C24 | 1 | 432 | yes | complemented |
| 344 | C2×#121 | C24 | 1 | 864 | yes | complemented |
| 345 | C2×#121 | C24 | 1 | 1728 | yes | complemented |
| 346 | C2×#121 | C24 | 1 | 864 | yes | complemented |
| 347 | C2×#121 | C24 | 1 | 432 | yes | complemented |
| 348 | C2×#121 | C24 | 1 | 432 | yes | complemented |
| 349 | C2×#121 | C24 | 1 | 864 | yes | complemented |
| 350 | C2×#121 | C24 | 1 | 2304 | yes | complemented |
| 351 | C2×#121 | C24 | 1 | 4608 | yes | complemented |
| 352 | C2×#120 | C24 | 1 | 864 | yes | — |
| 353 | C2×#120 | C24 | 1 | 1728 | yes | complemented |
| 354 | C2×#120 | C24 | 1 | 864 | yes | complemented |
| 355 | C2×#120 | C24 | 1 | 4608 | yes | complemented |
| 356 | #520 | C24 | 1 | 1536 | yes | complemented |
| 357 | #518 | C24 | 1 | 2304 | yes | complemented |
| 358 | C4×#41 | C24 | 1 | 1536 | yes | complemented |
| 359 | C2×C4×Q8 | C24 | 1 | 48 | yes | complemented |
| 360 | C2×C4×Q8 | C24 | 1 | 144 | yes | complemented |
| 361 | C2×C4×D4 | C24 | 1 | 144 | yes | — |
| 362 | C2×C4×D4 | C24 | 1 | 432 | yes | — |
| 363 | C2×C4×D4 | C24 | 1 | 432 | yes | complemented |
| 364 | C2×C4×D4 | C24 | 1 | 864 | yes | complemented |
| 365 | C2×C4×D4 | C24 | 1 | 432 | yes | complemented |
| 366 | C2×C4×D4 | C24 | 1 | 432 | yes | complemented |
| 367 | C2×C4×D4 | C24 | 1 | 432 | yes | complemented |
| 368 | C2×C4×D4 | C24 | 1 | 864 | yes | complemented |
| 369 | C2×C4×D4 | C24 | 1 | 2304 | yes | complemented |
| 370 | C2×C4×D4 | C24 | 1 | 2304 | yes | complemented |
| 371 | C2×#117 | C24 | 1 | 432 | yes | complemented |
| 372 | C22×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 373 | C22×C4⋊C4 | C24 | 1 | 18 | yes | — |
| 374 | C22×C4⋊C4 | C24 | 1 | 36 | yes | — |
| 375 | C22×C4⋊C4 | C24 | 1 | 18 | yes | — |
| 376 | C22×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 377 | C22×C4⋊C4 | C24 | 1 | 216 | yes | complemented |
| 378 | C22×C4⋊C4 | C24 | 1 | 216 | yes | complemented |
| 379 | C22×C4⋊C4 | C24 | 1 | 432 | yes | complemented |
| 380 | C22×C22⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 381 | C22×C22⋊C4 | C24 | 1 | 9 | yes | — |
| 382 | C22×C22⋊C4 | C24 | 1 | 9 | yes | — |
| 383 | C22×C22⋊C4 | C24 | 1 | 9 | yes | — |
| 384 | C22×C22⋊C4 | C24 | 1 | 216 | yes | — |
| 385 | C22×C22⋊C4 | C24 | 1 | 36 | yes | — |
| 386 | C22×C22⋊C4 | C24 | 1 | 432 | yes | — |
| 387 | C22×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 388 | C22×C22⋊C4 | C24 | 1 | 36 | yes | — |
| 389 | C22×C22⋊C4 | C24 | 1 | 36 | yes | — |
| 390 | C22×C22⋊C4 | C24 | 1 | 18 | yes | — |
| 391 | C22×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 392 | C22×C22⋊C4 | C24 | 1 | 1536 | yes | complemented |
| 393 | C22×C22⋊C4 | C24 | 1 | 432 | yes | complemented |
| 394 | C22×C22⋊C4 | C24 | 1 | 432 | yes | complemented |
| 395 | C22×C22⋊C4 | C24 | 1 | 432 | yes | complemented |
| 396 | C22×C22⋊C4 | C24 | 1 | 216 | yes | complemented |
| 397 | C22×C22⋊C4 | C24 | 1 | 432 | yes | complemented |
| 398 | C22×C42 | C24 | 1 | 6 | yes | — |
| 399 | C22×C42 | C24 | 1 | 18 | yes | — |
| 400 | C22×C42 | C24 | 1 | 216 | yes | complemented |
| 401 | C25 | — | 2 | 72 | no | — |
| 402 | C25 | — | 2 | 72 | no | — |
| 403 | C25 | — | 2 | 72 | no | — |
| 404 | C25 | — | 2 | 1152 | no | — |
| 405 | C25 | — | 2 | 144 | no | — |
| 406 | C25 | — | 4 | 24 | no | — |
| 407 | C25 | — | 4 | 24 | no | — |
| 408 | C25 | — | 4 | 36 | no | — |
| 409 | C25 | — | 4 | 36 | no | — |
| 410 | C25 | — | 4 | 36 | no | — |
| 411 | C25 | — | 4 | 72 | no | — |
| 412 | C25 | — | 4 | 72 | no | — |
| 413 | C25 | — | 4 | 576 | no | — |
| 414 | C25 | — | 8 | 288 | no | — |
| 415 | C25 | — | 8 | 768 | no | — |
| 416 | C25 | C22×D4 | 1 | 96 | yes | — |
| 417 | C25 | C25 | 1 | 9 | yes | — |
| 418 | C25 | C25 | 1 | 6 | yes | — |
| 419 | C25 | C25 | 1 | 108 | yes | — |
| 420 | C25 | C25 | 1 | 9 | yes | — |
| 421 | C25 | C25 | 1 | 1 | yes | characteristic |
| 422 | C25 | C25 | 1 | 216 | yes | — |
| 423 | C25 | C25 | 1 | 108 | yes | — |
| 424 | C25 | C25 | 1 | 384 | yes | — |
| 425 | C25 | C25 | 1 | 72 | yes | — |
| 426 | 2−1+4 | — | 2 | 12288 | no | — |
| 427 | H(5,𝔽2) | — | 2 | 12288 | no | — |
| 428 | H(5,𝔽2) | — | 2 | 18432 | no | — |
| 429 | H(5,𝔽2) | — | 2 | 18432 | no | — |
| 430 | H(5,𝔽2) | C22×D4 | 1 | 4096 | yes | complemented |
| 431 | C2×#41 | — | 2 | 12288 | no | — |
| 432 | C2×#41 | — | 2 | 12288 | no | — |
| 433 | C2×#41 | — | 2 | 384 | no | — |
| 434 | C2×#41 | — | 2 | 1152 | no | — |
| 435 | C2×#41 | — | 2 | 3456 | no | — |
| 436 | C2×#41 | — | 2 | 3456 | no | — |
| 437 | C2×#41 | — | 2 | 6912 | no | — |
| 438 | C2×#41 | — | 2 | 18432 | no | — |
| 439 | C2×#41 | — | 2 | 3456 | no | — |
| 440 | C2×#41 | — | 2 | 3456 | no | — |
| 441 | C2×#41 | C22×D4 | 1 | 2304 | yes | complemented |
| 442 | C2×#41 | C25 | 1 | 1152 | yes | — |
| 443 | C2×#41 | C25 | 1 | 1152 | yes | — |
| 444 | C2×#41 | C25 | 1 | 384 | yes | — |
| 445 | C2×#41 | C25 | 1 | 384 | yes | — |
| 446 | C2×#41 | C25 | 1 | 1152 | yes | complemented |
| 447 | C2×#41 | C25 | 1 | 1152 | yes | complemented |
| 448 | C2×#41 | C25 | 1 | 2304 | yes | complemented |
| 449 | C2×#41 | C25 | 1 | 128 | yes | complemented |
| 450 | C22×Q8 | — | 2 | 384 | no | — |
| 451 | C22×Q8 | — | 2 | 1152 | no | — |
| 452 | C22×Q8 | — | 2 | 144 | no | — |
| 453 | C22×Q8 | — | 2 | 48 | no | — |
| 454 | C22×Q8 | — | 2 | 1728 | no | — |
| 455 | C22×Q8 | C22×D4 | 1 | 32 | yes | — |
| 456 | C22×Q8 | C25 | 1 | 216 | yes | — |
| 457 | C22×Q8 | C25 | 1 | 72 | yes | — |
| 458 | C22×Q8 | C25 | 1 | 128 | yes | — |
| 459 | C22×Q8 | C25 | 1 | 24 | yes | — |
| 460 | C22×Q8 | C25 | 1 | 576 | yes | complemented |
| 461 | C22×Q8 | C25 | 1 | 384 | yes | complemented |
| 462 | C22×D4 | — | 2 | 288 | no | — |
| 463 | C22×D4 | — | 2 | 288 | no | — |
| 464 | C22×D4 | — | 2 | 3456 | no | — |
| 465 | C22×D4 | — | 2 | 3456 | no | — |
| 466 | C22×D4 | — | 2 | 48 | no | — |
| 467 | C22×D4 | — | 2 | 3456 | no | — |
| 468 | C22×D4 | — | 2 | 6912 | no | — |
| 469 | C22×D4 | — | 2 | 3456 | no | — |
| 470 | C22×D4 | — | 2 | 18432 | no | — |
| 471 | C22×D4 | — | 2 | 144 | no | — |
| 472 | C22×D4 | — | 2 | 48 | no | — |
| 473 | C22×D4 | — | 2 | 1728 | no | — |
| 474 | C22×D4 | — | 4 | 72 | no | — |
| 475 | C22×D4 | — | 4 | 144 | no | — |
| 476 | C22×D4 | — | 4 | 864 | no | — |
| 477 | C22×D4 | — | 8 | 864 | no | — |
| 478 | C22×D4 | C22×D4 | 1 | 288 | yes | — |
| 479 | C22×D4 | C22×D4 | 1 | 3456 | yes | complemented |
| 480 | C22×D4 | C25 | 1 | 72 | yes | — |
| 481 | C22×D4 | C25 | 1 | 432 | yes | — |
| 482 | C22×D4 | C25 | 1 | 432 | yes | — |
| 483 | C22×D4 | C25 | 1 | 72 | yes | — |
| 484 | C22×D4 | C25 | 1 | 216 | yes | — |
| 485 | C22×D4 | C25 | 1 | 1152 | yes | — |
| 486 | C22×D4 | C25 | 1 | 576 | yes | — |
| 487 | C22×D4 | C25 | 1 | 1152 | yes | — |
| 488 | C22×D4 | C25 | 1 | 2304 | yes | — |
| 489 | C22×D4 | C25 | 1 | 216 | yes | — |
| 490 | C22×D4 | C25 | 1 | 576 | yes | — |
| 491 | C22×D4 | C25 | 1 | 432 | yes | — |
| 492 | C22×D4 | C25 | 1 | 216 | yes | — |
| 493 | C22×D4 | C25 | 1 | 576 | yes | — |
| 494 | C22×D4 | C25 | 1 | 1152 | yes | complemented |
| 495 | C22×D4 | C25 | 1 | 1152 | yes | complemented |
| 496 | C22×D4 | C25 | 1 | 1152 | yes | complemented |
| 497 | C23×C4 | — | 2 | 72 | no | — |
| 498 | C23×C4 | — | 2 | 72 | no | — |
| 499 | C23×C4 | — | 2 | 144 | no | — |
| 500 | C23×C4 | — | 2 | 1152 | no | — |
| 501 | C23×C4 | — | 2 | 48 | no | — |
| 502 | C23×C4 | — | 2 | 48 | no | — |
| 503 | C23×C4 | — | 2 | 144 | no | — |
| 504 | C23×C4 | — | 2 | 1728 | no | — |
| 505 | C23×C4 | — | 2 | 144 | no | — |
| 506 | C23×C4 | — | 2 | 1728 | no | — |
| 507 | C23×C4 | — | 4 | 36 | no | — |
| 508 | C23×C4 | — | 4 | 72 | no | — |
| 509 | C23×C4 | — | 4 | 36 | no | — |
| 510 | C23×C4 | — | 8 | 288 | no | — |
| 511 | C23×C4 | C22×D4 | 1 | 144 | yes | — |
| 512 | C23×C4 | C25 | 1 | 108 | yes | — |
| 513 | C23×C4 | C25 | 1 | 216 | yes | — |
| 514 | C23×C4 | C25 | 1 | 108 | yes | — |
| 515 | C23×C4 | C25 | 1 | 72 | yes | — |
| 516 | C23×C4 | C25 | 1 | 72 | yes | — |
| 517 | C23×C4 | C25 | 1 | 216 | yes | — |
| 518 | C23×C4 | C25 | 1 | 216 | yes | — |
| 519 | C23×C4 | C25 | 1 | 576 | yes | — |
| 520 | C23×C4 | C25 | 1 | 1 | yes | characteristic |
| 521 | C23×C4 | C25 | 1 | 6 | yes | — |
| 522 | C23×C4 | C25 | 1 | 9 | yes | — |
| 523 | C23×C4 | C25 | 1 | 1 | yes | characteristic |
| 524 | C23×C4 | C25 | 1 | 9 | yes | — |
| 525 | C23×C4 | C25 | 1 | 6 | yes | — |
| 526 | C23×C4 | C25 | 1 | 108 | yes | — |
| 527 | C23×C4 | C25 | 1 | 216 | yes | — |
| 528 | C23×C4 | C25 | 1 | 108 | yes | — |
| 529 | C23×C4 | C25 | 1 | 108 | yes | — |
| 530 | C23×C4 | C25 | 1 | 6 | yes | — |
| 531 | C23×C4 | C25 | 1 | 384 | yes | complemented |
| 532 | C23×C4 | C25 | 1 | 576 | yes | complemented |
| 533 | C23×C4 | C25 | 1 | 384 | yes | complemented |
| 534 | C4⋊Q8 | C25 | 1 | 1152 | yes | complemented |
| 535 | #127 | C25 | 1 | 1152 | yes | complemented |
| 536 | #124 | C25 | 1 | 1152 | yes | complemented |
| 537 | #124 | C25 | 1 | 2304 | yes | complemented |
| 538 | #124 | C25 | 1 | 384 | yes | complemented |
| 539 | #123 | C25 | 1 | 2304 | yes | complemented |
| 540 | #123 | C25 | 1 | 4608 | yes | complemented |
| 541 | #123 | C25 | 1 | 2304 | yes | complemented |
| 542 | C22⋊Q8 | C25 | 1 | 1152 | yes | — |
| 543 | C22⋊Q8 | C25 | 1 | 2304 | yes | complemented |
| 544 | C22⋊Q8 | C25 | 1 | 384 | yes | complemented |
| 545 | C22⋊Q8 | C25 | 1 | 1152 | yes | complemented |
| 546 | C22⋊Q8 | C25 | 1 | 1152 | yes | complemented |
| 547 | #121 | C25 | 1 | 384 | yes | — |
| 548 | #121 | C25 | 1 | 1152 | yes | complemented |
| 549 | #121 | C25 | 1 | 2304 | yes | complemented |
| 550 | #121 | C25 | 1 | 4608 | yes | complemented |
| 551 | #121 | C25 | 1 | 2304 | yes | complemented |
| 552 | #121 | C25 | 1 | 1152 | yes | complemented |
| 553 | #121 | C25 | 1 | 1152 | yes | complemented |
| 554 | #121 | C25 | 1 | 2304 | yes | complemented |
| 555 | #120 | C25 | 1 | 2304 | yes | — |
| 556 | #120 | C25 | 1 | 4608 | yes | complemented |
| 557 | #120 | C25 | 1 | 2304 | yes | complemented |
| 558 | C4×Q8 | C25 | 1 | 128 | yes | complemented |
| 559 | C4×Q8 | C25 | 1 | 384 | yes | complemented |
| 560 | C4×D4 | C25 | 1 | 384 | yes | — |
| 561 | C4×D4 | C25 | 1 | 1152 | yes | — |
| 562 | C4×D4 | C25 | 1 | 1152 | yes | complemented |
| 563 | C4×D4 | C25 | 1 | 2304 | yes | complemented |
| 564 | C4×D4 | C25 | 1 | 1152 | yes | complemented |
| 565 | C4×D4 | C25 | 1 | 1152 | yes | complemented |
| 566 | C4×D4 | C25 | 1 | 1152 | yes | complemented |
| 567 | C4×D4 | C25 | 1 | 2304 | yes | complemented |
| 568 | #117 | C25 | 1 | 1152 | yes | complemented |
| 569 | C2×C4⋊C4 | C25 | 1 | 72 | yes | — |
| 570 | C2×C4⋊C4 | C25 | 1 | 216 | yes | — |
| 571 | C2×C4⋊C4 | C25 | 1 | 432 | yes | — |
| 572 | C2×C4⋊C4 | C25 | 1 | 216 | yes | — |
| 573 | C2×C4⋊C4 | C25 | 1 | 72 | yes | — |
| 574 | C2×C4⋊C4 | C25 | 1 | 576 | yes | complemented |
| 575 | C2×C4⋊C4 | C25 | 1 | 576 | yes | complemented |
| 576 | C2×C4⋊C4 | C25 | 1 | 1152 | yes | complemented |
| 577 | C2×C22⋊C4 | C25 | 1 | 12 | yes | — |
| 578 | C2×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 579 | C2×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 580 | C2×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 581 | C2×C22⋊C4 | C25 | 1 | 576 | yes | — |
| 582 | C2×C22⋊C4 | C25 | 1 | 432 | yes | — |
| 583 | C2×C22⋊C4 | C25 | 1 | 1152 | yes | — |
| 584 | C2×C22⋊C4 | C25 | 1 | 72 | yes | — |
| 585 | C2×C22⋊C4 | C25 | 1 | 432 | yes | — |
| 586 | C2×C22⋊C4 | C25 | 1 | 432 | yes | — |
| 587 | C2×C22⋊C4 | C25 | 1 | 216 | yes | — |
| 588 | C2×C22⋊C4 | C25 | 1 | 144 | yes | — |
| 589 | C2×C22⋊C4 | C25 | 1 | 1152 | yes | complemented |
| 590 | C2×C22⋊C4 | C25 | 1 | 1152 | yes | complemented |
| 591 | C2×C22⋊C4 | C25 | 1 | 1152 | yes | complemented |
| 592 | C2×C22⋊C4 | C25 | 1 | 576 | yes | complemented |
| 593 | C2×C22⋊C4 | C25 | 1 | 1152 | yes | complemented |
| 594 | C2×C42 | C25 | 1 | 216 | yes | — |
| 595 | C2×C42 | C25 | 1 | 72 | yes | — |
| 596 | C2×C42 | C25 | 1 | 576 | yes | complemented |
| 597 | C24 | — | 2 | 4 | no | — |
| 598 | C24 | — | 2 | 36 | no | — |
| 599 | C24 | — | 2 | 36 | no | — |
| 600 | C24 | — | 2 | 4 | no | — |
| 601 | C24 | — | 2 | 24 | no | — |
| 602 | C24 | — | 2 | 432 | no | — |
| 603 | C24 | — | 2 | 36 | no | — |
| 604 | C24 | — | 2 | 24 | no | — |
| 605 | C24 | — | 2 | 36 | no | — |
| 606 | C24 | — | 2 | 432 | no | — |
| 607 | C24 | — | 2 | 24 | no | — |
| 608 | C24 | — | 2 | 36 | no | — |
| 609 | C24 | — | 2 | 432 | no | — |
| 610 | C24 | — | 2 | 1536 | no | — |
| 611 | C24 | — | 2 | 864 | no | — |
| 612 | C24 | — | 4 | 144 | no | — |
| 613 | C24 | — | 4 | 144 | no | — |
| 614 | C24 | — | 4 | 216 | no | — |
| 615 | C24 | — | 4 | 384 | no | — |
| 616 | C24 | — | 4 | 216 | no | — |
| 617 | C24 | — | 4 | 216 | no | — |
| 618 | C24 | — | 4 | 432 | no | — |
| 619 | C24 | — | 4 | 432 | no | — |
| 620 | C24 | — | 4 | 768 | no | — |
| 621 | C24 | — | 4 | 576 | no | — |
| 622 | C24 | — | 8 | 288 | no | — |
| 623 | C24 | — | 8 | 576 | no | — |
| 624 | C24 | — | 8 | 384 | no | — |
| 625 | C24 | — | 8 | 4608 | no | — |
| 626 | C24 | C23×D4 | 1 | 72 | yes | — |
| 627 | C24 | C23×D4 | 1 | 576 | yes | — |
| 628 | C24 | #585 | 1 | 8 | yes | complemented |
| 629 | C24 | C26 | 1 | 54 | yes | — |
| 630 | C24 | C26 | 1 | 36 | yes | — |
| 631 | C24 | C26 | 1 | 144 | yes | — |
| 632 | C24 | C26 | 1 | 54 | yes | — |
| 633 | C24 | C26 | 1 | 6 | yes | — |
| 634 | C24 | C26 | 1 | 288 | yes | — |
| 635 | C24 | C26 | 1 | 144 | yes | — |
| 636 | C24 | C26 | 1 | 96 | yes | — |
| 637 | C24 | C26 | 1 | 1 | yes | characteristic |
| 638 | #41 | — | 2 | 512 | no | — |
| 639 | #41 | — | 2 | 1536 | no | — |
| 640 | #41 | — | 2 | 4608 | no | — |
| 641 | #41 | — | 2 | 4608 | no | — |
| 642 | #41 | — | 2 | 9216 | no | — |
| 643 | #41 | — | 2 | 4608 | no | — |
| 644 | #41 | — | 2 | 4608 | no | — |
| 645 | #41 | C23×D4 | 1 | 3072 | yes | complemented |
| 646 | C2×Q8 | — | 2 | 512 | no | — |
| 647 | C2×Q8 | — | 2 | 1536 | no | — |
| 648 | C2×Q8 | — | 2 | 864 | no | — |
| 649 | C2×Q8 | — | 2 | 288 | no | — |
| 650 | C2×Q8 | — | 2 | 2304 | no | — |
| 651 | C2×Q8 | C23×D4 | 1 | 192 | yes | — |
| 652 | C2×Q8 | C26 | 1 | 288 | yes | — |
| 653 | C2×Q8 | C26 | 1 | 96 | yes | — |
| 654 | C2×Q8 | C26 | 1 | 32 | yes | — |
| 655 | C2×D4 | — | 2 | 1728 | no | — |
| 656 | C2×D4 | — | 2 | 1728 | no | — |
| 657 | C2×D4 | — | 2 | 4608 | no | — |
| 658 | C2×D4 | — | 2 | 4608 | no | — |
| 659 | C2×D4 | — | 2 | 288 | no | — |
| 660 | C2×D4 | — | 2 | 4608 | no | — |
| 661 | C2×D4 | — | 2 | 9216 | no | — |
| 662 | C2×D4 | — | 2 | 4608 | no | — |
| 663 | C2×D4 | — | 2 | 864 | no | — |
| 664 | C2×D4 | — | 2 | 288 | no | — |
| 665 | C2×D4 | — | 2 | 2304 | no | — |
| 666 | C2×D4 | — | 4 | 432 | no | — |
| 667 | C2×D4 | — | 4 | 864 | no | — |
| 668 | C2×D4 | — | 4 | 1152 | no | — |
| 669 | C2×D4 | — | 8 | 1152 | no | — |
| 670 | C2×D4 | C23×D4 | 1 | 1728 | yes | — |
| 671 | C2×D4 | C23×D4 | 1 | 4608 | yes | complemented |
| 672 | C2×D4 | C26 | 1 | 96 | yes | — |
| 673 | C2×D4 | C26 | 1 | 576 | yes | — |
| 674 | C2×D4 | C26 | 1 | 576 | yes | — |
| 675 | C2×D4 | C26 | 1 | 96 | yes | — |
| 676 | C2×D4 | C26 | 1 | 288 | yes | — |
| 677 | C2×D4 | C26 | 1 | 288 | yes | — |
| 678 | C2×D4 | C26 | 1 | 576 | yes | — |
| 679 | C2×D4 | C26 | 1 | 288 | yes | — |
| 680 | C22×C4 | — | 2 | 4 | no | — |
| 681 | C22×C4 | — | 2 | 24 | no | — |
| 682 | C22×C4 | — | 2 | 36 | no | — |
| 683 | C22×C4 | — | 2 | 432 | no | — |
| 684 | C22×C4 | — | 2 | 432 | no | — |
| 685 | C22×C4 | — | 2 | 864 | no | — |
| 686 | C22×C4 | — | 2 | 1536 | no | — |
| 687 | C22×C4 | — | 2 | 24 | no | — |
| 688 | C22×C4 | — | 2 | 4 | no | — |
| 689 | C22×C4 | — | 2 | 36 | no | — |
| 690 | C22×C4 | — | 2 | 288 | no | — |
| 691 | C22×C4 | — | 2 | 288 | no | — |
| 692 | C22×C4 | — | 2 | 864 | no | — |
| 693 | C22×C4 | — | 2 | 2304 | no | — |
| 694 | C22×C4 | — | 2 | 864 | no | — |
| 695 | C22×C4 | — | 2 | 2304 | no | — |
| 696 | C22×C4 | — | 4 | 216 | no | — |
| 697 | C22×C4 | — | 4 | 432 | no | — |
| 698 | C22×C4 | — | 4 | 216 | no | — |
| 699 | C22×C4 | — | 8 | 384 | no | — |
| 700 | C22×C4 | C23×D4 | 1 | 48 | yes | — |
| 701 | C22×C4 | C23×D4 | 1 | 864 | yes | — |
| 702 | C22×C4 | C26 | 1 | 6 | yes | — |
| 703 | C22×C4 | C26 | 1 | 36 | yes | — |
| 704 | C22×C4 | C26 | 1 | 54 | yes | — |
| 705 | C22×C4 | C26 | 1 | 6 | yes | — |
| 706 | C22×C4 | C26 | 1 | 54 | yes | — |
| 707 | C22×C4 | C26 | 1 | 36 | yes | — |
| 708 | C22×C4 | C26 | 1 | 144 | yes | — |
| 709 | C22×C4 | C26 | 1 | 288 | yes | — |
| 710 | C22×C4 | C26 | 1 | 144 | yes | — |
| 711 | C22×C4 | C26 | 1 | 96 | yes | — |
| 712 | C22×C4 | C26 | 1 | 96 | yes | — |
| 713 | C22×C4 | C26 | 1 | 288 | yes | — |
| 714 | C22×C4 | C26 | 1 | 288 | yes | — |
| 715 | C22×C4 | C26 | 1 | 144 | yes | — |
| 716 | C22×C4 | C26 | 1 | 144 | yes | — |
| 717 | C22×C4 | C26 | 1 | 288 | yes | — |
| 718 | C22×C4 | C26 | 1 | 36 | yes | — |
| 719 | C22×C4 | C26 | 1 | 144 | yes | — |
| 720 | C4⋊C4 | C26 | 1 | 96 | yes | — |
| 721 | C4⋊C4 | C26 | 1 | 288 | yes | — |
| 722 | C4⋊C4 | C26 | 1 | 576 | yes | — |
| 723 | C4⋊C4 | C26 | 1 | 288 | yes | — |
| 724 | C4⋊C4 | C26 | 1 | 96 | yes | — |
| 725 | C22⋊C4 | C26 | 1 | 16 | yes | — |
| 726 | C22⋊C4 | C26 | 1 | 144 | yes | — |
| 727 | C22⋊C4 | C26 | 1 | 144 | yes | — |
| 728 | C22⋊C4 | C26 | 1 | 144 | yes | — |
| 729 | C22⋊C4 | C26 | 1 | 576 | yes | — |
| 730 | C22⋊C4 | C26 | 1 | 96 | yes | — |
| 731 | C22⋊C4 | C26 | 1 | 576 | yes | — |
| 732 | C22⋊C4 | C26 | 1 | 576 | yes | — |
| 733 | C22⋊C4 | C26 | 1 | 288 | yes | — |
| 734 | C22⋊C4 | C26 | 1 | 192 | yes | — |
| 735 | C42 | C26 | 1 | 96 | yes | — |
| 736 | C42 | C26 | 1 | 288 | yes | — |
| 737 | C23 | — | 2 | 32 | no | — |
| 738 | C23 | — | 2 | 288 | no | — |
| 739 | C23 | — | 2 | 12 | no | — |
| 740 | C23 | — | 2 | 108 | no | — |
| 741 | C23 | — | 2 | 108 | no | — |
| 742 | C23 | — | 2 | 12 | no | — |
| 743 | C23 | — | 2 | 72 | no | — |
| 744 | C23 | — | 2 | 288 | no | — |
| 745 | C23 | — | 2 | 108 | no | — |
| 746 | C23 | — | 2 | 72 | no | — |
| 747 | C23 | — | 2 | 108 | no | — |
| 748 | C23 | — | 2 | 288 | no | — |
| 749 | C23 | — | 2 | 72 | no | — |
| 750 | C23 | — | 2 | 108 | no | — |
| 751 | C23 | — | 2 | 288 | no | — |
| 752 | C23 | — | 2 | 576 | no | — |
| 753 | C23 | — | 4 | 96 | no | — |
| 754 | C23 | — | 4 | 96 | no | — |
| 755 | C23 | — | 4 | 144 | no | — |
| 756 | C23 | — | 4 | 1152 | no | — |
| 757 | C23 | — | 4 | 144 | no | — |
| 758 | C23 | — | 4 | 144 | no | — |
| 759 | C23 | — | 4 | 288 | no | — |
| 760 | C23 | — | 4 | 288 | no | — |
| 761 | C23 | — | 4 | 1728 | no | — |
| 762 | C23 | — | 4 | 144 | no | — |
| 763 | C23 | — | 4 | 96 | no | — |
| 764 | C23 | — | 8 | 864 | no | — |
| 765 | C23 | — | 8 | 1728 | no | — |
| 766 | C23 | — | 8 | 3072 | no | — |
| 767 | C23 | C24×D4 | 1 | 216 | yes | — |
| 768 | C23 | C24×D4 | 1 | 384 | yes | — |
| 769 | C23 | C24×D4 | 1 | 4 | yes | — |
| 770 | C23 | C2×#585 | 1 | 4 | yes | — |
| 771 | C23 | C2×#585 | 1 | 24 | yes | complemented |
| 772 | C23 | H(7,𝔽2) | 1 | 4 | yes | — |
| 773 | C23 | C27 | 1 | 36 | yes | — |
| 774 | C23 | C27 | 1 | 24 | yes | — |
| 775 | C23 | C27 | 1 | 36 | yes | — |
| 776 | C23 | C27 | 1 | 4 | yes | — |
| 777 | C23 | C27 | 1 | 3 | yes | — |
| 778 | Q8 | — | 2 | 576 | no | — |
| 779 | Q8 | — | 2 | 192 | no | — |
| 780 | Q8 | C24×D4 | 1 | 128 | yes | — |
| 781 | D4 | — | 2 | 1152 | no | — |
| 782 | D4 | — | 2 | 1152 | no | — |
| 783 | D4 | — | 2 | 192 | no | — |
| 784 | D4 | — | 2 | 576 | no | — |
| 785 | D4 | — | 2 | 192 | no | — |
| 786 | D4 | — | 4 | 288 | no | — |
| 787 | D4 | — | 4 | 576 | no | — |
| 788 | D4 | C24×D4 | 1 | 1152 | yes | — |
| 789 | C2×C4 | — | 2 | 12 | no | — |
| 790 | C2×C4 | — | 2 | 72 | no | — |
| 791 | C2×C4 | — | 2 | 108 | no | — |
| 792 | C2×C4 | — | 2 | 288 | no | — |
| 793 | C2×C4 | — | 2 | 288 | no | — |
| 794 | C2×C4 | — | 2 | 576 | no | — |
| 795 | C2×C4 | — | 2 | 72 | no | — |
| 796 | C2×C4 | — | 2 | 12 | no | — |
| 797 | C2×C4 | — | 2 | 108 | no | — |
| 798 | C2×C4 | — | 2 | 192 | no | — |
| 799 | C2×C4 | — | 2 | 192 | no | — |
| 800 | C2×C4 | — | 2 | 576 | no | — |
| 801 | C2×C4 | — | 2 | 576 | no | — |
| 802 | C2×C4 | — | 4 | 144 | no | — |
| 803 | C2×C4 | — | 4 | 288 | no | — |
| 804 | C2×C4 | — | 4 | 144 | no | — |
| 805 | C2×C4 | C24×D4 | 1 | 144 | yes | — |
| 806 | C2×C4 | C24×D4 | 1 | 576 | yes | — |
| 807 | C2×C4 | C27 | 1 | 4 | yes | — |
| 808 | C2×C4 | C27 | 1 | 24 | yes | — |
| 809 | C2×C4 | C27 | 1 | 36 | yes | — |
| 810 | C2×C4 | C27 | 1 | 4 | yes | — |
| 811 | C2×C4 | C27 | 1 | 36 | yes | — |
| 812 | C2×C4 | C27 | 1 | 24 | yes | — |
| 813 | C2×C4 | C27 | 1 | 24 | yes | — |
| 814 | C22 | — | 2 | 4 | no | — |
| 815 | C22 | — | 2 | 36 | no | — |
| 816 | C22 | — | 2 | 36 | no | — |
| 817 | C22 | — | 2 | 4 | no | — |
| 818 | C22 | — | 2 | 48 | no | — |
| 819 | C22 | — | 2 | 432 | no | — |
| 820 | C22 | — | 2 | 24 | no | — |
| 821 | C22 | — | 2 | 36 | no | — |
| 822 | C22 | — | 2 | 24 | no | — |
| 823 | C22 | — | 2 | 36 | no | — |
| 824 | C22 | — | 2 | 24 | no | — |
| 825 | C22 | — | 2 | 36 | no | — |
| 826 | C22 | — | 4 | 384 | no | — |
| 827 | C22 | — | 4 | 576 | no | — |
| 828 | C22 | — | 4 | 216 | no | — |
| 829 | C22 | — | 4 | 144 | no | — |
| 830 | C22 | — | 8 | 288 | no | — |
| 831 | C22 | — | 8 | 576 | no | — |
| 832 | C22 | #62987 | 1 | 16 | yes | direct product factor |
| 833 | C22 | C25×D4 | 1 | 72 | yes | — |
| 834 | C22 | C25×D4 | 1 | 6 | yes | — |
| 835 | C22 | C22×#585 | 1 | 6 | yes | — |
| 836 | C22 | C22×#585 | 1 | 8 | yes | complemented |
| 837 | C22 | C2×H(7,𝔽2) | 1 | 6 | yes | — |
| 838 | C22 | C28 | 1 | 1 | yes | characteristic |
| 839 | C4 | — | 2 | 4 | no | — |
| 840 | C4 | — | 2 | 24 | no | — |
| 841 | C4 | — | 2 | 36 | no | — |
| 842 | C4 | — | 2 | 24 | no | — |
| 843 | C4 | — | 2 | 4 | no | — |
| 844 | C4 | — | 2 | 36 | no | — |
| 845 | C4 | C25×D4 | 1 | 48 | yes | — |
| 846 | C2 | — | 2 | 8 | no | — |
| 847 | C2 | — | 2 | 72 | no | — |
| 848 | C2 | — | 4 | 36 | no | — |
| 849 | C2 | — | 4 | 24 | no | — |
| 850 | C2 | C2×#62987 | 1 | 12 | yes | direct product factor |
| 851 | C2 | C26×D4 | 1 | 1 | yes | characteristic |
| 852 | C2 | C23×#585 | 1 | 1 | yes | characteristic |
| 853 | C2 | C22×H(7,𝔽2) | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 1. C23×#585 | C2 | semidirect |
| 2. C24×H(5,𝔽2) | C2 | semidirect |
| 3. C2×#62987 | C2 | direct (N × H) |
| 4. C22×#3500 | C2 | semidirect |
| 5. C22×#3489 | C2 | semidirect |
| 6. C22×#3488 | C2 | semidirect |
| 7. C22×#3485 | C2 | semidirect |
| 8. C22×#3496 | C2 | semidirect |
| 9. C22×#3484 | C2 | semidirect |
| 10. C22×D4×#41 | C2 | semidirect |
| 11. C23×#546 | C2 | semidirect |
| 12. C22×C4×H(5,𝔽2) | C2 | semidirect |
| 14. C22×#585 | C22 | semidirect |
| 15. C23×2−1+4 | C22 | semidirect |
| 18. C23×H(5,𝔽2) | C22 | semidirect |
| 19. C23×H(5,𝔽2) | C22 | semidirect |
| 20. C23×H(5,𝔽2) | C22 | semidirect |
| 21. C23×H(5,𝔽2) | C22 | semidirect |
| 22. C24×#41 | C22 | semidirect |
| 23. C24×#41 | C22 | semidirect |
| 24. C24×#41 | C22 | semidirect |
| 25. C25×D4 | C22 | semidirect |
| 26. #62987 | C22 | direct (N × H) |
| 27. C2×#3500 | C22 | semidirect |
| 28. C2×#3489 | C22 | semidirect |
| 29. C2×#3488 | C22 | semidirect |
| 30. C2×#3485 | C22 | semidirect |
| 31. C2×#3496 | C22 | semidirect |
| 32. C2×#3484 | C22 | semidirect |
| 33. C2×D4×#41 | C22 | semidirect |
| 34. C22×#550 | C22 | semidirect |
| 35. C22×#547 | C22 | semidirect |
| 36. C22×#547 | C22 | semidirect |
| 37. C22×#548 | C22 | semidirect |
| 38. C22×#548 | C22 | semidirect |
| 39. C22×#548 | C22 | semidirect |
| 40. C22×#546 | C22 | semidirect |
| 41. C22×#546 | C22 | semidirect |
| 42. C22×#546 | C22 | semidirect |
| 43. C22×#546 | C22 | semidirect |
| 44. C22×#546 | C22 | semidirect |
| 45. C22×#546 | C22 | semidirect |
| 46. C22×#546 | C22 | semidirect |
| 47. C22×D4×Q8 | C22 | semidirect |
| 48. C22×D42 | C22 | semidirect |
| 49. C22×D42 | C22 | semidirect |
| 50. C22×#536 | C22 | semidirect |
| 51. C22×#537 | C22 | semidirect |
| 52. C22×#535 | C22 | semidirect |
| 53. C22×#534 | C22 | semidirect |
| 54. C22×#532 | C22 | semidirect |
| 55. C23×#124 | C22 | semidirect |
| 56. C22×#525 | C22 | semidirect |
| 57. C22×#525 | C22 | semidirect |
| 58. C23×#123 | C22 | semidirect |
| 59. C23×C22⋊Q8 | C22 | semidirect |
| 60. C23×#121 | C22 | semidirect |
| 61. C23×#121 | C22 | semidirect |
| 62. C23×#120 | C22 | semidirect |
| 63. C2×C4×H(5,𝔽2) | C22 | semidirect |
| 64. C22×#520 | C22 | semidirect |
| 65. C22×#518 | C22 | semidirect |
| 66. C22×C4×#41 | C22 | semidirect |
| 67. C23×C4×D4 | C22 | semidirect |
| 68. C23×C4×D4 | C22 | semidirect |
| 69. C24×C22⋊C4 | C22 | semidirect |
| 72. C2×#585 | C23 | semidirect |
| 74. C22×2−1+4 | C23 | semidirect |
| 79. C22×H(5,𝔽2) | D4 | semidirect |
| 81. C22×H(5,𝔽2) | C23 | semidirect |
| 82. C22×H(5,𝔽2) | C23 | semidirect |
| 83. C22×H(5,𝔽2) | C23 | semidirect |
| 84. C22×H(5,𝔽2) | C23 | semidirect |
| 92. C23×#41 | C23 | semidirect |
| 93. C23×#41 | C23 | semidirect |
| 94. C23×#41 | C23 | semidirect |
| 95. C23×#41 | C23 | semidirect |
| 96. C23×#41 | C23 | semidirect |
| 97. C23×#41 | C23 | semidirect |
| 98. C23×#41 | C23 | semidirect |
| 100. C24×Q8 | C23 | semidirect |
| 101. C24×Q8 | C23 | semidirect |
| 109. C24×D4 | C23 | semidirect |
| 110. C24×D4 | C23 | semidirect |
| 111. C24×D4 | C23 | semidirect |
| 112. C24×D4 | C23 | semidirect |
| 114. C25×C4 | C23 | semidirect |
| 115. C25×C4 | C23 | semidirect |
| 116. C25×C4 | C23 | semidirect |
| 117. #3500 | C23 | semidirect |
| 118. #3496 | C23 | semidirect |
| 119. #3489 | C23 | semidirect |
| 120. #3488 | C23 | semidirect |
| 121. #3485 | C23 | semidirect |
| 122. #3484 | C23 | semidirect |
| 123. D4×#41 | C23 | semidirect |
| 124. C2×#550 | C23 | semidirect |
| 125. C2×D4×Q8 | C23 | semidirect |
| 126. C2×#548 | C23 | semidirect |
| 127. C2×#548 | C23 | semidirect |
| 128. C2×#548 | C23 | semidirect |
| 129. C2×#547 | C23 | semidirect |
| 130. C2×#547 | C23 | semidirect |
| 131. C2×#546 | C23 | semidirect |
| 132. C2×#546 | C23 | semidirect |
| 133. C2×#546 | C23 | semidirect |
| 134. C2×#546 | C23 | semidirect |
| 135. C2×#546 | C23 | semidirect |
| 136. C2×#546 | C23 | semidirect |
| 137. C2×#546 | C23 | semidirect |
| 138. C2×D42 | C23 | semidirect |
| 139. C2×D42 | C23 | semidirect |
| 140. C2×#537 | C23 | semidirect |
| 141. C2×#536 | C23 | semidirect |
| 142. C2×#535 | C23 | semidirect |
| 143. C2×#534 | C23 | semidirect |
| 144. C2×#532 | C23 | semidirect |
| 145. C22×C4⋊Q8 | C23 | semidirect |
| 146. C22×#127 | C23 | semidirect |
| 147. C22×#124 | C23 | semidirect |
| 148. C22×#124 | C23 | semidirect |
| 149. C22×#124 | C23 | semidirect |
| 150. C22×#124 | C23 | semidirect |
| 151. C2×#525 | C23 | semidirect |
| 152. C2×#525 | C23 | semidirect |
| 153. C22×#123 | C23 | semidirect |
| 154. C22×#123 | C23 | semidirect |
| 155. C22×#123 | C23 | semidirect |
| 156. C22×#123 | C23 | semidirect |
| 158. C22×C22⋊Q8 | C23 | semidirect |
| 159. C22×C22⋊Q8 | C23 | semidirect |
| 160. C22×C22⋊Q8 | C23 | semidirect |
| 161. C22×C22⋊Q8 | C23 | semidirect |
| 162. C22×C22⋊Q8 | C23 | semidirect |
| 164. C22×#121 | C23 | semidirect |
| 165. C22×#121 | C23 | semidirect |
| 166. C22×#121 | C23 | semidirect |
| 167. C22×#121 | C23 | semidirect |
| 168. C22×#121 | C23 | semidirect |
| 169. C22×#121 | C23 | semidirect |
| 170. C22×#121 | C23 | semidirect |
| 171. C22×#121 | C23 | semidirect |
| 172. C22×#121 | C23 | semidirect |
| 174. C22×#120 | C23 | semidirect |
| 175. C22×#120 | C23 | semidirect |
| 176. C22×#120 | C23 | semidirect |
| 177. C4×H(5,𝔽2) | C23 | semidirect |
| 178. C2×#520 | C23 | semidirect |
| 179. C2×#518 | C23 | semidirect |
| 180. C2×C4×#41 | C23 | semidirect |
| 181. C22×C4×Q8 | C23 | semidirect |
| 182. C22×C4×Q8 | C23 | semidirect |
| 185. C22×C4×D4 | C23 | semidirect |
| 186. C22×C4×D4 | C23 | semidirect |
| 187. C22×C4×D4 | C23 | semidirect |
| 188. C22×C4×D4 | C23 | semidirect |
| 189. C22×C4×D4 | C23 | semidirect |
| 190. C22×C4×D4 | C23 | semidirect |
| 191. C22×C4×D4 | C23 | semidirect |
| 192. C22×C4×D4 | C23 | semidirect |
| 193. C22×#117 | C23 | semidirect |
| 194. C23×C4⋊C4 | C23 | semidirect |
| 195. C23×C4⋊C4 | C23 | semidirect |
| 196. C23×C4⋊C4 | C23 | semidirect |
| 199. C23×C22⋊C4 | C23 | semidirect |
| 200. C23×C22⋊C4 | C23 | semidirect |
| 201. C23×C22⋊C4 | C23 | semidirect |
| 202. C23×C22⋊C4 | C23 | semidirect |
| 203. C23×C22⋊C4 | C23 | semidirect |
| 204. C23×C22⋊C4 | C23 | semidirect |
| 205. C23×C42 | C23 | semidirect |
| 216. C2×2−1+4 | C24 | semidirect |
| 221. C2×H(5,𝔽2) | C2×D4 | semidirect |
| 223. C2×H(5,𝔽2) | C24 | semidirect |
| 224. C2×H(5,𝔽2) | C24 | semidirect |
| 225. C2×H(5,𝔽2) | C24 | semidirect |
| 236. C22×#41 | C2×D4 | semidirect |
| 241. C22×#41 | C24 | semidirect |
| 242. C22×#41 | C24 | semidirect |
| 243. C22×#41 | C24 | semidirect |
| 244. C22×#41 | C24 | semidirect |
| 245. C22×#41 | C24 | semidirect |
| 246. C22×#41 | C24 | semidirect |
| 247. C22×#41 | C24 | semidirect |
| 255. C23×Q8 | C24 | semidirect |
| 256. C23×Q8 | C24 | semidirect |
| 266. C23×D4 | C2×D4 | semidirect |
| 281. C23×D4 | C24 | semidirect |
| 282. C23×D4 | C24 | semidirect |
| 283. C23×D4 | C24 | semidirect |
| 284. C23×D4 | C24 | semidirect |
| 301. C24×C4 | C24 | semidirect |
| 302. C24×C4 | C24 | semidirect |
| 303. C24×C4 | C24 | semidirect |
| 304. #550 | C24 | semidirect |
| 305. D4×Q8 | C24 | semidirect |
| 306. #548 | C24 | semidirect |
| 307. #548 | C24 | semidirect |
| 308. #548 | C24 | semidirect |
| 309. #547 | C24 | semidirect |
| 310. #547 | C24 | semidirect |
| 311. #546 | C24 | semidirect |
| 312. #546 | C24 | semidirect |
| 313. #546 | C24 | semidirect |
| 314. #546 | C24 | semidirect |
| 315. #546 | C24 | semidirect |
| 316. #546 | C24 | semidirect |
| 317. D42 | C24 | semidirect |
| 318. D42 | C24 | semidirect |
| 319. #537 | C24 | semidirect |
| 320. #536 | C24 | semidirect |
| 321. #535 | C24 | semidirect |
| 322. #534 | C24 | semidirect |
| 323. #532 | C24 | semidirect |
| 324. C2×C4⋊Q8 | C24 | semidirect |
| 325. C2×#127 | C24 | semidirect |
| 326. C2×#124 | C24 | semidirect |
| 327. C2×#124 | C24 | semidirect |
| 328. C2×#124 | C24 | semidirect |
| 329. C2×#124 | C24 | semidirect |
| 330. #525 | C24 | semidirect |
| 331. #525 | C24 | semidirect |
| 332. C2×#123 | C24 | semidirect |
| 333. C2×#123 | C24 | semidirect |
| 334. C2×#123 | C24 | semidirect |
| 335. C2×#123 | C24 | semidirect |
| 337. C2×C22⋊Q8 | C24 | semidirect |
| 338. C2×C22⋊Q8 | C24 | semidirect |
| 339. C2×C22⋊Q8 | C24 | semidirect |
| 340. C2×C22⋊Q8 | C24 | semidirect |
| 341. C2×C22⋊Q8 | C24 | semidirect |
| 343. C2×#121 | C24 | semidirect |
| 344. C2×#121 | C24 | semidirect |
| 345. C2×#121 | C24 | semidirect |
| 346. C2×#121 | C24 | semidirect |
| 347. C2×#121 | C24 | semidirect |
| 348. C2×#121 | C24 | semidirect |
| 349. C2×#121 | C24 | semidirect |
| 350. C2×#121 | C24 | semidirect |
| 351. C2×#121 | C24 | semidirect |
| 353. C2×#120 | C24 | semidirect |
| 354. C2×#120 | C24 | semidirect |
| 355. C2×#120 | C24 | semidirect |
| 356. #520 | C24 | semidirect |
| 357. #518 | C24 | semidirect |
| 358. C4×#41 | C24 | semidirect |
| 359. C2×C4×Q8 | C24 | semidirect |
| 360. C2×C4×Q8 | C24 | semidirect |
| 363. C2×C4×D4 | C24 | semidirect |
| 364. C2×C4×D4 | C24 | semidirect |
| 365. C2×C4×D4 | C24 | semidirect |
| 366. C2×C4×D4 | C24 | semidirect |
| 367. C2×C4×D4 | C24 | semidirect |
| 368. C2×C4×D4 | C24 | semidirect |
| 369. C2×C4×D4 | C24 | semidirect |
| 370. C2×C4×D4 | C24 | semidirect |
| 371. C2×#117 | C24 | semidirect |
| 377. C22×C4⋊C4 | C24 | semidirect |
| 378. C22×C4⋊C4 | C24 | semidirect |
| 379. C22×C4⋊C4 | C24 | semidirect |
| 392. C22×C22⋊C4 | C24 | semidirect |
| 393. C22×C22⋊C4 | C24 | semidirect |
| 394. C22×C22⋊C4 | C24 | semidirect |
| 395. C22×C22⋊C4 | C24 | semidirect |
| 396. C22×C22⋊C4 | C24 | semidirect |
| 397. C22×C22⋊C4 | C24 | semidirect |
| 400. C22×C42 | C24 | semidirect |
| 430. H(5,𝔽2) | C22×D4 | semidirect |
| 441. C2×#41 | C22×D4 | semidirect |
| 446. C2×#41 | C25 | semidirect |
| 447. C2×#41 | C25 | semidirect |
| 448. C2×#41 | C25 | semidirect |
| 449. C2×#41 | C25 | semidirect |
| 460. C22×Q8 | C25 | semidirect |
| 461. C22×Q8 | C25 | semidirect |
| 479. C22×D4 | C22×D4 | semidirect |
| 494. C22×D4 | C25 | semidirect |
| 495. C22×D4 | C25 | semidirect |
| 496. C22×D4 | C25 | semidirect |
| 531. C23×C4 | C25 | semidirect |
| 532. C23×C4 | C25 | semidirect |
| 533. C23×C4 | C25 | semidirect |
| 534. C4⋊Q8 | C25 | semidirect |
| 535. #127 | C25 | semidirect |
| 536. #124 | C25 | semidirect |
| 537. #124 | C25 | semidirect |
| 538. #124 | C25 | semidirect |
| 539. #123 | C25 | semidirect |
| 540. #123 | C25 | semidirect |
| 541. #123 | C25 | semidirect |
| 543. C22⋊Q8 | C25 | semidirect |
| 544. C22⋊Q8 | C25 | semidirect |
| 545. C22⋊Q8 | C25 | semidirect |
| 546. C22⋊Q8 | C25 | semidirect |
| 548. #121 | C25 | semidirect |
| 549. #121 | C25 | semidirect |
| 550. #121 | C25 | semidirect |
| 551. #121 | C25 | semidirect |
| 552. #121 | C25 | semidirect |
| 553. #121 | C25 | semidirect |
| 554. #121 | C25 | semidirect |
| 556. #120 | C25 | semidirect |
| 557. #120 | C25 | semidirect |
| 558. C4×Q8 | C25 | semidirect |
| 559. C4×Q8 | C25 | semidirect |
| 562. C4×D4 | C25 | semidirect |
| 563. C4×D4 | C25 | semidirect |
| 564. C4×D4 | C25 | semidirect |
| 565. C4×D4 | C25 | semidirect |
| 566. C4×D4 | C25 | semidirect |
| 567. C4×D4 | C25 | semidirect |
| 568. #117 | C25 | semidirect |
| 574. C2×C4⋊C4 | C25 | semidirect |
| 575. C2×C4⋊C4 | C25 | semidirect |
| 576. C2×C4⋊C4 | C25 | semidirect |
| 589. C2×C22⋊C4 | C25 | semidirect |
| 590. C2×C22⋊C4 | C25 | semidirect |
| 591. C2×C22⋊C4 | C25 | semidirect |
| 592. C2×C22⋊C4 | C25 | semidirect |
| 593. C2×C22⋊C4 | C25 | semidirect |
| 596. C2×C42 | C25 | semidirect |
| 628. C24 | #585 | semidirect |
| 645. #41 | C23×D4 | semidirect |
| 671. C2×D4 | C23×D4 | semidirect |
| 771. C23 | C2×#585 | semidirect |
| 832. C22 | #62987 | direct (N × H) |
| 836. C22 | C22×#585 | semidirect |
| 850. C2 | C2×#62987 | direct (N × H) |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta