Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
7738 conjugacy classes of subgroups.
The subgroup lattice has 1110 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3×#3496 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87285 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #86693 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #86686 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #86670 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #86649 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | #86625 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #86621 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #86381 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | D3×#537 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #86312 | C2 | 1 | 8 | yes | maximal, complemented |
| 12 | #86238 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #86225 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #85955 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #85949 | C2 | 1 | 4 | yes | maximal, complemented |
| 16 | C2×#5551 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #85777 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #62914 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C2×C3×H(5,𝔽2) | C22 | 1 | 2 | yes | complemented |
| 20 | C2×D3×#41 | C22 | 1 | 4 | yes | complemented |
| 21 | C2×#1004 | C22 | 1 | 4 | yes | complemented |
| 22 | C22×#235 | C22 | 1 | 2 | yes | complemented |
| 23 | C3×#547 | C22 | 1 | 4 | yes | complemented |
| 24 | C3×#546 | C22 | 1 | 8 | yes | complemented |
| 25 | C3×D42 | C22 | 1 | 4 | yes | complemented |
| 26 | C3×#537 | C22 | 1 | 2 | yes | complemented |
| 27 | C3×#534 | C22 | 1 | 4 | yes | complemented |
| 28 | C3×#532 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×C3×#121 | C22 | 1 | 4 | yes | complemented |
| 30 | C2×C3×C4×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #5834 | C22 | 1 | 8 | yes | complemented |
| 32 | #5833 | C22 | 1 | 4 | yes | complemented |
| 33 | #5833 | C22 | 1 | 8 | yes | complemented |
| 34 | #5831 | C22 | 1 | 8 | yes | complemented |
| 35 | #5828 | C22 | 1 | 4 | yes | complemented |
| 36 | #5828 | C22 | 1 | 8 | yes | complemented |
| 37 | #5827 | C22 | 1 | 4 | yes | complemented |
| 38 | #5806 | C22 | 1 | 16 | yes | complemented |
| 39 | #5806 | C22 | 1 | 8 | yes | complemented |
| 40 | #5806 | C22 | 1 | 8 | yes | complemented |
| 41 | #5805 | C22 | 1 | 2 | yes | complemented |
| 42 | #5805 | C22 | 1 | 4 | yes | complemented |
| 43 | #5805 | C22 | 1 | 8 | yes | complemented |
| 44 | D4×#67 | C22 | 1 | 16 | yes | complemented |
| 45 | D4×#67 | C22 | 1 | 8 | yes | complemented |
| 46 | C2×#938 | C22 | 1 | 2 | yes | complemented |
| 47 | C2×#938 | C22 | 1 | 8 | yes | complemented |
| 48 | #5791 | C22 | 1 | 4 | yes | complemented |
| 49 | C2×#924 | C22 | 1 | 2 | yes | complemented |
| 50 | #5728 | C22 | 1 | 4 | yes | complemented |
| 51 | #5727 | C22 | 1 | 2 | yes | complemented |
| 52 | #5726 | C22 | 1 | 2 | yes | complemented |
| 53 | #5718 | C22 | 1 | 2 | yes | complemented |
| 54 | #5717 | C22 | 1 | 2 | yes | complemented |
| 55 | #5716 | C22 | 1 | 4 | yes | complemented |
| 56 | #5682 | C22 | 1 | 8 | yes | complemented |
| 57 | #5677 | C22 | 1 | 4 | yes | complemented |
| 58 | #5676 | C22 | 1 | 4 | yes | complemented |
| 59 | #5667 | C22 | 1 | 16 | yes | complemented |
| 60 | #5663 | C22 | 1 | 16 | yes | complemented |
| 61 | #5660 | C22 | 1 | 16 | yes | complemented |
| 62 | #5659 | C22 | 1 | 16 | yes | complemented |
| 63 | #5639 | C22 | 1 | 8 | yes | complemented |
| 64 | #5635 | C22 | 1 | 8 | yes | complemented |
| 65 | #5629 | C22 | 1 | 8 | yes | complemented |
| 66 | D3×C22⋊Q8 | C22 | 1 | 8 | yes | complemented |
| 67 | #5621 | C22 | 1 | 16 | yes | complemented |
| 68 | #5618 | C22 | 1 | 8 | yes | complemented |
| 69 | #5614 | C22 | 1 | 8 | yes | complemented |
| 70 | #5612 | C22 | 1 | 8 | yes | complemented |
| 71 | #5611 | C22 | 1 | 8 | yes | complemented |
| 72 | #5611 | C22 | 1 | 4 | yes | complemented |
| 73 | #5610 | C22 | 1 | 8 | yes | complemented |
| 74 | #5609 | C22 | 1 | 4 | yes | complemented |
| 75 | #5608 | C22 | 1 | 8 | yes | complemented |
| 76 | #5608 | C22 | 1 | 8 | yes | complemented |
| 77 | #5608 | C22 | 1 | 8 | yes | complemented |
| 78 | #5607 | C22 | 1 | 8 | yes | complemented |
| 79 | #5606 | C22 | 1 | 8 | yes | complemented |
| 80 | D3×#121 | C22 | 1 | 8 | yes | complemented |
| 81 | D3×#121 | C22 | 1 | 8 | yes | complemented |
| 82 | #5603 | C22 | 1 | 8 | yes | complemented |
| 83 | #5602 | C22 | 1 | 8 | yes | complemented |
| 84 | #5599 | C22 | 1 | 8 | yes | complemented |
| 85 | #5598 | C22 | 1 | 8 | yes | complemented |
| 86 | #5597 | C22 | 1 | 8 | yes | complemented |
| 87 | #5595 | C22 | 1 | 16 | yes | complemented |
| 88 | #5593 | C22 | 1 | 16 | yes | complemented |
| 89 | #5591 | C22 | 1 | 16 | yes | complemented |
| 90 | #5589 | C22 | 1 | 16 | yes | complemented |
| 91 | #5563 | C22 | 1 | 4 | yes | complemented |
| 92 | #5562 | C22 | 1 | 4 | yes | complemented |
| 93 | #5561 | C22 | 1 | 4 | yes | complemented |
| 94 | #5557 | C22 | 1 | 4 | yes | complemented |
| 95 | #5555 | C22 | 1 | 4 | yes | complemented |
| 96 | #5551 | C22 | 1 | 4 | yes | complemented |
| 97 | #5551 | C22 | 1 | 4 | yes | complemented |
| 98 | #5551 | C22 | 1 | 8 | yes | complemented |
| 99 | #5548 | C22 | 1 | 4 | yes | complemented |
| 100 | #5548 | C22 | 1 | 4 | yes | complemented |
| 101 | #5547 | C22 | 1 | 8 | yes | complemented |
| 102 | C4×D3×D4 | C22 | 1 | 4 | yes | complemented |
| 103 | #5543 | C22 | 1 | 4 | yes | complemented |
| 104 | #5542 | C22 | 1 | 4 | yes | complemented |
| 105 | #5511 | C22 | 1 | 8 | yes | complemented |
| 106 | #5510 | C22 | 1 | 1 | yes | characteristic, complemented |
| 107 | #5510 | C22 | 1 | 4 | yes | complemented |
| 108 | #5504 | C22 | 1 | 4 | yes | complemented |
| 109 | C2×D3×C4⋊C4 | C22 | 1 | 2 | yes | complemented |
| 110 | #5500 | C22 | 1 | 1 | yes | characteristic, complemented |
| 111 | #5494 | C22 | 1 | 4 | yes | complemented |
| 112 | #5494 | C22 | 1 | 8 | yes | complemented |
| 113 | #5490 | C22 | 1 | 16 | yes | complemented |
| 114 | C2×#883 | C22 | 1 | 4 | yes | complemented |
| 115 | #5483 | C22 | 1 | 8 | yes | complemented |
| 116 | C4×#235 | C22 | 1 | 2 | yes | complemented |
| 117 | C2×C4×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 118 | C2×#869 | C22 | 1 | 1 | yes | characteristic, complemented |
| 119 | #3548 | — | 3 | 4 | no | — |
| 120 | #3546 | — | 3 | 4 | no | — |
| 121 | #3542 | — | 3 | 8 | no | — |
| 122 | #3536 | — | 3 | 8 | no | — |
| 123 | #3536 | — | 3 | 4 | no | — |
| 124 | #3534 | — | 3 | 8 | no | — |
| 125 | #3520 | — | 3 | 4 | no | — |
| 126 | #3511 | — | 3 | 2 | no | — |
| 127 | #3496 | — | 3 | 4 | no | — |
| 128 | #3496 | D3 | 1 | 1 | yes | characteristic, complemented |
| 129 | #3492 | — | 3 | 2 | no | — |
| 130 | #3488 | — | 3 | 4 | no | — |
| 131 | #3488 | — | 3 | 4 | no | — |
| 132 | D4×#41 | — | 3 | 2 | no | — |
| 133 | C2×#547 | — | 3 | 1 | no | — |
| 134 | #3460 | — | 3 | 1 | no | — |
| 135 | C2×#537 | — | 3 | 2 | no | — |
| 136 | C3×H(5,𝔽2) | — | 4 | 8 | no | — |
| 137 | C2×C3×#41 | C23 | 1 | 4 | yes | — |
| 138 | C2×C3×#41 | C23 | 1 | 8 | yes | — |
| 139 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 140 | C22×C3×D4 | C23 | 1 | 4 | yes | — |
| 141 | C22×C3×D4 | C23 | 1 | 8 | yes | — |
| 142 | C22×C3×D4 | C23 | 1 | 8 | yes | — |
| 143 | C23×C3×C4 | C23 | 1 | 2 | yes | — |
| 144 | C22×#67 | C23 | 1 | 4 | yes | — |
| 145 | C22×#67 | C23 | 1 | 16 | yes | — |
| 146 | D3×#41 | — | 4 | 16 | no | — |
| 147 | C2×#239 | C23 | 1 | 4 | yes | — |
| 148 | C2×D3×Q8 | C23 | 1 | 4 | yes | — |
| 149 | #1004 | — | 4 | 16 | no | — |
| 150 | C2×#237 | C23 | 1 | 4 | yes | — |
| 151 | C2×#237 | C23 | 1 | 8 | yes | — |
| 152 | C2×#237 | C23 | 1 | 8 | yes | — |
| 153 | C2×#237 | C23 | 1 | 8 | yes | — |
| 154 | C2×D3×D4 | C23 | 1 | 4 | yes | — |
| 155 | C2×D3×D4 | C23 | 1 | 4 | yes | — |
| 156 | C2×D3×D4 | C23 | 1 | 8 | yes | — |
| 157 | C2×D3×D4 | C23 | 1 | 8 | yes | — |
| 158 | C2×#235 | — | 4 | 8 | no | — |
| 159 | C2×#235 | C23 | 1 | 4 | yes | — |
| 160 | C2×#235 | C23 | 1 | 2 | yes | — |
| 161 | C2×#235 | C23 | 1 | 8 | yes | — |
| 162 | C2×#235 | C23 | 1 | 4 | yes | — |
| 163 | C2×#235 | C23 | 1 | 4 | yes | — |
| 164 | C2×#235 | C23 | 1 | 8 | yes | — |
| 165 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 166 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 167 | C22×C4×D3 | C23 | 1 | 4 | yes | — |
| 168 | C22×C4×D3 | C23 | 1 | 8 | yes | — |
| 169 | C22×Dic6 | C23 | 1 | 2 | yes | — |
| 170 | C3×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 171 | C3×#127 | C23 | 1 | 2 | yes | — |
| 172 | C3×#124 | C23 | 1 | 4 | yes | — |
| 173 | C3×#123 | C23 | 1 | 16 | yes | — |
| 174 | C3×C22⋊Q8 | C23 | 1 | 8 | yes | — |
| 175 | C3×#121 | C23 | 1 | 4 | yes | — |
| 176 | C3×#121 | C23 | 1 | 8 | yes | — |
| 177 | C3×#121 | C23 | 1 | 8 | yes | — |
| 178 | C3×#121 | C23 | 1 | 8 | yes | — |
| 179 | C3×#121 | C23 | 1 | 8 | yes | — |
| 180 | C3×#121 | C23 | 1 | 4 | yes | — |
| 181 | C3×#120 | C23 | 1 | 16 | yes | — |
| 182 | C3×C4×D4 | C23 | 1 | 4 | yes | — |
| 183 | C3×C4×D4 | C23 | 1 | 4 | yes | — |
| 184 | C3×C4×D4 | C23 | 1 | 4 | yes | — |
| 185 | C3×C4×D4 | C23 | 1 | 4 | yes | — |
| 186 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 187 | C2×C3×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 188 | C2×C3×C22⋊C4 | C23 | 1 | 8 | yes | — |
| 189 | C2×C3×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 190 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 191 | #953 | C23 | 1 | 16 | yes | — |
| 192 | #953 | C23 | 1 | 8 | yes | — |
| 193 | #953 | C23 | 1 | 16 | yes | — |
| 194 | C2×#217 | C23 | 1 | 16 | yes | — |
| 195 | C2×#217 | C23 | 1 | 4 | yes | — |
| 196 | #946 | C23 | 1 | 4 | yes | — |
| 197 | #946 | C23 | 1 | 4 | yes | — |
| 198 | #946 | C23 | 1 | 8 | yes | — |
| 199 | Q8×Dic3 | C23 | 1 | 8 | yes | — |
| 200 | #940 | C23 | 1 | 16 | yes | — |
| 201 | #940 | C23 | 1 | 4 | yes | — |
| 202 | #940 | C23 | 1 | 4 | yes | — |
| 203 | #939 | C23 | 1 | 16 | yes | — |
| 204 | #939 | C23 | 1 | 16 | yes | — |
| 205 | #939 | C23 | 1 | 8 | yes | — |
| 206 | #939 | C23 | 1 | 16 | yes | — |
| 207 | #939 | C23 | 1 | 16 | yes | — |
| 208 | #938 | C23 | 1 | 16 | yes | — |
| 209 | #938 | C23 | 1 | 16 | yes | — |
| 210 | #938 | C23 | 1 | 4 | yes | — |
| 211 | #938 | C23 | 1 | 4 | yes | — |
| 212 | #938 | C23 | 1 | 8 | yes | — |
| 213 | #938 | C23 | 1 | 8 | yes | — |
| 214 | #938 | C23 | 1 | 4 | yes | — |
| 215 | #938 | C23 | 1 | 8 | yes | — |
| 216 | #938 | C23 | 1 | 4 | yes | — |
| 217 | #938 | C23 | 1 | 8 | yes | — |
| 218 | #938 | C23 | 1 | 4 | yes | — |
| 219 | #938 | C23 | 1 | 8 | yes | — |
| 220 | #938 | C23 | 1 | 8 | yes | — |
| 221 | #937 | C23 | 1 | 16 | yes | — |
| 222 | #937 | C23 | 1 | 8 | yes | — |
| 223 | #937 | C23 | 1 | 8 | yes | — |
| 224 | #936 | C23 | 1 | 16 | yes | — |
| 225 | #936 | C23 | 1 | 8 | yes | — |
| 226 | #936 | C23 | 1 | 4 | yes | — |
| 227 | #935 | C23 | 1 | 16 | yes | — |
| 228 | #935 | C23 | 1 | 8 | yes | — |
| 229 | #935 | C23 | 1 | 16 | yes | — |
| 230 | D4×Dic3 | C23 | 1 | 8 | yes | — |
| 231 | D4×Dic3 | C23 | 1 | 8 | yes | — |
| 232 | D4×Dic3 | C23 | 1 | 4 | yes | — |
| 233 | D4×Dic3 | C23 | 1 | 16 | yes | — |
| 234 | #930 | C23 | 1 | 16 | yes | — |
| 235 | #930 | C23 | 1 | 4 | yes | — |
| 236 | #930 | C23 | 1 | 4 | yes | — |
| 237 | #930 | C23 | 1 | 8 | yes | — |
| 238 | #929 | C23 | 1 | 8 | yes | — |
| 239 | C4×#67 | C23 | 1 | 8 | yes | — |
| 240 | C4×#67 | C23 | 1 | 8 | yes | — |
| 241 | C4×#67 | C23 | 1 | 16 | yes | — |
| 242 | C4×#67 | C23 | 1 | 16 | yes | — |
| 243 | C4×#67 | C23 | 1 | 4 | yes | — |
| 244 | C4×#67 | C23 | 1 | 4 | yes | — |
| 245 | C4×#67 | C23 | 1 | 8 | yes | — |
| 246 | C2×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 247 | #926 | C23 | 1 | 8 | yes | — |
| 248 | #926 | C23 | 1 | 2 | yes | — |
| 249 | #926 | C23 | 1 | 4 | yes | — |
| 250 | C2×C4⋊Dic3 | C23 | 1 | 8 | yes | — |
| 251 | C2×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 252 | C2×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 253 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 254 | #924 | C23 | 1 | 16 | yes | — |
| 255 | #924 | C23 | 1 | 4 | yes | — |
| 256 | #924 | C23 | 1 | 8 | yes | — |
| 257 | #924 | C23 | 1 | 4 | yes | — |
| 258 | #924 | C23 | 1 | 8 | yes | — |
| 259 | #924 | C23 | 1 | 8 | yes | — |
| 260 | C2×Dic3⋊C4 | C23 | 1 | 4 | yes | — |
| 261 | #897 | C23 | 1 | 8 | yes | — |
| 262 | #897 | C23 | 1 | 8 | yes | — |
| 263 | #897 | C23 | 1 | 4 | yes | — |
| 264 | #896 | C23 | 1 | 8 | yes | — |
| 265 | #896 | C23 | 1 | 16 | yes | — |
| 266 | #895 | C23 | 1 | 8 | yes | — |
| 267 | #895 | C23 | 1 | 4 | yes | — |
| 268 | #895 | C23 | 1 | 4 | yes | — |
| 269 | #894 | C23 | 1 | 8 | yes | — |
| 270 | #893 | C23 | 1 | 4 | yes | — |
| 271 | #892 | C23 | 1 | 8 | yes | — |
| 272 | #892 | C23 | 1 | 8 | yes | — |
| 273 | D3×C4⋊C4 | C23 | 1 | 8 | yes | — |
| 274 | D3×C4⋊C4 | C23 | 1 | 8 | yes | — |
| 275 | D3×C4⋊C4 | C23 | 1 | 8 | yes | — |
| 276 | D3×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 277 | #890 | C23 | 1 | 4 | yes | — |
| 278 | #890 | C23 | 1 | 8 | yes | — |
| 279 | #889 | C23 | 1 | 16 | yes | — |
| 280 | #888 | C23 | 1 | 4 | yes | — |
| 281 | #888 | C23 | 1 | 4 | yes | — |
| 282 | #887 | C23 | 1 | 8 | yes | — |
| 283 | #886 | C23 | 1 | 16 | yes | — |
| 284 | #885 | C23 | 1 | 8 | yes | — |
| 285 | #885 | C23 | 1 | 8 | yes | — |
| 286 | #885 | C23 | 1 | 16 | yes | — |
| 287 | #884 | C23 | 1 | 8 | yes | — |
| 288 | #884 | C23 | 1 | 8 | yes | — |
| 289 | #884 | C23 | 1 | 16 | yes | — |
| 290 | #884 | C23 | 1 | 16 | yes | — |
| 291 | #884 | C23 | 1 | 8 | yes | — |
| 292 | #883 | C23 | 1 | 16 | yes | — |
| 293 | #883 | C23 | 1 | 8 | yes | — |
| 294 | #883 | C23 | 1 | 16 | yes | — |
| 295 | #883 | C23 | 1 | 16 | yes | — |
| 296 | #883 | C23 | 1 | 8 | yes | — |
| 297 | #882 | C23 | 1 | 8 | yes | — |
| 298 | #67⋊C4 | C23 | 1 | 16 | yes | — |
| 299 | #67⋊C4 | C23 | 1 | 8 | yes | — |
| 300 | D3×C22⋊C4 | C23 | 1 | 8 | yes | — |
| 301 | D3×C22⋊C4 | C23 | 1 | 16 | yes | — |
| 302 | #879 | C23 | 1 | 16 | yes | — |
| 303 | #879 | C23 | 1 | 16 | yes | — |
| 304 | #879 | C23 | 1 | 8 | yes | — |
| 305 | #878 | C23 | 1 | 16 | yes | — |
| 306 | #878 | C23 | 1 | 16 | yes | — |
| 307 | #878 | C23 | 1 | 8 | yes | — |
| 308 | #878 | C23 | 1 | 16 | yes | — |
| 309 | C4×D12 | C23 | 1 | 2 | yes | — |
| 310 | C4×D12 | C23 | 1 | 4 | yes | — |
| 311 | C4×D12 | C23 | 1 | 2 | yes | — |
| 312 | C4×D12 | C23 | 1 | 2 | yes | — |
| 313 | C4×D12 | C23 | 1 | 2 | yes | — |
| 314 | #872 | C23 | 1 | 4 | yes | — |
| 315 | C42×D3 | C23 | 1 | 4 | yes | — |
| 316 | #869 | C23 | 1 | 4 | yes | — |
| 317 | #869 | C23 | 1 | 4 | yes | — |
| 318 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 319 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 320 | C2×H(5,𝔽2) | — | 3 | 4 | no | — |
| 321 | C2×H(5,𝔽2) | C2×D3 | 1 | 2 | yes | complemented |
| 322 | C22×#41 | — | 3 | 4 | no | — |
| 323 | C22×#41 | — | 3 | 2 | no | — |
| 324 | #562 | — | 3 | 16 | no | — |
| 325 | #562 | — | 3 | 16 | no | — |
| 326 | #560 | — | 3 | 16 | no | — |
| 327 | #556 | — | 3 | 4 | no | — |
| 328 | #555 | — | 3 | 4 | no | — |
| 329 | #554 | — | 3 | 8 | no | — |
| 330 | #554 | — | 3 | 4 | no | — |
| 331 | #554 | — | 3 | 8 | no | — |
| 332 | #553 | — | 3 | 8 | no | — |
| 333 | #553 | — | 3 | 8 | no | — |
| 334 | #552 | — | 3 | 8 | no | — |
| 335 | #551 | — | 3 | 16 | no | — |
| 336 | #550 | — | 3 | 8 | no | — |
| 337 | #550 | — | 3 | 2 | no | — |
| 338 | #550 | — | 3 | 8 | no | — |
| 339 | D4×Q8 | — | 3 | 2 | no | — |
| 340 | #548 | — | 3 | 8 | no | — |
| 341 | #548 | — | 3 | 4 | no | — |
| 342 | #548 | — | 3 | 8 | no | — |
| 343 | #547 | — | 3 | 2 | no | — |
| 344 | #547 | — | 3 | 4 | no | — |
| 345 | #547 | — | 3 | 8 | no | — |
| 346 | #547 | — | 3 | 4 | no | — |
| 347 | #547 | — | 3 | 8 | no | — |
| 348 | #547 | — | 3 | 4 | no | — |
| 349 | #547 | — | 3 | 4 | no | — |
| 350 | #547 | C2×D3 | 1 | 4 | yes | complemented |
| 351 | #546 | — | 3 | 16 | no | — |
| 352 | #546 | — | 3 | 8 | no | — |
| 353 | #546 | — | 3 | 8 | no | — |
| 354 | #546 | — | 3 | 4 | no | — |
| 355 | #546 | — | 3 | 8 | no | — |
| 356 | #546 | — | 3 | 8 | no | — |
| 357 | #546 | — | 3 | 16 | no | — |
| 358 | #546 | — | 3 | 16 | no | — |
| 359 | #546 | C2×D3 | 1 | 8 | yes | complemented |
| 360 | D42 | — | 3 | 16 | no | — |
| 361 | D42 | — | 3 | 8 | no | — |
| 362 | D42 | — | 3 | 2 | no | — |
| 363 | D42 | — | 3 | 4 | no | — |
| 364 | D42 | C2×D3 | 1 | 4 | yes | complemented |
| 365 | #544 | — | 3 | 1 | no | — |
| 366 | #543 | — | 3 | 8 | no | — |
| 367 | #542 | — | 3 | 8 | no | — |
| 368 | #542 | — | 3 | 8 | no | — |
| 369 | #542 | — | 3 | 4 | no | — |
| 370 | #540 | — | 3 | 16 | no | — |
| 371 | #540 | — | 3 | 4 | no | — |
| 372 | #539 | — | 3 | 16 | no | — |
| 373 | #539 | — | 3 | 8 | no | — |
| 374 | #538 | — | 3 | 16 | no | — |
| 375 | #538 | — | 3 | 4 | no | — |
| 376 | #538 | — | 3 | 8 | no | — |
| 377 | #537 | — | 3 | 4 | no | — |
| 378 | #537 | — | 3 | 8 | no | — |
| 379 | #537 | — | 3 | 8 | no | — |
| 380 | #537 | — | 3 | 8 | no | — |
| 381 | #537 | — | 3 | 8 | no | — |
| 382 | #537 | — | 3 | 8 | no | — |
| 383 | #537 | — | 3 | 8 | no | — |
| 384 | #537 | — | 3 | 1 | no | — |
| 385 | #537 | — | 3 | 4 | no | — |
| 386 | #537 | C2×D3 | 1 | 2 | yes | complemented |
| 387 | #535 | — | 3 | 2 | no | — |
| 388 | #535 | — | 3 | 8 | no | — |
| 389 | #535 | — | 3 | 4 | no | — |
| 390 | #535 | — | 3 | 8 | no | — |
| 391 | #534 | — | 3 | 16 | no | — |
| 392 | #534 | C2×D3 | 1 | 4 | yes | complemented |
| 393 | #533 | — | 3 | 4 | no | — |
| 394 | #532 | — | 3 | 4 | no | — |
| 395 | #532 | — | 3 | 4 | no | — |
| 396 | #532 | — | 3 | 4 | no | — |
| 397 | #532 | C2×D3 | 1 | 2 | yes | complemented |
| 398 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 399 | #529 | — | 3 | 4 | no | — |
| 400 | #525 | — | 3 | 4 | no | — |
| 401 | #525 | — | 3 | 8 | no | — |
| 402 | #525 | — | 3 | 4 | no | — |
| 403 | #525 | — | 3 | 8 | no | — |
| 404 | #525 | — | 3 | 8 | no | — |
| 405 | C2×#123 | — | 3 | 4 | no | — |
| 406 | C2×C22⋊Q8 | — | 3 | 2 | no | — |
| 407 | C2×C22⋊Q8 | — | 3 | 8 | no | — |
| 408 | C2×#121 | — | 3 | 2 | no | — |
| 409 | C2×#121 | — | 3 | 8 | no | — |
| 410 | C2×#121 | — | 3 | 8 | no | — |
| 411 | C2×#121 | — | 3 | 8 | no | — |
| 412 | C2×#121 | C2×D3 | 1 | 4 | yes | complemented |
| 413 | #520 | — | 3 | 4 | no | — |
| 414 | #520 | — | 3 | 4 | no | — |
| 415 | C4×#41 | — | 3 | 2 | no | — |
| 416 | C2×C4×D4 | — | 3 | 4 | no | — |
| 417 | C2×C4×D4 | — | 3 | 1 | no | — |
| 418 | C2×C4×D4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 419 | C22×C4⋊C4 | — | 3 | 2 | no | — |
| 420 | C24×C3 | C24 | 1 | 2 | yes | — |
| 421 | C24×C3 | C24 | 1 | 8 | yes | — |
| 422 | C23×D3 | C24 | 1 | 2 | yes | — |
| 423 | C23×D3 | C24 | 1 | 8 | yes | — |
| 424 | C3×#41 | — | 2 | 16 | no | — |
| 425 | C3×#41 | — | 4 | 16 | no | — |
| 426 | C2×C3×Q8 | C24 | 1 | 4 | yes | — |
| 427 | C2×C3×D4 | — | 2 | 4 | no | — |
| 428 | C2×C3×D4 | — | 4 | 8 | no | — |
| 429 | C2×C3×D4 | — | 4 | 16 | no | — |
| 430 | C2×C3×D4 | — | 4 | 16 | no | — |
| 431 | C2×C3×D4 | C24 | 1 | 8 | yes | — |
| 432 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 433 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 434 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 435 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 436 | C2×C3×D4 | C24 | 1 | 8 | yes | — |
| 437 | C2×C3×D4 | C24 | 1 | 16 | yes | — |
| 438 | C22×C3×C4 | — | 4 | 4 | no | — |
| 439 | C22×C3×C4 | C24 | 1 | 4 | yes | — |
| 440 | C22×C3×C4 | C24 | 1 | 8 | yes | — |
| 441 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 442 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 443 | C22×C3×C4 | C24 | 1 | 4 | yes | — |
| 444 | C22×C3×C4 | C24 | 1 | 8 | yes | — |
| 445 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 446 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 447 | C2×#67 | — | 4 | 8 | no | — |
| 448 | C2×#67 | — | 4 | 32 | no | — |
| 449 | C2×#67 | C24 | 1 | 8 | yes | — |
| 450 | C2×#67 | C24 | 1 | 8 | yes | — |
| 451 | C2×#67 | C24 | 1 | 4 | yes | — |
| 452 | C2×#67 | C24 | 1 | 8 | yes | — |
| 453 | C2×#67 | C24 | 1 | 8 | yes | — |
| 454 | C2×#67 | C24 | 1 | 8 | yes | — |
| 455 | C2×#67 | C24 | 1 | 8 | yes | — |
| 456 | C2×#67 | C24 | 1 | 8 | yes | — |
| 457 | C2×#67 | C24 | 1 | 16 | yes | — |
| 458 | C2×#67 | C24 | 1 | 8 | yes | — |
| 459 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 460 | C22×Dic3 | C24 | 1 | 8 | yes | — |
| 461 | C22×Dic3 | C24 | 1 | 16 | yes | — |
| 462 | C22×Dic3 | C24 | 1 | 4 | yes | — |
| 463 | #239 | — | 4 | 8 | no | — |
| 464 | D3×Q8 | — | 4 | 8 | no | — |
| 465 | #237 | — | 4 | 16 | no | — |
| 466 | #237 | — | 4 | 8 | no | — |
| 467 | #237 | — | 4 | 16 | no | — |
| 468 | #237 | — | 4 | 16 | no | — |
| 469 | D3×D4 | — | 2 | 16 | no | — |
| 470 | D3×D4 | — | 4 | 8 | no | — |
| 471 | D3×D4 | — | 4 | 16 | no | — |
| 472 | D3×D4 | — | 4 | 16 | no | — |
| 473 | #235 | — | 2 | 8 | no | — |
| 474 | #235 | — | 2 | 16 | no | — |
| 475 | #235 | — | 4 | 8 | no | — |
| 476 | #235 | — | 4 | 8 | no | — |
| 477 | #235 | — | 4 | 16 | no | — |
| 478 | #235 | — | 4 | 16 | no | — |
| 479 | C2×D12 | — | 2 | 4 | no | — |
| 480 | C2×D12 | C24 | 1 | 2 | yes | — |
| 481 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 482 | C2×D12 | C24 | 1 | 2 | yes | — |
| 483 | C2×D12 | C24 | 1 | 8 | yes | — |
| 484 | C2×D12 | C24 | 1 | 4 | yes | — |
| 485 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 486 | C2×C4×D3 | — | 2 | 8 | no | — |
| 487 | C2×C4×D3 | — | 4 | 16 | no | — |
| 488 | C2×C4×D3 | — | 4 | 8 | no | — |
| 489 | C2×C4×D3 | C24 | 1 | 4 | yes | — |
| 490 | C2×C4×D3 | C24 | 1 | 4 | yes | — |
| 491 | C2×C4×D3 | C24 | 1 | 4 | yes | — |
| 492 | C2×C4×D3 | C24 | 1 | 4 | yes | — |
| 493 | C2×C4×D3 | C24 | 1 | 8 | yes | — |
| 494 | C2×C4×D3 | C24 | 1 | 4 | yes | — |
| 495 | C2×C4×D3 | C24 | 1 | 8 | yes | — |
| 496 | C2×C4×D3 | C24 | 1 | 8 | yes | — |
| 497 | C2×C4×D3 | C24 | 1 | 8 | yes | — |
| 498 | C2×Dic6 | — | 4 | 4 | no | — |
| 499 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 500 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 501 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 502 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 503 | C2×Dic6 | C24 | 1 | 8 | yes | — |
| 504 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 505 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 506 | C3×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 507 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 508 | C3×C22⋊C4 | C24 | 1 | 8 | yes | — |
| 509 | C3×C22⋊C4 | C24 | 1 | 16 | yes | — |
| 510 | C3×C22⋊C4 | C24 | 1 | 8 | yes | — |
| 511 | C3×C22⋊C4 | C24 | 1 | 8 | yes | — |
| 512 | C3×C42 | C24 | 1 | 2 | yes | — |
| 513 | C3×C42 | C24 | 1 | 2 | yes | — |
| 514 | #217 | C24 | 1 | 8 | yes | — |
| 515 | #217 | C24 | 1 | 16 | yes | — |
| 516 | #217 | C24 | 1 | 8 | yes | — |
| 517 | #217 | C24 | 1 | 16 | yes | — |
| 518 | #217 | C24 | 1 | 8 | yes | — |
| 519 | #217 | C24 | 1 | 8 | yes | — |
| 520 | #217 | C24 | 1 | 16 | yes | — |
| 521 | #217 | C24 | 1 | 4 | yes | — |
| 522 | (C2×D3)⋊C4 | C24 | 1 | 4 | yes | — |
| 523 | (C2×D3)⋊C4 | C24 | 1 | 4 | yes | — |
| 524 | (C2×D3)⋊C4 | C24 | 1 | 4 | yes | — |
| 525 | (C2×D3)⋊C4 | C24 | 1 | 4 | yes | — |
| 526 | (C2×D3)⋊C4 | C24 | 1 | 8 | yes | — |
| 527 | (C2×D3)⋊C4 | C24 | 1 | 8 | yes | — |
| 528 | (C2×D3)⋊C4 | C24 | 1 | 16 | yes | — |
| 529 | (C2×D3)⋊C4 | C24 | 1 | 8 | yes | — |
| 530 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 531 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 532 | C4⋊Dic3 | C24 | 1 | 8 | yes | — |
| 533 | C4⋊Dic3 | C24 | 1 | 8 | yes | — |
| 534 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 535 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 536 | C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 537 | C4⋊Dic3 | C24 | 1 | 16 | yes | — |
| 538 | C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 539 | Dic3⋊C4 | C24 | 1 | 4 | yes | — |
| 540 | Dic3⋊C4 | C24 | 1 | 4 | yes | — |
| 541 | Dic3⋊C4 | C24 | 1 | 8 | yes | — |
| 542 | Dic3⋊C4 | C24 | 1 | 16 | yes | — |
| 543 | Dic3⋊C4 | C24 | 1 | 16 | yes | — |
| 544 | Dic3⋊C4 | C24 | 1 | 8 | yes | — |
| 545 | Dic3⋊C4 | C24 | 1 | 8 | yes | — |
| 546 | C4×Dic3 | C24 | 1 | 4 | yes | — |
| 547 | C4×Dic3 | C24 | 1 | 4 | yes | — |
| 548 | C4×Dic3 | C24 | 1 | 4 | yes | — |
| 549 | C4×Dic3 | C24 | 1 | 16 | yes | — |
| 550 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 551 | H(5,𝔽2) | — | 12 | 16 | no | — |
| 552 | C2×#41 | — | 3 | 4 | no | — |
| 553 | C2×#41 | — | 3 | 8 | no | — |
| 554 | C2×#41 | — | 3 | 8 | no | — |
| 555 | C2×#41 | — | 3 | 8 | no | — |
| 556 | C2×#41 | — | 3 | 4 | no | — |
| 557 | C2×#41 | — | 3 | 2 | no | — |
| 558 | C2×#41 | — | 3 | 4 | no | — |
| 559 | C2×#41 | — | 3 | 4 | no | — |
| 560 | C2×#41 | — | 3 | 8 | no | — |
| 561 | C2×#41 | — | 3 | 8 | no | — |
| 562 | C2×#41 | — | 3 | 4 | no | — |
| 563 | C2×#41 | — | 12 | 8 | no | — |
| 564 | C2×#41 | — | 12 | 16 | no | — |
| 565 | C2×#41 | C22×D3 | 1 | 4 | yes | — |
| 566 | C2×#41 | C22×D3 | 1 | 8 | yes | — |
| 567 | C22×Q8 | — | 3 | 4 | no | — |
| 568 | C22×Q8 | — | 3 | 2 | no | — |
| 569 | C22×D4 | — | 3 | 4 | no | — |
| 570 | C22×D4 | — | 3 | 16 | no | — |
| 571 | C22×D4 | — | 3 | 4 | no | — |
| 572 | C22×D4 | — | 3 | 8 | no | — |
| 573 | C22×D4 | — | 3 | 4 | no | — |
| 574 | C22×D4 | — | 3 | 8 | no | — |
| 575 | C22×D4 | — | 3 | 1 | no | — |
| 576 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 577 | C22×D4 | C22×D3 | 1 | 8 | yes | — |
| 578 | C22×D4 | C22×D3 | 1 | 8 | yes | — |
| 579 | C22×D4 | C22×D3 | 1 | 4 | yes | — |
| 580 | C23×C4 | — | 3 | 2 | no | — |
| 581 | C23×C4 | — | 3 | 4 | no | — |
| 582 | C23×C4 | — | 3 | 8 | no | — |
| 583 | C23×C4 | C22×D3 | 1 | 2 | yes | — |
| 584 | C4⋊Q8 | — | 3 | 4 | no | — |
| 585 | C4⋊Q8 | — | 3 | 4 | no | — |
| 586 | C4⋊Q8 | — | 3 | 4 | no | — |
| 587 | C4⋊Q8 | — | 3 | 4 | no | — |
| 588 | C4⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 589 | #127 | — | 3 | 4 | no | — |
| 590 | #127 | — | 3 | 4 | no | — |
| 591 | #127 | — | 3 | 16 | no | — |
| 592 | #127 | C22×D3 | 1 | 2 | yes | — |
| 593 | #126 | — | 3 | 8 | no | — |
| 594 | #126 | — | 3 | 16 | no | — |
| 595 | #126 | — | 3 | 16 | no | — |
| 596 | #125 | — | 3 | 4 | no | — |
| 597 | #125 | — | 3 | 8 | no | — |
| 598 | #125 | — | 3 | 16 | no | — |
| 599 | #124 | — | 3 | 4 | no | — |
| 600 | #124 | — | 3 | 8 | no | — |
| 601 | #124 | — | 3 | 16 | no | — |
| 602 | #124 | — | 3 | 8 | no | — |
| 603 | #124 | — | 3 | 8 | no | — |
| 604 | #124 | — | 3 | 16 | no | — |
| 605 | #124 | C22×D3 | 1 | 4 | yes | — |
| 606 | #123 | — | 3 | 8 | no | — |
| 607 | #123 | — | 3 | 16 | no | — |
| 608 | #123 | — | 3 | 16 | no | — |
| 609 | #123 | — | 3 | 8 | no | — |
| 610 | #123 | — | 3 | 8 | no | — |
| 611 | #123 | — | 3 | 16 | no | — |
| 612 | #123 | — | 3 | 16 | no | — |
| 613 | #123 | — | 3 | 16 | no | — |
| 614 | #123 | — | 3 | 8 | no | — |
| 615 | #123 | — | 3 | 8 | no | — |
| 616 | #123 | — | 3 | 16 | no | — |
| 617 | #123 | C22×D3 | 1 | 16 | yes | — |
| 618 | C22⋊Q8 | — | 3 | 8 | no | — |
| 619 | C22⋊Q8 | — | 3 | 4 | no | — |
| 620 | C22⋊Q8 | — | 3 | 4 | no | — |
| 621 | C22⋊Q8 | — | 3 | 8 | no | — |
| 622 | C22⋊Q8 | — | 3 | 8 | no | — |
| 623 | C22⋊Q8 | — | 3 | 8 | no | — |
| 624 | C22⋊Q8 | — | 3 | 4 | no | — |
| 625 | C22⋊Q8 | — | 3 | 4 | no | — |
| 626 | C22⋊Q8 | — | 3 | 16 | no | — |
| 627 | C22⋊Q8 | — | 3 | 4 | no | — |
| 628 | C22⋊Q8 | — | 3 | 16 | no | — |
| 629 | C22⋊Q8 | — | 3 | 8 | no | — |
| 630 | C22⋊Q8 | — | 3 | 8 | no | — |
| 631 | C22⋊Q8 | — | 3 | 8 | no | — |
| 632 | C22⋊Q8 | — | 3 | 16 | no | — |
| 633 | C22⋊Q8 | — | 3 | 8 | no | — |
| 634 | C22⋊Q8 | — | 3 | 16 | no | — |
| 635 | C22⋊Q8 | — | 3 | 16 | no | — |
| 636 | C22⋊Q8 | C22×D3 | 1 | 8 | yes | — |
| 637 | #121 | — | 3 | 4 | no | — |
| 638 | #121 | — | 3 | 8 | no | — |
| 639 | #121 | — | 3 | 8 | no | — |
| 640 | #121 | — | 3 | 4 | no | — |
| 641 | #121 | — | 3 | 16 | no | — |
| 642 | #121 | — | 3 | 8 | no | — |
| 643 | #121 | — | 3 | 8 | no | — |
| 644 | #121 | — | 3 | 16 | no | — |
| 645 | #121 | — | 3 | 16 | no | — |
| 646 | #121 | — | 3 | 16 | no | — |
| 647 | #121 | — | 3 | 4 | no | — |
| 648 | #121 | — | 3 | 4 | no | — |
| 649 | #121 | — | 3 | 8 | no | — |
| 650 | #121 | — | 3 | 8 | no | — |
| 651 | #121 | — | 3 | 8 | no | — |
| 652 | #121 | — | 3 | 4 | no | — |
| 653 | #121 | — | 3 | 16 | no | — |
| 654 | #121 | — | 3 | 16 | no | — |
| 655 | #121 | — | 3 | 4 | no | — |
| 656 | #121 | — | 3 | 8 | no | — |
| 657 | #121 | — | 3 | 4 | no | — |
| 658 | #121 | — | 3 | 16 | no | — |
| 659 | #121 | — | 3 | 4 | no | — |
| 660 | #121 | — | 3 | 8 | no | — |
| 661 | #121 | — | 3 | 4 | no | — |
| 662 | #121 | — | 3 | 16 | no | — |
| 663 | #121 | — | 3 | 16 | no | — |
| 664 | #121 | — | 3 | 8 | no | — |
| 665 | #121 | — | 3 | 8 | no | — |
| 666 | #121 | — | 3 | 8 | no | — |
| 667 | #121 | C22×D3 | 1 | 8 | yes | — |
| 668 | #121 | C22×D3 | 1 | 8 | yes | — |
| 669 | #121 | C22×D3 | 1 | 4 | yes | — |
| 670 | #121 | C22×D3 | 1 | 8 | yes | — |
| 671 | #121 | C22×D3 | 1 | 8 | yes | — |
| 672 | #121 | C22×D3 | 1 | 4 | yes | — |
| 673 | #120 | — | 3 | 8 | no | — |
| 674 | #120 | — | 3 | 16 | no | — |
| 675 | #120 | — | 3 | 16 | no | — |
| 676 | #120 | — | 3 | 8 | no | — |
| 677 | #120 | — | 3 | 8 | no | — |
| 678 | #120 | — | 3 | 16 | no | — |
| 679 | #120 | — | 3 | 8 | no | — |
| 680 | #120 | C22×D3 | 1 | 16 | yes | — |
| 681 | C4×Q8 | — | 3 | 8 | no | — |
| 682 | C4×Q8 | — | 3 | 8 | no | — |
| 683 | C4×Q8 | — | 3 | 2 | no | — |
| 684 | C4×Q8 | — | 3 | 2 | no | — |
| 685 | C4×D4 | — | 3 | 4 | no | — |
| 686 | C4×D4 | — | 3 | 16 | no | — |
| 687 | C4×D4 | — | 3 | 8 | no | — |
| 688 | C4×D4 | — | 3 | 8 | no | — |
| 689 | C4×D4 | — | 3 | 8 | no | — |
| 690 | C4×D4 | — | 3 | 4 | no | — |
| 691 | C4×D4 | — | 3 | 4 | no | — |
| 692 | C4×D4 | — | 3 | 16 | no | — |
| 693 | C4×D4 | — | 3 | 8 | no | — |
| 694 | C4×D4 | — | 3 | 8 | no | — |
| 695 | C4×D4 | — | 3 | 16 | no | — |
| 696 | C4×D4 | — | 3 | 4 | no | — |
| 697 | C4×D4 | — | 3 | 8 | no | — |
| 698 | C4×D4 | — | 3 | 16 | no | — |
| 699 | C4×D4 | — | 3 | 2 | no | — |
| 700 | C4×D4 | — | 3 | 4 | no | — |
| 701 | C4×D4 | — | 3 | 2 | no | — |
| 702 | C4×D4 | — | 3 | 2 | no | — |
| 703 | C4×D4 | — | 3 | 2 | no | — |
| 704 | C4×D4 | C22×D3 | 1 | 4 | yes | — |
| 705 | C4×D4 | C22×D3 | 1 | 4 | yes | — |
| 706 | C4×D4 | C22×D3 | 1 | 4 | yes | — |
| 707 | C4×D4 | C22×D3 | 1 | 4 | yes | — |
| 708 | #117 | — | 3 | 2 | no | — |
| 709 | #117 | — | 3 | 4 | no | — |
| 710 | #117 | — | 3 | 8 | no | — |
| 711 | #117 | — | 3 | 8 | no | — |
| 712 | #117 | — | 3 | 8 | no | — |
| 713 | #117 | — | 3 | 4 | no | — |
| 714 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 715 | C2×C4⋊C4 | — | 3 | 4 | no | — |
| 716 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 717 | C2×C4⋊C4 | — | 3 | 8 | no | — |
| 718 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 719 | C2×C4⋊C4 | — | 3 | 8 | no | — |
| 720 | C2×C4⋊C4 | — | 3 | 8 | no | — |
| 721 | C2×C4⋊C4 | — | 3 | 4 | no | — |
| 722 | C2×C4⋊C4 | — | 3 | 8 | no | — |
| 723 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 724 | C2×C4⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 725 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 726 | C2×C22⋊C4 | — | 3 | 16 | no | — |
| 727 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 728 | C2×C22⋊C4 | — | 3 | 8 | no | — |
| 729 | C2×C22⋊C4 | — | 3 | 16 | no | — |
| 730 | C2×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 731 | C2×C22⋊C4 | C22×D3 | 1 | 8 | yes | — |
| 732 | C2×C42 | — | 3 | 4 | no | — |
| 733 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 734 | C23×C3 | — | 2 | 4 | no | — |
| 735 | C23×C3 | — | 4 | 2 | no | — |
| 736 | C23×C3 | — | 4 | 2 | no | — |
| 737 | C23×C3 | — | 4 | 8 | no | — |
| 738 | C23×C3 | — | 4 | 8 | no | — |
| 739 | C23×C3 | — | 4 | 8 | no | — |
| 740 | C23×C3 | C25 | 1 | 4 | yes | — |
| 741 | C23×C3 | C25 | 1 | 8 | yes | — |
| 742 | C23×C3 | C25 | 1 | 1 | yes | characteristic |
| 743 | C22×D3 | — | 2 | 4 | no | — |
| 744 | C22×D3 | — | 2 | 4 | no | — |
| 745 | C22×D3 | — | 2 | 16 | no | — |
| 746 | C22×D3 | — | 4 | 2 | no | — |
| 747 | C22×D3 | — | 4 | 8 | no | — |
| 748 | C22×D3 | — | 4 | 8 | no | — |
| 749 | C22×D3 | C25 | 1 | 4 | yes | — |
| 750 | C22×D3 | C25 | 1 | 2 | yes | — |
| 751 | C22×D3 | C25 | 1 | 2 | yes | — |
| 752 | C3×Q8 | — | 2 | 8 | no | — |
| 753 | C3×D4 | — | 2 | 16 | no | — |
| 754 | C3×D4 | — | 2 | 8 | no | — |
| 755 | C3×D4 | — | 2 | 8 | no | — |
| 756 | C3×D4 | — | 2 | 8 | no | — |
| 757 | C3×D4 | — | 4 | 8 | no | — |
| 758 | C3×D4 | — | 4 | 16 | no | — |
| 759 | C3×D4 | — | 4 | 4 | no | — |
| 760 | C2×C3×C4 | — | 2 | 2 | no | — |
| 761 | C2×C3×C4 | — | 2 | 16 | no | — |
| 762 | C2×C3×C4 | — | 2 | 8 | no | — |
| 763 | C2×C3×C4 | — | 4 | 2 | no | — |
| 764 | C2×C3×C4 | — | 4 | 4 | no | — |
| 765 | C2×C3×C4 | — | 4 | 1 | no | — |
| 766 | C2×C3×C4 | — | 4 | 8 | no | — |
| 767 | C2×C3×C4 | H(5,𝔽2) | 1 | 4 | yes | complemented |
| 768 | C2×C3×C4 | C25 | 1 | 8 | yes | — |
| 769 | C2×C3×C4 | C25 | 1 | 2 | yes | — |
| 770 | C2×C3×C4 | C25 | 1 | 4 | yes | — |
| 771 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 772 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 773 | C2×C3×C4 | C25 | 1 | 2 | yes | — |
| 774 | #67 | — | 2 | 8 | no | — |
| 775 | #67 | — | 2 | 16 | no | — |
| 776 | #67 | — | 2 | 16 | no | — |
| 777 | #67 | — | 4 | 8 | no | — |
| 778 | #67 | — | 4 | 8 | no | — |
| 779 | #67 | — | 4 | 8 | no | — |
| 780 | #67 | — | 4 | 8 | no | — |
| 781 | #67 | — | 4 | 16 | no | — |
| 782 | #67 | — | 4 | 8 | no | — |
| 783 | #67 | — | 4 | 8 | no | — |
| 784 | C2×Dic3 | — | 2 | 4 | no | — |
| 785 | C2×Dic3 | — | 4 | 4 | no | — |
| 786 | C2×Dic3 | — | 4 | 8 | no | — |
| 787 | C2×Dic3 | — | 4 | 16 | no | — |
| 788 | C2×Dic3 | C25 | 1 | 4 | yes | — |
| 789 | C2×Dic3 | C25 | 1 | 4 | yes | — |
| 790 | C2×Dic3 | C25 | 1 | 4 | yes | — |
| 791 | C2×Dic3 | C25 | 1 | 8 | yes | — |
| 792 | C2×Dic3 | C25 | 1 | 4 | yes | — |
| 793 | D12 | — | 2 | 4 | no | — |
| 794 | D12 | — | 2 | 2 | no | — |
| 795 | D12 | — | 2 | 4 | no | — |
| 796 | D12 | — | 4 | 4 | no | — |
| 797 | D12 | — | 4 | 8 | no | — |
| 798 | D12 | H(5,𝔽2) | 1 | 4 | yes | complemented |
| 799 | C4×D3 | — | 2 | 16 | no | — |
| 800 | C4×D3 | — | 2 | 8 | no | — |
| 801 | C4×D3 | — | 2 | 8 | no | — |
| 802 | C4×D3 | — | 2 | 8 | no | — |
| 803 | C4×D3 | — | 2 | 8 | no | — |
| 804 | C4×D3 | — | 4 | 8 | no | — |
| 805 | C4×D3 | — | 4 | 8 | no | — |
| 806 | C4×D3 | — | 4 | 8 | no | — |
| 807 | C4×D3 | — | 4 | 4 | no | — |
| 808 | Dic6 | — | 2 | 8 | no | — |
| 809 | Dic6 | — | 2 | 4 | no | — |
| 810 | Dic6 | — | 4 | 4 | no | — |
| 811 | Dic6 | — | 4 | 4 | no | — |
| 812 | Dic6 | — | 4 | 8 | no | — |
| 813 | C24 | — | 3 | 2 | no | — |
| 814 | C24 | — | 3 | 8 | no | — |
| 815 | C24 | C23×D3 | 1 | 2 | yes | — |
| 816 | C24 | C23×D3 | 1 | 8 | yes | — |
| 817 | #41 | — | 2 | 16 | no | — |
| 818 | #41 | — | 4 | 16 | no | — |
| 819 | #41 | — | 6 | 16 | no | — |
| 820 | #41 | — | 6 | 8 | no | — |
| 821 | #41 | — | 12 | 16 | no | — |
| 822 | #41 | — | 12 | 8 | no | — |
| 823 | #41 | — | 12 | 8 | no | — |
| 824 | #41 | — | 12 | 16 | no | — |
| 825 | #41 | — | 12 | 16 | no | — |
| 826 | #41 | — | 12 | 8 | no | — |
| 827 | #41 | — | 12 | 16 | no | — |
| 828 | #41 | — | 12 | 16 | no | — |
| 829 | #41 | — | 12 | 8 | no | — |
| 830 | C2×Q8 | — | 3 | 2 | no | — |
| 831 | C2×Q8 | — | 3 | 4 | no | — |
| 832 | C2×Q8 | — | 3 | 8 | no | — |
| 833 | C2×Q8 | — | 3 | 4 | no | — |
| 834 | C2×Q8 | — | 3 | 4 | no | — |
| 835 | C2×Q8 | — | 12 | 4 | no | — |
| 836 | C2×Q8 | — | 12 | 8 | no | — |
| 837 | C2×Q8 | C23×D3 | 1 | 4 | yes | — |
| 838 | C2×D4 | — | 2 | 4 | no | — |
| 839 | C2×D4 | — | 3 | 4 | no | — |
| 840 | C2×D4 | — | 3 | 8 | no | — |
| 841 | C2×D4 | — | 3 | 8 | no | — |
| 842 | C2×D4 | — | 3 | 8 | no | — |
| 843 | C2×D4 | — | 3 | 8 | no | — |
| 844 | C2×D4 | — | 3 | 8 | no | — |
| 845 | C2×D4 | — | 3 | 8 | no | — |
| 846 | C2×D4 | — | 3 | 8 | no | — |
| 847 | C2×D4 | — | 3 | 8 | no | — |
| 848 | C2×D4 | — | 3 | 16 | no | — |
| 849 | C2×D4 | — | 3 | 1 | no | — |
| 850 | C2×D4 | — | 3 | 2 | no | — |
| 851 | C2×D4 | — | 3 | 2 | no | — |
| 852 | C2×D4 | — | 3 | 1 | no | — |
| 853 | C2×D4 | — | 3 | 8 | no | — |
| 854 | C2×D4 | — | 3 | 4 | no | — |
| 855 | C2×D4 | — | 4 | 16 | no | — |
| 856 | C2×D4 | — | 4 | 8 | no | — |
| 857 | C2×D4 | — | 4 | 16 | no | — |
| 858 | C2×D4 | — | 6 | 4 | no | — |
| 859 | C2×D4 | — | 6 | 16 | no | — |
| 860 | C2×D4 | — | 12 | 8 | no | — |
| 861 | C2×D4 | — | 12 | 16 | no | — |
| 862 | C2×D4 | — | 12 | 16 | no | — |
| 863 | C2×D4 | — | 12 | 8 | no | — |
| 864 | C2×D4 | — | 12 | 32 | no | — |
| 865 | C2×D4 | C23×D3 | 1 | 8 | yes | — |
| 866 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 867 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 868 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 869 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 870 | C2×D4 | C23×D3 | 1 | 16 | yes | — |
| 871 | C2×D4 | C23×D3 | 1 | 8 | yes | — |
| 872 | C22×C4 | — | 3 | 2 | no | — |
| 873 | C22×C4 | — | 3 | 8 | no | — |
| 874 | C22×C4 | — | 3 | 4 | no | — |
| 875 | C22×C4 | — | 3 | 16 | no | — |
| 876 | C22×C4 | — | 3 | 4 | no | — |
| 877 | C22×C4 | — | 3 | 4 | no | — |
| 878 | C22×C4 | — | 3 | 8 | no | — |
| 879 | C22×C4 | — | 3 | 4 | no | — |
| 880 | C22×C4 | — | 3 | 4 | no | — |
| 881 | C22×C4 | — | 3 | 4 | no | — |
| 882 | C22×C4 | — | 3 | 8 | no | — |
| 883 | C22×C4 | — | 3 | 8 | no | — |
| 884 | C22×C4 | — | 3 | 8 | no | — |
| 885 | C22×C4 | — | 4 | 4 | no | — |
| 886 | C22×C4 | — | 6 | 8 | no | — |
| 887 | C22×C4 | — | 12 | 16 | no | — |
| 888 | C22×C4 | — | 12 | 8 | no | — |
| 889 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 890 | C22×C4 | C23×D3 | 1 | 8 | yes | — |
| 891 | C22×C4 | C23×D3 | 1 | 4 | yes | — |
| 892 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 893 | C22×C4 | C23×D3 | 1 | 4 | yes | — |
| 894 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 895 | C22×C4 | C23×D3 | 1 | 8 | yes | — |
| 896 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 897 | C4⋊C4 | — | 3 | 8 | no | — |
| 898 | C4⋊C4 | — | 3 | 2 | no | — |
| 899 | C4⋊C4 | — | 3 | 2 | no | — |
| 900 | C4⋊C4 | — | 3 | 16 | no | — |
| 901 | C4⋊C4 | — | 3 | 4 | no | — |
| 902 | C4⋊C4 | — | 3 | 8 | no | — |
| 903 | C4⋊C4 | — | 3 | 8 | no | — |
| 904 | C4⋊C4 | — | 3 | 2 | no | — |
| 905 | C4⋊C4 | — | 3 | 16 | no | — |
| 906 | C4⋊C4 | — | 3 | 16 | no | — |
| 907 | C4⋊C4 | — | 3 | 2 | no | — |
| 908 | C4⋊C4 | — | 3 | 4 | no | — |
| 909 | C4⋊C4 | — | 3 | 4 | no | — |
| 910 | C4⋊C4 | — | 3 | 4 | no | — |
| 911 | C4⋊C4 | — | 3 | 8 | no | — |
| 912 | C4⋊C4 | — | 3 | 8 | no | — |
| 913 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 914 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 915 | C4⋊C4 | C23×D3 | 1 | 8 | yes | — |
| 916 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 917 | C22⋊C4 | — | 3 | 8 | no | — |
| 918 | C22⋊C4 | — | 3 | 16 | no | — |
| 919 | C22⋊C4 | — | 3 | 16 | no | — |
| 920 | C22⋊C4 | — | 3 | 8 | no | — |
| 921 | C22⋊C4 | — | 3 | 8 | no | — |
| 922 | C22⋊C4 | — | 3 | 4 | no | — |
| 923 | C22⋊C4 | — | 3 | 16 | no | — |
| 924 | C22⋊C4 | — | 3 | 8 | no | — |
| 925 | C22⋊C4 | — | 3 | 4 | no | — |
| 926 | C22⋊C4 | — | 3 | 8 | no | — |
| 927 | C22⋊C4 | — | 3 | 8 | no | — |
| 928 | C22⋊C4 | — | 3 | 16 | no | — |
| 929 | C22⋊C4 | — | 3 | 4 | no | — |
| 930 | C22⋊C4 | — | 3 | 4 | no | — |
| 931 | C22⋊C4 | — | 3 | 4 | no | — |
| 932 | C22⋊C4 | — | 3 | 8 | no | — |
| 933 | C22⋊C4 | C23×D3 | 1 | 16 | yes | — |
| 934 | C22⋊C4 | C23×D3 | 1 | 8 | yes | — |
| 935 | C22⋊C4 | C23×D3 | 1 | 8 | yes | — |
| 936 | C22⋊C4 | C23×D3 | 1 | 8 | yes | — |
| 937 | C42 | — | 3 | 4 | no | — |
| 938 | C42 | — | 3 | 4 | no | — |
| 939 | C42 | — | 3 | 4 | no | — |
| 940 | C42 | — | 3 | 16 | no | — |
| 941 | C42 | C23×D3 | 1 | 2 | yes | — |
| 942 | C42 | C23×D3 | 1 | 2 | yes | — |
| 943 | C22×C3 | — | 2 | 1 | no | — |
| 944 | C22×C3 | — | 2 | 1 | no | — |
| 945 | C22×C3 | — | 2 | 8 | no | — |
| 946 | C22×C3 | — | 2 | 8 | no | — |
| 947 | C22×C3 | — | 2 | 4 | no | — |
| 948 | C22×C3 | — | 2 | 4 | no | — |
| 949 | C22×C3 | — | 2 | 4 | no | — |
| 950 | C22×C3 | — | 2 | 8 | no | — |
| 951 | C22×C3 | — | 8 | 4 | no | — |
| 952 | C22×C3 | — | 16 | 8 | no | — |
| 953 | C22×C3 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 954 | C22×C3 | C26 | 1 | 1 | yes | characteristic |
| 955 | C2×D3 | — | 2 | 2 | no | — |
| 956 | C2×D3 | — | 2 | 2 | no | — |
| 957 | C2×D3 | — | 2 | 2 | no | — |
| 958 | C2×D3 | — | 2 | 4 | no | — |
| 959 | C2×D3 | — | 2 | 4 | no | — |
| 960 | C2×D3 | — | 2 | 2 | no | — |
| 961 | C2×D3 | — | 2 | 4 | no | — |
| 962 | C2×D3 | — | 2 | 2 | no | — |
| 963 | C2×D3 | — | 4 | 8 | no | — |
| 964 | C2×D3 | — | 8 | 16 | no | — |
| 965 | C2×D3 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 966 | C3×C4 | — | 2 | 1 | no | — |
| 967 | C3×C4 | — | 2 | 4 | no | — |
| 968 | C3×C4 | — | 2 | 8 | no | — |
| 969 | C3×C4 | — | 2 | 2 | no | — |
| 970 | C3×C4 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 971 | C3×C4 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 972 | Dic3 | — | 2 | 4 | no | — |
| 973 | Dic3 | — | 2 | 8 | no | — |
| 974 | Dic3 | — | 2 | 4 | no | — |
| 975 | Dic3 | — | 2 | 4 | no | — |
| 976 | Dic3 | — | 2 | 4 | no | — |
| 977 | C23 | — | 2 | 4 | no | — |
| 978 | C23 | — | 3 | 2 | no | — |
| 979 | C23 | — | 3 | 4 | no | — |
| 980 | C23 | — | 3 | 2 | no | — |
| 981 | C23 | — | 4 | 2 | no | — |
| 982 | C23 | — | 4 | 2 | no | — |
| 983 | C23 | — | 4 | 8 | no | — |
| 984 | C23 | — | 4 | 8 | no | — |
| 985 | C23 | — | 4 | 8 | no | — |
| 986 | C23 | — | 6 | 4 | no | — |
| 987 | C23 | — | 6 | 16 | no | — |
| 988 | C23 | — | 6 | 4 | no | — |
| 989 | C23 | — | 12 | 2 | no | — |
| 990 | C23 | — | 12 | 8 | no | — |
| 991 | C23 | — | 12 | 8 | no | — |
| 992 | C23 | C24×D3 | 1 | 4 | yes | — |
| 993 | C23 | C24×D3 | 1 | 8 | yes | — |
| 994 | C23 | C24×D3 | 1 | 1 | yes | characteristic |
| 995 | Q8 | — | 2 | 8 | no | — |
| 996 | Q8 | — | 6 | 4 | no | — |
| 997 | Q8 | — | 6 | 8 | no | — |
| 998 | Q8 | — | 12 | 8 | no | — |
| 999 | Q8 | — | 12 | 4 | no | — |
| 1000 | Q8 | — | 12 | 4 | no | — |
| 1001 | D4 | — | 2 | 16 | no | — |
| 1002 | D4 | — | 2 | 8 | no | — |
| 1003 | D4 | — | 2 | 8 | no | — |
| 1004 | D4 | — | 2 | 8 | no | — |
| 1005 | D4 | — | 3 | 4 | no | — |
| 1006 | D4 | — | 4 | 16 | no | — |
| 1007 | D4 | — | 4 | 8 | no | — |
| 1008 | D4 | — | 4 | 4 | no | — |
| 1009 | D4 | — | 6 | 4 | no | — |
| 1010 | D4 | — | 6 | 16 | no | — |
| 1011 | D4 | — | 6 | 16 | no | — |
| 1012 | D4 | — | 6 | 8 | no | — |
| 1013 | D4 | — | 6 | 4 | no | — |
| 1014 | D4 | — | 6 | 2 | no | — |
| 1015 | D4 | — | 12 | 4 | no | — |
| 1016 | D4 | — | 12 | 8 | no | — |
| 1017 | D4 | — | 12 | 8 | no | — |
| 1018 | D4 | — | 12 | 16 | no | — |
| 1019 | D4 | — | 12 | 8 | no | — |
| 1020 | D4 | — | 12 | 8 | no | — |
| 1021 | D4 | — | 12 | 8 | no | — |
| 1022 | D4 | — | 12 | 8 | no | — |
| 1023 | D4 | — | 12 | 8 | no | — |
| 1024 | C2×C4 | — | 2 | 16 | no | — |
| 1025 | C2×C4 | — | 2 | 2 | no | — |
| 1026 | C2×C4 | — | 2 | 8 | no | — |
| 1027 | C2×C4 | — | 3 | 4 | no | — |
| 1028 | C2×C4 | — | 3 | 4 | no | — |
| 1029 | C2×C4 | — | 3 | 4 | no | — |
| 1030 | C2×C4 | — | 3 | 8 | no | — |
| 1031 | C2×C4 | — | 3 | 4 | no | — |
| 1032 | C2×C4 | — | 4 | 2 | no | — |
| 1033 | C2×C4 | — | 4 | 4 | no | — |
| 1034 | C2×C4 | — | 4 | 8 | no | — |
| 1035 | C2×C4 | — | 4 | 1 | no | — |
| 1036 | C2×C4 | — | 6 | 16 | no | — |
| 1037 | C2×C4 | — | 6 | 4 | no | — |
| 1038 | C2×C4 | — | 6 | 8 | no | — |
| 1039 | C2×C4 | — | 6 | 8 | no | — |
| 1040 | C2×C4 | — | 6 | 8 | no | — |
| 1041 | C2×C4 | — | 6 | 8 | no | — |
| 1042 | C2×C4 | — | 12 | 8 | no | — |
| 1043 | C2×C4 | — | 12 | 8 | no | — |
| 1044 | C2×C4 | — | 12 | 8 | no | — |
| 1045 | C2×C4 | — | 12 | 4 | no | — |
| 1046 | C2×C4 | — | 12 | 4 | no | — |
| 1047 | C2×C4 | — | 12 | 8 | no | — |
| 1048 | C2×C4 | — | 12 | 16 | no | — |
| 1049 | C2×C4 | #1004 | 1 | 4 | yes | complemented |
| 1050 | C2×C4 | C24×D3 | 1 | 2 | yes | — |
| 1051 | C2×C4 | C24×D3 | 1 | 8 | yes | — |
| 1052 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1053 | C2×C4 | C24×D3 | 1 | 4 | yes | — |
| 1054 | C2×C4 | C24×D3 | 1 | 2 | yes | — |
| 1055 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1056 | C2×C3 | — | 2 | 2 | no | — |
| 1057 | C2×C3 | — | 4 | 8 | no | — |
| 1058 | C2×C3 | — | 4 | 4 | no | — |
| 1059 | C2×C3 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1060 | C2×C3 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1061 | C2×C3 | 2−1+6 | 1 | 1 | yes | characteristic |
| 1062 | D3 | — | 2 | 4 | no | — |
| 1063 | D3 | — | 4 | 2 | no | — |
| 1064 | D3 | — | 4 | 4 | no | — |
| 1065 | C22 | — | 2 | 1 | no | — |
| 1066 | C22 | — | 2 | 1 | no | — |
| 1067 | C22 | — | 2 | 8 | no | — |
| 1068 | C22 | — | 2 | 4 | no | — |
| 1069 | C22 | — | 2 | 4 | no | — |
| 1070 | C22 | — | 2 | 8 | no | — |
| 1071 | C22 | — | 2 | 8 | no | — |
| 1072 | C22 | — | 2 | 4 | no | — |
| 1073 | C22 | — | 3 | 4 | no | — |
| 1074 | C22 | — | 6 | 2 | no | — |
| 1075 | C22 | — | 6 | 2 | no | — |
| 1076 | C22 | — | 6 | 2 | no | — |
| 1077 | C22 | — | 6 | 4 | no | — |
| 1078 | C22 | — | 6 | 4 | no | — |
| 1079 | C22 | — | 6 | 2 | no | — |
| 1080 | C22 | — | 6 | 4 | no | — |
| 1081 | C22 | — | 6 | 2 | no | — |
| 1082 | C22 | — | 8 | 4 | no | — |
| 1083 | C22 | — | 12 | 8 | no | — |
| 1084 | C22 | — | 16 | 8 | no | — |
| 1085 | C22 | — | 24 | 16 | no | — |
| 1086 | C22 | C2×#1004 | 1 | 2 | yes | — |
| 1087 | C22 | C25×D3 | 1 | 1 | yes | characteristic |
| 1088 | C4 | — | 2 | 8 | no | — |
| 1089 | C4 | — | 2 | 1 | no | — |
| 1090 | C4 | — | 2 | 4 | no | — |
| 1091 | C4 | — | 2 | 2 | no | — |
| 1092 | C4 | — | 6 | 4 | no | — |
| 1093 | C4 | — | 6 | 4 | no | — |
| 1094 | C4 | — | 6 | 4 | no | — |
| 1095 | C4 | — | 6 | 8 | no | — |
| 1096 | C4 | — | 6 | 4 | no | — |
| 1097 | C4 | C2×#1004 | 1 | 4 | yes | — |
| 1098 | C4 | D3×H(5,𝔽2) | 1 | 2 | yes | — |
| 1099 | C3 | #62914 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1100 | C2 | — | 2 | 2 | no | — |
| 1101 | C2 | — | 4 | 4 | no | — |
| 1102 | C2 | — | 4 | 8 | no | — |
| 1103 | C2 | — | 6 | 4 | no | — |
| 1104 | C2 | — | 12 | 2 | no | — |
| 1105 | C2 | — | 12 | 4 | no | — |
| 1106 | C2 | C22×#1004 | 1 | 1 | yes | characteristic |
| 1107 | C2 | C2×D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1108 | C2 | #87572 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C25×D3 |
| commutator, socle, cosocle | C22×C3 | C26 |
| Fitting | C3×#3496 | C2 |
| hypercenter | #3496 | D3 |
| hypocenter | C3 | #62914 |
| LCS | G ▷ C22×C3 ▷ C3 | |
| UCS | C1 ◁ C22 ◁ #3496 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×#3496 | C2 | semidirect |
| 2. #87285 | C2 | semidirect |
| 3. #86693 | C2 | semidirect |
| 4. #86686 | C2 | semidirect |
| 5. #86670 | C2 | semidirect |
| 6. #86649 | C2 | semidirect |
| 7. #86625 | C2 | semidirect |
| 8. #86621 | C2 | semidirect |
| 9. #86381 | C2 | semidirect |
| 10. D3×#537 | C2 | semidirect |
| 11. #86312 | C2 | semidirect |
| 12. #86238 | C2 | semidirect |
| 13. #86225 | C2 | semidirect |
| 14. #85955 | C2 | semidirect |
| 15. #85949 | C2 | semidirect |
| 16. C2×#5551 | C2 | semidirect |
| 17. #85777 | C2 | semidirect |
| 19. C2×C3×H(5,𝔽2) | C22 | semidirect |
| 20. C2×D3×#41 | C22 | semidirect |
| 21. C2×#1004 | C22 | semidirect |
| 22. C22×#235 | C22 | semidirect |
| 23. C3×#547 | C22 | semidirect |
| 24. C3×#546 | C22 | semidirect |
| 25. C3×D42 | C22 | semidirect |
| 26. C3×#537 | C22 | semidirect |
| 27. C3×#534 | C22 | semidirect |
| 28. C3×#532 | C22 | semidirect |
| 29. C2×C3×#121 | C22 | semidirect |
| 30. C2×C3×C4×D4 | C22 | semidirect |
| 31. #5834 | C22 | semidirect |
| 32. #5833 | C22 | semidirect |
| 33. #5833 | C22 | semidirect |
| 34. #5831 | C22 | semidirect |
| 35. #5828 | C22 | semidirect |
| 36. #5828 | C22 | semidirect |
| 37. #5827 | C22 | semidirect |
| 38. #5806 | C22 | semidirect |
| 39. #5806 | C22 | semidirect |
| 40. #5806 | C22 | semidirect |
| 41. #5805 | C22 | semidirect |
| 42. #5805 | C22 | semidirect |
| 43. #5805 | C22 | semidirect |
| 44. D4×#67 | C22 | semidirect |
| 45. D4×#67 | C22 | semidirect |
| 46. C2×#938 | C22 | semidirect |
| 47. C2×#938 | C22 | semidirect |
| 48. #5791 | C22 | semidirect |
| 49. C2×#924 | C22 | semidirect |
| 50. #5728 | C22 | semidirect |
| 51. #5727 | C22 | semidirect |
| 52. #5726 | C22 | semidirect |
| 53. #5718 | C22 | semidirect |
| 54. #5717 | C22 | semidirect |
| 55. #5716 | C22 | semidirect |
| 56. #5682 | C22 | semidirect |
| 57. #5677 | C22 | semidirect |
| 58. #5676 | C22 | semidirect |
| 59. #5667 | C22 | semidirect |
| 60. #5663 | C22 | semidirect |
| 61. #5660 | C22 | semidirect |
| 62. #5659 | C22 | semidirect |
| 63. #5639 | C22 | semidirect |
| 64. #5635 | C22 | semidirect |
| 65. #5629 | C22 | semidirect |
| 66. D3×C22⋊Q8 | C22 | semidirect |
| 67. #5621 | C22 | semidirect |
| 68. #5618 | C22 | semidirect |
| 69. #5614 | C22 | semidirect |
| 70. #5612 | C22 | semidirect |
| 71. #5611 | C22 | semidirect |
| 72. #5611 | C22 | semidirect |
| 73. #5610 | C22 | semidirect |
| 74. #5609 | C22 | semidirect |
| 75. #5608 | C22 | semidirect |
| 76. #5608 | C22 | semidirect |
| 77. #5608 | C22 | semidirect |
| 78. #5607 | C22 | semidirect |
| 79. #5606 | C22 | semidirect |
| 80. D3×#121 | C22 | semidirect |
| 81. D3×#121 | C22 | semidirect |
| 82. #5603 | C22 | semidirect |
| 83. #5602 | C22 | semidirect |
| 84. #5599 | C22 | semidirect |
| 85. #5598 | C22 | semidirect |
| 86. #5597 | C22 | semidirect |
| 87. #5595 | C22 | semidirect |
| 88. #5593 | C22 | semidirect |
| 89. #5591 | C22 | semidirect |
| 90. #5589 | C22 | semidirect |
| 91. #5563 | C22 | semidirect |
| 92. #5562 | C22 | semidirect |
| 93. #5561 | C22 | semidirect |
| 94. #5557 | C22 | semidirect |
| 95. #5555 | C22 | semidirect |
| 96. #5551 | C22 | semidirect |
| 97. #5551 | C22 | semidirect |
| 98. #5551 | C22 | semidirect |
| 99. #5548 | C22 | semidirect |
| 100. #5548 | C22 | semidirect |
| 101. #5547 | C22 | semidirect |
| 102. C4×D3×D4 | C22 | semidirect |
| 103. #5543 | C22 | semidirect |
| 104. #5542 | C22 | semidirect |
| 105. #5511 | C22 | semidirect |
| 106. #5510 | C22 | semidirect |
| 107. #5510 | C22 | semidirect |
| 108. #5504 | C22 | semidirect |
| 109. C2×D3×C4⋊C4 | C22 | semidirect |
| 110. #5500 | C22 | semidirect |
| 111. #5494 | C22 | semidirect |
| 112. #5494 | C22 | semidirect |
| 113. #5490 | C22 | semidirect |
| 114. C2×#883 | C22 | semidirect |
| 115. #5483 | C22 | semidirect |
| 116. C4×#235 | C22 | semidirect |
| 117. C2×C4×D12 | C22 | semidirect |
| 118. C2×#869 | C22 | semidirect |
| 128. #3496 | D3 | semidirect |
| 321. C2×H(5,𝔽2) | C2×D3 | semidirect |
| 350. #547 | C2×D3 | semidirect |
| 359. #546 | C2×D3 | semidirect |
| 364. D42 | C2×D3 | semidirect |
| 386. #537 | C2×D3 | semidirect |
| 392. #534 | C2×D3 | semidirect |
| 397. #532 | C2×D3 | semidirect |
| 412. C2×#121 | C2×D3 | semidirect |
| 418. C2×C4×D4 | C2×D3 | semidirect |
| 767. C2×C3×C4 | H(5,𝔽2) | semidirect |
| 798. D12 | H(5,𝔽2) | semidirect |
| 1049. C2×C4 | #1004 | semidirect |
| 1099. C3 | #62914 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#3496 | 2 |
| #87285 | 2 |
| #86693 | 2 |
| #86686 | 2 |
| #86670 | 2 |
| #86649 | 2 |
| #86625 | 2 |
| #86621 | 2 |
| #86381 | 2 |
| D3×#537 | 2 |
| #86312 | 2 |
| #86238 | 2 |
| #86225 | 2 |
| #85955 | 2 |
| #85949 | 2 |
| C2×#5551 | 2 |
| #85777 | 2 |
| #62914 | 3 |