Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
6142 conjugacy classes of subgroups.
The subgroup lattice has 1222 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C22×#1004 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5715 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×D3×#127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#5607 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#2433 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #84049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #83187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #83175 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #82652 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #82604 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #82588 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #76753 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #76672 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #76428 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #76314 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #76313 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #76290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #73586 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #73563 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #35527 | — | 3 | 1 | no | maximal, Sylow |
| 21 | C23×C3×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C23×#67 | C22 | 1 | 2 | yes | — |
| 23 | C23×#67 | C22 | 1 | 2 | yes | complemented |
| 24 | C2×#1004 | — | 2 | 8 | no | — |
| 25 | C2×#1004 | — | 2 | 8 | no | — |
| 26 | C2×#1004 | — | 2 | 8 | no | — |
| 27 | C22×#237 | C22 | 1 | 1 | yes | characteristic |
| 28 | C22×#237 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C22×#237 | C22 | 1 | 2 | yes | complemented |
| 30 | C22×D3×D4 | C22 | 1 | 2 | yes | — |
| 31 | C22×D3×D4 | C22 | 1 | 1 | yes | characteristic |
| 32 | C22×D3×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C22×D3×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C22×D3×D4 | C22 | 1 | 4 | yes | complemented |
| 35 | C22×#235 | C22 | 1 | 1 | yes | characteristic |
| 36 | C22×#235 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×C3×#127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×C3×#127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×C3×#121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C2×C3×#120 | C22 | 1 | 4 | yes | complemented |
| 41 | C2×#953 | C22 | 1 | 4 | yes | complemented |
| 42 | C2×#940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×#940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C2×#940 | C22 | 1 | 4 | yes | complemented |
| 45 | C2×#940 | C22 | 1 | 2 | yes | complemented |
| 46 | C2×#940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×#939 | C22 | 1 | 4 | yes | complemented |
| 48 | C2×#938 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#937 | C22 | 1 | 2 | yes | complemented |
| 50 | C2×#937 | C22 | 1 | 4 | yes | complemented |
| 51 | C2×#937 | C22 | 1 | 4 | yes | complemented |
| 52 | C2×#936 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#930 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #5715 | — | 2 | 8 | no | — |
| 55 | D3×#127 | — | 2 | 8 | no | — |
| 56 | #5607 | — | 2 | 8 | no | — |
| 57 | C2×#895 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×#892 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C2×#885 | C22 | 1 | 2 | yes | complemented |
| 60 | C2×#882 | C22 | 1 | 2 | yes | complemented |
| 61 | C2×#882 | C22 | 1 | 4 | yes | complemented |
| 62 | C2×#875 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | C2×#874 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×#872 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | C2×C42×D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | C3×#392 | C22 | 1 | 4 | yes | complemented |
| 67 | C3×#390 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | C3×#390 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | C3×C4×C22⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #5223 | C22 | 1 | 4 | yes | complemented |
| 71 | #5223 | C22 | 1 | 4 | yes | complemented |
| 72 | #5223 | C22 | 1 | 4 | yes | complemented |
| 73 | #5223 | C22 | 1 | 4 | yes | complemented |
| 74 | #5221 | C22 | 1 | 1 | yes | characteristic, complemented |
| 75 | #5221 | C22 | 1 | 1 | yes | characteristic, complemented |
| 76 | #5220 | C22 | 1 | 4 | yes | complemented |
| 77 | C4×#217 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | #4988 | C22 | 1 | 1 | yes | characteristic, complemented |
| 79 | #4973 | C22 | 1 | 1 | yes | characteristic, complemented |
| 80 | #4960 | C22 | 1 | 4 | yes | complemented |
| 81 | #4960 | C22 | 1 | 4 | yes | complemented |
| 82 | #4960 | C22 | 1 | 4 | yes | complemented |
| 83 | #4958 | C22 | 1 | 4 | yes | complemented |
| 84 | #4957 | C22 | 1 | 2 | yes | complemented |
| 85 | #4957 | C22 | 1 | 4 | yes | complemented |
| 86 | #4956 | C22 | 1 | 4 | yes | complemented |
| 87 | #4956 | C22 | 1 | 2 | yes | complemented |
| 88 | #4956 | C22 | 1 | 4 | yes | complemented |
| 89 | #4955 | C22 | 1 | 4 | yes | complemented |
| 90 | Dic3×C22⋊C4 | C22 | 1 | 4 | yes | complemented |
| 91 | #4939 | C22 | 1 | 1 | yes | characteristic, complemented |
| 92 | C4×(C2×D3)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 93 | C4×(C2×D3)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 94 | #4929 | C22 | 1 | 1 | yes | characteristic, complemented |
| 95 | #4665 | C22 | 1 | 2 | yes | complemented |
| 96 | #4665 | C22 | 1 | 4 | yes | complemented |
| 97 | #4646 | C22 | 1 | 2 | yes | complemented |
| 98 | C22×H(5,𝔽2) | — | 3 | 1 | no | — |
| 99 | C2×#535 | — | 3 | 1 | no | — |
| 100 | C2×#535 | — | 3 | 1 | no | — |
| 101 | C22×#127 | — | 3 | 1 | no | — |
| 102 | #2433 | — | 3 | 1 | no | — |
| 103 | #2433 | — | 3 | 1 | no | — |
| 104 | #2433 | — | 3 | 1 | no | — |
| 105 | #2433 | — | 3 | 4 | no | — |
| 106 | #2433 | D3 | 1 | 1 | yes | characteristic, complemented |
| 107 | #2431 | — | 3 | 4 | no | — |
| 108 | #2431 | — | 3 | 1 | no | — |
| 109 | #2431 | — | 3 | 1 | no | — |
| 110 | #2431 | — | 3 | 1 | no | — |
| 111 | #2431 | — | 3 | 1 | no | — |
| 112 | #2403 | — | 3 | 4 | no | — |
| 113 | #2403 | — | 3 | 4 | no | — |
| 114 | #2309 | — | 3 | 1 | no | — |
| 115 | #2297 | — | 3 | 1 | no | — |
| 116 | #2297 | — | 3 | 1 | no | — |
| 117 | C25×C3 | C23 | 1 | 2 | yes | — |
| 118 | C24×D3 | C23 | 1 | 2 | yes | — |
| 119 | C24×D3 | C23 | 1 | 2 | yes | — |
| 120 | C24×D3 | C23 | 1 | 2 | yes | — |
| 121 | C22×C3×D4 | — | 2 | 4 | no | — |
| 122 | C22×C3×D4 | — | 2 | 4 | no | — |
| 123 | C22×C3×D4 | — | 2 | 4 | no | — |
| 124 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 125 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 126 | C22×C3×D4 | C23 | 1 | 4 | yes | — |
| 127 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 128 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 129 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 130 | C22×C3×D4 | C23 | 1 | 4 | yes | — |
| 131 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 132 | C22×#67 | — | 2 | 8 | no | — |
| 133 | C22×#67 | — | 2 | 8 | no | — |
| 134 | C22×#67 | — | 2 | 8 | no | — |
| 135 | C22×#67 | — | 2 | 8 | no | — |
| 136 | C22×#67 | — | 2 | 8 | no | — |
| 137 | C22×#67 | — | 2 | 8 | no | — |
| 138 | C22×#67 | C23 | 1 | 2 | yes | — |
| 139 | C22×#67 | C23 | 1 | 2 | yes | — |
| 140 | C22×#67 | C23 | 1 | 2 | yes | — |
| 141 | C22×#67 | C23 | 1 | 2 | yes | — |
| 142 | C22×#67 | C23 | 1 | 4 | yes | — |
| 143 | C22×#67 | C23 | 1 | 4 | yes | — |
| 144 | C22×#67 | C23 | 1 | 1 | yes | characteristic |
| 145 | C22×#67 | C23 | 1 | 2 | yes | — |
| 146 | C22×#67 | C23 | 1 | 2 | yes | — |
| 147 | C22×#67 | C23 | 1 | 1 | yes | characteristic |
| 148 | C22×#67 | C23 | 1 | 2 | yes | — |
| 149 | C22×#67 | C23 | 1 | 4 | yes | — |
| 150 | C22×#67 | C23 | 1 | 2 | yes | — |
| 151 | C23×Dic3 | C23 | 1 | 2 | yes | — |
| 152 | C23×Dic3 | C23 | 1 | 2 | yes | — |
| 153 | #1004 | — | 2 | 128 | no | — |
| 154 | C2×#237 | — | 2 | 4 | no | — |
| 155 | C2×#237 | — | 2 | 8 | no | — |
| 156 | C2×#237 | — | 2 | 8 | no | — |
| 157 | C2×#237 | — | 2 | 4 | no | — |
| 158 | C2×#237 | — | 2 | 4 | no | — |
| 159 | C2×#237 | — | 2 | 4 | no | — |
| 160 | C2×#237 | — | 2 | 4 | no | — |
| 161 | C2×#237 | — | 2 | 8 | no | — |
| 162 | C2×#237 | D4 | 1 | 8 | yes | complemented |
| 163 | C2×D3×D4 | — | 2 | 8 | no | — |
| 164 | C2×D3×D4 | — | 2 | 4 | no | — |
| 165 | C2×D3×D4 | — | 2 | 8 | no | — |
| 166 | C2×D3×D4 | — | 2 | 16 | no | — |
| 167 | C2×D3×D4 | — | 2 | 8 | no | — |
| 168 | C2×D3×D4 | — | 2 | 4 | no | — |
| 169 | C2×D3×D4 | — | 2 | 4 | no | — |
| 170 | C2×D3×D4 | — | 2 | 4 | no | — |
| 171 | C2×D3×D4 | — | 2 | 4 | no | — |
| 172 | C2×D3×D4 | — | 2 | 4 | no | — |
| 173 | C2×D3×D4 | — | 2 | 4 | no | — |
| 174 | C2×D3×D4 | — | 2 | 4 | no | — |
| 175 | C2×D3×D4 | — | 4 | 8 | no | — |
| 176 | C2×D3×D4 | — | 4 | 8 | no | — |
| 177 | C2×D3×D4 | D4 | 1 | 8 | yes | complemented |
| 178 | C2×#235 | — | 2 | 4 | no | — |
| 179 | C2×#235 | — | 2 | 4 | no | — |
| 180 | C2×#235 | — | 2 | 4 | no | — |
| 181 | C2×#235 | — | 2 | 4 | no | — |
| 182 | C2×#235 | — | 2 | 4 | no | — |
| 183 | C2×#235 | D4 | 1 | 8 | yes | complemented |
| 184 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 185 | C22×D12 | C23 | 1 | 4 | yes | — |
| 186 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 187 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 188 | C22×D12 | C23 | 1 | 2 | yes | — |
| 189 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 190 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 191 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 192 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 193 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 194 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 195 | C3×#127 | — | 2 | 4 | no | — |
| 196 | C3×#127 | — | 2 | 4 | no | — |
| 197 | C3×#121 | — | 2 | 4 | no | — |
| 198 | C3×#120 | — | 4 | 8 | no | — |
| 199 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 200 | C2×C3×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 201 | C2×C3×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 202 | C2×C3×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 203 | C2×C3×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 204 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 205 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 206 | #953 | — | 4 | 8 | no | — |
| 207 | C2×#217 | C23 | 1 | 4 | yes | — |
| 208 | C2×#217 | C23 | 1 | 2 | yes | — |
| 209 | C2×#217 | C23 | 1 | 4 | yes | — |
| 210 | C2×#217 | C23 | 1 | 2 | yes | — |
| 211 | C2×#217 | C23 | 1 | 4 | yes | — |
| 212 | #940 | — | 2 | 4 | no | — |
| 213 | #940 | — | 2 | 4 | no | — |
| 214 | #940 | — | 2 | 16 | no | — |
| 215 | #940 | — | 2 | 8 | no | — |
| 216 | #940 | — | 2 | 4 | no | — |
| 217 | #939 | — | 2 | 16 | no | — |
| 218 | #938 | — | 2 | 4 | no | — |
| 219 | #937 | — | 2 | 16 | no | — |
| 220 | #937 | — | 2 | 8 | no | — |
| 221 | #937 | — | 4 | 8 | no | — |
| 222 | #936 | — | 2 | 4 | no | — |
| 223 | #930 | — | 2 | 4 | no | — |
| 224 | C2×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 225 | C2×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 226 | C2×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 227 | C2×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 228 | C2×(C2×D3)⋊C4 | C23 | 1 | 4 | yes | — |
| 229 | C2×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 230 | C2×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 231 | C2×(C2×D3)⋊C4 | C23 | 1 | 4 | yes | — |
| 232 | C2×(C2×D3)⋊C4 | C23 | 1 | 4 | yes | — |
| 233 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 234 | C2×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 235 | C2×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 236 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 237 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 238 | C2×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 239 | #895 | — | 2 | 4 | no | — |
| 240 | #892 | — | 2 | 4 | no | — |
| 241 | #885 | — | 2 | 8 | no | — |
| 242 | #882 | — | 2 | 8 | no | — |
| 243 | #882 | — | 4 | 8 | no | — |
| 244 | #875 | — | 2 | 4 | no | — |
| 245 | #874 | — | 2 | 4 | no | — |
| 246 | #872 | — | 2 | 4 | no | — |
| 247 | C42×D3 | — | 2 | 4 | no | — |
| 248 | C3×#95 | C23 | 1 | 2 | yes | — |
| 249 | C3⋊#95 | C23 | 1 | 2 | yes | — |
| 250 | C3⋊#95 | C23 | 1 | 2 | yes | — |
| 251 | C3⋊#95 | C23 | 1 | 2 | yes | — |
| 252 | C3⋊#95 | C23 | 1 | 4 | yes | — |
| 253 | C3⋊#95 | C23 | 1 | 4 | yes | — |
| 254 | C2×H(5,𝔽2) | — | 6 | 8 | no | — |
| 255 | C2×H(5,𝔽2) | — | 6 | 8 | no | — |
| 256 | C2×H(5,𝔽2) | — | 6 | 8 | no | — |
| 257 | C22×#41 | — | 3 | 1 | no | — |
| 258 | C22×#41 | — | 3 | 2 | no | — |
| 259 | C22×#41 | — | 3 | 1 | no | — |
| 260 | C22×#41 | — | 3 | 1 | no | — |
| 261 | C22×#41 | — | 3 | 1 | no | — |
| 262 | C23×D4 | — | 3 | 1 | no | — |
| 263 | C23×D4 | — | 3 | 2 | no | — |
| 264 | C23×D4 | — | 3 | 2 | no | — |
| 265 | C23×D4 | — | 3 | 2 | no | — |
| 266 | C23×D4 | — | 3 | 1 | no | — |
| 267 | C23×D4 | — | 3 | 1 | no | — |
| 268 | C23×D4 | — | 3 | 4 | no | — |
| 269 | C23×D4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 270 | #535 | — | 6 | 8 | no | — |
| 271 | #535 | — | 6 | 8 | no | — |
| 272 | C2×#127 | — | 3 | 4 | no | — |
| 273 | C2×#127 | — | 3 | 1 | no | — |
| 274 | C2×#127 | — | 3 | 1 | no | — |
| 275 | C2×#127 | — | 3 | 2 | no | — |
| 276 | C2×#127 | — | 3 | 1 | no | — |
| 277 | C2×#127 | — | 3 | 1 | no | — |
| 278 | C2×#127 | — | 6 | 8 | no | — |
| 279 | C2×#127 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 280 | C2×#127 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 281 | C2×#124 | — | 3 | 1 | no | — |
| 282 | C2×#124 | — | 3 | 2 | no | — |
| 283 | C2×#124 | — | 3 | 1 | no | — |
| 284 | C2×#121 | — | 3 | 1 | no | — |
| 285 | C2×#121 | — | 3 | 4 | no | — |
| 286 | C2×#121 | — | 3 | 1 | no | — |
| 287 | C2×#121 | — | 3 | 1 | no | — |
| 288 | C2×#121 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 289 | C2×#120 | — | 3 | 4 | no | — |
| 290 | C2×#120 | — | 3 | 2 | no | — |
| 291 | C2×#120 | — | 3 | 4 | no | — |
| 292 | C2×#120 | — | 3 | 4 | no | — |
| 293 | C2×#120 | — | 3 | 2 | no | — |
| 294 | C2×#120 | — | 3 | 4 | no | — |
| 295 | C2×#120 | C2×D3 | 1 | 4 | yes | complemented |
| 296 | C2×#117 | — | 3 | 1 | no | — |
| 297 | C2×#117 | — | 3 | 1 | no | — |
| 298 | C22×C42 | — | 3 | 1 | no | — |
| 299 | #392 | — | 3 | 4 | no | — |
| 300 | #392 | — | 3 | 4 | no | — |
| 301 | #392 | — | 3 | 4 | no | — |
| 302 | #392 | — | 3 | 4 | no | — |
| 303 | #392 | — | 3 | 4 | no | — |
| 304 | #392 | — | 3 | 4 | no | — |
| 305 | #392 | — | 3 | 4 | no | — |
| 306 | #392 | C2×D3 | 1 | 4 | yes | complemented |
| 307 | #391 | — | 3 | 1 | no | — |
| 308 | #391 | — | 3 | 1 | no | — |
| 309 | #391 | — | 3 | 2 | no | — |
| 310 | #390 | — | 3 | 1 | no | — |
| 311 | #390 | — | 3 | 1 | no | — |
| 312 | #390 | — | 3 | 1 | no | — |
| 313 | #390 | — | 3 | 4 | no | — |
| 314 | #390 | — | 3 | 2 | no | — |
| 315 | #390 | — | 3 | 1 | no | — |
| 316 | #390 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 317 | #390 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 318 | #386 | — | 3 | 4 | no | — |
| 319 | #386 | — | 3 | 4 | no | — |
| 320 | #386 | — | 3 | 2 | no | — |
| 321 | #386 | — | 3 | 4 | no | — |
| 322 | #386 | — | 3 | 4 | no | — |
| 323 | #386 | — | 3 | 2 | no | — |
| 324 | #386 | — | 3 | 4 | no | — |
| 325 | #379 | — | 3 | 4 | no | — |
| 326 | C4×C22⋊C4 | — | 3 | 1 | no | — |
| 327 | C4×C22⋊C4 | — | 3 | 4 | no | — |
| 328 | C4×C22⋊C4 | — | 3 | 1 | no | — |
| 329 | C4×C22⋊C4 | — | 3 | 1 | no | — |
| 330 | C4×C22⋊C4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 331 | C24×C3 | — | 2 | 4 | no | — |
| 332 | C24×C3 | — | 2 | 4 | no | — |
| 333 | C24×C3 | — | 2 | 4 | no | — |
| 334 | C24×C3 | — | 4 | 4 | no | — |
| 335 | C24×C3 | — | 4 | 4 | no | — |
| 336 | C24×C3 | C24 | 1 | 2 | yes | — |
| 337 | C24×C3 | C24 | 1 | 1 | yes | characteristic |
| 338 | C24×C3 | C24 | 1 | 2 | yes | — |
| 339 | C24×C3 | C24 | 1 | 2 | yes | — |
| 340 | C23×D3 | — | 2 | 4 | no | — |
| 341 | C23×D3 | — | 2 | 4 | no | — |
| 342 | C23×D3 | — | 2 | 4 | no | — |
| 343 | C23×D3 | — | 2 | 4 | no | — |
| 344 | C23×D3 | — | 2 | 4 | no | — |
| 345 | C23×D3 | — | 2 | 4 | no | — |
| 346 | C23×D3 | — | 2 | 4 | no | — |
| 347 | C23×D3 | — | 2 | 4 | no | — |
| 348 | C23×D3 | — | 4 | 4 | no | — |
| 349 | C23×D3 | — | 4 | 4 | no | — |
| 350 | C23×D3 | — | 4 | 4 | no | — |
| 351 | C23×D3 | — | 4 | 4 | no | — |
| 352 | C23×D3 | — | 4 | 4 | no | — |
| 353 | C23×D3 | — | 4 | 4 | no | — |
| 354 | C23×D3 | C2×D4 | 1 | 8 | yes | — |
| 355 | C23×D3 | C24 | 1 | 2 | yes | — |
| 356 | C23×D3 | C24 | 1 | 1 | yes | characteristic |
| 357 | C23×D3 | C24 | 1 | 2 | yes | — |
| 358 | C23×D3 | C24 | 1 | 1 | yes | characteristic |
| 359 | C2×C3×D4 | — | 2 | 32 | no | — |
| 360 | C2×C3×D4 | — | 2 | 4 | no | — |
| 361 | C2×C3×D4 | — | 2 | 4 | no | — |
| 362 | C2×C3×D4 | — | 2 | 8 | no | — |
| 363 | C2×C3×D4 | — | 2 | 8 | no | — |
| 364 | C2×C3×D4 | — | 2 | 4 | no | — |
| 365 | C2×C3×D4 | — | 2 | 4 | no | — |
| 366 | C2×C3×D4 | — | 2 | 2 | no | — |
| 367 | C2×C3×D4 | — | 2 | 2 | no | — |
| 368 | C2×C3×D4 | — | 2 | 2 | no | — |
| 369 | C2×C3×D4 | — | 2 | 2 | no | — |
| 370 | C2×C3×D4 | — | 2 | 2 | no | — |
| 371 | C2×C3×D4 | — | 2 | 2 | no | — |
| 372 | C2×C3×D4 | — | 2 | 2 | no | — |
| 373 | C2×C3×D4 | — | 2 | 8 | no | — |
| 374 | C2×C3×D4 | — | 4 | 4 | no | — |
| 375 | C2×C3×D4 | — | 4 | 4 | no | — |
| 376 | C2×C3×D4 | — | 4 | 4 | no | — |
| 377 | C2×C3×D4 | — | 4 | 4 | no | — |
| 378 | C2×C3×D4 | C2×D4 | 1 | 4 | yes | — |
| 379 | C2×C3×D4 | C2×D4 | 1 | 4 | yes | complemented |
| 380 | C22×C3×C4 | — | 2 | 2 | no | — |
| 381 | C22×C3×C4 | — | 2 | 2 | no | — |
| 382 | C22×C3×C4 | C2×D4 | 1 | 4 | yes | complemented |
| 383 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 384 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 385 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 386 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 387 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 388 | C2×#67 | — | 2 | 64 | no | — |
| 389 | C2×#67 | — | 2 | 64 | no | — |
| 390 | C2×#67 | — | 2 | 4 | no | — |
| 391 | C2×#67 | — | 2 | 4 | no | — |
| 392 | C2×#67 | — | 2 | 4 | no | — |
| 393 | C2×#67 | — | 2 | 4 | no | — |
| 394 | C2×#67 | — | 2 | 2 | no | — |
| 395 | C2×#67 | — | 2 | 2 | no | — |
| 396 | C2×#67 | — | 2 | 4 | no | — |
| 397 | C2×#67 | — | 2 | 4 | no | — |
| 398 | C2×#67 | — | 2 | 4 | no | — |
| 399 | C2×#67 | — | 2 | 4 | no | — |
| 400 | C2×#67 | — | 2 | 8 | no | — |
| 401 | C2×#67 | — | 2 | 8 | no | — |
| 402 | C2×#67 | — | 2 | 4 | no | — |
| 403 | C2×#67 | — | 2 | 8 | no | — |
| 404 | C2×#67 | — | 2 | 4 | no | — |
| 405 | C2×#67 | — | 2 | 4 | no | — |
| 406 | C2×#67 | — | 2 | 2 | no | — |
| 407 | C2×#67 | — | 2 | 2 | no | — |
| 408 | C2×#67 | — | 2 | 4 | no | — |
| 409 | C2×#67 | — | 2 | 4 | no | — |
| 410 | C2×#67 | — | 2 | 4 | no | — |
| 411 | C2×#67 | — | 2 | 4 | no | — |
| 412 | C2×#67 | — | 2 | 4 | no | — |
| 413 | C2×#67 | — | 2 | 4 | no | — |
| 414 | C2×#67 | — | 2 | 4 | no | — |
| 415 | C2×#67 | — | 2 | 8 | no | — |
| 416 | C2×#67 | — | 2 | 8 | no | — |
| 417 | C2×#67 | — | 4 | 4 | no | — |
| 418 | C2×#67 | — | 4 | 4 | no | — |
| 419 | C2×#67 | — | 4 | 4 | no | — |
| 420 | C2×#67 | — | 4 | 4 | no | — |
| 421 | C2×#67 | — | 4 | 4 | no | — |
| 422 | C2×#67 | — | 4 | 4 | no | — |
| 423 | C2×#67 | C2×D4 | 1 | 4 | yes | — |
| 424 | C2×#67 | C2×D4 | 1 | 8 | yes | — |
| 425 | C2×#67 | C2×D4 | 1 | 8 | yes | — |
| 426 | C2×#67 | C2×D4 | 1 | 4 | yes | complemented |
| 427 | C22×Dic3 | — | 2 | 4 | no | — |
| 428 | C22×Dic3 | — | 2 | 4 | no | — |
| 429 | C22×Dic3 | — | 2 | 4 | no | — |
| 430 | C22×Dic3 | — | 2 | 4 | no | — |
| 431 | C22×Dic3 | — | 2 | 4 | no | — |
| 432 | C22×Dic3 | C2×D4 | 1 | 8 | yes | complemented |
| 433 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 434 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 435 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 436 | C22×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 437 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 438 | C22×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 439 | #237 | — | 2 | 32 | no | — |
| 440 | #237 | — | 2 | 64 | no | — |
| 441 | #237 | — | 2 | 32 | no | — |
| 442 | D3×D4 | — | 2 | 64 | no | — |
| 443 | D3×D4 | — | 2 | 32 | no | — |
| 444 | D3×D4 | — | 2 | 32 | no | — |
| 445 | D3×D4 | — | 4 | 64 | no | — |
| 446 | D3×D4 | — | 4 | 16 | no | — |
| 447 | #235 | — | 2 | 32 | no | — |
| 448 | #235 | — | 2 | 32 | no | — |
| 449 | C2×D12 | — | 2 | 2 | no | — |
| 450 | C2×D12 | — | 2 | 2 | no | — |
| 451 | C2×D12 | — | 2 | 2 | no | — |
| 452 | C2×D12 | — | 2 | 2 | no | — |
| 453 | C2×D12 | — | 2 | 8 | no | — |
| 454 | C2×D12 | — | 2 | 2 | no | — |
| 455 | C2×D12 | — | 2 | 2 | no | — |
| 456 | C2×D12 | — | 2 | 2 | no | — |
| 457 | C2×D12 | — | 2 | 8 | no | — |
| 458 | C2×D12 | — | 2 | 4 | no | — |
| 459 | C2×D12 | — | 4 | 4 | no | — |
| 460 | C2×D12 | — | 4 | 4 | no | — |
| 461 | C2×D12 | C2×D4 | 1 | 4 | yes | — |
| 462 | C2×D12 | C2×D4 | 1 | 4 | yes | — |
| 463 | C2×C4×D3 | — | 2 | 4 | no | — |
| 464 | C2×C4×D3 | — | 2 | 4 | no | — |
| 465 | C2×C4×D3 | — | 2 | 4 | no | — |
| 466 | C2×C4×D3 | — | 2 | 2 | no | — |
| 467 | C2×C4×D3 | — | 2 | 2 | no | — |
| 468 | C2×C4×D3 | — | 2 | 4 | no | — |
| 469 | C2×C4×D3 | — | 2 | 4 | no | — |
| 470 | C2×C4×D3 | — | 2 | 4 | no | — |
| 471 | C2×C4×D3 | C2×D4 | 1 | 4 | yes | — |
| 472 | C2×C4×D3 | C2×D4 | 1 | 4 | yes | — |
| 473 | C2×C4×D3 | C2×D4 | 1 | 4 | yes | — |
| 474 | C2×C4×D3 | C2×D4 | 1 | 4 | yes | complemented |
| 475 | C2×Dic6 | — | 2 | 2 | no | — |
| 476 | C2×Dic6 | — | 2 | 2 | no | — |
| 477 | C2×Dic6 | — | 2 | 2 | no | — |
| 478 | C2×Dic6 | — | 2 | 2 | no | — |
| 479 | C2×Dic6 | C2×D4 | 1 | 4 | yes | complemented |
| 480 | C2×Dic6 | C2×D4 | 1 | 4 | yes | complemented |
| 481 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 482 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 483 | C3×C22⋊C4 | — | 2 | 8 | no | — |
| 484 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 485 | C3×C22⋊C4 | — | 4 | 4 | no | — |
| 486 | C3×C42 | — | 2 | 2 | no | — |
| 487 | C3×C42 | — | 2 | 2 | no | — |
| 488 | #217 | — | 2 | 4 | no | — |
| 489 | #217 | — | 2 | 8 | no | — |
| 490 | #217 | — | 2 | 8 | no | — |
| 491 | #217 | — | 2 | 4 | no | — |
| 492 | #217 | — | 4 | 4 | no | — |
| 493 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 494 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 495 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 496 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 497 | (C2×D3)⋊C4 | — | 2 | 8 | no | — |
| 498 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 499 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 500 | (C2×D3)⋊C4 | — | 4 | 4 | no | — |
| 501 | (C2×D3)⋊C4 | — | 4 | 4 | no | — |
| 502 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 503 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 504 | C4×Dic3 | — | 2 | 2 | no | — |
| 505 | C4×Dic3 | — | 2 | 2 | no | — |
| 506 | C4×Dic3 | — | 2 | 4 | no | — |
| 507 | C4×Dic3 | — | 2 | 4 | no | — |
| 508 | C25 | — | 3 | 2 | no | — |
| 509 | C25 | — | 3 | 2 | no | — |
| 510 | C25 | — | 3 | 2 | no | — |
| 511 | C25 | C22×D3 | 1 | 2 | yes | — |
| 512 | H(5,𝔽2) | — | 6 | 128 | no | — |
| 513 | C2×#41 | — | 3 | 8 | no | — |
| 514 | C2×#41 | — | 3 | 8 | no | — |
| 515 | C2×#41 | — | 6 | 4 | no | — |
| 516 | C2×#41 | — | 6 | 4 | no | — |
| 517 | C2×#41 | — | 6 | 4 | no | — |
| 518 | C2×#41 | — | 6 | 4 | no | — |
| 519 | C2×#41 | — | 6 | 4 | no | — |
| 520 | C2×#41 | — | 6 | 4 | no | — |
| 521 | C2×#41 | — | 6 | 8 | no | — |
| 522 | C2×#41 | — | 6 | 4 | no | — |
| 523 | C2×#41 | — | 6 | 8 | no | — |
| 524 | C2×#41 | — | 6 | 8 | no | — |
| 525 | C2×#41 | — | 6 | 4 | no | — |
| 526 | C2×#41 | — | 6 | 4 | no | — |
| 527 | C2×#41 | — | 6 | 4 | no | — |
| 528 | C22×Q8 | — | 3 | 1 | no | — |
| 529 | C22×Q8 | — | 3 | 1 | no | — |
| 530 | C22×D4 | — | 2 | 4 | no | — |
| 531 | C22×D4 | — | 2 | 4 | no | — |
| 532 | C22×D4 | — | 2 | 4 | no | — |
| 533 | C22×D4 | — | 3 | 2 | no | — |
| 534 | C22×D4 | — | 3 | 1 | no | — |
| 535 | C22×D4 | — | 3 | 2 | no | — |
| 536 | C22×D4 | — | 3 | 1 | no | — |
| 537 | C22×D4 | — | 3 | 8 | no | — |
| 538 | C22×D4 | — | 3 | 2 | no | — |
| 539 | C22×D4 | — | 3 | 2 | no | — |
| 540 | C22×D4 | — | 3 | 2 | no | — |
| 541 | C22×D4 | — | 3 | 2 | no | — |
| 542 | C22×D4 | — | 3 | 4 | no | — |
| 543 | C22×D4 | — | 3 | 4 | no | — |
| 544 | C22×D4 | — | 3 | 2 | no | — |
| 545 | C22×D4 | — | 3 | 4 | no | — |
| 546 | C22×D4 | — | 3 | 2 | no | — |
| 547 | C22×D4 | — | 3 | 1 | no | — |
| 548 | C22×D4 | — | 3 | 1 | no | — |
| 549 | C22×D4 | — | 3 | 1 | no | — |
| 550 | C22×D4 | — | 3 | 4 | no | — |
| 551 | C22×D4 | — | 3 | 2 | no | — |
| 552 | C22×D4 | — | 6 | 4 | no | — |
| 553 | C22×D4 | — | 6 | 4 | no | — |
| 554 | C22×D4 | — | 6 | 4 | no | — |
| 555 | C22×D4 | — | 6 | 4 | no | — |
| 556 | C22×D4 | — | 6 | 4 | no | — |
| 557 | C22×D4 | — | 6 | 4 | no | — |
| 558 | C22×D4 | — | 6 | 8 | no | — |
| 559 | C22×D4 | — | 6 | 8 | no | — |
| 560 | C22×D4 | — | 6 | 8 | no | — |
| 561 | C22×D4 | — | 6 | 4 | no | — |
| 562 | C22×D4 | — | 6 | 8 | no | — |
| 563 | C22×D4 | — | 6 | 16 | no | — |
| 564 | C22×D4 | — | 6 | 8 | no | — |
| 565 | C22×D4 | — | 6 | 8 | no | — |
| 566 | C22×D4 | — | 6 | 8 | no | — |
| 567 | C22×D4 | — | 6 | 8 | no | — |
| 568 | C22×D4 | — | 6 | 8 | no | — |
| 569 | C22×D4 | — | 6 | 4 | no | — |
| 570 | C22×D4 | — | 12 | 8 | no | — |
| 571 | C22×D4 | — | 12 | 8 | no | — |
| 572 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 573 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 574 | C22×D4 | C22×D3 | 1 | 4 | yes | — |
| 575 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 576 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 577 | C22×D4 | C22×D3 | 1 | 4 | yes | — |
| 578 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 579 | C23×C4 | — | 3 | 1 | no | — |
| 580 | C23×C4 | — | 3 | 2 | no | — |
| 581 | C23×C4 | — | 3 | 1 | no | — |
| 582 | C23×C4 | — | 3 | 2 | no | — |
| 583 | C23×C4 | — | 3 | 2 | no | — |
| 584 | C23×C4 | — | 3 | 2 | no | — |
| 585 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 586 | #127 | — | 2 | 4 | no | — |
| 587 | #127 | — | 2 | 4 | no | — |
| 588 | #127 | — | 6 | 4 | no | — |
| 589 | #127 | — | 6 | 16 | no | — |
| 590 | #127 | — | 6 | 4 | no | — |
| 591 | #127 | — | 6 | 8 | no | — |
| 592 | #127 | — | 6 | 4 | no | — |
| 593 | #127 | — | 6 | 4 | no | — |
| 594 | #124 | — | 6 | 4 | no | — |
| 595 | #124 | — | 6 | 8 | no | — |
| 596 | #124 | — | 6 | 4 | no | — |
| 597 | #121 | — | 2 | 4 | no | — |
| 598 | #121 | — | 6 | 4 | no | — |
| 599 | #121 | — | 6 | 4 | no | — |
| 600 | #121 | — | 6 | 16 | no | — |
| 601 | #121 | — | 6 | 4 | no | — |
| 602 | #120 | — | 4 | 8 | no | — |
| 603 | #120 | — | 6 | 8 | no | — |
| 604 | #120 | — | 6 | 8 | no | — |
| 605 | #120 | — | 6 | 16 | no | — |
| 606 | #120 | — | 12 | 8 | no | — |
| 607 | #120 | — | 12 | 8 | no | — |
| 608 | #120 | — | 12 | 8 | no | — |
| 609 | #117 | — | 6 | 4 | no | — |
| 610 | #117 | — | 6 | 4 | no | — |
| 611 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 612 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 613 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 614 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 615 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 616 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 617 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 618 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 619 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 620 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 621 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 622 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 623 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 624 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 625 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 626 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 627 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 628 | C2×C22⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 629 | C2×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 630 | C2×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 631 | C2×C22⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 632 | C2×C42 | — | 3 | 2 | no | — |
| 633 | C2×C42 | — | 3 | 1 | no | — |
| 634 | C2×C42 | — | 3 | 2 | no | — |
| 635 | C2×C42 | — | 3 | 1 | no | — |
| 636 | C2×C42 | — | 6 | 4 | no | — |
| 637 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 638 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 639 | #95 | — | 3 | 4 | no | — |
| 640 | #95 | — | 3 | 2 | no | — |
| 641 | #95 | — | 3 | 2 | no | — |
| 642 | #95 | — | 3 | 2 | no | — |
| 643 | #95 | — | 3 | 4 | no | — |
| 644 | #95 | C22×D3 | 1 | 2 | yes | — |
| 645 | C23×C3 | — | 2 | 16 | no | — |
| 646 | C23×C3 | — | 2 | 2 | no | — |
| 647 | C23×C3 | — | 2 | 2 | no | — |
| 648 | C23×C3 | — | 2 | 2 | no | — |
| 649 | C23×C3 | — | 2 | 2 | no | — |
| 650 | C23×C3 | — | 2 | 1 | no | — |
| 651 | C23×C3 | — | 2 | 1 | no | — |
| 652 | C23×C3 | — | 2 | 2 | no | — |
| 653 | C23×C3 | — | 2 | 4 | no | — |
| 654 | C23×C3 | — | 2 | 4 | no | — |
| 655 | C23×C3 | — | 2 | 4 | no | — |
| 656 | C23×C3 | — | 2 | 2 | no | — |
| 657 | C23×C3 | — | 2 | 4 | no | — |
| 658 | C23×C3 | — | 2 | 2 | no | — |
| 659 | C23×C3 | — | 2 | 2 | no | — |
| 660 | C23×C3 | — | 2 | 2 | no | — |
| 661 | C23×C3 | — | 2 | 4 | no | — |
| 662 | C23×C3 | — | 2 | 4 | no | — |
| 663 | C23×C3 | — | 8 | 8 | no | — |
| 664 | C23×C3 | — | 8 | 4 | no | — |
| 665 | C23×C3 | — | 8 | 8 | no | — |
| 666 | C23×C3 | — | 8 | 4 | no | — |
| 667 | C23×C3 | C22×D4 | 1 | 4 | yes | — |
| 668 | C23×C3 | C22×D4 | 1 | 4 | yes | — |
| 669 | C23×C3 | C22×D4 | 1 | 2 | yes | — |
| 670 | C23×C3 | C25 | 1 | 1 | yes | characteristic |
| 671 | C22×D3 | — | 2 | 2 | no | — |
| 672 | C22×D3 | — | 2 | 2 | no | — |
| 673 | C22×D3 | — | 2 | 1 | no | — |
| 674 | C22×D3 | — | 2 | 2 | no | — |
| 675 | C22×D3 | — | 2 | 1 | no | — |
| 676 | C22×D3 | — | 2 | 2 | no | — |
| 677 | C22×D3 | — | 2 | 2 | no | — |
| 678 | C22×D3 | — | 2 | 2 | no | — |
| 679 | C22×D3 | — | 2 | 4 | no | — |
| 680 | C22×D3 | — | 2 | 4 | no | — |
| 681 | C22×D3 | — | 2 | 16 | no | — |
| 682 | C22×D3 | — | 2 | 16 | no | — |
| 683 | C22×D3 | — | 2 | 2 | no | — |
| 684 | C22×D3 | — | 2 | 2 | no | — |
| 685 | C22×D3 | — | 2 | 2 | no | — |
| 686 | C22×D3 | — | 2 | 4 | no | — |
| 687 | C22×D3 | — | 2 | 4 | no | — |
| 688 | C22×D3 | — | 4 | 16 | no | — |
| 689 | C22×D3 | — | 4 | 16 | no | — |
| 690 | C22×D3 | — | 4 | 8 | no | — |
| 691 | C22×D3 | — | 8 | 4 | no | — |
| 692 | C22×D3 | — | 8 | 8 | no | — |
| 693 | C22×D3 | — | 8 | 4 | no | — |
| 694 | C22×D3 | — | 8 | 4 | no | — |
| 695 | C22×D3 | — | 8 | 4 | no | — |
| 696 | C22×D3 | — | 8 | 8 | no | — |
| 697 | C22×D3 | — | 8 | 8 | no | — |
| 698 | C22×D3 | — | 8 | 4 | no | — |
| 699 | C22×D3 | — | 8 | 4 | no | — |
| 700 | C22×D3 | — | 8 | 8 | no | — |
| 701 | C22×D3 | C22×D4 | 1 | 4 | yes | — |
| 702 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 703 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 704 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 705 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 706 | C3×D4 | — | 2 | 16 | no | — |
| 707 | C3×D4 | — | 2 | 8 | no | — |
| 708 | C3×D4 | — | 2 | 8 | no | — |
| 709 | C3×D4 | — | 4 | 16 | no | — |
| 710 | C3×D4 | — | 4 | 4 | no | — |
| 711 | C3×D4 | — | 8 | 4 | no | — |
| 712 | C3×D4 | — | 8 | 8 | no | — |
| 713 | C2×C3×C4 | — | 2 | 2 | no | — |
| 714 | C2×C3×C4 | — | 2 | 1 | no | — |
| 715 | C2×C3×C4 | — | 2 | 1 | no | — |
| 716 | C2×C3×C4 | — | 2 | 2 | no | — |
| 717 | C2×C3×C4 | — | 2 | 8 | no | — |
| 718 | C2×C3×C4 | — | 2 | 2 | no | — |
| 719 | C2×C3×C4 | — | 2 | 2 | no | — |
| 720 | C2×C3×C4 | — | 2 | 2 | no | — |
| 721 | C2×C3×C4 | — | 2 | 4 | no | — |
| 722 | C2×C3×C4 | — | 2 | 2 | no | — |
| 723 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 724 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 725 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 726 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 727 | C2×C3×C4 | H(5,𝔽2) | 1 | 4 | yes | complemented |
| 728 | #67 | — | 2 | 16 | no | — |
| 729 | #67 | — | 2 | 16 | no | — |
| 730 | #67 | — | 2 | 16 | no | — |
| 731 | #67 | — | 2 | 8 | no | — |
| 732 | #67 | — | 2 | 16 | no | — |
| 733 | #67 | — | 2 | 8 | no | — |
| 734 | #67 | — | 2 | 16 | no | — |
| 735 | #67 | — | 4 | 16 | no | — |
| 736 | #67 | — | 4 | 16 | no | — |
| 737 | #67 | — | 4 | 8 | no | — |
| 738 | #67 | — | 8 | 4 | no | — |
| 739 | #67 | — | 8 | 4 | no | — |
| 740 | #67 | — | 8 | 8 | no | — |
| 741 | C2×Dic3 | — | 2 | 16 | no | — |
| 742 | C2×Dic3 | — | 2 | 2 | no | — |
| 743 | C2×Dic3 | — | 2 | 2 | no | — |
| 744 | C2×Dic3 | — | 2 | 1 | no | — |
| 745 | C2×Dic3 | — | 2 | 2 | no | — |
| 746 | C2×Dic3 | — | 2 | 1 | no | — |
| 747 | C2×Dic3 | — | 2 | 2 | no | — |
| 748 | C2×Dic3 | — | 2 | 16 | no | — |
| 749 | C2×Dic3 | — | 2 | 2 | no | — |
| 750 | C2×Dic3 | — | 2 | 2 | no | — |
| 751 | C2×Dic3 | — | 2 | 2 | no | — |
| 752 | C2×Dic3 | — | 2 | 4 | no | — |
| 753 | C2×Dic3 | — | 2 | 2 | no | — |
| 754 | C2×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 755 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 756 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 757 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 758 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 759 | C2×Dic3 | H(5,𝔽2) | 1 | 4 | yes | complemented |
| 760 | D12 | — | 2 | 8 | no | — |
| 761 | D12 | — | 2 | 8 | no | — |
| 762 | D12 | — | 4 | 16 | no | — |
| 763 | D12 | — | 4 | 4 | no | — |
| 764 | D12 | — | 8 | 4 | no | — |
| 765 | C4×D3 | — | 2 | 16 | no | — |
| 766 | C4×D3 | — | 2 | 16 | no | — |
| 767 | C4×D3 | — | 2 | 8 | no | — |
| 768 | C4×D3 | #120 | 1 | 16 | yes | complemented |
| 769 | Dic6 | — | 2 | 8 | no | — |
| 770 | Dic6 | — | 2 | 8 | no | — |
| 771 | C24 | — | 2 | 4 | no | — |
| 772 | C24 | — | 2 | 4 | no | — |
| 773 | C24 | — | 2 | 4 | no | — |
| 774 | C24 | — | 3 | 1 | no | — |
| 775 | C24 | — | 3 | 1 | no | — |
| 776 | C24 | — | 3 | 2 | no | — |
| 777 | C24 | — | 3 | 8 | no | — |
| 778 | C24 | — | 3 | 2 | no | — |
| 779 | C24 | — | 4 | 4 | no | — |
| 780 | C24 | — | 4 | 4 | no | — |
| 781 | C24 | — | 6 | 4 | no | — |
| 782 | C24 | — | 6 | 4 | no | — |
| 783 | C24 | — | 6 | 4 | no | — |
| 784 | C24 | — | 6 | 4 | no | — |
| 785 | C24 | — | 6 | 4 | no | — |
| 786 | C24 | — | 6 | 4 | no | — |
| 787 | C24 | — | 6 | 4 | no | — |
| 788 | C24 | — | 6 | 4 | no | — |
| 789 | C24 | — | 12 | 4 | no | — |
| 790 | C24 | — | 12 | 4 | no | — |
| 791 | C24 | — | 12 | 4 | no | — |
| 792 | C24 | — | 12 | 4 | no | — |
| 793 | C24 | — | 12 | 4 | no | — |
| 794 | C24 | — | 12 | 4 | no | — |
| 795 | C24 | C23×D3 | 1 | 2 | yes | — |
| 796 | C24 | C23×D3 | 1 | 2 | yes | — |
| 797 | C24 | C23×D3 | 1 | 2 | yes | — |
| 798 | C24 | C23×D3 | 1 | 1 | yes | characteristic |
| 799 | #41 | — | 6 | 32 | no | — |
| 800 | #41 | — | 6 | 32 | no | — |
| 801 | #41 | — | 6 | 32 | no | — |
| 802 | #41 | — | 6 | 64 | no | — |
| 803 | #41 | — | 6 | 32 | no | — |
| 804 | C2×Q8 | — | 3 | 4 | no | — |
| 805 | C2×Q8 | — | 3 | 4 | no | — |
| 806 | C2×Q8 | — | 6 | 2 | no | — |
| 807 | C2×Q8 | — | 6 | 2 | no | — |
| 808 | C2×Q8 | — | 6 | 2 | no | — |
| 809 | C2×Q8 | — | 6 | 2 | no | — |
| 810 | C2×D4 | — | 2 | 32 | no | — |
| 811 | C2×D4 | — | 2 | 4 | no | — |
| 812 | C2×D4 | — | 2 | 4 | no | — |
| 813 | C2×D4 | — | 2 | 8 | no | — |
| 814 | C2×D4 | — | 2 | 4 | no | — |
| 815 | C2×D4 | — | 2 | 8 | no | — |
| 816 | C2×D4 | — | 2 | 4 | no | — |
| 817 | C2×D4 | — | 2 | 2 | no | — |
| 818 | C2×D4 | — | 2 | 2 | no | — |
| 819 | C2×D4 | — | 2 | 2 | no | — |
| 820 | C2×D4 | — | 2 | 2 | no | — |
| 821 | C2×D4 | — | 2 | 2 | no | — |
| 822 | C2×D4 | — | 2 | 2 | no | — |
| 823 | C2×D4 | — | 2 | 2 | no | — |
| 824 | C2×D4 | — | 2 | 8 | no | — |
| 825 | C2×D4 | — | 3 | 8 | no | — |
| 826 | C2×D4 | — | 3 | 4 | no | — |
| 827 | C2×D4 | — | 3 | 8 | no | — |
| 828 | C2×D4 | — | 3 | 4 | no | — |
| 829 | C2×D4 | — | 3 | 4 | no | — |
| 830 | C2×D4 | — | 3 | 4 | no | — |
| 831 | C2×D4 | — | 4 | 4 | no | — |
| 832 | C2×D4 | — | 4 | 4 | no | — |
| 833 | C2×D4 | — | 4 | 4 | no | — |
| 834 | C2×D4 | — | 4 | 4 | no | — |
| 835 | C2×D4 | — | 6 | 2 | no | — |
| 836 | C2×D4 | — | 6 | 2 | no | — |
| 837 | C2×D4 | — | 6 | 8 | no | — |
| 838 | C2×D4 | — | 6 | 4 | no | — |
| 839 | C2×D4 | — | 6 | 32 | no | — |
| 840 | C2×D4 | — | 6 | 2 | no | — |
| 841 | C2×D4 | — | 6 | 4 | no | — |
| 842 | C2×D4 | — | 6 | 2 | no | — |
| 843 | C2×D4 | — | 6 | 4 | no | — |
| 844 | C2×D4 | — | 6 | 4 | no | — |
| 845 | C2×D4 | — | 6 | 4 | no | — |
| 846 | C2×D4 | — | 6 | 4 | no | — |
| 847 | C2×D4 | — | 6 | 8 | no | — |
| 848 | C2×D4 | — | 6 | 8 | no | — |
| 849 | C2×D4 | — | 6 | 4 | no | — |
| 850 | C2×D4 | — | 6 | 4 | no | — |
| 851 | C2×D4 | — | 6 | 4 | no | — |
| 852 | C2×D4 | — | 6 | 64 | no | — |
| 853 | C2×D4 | — | 6 | 32 | no | — |
| 854 | C2×D4 | — | 6 | 2 | no | — |
| 855 | C2×D4 | — | 6 | 2 | no | — |
| 856 | C2×D4 | — | 6 | 4 | no | — |
| 857 | C2×D4 | — | 6 | 4 | no | — |
| 858 | C2×D4 | — | 6 | 4 | no | — |
| 859 | C2×D4 | — | 6 | 4 | no | — |
| 860 | C2×D4 | — | 6 | 4 | no | — |
| 861 | C2×D4 | — | 6 | 64 | no | — |
| 862 | C2×D4 | — | 6 | 64 | no | — |
| 863 | C2×D4 | — | 6 | 4 | no | — |
| 864 | C2×D4 | — | 6 | 4 | no | — |
| 865 | C2×D4 | — | 6 | 4 | no | — |
| 866 | C2×D4 | — | 6 | 8 | no | — |
| 867 | C2×D4 | — | 6 | 8 | no | — |
| 868 | C2×D4 | — | 6 | 4 | no | — |
| 869 | C2×D4 | — | 6 | 8 | no | — |
| 870 | C2×D4 | — | 6 | 4 | no | — |
| 871 | C2×D4 | — | 6 | 2 | no | — |
| 872 | C2×D4 | — | 6 | 2 | no | — |
| 873 | C2×D4 | — | 6 | 2 | no | — |
| 874 | C2×D4 | — | 6 | 2 | no | — |
| 875 | C2×D4 | — | 6 | 2 | no | — |
| 876 | C2×D4 | — | 6 | 8 | no | — |
| 877 | C2×D4 | — | 12 | 4 | no | — |
| 878 | C2×D4 | — | 12 | 4 | no | — |
| 879 | C2×D4 | — | 12 | 16 | no | — |
| 880 | C2×D4 | — | 12 | 64 | no | — |
| 881 | C2×D4 | — | 12 | 4 | no | — |
| 882 | C2×D4 | — | 12 | 4 | no | — |
| 883 | C2×D4 | — | 12 | 4 | no | — |
| 884 | C2×D4 | — | 12 | 4 | no | — |
| 885 | C2×D4 | — | 12 | 4 | no | — |
| 886 | C2×D4 | — | 12 | 4 | no | — |
| 887 | C2×D4 | D3×D4 | 1 | 4 | yes | — |
| 888 | C2×D4 | D3×D4 | 1 | 4 | yes | complemented |
| 889 | C22×C4 | — | 2 | 2 | no | — |
| 890 | C22×C4 | — | 2 | 2 | no | — |
| 891 | C22×C4 | — | 3 | 1 | no | — |
| 892 | C22×C4 | — | 3 | 4 | no | — |
| 893 | C22×C4 | — | 3 | 4 | no | — |
| 894 | C22×C4 | — | 3 | 4 | no | — |
| 895 | C22×C4 | — | 3 | 8 | no | — |
| 896 | C22×C4 | — | 3 | 2 | no | — |
| 897 | C22×C4 | — | 3 | 2 | no | — |
| 898 | C22×C4 | — | 3 | 1 | no | — |
| 899 | C22×C4 | — | 3 | 4 | no | — |
| 900 | C22×C4 | — | 3 | 2 | no | — |
| 901 | C22×C4 | — | 3 | 2 | no | — |
| 902 | C22×C4 | — | 6 | 4 | no | — |
| 903 | C22×C4 | — | 6 | 4 | no | — |
| 904 | C22×C4 | — | 6 | 4 | no | — |
| 905 | C22×C4 | — | 6 | 4 | no | — |
| 906 | C22×C4 | — | 6 | 4 | no | — |
| 907 | C22×C4 | — | 6 | 4 | no | — |
| 908 | C22×C4 | — | 6 | 4 | no | — |
| 909 | C22×C4 | — | 6 | 4 | no | — |
| 910 | C22×C4 | — | 6 | 4 | no | — |
| 911 | C22×C4 | — | 6 | 4 | no | — |
| 912 | C22×C4 | — | 6 | 2 | no | — |
| 913 | C22×C4 | — | 6 | 2 | no | — |
| 914 | C22×C4 | — | 6 | 4 | no | — |
| 915 | C22×C4 | D3×D4 | 1 | 4 | yes | complemented |
| 916 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 917 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 918 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 919 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 920 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 921 | C4⋊C4 | — | 2 | 2 | no | — |
| 922 | C4⋊C4 | — | 6 | 4 | no | — |
| 923 | C4⋊C4 | — | 6 | 2 | no | — |
| 924 | C22⋊C4 | — | 2 | 4 | no | — |
| 925 | C22⋊C4 | — | 2 | 4 | no | — |
| 926 | C22⋊C4 | — | 2 | 8 | no | — |
| 927 | C22⋊C4 | — | 4 | 4 | no | — |
| 928 | C22⋊C4 | — | 6 | 8 | no | — |
| 929 | C22⋊C4 | — | 6 | 4 | no | — |
| 930 | C22⋊C4 | — | 6 | 4 | no | — |
| 931 | C22⋊C4 | — | 6 | 4 | no | — |
| 932 | C22⋊C4 | — | 6 | 4 | no | — |
| 933 | C22⋊C4 | — | 6 | 4 | no | — |
| 934 | C22⋊C4 | — | 6 | 8 | no | — |
| 935 | C22⋊C4 | — | 6 | 8 | no | — |
| 936 | C22⋊C4 | — | 6 | 4 | no | — |
| 937 | C22⋊C4 | — | 6 | 4 | no | — |
| 938 | C22⋊C4 | — | 6 | 4 | no | — |
| 939 | C22⋊C4 | — | 12 | 4 | no | — |
| 940 | C22⋊C4 | — | 12 | 4 | no | — |
| 941 | C22⋊C4 | — | 12 | 4 | no | — |
| 942 | C42 | — | 2 | 2 | no | — |
| 943 | C42 | — | 2 | 2 | no | — |
| 944 | C42 | — | 6 | 4 | no | — |
| 945 | C42 | — | 6 | 4 | no | — |
| 946 | C42 | — | 6 | 2 | no | — |
| 947 | C42 | — | 6 | 2 | no | — |
| 948 | C22×C3 | — | 2 | 4 | no | — |
| 949 | C22×C3 | — | 2 | 4 | no | — |
| 950 | C22×C3 | — | 2 | 2 | no | — |
| 951 | C22×C3 | — | 2 | 8 | no | — |
| 952 | C22×C3 | — | 2 | 2 | no | — |
| 953 | C22×C3 | — | 2 | 8 | no | — |
| 954 | C22×C3 | — | 2 | 2 | no | — |
| 955 | C22×C3 | — | 4 | 4 | no | — |
| 956 | C22×C3 | — | 4 | 2 | no | — |
| 957 | C22×C3 | — | 4 | 2 | no | — |
| 958 | C22×C3 | — | 4 | 2 | no | — |
| 959 | C22×C3 | — | 4 | 4 | no | — |
| 960 | C22×C3 | — | 4 | 2 | no | — |
| 961 | C22×C3 | — | 4 | 2 | no | — |
| 962 | C22×C3 | — | 4 | 2 | no | — |
| 963 | C22×C3 | — | 4 | 2 | no | — |
| 964 | C22×C3 | — | 4 | 4 | no | — |
| 965 | C22×C3 | — | 4 | 2 | no | — |
| 966 | C22×C3 | — | 4 | 4 | no | — |
| 967 | C22×C3 | — | 4 | 2 | no | — |
| 968 | C22×C3 | — | 8 | 16 | no | — |
| 969 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 970 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 971 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 972 | C22×C3 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 973 | C22×C3 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 974 | C2×D3 | — | 2 | 4 | no | — |
| 975 | C2×D3 | — | 2 | 2 | no | — |
| 976 | C2×D3 | — | 2 | 4 | no | — |
| 977 | C2×D3 | — | 2 | 2 | no | — |
| 978 | C2×D3 | — | 2 | 4 | no | — |
| 979 | C2×D3 | — | 2 | 2 | no | — |
| 980 | C2×D3 | — | 2 | 8 | no | — |
| 981 | C2×D3 | — | 2 | 2 | no | — |
| 982 | C2×D3 | — | 2 | 2 | no | — |
| 983 | C2×D3 | — | 4 | 2 | no | — |
| 984 | C2×D3 | — | 4 | 2 | no | — |
| 985 | C2×D3 | — | 4 | 2 | no | — |
| 986 | C2×D3 | — | 4 | 4 | no | — |
| 987 | C2×D3 | — | 4 | 2 | no | — |
| 988 | C2×D3 | — | 4 | 2 | no | — |
| 989 | C2×D3 | — | 4 | 4 | no | — |
| 990 | C2×D3 | — | 4 | 2 | no | — |
| 991 | C2×D3 | — | 4 | 2 | no | — |
| 992 | C2×D3 | — | 4 | 4 | no | — |
| 993 | C2×D3 | — | 8 | 16 | no | — |
| 994 | C2×D3 | — | 8 | 16 | no | — |
| 995 | C2×D3 | — | 8 | 16 | no | — |
| 996 | C2×D3 | C2×#120 | 1 | 4 | yes | — |
| 997 | C3×C4 | — | 2 | 2 | no | — |
| 998 | C3×C4 | — | 2 | 4 | no | — |
| 999 | C3×C4 | — | 4 | 2 | no | — |
| 1000 | C3×C4 | — | 4 | 2 | no | — |
| 1001 | C3×C4 | C2×#120 | 1 | 4 | yes | — |
| 1002 | Dic3 | — | 2 | 4 | no | — |
| 1003 | Dic3 | — | 2 | 2 | no | — |
| 1004 | Dic3 | — | 2 | 4 | no | — |
| 1005 | Dic3 | — | 4 | 2 | no | — |
| 1006 | Dic3 | — | 4 | 2 | no | — |
| 1007 | Dic3 | C2×#120 | 1 | 4 | yes | — |
| 1008 | C23 | — | 2 | 16 | no | — |
| 1009 | C23 | — | 2 | 1 | no | — |
| 1010 | C23 | — | 2 | 1 | no | — |
| 1011 | C23 | — | 2 | 2 | no | — |
| 1012 | C23 | — | 2 | 2 | no | — |
| 1013 | C23 | — | 2 | 2 | no | — |
| 1014 | C23 | — | 2 | 2 | no | — |
| 1015 | C23 | — | 2 | 2 | no | — |
| 1016 | C23 | — | 2 | 4 | no | — |
| 1017 | C23 | — | 2 | 4 | no | — |
| 1018 | C23 | — | 2 | 4 | no | — |
| 1019 | C23 | — | 2 | 2 | no | — |
| 1020 | C23 | — | 2 | 4 | no | — |
| 1021 | C23 | — | 2 | 2 | no | — |
| 1022 | C23 | — | 2 | 2 | no | — |
| 1023 | C23 | — | 2 | 2 | no | — |
| 1024 | C23 | — | 2 | 4 | no | — |
| 1025 | C23 | — | 2 | 4 | no | — |
| 1026 | C23 | — | 3 | 2 | no | — |
| 1027 | C23 | — | 3 | 2 | no | — |
| 1028 | C23 | — | 3 | 2 | no | — |
| 1029 | C23 | — | 3 | 2 | no | — |
| 1030 | C23 | — | 3 | 4 | no | — |
| 1031 | C23 | — | 6 | 16 | no | — |
| 1032 | C23 | — | 6 | 16 | no | — |
| 1033 | C23 | — | 6 | 2 | no | — |
| 1034 | C23 | — | 6 | 2 | no | — |
| 1035 | C23 | — | 6 | 2 | no | — |
| 1036 | C23 | — | 6 | 2 | no | — |
| 1037 | C23 | — | 6 | 1 | no | — |
| 1038 | C23 | — | 6 | 1 | no | — |
| 1039 | C23 | — | 6 | 2 | no | — |
| 1040 | C23 | — | 6 | 4 | no | — |
| 1041 | C23 | — | 6 | 2 | no | — |
| 1042 | C23 | — | 6 | 4 | no | — |
| 1043 | C23 | — | 6 | 2 | no | — |
| 1044 | C23 | — | 6 | 2 | no | — |
| 1045 | C23 | — | 6 | 2 | no | — |
| 1046 | C23 | — | 6 | 4 | no | — |
| 1047 | C23 | — | 6 | 4 | no | — |
| 1048 | C23 | — | 8 | 4 | no | — |
| 1049 | C23 | — | 8 | 8 | no | — |
| 1050 | C23 | — | 8 | 8 | no | — |
| 1051 | C23 | — | 8 | 4 | no | — |
| 1052 | C23 | — | 12 | 16 | no | — |
| 1053 | C23 | — | 12 | 8 | no | — |
| 1054 | C23 | — | 12 | 16 | no | — |
| 1055 | C23 | — | 24 | 8 | no | — |
| 1056 | C23 | — | 24 | 4 | no | — |
| 1057 | C23 | — | 24 | 4 | no | — |
| 1058 | C23 | — | 24 | 8 | no | — |
| 1059 | C23 | — | 24 | 8 | no | — |
| 1060 | C23 | — | 24 | 4 | no | — |
| 1061 | C23 | — | 24 | 4 | no | — |
| 1062 | C23 | — | 24 | 4 | no | — |
| 1063 | C23 | — | 24 | 8 | no | — |
| 1064 | C23 | — | 24 | 4 | no | — |
| 1065 | C23 | C2×D3×D4 | 1 | 4 | yes | — |
| 1066 | C23 | C2×D3×D4 | 1 | 4 | yes | — |
| 1067 | C23 | C2×D3×D4 | 1 | 2 | yes | — |
| 1068 | C23 | C24×D3 | 1 | 1 | yes | characteristic |
| 1069 | Q8 | — | 6 | 8 | no | — |
| 1070 | Q8 | — | 6 | 8 | no | — |
| 1071 | D4 | — | 2 | 16 | no | — |
| 1072 | D4 | — | 2 | 8 | no | — |
| 1073 | D4 | — | 2 | 8 | no | — |
| 1074 | D4 | — | 4 | 16 | no | — |
| 1075 | D4 | — | 4 | 4 | no | — |
| 1076 | D4 | — | 6 | 8 | no | — |
| 1077 | D4 | — | 6 | 8 | no | — |
| 1078 | D4 | — | 6 | 16 | no | — |
| 1079 | D4 | — | 6 | 8 | no | — |
| 1080 | D4 | — | 6 | 16 | no | — |
| 1081 | D4 | — | 6 | 16 | no | — |
| 1082 | D4 | — | 6 | 16 | no | — |
| 1083 | D4 | — | 6 | 16 | no | — |
| 1084 | D4 | — | 6 | 8 | no | — |
| 1085 | D4 | — | 8 | 8 | no | — |
| 1086 | D4 | — | 8 | 4 | no | — |
| 1087 | D4 | — | 12 | 16 | no | — |
| 1088 | D4 | — | 12 | 8 | no | — |
| 1089 | D4 | — | 12 | 16 | no | — |
| 1090 | D4 | — | 12 | 16 | no | — |
| 1091 | D4 | — | 12 | 4 | no | — |
| 1092 | D4 | — | 24 | 4 | no | — |
| 1093 | D4 | — | 24 | 4 | no | — |
| 1094 | D4 | — | 24 | 8 | no | — |
| 1095 | D4 | — | 24 | 4 | no | — |
| 1096 | C2×C4 | — | 2 | 2 | no | — |
| 1097 | C2×C4 | — | 2 | 1 | no | — |
| 1098 | C2×C4 | — | 2 | 1 | no | — |
| 1099 | C2×C4 | — | 2 | 2 | no | — |
| 1100 | C2×C4 | — | 2 | 8 | no | — |
| 1101 | C2×C4 | — | 2 | 2 | no | — |
| 1102 | C2×C4 | — | 2 | 2 | no | — |
| 1103 | C2×C4 | — | 2 | 2 | no | — |
| 1104 | C2×C4 | — | 2 | 4 | no | — |
| 1105 | C2×C4 | — | 2 | 2 | no | — |
| 1106 | C2×C4 | — | 3 | 2 | no | — |
| 1107 | C2×C4 | — | 3 | 2 | no | — |
| 1108 | C2×C4 | — | 3 | 2 | no | — |
| 1109 | C2×C4 | — | 3 | 16 | no | — |
| 1110 | C2×C4 | — | 3 | 2 | no | — |
| 1111 | C2×C4 | — | 3 | 4 | no | — |
| 1112 | C2×C4 | — | 3 | 4 | no | — |
| 1113 | C2×C4 | — | 6 | 16 | no | — |
| 1114 | C2×C4 | — | 6 | 16 | no | — |
| 1115 | C2×C4 | — | 6 | 16 | no | — |
| 1116 | C2×C4 | — | 6 | 16 | no | — |
| 1117 | C2×C4 | — | 6 | 2 | no | — |
| 1118 | C2×C4 | — | 6 | 2 | no | — |
| 1119 | C2×C4 | — | 6 | 1 | no | — |
| 1120 | C2×C4 | — | 6 | 2 | no | — |
| 1121 | C2×C4 | — | 6 | 1 | no | — |
| 1122 | C2×C4 | — | 6 | 2 | no | — |
| 1123 | C2×C4 | — | 6 | 8 | no | — |
| 1124 | C2×C4 | — | 6 | 2 | no | — |
| 1125 | C2×C4 | — | 6 | 2 | no | — |
| 1126 | C2×C4 | — | 6 | 2 | no | — |
| 1127 | C2×C4 | — | 6 | 4 | no | — |
| 1128 | C2×C4 | — | 6 | 2 | no | — |
| 1129 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 1130 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 1131 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 1132 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 1133 | C2×C4 | #1004 | 1 | 4 | yes | complemented |
| 1134 | C2×C3 | — | 4 | 4 | no | — |
| 1135 | C2×C3 | — | 4 | 4 | no | — |
| 1136 | C2×C3 | — | 4 | 2 | no | — |
| 1137 | C2×C3 | — | 8 | 2 | no | — |
| 1138 | C2×C3 | C22×#120 | 1 | 1 | yes | characteristic |
| 1139 | C2×C3 | #3484 | 1 | 2 | yes | — |
| 1140 | C2×C3 | #3498 | 1 | 1 | yes | characteristic |
| 1141 | C2×C3 | #3498 | 1 | 2 | yes | — |
| 1142 | C2×C3 | #3498 | 1 | 1 | yes | characteristic |
| 1143 | D3 | — | 2 | 4 | no | — |
| 1144 | D3 | — | 4 | 4 | no | — |
| 1145 | D3 | — | 4 | 2 | no | — |
| 1146 | D3 | — | 8 | 2 | no | — |
| 1147 | C22 | — | 2 | 2 | no | — |
| 1148 | C22 | — | 2 | 8 | no | — |
| 1149 | C22 | — | 2 | 8 | no | — |
| 1150 | C22 | — | 2 | 2 | no | — |
| 1151 | C22 | — | 2 | 4 | no | — |
| 1152 | C22 | — | 2 | 4 | no | — |
| 1153 | C22 | — | 2 | 2 | no | — |
| 1154 | C22 | — | 3 | 4 | no | — |
| 1155 | C22 | — | 4 | 2 | no | — |
| 1156 | C22 | — | 4 | 2 | no | — |
| 1157 | C22 | — | 4 | 2 | no | — |
| 1158 | C22 | — | 4 | 4 | no | — |
| 1159 | C22 | — | 4 | 2 | no | — |
| 1160 | C22 | — | 4 | 4 | no | — |
| 1161 | C22 | — | 4 | 2 | no | — |
| 1162 | C22 | — | 4 | 2 | no | — |
| 1163 | C22 | — | 4 | 2 | no | — |
| 1164 | C22 | — | 4 | 4 | no | — |
| 1165 | C22 | — | 4 | 4 | no | — |
| 1166 | C22 | — | 4 | 2 | no | — |
| 1167 | C22 | — | 4 | 2 | no | — |
| 1168 | C22 | — | 6 | 2 | no | — |
| 1169 | C22 | — | 6 | 4 | no | — |
| 1170 | C22 | — | 6 | 4 | no | — |
| 1171 | C22 | — | 6 | 2 | no | — |
| 1172 | C22 | — | 6 | 2 | no | — |
| 1173 | C22 | — | 6 | 8 | no | — |
| 1174 | C22 | — | 6 | 4 | no | — |
| 1175 | C22 | — | 6 | 2 | no | — |
| 1176 | C22 | — | 6 | 2 | no | — |
| 1177 | C22 | — | 8 | 16 | no | — |
| 1178 | C22 | — | 12 | 2 | no | — |
| 1179 | C22 | — | 12 | 2 | no | — |
| 1180 | C22 | — | 12 | 4 | no | — |
| 1181 | C22 | — | 12 | 2 | no | — |
| 1182 | C22 | — | 12 | 2 | no | — |
| 1183 | C22 | — | 12 | 2 | no | — |
| 1184 | C22 | — | 12 | 4 | no | — |
| 1185 | C22 | — | 12 | 4 | no | — |
| 1186 | C22 | — | 12 | 2 | no | — |
| 1187 | C22 | — | 12 | 2 | no | — |
| 1188 | C22 | — | 24 | 16 | no | — |
| 1189 | C22 | — | 24 | 16 | no | — |
| 1190 | C22 | — | 24 | 16 | no | — |
| 1191 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1192 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1193 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1194 | C22 | C2×#1004 | 1 | 2 | yes | — |
| 1195 | C22 | D3×H(5,𝔽2) | 1 | 2 | yes | — |
| 1196 | C4 | — | 2 | 4 | no | — |
| 1197 | C4 | — | 2 | 2 | no | — |
| 1198 | C4 | — | 3 | 4 | no | — |
| 1199 | C4 | — | 4 | 2 | no | — |
| 1200 | C4 | — | 4 | 2 | no | — |
| 1201 | C4 | — | 6 | 4 | no | — |
| 1202 | C4 | — | 6 | 4 | no | — |
| 1203 | C4 | — | 6 | 2 | no | — |
| 1204 | C4 | — | 12 | 2 | no | — |
| 1205 | C4 | — | 12 | 2 | no | — |
| 1206 | C4 | D3×#120 | 1 | 4 | yes | — |
| 1207 | C3 | #35527 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1208 | C2 | — | 4 | 2 | no | — |
| 1209 | C2 | — | 4 | 4 | no | — |
| 1210 | C2 | — | 4 | 4 | no | — |
| 1211 | C2 | — | 6 | 4 | no | — |
| 1212 | C2 | — | 8 | 2 | no | — |
| 1213 | C2 | — | 12 | 2 | no | — |
| 1214 | C2 | — | 12 | 4 | no | — |
| 1215 | C2 | — | 24 | 2 | no | — |
| 1216 | C2 | C2×D3×#120 | 1 | 1 | yes | characteristic |
| 1217 | C2 | #86195 | 1 | 1 | yes | characteristic |
| 1218 | C2 | #86316 | 1 | 1 | yes | characteristic |
| 1219 | C2 | #86608 | 1 | 2 | yes | — |
| 1220 | C2 | #86620 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C23 | C24×D3 |
| commutator, socle, cosocle | C23×C3 | C25 |
| Fitting | C3×#2433 | C2 |
| hypercenter | #2433 | D3 |
| hypocenter | C3 | #35527 |
| LCS | G ▷ C23×C3 ▷ C3 | |
| UCS | C1 ◁ C23 ◁ #2433 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#1004 | C2 | semidirect |
| 2. C2×#5715 | C2 | semidirect |
| 3. C2×D3×#127 | C2 | semidirect |
| 4. C2×#5607 | C2 | semidirect |
| 5. C3×#2433 | C2 | semidirect |
| 6. #84049 | C2 | semidirect |
| 7. #83187 | C2 | semidirect |
| 8. #83175 | C2 | semidirect |
| 9. #82652 | C2 | semidirect |
| 10. #82604 | C2 | semidirect |
| 11. #82588 | C2 | semidirect |
| 12. #76753 | C2 | semidirect |
| 13. #76672 | C2 | semidirect |
| 14. #76428 | C2 | semidirect |
| 15. #76314 | C2 | semidirect |
| 16. #76313 | C2 | semidirect |
| 17. #76290 | C2 | semidirect |
| 18. #73586 | C2 | semidirect |
| 19. #73563 | C2 | semidirect |
| 21. C23×C3×D4 | C22 | semidirect |
| 23. C23×#67 | C22 | semidirect |
| 28. C22×#237 | C22 | semidirect |
| 29. C22×#237 | C22 | semidirect |
| 32. C22×D3×D4 | C22 | semidirect |
| 33. C22×D3×D4 | C22 | semidirect |
| 34. C22×D3×D4 | C22 | semidirect |
| 36. C22×#235 | C22 | semidirect |
| 37. C2×C3×#127 | C22 | semidirect |
| 38. C2×C3×#127 | C22 | semidirect |
| 39. C2×C3×#121 | C22 | semidirect |
| 40. C2×C3×#120 | C22 | semidirect |
| 41. C2×#953 | C22 | semidirect |
| 42. C2×#940 | C22 | semidirect |
| 43. C2×#940 | C22 | semidirect |
| 44. C2×#940 | C22 | semidirect |
| 45. C2×#940 | C22 | semidirect |
| 46. C2×#940 | C22 | semidirect |
| 47. C2×#939 | C22 | semidirect |
| 48. C2×#938 | C22 | semidirect |
| 49. C2×#937 | C22 | semidirect |
| 50. C2×#937 | C22 | semidirect |
| 51. C2×#937 | C22 | semidirect |
| 52. C2×#936 | C22 | semidirect |
| 53. C2×#930 | C22 | semidirect |
| 57. C2×#895 | C22 | semidirect |
| 58. C2×#892 | C22 | semidirect |
| 59. C2×#885 | C22 | semidirect |
| 60. C2×#882 | C22 | semidirect |
| 61. C2×#882 | C22 | semidirect |
| 62. C2×#875 | C22 | semidirect |
| 63. C2×#874 | C22 | semidirect |
| 64. C2×#872 | C22 | semidirect |
| 65. C2×C42×D3 | C22 | semidirect |
| 66. C3×#392 | C22 | semidirect |
| 67. C3×#390 | C22 | semidirect |
| 68. C3×#390 | C22 | semidirect |
| 69. C3×C4×C22⋊C4 | C22 | semidirect |
| 70. #5223 | C22 | semidirect |
| 71. #5223 | C22 | semidirect |
| 72. #5223 | C22 | semidirect |
| 73. #5223 | C22 | semidirect |
| 74. #5221 | C22 | semidirect |
| 75. #5221 | C22 | semidirect |
| 76. #5220 | C22 | semidirect |
| 77. C4×#217 | C22 | semidirect |
| 78. #4988 | C22 | semidirect |
| 79. #4973 | C22 | semidirect |
| 80. #4960 | C22 | semidirect |
| 81. #4960 | C22 | semidirect |
| 82. #4960 | C22 | semidirect |
| 83. #4958 | C22 | semidirect |
| 84. #4957 | C22 | semidirect |
| 85. #4957 | C22 | semidirect |
| 86. #4956 | C22 | semidirect |
| 87. #4956 | C22 | semidirect |
| 88. #4956 | C22 | semidirect |
| 89. #4955 | C22 | semidirect |
| 90. Dic3×C22⋊C4 | C22 | semidirect |
| 91. #4939 | C22 | semidirect |
| 92. C4×(C2×D3)⋊C4 | C22 | semidirect |
| 93. C4×(C2×D3)⋊C4 | C22 | semidirect |
| 94. #4929 | C22 | semidirect |
| 95. #4665 | C22 | semidirect |
| 96. #4665 | C22 | semidirect |
| 97. #4646 | C22 | semidirect |
| 106. #2433 | D3 | semidirect |
| 162. C2×#237 | D4 | semidirect |
| 177. C2×D3×D4 | D4 | semidirect |
| 183. C2×#235 | D4 | semidirect |
| 269. C23×D4 | C2×D3 | semidirect |
| 279. C2×#127 | C2×D3 | semidirect |
| 280. C2×#127 | C2×D3 | semidirect |
| 288. C2×#121 | C2×D3 | semidirect |
| 295. C2×#120 | C2×D3 | semidirect |
| 306. #392 | C2×D3 | semidirect |
| 316. #390 | C2×D3 | semidirect |
| 317. #390 | C2×D3 | semidirect |
| 330. C4×C22⋊C4 | C2×D3 | semidirect |
| 379. C2×C3×D4 | C2×D4 | semidirect |
| 382. C22×C3×C4 | C2×D4 | semidirect |
| 426. C2×#67 | C2×D4 | semidirect |
| 432. C22×Dic3 | C2×D4 | semidirect |
| 474. C2×C4×D3 | C2×D4 | semidirect |
| 479. C2×Dic6 | C2×D4 | semidirect |
| 480. C2×Dic6 | C2×D4 | semidirect |
| 727. C2×C3×C4 | H(5,𝔽2) | semidirect |
| 759. C2×Dic3 | H(5,𝔽2) | semidirect |
| 768. C4×D3 | #120 | semidirect |
| 888. C2×D4 | D3×D4 | semidirect |
| 915. C22×C4 | D3×D4 | semidirect |
| 1133. C2×C4 | #1004 | semidirect |
| 1207. C3 | #35527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#1004 | 2 |
| C2×#5715 | 2 |
| C2×D3×#127 | 2 |
| C2×#5607 | 2 |
| C3×#2433 | 2 |
| #84049 | 2 |
| #83187 | 2 |
| #83175 | 2 |
| #82652 | 2 |
| #82604 | 2 |
| #82588 | 2 |
| #76753 | 2 |
| #76672 | 2 |
| #76428 | 2 |
| #76314 | 2 |
| #76313 | 2 |
| #76290 | 2 |
| #73586 | 2 |
| #73563 | 2 |
| #35527 | 3 |