Finite Group DatabasebetaFinite Group DatabasebetaOrder 3072.
2787303 conjugacy classes of subgroups; only the 3094 normal subgroups are shown.
This group has 2787303 conjugacy classes of subgroups — too many to draw. Only its 3094 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C24×C22⋊SL(2,𝔽3) | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C23×#5948 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C25×2−1+4 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Sylow |
| 4 | C22×#87545 | C2 | 1 | 28 | yes | maximal, direct product factor |
| 5 | C23×2−1+4⋊C3 | — | 4 | 4 | no | maximal |
| 6 | C2×#87545 | C22 | 1 | 112 | yes | direct product factor |
| 7 | C22×#5948 | C22 | 1 | 14 | yes | complemented |
| 8 | C23×C22⋊SL(2,𝔽3) | C22 | 1 | 1 | yes | characteristic |
| 9 | C23×C22⋊SL(2,𝔽3) | C22 | 1 | 28 | yes | complemented |
| 10 | C23×D4×A4 | — | 4 | 1 | no | maximal |
| 11 | C24×2−1+4 | — | 3 | 112 | no | — |
| 12 | C24×2−1+4 | — | 3 | 4 | no | — |
| 13 | C24×2−1+4 | — | 3 | 8 | no | — |
| 14 | C24×2−1+4 | — | 3 | 4 | no | — |
| 15 | C24×2−1+4 | — | 3 | 28 | no | — |
| 16 | C24×2−1+4 | C2×C3 | 1 | 28 | yes | complemented |
| 17 | C25×#41 | — | 3 | 1 | no | — |
| 18 | C25×#41 | — | 3 | 2 | no | — |
| 19 | C25×#41 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 20 | C26×Q8 | — | 3 | 1 | no | — |
| 21 | C26×Q8 | C2×C3 | 1 | 2 | yes | complemented |
| 22 | C25×A4 | — | 4 | 2 | no | — |
| 23 | #87545 | C23 | 1 | 64 | yes | direct product factor |
| 24 | C2×#5948 | C23 | 1 | 28 | yes | complemented |
| 25 | C22×C22⋊SL(2,𝔽3) | C23 | 1 | 7 | yes | — |
| 26 | C22×C22⋊SL(2,𝔽3) | C23 | 1 | 56 | yes | complemented |
| 27 | C22×2−1+4⋊C3 | — | 4 | 112 | no | — |
| 28 | C23×#41⋊C3 | — | 4 | 4 | no | — |
| 29 | C24×SL(2,𝔽3) | — | 4 | 8 | no | — |
| 30 | C22×D4×A4 | — | 4 | 28 | no | — |
| 31 | C23×C4×A4 | — | 4 | 1 | no | — |
| 32 | C23×2−1+4 | — | 3 | 1344 | no | — |
| 33 | C23×2−1+4 | — | 3 | 112 | no | — |
| 34 | C23×2−1+4 | — | 3 | 224 | no | — |
| 35 | C23×2−1+4 | — | 3 | 12 | no | — |
| 36 | C23×2−1+4 | — | 3 | 336 | no | — |
| 37 | C23×2−1+4 | — | 3 | 2688 | no | — |
| 38 | C23×2−1+4 | — | 3 | 672 | no | — |
| 39 | C23×2−1+4 | — | 3 | 24 | no | — |
| 40 | C23×2−1+4 | — | 3 | 336 | no | — |
| 41 | C23×2−1+4 | — | 3 | 4032 | no | — |
| 42 | C23×2−1+4 | — | 3 | 672 | no | — |
| 43 | C23×2−1+4 | — | 3 | 336 | no | — |
| 44 | C23×2−1+4 | — | 3 | 336 | no | — |
| 45 | C23×2−1+4 | — | 3 | 896 | no | — |
| 46 | C23×2−1+4 | — | 3 | 112 | no | — |
| 47 | C23×2−1+4 | — | 3 | 24 | no | — |
| 48 | C23×2−1+4 | — | 3 | 224 | no | — |
| 49 | C23×2−1+4 | — | 3 | 4 | no | — |
| 50 | C23×2−1+4 | — | 3 | 224 | no | — |
| 51 | C23×2−1+4 | — | 3 | 8 | no | — |
| 52 | C23×2−1+4 | — | 3 | 112 | no | — |
| 53 | C23×2−1+4 | — | 3 | 112 | no | — |
| 54 | C23×2−1+4 | — | 3 | 4 | no | — |
| 55 | C23×2−1+4 | — | 3 | 336 | no | — |
| 56 | C23×2−1+4 | — | 3 | 8 | no | — |
| 57 | C23×2−1+4 | A4 | 1 | 4 | yes | complemented |
| 58 | C23×2−1+4 | C22×C3 | 1 | 112 | yes | complemented |
| 59 | C24×#41 | — | 3 | 56 | no | — |
| 60 | C24×#41 | — | 3 | 4 | no | — |
| 61 | C24×#41 | — | 3 | 24 | no | — |
| 62 | C24×#41 | — | 3 | 336 | no | — |
| 63 | C24×#41 | — | 3 | 24 | no | — |
| 64 | C24×#41 | — | 3 | 6 | no | — |
| 65 | C24×#41 | — | 3 | 168 | no | — |
| 66 | C24×#41 | — | 3 | 6 | no | — |
| 67 | C24×#41 | — | 3 | 12 | no | — |
| 68 | C24×#41 | — | 3 | 56 | no | — |
| 69 | C24×#41 | — | 3 | 4 | no | — |
| 70 | C24×#41 | — | 3 | 28 | no | — |
| 71 | C24×#41 | — | 3 | 28 | no | — |
| 72 | C24×#41 | — | 3 | 56 | no | — |
| 73 | C24×#41 | — | 3 | 14 | no | — |
| 74 | C24×#41 | C22×C3 | 1 | 14 | yes | complemented |
| 75 | C25×Q8 | — | 3 | 28 | no | — |
| 76 | C25×Q8 | — | 3 | 112 | no | — |
| 77 | C25×Q8 | — | 3 | 8 | no | — |
| 78 | C25×Q8 | — | 3 | 12 | no | — |
| 79 | C25×Q8 | — | 3 | 168 | no | — |
| 80 | C25×Q8 | — | 3 | 12 | no | — |
| 81 | C25×Q8 | — | 3 | 28 | no | — |
| 82 | C25×Q8 | — | 3 | 8 | no | — |
| 83 | C25×Q8 | — | 3 | 1 | no | — |
| 84 | C25×Q8 | — | 3 | 2 | no | — |
| 85 | C25×Q8 | — | 3 | 28 | no | — |
| 86 | C25×Q8 | C22×C3 | 1 | 1 | yes | characteristic |
| 87 | C25×Q8 | C22×C3 | 1 | 28 | yes | complemented |
| 88 | C25×D4 | — | 3 | 1 | no | — |
| 89 | C25×D4 | — | 3 | 2 | no | — |
| 90 | C25×D4 | A4 | 1 | 1 | yes | characteristic |
| 91 | C26×C4 | — | 3 | 2 | no | — |
| 92 | C26×C4 | — | 3 | 2 | no | — |
| 93 | C26×C4 | — | 3 | 1 | no | — |
| 94 | C24×A4 | — | 4 | 1 | no | — |
| 95 | C24×A4 | — | 4 | 28 | no | — |
| 96 | C24×A4 | — | 8 | 16 | no | — |
| 97 | C23×C3×D4 | — | 16 | 1 | no | — |
| 98 | #5948 | C24 | 1 | 8 | yes | complemented |
| 99 | C2×C22⋊SL(2,𝔽3) | C24 | 1 | 7 | yes | — |
| 100 | C2×C22⋊SL(2,𝔽3) | C24 | 1 | 16 | yes | complemented |
| 101 | C2×2−1+4⋊C3 | — | 4 | 448 | no | — |
| 102 | C22×#41⋊C3 | — | 4 | 56 | no | — |
| 103 | C23×SL(2,𝔽3) | — | 4 | 4 | no | — |
| 104 | C23×SL(2,𝔽3) | — | 4 | 112 | no | — |
| 105 | C2×D4×A4 | — | 4 | 112 | no | — |
| 106 | C22×C4×A4 | — | 4 | 14 | no | — |
| 107 | C27 | — | 3 | 1 | no | — |
| 108 | C27 | C2×A4 | 1 | 2 | yes | — |
| 109 | C22×2−1+4 | — | 3 | 1792 | no | — |
| 110 | C22×2−1+4 | — | 3 | 448 | no | — |
| 111 | C22×2−1+4 | — | 3 | 896 | no | — |
| 112 | C22×2−1+4 | — | 3 | 336 | no | — |
| 113 | C22×2−1+4 | — | 3 | 336 | no | — |
| 114 | C22×2−1+4 | — | 3 | 4032 | no | — |
| 115 | C22×2−1+4 | — | 3 | 10752 | no | — |
| 116 | C22×2−1+4 | — | 3 | 8064 | no | — |
| 117 | C22×2−1+4 | — | 3 | 672 | no | — |
| 118 | C22×2−1+4 | — | 3 | 4032 | no | — |
| 119 | C22×2−1+4 | — | 3 | 16128 | no | — |
| 120 | C22×2−1+4 | — | 3 | 8064 | no | — |
| 121 | C22×2−1+4 | — | 3 | 8064 | no | — |
| 122 | C22×2−1+4 | — | 3 | 672 | no | — |
| 123 | C22×2−1+4 | — | 3 | 43008 | no | — |
| 124 | C22×2−1+4 | — | 3 | 16128 | no | — |
| 125 | C22×2−1+4 | — | 3 | 8064 | no | — |
| 126 | C22×2−1+4 | — | 3 | 2688 | no | — |
| 127 | C22×2−1+4 | — | 3 | 8064 | no | — |
| 128 | C22×2−1+4 | — | 3 | 10752 | no | — |
| 129 | C22×2−1+4 | — | 3 | 5376 | no | — |
| 130 | C22×2−1+4 | — | 3 | 2688 | no | — |
| 131 | C22×2−1+4 | — | 3 | 16128 | no | — |
| 132 | C22×2−1+4 | — | 3 | 1344 | no | — |
| 133 | C22×2−1+4 | — | 3 | 672 | no | — |
| 134 | C22×2−1+4 | — | 3 | 1344 | no | — |
| 135 | C22×2−1+4 | — | 3 | 672 | no | — |
| 136 | C22×2−1+4 | — | 3 | 4032 | no | — |
| 137 | C22×2−1+4 | — | 3 | 4032 | no | — |
| 138 | C22×2−1+4 | — | 3 | 8064 | no | — |
| 139 | C22×2−1+4 | — | 3 | 3584 | no | — |
| 140 | C22×2−1+4 | — | 3 | 1344 | no | — |
| 141 | C22×2−1+4 | — | 3 | 672 | no | — |
| 142 | C22×2−1+4 | — | 3 | 672 | no | — |
| 143 | C22×2−1+4 | — | 3 | 336 | no | — |
| 144 | C22×2−1+4 | — | 3 | 896 | no | — |
| 145 | C22×2−1+4 | — | 3 | 336 | no | — |
| 146 | C22×2−1+4 | — | 3 | 112 | no | — |
| 147 | C22×2−1+4 | — | 3 | 2688 | no | — |
| 148 | C22×2−1+4 | — | 3 | 672 | no | — |
| 149 | C22×2−1+4 | — | 3 | 224 | no | — |
| 150 | C22×2−1+4 | — | 3 | 1344 | no | — |
| 151 | C22×2−1+4 | — | 3 | 448 | no | — |
| 152 | C22×2−1+4 | — | 3 | 112 | no | — |
| 153 | C22×2−1+4 | — | 3 | 112 | no | — |
| 154 | C22×2−1+4 | — | 3 | 448 | no | — |
| 155 | C22×2−1+4 | — | 3 | 224 | no | — |
| 156 | C22×2−1+4 | C2×A4 | 1 | 112 | yes | complemented |
| 157 | C22×2−1+4 | C23×C3 | 1 | 64 | yes | complemented |
| 158 | C23×#41 | — | 3 | 336 | no | — |
| 159 | C23×#41 | — | 3 | 56 | no | — |
| 160 | C23×#41 | — | 3 | 12 | no | — |
| 161 | C23×#41 | — | 3 | 24 | no | — |
| 162 | C23×#41 | — | 3 | 168 | no | — |
| 163 | C23×#41 | — | 3 | 672 | no | — |
| 164 | C23×#41 | — | 3 | 168 | no | — |
| 165 | C23×#41 | — | 3 | 1008 | no | — |
| 166 | C23×#41 | — | 3 | 672 | no | — |
| 167 | C23×#41 | — | 3 | 5376 | no | — |
| 168 | C23×#41 | — | 3 | 672 | no | — |
| 169 | C23×#41 | — | 3 | 2688 | no | — |
| 170 | C23×#41 | — | 3 | 4032 | no | — |
| 171 | C23×#41 | — | 3 | 672 | no | — |
| 172 | C23×#41 | — | 3 | 672 | no | — |
| 173 | C23×#41 | — | 3 | 672 | no | — |
| 174 | C23×#41 | — | 3 | 672 | no | — |
| 175 | C23×#41 | — | 3 | 336 | no | — |
| 176 | C23×#41 | — | 3 | 48 | no | — |
| 177 | C23×#41 | — | 3 | 24 | no | — |
| 178 | C23×#41 | — | 3 | 672 | no | — |
| 179 | C23×#41 | — | 3 | 4032 | no | — |
| 180 | C23×#41 | — | 3 | 672 | no | — |
| 181 | C23×#41 | — | 3 | 672 | no | — |
| 182 | C23×#41 | — | 3 | 168 | no | — |
| 183 | C23×#41 | — | 3 | 168 | no | — |
| 184 | C23×#41 | — | 3 | 224 | no | — |
| 185 | C23×#41 | — | 3 | 56 | no | — |
| 186 | C23×#41 | — | 3 | 24 | no | — |
| 187 | C23×#41 | — | 3 | 168 | no | — |
| 188 | C23×#41 | — | 3 | 168 | no | — |
| 189 | C23×#41 | — | 3 | 336 | no | — |
| 190 | C23×#41 | — | 3 | 2016 | no | — |
| 191 | C23×#41 | — | 3 | 168 | no | — |
| 192 | C23×#41 | — | 3 | 336 | no | — |
| 193 | C23×#41 | — | 3 | 2016 | no | — |
| 194 | C23×#41 | — | 3 | 168 | no | — |
| 195 | C23×#41 | — | 3 | 336 | no | — |
| 196 | C23×#41 | — | 3 | 672 | no | — |
| 197 | C23×#41 | — | 3 | 24 | no | — |
| 198 | C23×#41 | — | 3 | 24 | no | — |
| 199 | C23×#41 | — | 3 | 12 | no | — |
| 200 | C23×#41 | — | 3 | 56 | no | — |
| 201 | C23×#41 | — | 3 | 4 | no | — |
| 202 | C23×#41 | — | 3 | 56 | no | — |
| 203 | C23×#41 | — | 3 | 56 | no | — |
| 204 | C23×#41 | — | 3 | 4 | no | — |
| 205 | C23×#41 | — | 3 | 336 | no | — |
| 206 | C23×#41 | — | 3 | 112 | no | — |
| 207 | C23×#41 | — | 3 | 4 | no | — |
| 208 | C23×#41 | — | 3 | 8 | no | — |
| 209 | C23×#41 | — | 3 | 224 | no | — |
| 210 | C23×#41 | — | 3 | 84 | no | — |
| 211 | C23×#41 | C2×A4 | 1 | 4 | yes | complemented |
| 212 | C23×#41 | C23×C3 | 1 | 28 | yes | complemented |
| 213 | C24×Q8 | — | 3 | 28 | no | — |
| 214 | C24×Q8 | — | 3 | 4 | no | — |
| 215 | C24×Q8 | — | 3 | 112 | no | — |
| 216 | C24×Q8 | — | 3 | 672 | no | — |
| 217 | C24×Q8 | — | 3 | 112 | no | — |
| 218 | C24×Q8 | — | 3 | 168 | no | — |
| 219 | C24×Q8 | — | 3 | 24 | no | — |
| 220 | C24×Q8 | — | 3 | 6 | no | — |
| 221 | C24×Q8 | — | 3 | 84 | no | — |
| 222 | C24×Q8 | — | 3 | 6 | no | — |
| 223 | C24×Q8 | — | 3 | 28 | no | — |
| 224 | C24×Q8 | — | 3 | 336 | no | — |
| 225 | C24×Q8 | — | 3 | 336 | no | — |
| 226 | C24×Q8 | — | 3 | 2016 | no | — |
| 227 | C24×Q8 | — | 3 | 336 | no | — |
| 228 | C24×Q8 | — | 3 | 1344 | no | — |
| 229 | C24×Q8 | — | 3 | 336 | no | — |
| 230 | C24×Q8 | — | 3 | 2016 | no | — |
| 231 | C24×Q8 | — | 3 | 336 | no | — |
| 232 | C24×Q8 | — | 3 | 2688 | no | — |
| 233 | C24×Q8 | — | 3 | 672 | no | — |
| 234 | C24×Q8 | — | 3 | 2016 | no | — |
| 235 | C24×Q8 | — | 3 | 336 | no | — |
| 236 | C24×Q8 | — | 3 | 336 | no | — |
| 237 | C24×Q8 | — | 3 | 336 | no | — |
| 238 | C24×Q8 | — | 3 | 24 | no | — |
| 239 | C24×Q8 | — | 3 | 336 | no | — |
| 240 | C24×Q8 | — | 3 | 336 | no | — |
| 241 | C24×Q8 | — | 3 | 448 | no | — |
| 242 | C24×Q8 | — | 3 | 24 | no | — |
| 243 | C24×Q8 | — | 3 | 24 | no | — |
| 244 | C24×Q8 | — | 3 | 112 | no | — |
| 245 | C24×Q8 | — | 3 | 336 | no | — |
| 246 | C24×Q8 | — | 3 | 12 | no | — |
| 247 | C24×Q8 | — | 3 | 112 | no | — |
| 248 | C24×Q8 | — | 3 | 8 | no | — |
| 249 | C24×Q8 | — | 3 | 4 | no | — |
| 250 | C24×Q8 | — | 3 | 8 | no | — |
| 251 | C24×Q8 | — | 3 | 112 | no | — |
| 252 | C24×Q8 | — | 3 | 112 | no | — |
| 253 | C24×Q8 | — | 3 | 28 | no | — |
| 254 | C24×Q8 | — | 3 | 7 | no | — |
| 255 | C24×Q8 | — | 3 | 28 | no | — |
| 256 | C24×Q8 | — | 3 | 168 | no | — |
| 257 | C24×Q8 | C2×A4 | 1 | 8 | yes | complemented |
| 258 | C24×Q8 | C23×C3 | 1 | 7 | yes | — |
| 259 | C24×Q8 | C23×C3 | 1 | 56 | yes | complemented |
| 260 | C24×D4 | — | 3 | 14 | no | — |
| 261 | C24×D4 | — | 3 | 12 | no | — |
| 262 | C24×D4 | — | 3 | 84 | no | — |
| 263 | C24×D4 | — | 3 | 168 | no | — |
| 264 | C24×D4 | — | 3 | 12 | no | — |
| 265 | C24×D4 | — | 3 | 12 | no | — |
| 266 | C24×D4 | — | 3 | 14 | no | — |
| 267 | C24×D4 | — | 3 | 56 | no | — |
| 268 | C24×D4 | — | 3 | 1 | no | — |
| 269 | C24×D4 | — | 3 | 1 | no | — |
| 270 | C24×D4 | — | 3 | 2 | no | — |
| 271 | C24×D4 | — | 3 | 28 | no | — |
| 272 | C24×D4 | C2×A4 | 1 | 28 | yes | — |
| 273 | C25×C4 | — | 3 | 168 | no | — |
| 274 | C25×C4 | — | 3 | 24 | no | — |
| 275 | C25×C4 | — | 3 | 168 | no | — |
| 276 | C25×C4 | — | 3 | 12 | no | — |
| 277 | C25×C4 | — | 3 | 12 | no | — |
| 278 | C25×C4 | — | 3 | 84 | no | — |
| 279 | C25×C4 | — | 3 | 6 | no | — |
| 280 | C25×C4 | — | 3 | 6 | no | — |
| 281 | C25×C4 | — | 3 | 56 | no | — |
| 282 | C25×C4 | — | 3 | 2 | no | — |
| 283 | C25×C4 | — | 3 | 1 | no | — |
| 284 | C25×C4 | — | 3 | 28 | no | — |
| 285 | C25×C4 | — | 3 | 28 | no | — |
| 286 | C25×C4 | — | 3 | 14 | no | — |
| 287 | C25×C4 | — | 3 | 14 | no | — |
| 288 | C25×C4 | C2×A4 | 1 | 1 | yes | characteristic |
| 289 | C25×C3 | — | 16 | 2 | no | — |
| 290 | C23×A4 | — | 4 | 8 | no | — |
| 291 | C23×A4 | — | 4 | 7 | no | — |
| 292 | C23×A4 | — | 4 | 56 | no | — |
| 293 | C23×A4 | — | 8 | 112 | no | — |
| 294 | C22×C3×D4 | — | 16 | 28 | no | — |
| 295 | C23×C3×C4 | — | 16 | 1 | no | — |
| 296 | C22⋊SL(2,𝔽3) | C25 | 1 | 1 | yes | characteristic |
| 297 | 2−1+4⋊C3 | — | 4 | 256 | no | — |
| 298 | C2×#41⋊C3 | — | 4 | 112 | no | — |
| 299 | C22×SL(2,𝔽3) | — | 4 | 28 | no | — |
| 300 | C22×SL(2,𝔽3) | — | 4 | 224 | no | — |
| 301 | D4×A4 | — | 4 | 64 | no | — |
| 302 | C2×C4×A4 | — | 4 | 28 | no | — |
| 303 | C26 | — | 2 | 16 | no | — |
| 304 | C26 | — | 3 | 42 | no | — |
| 305 | C26 | — | 3 | 6 | no | — |
| 306 | C26 | — | 3 | 28 | no | — |
| 307 | C26 | — | 3 | 2 | no | — |
| 308 | C26 | — | 3 | 14 | no | — |
| 309 | C26 | — | 3 | 2 | no | — |
| 310 | C26 | — | 6 | 16 | no | — |
| 311 | C26 | — | 6 | 24 | no | — |
| 312 | C26 | — | 6 | 8 | no | — |
| 313 | C26 | C22×A4 | 1 | 28 | yes | — |
| 314 | C26 | C22×A4 | 1 | 1 | yes | characteristic |
| 315 | C2×2−1+4 | — | 3 | 256 | no | — |
| 316 | C2×2−1+4 | — | 3 | 512 | no | — |
| 317 | C2×2−1+4 | — | 3 | 1344 | no | — |
| 318 | C2×2−1+4 | — | 3 | 4032 | no | — |
| 319 | C2×2−1+4 | — | 3 | 5376 | no | — |
| 320 | C2×2−1+4 | — | 3 | 5376 | no | — |
| 321 | C2×2−1+4 | — | 3 | 32256 | no | — |
| 322 | C2×2−1+4 | — | 3 | 5376 | no | — |
| 323 | C2×2−1+4 | — | 3 | 10752 | no | — |
| 324 | C2×2−1+4 | — | 3 | 2688 | no | — |
| 325 | C2×2−1+4 | — | 3 | 5376 | no | — |
| 326 | C2×2−1+4 | — | 3 | 10752 | no | — |
| 327 | C2×2−1+4 | — | 3 | 32256 | no | — |
| 328 | C2×2−1+4 | — | 3 | 8064 | no | — |
| 329 | C2×2−1+4 | — | 3 | 86016 | no | — |
| 330 | C2×2−1+4 | — | 3 | 43008 | no | — |
| 331 | C2×2−1+4 | — | 3 | 16128 | no | — |
| 332 | C2×2−1+4 | — | 3 | 5376 | no | — |
| 333 | C2×2−1+4 | — | 3 | 64512 | no | — |
| 334 | C2×2−1+4 | — | 3 | 32256 | no | — |
| 335 | C2×2−1+4 | — | 3 | 10752 | no | — |
| 336 | C2×2−1+4 | — | 3 | 43008 | no | — |
| 337 | C2×2−1+4 | — | 3 | 32256 | no | — |
| 338 | C2×2−1+4 | — | 3 | 21504 | no | — |
| 339 | C2×2−1+4 | — | 3 | 10752 | no | — |
| 340 | C2×2−1+4 | — | 3 | 64512 | no | — |
| 341 | C2×2−1+4 | — | 3 | 16128 | no | — |
| 342 | C2×2−1+4 | — | 3 | 16128 | no | — |
| 343 | C2×2−1+4 | — | 3 | 5376 | no | — |
| 344 | C2×2−1+4 | — | 3 | 8064 | no | — |
| 345 | C2×2−1+4 | — | 3 | 16128 | no | — |
| 346 | C2×2−1+4 | — | 3 | 8064 | no | — |
| 347 | C2×2−1+4 | — | 3 | 8064 | no | — |
| 348 | C2×2−1+4 | — | 3 | 2688 | no | — |
| 349 | C2×2−1+4 | — | 3 | 1792 | no | — |
| 350 | C2×2−1+4 | — | 3 | 2688 | no | — |
| 351 | C2×2−1+4 | — | 3 | 8064 | no | — |
| 352 | C2×2−1+4 | — | 3 | 4032 | no | — |
| 353 | C2×2−1+4 | — | 3 | 2688 | no | — |
| 354 | C2×2−1+4 | — | 3 | 896 | no | — |
| 355 | C2×2−1+4 | — | 3 | 4032 | no | — |
| 356 | C2×2−1+4 | — | 3 | 448 | no | — |
| 357 | C2×2−1+4 | — | 3 | 3584 | no | — |
| 358 | C2×2−1+4 | — | 3 | 8064 | no | — |
| 359 | C2×2−1+4 | — | 3 | 896 | no | — |
| 360 | C2×2−1+4 | — | 3 | 1792 | no | — |
| 361 | C2×2−1+4 | — | 3 | 256 | no | — |
| 362 | C2×2−1+4 | — | 3 | 448 | no | — |
| 363 | C2×2−1+4 | — | 3 | 1344 | no | — |
| 364 | C2×2−1+4 | — | 3 | 896 | no | — |
| 365 | C2×2−1+4 | C22×A4 | 1 | 448 | yes | complemented |
| 366 | C22×#41 | — | 3 | 224 | no | — |
| 367 | C22×#41 | — | 3 | 112 | no | — |
| 368 | C22×#41 | — | 3 | 168 | no | — |
| 369 | C22×#41 | — | 3 | 672 | no | — |
| 370 | C22×#41 | — | 3 | 168 | no | — |
| 371 | C22×#41 | — | 3 | 1008 | no | — |
| 372 | C22×#41 | — | 3 | 1344 | no | — |
| 373 | C22×#41 | — | 3 | 1008 | no | — |
| 374 | C22×#41 | — | 3 | 2016 | no | — |
| 375 | C22×#41 | — | 3 | 8064 | no | — |
| 376 | C22×#41 | — | 3 | 2016 | no | — |
| 377 | C22×#41 | — | 3 | 21504 | no | — |
| 378 | C22×#41 | — | 3 | 16128 | no | — |
| 379 | C22×#41 | — | 3 | 21504 | no | — |
| 380 | C22×#41 | — | 3 | 5376 | no | — |
| 381 | C22×#41 | — | 3 | 2016 | no | — |
| 382 | C22×#41 | — | 3 | 8064 | no | — |
| 383 | C22×#41 | — | 3 | 10752 | no | — |
| 384 | C22×#41 | — | 3 | 10752 | no | — |
| 385 | C22×#41 | — | 3 | 16128 | no | — |
| 386 | C22×#41 | — | 3 | 8064 | no | — |
| 387 | C22×#41 | — | 3 | 8064 | no | — |
| 388 | C22×#41 | — | 3 | 8064 | no | — |
| 389 | C22×#41 | — | 3 | 16128 | no | — |
| 390 | C22×#41 | — | 3 | 8064 | no | — |
| 391 | C22×#41 | — | 3 | 8064 | no | — |
| 392 | C22×#41 | — | 3 | 4032 | no | — |
| 393 | C22×#41 | — | 3 | 4032 | no | — |
| 394 | C22×#41 | — | 3 | 1344 | no | — |
| 395 | C22×#41 | — | 3 | 672 | no | — |
| 396 | C22×#41 | — | 3 | 672 | no | — |
| 397 | C22×#41 | — | 3 | 2016 | no | — |
| 398 | C22×#41 | — | 3 | 672 | no | — |
| 399 | C22×#41 | — | 3 | 1344 | no | — |
| 400 | C22×#41 | — | 3 | 672 | no | — |
| 401 | C22×#41 | — | 3 | 672 | no | — |
| 402 | C22×#41 | — | 3 | 1344 | no | — |
| 403 | C22×#41 | — | 3 | 672 | no | — |
| 404 | C22×#41 | — | 3 | 336 | no | — |
| 405 | C22×#41 | — | 3 | 2688 | no | — |
| 406 | C22×#41 | — | 3 | 5376 | no | — |
| 407 | C22×#41 | — | 3 | 8064 | no | — |
| 408 | C22×#41 | — | 3 | 2688 | no | — |
| 409 | C22×#41 | — | 3 | 1008 | no | — |
| 410 | C22×#41 | — | 3 | 1008 | no | — |
| 411 | C22×#41 | — | 3 | 2016 | no | — |
| 412 | C22×#41 | — | 3 | 448 | no | — |
| 413 | C22×#41 | — | 3 | 336 | no | — |
| 414 | C22×#41 | — | 3 | 168 | no | — |
| 415 | C22×#41 | — | 3 | 672 | no | — |
| 416 | C22×#41 | — | 3 | 2016 | no | — |
| 417 | C22×#41 | — | 3 | 672 | no | — |
| 418 | C22×#41 | — | 3 | 4032 | no | — |
| 419 | C22×#41 | — | 3 | 4032 | no | — |
| 420 | C22×#41 | — | 3 | 8064 | no | — |
| 421 | C22×#41 | — | 3 | 2016 | no | — |
| 422 | C22×#41 | — | 3 | 4032 | no | — |
| 423 | C22×#41 | — | 3 | 2688 | no | — |
| 424 | C22×#41 | — | 3 | 672 | no | — |
| 425 | C22×#41 | — | 3 | 1344 | no | — |
| 426 | C22×#41 | — | 3 | 896 | no | — |
| 427 | C22×#41 | — | 3 | 672 | no | — |
| 428 | C22×#41 | — | 3 | 672 | no | — |
| 429 | C22×#41 | — | 3 | 672 | no | — |
| 430 | C22×#41 | — | 3 | 224 | no | — |
| 431 | C22×#41 | — | 3 | 672 | no | — |
| 432 | C22×#41 | — | 3 | 336 | no | — |
| 433 | C22×#41 | — | 3 | 336 | no | — |
| 434 | C22×#41 | — | 3 | 112 | no | — |
| 435 | C22×#41 | — | 3 | 168 | no | — |
| 436 | C22×#41 | — | 3 | 56 | no | — |
| 437 | C22×#41 | — | 3 | 112 | no | — |
| 438 | C22×#41 | — | 3 | 336 | no | — |
| 439 | C22×#41 | — | 3 | 56 | no | — |
| 440 | C22×#41 | — | 3 | 448 | no | — |
| 441 | C22×#41 | — | 3 | 64 | no | — |
| 442 | C22×#41 | — | 3 | 112 | no | — |
| 443 | C22×#41 | — | 3 | 112 | no | — |
| 444 | C22×#41 | — | 3 | 224 | no | — |
| 445 | C22×#41 | — | 3 | 128 | no | — |
| 446 | C22×#41 | — | 3 | 56 | no | — |
| 447 | C22×#41 | — | 3 | 56 | no | — |
| 448 | C22×#41 | C22×A4 | 1 | 56 | yes | complemented |
| 449 | C22×#41 | C24×C3 | 1 | 8 | yes | complemented |
| 450 | C23×Q8 | — | 3 | 84 | no | — |
| 451 | C23×Q8 | — | 3 | 112 | no | — |
| 452 | C23×Q8 | — | 3 | 64 | no | — |
| 453 | C23×Q8 | — | 3 | 448 | no | — |
| 454 | C23×Q8 | — | 3 | 224 | no | — |
| 455 | C23×Q8 | — | 3 | 168 | no | — |
| 456 | C23×Q8 | — | 3 | 252 | no | — |
| 457 | C23×Q8 | — | 3 | 1008 | no | — |
| 458 | C23×Q8 | — | 3 | 1008 | no | — |
| 459 | C23×Q8 | — | 3 | 1344 | no | — |
| 460 | C23×Q8 | — | 3 | 672 | no | — |
| 461 | C23×Q8 | — | 3 | 336 | no | — |
| 462 | C23×Q8 | — | 3 | 168 | no | — |
| 463 | C23×Q8 | — | 3 | 336 | no | — |
| 464 | C23×Q8 | — | 3 | 84 | no | — |
| 465 | C23×Q8 | — | 3 | 84 | no | — |
| 466 | C23×Q8 | — | 3 | 336 | no | — |
| 467 | C23×Q8 | — | 3 | 336 | no | — |
| 468 | C23×Q8 | — | 3 | 56 | no | — |
| 469 | C23×Q8 | — | 3 | 168 | no | — |
| 470 | C23×Q8 | — | 3 | 168 | no | — |
| 471 | C23×Q8 | — | 3 | 1008 | no | — |
| 472 | C23×Q8 | — | 3 | 168 | no | — |
| 473 | C23×Q8 | — | 3 | 168 | no | — |
| 474 | C23×Q8 | — | 3 | 14 | no | — |
| 475 | C23×Q8 | — | 3 | 24 | no | — |
| 476 | C23×Q8 | — | 3 | 12 | no | — |
| 477 | C23×Q8 | — | 3 | 4 | no | — |
| 478 | C23×Q8 | — | 3 | 1344 | no | — |
| 479 | C23×Q8 | — | 3 | 4032 | no | — |
| 480 | C23×Q8 | — | 3 | 2688 | no | — |
| 481 | C23×Q8 | — | 3 | 1344 | no | — |
| 482 | C23×Q8 | — | 3 | 2688 | no | — |
| 483 | C23×Q8 | — | 3 | 2016 | no | — |
| 484 | C23×Q8 | — | 3 | 4032 | no | — |
| 485 | C23×Q8 | — | 3 | 2016 | no | — |
| 486 | C23×Q8 | — | 3 | 10752 | no | — |
| 487 | C23×Q8 | — | 3 | 10752 | no | — |
| 488 | C23×Q8 | — | 3 | 8064 | no | — |
| 489 | C23×Q8 | — | 3 | 10752 | no | — |
| 490 | C23×Q8 | — | 3 | 4032 | no | — |
| 491 | C23×Q8 | — | 3 | 8064 | no | — |
| 492 | C23×Q8 | — | 3 | 4032 | no | — |
| 493 | C23×Q8 | — | 3 | 8064 | no | — |
| 494 | C23×Q8 | — | 3 | 4032 | no | — |
| 495 | C23×Q8 | — | 3 | 4032 | no | — |
| 496 | C23×Q8 | — | 3 | 8064 | no | — |
| 497 | C23×Q8 | — | 3 | 4032 | no | — |
| 498 | C23×Q8 | — | 3 | 2688 | no | — |
| 499 | C23×Q8 | — | 3 | 1344 | no | — |
| 500 | C23×Q8 | — | 3 | 4032 | no | — |
| 501 | C23×Q8 | — | 3 | 1344 | no | — |
| 502 | C23×Q8 | — | 3 | 672 | no | — |
| 503 | C23×Q8 | — | 3 | 672 | no | — |
| 504 | C23×Q8 | — | 3 | 672 | no | — |
| 505 | C23×Q8 | — | 3 | 672 | no | — |
| 506 | C23×Q8 | — | 3 | 2016 | no | — |
| 507 | C23×Q8 | — | 3 | 2016 | no | — |
| 508 | C23×Q8 | — | 3 | 4032 | no | — |
| 509 | C23×Q8 | — | 3 | 896 | no | — |
| 510 | C23×Q8 | — | 3 | 336 | no | — |
| 511 | C23×Q8 | — | 3 | 336 | no | — |
| 512 | C23×Q8 | — | 3 | 672 | no | — |
| 513 | C23×Q8 | — | 3 | 336 | no | — |
| 514 | C23×Q8 | — | 3 | 672 | no | — |
| 515 | C23×Q8 | — | 3 | 448 | no | — |
| 516 | C23×Q8 | — | 3 | 112 | no | — |
| 517 | C23×Q8 | — | 3 | 336 | no | — |
| 518 | C23×Q8 | — | 3 | 336 | no | — |
| 519 | C23×Q8 | — | 3 | 224 | no | — |
| 520 | C23×Q8 | — | 3 | 112 | no | — |
| 521 | C23×Q8 | — | 3 | 336 | no | — |
| 522 | C23×Q8 | — | 3 | 28 | no | — |
| 523 | C23×Q8 | — | 3 | 28 | no | — |
| 524 | C23×Q8 | — | 3 | 112 | no | — |
| 525 | C23×Q8 | — | 3 | 224 | no | — |
| 526 | C23×Q8 | — | 3 | 672 | no | — |
| 527 | C23×Q8 | — | 3 | 112 | no | — |
| 528 | C23×Q8 | — | 3 | 4 | no | — |
| 529 | C23×Q8 | — | 3 | 8 | no | — |
| 530 | C23×Q8 | — | 3 | 21 | no | — |
| 531 | C23×Q8 | — | 3 | 56 | no | — |
| 532 | C23×Q8 | — | 3 | 112 | no | — |
| 533 | C23×Q8 | — | 3 | 112 | no | — |
| 534 | C23×Q8 | C22×A4 | 1 | 4 | yes | — |
| 535 | C23×Q8 | C22×A4 | 1 | 112 | yes | complemented |
| 536 | C23×Q8 | C24×C3 | 1 | 7 | yes | — |
| 537 | C23×Q8 | C24×C3 | 1 | 16 | yes | complemented |
| 538 | C23×D4 | — | 3 | 4 | no | — |
| 539 | C23×D4 | — | 3 | 28 | no | — |
| 540 | C23×D4 | — | 3 | 168 | no | — |
| 541 | C23×D4 | — | 3 | 168 | no | — |
| 542 | C23×D4 | — | 3 | 504 | no | — |
| 543 | C23×D4 | — | 3 | 504 | no | — |
| 544 | C23×D4 | — | 3 | 672 | no | — |
| 545 | C23×D4 | — | 3 | 1344 | no | — |
| 546 | C23×D4 | — | 3 | 336 | no | — |
| 547 | C23×D4 | — | 3 | 168 | no | — |
| 548 | C23×D4 | — | 3 | 168 | no | — |
| 549 | C23×D4 | — | 3 | 2016 | no | — |
| 550 | C23×D4 | — | 3 | 336 | no | — |
| 551 | C23×D4 | — | 3 | 336 | no | — |
| 552 | C23×D4 | — | 3 | 336 | no | — |
| 553 | C23×D4 | — | 3 | 56 | no | — |
| 554 | C23×D4 | — | 3 | 224 | no | — |
| 555 | C23×D4 | — | 3 | 84 | no | — |
| 556 | C23×D4 | — | 3 | 24 | no | — |
| 557 | C23×D4 | — | 3 | 12 | no | — |
| 558 | C23×D4 | — | 3 | 2 | no | — |
| 559 | C23×D4 | — | 3 | 28 | no | — |
| 560 | C23×D4 | — | 3 | 224 | no | — |
| 561 | C23×D4 | — | 3 | 8 | no | — |
| 562 | C23×D4 | — | 3 | 2 | no | — |
| 563 | C23×D4 | — | 3 | 28 | no | — |
| 564 | C23×D4 | — | 3 | 28 | no | — |
| 565 | C23×D4 | — | 3 | 28 | no | — |
| 566 | C23×D4 | — | 3 | 56 | no | — |
| 567 | C23×D4 | — | 3 | 336 | no | — |
| 568 | C23×D4 | — | 3 | 1 | no | — |
| 569 | C23×D4 | C22×A4 | 1 | 112 | yes | — |
| 570 | C23×D4 | C22⋊A4 | 1 | 1 | yes | characteristic |
| 571 | C24×C4 | — | 3 | 84 | no | — |
| 572 | C24×C4 | — | 3 | 42 | no | — |
| 573 | C24×C4 | — | 3 | 12 | no | — |
| 574 | C24×C4 | — | 3 | 6 | no | — |
| 575 | C24×C4 | — | 3 | 2016 | no | — |
| 576 | C24×C4 | — | 3 | 1344 | no | — |
| 577 | C24×C4 | — | 3 | 1344 | no | — |
| 578 | C24×C4 | — | 3 | 672 | no | — |
| 579 | C24×C4 | — | 3 | 672 | no | — |
| 580 | C24×C4 | — | 3 | 336 | no | — |
| 581 | C24×C4 | — | 3 | 672 | no | — |
| 582 | C24×C4 | — | 3 | 168 | no | — |
| 583 | C24×C4 | — | 3 | 1008 | no | — |
| 584 | C24×C4 | — | 3 | 168 | no | — |
| 585 | C24×C4 | — | 3 | 1008 | no | — |
| 586 | C24×C4 | — | 3 | 168 | no | — |
| 587 | C24×C4 | — | 3 | 168 | no | — |
| 588 | C24×C4 | — | 3 | 336 | no | — |
| 589 | C24×C4 | — | 3 | 168 | no | — |
| 590 | C24×C4 | — | 3 | 504 | no | — |
| 591 | C24×C4 | — | 3 | 84 | no | — |
| 592 | C24×C4 | — | 3 | 504 | no | — |
| 593 | C24×C4 | — | 3 | 84 | no | — |
| 594 | C24×C4 | — | 3 | 84 | no | — |
| 595 | C24×C4 | — | 3 | 84 | no | — |
| 596 | C24×C4 | — | 3 | 168 | no | — |
| 597 | C24×C4 | — | 3 | 224 | no | — |
| 598 | C24×C4 | — | 3 | 8 | no | — |
| 599 | C24×C4 | — | 3 | 24 | no | — |
| 600 | C24×C4 | — | 3 | 24 | no | — |
| 601 | C24×C4 | — | 3 | 12 | no | — |
| 602 | C24×C4 | — | 3 | 28 | no | — |
| 603 | C24×C4 | — | 3 | 7 | no | — |
| 604 | C24×C4 | — | 3 | 7 | no | — |
| 605 | C24×C4 | — | 3 | 56 | no | — |
| 606 | C24×C4 | — | 3 | 168 | no | — |
| 607 | C24×C4 | — | 3 | 8 | no | — |
| 608 | C24×C4 | — | 3 | 84 | no | — |
| 609 | C24×C4 | — | 3 | 28 | no | — |
| 610 | C24×C4 | — | 3 | 1 | no | — |
| 611 | C24×C4 | — | 3 | 4 | no | — |
| 612 | C24×C4 | — | 3 | 1 | no | — |
| 613 | C24×C4 | — | 3 | 14 | no | — |
| 614 | C24×C4 | C22×A4 | 1 | 14 | yes | — |
| 615 | C24×C3 | — | 16 | 28 | no | — |
| 616 | C24×C3 | — | 16 | 1 | no | — |
| 617 | C24×C3 | — | 32 | 16 | no | — |
| 618 | C22×A4 | — | 4 | 28 | no | — |
| 619 | C22×A4 | — | 4 | 7 | no | — |
| 620 | C22×A4 | — | 4 | 16 | no | — |
| 621 | C22×A4 | — | 8 | 112 | no | — |
| 622 | C2×C3×D4 | — | 16 | 112 | no | — |
| 623 | C22×C3×C4 | — | 16 | 14 | no | — |
| 624 | #41⋊C3 | — | 4 | 32 | no | — |
| 625 | C2×SL(2,𝔽3) | — | 4 | 28 | no | — |
| 626 | C2×SL(2,𝔽3) | — | 4 | 64 | no | — |
| 627 | C4×A4 | — | 4 | 8 | no | — |
| 628 | C25 | — | 2 | 112 | no | — |
| 629 | C25 | — | 3 | 7 | no | — |
| 630 | C25 | — | 3 | 8 | no | — |
| 631 | C25 | — | 3 | 1 | no | — |
| 632 | C25 | — | 3 | 252 | no | — |
| 633 | C25 | — | 3 | 168 | no | — |
| 634 | C25 | — | 3 | 112 | no | — |
| 635 | C25 | — | 3 | 28 | no | — |
| 636 | C25 | — | 3 | 84 | no | — |
| 637 | C25 | — | 3 | 84 | no | — |
| 638 | C25 | — | 3 | 168 | no | — |
| 639 | C25 | — | 3 | 28 | no | — |
| 640 | C25 | — | 3 | 28 | no | — |
| 641 | C25 | — | 3 | 28 | no | — |
| 642 | C25 | — | 3 | 28 | no | — |
| 643 | C25 | — | 3 | 2 | no | — |
| 644 | C25 | — | 3 | 4 | no | — |
| 645 | C25 | — | 6 | 16 | no | — |
| 646 | C25 | — | 6 | 16 | no | — |
| 647 | C25 | — | 6 | 112 | no | — |
| 648 | C25 | — | 6 | 224 | no | — |
| 649 | C25 | — | 6 | 16 | no | — |
| 650 | C25 | — | 6 | 16 | no | — |
| 651 | C25 | — | 6 | 336 | no | — |
| 652 | C25 | — | 6 | 168 | no | — |
| 653 | C25 | — | 6 | 224 | no | — |
| 654 | C25 | — | 6 | 336 | no | — |
| 655 | C25 | — | 6 | 48 | no | — |
| 656 | C25 | — | 6 | 48 | no | — |
| 657 | C25 | — | 6 | 56 | no | — |
| 658 | C25 | 2−1+4⋊C3 | 1 | 8 | yes | complemented |
| 659 | C25 | C23×A4 | 1 | 56 | yes | — |
| 660 | C25 | C23×A4 | 1 | 7 | yes | — |
| 661 | C25 | C2×C22⋊A4 | 1 | 2 | yes | — |
| 662 | 2−1+4 | — | 3 | 1792 | no | — |
| 663 | 2−1+4 | — | 3 | 768 | no | — |
| 664 | 2−1+4 | — | 3 | 5376 | no | — |
| 665 | 2−1+4 | — | 3 | 1536 | no | — |
| 666 | 2−1+4 | — | 3 | 10752 | no | — |
| 667 | 2−1+4 | — | 3 | 21504 | no | — |
| 668 | 2−1+4 | — | 3 | 10752 | no | — |
| 669 | 2−1+4 | — | 3 | 64512 | no | — |
| 670 | 2−1+4 | — | 3 | 21504 | no | — |
| 671 | 2−1+4 | — | 3 | 21504 | no | — |
| 672 | 2−1+4 | — | 3 | 64512 | no | — |
| 673 | 2−1+4 | — | 3 | 21504 | no | — |
| 674 | 2−1+4 | — | 3 | 32256 | no | — |
| 675 | 2−1+4 | — | 3 | 10752 | no | — |
| 676 | 2−1+4 | — | 3 | 10752 | no | — |
| 677 | 2−1+4 | — | 3 | 1536 | no | — |
| 678 | 2−1+4 | — | 3 | 10752 | no | — |
| 679 | 2−1+4 | — | 3 | 5376 | no | — |
| 680 | 2−1+4 | — | 3 | 10752 | no | — |
| 681 | 2−1+4 | — | 3 | 3584 | no | — |
| 682 | 2−1+4 | — | 3 | 5376 | no | — |
| 683 | 2−1+4 | — | 3 | 256 | no | — |
| 684 | 2−1+4 | — | 3 | 10752 | no | — |
| 685 | 2−1+4 | — | 3 | 512 | no | — |
| 686 | 2−1+4 | — | 3 | 256 | no | — |
| 687 | 2−1+4 | — | 3 | 512 | no | — |
| 688 | 2−1+4 | C23×A4 | 1 | 256 | yes | complemented |
| 689 | C2×#41 | — | 3 | 32 | no | — |
| 690 | C2×#41 | — | 3 | 336 | no | — |
| 691 | C2×#41 | — | 3 | 2688 | no | — |
| 692 | C2×#41 | — | 3 | 1008 | no | — |
| 693 | C2×#41 | — | 3 | 672 | no | — |
| 694 | C2×#41 | — | 3 | 672 | no | — |
| 695 | C2×#41 | — | 3 | 10752 | no | — |
| 696 | C2×#41 | — | 3 | 4032 | no | — |
| 697 | C2×#41 | — | 3 | 4032 | no | — |
| 698 | C2×#41 | — | 3 | 10752 | no | — |
| 699 | C2×#41 | — | 3 | 64512 | no | — |
| 700 | C2×#41 | — | 3 | 5376 | no | — |
| 701 | C2×#41 | — | 3 | 10752 | no | — |
| 702 | C2×#41 | — | 3 | 10752 | no | — |
| 703 | C2×#41 | — | 3 | 10752 | no | — |
| 704 | C2×#41 | — | 3 | 64512 | no | — |
| 705 | C2×#41 | — | 3 | 32256 | no | — |
| 706 | C2×#41 | — | 3 | 10752 | no | — |
| 707 | C2×#41 | — | 3 | 16128 | no | — |
| 708 | C2×#41 | — | 3 | 5376 | no | — |
| 709 | C2×#41 | — | 3 | 1344 | no | — |
| 710 | C2×#41 | — | 3 | 1344 | no | — |
| 711 | C2×#41 | — | 3 | 5376 | no | — |
| 712 | C2×#41 | — | 3 | 4032 | no | — |
| 713 | C2×#41 | — | 3 | 8064 | no | — |
| 714 | C2×#41 | — | 3 | 16128 | no | — |
| 715 | C2×#41 | — | 3 | 8064 | no | — |
| 716 | C2×#41 | — | 3 | 8064 | no | — |
| 717 | C2×#41 | — | 3 | 5376 | no | — |
| 718 | C2×#41 | — | 3 | 2688 | no | — |
| 719 | C2×#41 | — | 3 | 2016 | no | — |
| 720 | C2×#41 | — | 3 | 672 | no | — |
| 721 | C2×#41 | — | 3 | 2016 | no | — |
| 722 | C2×#41 | — | 3 | 1536 | no | — |
| 723 | C2×#41 | — | 3 | 10752 | no | — |
| 724 | C2×#41 | — | 3 | 1536 | no | — |
| 725 | C2×#41 | — | 3 | 672 | no | — |
| 726 | C2×#41 | — | 3 | 672 | no | — |
| 727 | C2×#41 | — | 3 | 4032 | no | — |
| 728 | C2×#41 | — | 3 | 224 | no | — |
| 729 | C2×#41 | — | 3 | 1008 | no | — |
| 730 | C2×#41 | — | 3 | 2688 | no | — |
| 731 | C2×#41 | — | 3 | 2688 | no | — |
| 732 | C2×#41 | — | 3 | 384 | no | — |
| 733 | C2×#41 | — | 3 | 16128 | no | — |
| 734 | C2×#41 | — | 3 | 5376 | no | — |
| 735 | C2×#41 | — | 3 | 2688 | no | — |
| 736 | C2×#41 | — | 3 | 5376 | no | — |
| 737 | C2×#41 | — | 3 | 384 | no | — |
| 738 | C2×#41 | — | 3 | 768 | no | — |
| 739 | C2×#41 | — | 3 | 2688 | no | — |
| 740 | C2×#41 | — | 3 | 2688 | no | — |
| 741 | C2×#41 | — | 3 | 8064 | no | — |
| 742 | C2×#41 | — | 3 | 2688 | no | — |
| 743 | C2×#41 | — | 3 | 8064 | no | — |
| 744 | C2×#41 | — | 3 | 4032 | no | — |
| 745 | C2×#41 | — | 3 | 1344 | no | — |
| 746 | C2×#41 | — | 3 | 672 | no | — |
| 747 | C2×#41 | — | 3 | 224 | no | — |
| 748 | C2×#41 | — | 3 | 1008 | no | — |
| 749 | C2×#41 | — | 3 | 112 | no | — |
| 750 | C2×#41 | — | 3 | 32 | no | — |
| 751 | C2×#41 | — | 3 | 224 | no | — |
| 752 | C2×#41 | — | 3 | 112 | no | — |
| 753 | C2×#41 | — | 3 | 1344 | no | — |
| 754 | C2×#41 | — | 3 | 448 | no | — |
| 755 | C2×#41 | — | 3 | 896 | no | — |
| 756 | C2×#41 | — | 3 | 336 | no | — |
| 757 | C2×#41 | C23×A4 | 1 | 112 | yes | complemented |
| 758 | C22×Q8 | — | 3 | 28 | no | — |
| 759 | C22×Q8 | — | 3 | 448 | no | — |
| 760 | C22×Q8 | — | 3 | 64 | no | — |
| 761 | C22×Q8 | — | 3 | 168 | no | — |
| 762 | C22×Q8 | — | 3 | 252 | no | — |
| 763 | C22×Q8 | — | 3 | 672 | no | — |
| 764 | C22×Q8 | — | 3 | 168 | no | — |
| 765 | C22×Q8 | — | 3 | 2016 | no | — |
| 766 | C22×Q8 | — | 3 | 672 | no | — |
| 767 | C22×Q8 | — | 3 | 2688 | no | — |
| 768 | C22×Q8 | — | 3 | 2688 | no | — |
| 769 | C22×Q8 | — | 3 | 2688 | no | — |
| 770 | C22×Q8 | — | 3 | 4032 | no | — |
| 771 | C22×Q8 | — | 3 | 2016 | no | — |
| 772 | C22×Q8 | — | 3 | 504 | no | — |
| 773 | C22×Q8 | — | 3 | 2016 | no | — |
| 774 | C22×Q8 | — | 3 | 2016 | no | — |
| 775 | C22×Q8 | — | 3 | 168 | no | — |
| 776 | C22×Q8 | — | 3 | 252 | no | — |
| 777 | C22×Q8 | — | 3 | 252 | no | — |
| 778 | C22×Q8 | — | 3 | 504 | no | — |
| 779 | C22×Q8 | — | 3 | 672 | no | — |
| 780 | C22×Q8 | — | 3 | 2016 | no | — |
| 781 | C22×Q8 | — | 3 | 56 | no | — |
| 782 | C22×Q8 | — | 3 | 672 | no | — |
| 783 | C22×Q8 | — | 3 | 2016 | no | — |
| 784 | C22×Q8 | — | 3 | 1344 | no | — |
| 785 | C22×Q8 | — | 3 | 672 | no | — |
| 786 | C22×Q8 | — | 3 | 336 | no | — |
| 787 | C22×Q8 | — | 3 | 112 | no | — |
| 788 | C22×Q8 | — | 3 | 336 | no | — |
| 789 | C22×Q8 | — | 3 | 84 | no | — |
| 790 | C22×Q8 | — | 3 | 336 | no | — |
| 791 | C22×Q8 | — | 3 | 28 | no | — |
| 792 | C22×Q8 | — | 3 | 112 | no | — |
| 793 | C22×Q8 | — | 3 | 14 | no | — |
| 794 | C22×Q8 | — | 3 | 768 | no | — |
| 795 | C22×Q8 | — | 3 | 5376 | no | — |
| 796 | C22×Q8 | — | 3 | 768 | no | — |
| 797 | C22×Q8 | — | 3 | 1344 | no | — |
| 798 | C22×Q8 | — | 3 | 1344 | no | — |
| 799 | C22×Q8 | — | 3 | 8064 | no | — |
| 800 | C22×Q8 | — | 3 | 10752 | no | — |
| 801 | C22×Q8 | — | 3 | 8064 | no | — |
| 802 | C22×Q8 | — | 3 | 10752 | no | — |
| 803 | C22×Q8 | — | 3 | 32256 | no | — |
| 804 | C22×Q8 | — | 3 | 5376 | no | — |
| 805 | C22×Q8 | — | 3 | 5376 | no | — |
| 806 | C22×Q8 | — | 3 | 32256 | no | — |
| 807 | C22×Q8 | — | 3 | 5376 | no | — |
| 808 | C22×Q8 | — | 3 | 2688 | no | — |
| 809 | C22×Q8 | — | 3 | 8064 | no | — |
| 810 | C22×Q8 | — | 3 | 10752 | no | — |
| 811 | C22×Q8 | — | 3 | 2688 | no | — |
| 812 | C22×Q8 | — | 3 | 4032 | no | — |
| 813 | C22×Q8 | — | 3 | 1344 | no | — |
| 814 | C22×Q8 | — | 3 | 4032 | no | — |
| 815 | C22×Q8 | — | 3 | 8064 | no | — |
| 816 | C22×Q8 | — | 3 | 2688 | no | — |
| 817 | C22×Q8 | — | 3 | 8064 | no | — |
| 818 | C22×Q8 | — | 3 | 1344 | no | — |
| 819 | C22×Q8 | — | 3 | 1344 | no | — |
| 820 | C22×Q8 | — | 3 | 8064 | no | — |
| 821 | C22×Q8 | — | 3 | 2016 | no | — |
| 822 | C22×Q8 | — | 3 | 672 | no | — |
| 823 | C22×Q8 | — | 3 | 2688 | no | — |
| 824 | C22×Q8 | — | 3 | 2016 | no | — |
| 825 | C22×Q8 | — | 3 | 448 | no | — |
| 826 | C22×Q8 | — | 3 | 1344 | no | — |
| 827 | C22×Q8 | — | 3 | 4032 | no | — |
| 828 | C22×Q8 | — | 3 | 1344 | no | — |
| 829 | C22×Q8 | — | 3 | 224 | no | — |
| 830 | C22×Q8 | — | 3 | 2016 | no | — |
| 831 | C22×Q8 | — | 3 | 1344 | no | — |
| 832 | C22×Q8 | — | 3 | 448 | no | — |
| 833 | C22×Q8 | — | 3 | 28 | no | — |
| 834 | C22×Q8 | — | 3 | 84 | no | — |
| 835 | C22×Q8 | — | 3 | 224 | no | — |
| 836 | C22×Q8 | — | 3 | 64 | no | — |
| 837 | C22×Q8 | — | 3 | 448 | no | — |
| 838 | C22×Q8 | — | 3 | 64 | no | — |
| 839 | C22×Q8 | — | 3 | 112 | no | — |
| 840 | C22×Q8 | — | 3 | 28 | no | — |
| 841 | C22×Q8 | — | 3 | 112 | no | — |
| 842 | C22×Q8 | — | 3 | 7 | no | — |
| 843 | C22×Q8 | — | 3 | 16 | no | — |
| 844 | C22×Q8 | — | 3 | 672 | no | — |
| 845 | C22×Q8 | C23×A4 | 1 | 28 | yes | — |
| 846 | C22×Q8 | C23×A4 | 1 | 224 | yes | complemented |
| 847 | C22×Q8 | C25×C3 | 1 | 1 | yes | characteristic |
| 848 | C22×D4 | — | 3 | 56 | no | — |
| 849 | C22×D4 | — | 3 | 8 | no | — |
| 850 | C22×D4 | — | 3 | 336 | no | — |
| 851 | C22×D4 | — | 3 | 1008 | no | — |
| 852 | C22×D4 | — | 3 | 336 | no | — |
| 853 | C22×D4 | — | 3 | 1008 | no | — |
| 854 | C22×D4 | — | 3 | 1344 | no | — |
| 855 | C22×D4 | — | 3 | 1344 | no | — |
| 856 | C22×D4 | — | 3 | 5376 | no | — |
| 857 | C22×D4 | — | 3 | 4032 | no | — |
| 858 | C22×D4 | — | 3 | 2016 | no | — |
| 859 | C22×D4 | — | 3 | 1008 | no | — |
| 860 | C22×D4 | — | 3 | 1008 | no | — |
| 861 | C22×D4 | — | 3 | 2688 | no | — |
| 862 | C22×D4 | — | 3 | 1344 | no | — |
| 863 | C22×D4 | — | 3 | 4032 | no | — |
| 864 | C22×D4 | — | 3 | 1344 | no | — |
| 865 | C22×D4 | — | 3 | 672 | no | — |
| 866 | C22×D4 | — | 3 | 896 | no | — |
| 867 | C22×D4 | — | 3 | 672 | no | — |
| 868 | C22×D4 | — | 3 | 56 | no | — |
| 869 | C22×D4 | — | 3 | 168 | no | — |
| 870 | C22×D4 | — | 3 | 168 | no | — |
| 871 | C22×D4 | — | 3 | 56 | no | — |
| 872 | C22×D4 | — | 3 | 56 | no | — |
| 873 | C22×D4 | — | 3 | 336 | no | — |
| 874 | C22×D4 | — | 3 | 128 | no | — |
| 875 | C22×D4 | — | 3 | 224 | no | — |
| 876 | C22×D4 | — | 3 | 56 | no | — |
| 877 | C22×D4 | — | 3 | 112 | no | — |
| 878 | C22×D4 | — | 3 | 336 | no | — |
| 879 | C22×D4 | — | 3 | 112 | no | — |
| 880 | C22×D4 | — | 3 | 224 | no | — |
| 881 | C22×D4 | — | 3 | 448 | no | — |
| 882 | C22×D4 | — | 3 | 28 | no | — |
| 883 | C22×D4 | C23×A4 | 1 | 64 | yes | — |
| 884 | C22×D4 | C2×C22⋊A4 | 1 | 28 | yes | — |
| 885 | C23×C4 | — | 3 | 504 | no | — |
| 886 | C23×C4 | — | 3 | 126 | no | — |
| 887 | C23×C4 | — | 3 | 126 | no | — |
| 888 | C23×C4 | — | 3 | 336 | no | — |
| 889 | C23×C4 | — | 3 | 168 | no | — |
| 890 | C23×C4 | — | 3 | 168 | no | — |
| 891 | C23×C4 | — | 3 | 168 | no | — |
| 892 | C23×C4 | — | 3 | 42 | no | — |
| 893 | C23×C4 | — | 3 | 84 | no | — |
| 894 | C23×C4 | — | 3 | 42 | no | — |
| 895 | C23×C4 | — | 3 | 14 | no | — |
| 896 | C23×C4 | — | 3 | 56 | no | — |
| 897 | C23×C4 | — | 3 | 2688 | no | — |
| 898 | C23×C4 | — | 3 | 5376 | no | — |
| 899 | C23×C4 | — | 3 | 2688 | no | — |
| 900 | C23×C4 | — | 3 | 2688 | no | — |
| 901 | C23×C4 | — | 3 | 1344 | no | — |
| 902 | C23×C4 | — | 3 | 1344 | no | — |
| 903 | C23×C4 | — | 3 | 2016 | no | — |
| 904 | C23×C4 | — | 3 | 8064 | no | — |
| 905 | C23×C4 | — | 3 | 2016 | no | — |
| 906 | C23×C4 | — | 3 | 1008 | no | — |
| 907 | C23×C4 | — | 3 | 2688 | no | — |
| 908 | C23×C4 | — | 3 | 1008 | no | — |
| 909 | C23×C4 | — | 3 | 672 | no | — |
| 910 | C23×C4 | — | 3 | 336 | no | — |
| 911 | C23×C4 | — | 3 | 2016 | no | — |
| 912 | C23×C4 | — | 3 | 1008 | no | — |
| 913 | C23×C4 | — | 3 | 336 | no | — |
| 914 | C23×C4 | — | 3 | 2016 | no | — |
| 915 | C23×C4 | — | 3 | 2016 | no | — |
| 916 | C23×C4 | — | 3 | 1008 | no | — |
| 917 | C23×C4 | — | 3 | 1008 | no | — |
| 918 | C23×C4 | — | 3 | 504 | no | — |
| 919 | C23×C4 | — | 3 | 336 | no | — |
| 920 | C23×C4 | — | 3 | 168 | no | — |
| 921 | C23×C4 | — | 3 | 504 | no | — |
| 922 | C23×C4 | — | 3 | 168 | no | — |
| 923 | C23×C4 | — | 3 | 1008 | no | — |
| 924 | C23×C4 | — | 3 | 1008 | no | — |
| 925 | C23×C4 | — | 3 | 336 | no | — |
| 926 | C23×C4 | — | 3 | 224 | no | — |
| 927 | C23×C4 | — | 3 | 672 | no | — |
| 928 | C23×C4 | — | 3 | 336 | no | — |
| 929 | C23×C4 | — | 3 | 168 | no | — |
| 930 | C23×C4 | — | 3 | 168 | no | — |
| 931 | C23×C4 | — | 3 | 128 | no | — |
| 932 | C23×C4 | — | 3 | 56 | no | — |
| 933 | C23×C4 | — | 3 | 21 | no | — |
| 934 | C23×C4 | — | 3 | 7 | no | — |
| 935 | C23×C4 | — | 3 | 16 | no | — |
| 936 | C23×C4 | — | 3 | 112 | no | — |
| 937 | C23×C4 | — | 3 | 112 | no | — |
| 938 | C23×C4 | — | 3 | 112 | no | — |
| 939 | C23×C4 | — | 3 | 8 | no | — |
| 940 | C23×C4 | — | 3 | 4 | no | — |
| 941 | C23×C4 | — | 3 | 1 | no | — |
| 942 | C23×C4 | — | 3 | 56 | no | — |
| 943 | C23×C4 | — | 3 | 8 | no | — |
| 944 | C23×C4 | — | 3 | 14 | no | — |
| 945 | C23×C4 | — | 3 | 14 | no | — |
| 946 | C23×C4 | — | 3 | 56 | no | — |
| 947 | C23×C4 | — | 3 | 56 | no | — |
| 948 | C23×C4 | — | 3 | 14 | no | — |
| 949 | C23×C4 | — | 3 | 84 | no | — |
| 950 | C23×C4 | C23×A4 | 1 | 28 | yes | — |
| 951 | C23×C4 | C2×C22⋊A4 | 1 | 1 | yes | characteristic |
| 952 | C23×C3 | — | 16 | 7 | no | — |
| 953 | C23×C3 | — | 16 | 56 | no | — |
| 954 | C23×C3 | — | 16 | 8 | no | — |
| 955 | C23×C3 | — | 32 | 112 | no | — |
| 956 | C2×A4 | — | 4 | 1 | no | — |
| 957 | C2×A4 | — | 4 | 14 | no | — |
| 958 | C2×A4 | — | 8 | 16 | no | — |
| 959 | C3×D4 | — | 16 | 64 | no | — |
| 960 | C2×C3×C4 | — | 16 | 28 | no | — |
| 961 | SL(2,𝔽3) | — | 4 | 4 | no | — |
| 962 | C24 | — | 2 | 16 | no | — |
| 963 | C24 | — | 2 | 112 | no | — |
| 964 | C24 | — | 3 | 21 | no | — |
| 965 | C24 | — | 3 | 56 | no | — |
| 966 | C24 | — | 3 | 28 | no | — |
| 967 | C24 | — | 3 | 14 | no | — |
| 968 | C24 | — | 3 | 56 | no | — |
| 969 | C24 | — | 3 | 7 | no | — |
| 970 | C24 | — | 3 | 7 | no | — |
| 971 | C24 | — | 3 | 8 | no | — |
| 972 | C24 | — | 3 | 8 | no | — |
| 973 | C24 | — | 3 | 168 | no | — |
| 974 | C24 | — | 3 | 336 | no | — |
| 975 | C24 | — | 3 | 224 | no | — |
| 976 | C24 | — | 3 | 168 | no | — |
| 977 | C24 | — | 3 | 504 | no | — |
| 978 | C24 | — | 3 | 168 | no | — |
| 979 | C24 | — | 3 | 112 | no | — |
| 980 | C24 | — | 3 | 56 | no | — |
| 981 | C24 | — | 3 | 168 | no | — |
| 982 | C24 | — | 3 | 28 | no | — |
| 983 | C24 | — | 3 | 56 | no | — |
| 984 | C24 | — | 3 | 56 | no | — |
| 985 | C24 | — | 3 | 8 | no | — |
| 986 | C24 | — | 6 | 112 | no | — |
| 987 | C24 | — | 6 | 224 | no | — |
| 988 | C24 | — | 6 | 112 | no | — |
| 989 | C24 | — | 6 | 112 | no | — |
| 990 | C24 | — | 6 | 672 | no | — |
| 991 | C24 | — | 6 | 112 | no | — |
| 992 | C24 | — | 6 | 112 | no | — |
| 993 | C24 | — | 6 | 1008 | no | — |
| 994 | C24 | — | 6 | 168 | no | — |
| 995 | C24 | — | 6 | 672 | no | — |
| 996 | C24 | — | 6 | 896 | no | — |
| 997 | C24 | — | 6 | 1008 | no | — |
| 998 | C24 | — | 6 | 1344 | no | — |
| 999 | C24 | — | 6 | 224 | no | — |
| 1000 | C24 | — | 6 | 672 | no | — |
| 1001 | C24 | — | 6 | 336 | no | — |
| 1002 | C24 | — | 6 | 336 | no | — |
| 1003 | C24 | — | 6 | 56 | no | — |
| 1004 | C24 | — | 6 | 16 | no | — |
| 1005 | C24 | — | 6 | 32 | no | — |
| 1006 | C24 | C2×2−1+4⋊C3 | 1 | 28 | yes | complemented |
| 1007 | C24 | C24×A4 | 1 | 16 | yes | — |
| 1008 | C24 | C24×A4 | 1 | 7 | yes | — |
| 1009 | C24 | C22×C22⋊A4 | 1 | 28 | yes | — |
| 1010 | C24 | C22×C22⋊A4 | 1 | 1 | yes | characteristic |
| 1011 | #41 | — | 3 | 96 | no | — |
| 1012 | #41 | — | 3 | 1536 | no | — |
| 1013 | #41 | — | 3 | 672 | no | — |
| 1014 | #41 | — | 3 | 672 | no | — |
| 1015 | #41 | — | 3 | 1536 | no | — |
| 1016 | #41 | — | 3 | 10752 | no | — |
| 1017 | #41 | — | 3 | 21504 | no | — |
| 1018 | #41 | — | 3 | 10752 | no | — |
| 1019 | #41 | — | 3 | 10752 | no | — |
| 1020 | #41 | — | 3 | 3072 | no | — |
| 1021 | #41 | — | 3 | 1536 | no | — |
| 1022 | #41 | — | 3 | 4032 | no | — |
| 1023 | #41 | — | 3 | 1344 | no | — |
| 1024 | #41 | — | 3 | 1344 | no | — |
| 1025 | #41 | — | 3 | 1536 | no | — |
| 1026 | #41 | — | 3 | 1536 | no | — |
| 1027 | #41 | — | 3 | 10752 | no | — |
| 1028 | #41 | — | 3 | 3584 | no | — |
| 1029 | #41 | — | 3 | 10752 | no | — |
| 1030 | #41 | — | 3 | 5376 | no | — |
| 1031 | #41 | — | 3 | 768 | no | — |
| 1032 | #41 | — | 3 | 1344 | no | — |
| 1033 | #41 | — | 3 | 448 | no | — |
| 1034 | #41 | — | 3 | 672 | no | — |
| 1035 | #41 | — | 3 | 32 | no | — |
| 1036 | #41 | — | 3 | 32 | no | — |
| 1037 | #41 | — | 3 | 1792 | no | — |
| 1038 | #41 | — | 3 | 256 | no | — |
| 1039 | #41 | — | 3 | 512 | no | — |
| 1040 | #41 | — | 3 | 224 | no | — |
| 1041 | #41 | C24×A4 | 1 | 32 | yes | complemented |
| 1042 | C2×Q8 | — | 3 | 256 | no | — |
| 1043 | C2×Q8 | — | 3 | 84 | no | — |
| 1044 | C2×Q8 | — | 3 | 84 | no | — |
| 1045 | C2×Q8 | — | 3 | 504 | no | — |
| 1046 | C2×Q8 | — | 3 | 192 | no | — |
| 1047 | C2×Q8 | — | 3 | 1344 | no | — |
| 1048 | C2×Q8 | — | 3 | 8064 | no | — |
| 1049 | C2×Q8 | — | 3 | 672 | no | — |
| 1050 | C2×Q8 | — | 3 | 1344 | no | — |
| 1051 | C2×Q8 | — | 3 | 504 | no | — |
| 1052 | C2×Q8 | — | 3 | 2688 | no | — |
| 1053 | C2×Q8 | — | 3 | 1344 | no | — |
| 1054 | C2×Q8 | — | 3 | 168 | no | — |
| 1055 | C2×Q8 | — | 3 | 384 | no | — |
| 1056 | C2×Q8 | — | 3 | 2688 | no | — |
| 1057 | C2×Q8 | — | 3 | 384 | no | — |
| 1058 | C2×Q8 | — | 3 | 2016 | no | — |
| 1059 | C2×Q8 | — | 3 | 168 | no | — |
| 1060 | C2×Q8 | — | 3 | 672 | no | — |
| 1061 | C2×Q8 | — | 3 | 56 | no | — |
| 1062 | C2×Q8 | — | 3 | 672 | no | — |
| 1063 | C2×Q8 | — | 3 | 252 | no | — |
| 1064 | C2×Q8 | — | 3 | 1344 | no | — |
| 1065 | C2×Q8 | — | 3 | 28 | no | — |
| 1066 | C2×Q8 | — | 3 | 1344 | no | — |
| 1067 | C2×Q8 | — | 3 | 192 | no | — |
| 1068 | C2×Q8 | — | 3 | 1536 | no | — |
| 1069 | C2×Q8 | — | 3 | 1344 | no | — |
| 1070 | C2×Q8 | — | 3 | 8064 | no | — |
| 1071 | C2×Q8 | — | 3 | 2688 | no | — |
| 1072 | C2×Q8 | — | 3 | 2688 | no | — |
| 1073 | C2×Q8 | — | 3 | 10752 | no | — |
| 1074 | C2×Q8 | — | 3 | 1536 | no | — |
| 1075 | C2×Q8 | — | 3 | 10752 | no | — |
| 1076 | C2×Q8 | — | 3 | 1792 | no | — |
| 1077 | C2×Q8 | — | 3 | 5376 | no | — |
| 1078 | C2×Q8 | — | 3 | 768 | no | — |
| 1079 | C2×Q8 | — | 3 | 64 | no | — |
| 1080 | C2×Q8 | — | 3 | 1344 | no | — |
| 1081 | C2×Q8 | — | 3 | 2688 | no | — |
| 1082 | C2×Q8 | — | 3 | 896 | no | — |
| 1083 | C2×Q8 | — | 3 | 4 | no | — |
| 1084 | C2×Q8 | — | 3 | 28 | no | — |
| 1085 | C2×Q8 | — | 3 | 64 | no | — |
| 1086 | C2×Q8 | — | 3 | 448 | no | — |
| 1087 | C2×Q8 | — | 3 | 84 | no | — |
| 1088 | C2×Q8 | — | 3 | 224 | no | — |
| 1089 | C2×Q8 | — | 3 | 448 | no | — |
| 1090 | C2×Q8 | C24×A4 | 1 | 28 | yes | — |
| 1091 | C2×Q8 | C24×A4 | 1 | 64 | yes | complemented |
| 1092 | C2×D4 | — | 3 | 112 | no | — |
| 1093 | C2×D4 | — | 3 | 96 | no | — |
| 1094 | C2×D4 | — | 3 | 672 | no | — |
| 1095 | C2×D4 | — | 3 | 5376 | no | — |
| 1096 | C2×D4 | — | 3 | 4032 | no | — |
| 1097 | C2×D4 | — | 3 | 672 | no | — |
| 1098 | C2×D4 | — | 3 | 672 | no | — |
| 1099 | C2×D4 | — | 3 | 768 | no | — |
| 1100 | C2×D4 | — | 3 | 5376 | no | — |
| 1101 | C2×D4 | — | 3 | 768 | no | — |
| 1102 | C2×D4 | — | 3 | 896 | no | — |
| 1103 | C2×D4 | — | 3 | 2688 | no | — |
| 1104 | C2×D4 | — | 3 | 336 | no | — |
| 1105 | C2×D4 | — | 3 | 1008 | no | — |
| 1106 | C2×D4 | — | 3 | 336 | no | — |
| 1107 | C2×D4 | — | 3 | 224 | no | — |
| 1108 | C2×D4 | — | 3 | 448 | no | — |
| 1109 | C2×D4 | — | 3 | 896 | no | — |
| 1110 | C2×D4 | — | 3 | 224 | no | — |
| 1111 | C2×D4 | — | 3 | 64 | no | — |
| 1112 | C2×D4 | — | 3 | 448 | no | — |
| 1113 | C2×D4 | — | 3 | 64 | no | — |
| 1114 | C2×D4 | — | 3 | 128 | no | — |
| 1115 | C2×D4 | — | 3 | 112 | no | — |
| 1116 | C2×D4 | C22×C22⋊A4 | 1 | 112 | yes | — |
| 1117 | C22×C4 | — | 3 | 336 | no | — |
| 1118 | C22×C4 | — | 3 | 126 | no | — |
| 1119 | C22×C4 | — | 3 | 42 | no | — |
| 1120 | C22×C4 | — | 3 | 672 | no | — |
| 1121 | C22×C4 | — | 3 | 168 | no | — |
| 1122 | C22×C4 | — | 3 | 168 | no | — |
| 1123 | C22×C4 | — | 3 | 1008 | no | — |
| 1124 | C22×C4 | — | 3 | 252 | no | — |
| 1125 | C22×C4 | — | 3 | 336 | no | — |
| 1126 | C22×C4 | — | 3 | 126 | no | — |
| 1127 | C22×C4 | — | 3 | 252 | no | — |
| 1128 | C22×C4 | — | 3 | 42 | no | — |
| 1129 | C22×C4 | — | 3 | 84 | no | — |
| 1130 | C22×C4 | — | 3 | 112 | no | — |
| 1131 | C22×C4 | — | 3 | 4032 | no | — |
| 1132 | C22×C4 | — | 3 | 10752 | no | — |
| 1133 | C22×C4 | — | 3 | 1344 | no | — |
| 1134 | C22×C4 | — | 3 | 2016 | no | — |
| 1135 | C22×C4 | — | 3 | 1536 | no | — |
| 1136 | C22×C4 | — | 3 | 672 | no | — |
| 1137 | C22×C4 | — | 3 | 96 | no | — |
| 1138 | C22×C4 | — | 3 | 672 | no | — |
| 1139 | C22×C4 | — | 3 | 96 | no | — |
| 1140 | C22×C4 | — | 3 | 1344 | no | — |
| 1141 | C22×C4 | — | 3 | 4032 | no | — |
| 1142 | C22×C4 | — | 3 | 672 | no | — |
| 1143 | C22×C4 | — | 3 | 336 | no | — |
| 1144 | C22×C4 | — | 3 | 48 | no | — |
| 1145 | C22×C4 | — | 3 | 336 | no | — |
| 1146 | C22×C4 | — | 3 | 48 | no | — |
| 1147 | C22×C4 | — | 3 | 2016 | no | — |
| 1148 | C22×C4 | — | 3 | 672 | no | — |
| 1149 | C22×C4 | — | 3 | 2016 | no | — |
| 1150 | C22×C4 | — | 3 | 896 | no | — |
| 1151 | C22×C4 | — | 3 | 2688 | no | — |
| 1152 | C22×C4 | — | 3 | 672 | no | — |
| 1153 | C22×C4 | — | 3 | 1008 | no | — |
| 1154 | C22×C4 | — | 3 | 336 | no | — |
| 1155 | C22×C4 | — | 3 | 112 | no | — |
| 1156 | C22×C4 | — | 3 | 28 | no | — |
| 1157 | C22×C4 | — | 3 | 28 | no | — |
| 1158 | C22×C4 | — | 3 | 14 | no | — |
| 1159 | C22×C4 | — | 3 | 224 | no | — |
| 1160 | C22×C4 | — | 3 | 672 | no | — |
| 1161 | C22×C4 | — | 3 | 16 | no | — |
| 1162 | C22×C4 | — | 3 | 7 | no | — |
| 1163 | C22×C4 | — | 3 | 1 | no | — |
| 1164 | C22×C4 | — | 3 | 28 | no | — |
| 1165 | C22×C4 | — | 3 | 84 | no | — |
| 1166 | C22×C4 | — | 3 | 336 | no | — |
| 1167 | C22×C4 | — | 3 | 112 | no | — |
| 1168 | C22×C4 | — | 3 | 28 | no | — |
| 1169 | C22×C4 | — | 3 | 56 | no | — |
| 1170 | C22×C4 | C24×A4 | 1 | 8 | yes | — |
| 1171 | C22×C4 | C22×C22⋊A4 | 1 | 14 | yes | — |
| 1172 | C22×C3 | — | 16 | 28 | no | — |
| 1173 | C22×C3 | — | 16 | 7 | no | — |
| 1174 | C22×C3 | — | 16 | 16 | no | — |
| 1175 | C22×C3 | — | 32 | 112 | no | — |
| 1176 | A4 | — | 4 | 1 | no | — |
| 1177 | C3×C4 | — | 16 | 8 | no | — |
| 1178 | C23 | — | 2 | 112 | no | — |
| 1179 | C23 | — | 2 | 16 | no | — |
| 1180 | C23 | — | 3 | 7 | no | — |
| 1181 | C23 | — | 3 | 84 | no | — |
| 1182 | C23 | — | 3 | 14 | no | — |
| 1183 | C23 | — | 3 | 14 | no | — |
| 1184 | C23 | — | 3 | 84 | no | — |
| 1185 | C23 | — | 3 | 112 | no | — |
| 1186 | C23 | — | 3 | 56 | no | — |
| 1187 | C23 | — | 3 | 28 | no | — |
| 1188 | C23 | — | 3 | 28 | no | — |
| 1189 | C23 | — | 3 | 21 | no | — |
| 1190 | C23 | — | 3 | 7 | no | — |
| 1191 | C23 | — | 3 | 112 | no | — |
| 1192 | C23 | — | 3 | 336 | no | — |
| 1193 | C23 | — | 3 | 48 | no | — |
| 1194 | C23 | — | 3 | 16 | no | — |
| 1195 | C23 | — | 3 | 112 | no | — |
| 1196 | C23 | — | 3 | 56 | no | — |
| 1197 | C23 | — | 3 | 16 | no | — |
| 1198 | C23 | — | 3 | 112 | no | — |
| 1199 | C23 | — | 6 | 112 | no | — |
| 1200 | C23 | — | 6 | 672 | no | — |
| 1201 | C23 | — | 6 | 112 | no | — |
| 1202 | C23 | — | 6 | 16 | no | — |
| 1203 | C23 | — | 6 | 224 | no | — |
| 1204 | C23 | — | 6 | 112 | no | — |
| 1205 | C23 | — | 6 | 112 | no | — |
| 1206 | C23 | — | 6 | 24 | no | — |
| 1207 | C23 | — | 6 | 336 | no | — |
| 1208 | C23 | — | 6 | 224 | no | — |
| 1209 | C23 | — | 6 | 896 | no | — |
| 1210 | C23 | — | 6 | 336 | no | — |
| 1211 | C23 | — | 6 | 1344 | no | — |
| 1212 | C23 | — | 6 | 672 | no | — |
| 1213 | C23 | — | 6 | 2016 | no | — |
| 1214 | C23 | — | 6 | 336 | no | — |
| 1215 | C23 | — | 6 | 336 | no | — |
| 1216 | C23 | — | 6 | 112 | no | — |
| 1217 | C23 | — | 6 | 224 | no | — |
| 1218 | C23 | — | 6 | 8 | no | — |
| 1219 | C23 | C22×2−1+4⋊C3 | 1 | 14 | yes | complemented |
| 1220 | C23 | #87545 | 1 | 8 | yes | direct product factor |
| 1221 | C23 | C23×C22⋊A4 | 1 | 56 | yes | — |
| 1222 | C23 | C23×C22⋊A4 | 1 | 7 | yes | — |
| 1223 | C23 | C25×A4 | 1 | 1 | yes | characteristic |
| 1224 | Q8 | — | 3 | 28 | no | — |
| 1225 | Q8 | — | 3 | 64 | no | — |
| 1226 | Q8 | — | 3 | 1344 | no | — |
| 1227 | Q8 | — | 3 | 168 | no | — |
| 1228 | Q8 | — | 3 | 448 | no | — |
| 1229 | Q8 | — | 3 | 56 | no | — |
| 1230 | Q8 | — | 3 | 192 | no | — |
| 1231 | Q8 | — | 3 | 84 | no | — |
| 1232 | Q8 | — | 3 | 768 | no | — |
| 1233 | Q8 | — | 3 | 4 | no | — |
| 1234 | Q8 | — | 3 | 256 | no | — |
| 1235 | Q8 | C25×A4 | 1 | 4 | yes | — |
| 1236 | D4 | — | 3 | 32 | no | — |
| 1237 | D4 | — | 3 | 1536 | no | — |
| 1238 | D4 | — | 3 | 224 | no | — |
| 1239 | D4 | — | 3 | 672 | no | — |
| 1240 | D4 | — | 3 | 96 | no | — |
| 1241 | D4 | — | 3 | 128 | no | — |
| 1242 | D4 | — | 3 | 512 | no | — |
| 1243 | D4 | — | 3 | 128 | no | — |
| 1244 | D4 | — | 3 | 64 | no | — |
| 1245 | D4 | C23×C22⋊A4 | 1 | 64 | yes | — |
| 1246 | C2×C4 | — | 3 | 672 | no | — |
| 1247 | C2×C4 | — | 3 | 252 | no | — |
| 1248 | C2×C4 | — | 3 | 96 | no | — |
| 1249 | C2×C4 | — | 3 | 42 | no | — |
| 1250 | C2×C4 | — | 3 | 84 | no | — |
| 1251 | C2×C4 | — | 3 | 6 | no | — |
| 1252 | C2×C4 | — | 3 | 56 | no | — |
| 1253 | C2×C4 | — | 3 | 1344 | no | — |
| 1254 | C2×C4 | — | 3 | 512 | no | — |
| 1255 | C2×C4 | — | 3 | 1536 | no | — |
| 1256 | C2×C4 | — | 3 | 192 | no | — |
| 1257 | C2×C4 | — | 3 | 672 | no | — |
| 1258 | C2×C4 | — | 3 | 96 | no | — |
| 1259 | C2×C4 | — | 3 | 224 | no | — |
| 1260 | C2×C4 | — | 3 | 84 | no | — |
| 1261 | C2×C4 | — | 3 | 28 | no | — |
| 1262 | C2×C4 | — | 3 | 28 | no | — |
| 1263 | C2×C4 | — | 3 | 64 | no | — |
| 1264 | C2×C4 | — | 3 | 448 | no | — |
| 1265 | C2×C4 | — | 3 | 8 | no | — |
| 1266 | C2×C4 | — | 3 | 56 | no | — |
| 1267 | C2×C4 | — | 3 | 224 | no | — |
| 1268 | C2×C4 | — | 3 | 32 | no | — |
| 1269 | C2×C4 | — | 3 | 8 | no | — |
| 1270 | C2×C4 | C23×C22⋊A4 | 1 | 28 | yes | — |
| 1271 | C2×C3 | — | 16 | 14 | no | — |
| 1272 | C2×C3 | — | 16 | 1 | no | — |
| 1273 | C2×C3 | — | 32 | 16 | no | — |
| 1274 | C22 | — | 2 | 112 | no | — |
| 1275 | C22 | — | 3 | 1 | no | — |
| 1276 | C22 | — | 3 | 14 | no | — |
| 1277 | C22 | — | 3 | 14 | no | — |
| 1278 | C22 | — | 3 | 56 | no | — |
| 1279 | C22 | — | 3 | 84 | no | — |
| 1280 | C22 | — | 3 | 14 | no | — |
| 1281 | C22 | — | 3 | 14 | no | — |
| 1282 | C22 | — | 3 | 7 | no | — |
| 1283 | C22 | — | 3 | 1 | no | — |
| 1284 | C22 | — | 3 | 16 | no | — |
| 1285 | C22 | — | 3 | 32 | no | — |
| 1286 | C22 | — | 6 | 16 | no | — |
| 1287 | C22 | — | 6 | 224 | no | — |
| 1288 | C22 | — | 6 | 16 | no | — |
| 1289 | C22 | — | 6 | 16 | no | — |
| 1290 | C22 | — | 6 | 16 | no | — |
| 1291 | C22 | — | 6 | 224 | no | — |
| 1292 | C22 | — | 6 | 48 | no | — |
| 1293 | C22 | — | 6 | 672 | no | — |
| 1294 | C22 | — | 6 | 48 | no | — |
| 1295 | C22 | — | 6 | 112 | no | — |
| 1296 | C22 | — | 6 | 224 | no | — |
| 1297 | C22 | C2×#87545 | 1 | 28 | yes | direct product factor |
| 1298 | C22 | C23×2−1+4⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 1299 | C22 | C24×C22⋊A4 | 1 | 16 | yes | — |
| 1300 | C22 | C24×C22⋊A4 | 1 | 7 | yes | — |
| 1301 | C4 | — | 3 | 64 | no | — |
| 1302 | C4 | — | 3 | 28 | no | — |
| 1303 | C4 | — | 3 | 4 | no | — |
| 1304 | C4 | — | 3 | 8 | no | — |
| 1305 | C4 | C24×C22⋊A4 | 1 | 8 | yes | — |
| 1306 | C3 | — | 16 | 1 | no | Sylow |
| 1307 | C2 | — | 2 | 16 | no | — |
| 1308 | C2 | — | 3 | 1 | no | — |
| 1309 | C2 | — | 3 | 14 | no | — |
| 1310 | C2 | — | 3 | 1 | no | — |
| 1311 | C2 | — | 6 | 16 | no | — |
| 1312 | C2 | — | 6 | 32 | no | — |
| 1313 | C2 | C25×C22⋊A4 | 1 | 1 | yes | characteristic |
| 1314 | C2 | C22×#87545 | 1 | 14 | yes | direct product factor |
| subgroup | G/H | |
|---|---|---|
| center | C24 | C22×C22⋊A4 |
| commutator, cosocle, hypocenter | C22×Q8 | C25×C3 |
| Frattini | C2 | C25×C22⋊A4 |
| Fitting | C25×2−1+4 | C3 |
| socle | C26 | C22×A4 |
| hypercenter | C23×D4 | C22⋊A4 |
| LCS | G ▷ C22×Q8 | |
| UCS | C1 ◁ C24 ◁ C23×D4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C24×C22⋊SL(2,𝔽3) | C2 | semidirect |
| 2. C23×#5948 | C2 | semidirect |
| 3. C25×2−1+4 | C3 | semidirect |
| 4. C22×#87545 | C2 | direct (N × H) |
| 6. C2×#87545 | C22 | direct (N × H) |
| 7. C22×#5948 | C22 | semidirect |
| 9. C23×C22⋊SL(2,𝔽3) | C22 | semidirect |
| 16. C24×2−1+4 | C2×C3 | semidirect |
| 19. C25×#41 | C2×C3 | semidirect |
| 21. C26×Q8 | C2×C3 | semidirect |
| 23. #87545 | C23 | direct (N × H) |
| 24. C2×#5948 | C23 | semidirect |
| 26. C22×C22⋊SL(2,𝔽3) | C23 | semidirect |
| 57. C23×2−1+4 | A4 | semidirect |
| 58. C23×2−1+4 | C22×C3 | semidirect |
| 74. C24×#41 | C22×C3 | semidirect |
| 87. C25×Q8 | C22×C3 | semidirect |
| 98. #5948 | C24 | semidirect |
| 100. C2×C22⋊SL(2,𝔽3) | C24 | semidirect |
| 156. C22×2−1+4 | C2×A4 | semidirect |
| 157. C22×2−1+4 | C23×C3 | semidirect |
| 211. C23×#41 | C2×A4 | semidirect |
| 212. C23×#41 | C23×C3 | semidirect |
| 257. C24×Q8 | C2×A4 | semidirect |
| 259. C24×Q8 | C23×C3 | semidirect |
| 365. C2×2−1+4 | C22×A4 | semidirect |
| 448. C22×#41 | C22×A4 | semidirect |
| 449. C22×#41 | C24×C3 | semidirect |
| 535. C23×Q8 | C22×A4 | semidirect |
| 537. C23×Q8 | C24×C3 | semidirect |
| 658. C25 | 2−1+4⋊C3 | semidirect |
| 688. 2−1+4 | C23×A4 | semidirect |
| 757. C2×#41 | C23×A4 | semidirect |
| 846. C22×Q8 | C23×A4 | semidirect |
| 1006. C24 | C2×2−1+4⋊C3 | semidirect |
| 1041. #41 | C24×A4 | semidirect |
| 1091. C2×Q8 | C24×A4 | semidirect |
| 1219. C23 | C22×2−1+4⋊C3 | semidirect |
| 1220. C23 | #87545 | direct (N × H) |
| 1297. C22 | C2×#87545 | direct (N × H) |
| 1298. C22 | C23×2−1+4⋊C3 | semidirect |
| 1314. C2 | C22×#87545 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C24×C22⋊SL(2,𝔽3) | 2 |
| C23×#5948 | 2 |
| C25×2−1+4 | 3 |
| C22×#87545 | 2 |
| C23×2−1+4⋊C3 | 4 |
| C23×D4×A4 | 4 |