Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
4852 conjugacy classes of subgroups.
The subgroup lattice has 830 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D3×#585 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | D3×#568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #85834 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#2901 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #84120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #83817 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #82536 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #78992 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | D3×#421 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | #78983 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | C2×#4821 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #60093 | — | 3 | 1 | no | maximal, Sylow |
| 13 | C3×#585 | C22 | 1 | 1 | yes | characteristic |
| 14 | #5968 | — | 2 | 1 | no | — |
| 15 | #5968 | C4 | 1 | 4 | yes | complemented |
| 16 | D3×2−1+4 | — | 2 | 1 | no | — |
| 17 | D3×2−1+4 | C4 | 1 | 4 | yes | complemented |
| 18 | #5966 | — | 2 | 3 | no | — |
| 19 | #5966 | C4 | 1 | 4 | yes | complemented |
| 20 | D3×H(5,𝔽2) | — | 2 | 3 | no | — |
| 21 | D3×H(5,𝔽2) | C4 | 1 | 4 | yes | complemented |
| 22 | #5964 | — | 2 | 4 | no | — |
| 23 | #5964 | C22 | 1 | 6 | yes | — |
| 24 | #5964 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×D3×#41 | — | 2 | 4 | no | — |
| 26 | C2×D3×#41 | C22 | 1 | 6 | yes | — |
| 27 | C2×D3×#41 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×#568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C3×C4×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | Dic3×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #5819 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #5750 | — | 2 | 4 | no | — |
| 33 | D3×#131 | — | 2 | 4 | no | — |
| 34 | #5745 | C22 | 1 | 6 | yes | complemented |
| 35 | C2×D3×M16 | C22 | 1 | 6 | yes | complemented |
| 36 | #5574 | — | 2 | 1 | no | — |
| 37 | #5572 | — | 2 | 1 | no | — |
| 38 | #5546 | — | 2 | 3 | no | — |
| 39 | #5545 | — | 2 | 3 | no | — |
| 40 | #5522 | C22 | 1 | 3 | yes | complemented |
| 41 | D3×#117 | C22 | 1 | 3 | yes | complemented |
| 42 | C4×#235 | C22 | 1 | 3 | yes | complemented |
| 43 | C2×#872 | C22 | 1 | 3 | yes | complemented |
| 44 | C3×#421 | C22 | 1 | 6 | yes | complemented |
| 45 | C2×C3×#104 | C22 | 1 | 6 | yes | complemented |
| 46 | #5236 | C22 | 1 | 6 | yes | complemented |
| 47 | C2×#837 | C22 | 1 | 6 | yes | complemented |
| 48 | #5139 | C22 | 1 | 6 | yes | complemented |
| 49 | C2×#825 | C22 | 1 | 6 | yes | complemented |
| 50 | #5005 | C22 | 1 | 6 | yes | complemented |
| 51 | C2×#805 | C22 | 1 | 6 | yes | complemented |
| 52 | #4821 | C22 | 1 | 4 | yes | complemented |
| 53 | #4821 | C22 | 1 | 12 | yes | complemented |
| 54 | #4821 | C22 | 1 | 12 | yes | complemented |
| 55 | #4821 | C22 | 1 | 12 | yes | complemented |
| 56 | D3×#104 | C22 | 1 | 24 | yes | complemented |
| 57 | C2×#585 | — | 3 | 1 | no | — |
| 58 | C2×#568 | — | 3 | 1 | no | — |
| 59 | #3428 | — | 3 | 1 | no | — |
| 60 | #2901 | — | 3 | 6 | no | — |
| 61 | #2901 | — | 3 | 6 | no | — |
| 62 | #2901 | — | 3 | 1 | no | — |
| 63 | #2901 | — | 3 | 1 | no | — |
| 64 | #2901 | — | 3 | 1 | no | — |
| 65 | #2901 | D3 | 1 | 1 | yes | characteristic, complemented |
| 66 | C2×#421 | — | 3 | 6 | no | — |
| 67 | C2×#421 | — | 3 | 6 | no | — |
| 68 | C3×2−1+4 | — | 2 | 1 | no | — |
| 69 | C3×2−1+4 | C2×C4 | 1 | 4 | yes | complemented |
| 70 | C3×H(5,𝔽2) | — | 2 | 3 | no | — |
| 71 | C3×H(5,𝔽2) | C2×C4 | 1 | 4 | yes | complemented |
| 72 | C2×C3×#41 | — | 2 | 4 | no | — |
| 73 | C2×C3×#41 | C23 | 1 | 6 | yes | — |
| 74 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 75 | #1010 | — | 2 | 4 | no | — |
| 76 | #1010 | — | 2 | 12 | no | — |
| 77 | #1010 | — | 2 | 6 | no | — |
| 78 | #1010 | C2×C4 | 1 | 12 | yes | complemented |
| 79 | #1010 | C2×C4 | 1 | 4 | yes | complemented |
| 80 | #1009 | — | 2 | 4 | no | — |
| 81 | #1009 | — | 2 | 12 | no | — |
| 82 | #1009 | — | 2 | 6 | no | — |
| 83 | #1009 | C2×C4 | 1 | 12 | yes | complemented |
| 84 | #1009 | C2×C4 | 1 | 4 | yes | complemented |
| 85 | D3×#41 | — | 2 | 4 | no | — |
| 86 | D3×#41 | — | 2 | 4 | no | — |
| 87 | D3×#41 | — | 2 | 4 | no | — |
| 88 | D3×#41 | — | 2 | 12 | no | — |
| 89 | D3×#41 | — | 2 | 12 | no | — |
| 90 | D3×#41 | — | 2 | 12 | no | — |
| 91 | D3×#41 | — | 2 | 6 | no | — |
| 92 | D3×#41 | — | 2 | 6 | no | — |
| 93 | D3×#41 | — | 2 | 6 | no | — |
| 94 | D3×#41 | — | 2 | 6 | no | — |
| 95 | D3×#41 | C2×C4 | 1 | 4 | yes | — |
| 96 | D3×#41 | C2×C4 | 1 | 4 | yes | — |
| 97 | D3×#41 | C2×C4 | 1 | 12 | yes | complemented |
| 98 | D3×#41 | C2×C4 | 1 | 12 | yes | complemented |
| 99 | D3×#41 | D4 | 1 | 4 | yes | — |
| 100 | D3×#41 | D4 | 1 | 4 | yes | — |
| 101 | D3×#41 | C23 | 1 | 4 | yes | — |
| 102 | D3×#41 | C23 | 1 | 12 | yes | — |
| 103 | #1007 | — | 2 | 1 | no | — |
| 104 | #1007 | — | 2 | 4 | no | — |
| 105 | #1007 | — | 2 | 4 | no | — |
| 106 | #1007 | C2×C4 | 1 | 12 | yes | complemented |
| 107 | C2×#239 | — | 2 | 4 | no | — |
| 108 | C2×#239 | C2×C4 | 1 | 6 | yes | complemented |
| 109 | C2×#239 | D4 | 1 | 1 | yes | characteristic |
| 110 | C2×D3×Q8 | — | 2 | 4 | no | — |
| 111 | C2×D3×Q8 | C2×C4 | 1 | 6 | yes | complemented |
| 112 | C2×D3×Q8 | D4 | 1 | 1 | yes | characteristic |
| 113 | #1004 | — | 2 | 3 | no | — |
| 114 | #1004 | — | 2 | 12 | no | — |
| 115 | #1004 | — | 2 | 12 | no | — |
| 116 | #1004 | — | 2 | 12 | no | — |
| 117 | #1004 | C2×C4 | 1 | 12 | yes | complemented |
| 118 | C2×#237 | — | 2 | 6 | no | — |
| 119 | C2×#237 | — | 2 | 12 | no | — |
| 120 | C2×#237 | C2×C4 | 1 | 6 | yes | complemented |
| 121 | C2×#237 | D4 | 1 | 3 | yes | — |
| 122 | C2×D3×D4 | — | 2 | 6 | no | — |
| 123 | C2×D3×D4 | — | 2 | 12 | no | — |
| 124 | C2×D3×D4 | C2×C4 | 1 | 6 | yes | complemented |
| 125 | C2×D3×D4 | D4 | 1 | 3 | yes | — |
| 126 | C2×#235 | — | 2 | 12 | no | — |
| 127 | C2×#235 | — | 2 | 6 | no | — |
| 128 | C2×#235 | C23 | 1 | 6 | yes | — |
| 129 | C2×#235 | C23 | 1 | 3 | yes | — |
| 130 | C22×C4×D3 | — | 2 | 6 | no | — |
| 131 | C22×C4×D3 | C23 | 1 | 3 | yes | — |
| 132 | C3×#131 | — | 2 | 4 | no | — |
| 133 | C2×C3×M16 | C23 | 1 | 6 | yes | complemented |
| 134 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 135 | C3×C4×D4 | — | 2 | 3 | no | — |
| 136 | C3×#117 | C23 | 1 | 3 | yes | complemented |
| 137 | C2×C3×C42 | C23 | 1 | 3 | yes | complemented |
| 138 | #948 | — | 2 | 4 | no | — |
| 139 | Q8×Dic3 | — | 2 | 1 | no | — |
| 140 | D4×Dic3 | — | 2 | 3 | no | — |
| 141 | C4×#67 | — | 2 | 6 | no | — |
| 142 | C2×(C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 143 | #926 | C23 | 1 | 3 | yes | complemented |
| 144 | C2×Dic3⋊C4 | — | 2 | 3 | no | — |
| 145 | C2×C4×Dic3 | C23 | 1 | 3 | yes | complemented |
| 146 | C2×#208 | C23 | 1 | 6 | yes | complemented |
| 147 | #907 | — | 2 | 12 | no | — |
| 148 | D3×M16 | — | 2 | 6 | no | — |
| 149 | D3×M16 | — | 2 | 6 | no | — |
| 150 | D3×M16 | C23 | 1 | 4 | yes | — |
| 151 | D3×M16 | C23 | 1 | 12 | yes | complemented |
| 152 | #901 | — | 2 | 12 | no | — |
| 153 | C2×ΓL(1,𝔽25) | — | 2 | 6 | no | — |
| 154 | C2×D3×C8 | — | 2 | 6 | no | — |
| 155 | #893 | — | 2 | 3 | no | — |
| 156 | #892 | — | 2 | 3 | no | — |
| 157 | D3×C4⋊C4 | — | 2 | 3 | no | — |
| 158 | #887 | — | 2 | 3 | no | — |
| 159 | #67⋊C4 | — | 2 | 6 | no | — |
| 160 | D3×C22⋊C4 | — | 2 | 3 | no | — |
| 161 | #877 | — | 2 | 3 | no | — |
| 162 | C4×D12 | — | 2 | 3 | no | — |
| 163 | #872 | — | 2 | 3 | no | — |
| 164 | #872 | — | 2 | 3 | no | — |
| 165 | #872 | C23 | 1 | 1 | yes | characteristic |
| 166 | #872 | C23 | 1 | 3 | yes | — |
| 167 | #872 | C23 | 1 | 3 | yes | complemented |
| 168 | #872 | C23 | 1 | 3 | yes | complemented |
| 169 | C42×D3 | C23 | 1 | 6 | yes | complemented |
| 170 | C4×Dic6 | — | 2 | 3 | no | — |
| 171 | C3×#104 | C23 | 1 | 4 | yes | complemented |
| 172 | C3×#104 | C23 | 1 | 12 | yes | complemented |
| 173 | #837 | C23 | 1 | 4 | yes | complemented |
| 174 | #837 | C23 | 1 | 12 | yes | complemented |
| 175 | #825 | C23 | 1 | 4 | yes | complemented |
| 176 | #825 | C23 | 1 | 12 | yes | complemented |
| 177 | #805 | C23 | 1 | 4 | yes | complemented |
| 178 | #805 | C23 | 1 | 12 | yes | complemented |
| 179 | #585 | — | 3 | 4 | no | — |
| 180 | #585 | — | 3 | 4 | no | — |
| 181 | #585 | — | 3 | 6 | no | — |
| 182 | #585 | — | 3 | 1 | no | — |
| 183 | #585 | — | 6 | 4 | no | — |
| 184 | #585 | — | 6 | 3 | no | — |
| 185 | #585 | — | 6 | 1 | no | — |
| 186 | #585 | C2×D3 | 1 | 1 | yes | characteristic |
| 187 | C2×2−1+4 | — | 3 | 4 | no | — |
| 188 | C2×2−1+4 | — | 6 | 1 | no | — |
| 189 | C2×H(5,𝔽2) | — | 3 | 4 | no | — |
| 190 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 191 | C22×#41 | — | 3 | 1 | no | — |
| 192 | C22×#41 | — | 3 | 6 | no | — |
| 193 | C22×#41 | — | 6 | 4 | no | — |
| 194 | #568 | — | 3 | 1 | no | — |
| 195 | #568 | — | 3 | 6 | no | — |
| 196 | #568 | — | 6 | 4 | no | — |
| 197 | #568 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 198 | C2×#131 | — | 6 | 4 | no | — |
| 199 | C22×M16 | — | 3 | 6 | no | — |
| 200 | #520 | — | 6 | 3 | no | — |
| 201 | #520 | — | 6 | 1 | no | — |
| 202 | #519 | — | 6 | 1 | no | — |
| 203 | #518 | — | 6 | 3 | no | — |
| 204 | C4×#41 | — | 3 | 1 | no | — |
| 205 | C4×#41 | — | 3 | 3 | no | — |
| 206 | C4×#41 | — | 3 | 3 | no | — |
| 207 | C4×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 208 | C2×#117 | — | 3 | 3 | no | — |
| 209 | C2×#117 | — | 3 | 3 | no | — |
| 210 | #421 | — | 3 | 6 | no | — |
| 211 | #421 | — | 3 | 6 | no | — |
| 212 | #421 | — | 3 | 6 | no | — |
| 213 | #421 | — | 3 | 12 | no | — |
| 214 | #421 | — | 3 | 4 | no | — |
| 215 | #421 | — | 3 | 12 | no | — |
| 216 | #421 | — | 3 | 12 | no | — |
| 217 | #421 | C2×D3 | 1 | 6 | yes | complemented |
| 218 | C2×#104 | — | 3 | 6 | no | — |
| 219 | C2×#104 | — | 3 | 6 | no | — |
| 220 | C2×#104 | — | 3 | 6 | no | — |
| 221 | C2×#104 | — | 3 | 24 | no | — |
| 222 | C2×#104 | C2×D3 | 1 | 6 | yes | complemented |
| 223 | C23×D3 | — | 2 | 6 | no | — |
| 224 | C23×D3 | C2×D4 | 1 | 3 | yes | — |
| 225 | C3×#41 | — | 2 | 4 | no | — |
| 226 | C3×#41 | — | 2 | 12 | no | — |
| 227 | C3×#41 | — | 2 | 6 | no | — |
| 228 | C3×#41 | — | 2 | 6 | no | — |
| 229 | C3×#41 | C22×C4 | 1 | 12 | yes | — |
| 230 | C3×#41 | C22×C4 | 1 | 4 | yes | — |
| 231 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 232 | C3×#41 | C24 | 1 | 4 | yes | — |
| 233 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 234 | C2×C3×Q8 | C22×C4 | 1 | 6 | yes | — |
| 235 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C2×C3×D4 | — | 2 | 6 | no | — |
| 237 | C2×C3×D4 | — | 2 | 12 | no | — |
| 238 | C2×C3×D4 | C22×C4 | 1 | 6 | yes | — |
| 239 | C2×C3×D4 | C2×D4 | 1 | 3 | yes | — |
| 240 | C22×C3×C4 | — | 2 | 6 | no | — |
| 241 | C22×C3×C4 | — | 2 | 3 | no | — |
| 242 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 243 | C2×#67 | — | 2 | 6 | no | — |
| 244 | C2×#67 | — | 2 | 6 | no | — |
| 245 | C2×#67 | — | 2 | 24 | no | — |
| 246 | C2×#67 | — | 2 | 6 | no | — |
| 247 | C2×#67 | C2×D4 | 1 | 6 | yes | — |
| 248 | C22×Dic3 | — | 2 | 6 | no | — |
| 249 | C22×Dic3 | — | 2 | 3 | no | — |
| 250 | C22×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 251 | #239 | — | 2 | 4 | no | — |
| 252 | #239 | — | 2 | 12 | no | — |
| 253 | #239 | — | 2 | 6 | no | — |
| 254 | #239 | — | 2 | 6 | no | — |
| 255 | #239 | C22⋊C4 | 1 | 4 | yes | — |
| 256 | #239 | C22⋊C4 | 1 | 4 | yes | — |
| 257 | #239 | C22×C4 | 1 | 4 | yes | — |
| 258 | #239 | C22×C4 | 1 | 12 | yes | — |
| 259 | D3×Q8 | — | 2 | 4 | no | — |
| 260 | D3×Q8 | — | 2 | 6 | no | — |
| 261 | D3×Q8 | — | 2 | 6 | no | — |
| 262 | D3×Q8 | — | 2 | 12 | no | — |
| 263 | D3×Q8 | C22⋊C4 | 1 | 4 | yes | — |
| 264 | D3×Q8 | C22⋊C4 | 1 | 4 | yes | — |
| 265 | D3×Q8 | C22×C4 | 1 | 4 | yes | — |
| 266 | D3×Q8 | C22×C4 | 1 | 12 | yes | — |
| 267 | #237 | — | 2 | 12 | no | — |
| 268 | #237 | — | 2 | 24 | no | — |
| 269 | #237 | — | 2 | 12 | no | — |
| 270 | #237 | — | 2 | 12 | no | — |
| 271 | #237 | — | 2 | 4 | no | — |
| 272 | #237 | — | 2 | 12 | no | — |
| 273 | #237 | — | 2 | 6 | no | — |
| 274 | #237 | — | 2 | 6 | no | — |
| 275 | #237 | — | 2 | 12 | no | — |
| 276 | #237 | C22⋊C4 | 1 | 12 | yes | — |
| 277 | #237 | C22⋊C4 | 1 | 12 | yes | — |
| 278 | #237 | C22×C4 | 1 | 4 | yes | — |
| 279 | #237 | C22×C4 | 1 | 12 | yes | — |
| 280 | D3×D4 | — | 2 | 12 | no | — |
| 281 | D3×D4 | — | 2 | 12 | no | — |
| 282 | D3×D4 | — | 2 | 4 | no | — |
| 283 | D3×D4 | — | 2 | 12 | no | — |
| 284 | D3×D4 | — | 2 | 12 | no | — |
| 285 | D3×D4 | — | 2 | 24 | no | — |
| 286 | D3×D4 | — | 2 | 12 | no | — |
| 287 | D3×D4 | — | 2 | 6 | no | — |
| 288 | D3×D4 | — | 2 | 6 | no | — |
| 289 | D3×D4 | C22⋊C4 | 1 | 12 | yes | — |
| 290 | D3×D4 | C22⋊C4 | 1 | 12 | yes | — |
| 291 | D3×D4 | C22×C4 | 1 | 4 | yes | — |
| 292 | D3×D4 | C22×C4 | 1 | 12 | yes | — |
| 293 | #235 | — | 2 | 6 | no | — |
| 294 | #235 | — | 2 | 6 | no | — |
| 295 | #235 | — | 2 | 24 | no | — |
| 296 | #235 | — | 2 | 12 | no | — |
| 297 | #235 | — | 2 | 12 | no | — |
| 298 | #235 | — | 2 | 12 | no | — |
| 299 | #235 | — | 2 | 4 | no | — |
| 300 | #235 | — | 2 | 12 | no | — |
| 301 | #235 | — | 2 | 12 | no | — |
| 302 | #235 | C22×C4 | 1 | 12 | yes | — |
| 303 | #235 | C22×C4 | 1 | 12 | yes | — |
| 304 | #235 | C2×D4 | 1 | 12 | yes | — |
| 305 | #235 | C24 | 1 | 4 | yes | — |
| 306 | C2×D12 | — | 2 | 6 | no | — |
| 307 | C2×D12 | — | 2 | 12 | no | — |
| 308 | C2×D12 | C22×C4 | 1 | 6 | yes | — |
| 309 | C2×D12 | C2×D4 | 1 | 3 | yes | — |
| 310 | C2×C4×D3 | — | 2 | 6 | no | — |
| 311 | C2×C4×D3 | — | 2 | 6 | no | — |
| 312 | C2×C4×D3 | — | 2 | 6 | no | — |
| 313 | C2×C4×D3 | — | 2 | 12 | no | — |
| 314 | C2×C4×D3 | — | 2 | 12 | no | — |
| 315 | C2×C4×D3 | — | 2 | 4 | no | — |
| 316 | C2×C4×D3 | — | 2 | 12 | no | — |
| 317 | C2×C4×D3 | — | 2 | 6 | no | — |
| 318 | C2×C4×D3 | C22×C4 | 1 | 6 | yes | — |
| 319 | C2×C4×D3 | C22×C4 | 1 | 6 | yes | — |
| 320 | C2×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 321 | C2×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 322 | C2×C4×D3 | C2×D4 | 1 | 6 | yes | — |
| 323 | C2×C4×D3 | C2×D4 | 1 | 6 | yes | — |
| 324 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 325 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 326 | C2×Dic6 | — | 2 | 6 | no | — |
| 327 | C2×Dic6 | — | 2 | 12 | no | — |
| 328 | C2×Dic6 | C22×C4 | 1 | 6 | yes | — |
| 329 | C2×Dic6 | C2×D4 | 1 | 3 | yes | — |
| 330 | C3×M16 | — | 2 | 6 | no | — |
| 331 | C3×M16 | C24 | 1 | 4 | yes | — |
| 332 | C2×C3×C8 | — | 2 | 6 | no | — |
| 333 | C3×C4⋊C4 | — | 2 | 3 | no | — |
| 334 | C3×C22⋊C4 | — | 2 | 3 | no | — |
| 335 | C3×C42 | — | 2 | 3 | no | — |
| 336 | C3×C42 | C24 | 1 | 3 | yes | — |
| 337 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 338 | #217 | — | 2 | 3 | no | — |
| 339 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 340 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 341 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 342 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 343 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 344 | Dic3⋊C4 | — | 2 | 3 | no | — |
| 345 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 346 | Dic3⋊C4 | — | 2 | 3 | no | — |
| 347 | Dic3⋊C4 | — | 2 | 3 | no | — |
| 348 | C4×Dic3 | — | 2 | 3 | no | — |
| 349 | C4×Dic3 | — | 2 | 6 | no | — |
| 350 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 351 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 352 | #208 | — | 2 | 6 | no | — |
| 353 | #208 | C24 | 1 | 4 | yes | — |
| 354 | C2×C3⋊C8 | — | 2 | 6 | no | — |
| 355 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 356 | ΓL(1,𝔽25) | — | 2 | 12 | no | — |
| 357 | D3×C8 | — | 2 | 4 | no | — |
| 358 | D3×C8 | — | 2 | 12 | no | — |
| 359 | 2−1+4 | — | 2 | 1 | no | — |
| 360 | 2−1+4 | — | 3 | 12 | no | — |
| 361 | 2−1+4 | — | 3 | 4 | no | — |
| 362 | 2−1+4 | — | 3 | 12 | no | — |
| 363 | 2−1+4 | — | 6 | 4 | no | — |
| 364 | 2−1+4 | — | 6 | 4 | no | — |
| 365 | 2−1+4 | — | 6 | 4 | no | — |
| 366 | 2−1+4 | — | 6 | 6 | no | — |
| 367 | 2−1+4 | — | 6 | 12 | no | — |
| 368 | 2−1+4 | — | 6 | 1 | no | — |
| 369 | 2−1+4 | C4×D3 | 1 | 4 | yes | complemented |
| 370 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 371 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 372 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 373 | H(5,𝔽2) | — | 3 | 12 | no | — |
| 374 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 375 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 376 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 377 | H(5,𝔽2) | — | 6 | 12 | no | — |
| 378 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 379 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 380 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 381 | H(5,𝔽2) | C4×D3 | 1 | 4 | yes | complemented |
| 382 | C2×#41 | — | 2 | 4 | no | — |
| 383 | C2×#41 | — | 3 | 4 | no | — |
| 384 | C2×#41 | — | 3 | 4 | no | — |
| 385 | C2×#41 | — | 3 | 4 | no | — |
| 386 | C2×#41 | — | 3 | 4 | no | — |
| 387 | C2×#41 | — | 3 | 1 | no | — |
| 388 | C2×#41 | — | 3 | 3 | no | — |
| 389 | C2×#41 | — | 3 | 3 | no | — |
| 390 | C2×#41 | — | 3 | 12 | no | — |
| 391 | C2×#41 | — | 3 | 12 | no | — |
| 392 | C2×#41 | — | 3 | 4 | no | — |
| 393 | C2×#41 | — | 3 | 12 | no | — |
| 394 | C2×#41 | — | 3 | 6 | no | — |
| 395 | C2×#41 | — | 3 | 6 | no | — |
| 396 | C2×#41 | — | 3 | 6 | no | — |
| 397 | C2×#41 | — | 6 | 6 | no | — |
| 398 | C2×#41 | — | 6 | 12 | no | — |
| 399 | C2×#41 | — | 6 | 6 | no | — |
| 400 | C2×#41 | — | 6 | 6 | no | — |
| 401 | C2×#41 | — | 6 | 6 | no | — |
| 402 | C2×#41 | — | 6 | 6 | no | — |
| 403 | C2×#41 | — | 6 | 6 | no | — |
| 404 | C2×#41 | — | 6 | 12 | no | — |
| 405 | C2×#41 | — | 6 | 12 | no | — |
| 406 | C2×#41 | — | 6 | 4 | no | — |
| 407 | C2×#41 | — | 6 | 4 | no | — |
| 408 | C2×#41 | — | 6 | 4 | no | — |
| 409 | C2×#41 | — | 6 | 12 | no | — |
| 410 | C2×#41 | — | 6 | 12 | no | — |
| 411 | C2×#41 | — | 6 | 4 | no | — |
| 412 | C2×#41 | C22×D3 | 1 | 6 | yes | — |
| 413 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 414 | C22×Q8 | — | 3 | 1 | no | — |
| 415 | C22×Q8 | — | 3 | 6 | no | — |
| 416 | C22×Q8 | — | 6 | 4 | no | — |
| 417 | C22×D4 | — | 3 | 3 | no | — |
| 418 | C22×D4 | — | 3 | 6 | no | — |
| 419 | C22×D4 | — | 6 | 12 | no | — |
| 420 | C22×D4 | — | 6 | 6 | no | — |
| 421 | C23×C4 | — | 3 | 3 | no | — |
| 422 | C23×C4 | — | 6 | 6 | no | — |
| 423 | #131 | — | 2 | 4 | no | — |
| 424 | #131 | — | 6 | 12 | no | — |
| 425 | #131 | — | 6 | 12 | no | — |
| 426 | #131 | — | 6 | 4 | no | — |
| 427 | C2×M16 | — | 3 | 6 | no | — |
| 428 | C2×M16 | — | 3 | 4 | no | — |
| 429 | C2×M16 | — | 3 | 12 | no | — |
| 430 | C2×M16 | — | 6 | 6 | no | — |
| 431 | C2×M16 | — | 6 | 6 | no | — |
| 432 | C2×M16 | — | 6 | 6 | no | — |
| 433 | C2×M16 | C22×D3 | 1 | 6 | yes | complemented |
| 434 | C22×C8 | — | 6 | 6 | no | — |
| 435 | C4×Q8 | — | 2 | 1 | no | — |
| 436 | C4×Q8 | — | 6 | 3 | no | — |
| 437 | C4×Q8 | — | 6 | 3 | no | — |
| 438 | C4×Q8 | — | 6 | 1 | no | — |
| 439 | C4×D4 | — | 2 | 3 | no | — |
| 440 | C4×D4 | — | 6 | 3 | no | — |
| 441 | C4×D4 | — | 6 | 6 | no | — |
| 442 | C4×D4 | — | 6 | 3 | no | — |
| 443 | C4×D4 | — | 6 | 6 | no | — |
| 444 | C4×D4 | — | 6 | 3 | no | — |
| 445 | #117 | — | 3 | 3 | no | — |
| 446 | #117 | — | 3 | 3 | no | — |
| 447 | #117 | — | 3 | 1 | no | — |
| 448 | #117 | — | 3 | 3 | no | — |
| 449 | #117 | — | 3 | 3 | no | — |
| 450 | #117 | — | 6 | 3 | no | — |
| 451 | #117 | — | 6 | 3 | no | — |
| 452 | #117 | — | 6 | 3 | no | — |
| 453 | #117 | — | 6 | 3 | no | — |
| 454 | #117 | C22×D3 | 1 | 3 | yes | complemented |
| 455 | C2×C4⋊C4 | — | 6 | 3 | no | — |
| 456 | C2×C4⋊C4 | — | 6 | 3 | no | — |
| 457 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 458 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 459 | C2×C42 | — | 3 | 3 | no | — |
| 460 | C2×C42 | — | 3 | 6 | no | — |
| 461 | C2×C42 | C22×D3 | 1 | 3 | yes | complemented |
| 462 | #104 | — | 3 | 4 | no | — |
| 463 | #104 | — | 3 | 12 | no | — |
| 464 | #104 | — | 3 | 4 | no | — |
| 465 | #104 | — | 3 | 12 | no | — |
| 466 | #104 | — | 3 | 12 | no | — |
| 467 | #104 | — | 3 | 4 | no | — |
| 468 | #104 | C22×D3 | 1 | 12 | yes | complemented |
| 469 | #104 | C22×D3 | 1 | 4 | yes | complemented |
| 470 | C23×C3 | — | 2 | 6 | no | — |
| 471 | C23×C3 | C22×D4 | 1 | 3 | yes | — |
| 472 | C22×D3 | — | 2 | 6 | no | — |
| 473 | C22×D3 | — | 2 | 4 | no | — |
| 474 | C22×D3 | — | 2 | 12 | no | — |
| 475 | C22×D3 | — | 8 | 3 | no | — |
| 476 | C22×D3 | — | 8 | 12 | no | — |
| 477 | C22×D3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 478 | C22×D3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 479 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 480 | C22×D3 | C22×D4 | 1 | 3 | yes | — |
| 481 | C3×Q8 | — | 2 | 6 | no | — |
| 482 | C3×Q8 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 483 | C3×Q8 | C23×C4 | 1 | 4 | yes | — |
| 484 | C3×D4 | — | 2 | 12 | no | — |
| 485 | C3×D4 | — | 2 | 4 | no | — |
| 486 | C3×D4 | — | 2 | 6 | no | — |
| 487 | C3×D4 | C2×C22⋊C4 | 1 | 12 | yes | — |
| 488 | C3×D4 | C23×C4 | 1 | 4 | yes | — |
| 489 | C2×C3×C4 | — | 2 | 6 | no | — |
| 490 | C2×C3×C4 | — | 2 | 12 | no | — |
| 491 | C2×C3×C4 | — | 2 | 4 | no | — |
| 492 | C2×C3×C4 | — | 2 | 3 | no | — |
| 493 | C2×C3×C4 | — | 2 | 1 | no | — |
| 494 | C2×C3×C4 | — | 8 | 3 | no | — |
| 495 | C2×C3×C4 | C23×C4 | 1 | 6 | yes | — |
| 496 | C2×C3×C4 | C22×D4 | 1 | 3 | yes | — |
| 497 | C2×C3×C4 | C22×D4 | 1 | 6 | yes | — |
| 498 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 499 | #67 | — | 2 | 12 | no | — |
| 500 | #67 | — | 2 | 4 | no | — |
| 501 | #67 | — | 2 | 12 | no | — |
| 502 | #67 | — | 2 | 4 | no | — |
| 503 | #67 | — | 2 | 4 | no | — |
| 504 | #67 | — | 2 | 12 | no | — |
| 505 | #67 | C2×C22⋊C4 | 1 | 24 | yes | — |
| 506 | C2×Dic3 | — | 2 | 6 | no | — |
| 507 | C2×Dic3 | — | 2 | 12 | no | — |
| 508 | C2×Dic3 | — | 2 | 4 | no | — |
| 509 | C2×Dic3 | — | 2 | 1 | no | — |
| 510 | C2×Dic3 | — | 2 | 3 | no | — |
| 511 | C2×Dic3 | — | 8 | 3 | no | — |
| 512 | C2×Dic3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 513 | C2×Dic3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 514 | C2×Dic3 | C22×D4 | 1 | 3 | yes | — |
| 515 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 516 | D12 | — | 2 | 12 | no | — |
| 517 | D12 | — | 2 | 4 | no | — |
| 518 | D12 | — | 2 | 6 | no | — |
| 519 | D12 | C2×C22⋊C4 | 1 | 12 | yes | — |
| 520 | D12 | C23×C4 | 1 | 4 | yes | — |
| 521 | C4×D3 | — | 2 | 4 | no | — |
| 522 | C4×D3 | — | 2 | 12 | no | — |
| 523 | C4×D3 | — | 2 | 12 | no | — |
| 524 | C4×D3 | — | 2 | 4 | no | — |
| 525 | C4×D3 | — | 2 | 4 | no | — |
| 526 | C4×D3 | — | 2 | 12 | no | — |
| 527 | C4×D3 | — | 8 | 6 | no | — |
| 528 | C4×D3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 529 | C4×D3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 530 | C4×D3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 531 | C4×D3 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 532 | C4×D3 | C23×C4 | 1 | 1 | yes | characteristic |
| 533 | C4×D3 | C23×C4 | 1 | 1 | yes | characteristic |
| 534 | C4×D3 | C23×C4 | 1 | 6 | yes | — |
| 535 | C4×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 536 | C4×D3 | C22×D4 | 1 | 6 | yes | — |
| 537 | C4×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 538 | Dic6 | — | 2 | 6 | no | — |
| 539 | Dic6 | — | 2 | 4 | no | — |
| 540 | Dic6 | — | 2 | 12 | no | — |
| 541 | Dic6 | C2×C22⋊C4 | 1 | 12 | yes | — |
| 542 | Dic6 | C23×C4 | 1 | 4 | yes | — |
| 543 | C3×C8 | — | 2 | 4 | no | — |
| 544 | C3⋊C8 | — | 2 | 4 | no | — |
| 545 | C24 | — | 3 | 3 | no | — |
| 546 | C24 | — | 6 | 6 | no | — |
| 547 | #41 | — | 2 | 4 | no | — |
| 548 | #41 | — | 2 | 12 | no | — |
| 549 | #41 | — | 2 | 6 | no | — |
| 550 | #41 | — | 2 | 6 | no | — |
| 551 | #41 | — | 3 | 4 | no | — |
| 552 | #41 | — | 3 | 4 | no | — |
| 553 | #41 | — | 3 | 12 | no | — |
| 554 | #41 | — | 3 | 12 | no | — |
| 555 | #41 | — | 3 | 12 | no | — |
| 556 | #41 | — | 3 | 12 | no | — |
| 557 | #41 | — | 3 | 4 | no | — |
| 558 | #41 | — | 3 | 12 | no | — |
| 559 | #41 | — | 3 | 4 | no | — |
| 560 | #41 | — | 3 | 12 | no | — |
| 561 | #41 | — | 3 | 12 | no | — |
| 562 | #41 | — | 3 | 4 | no | — |
| 563 | #41 | — | 6 | 4 | no | — |
| 564 | #41 | — | 6 | 12 | no | — |
| 565 | #41 | — | 6 | 12 | no | — |
| 566 | #41 | — | 6 | 12 | no | — |
| 567 | #41 | — | 6 | 24 | no | — |
| 568 | #41 | — | 6 | 12 | no | — |
| 569 | #41 | — | 6 | 12 | no | — |
| 570 | #41 | — | 6 | 4 | no | — |
| 571 | #41 | — | 6 | 12 | no | — |
| 572 | #41 | — | 6 | 6 | no | — |
| 573 | #41 | — | 6 | 12 | no | — |
| 574 | #41 | — | 6 | 12 | no | — |
| 575 | #41 | — | 6 | 6 | no | — |
| 576 | #41 | — | 6 | 6 | no | — |
| 577 | #41 | — | 6 | 6 | no | — |
| 578 | #41 | — | 6 | 24 | no | — |
| 579 | #41 | — | 6 | 12 | no | — |
| 580 | #41 | — | 6 | 12 | no | — |
| 581 | #41 | — | 6 | 4 | no | — |
| 582 | #41 | — | 6 | 12 | no | — |
| 583 | #41 | — | 6 | 6 | no | — |
| 584 | #41 | — | 6 | 6 | no | — |
| 585 | #41 | C2×C4×D3 | 1 | 12 | yes | — |
| 586 | #41 | C2×C4×D3 | 1 | 4 | yes | — |
| 587 | #41 | D3×D4 | 1 | 4 | yes | — |
| 588 | #41 | C23×D3 | 1 | 4 | yes | — |
| 589 | C2×Q8 | — | 2 | 4 | no | — |
| 590 | C2×Q8 | — | 3 | 4 | no | — |
| 591 | C2×Q8 | — | 3 | 4 | no | — |
| 592 | C2×Q8 | — | 3 | 3 | no | — |
| 593 | C2×Q8 | — | 3 | 4 | no | — |
| 594 | C2×Q8 | — | 3 | 12 | no | — |
| 595 | C2×Q8 | — | 3 | 6 | no | — |
| 596 | C2×Q8 | — | 6 | 6 | no | — |
| 597 | C2×Q8 | — | 6 | 12 | no | — |
| 598 | C2×Q8 | — | 6 | 6 | no | — |
| 599 | C2×Q8 | — | 6 | 6 | no | — |
| 600 | C2×Q8 | — | 6 | 12 | no | — |
| 601 | C2×Q8 | — | 6 | 4 | no | — |
| 602 | C2×Q8 | C2×C4×D3 | 1 | 6 | yes | — |
| 603 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 604 | C2×D4 | — | 2 | 6 | no | — |
| 605 | C2×D4 | — | 2 | 12 | no | — |
| 606 | C2×D4 | — | 3 | 6 | no | — |
| 607 | C2×D4 | — | 3 | 12 | no | — |
| 608 | C2×D4 | — | 3 | 12 | no | — |
| 609 | C2×D4 | — | 3 | 4 | no | — |
| 610 | C2×D4 | — | 3 | 12 | no | — |
| 611 | C2×D4 | — | 3 | 6 | no | — |
| 612 | C2×D4 | — | 3 | 3 | no | — |
| 613 | C2×D4 | — | 6 | 12 | no | — |
| 614 | C2×D4 | — | 6 | 6 | no | — |
| 615 | C2×D4 | — | 6 | 6 | no | — |
| 616 | C2×D4 | — | 6 | 6 | no | — |
| 617 | C2×D4 | — | 6 | 6 | no | — |
| 618 | C2×D4 | — | 6 | 24 | no | — |
| 619 | C2×D4 | — | 6 | 12 | no | — |
| 620 | C2×D4 | — | 6 | 4 | no | — |
| 621 | C2×D4 | — | 6 | 12 | no | — |
| 622 | C2×D4 | — | 6 | 12 | no | — |
| 623 | C2×D4 | — | 6 | 12 | no | — |
| 624 | C2×D4 | — | 6 | 24 | no | — |
| 625 | C2×D4 | — | 6 | 6 | no | — |
| 626 | C2×D4 | — | 6 | 6 | no | — |
| 627 | C2×D4 | — | 6 | 12 | no | — |
| 628 | C2×D4 | C2×C4×D3 | 1 | 6 | yes | — |
| 629 | C2×D4 | D3×D4 | 1 | 3 | yes | — |
| 630 | C22×C4 | — | 2 | 6 | no | — |
| 631 | C22×C4 | — | 2 | 3 | no | — |
| 632 | C22×C4 | — | 3 | 3 | no | — |
| 633 | C22×C4 | — | 3 | 6 | no | — |
| 634 | C22×C4 | — | 3 | 6 | no | — |
| 635 | C22×C4 | — | 3 | 3 | no | — |
| 636 | C22×C4 | — | 3 | 3 | no | — |
| 637 | C22×C4 | — | 3 | 6 | no | — |
| 638 | C22×C4 | — | 3 | 6 | no | — |
| 639 | C22×C4 | — | 3 | 3 | no | — |
| 640 | C22×C4 | — | 3 | 1 | no | — |
| 641 | C22×C4 | — | 6 | 4 | no | — |
| 642 | C22×C4 | — | 6 | 12 | no | — |
| 643 | C22×C4 | — | 6 | 6 | no | — |
| 644 | C22×C4 | — | 6 | 12 | no | — |
| 645 | C22×C4 | — | 6 | 12 | no | — |
| 646 | C22×C4 | — | 6 | 6 | no | — |
| 647 | C22×C4 | — | 6 | 6 | no | — |
| 648 | C22×C4 | — | 6 | 6 | no | — |
| 649 | C22×C4 | — | 6 | 6 | no | — |
| 650 | C22×C4 | — | 6 | 3 | no | — |
| 651 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 652 | M16 | — | 2 | 6 | no | — |
| 653 | M16 | — | 3 | 4 | no | — |
| 654 | M16 | — | 6 | 4 | no | — |
| 655 | M16 | — | 6 | 12 | no | — |
| 656 | M16 | — | 6 | 6 | no | — |
| 657 | M16 | C23×D3 | 1 | 4 | yes | — |
| 658 | C2×C8 | — | 2 | 6 | no | — |
| 659 | C2×C8 | — | 6 | 4 | no | — |
| 660 | C2×C8 | — | 6 | 12 | no | — |
| 661 | C2×C8 | — | 6 | 6 | no | — |
| 662 | C4⋊C4 | — | 2 | 3 | no | — |
| 663 | C4⋊C4 | — | 6 | 1 | no | — |
| 664 | C4⋊C4 | — | 6 | 3 | no | — |
| 665 | C4⋊C4 | — | 6 | 3 | no | — |
| 666 | C4⋊C4 | — | 6 | 3 | no | — |
| 667 | C4⋊C4 | — | 6 | 3 | no | — |
| 668 | C22⋊C4 | — | 2 | 3 | no | — |
| 669 | C22⋊C4 | — | 6 | 1 | no | — |
| 670 | C22⋊C4 | — | 6 | 3 | no | — |
| 671 | C22⋊C4 | — | 6 | 3 | no | — |
| 672 | C22⋊C4 | — | 6 | 3 | no | — |
| 673 | C22⋊C4 | — | 6 | 3 | no | — |
| 674 | C42 | — | 2 | 3 | no | — |
| 675 | C42 | — | 3 | 1 | no | — |
| 676 | C42 | — | 3 | 3 | no | — |
| 677 | C42 | — | 6 | 6 | no | — |
| 678 | C42 | — | 6 | 3 | no | — |
| 679 | C42 | C23×D3 | 1 | 3 | yes | — |
| 680 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 681 | C22×C3 | — | 2 | 4 | no | — |
| 682 | C22×C3 | — | 4 | 3 | no | — |
| 683 | C22×C3 | — | 8 | 6 | no | — |
| 684 | C22×C3 | C22×C22⋊C4 | 1 | 6 | yes | — |
| 685 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 686 | C2×D3 | — | 2 | 4 | no | — |
| 687 | C2×D3 | — | 4 | 3 | no | — |
| 688 | C2×D3 | — | 4 | 6 | no | — |
| 689 | C2×D3 | — | 4 | 1 | no | — |
| 690 | C2×D3 | — | 4 | 6 | no | — |
| 691 | C2×D3 | — | 4 | 8 | no | — |
| 692 | C2×D3 | — | 8 | 12 | no | — |
| 693 | C2×D3 | — | 8 | 6 | no | — |
| 694 | C2×D3 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 695 | C2×D3 | C22×C22⋊C4 | 1 | 6 | yes | — |
| 696 | C2×D3 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 697 | C3×C4 | — | 2 | 4 | no | — |
| 698 | C3×C4 | — | 4 | 3 | no | — |
| 699 | C3×C4 | — | 4 | 1 | no | — |
| 700 | C3×C4 | C22×C22⋊C4 | 1 | 6 | yes | — |
| 701 | C3×C4 | C24×C4 | 1 | 1 | yes | characteristic |
| 702 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 703 | Dic3 | — | 2 | 4 | no | — |
| 704 | Dic3 | — | 4 | 3 | no | — |
| 705 | Dic3 | — | 4 | 1 | no | — |
| 706 | Dic3 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 707 | Dic3 | C22×C22⋊C4 | 1 | 6 | yes | — |
| 708 | Dic3 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 709 | C23 | — | 2 | 6 | no | — |
| 710 | C23 | — | 3 | 1 | no | — |
| 711 | C23 | — | 3 | 3 | no | — |
| 712 | C23 | — | 3 | 6 | no | — |
| 713 | C23 | — | 3 | 6 | no | — |
| 714 | C23 | — | 6 | 4 | no | — |
| 715 | C23 | — | 6 | 12 | no | — |
| 716 | C23 | — | 6 | 6 | no | — |
| 717 | C23 | — | 24 | 3 | no | — |
| 718 | C23 | — | 24 | 12 | no | — |
| 719 | C23 | C2×D3×D4 | 1 | 3 | yes | — |
| 720 | Q8 | — | 2 | 6 | no | — |
| 721 | Q8 | — | 3 | 12 | no | — |
| 722 | Q8 | — | 3 | 4 | no | — |
| 723 | Q8 | — | 6 | 4 | no | — |
| 724 | Q8 | — | 6 | 12 | no | — |
| 725 | Q8 | — | 6 | 6 | no | — |
| 726 | Q8 | D3×C22⋊C4 | 1 | 4 | yes | — |
| 727 | Q8 | C22×C4×D3 | 1 | 4 | yes | — |
| 728 | D4 | — | 2 | 4 | no | — |
| 729 | D4 | — | 2 | 12 | no | — |
| 730 | D4 | — | 2 | 6 | no | — |
| 731 | D4 | — | 3 | 24 | no | — |
| 732 | D4 | — | 3 | 4 | no | — |
| 733 | D4 | — | 3 | 12 | no | — |
| 734 | D4 | — | 6 | 4 | no | — |
| 735 | D4 | — | 6 | 12 | no | — |
| 736 | D4 | — | 6 | 4 | no | — |
| 737 | D4 | — | 6 | 12 | no | — |
| 738 | D4 | — | 6 | 4 | no | — |
| 739 | D4 | — | 6 | 12 | no | — |
| 740 | D4 | — | 6 | 4 | no | — |
| 741 | D4 | — | 6 | 12 | no | — |
| 742 | D4 | — | 6 | 6 | no | — |
| 743 | D4 | D3×C22⋊C4 | 1 | 12 | yes | — |
| 744 | D4 | C22×C4×D3 | 1 | 4 | yes | — |
| 745 | C2×C4 | — | 2 | 6 | no | — |
| 746 | C2×C4 | — | 2 | 4 | no | — |
| 747 | C2×C4 | — | 2 | 12 | no | — |
| 748 | C2×C4 | — | 2 | 1 | no | — |
| 749 | C2×C4 | — | 2 | 3 | no | — |
| 750 | C2×C4 | — | 3 | 3 | no | — |
| 751 | C2×C4 | — | 3 | 1 | no | — |
| 752 | C2×C4 | — | 3 | 6 | no | — |
| 753 | C2×C4 | — | 3 | 6 | no | — |
| 754 | C2×C4 | — | 3 | 1 | no | — |
| 755 | C2×C4 | — | 3 | 1 | no | — |
| 756 | C2×C4 | — | 3 | 6 | no | — |
| 757 | C2×C4 | — | 3 | 1 | no | — |
| 758 | C2×C4 | — | 3 | 6 | no | — |
| 759 | C2×C4 | — | 3 | 1 | no | — |
| 760 | C2×C4 | — | 3 | 6 | no | — |
| 761 | C2×C4 | — | 3 | 6 | no | — |
| 762 | C2×C4 | — | 3 | 6 | no | — |
| 763 | C2×C4 | — | 3 | 6 | no | — |
| 764 | C2×C4 | — | 6 | 4 | no | — |
| 765 | C2×C4 | — | 6 | 12 | no | — |
| 766 | C2×C4 | — | 6 | 4 | no | — |
| 767 | C2×C4 | — | 6 | 12 | no | — |
| 768 | C2×C4 | — | 6 | 4 | no | — |
| 769 | C2×C4 | — | 6 | 12 | no | — |
| 770 | C2×C4 | — | 6 | 6 | no | — |
| 771 | C2×C4 | — | 6 | 4 | no | — |
| 772 | C2×C4 | — | 6 | 12 | no | — |
| 773 | C2×C4 | — | 6 | 3 | no | — |
| 774 | C2×C4 | — | 6 | 1 | no | — |
| 775 | C2×C4 | — | 8 | 3 | no | — |
| 776 | C2×C4 | — | 24 | 6 | no | — |
| 777 | C2×C4 | — | 24 | 3 | no | — |
| 778 | C2×C4 | C22×C4×D3 | 1 | 6 | yes | — |
| 779 | C2×C4 | C2×D3×D4 | 1 | 6 | yes | — |
| 780 | C2×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 781 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 782 | C8 | — | 2 | 4 | no | — |
| 783 | C8 | — | 6 | 4 | no | — |
| 784 | C2×C3 | — | 2 | 1 | no | — |
| 785 | C2×C3 | — | 2 | 6 | no | — |
| 786 | C2×C3 | — | 4 | 4 | no | — |
| 787 | C2×C3 | C23×C22⋊C4 | 1 | 1 | yes | characteristic |
| 788 | D3 | — | 2 | 1 | no | — |
| 789 | D3 | — | 2 | 1 | no | — |
| 790 | D3 | — | 2 | 6 | no | — |
| 791 | D3 | — | 4 | 4 | no | — |
| 792 | C22 | — | 2 | 4 | no | — |
| 793 | C22 | — | 3 | 1 | no | — |
| 794 | C22 | — | 3 | 1 | no | — |
| 795 | C22 | — | 3 | 6 | no | — |
| 796 | C22 | — | 4 | 3 | no | — |
| 797 | C22 | — | 6 | 4 | no | — |
| 798 | C22 | — | 8 | 6 | no | — |
| 799 | C22 | — | 12 | 3 | no | — |
| 800 | C22 | — | 12 | 1 | no | — |
| 801 | C22 | — | 12 | 6 | no | — |
| 802 | C22 | — | 12 | 6 | no | — |
| 803 | C22 | — | 12 | 8 | no | — |
| 804 | C22 | — | 24 | 6 | no | — |
| 805 | C22 | — | 24 | 12 | no | — |
| 806 | C22 | C2×D3×C22⋊C4 | 1 | 6 | yes | — |
| 807 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 808 | C4 | — | 2 | 4 | no | — |
| 809 | C4 | — | 3 | 1 | no | — |
| 810 | C4 | — | 3 | 1 | no | — |
| 811 | C4 | — | 3 | 6 | no | — |
| 812 | C4 | — | 4 | 1 | no | — |
| 813 | C4 | — | 4 | 3 | no | — |
| 814 | C4 | — | 6 | 4 | no | — |
| 815 | C4 | — | 12 | 3 | no | — |
| 816 | C4 | — | 12 | 1 | no | — |
| 817 | C4 | C2×D3×C22⋊C4 | 1 | 6 | yes | — |
| 818 | C4 | C23×C4×D3 | 1 | 1 | yes | characteristic |
| 819 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 820 | C3 | #60093 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 821 | C2 | — | 2 | 1 | no | — |
| 822 | C2 | — | 2 | 6 | no | — |
| 823 | C2 | — | 4 | 4 | no | — |
| 824 | C2 | — | 6 | 1 | no | — |
| 825 | C2 | — | 6 | 1 | no | — |
| 826 | C2 | — | 6 | 6 | no | — |
| 827 | C2 | — | 12 | 4 | no | — |
| 828 | C2 | C22×D3×C22⋊C4 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. D3×#568 | C2 | semidirect |
| 3. #85834 | C2 | semidirect |
| 4. C3×#2901 | C2 | semidirect |
| 5. #84120 | C2 | semidirect |
| 6. #83817 | C2 | semidirect |
| 7. #82536 | C2 | semidirect |
| 8. #78992 | C2 | semidirect |
| 9. D3×#421 | C2 | semidirect |
| 10. #78983 | C2 | semidirect |
| 11. C2×#4821 | C2 | semidirect |
| 15. #5968 | C4 | semidirect |
| 17. D3×2−1+4 | C4 | semidirect |
| 19. #5966 | C4 | semidirect |
| 21. D3×H(5,𝔽2) | C4 | semidirect |
| 28. C3×#568 | C22 | semidirect |
| 29. C3×C4×#41 | C22 | semidirect |
| 30. Dic3×#41 | C22 | semidirect |
| 31. #5819 | C22 | semidirect |
| 34. #5745 | C22 | semidirect |
| 35. C2×D3×M16 | C22 | semidirect |
| 40. #5522 | C22 | semidirect |
| 41. D3×#117 | C22 | semidirect |
| 42. C4×#235 | C22 | semidirect |
| 43. C2×#872 | C22 | semidirect |
| 44. C3×#421 | C22 | semidirect |
| 45. C2×C3×#104 | C22 | semidirect |
| 46. #5236 | C22 | semidirect |
| 47. C2×#837 | C22 | semidirect |
| 48. #5139 | C22 | semidirect |
| 49. C2×#825 | C22 | semidirect |
| 50. #5005 | C22 | semidirect |
| 51. C2×#805 | C22 | semidirect |
| 52. #4821 | C22 | semidirect |
| 53. #4821 | C22 | semidirect |
| 54. #4821 | C22 | semidirect |
| 55. #4821 | C22 | semidirect |
| 56. D3×#104 | C22 | semidirect |
| 65. #2901 | D3 | semidirect |
| 69. C3×2−1+4 | C2×C4 | semidirect |
| 71. C3×H(5,𝔽2) | C2×C4 | semidirect |
| 78. #1010 | C2×C4 | semidirect |
| 79. #1010 | C2×C4 | semidirect |
| 83. #1009 | C2×C4 | semidirect |
| 84. #1009 | C2×C4 | semidirect |
| 97. D3×#41 | C2×C4 | semidirect |
| 98. D3×#41 | C2×C4 | semidirect |
| 106. #1007 | C2×C4 | semidirect |
| 108. C2×#239 | C2×C4 | semidirect |
| 111. C2×D3×Q8 | C2×C4 | semidirect |
| 117. #1004 | C2×C4 | semidirect |
| 120. C2×#237 | C2×C4 | semidirect |
| 124. C2×D3×D4 | C2×C4 | semidirect |
| 133. C2×C3×M16 | C23 | semidirect |
| 136. C3×#117 | C23 | semidirect |
| 137. C2×C3×C42 | C23 | semidirect |
| 143. #926 | C23 | semidirect |
| 145. C2×C4×Dic3 | C23 | semidirect |
| 146. C2×#208 | C23 | semidirect |
| 151. D3×M16 | C23 | semidirect |
| 167. #872 | C23 | semidirect |
| 168. #872 | C23 | semidirect |
| 169. C42×D3 | C23 | semidirect |
| 171. C3×#104 | C23 | semidirect |
| 172. C3×#104 | C23 | semidirect |
| 173. #837 | C23 | semidirect |
| 174. #837 | C23 | semidirect |
| 175. #825 | C23 | semidirect |
| 176. #825 | C23 | semidirect |
| 177. #805 | C23 | semidirect |
| 178. #805 | C23 | semidirect |
| 197. #568 | C2×D3 | semidirect |
| 207. C4×#41 | C2×D3 | semidirect |
| 217. #421 | C2×D3 | semidirect |
| 222. C2×#104 | C2×D3 | semidirect |
| 369. 2−1+4 | C4×D3 | semidirect |
| 381. H(5,𝔽2) | C4×D3 | semidirect |
| 433. C2×M16 | C22×D3 | semidirect |
| 454. #117 | C22×D3 | semidirect |
| 461. C2×C42 | C22×D3 | semidirect |
| 468. #104 | C22×D3 | semidirect |
| 469. #104 | C22×D3 | semidirect |
| 820. C3 | #60093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D3×#585 | 2 |
| D3×#568 | 2 |
| #85834 | 2 |
| C3×#2901 | 2 |
| #84120 | 2 |
| #83817 | 2 |
| #82536 | 2 |
| #78992 | 2 |
| D3×#421 | 2 |
| #78983 | 2 |
| C2×#4821 | 2 |
| #60093 | 3 |