Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2057 conjugacy classes of subgroups.
The subgroup lattice has 962 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#41×C3⋊D3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×C3×#949 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#63916 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#63830 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5232 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10591593 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10591592 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10591457 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10591456 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10591106 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10591074 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #83946 | — | 3 | 1 | no | maximal |
| 13 | #78884 | — | 3 | 1 | no | maximal |
| 14 | C2×C32×#41 | C22 | 1 | 1 | yes | characteristic |
| 15 | #41×C3⋊D3 | — | 2 | 4 | no | — |
| 16 | #41×C3⋊D3 | — | 2 | 4 | no | — |
| 17 | C2×#3832 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×Q8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×#3830 | — | 2 | 1 | no | — |
| 20 | C2×#3830 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×D4×C3⋊D3 | — | 2 | 1 | no | — |
| 22 | C2×D4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#3828 | — | 2 | 1 | no | — |
| 24 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 26 | C22×C4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 27 | C22×C3×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C22×#626 | — | 2 | 1 | no | — |
| 29 | C3×#949 | — | 2 | 4 | no | — |
| 30 | C2×C3×#215 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×C3×#213 | C22 | 1 | 2 | yes | complemented |
| 32 | C2×C3×C4⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×C3×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×C3×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×(C2×D3)⋊Dic3 | — | 2 | 1 | no | — |
| 36 | #63916 | — | 2 | 1 | no | — |
| 37 | #63916 | — | 2 | 1 | no | — |
| 38 | #63916 | C22 | 1 | 2 | yes | — |
| 39 | #63916 | C22 | 1 | 2 | yes | complemented |
| 40 | #63830 | — | 2 | 4 | no | — |
| 41 | C2×#3716 | C22 | 1 | 2 | yes | complemented |
| 42 | C2×#3714 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#835 | C22 | 1 | 2 | yes | complemented |
| 44 | C3×#832 | C22 | 1 | 2 | yes | complemented |
| 45 | #63567 | C22 | 1 | 2 | yes | complemented |
| 46 | #63564 | C22 | 1 | 2 | yes | complemented |
| 47 | #63557 | C22 | 1 | 2 | yes | complemented |
| 48 | #63557 | C22 | 1 | 2 | yes | complemented |
| 49 | C2×D3×#41 | — | 3 | 1 | no | — |
| 50 | C2×D3×#41 | — | 3 | 1 | no | — |
| 51 | C2×D3×#41 | — | 6 | 1 | no | — |
| 52 | C2×C3×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 53 | C2×#949 | D3 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×#938 | — | 3 | 1 | no | — |
| 55 | C2×#932 | — | 3 | 1 | no | — |
| 56 | C2×#908 | — | 3 | 1 | no | — |
| 57 | C2×#895 | — | 3 | 1 | no | — |
| 58 | C3×#417 | — | 3 | 1 | no | — |
| 59 | #5232 | D3 | 1 | 1 | yes | characteristic, complemented |
| 60 | #5172 | — | 3 | 2 | no | — |
| 61 | #5170 | — | 3 | 2 | no | — |
| 62 | #5158 | — | 3 | 2 | no | — |
| 63 | #5156 | — | 3 | 2 | no | — |
| 64 | #5133 | — | 3 | 1 | no | — |
| 65 | #5126 | — | 3 | 1 | no | — |
| 66 | #5126 | — | 3 | 1 | no | — |
| 67 | #4966 | — | 3 | 1 | no | — |
| 68 | #4810 | — | 3 | 2 | no | — |
| 69 | #4806 | — | 3 | 2 | no | — |
| 70 | #4781 | — | 3 | 2 | no | — |
| 71 | #4773 | — | 3 | 2 | no | — |
| 72 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 73 | C23×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 74 | C23×C3×D3 | — | 2 | 1 | no | — |
| 75 | C32×#41 | — | 2 | 2 | no | — |
| 76 | C32×#41 | D4 | 1 | 4 | yes | complemented |
| 77 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×C32×D4 | — | 2 | 1 | no | — |
| 79 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 80 | C22×C32×C4 | — | 2 | 1 | no | — |
| 81 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×#638 | — | 2 | 1 | no | — |
| 83 | C2×#638 | — | 2 | 1 | no | — |
| 84 | C2×#638 | — | 2 | 1 | no | — |
| 85 | C22×C3⋊Dic3 | — | 2 | 1 | no | — |
| 86 | C22×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 87 | #3832 | — | 2 | 2 | no | — |
| 88 | #3832 | — | 2 | 2 | no | — |
| 89 | Q8×C3⋊D3 | — | 2 | 2 | no | — |
| 90 | Q8×C3⋊D3 | — | 2 | 2 | no | — |
| 91 | #3830 | — | 2 | 8 | no | — |
| 92 | #3830 | — | 2 | 2 | no | — |
| 93 | #3830 | — | 2 | 2 | no | — |
| 94 | D4×C3⋊D3 | — | 2 | 8 | no | — |
| 95 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 96 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 97 | #3828 | — | 2 | 8 | no | — |
| 98 | #3828 | — | 2 | 2 | no | — |
| 99 | #3828 | D4 | 1 | 4 | yes | complemented |
| 100 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 101 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C4×C3⋊D3 | — | 2 | 8 | no | — |
| 103 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 104 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 105 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 106 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 107 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 108 | C2×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 109 | C2×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 110 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×#634 | — | 2 | 1 | no | — |
| 113 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 114 | C22×C3×Dic3 | — | 2 | 1 | no | — |
| 115 | C2×C3×D12 | — | 2 | 2 | no | — |
| 116 | C2×C3×D12 | — | 2 | 2 | no | — |
| 117 | C2×C3×D12 | — | 2 | 1 | no | — |
| 118 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 119 | C2×#626 | — | 2 | 2 | no | — |
| 120 | C2×#626 | — | 2 | 2 | no | — |
| 121 | C2×#626 | — | 4 | 4 | no | — |
| 122 | C3×#215 | — | 2 | 4 | no | — |
| 123 | C3×#213 | — | 2 | 4 | no | — |
| 124 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 125 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 126 | C3×#208 | — | 2 | 2 | no | — |
| 127 | C3×#208 | — | 2 | 2 | no | — |
| 128 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 129 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 130 | (C2×D3)⋊Dic3 | — | 2 | 2 | no | — |
| 131 | (C2×D3)⋊Dic3 | — | 2 | 2 | no | — |
| 132 | #3716 | — | 2 | 4 | no | — |
| 133 | #3714 | — | 2 | 4 | no | — |
| 134 | #3006 | — | 9 | 1 | no | Sylow |
| 135 | C2×C3×#41 | — | 2 | 1 | no | — |
| 136 | C2×C3×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 137 | C2×C3×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 138 | C22×C3×D4 | — | 3 | 1 | no | — |
| 139 | C22×#67 | — | 6 | 1 | no | — |
| 140 | D3×#41 | — | 6 | 4 | no | — |
| 141 | D3×#41 | — | 6 | 4 | no | — |
| 142 | D3×#41 | — | 6 | 8 | no | — |
| 143 | D3×#41 | — | 6 | 8 | no | — |
| 144 | D3×#41 | — | 6 | 4 | no | — |
| 145 | D3×#41 | — | 6 | 4 | no | — |
| 146 | C2×#239 | — | 3 | 1 | no | — |
| 147 | C2×#239 | — | 3 | 1 | no | — |
| 148 | C2×#239 | — | 6 | 1 | no | — |
| 149 | C2×D3×Q8 | — | 3 | 1 | no | — |
| 150 | C2×D3×Q8 | — | 3 | 1 | no | — |
| 151 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 152 | C2×#237 | — | 3 | 1 | no | — |
| 153 | C2×#237 | — | 3 | 1 | no | — |
| 154 | C2×#237 | — | 6 | 1 | no | — |
| 155 | C2×#237 | — | 6 | 1 | no | — |
| 156 | C2×#237 | — | 6 | 1 | no | — |
| 157 | C2×#237 | — | 6 | 2 | no | — |
| 158 | C2×D3×D4 | — | 3 | 1 | no | — |
| 159 | C2×D3×D4 | — | 3 | 1 | no | — |
| 160 | C2×D3×D4 | — | 6 | 1 | no | — |
| 161 | C2×D3×D4 | — | 6 | 1 | no | — |
| 162 | C2×D3×D4 | — | 6 | 1 | no | — |
| 163 | C2×D3×D4 | — | 6 | 2 | no | — |
| 164 | C2×#235 | — | 3 | 1 | no | — |
| 165 | C2×#235 | — | 3 | 1 | no | — |
| 166 | C2×#235 | — | 6 | 1 | no | — |
| 167 | C2×#235 | — | 6 | 1 | no | — |
| 168 | C2×#235 | — | 6 | 1 | no | — |
| 169 | C2×#235 | — | 6 | 2 | no | — |
| 170 | C22×D12 | — | 6 | 1 | no | — |
| 171 | C22×D12 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 172 | C22×C4×D3 | — | 3 | 1 | no | — |
| 173 | C22×C4×D3 | — | 3 | 1 | no | — |
| 174 | C22×C4×D3 | — | 6 | 1 | no | — |
| 175 | C22×C4×D3 | — | 6 | 1 | no | — |
| 176 | C22×C4×D3 | — | 6 | 1 | no | — |
| 177 | C22×C4×D3 | — | 6 | 2 | no | — |
| 178 | C3×AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 179 | C2×C3×SD16 | — | 3 | 2 | no | — |
| 180 | C2×C3×D8 | — | 3 | 2 | no | — |
| 181 | C2×C3×M16 | — | 3 | 1 | no | — |
| 182 | C2×C3×M16 | — | 3 | 1 | no | — |
| 183 | C2×C3×C4⋊C4 | — | 3 | 1 | no | — |
| 184 | C2×#217 | — | 6 | 1 | no | — |
| 185 | #949 | — | 2 | 4 | no | — |
| 186 | C2×#215 | C2×D3 | 1 | 2 | yes | complemented |
| 187 | #938 | — | 3 | 2 | no | — |
| 188 | #938 | — | 3 | 2 | no | — |
| 189 | #938 | — | 6 | 1 | no | — |
| 190 | #938 | — | 6 | 1 | no | — |
| 191 | C2×#214 | — | 3 | 2 | no | — |
| 192 | #932 | — | 6 | 4 | no | — |
| 193 | C2×#213 | — | 3 | 2 | no | — |
| 194 | C2×#213 | C2×D3 | 1 | 2 | yes | complemented |
| 195 | C2×(C2×D3)⋊C4 | — | 6 | 1 | no | — |
| 196 | C2×C4⋊Dic3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 197 | C2×#208 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 198 | C2×#208 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 199 | #908 | — | 6 | 4 | no | — |
| 200 | C2×D24 | — | 3 | 2 | no | — |
| 201 | C2×#204 | — | 3 | 2 | no | — |
| 202 | #895 | — | 3 | 2 | no | — |
| 203 | #895 | — | 3 | 2 | no | — |
| 204 | #895 | — | 6 | 1 | no | — |
| 205 | #895 | — | 6 | 1 | no | — |
| 206 | C3×#103 | — | 3 | 2 | no | — |
| 207 | C3×#102 | — | 3 | 2 | no | — |
| 208 | #835 | C2×D3 | 1 | 2 | yes | complemented |
| 209 | #832 | C2×D3 | 1 | 2 | yes | complemented |
| 210 | #821 | — | 3 | 2 | no | — |
| 211 | (C2×D3)⋊C8 | — | 3 | 2 | no | — |
| 212 | (C2×D3)⋊C8 | — | 3 | 2 | no | — |
| 213 | (C2×D3)⋊C8 | — | 3 | 2 | no | — |
| 214 | (C2×D3)⋊C8 | — | 3 | 2 | no | — |
| 215 | #816 | — | 3 | 2 | no | — |
| 216 | #810 | — | 3 | 2 | no | — |
| 217 | #809 | — | 3 | 2 | no | — |
| 218 | C23×C32 | — | 2 | 1 | no | — |
| 219 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C22×C3⋊D3 | — | 2 | 4 | no | — |
| 221 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 222 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 223 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 224 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 225 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 226 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 227 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | C22×C3×D3 | — | 2 | 2 | no | — |
| 230 | C22×C3×D3 | — | 4 | 2 | no | — |
| 231 | C22×C3×D3 | — | 4 | 2 | no | — |
| 232 | C22×C3×D3 | — | 4 | 2 | no | — |
| 233 | C32×Q8 | — | 2 | 1 | no | — |
| 234 | C32×Q8 | C2×D4 | 1 | 2 | yes | complemented |
| 235 | C32×D4 | — | 2 | 4 | no | — |
| 236 | C32×D4 | — | 2 | 1 | no | — |
| 237 | C32×D4 | C2×D4 | 1 | 2 | yes | complemented |
| 238 | C2×C32×C4 | — | 2 | 1 | no | — |
| 239 | C2×C32×C4 | — | 2 | 4 | no | — |
| 240 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 241 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 243 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 244 | #638 | — | 2 | 4 | no | — |
| 245 | #638 | — | 2 | 4 | no | — |
| 246 | #638 | — | 2 | 4 | no | — |
| 247 | C2×C3⋊Dic3 | — | 2 | 4 | no | — |
| 248 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 249 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 250 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C4⋊(C3⋊D3) | — | 2 | 4 | no | — |
| 253 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 254 | C4⋊(C3⋊D3) | C2×D4 | 1 | 2 | yes | complemented |
| 255 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 256 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 257 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 258 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 259 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 260 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 261 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 262 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 263 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 264 | #634 | — | 2 | 4 | no | — |
| 265 | #634 | — | 2 | 1 | no | — |
| 266 | #634 | C2×D4 | 1 | 2 | yes | complemented |
| 267 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 268 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 269 | C3×D12 | — | 2 | 2 | no | — |
| 270 | C3×D12 | — | 2 | 2 | no | — |
| 271 | C3×D12 | — | 4 | 2 | no | — |
| 272 | #626 | — | 4 | 4 | no | — |
| 273 | #626 | — | 4 | 4 | no | — |
| 274 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 275 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 276 | C22×#41 | — | 9 | 1 | no | — |
| 277 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 278 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 279 | C2×#121 | — | 9 | 1 | no | — |
| 280 | #449 | — | 9 | 2 | no | — |
| 281 | #449 | — | 9 | 2 | no | — |
| 282 | #448 | — | 9 | 2 | no | — |
| 283 | #447 | — | 9 | 2 | no | — |
| 284 | #417 | — | 3 | 1 | no | — |
| 285 | #417 | — | 9 | 1 | no | — |
| 286 | #407 | — | 9 | 1 | no | — |
| 287 | C24×C3 | — | 6 | 1 | no | — |
| 288 | C23×D3 | — | 2 | 1 | no | — |
| 289 | C23×D3 | — | 3 | 1 | no | — |
| 290 | C23×D3 | — | 3 | 1 | no | — |
| 291 | C23×D3 | — | 6 | 1 | no | — |
| 292 | C23×D3 | — | 6 | 1 | no | — |
| 293 | C23×D3 | — | 6 | 1 | no | — |
| 294 | C23×D3 | — | 6 | 2 | no | — |
| 295 | C3×#41 | — | 2 | 4 | no | — |
| 296 | C3×#41 | — | 2 | 2 | no | — |
| 297 | C3×#41 | — | 2 | 2 | no | — |
| 298 | C3×#41 | — | 2 | 4 | no | — |
| 299 | C3×#41 | D12 | 1 | 4 | yes | complemented |
| 300 | C3×#41 | #67 | 1 | 4 | yes | complemented |
| 301 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 302 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 303 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 304 | C2×C3×D4 | — | 2 | 2 | no | — |
| 305 | C2×C3×D4 | — | 2 | 1 | no | — |
| 306 | C2×C3×D4 | — | 2 | 1 | no | — |
| 307 | C2×C3×D4 | — | 2 | 1 | no | — |
| 308 | C2×C3×D4 | — | 3 | 2 | no | — |
| 309 | C2×C3×D4 | — | 6 | 2 | no | — |
| 310 | C2×C3×D4 | — | 6 | 2 | no | — |
| 311 | C2×C3×D4 | — | 6 | 1 | no | — |
| 312 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 313 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 314 | C22×C3×C4 | — | 2 | 2 | no | — |
| 315 | C22×C3×C4 | — | 2 | 1 | no | — |
| 316 | C22×C3×C4 | — | 2 | 1 | no | — |
| 317 | C22×C3×C4 | — | 2 | 1 | no | — |
| 318 | C22×C3×C4 | — | 6 | 1 | no | — |
| 319 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 320 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 321 | C2×#67 | — | 6 | 2 | no | — |
| 322 | C2×#67 | — | 6 | 2 | no | — |
| 323 | C2×#67 | — | 6 | 1 | no | — |
| 324 | C2×#67 | — | 6 | 1 | no | — |
| 325 | C2×#67 | — | 6 | 1 | no | — |
| 326 | C2×#67 | — | 6 | 1 | no | — |
| 327 | C2×#67 | — | 6 | 2 | no | — |
| 328 | C2×#67 | — | 6 | 2 | no | — |
| 329 | C2×#67 | — | 6 | 2 | no | — |
| 330 | C2×#67 | — | 6 | 1 | no | — |
| 331 | C2×#67 | — | 6 | 1 | no | — |
| 332 | C2×#67 | — | 12 | 4 | no | — |
| 333 | C22×Dic3 | — | 2 | 1 | no | — |
| 334 | C22×Dic3 | — | 3 | 1 | no | — |
| 335 | C22×Dic3 | — | 3 | 1 | no | — |
| 336 | C22×Dic3 | — | 6 | 1 | no | — |
| 337 | C22×Dic3 | — | 6 | 1 | no | — |
| 338 | C22×Dic3 | — | 6 | 1 | no | — |
| 339 | C22×Dic3 | — | 6 | 2 | no | — |
| 340 | #239 | — | 6 | 2 | no | — |
| 341 | #239 | — | 6 | 2 | no | — |
| 342 | #239 | — | 6 | 4 | no | — |
| 343 | #239 | — | 6 | 4 | no | — |
| 344 | #239 | — | 6 | 2 | no | — |
| 345 | #239 | — | 6 | 2 | no | — |
| 346 | D3×Q8 | — | 6 | 2 | no | — |
| 347 | D3×Q8 | — | 6 | 2 | no | — |
| 348 | D3×Q8 | — | 6 | 4 | no | — |
| 349 | D3×Q8 | — | 6 | 4 | no | — |
| 350 | D3×Q8 | — | 6 | 2 | no | — |
| 351 | D3×Q8 | — | 6 | 2 | no | — |
| 352 | #237 | — | 6 | 2 | no | — |
| 353 | #237 | — | 6 | 2 | no | — |
| 354 | #237 | — | 6 | 4 | no | — |
| 355 | #237 | — | 6 | 16 | no | — |
| 356 | #237 | — | 6 | 8 | no | — |
| 357 | #237 | — | 6 | 8 | no | — |
| 358 | #237 | — | 6 | 4 | no | — |
| 359 | #237 | — | 6 | 2 | no | — |
| 360 | #237 | — | 6 | 2 | no | — |
| 361 | D3×D4 | — | 6 | 2 | no | — |
| 362 | D3×D4 | — | 6 | 2 | no | — |
| 363 | D3×D4 | — | 6 | 4 | no | — |
| 364 | D3×D4 | — | 6 | 16 | no | — |
| 365 | D3×D4 | — | 6 | 8 | no | — |
| 366 | D3×D4 | — | 6 | 8 | no | — |
| 367 | D3×D4 | — | 6 | 4 | no | — |
| 368 | D3×D4 | — | 6 | 2 | no | — |
| 369 | D3×D4 | — | 6 | 2 | no | — |
| 370 | #235 | — | 3 | 4 | no | — |
| 371 | #235 | — | 3 | 4 | no | — |
| 372 | #235 | — | 6 | 4 | no | — |
| 373 | #235 | — | 6 | 16 | no | — |
| 374 | #235 | — | 6 | 8 | no | — |
| 375 | #235 | — | 6 | 8 | no | — |
| 376 | #235 | — | 6 | 4 | no | — |
| 377 | #235 | — | 6 | 2 | no | — |
| 378 | #235 | — | 6 | 2 | no | — |
| 379 | C2×D12 | — | 2 | 2 | no | — |
| 380 | C2×D12 | — | 2 | 2 | no | — |
| 381 | C2×D12 | — | 2 | 1 | no | — |
| 382 | C2×D12 | — | 3 | 1 | no | — |
| 383 | C2×D12 | — | 3 | 1 | no | — |
| 384 | C2×D12 | — | 6 | 1 | no | — |
| 385 | C2×D12 | — | 6 | 1 | no | — |
| 386 | C2×D12 | — | 6 | 1 | no | — |
| 387 | C2×D12 | — | 6 | 2 | no | — |
| 388 | C2×D12 | — | 6 | 2 | no | — |
| 389 | C2×D12 | — | 6 | 2 | no | — |
| 390 | C2×D12 | — | 12 | 4 | no | — |
| 391 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 392 | C2×C4×D3 | — | 3 | 1 | no | — |
| 393 | C2×C4×D3 | — | 3 | 1 | no | — |
| 394 | C2×C4×D3 | — | 3 | 1 | no | — |
| 395 | C2×C4×D3 | — | 3 | 1 | no | — |
| 396 | C2×C4×D3 | — | 3 | 1 | no | — |
| 397 | C2×C4×D3 | — | 3 | 1 | no | — |
| 398 | C2×C4×D3 | — | 3 | 1 | no | — |
| 399 | C2×C4×D3 | — | 3 | 1 | no | — |
| 400 | C2×C4×D3 | — | 6 | 1 | no | — |
| 401 | C2×C4×D3 | — | 6 | 1 | no | — |
| 402 | C2×C4×D3 | — | 6 | 1 | no | — |
| 403 | C2×C4×D3 | — | 6 | 1 | no | — |
| 404 | C2×C4×D3 | — | 6 | 1 | no | — |
| 405 | C2×C4×D3 | — | 6 | 1 | no | — |
| 406 | C2×C4×D3 | — | 6 | 1 | no | — |
| 407 | C2×C4×D3 | — | 6 | 1 | no | — |
| 408 | C2×C4×D3 | — | 6 | 2 | no | — |
| 409 | C2×C4×D3 | — | 6 | 2 | no | — |
| 410 | C2×C4×D3 | — | 6 | 2 | no | — |
| 411 | C2×C4×D3 | — | 6 | 16 | no | — |
| 412 | C2×C4×D3 | — | 6 | 8 | no | — |
| 413 | C2×C4×D3 | — | 6 | 8 | no | — |
| 414 | C2×C4×D3 | — | 6 | 4 | no | — |
| 415 | C2×C4×D3 | — | 6 | 4 | no | — |
| 416 | C2×C4×D3 | — | 6 | 2 | no | — |
| 417 | C2×C4×D3 | — | 6 | 2 | no | — |
| 418 | C2×C4×D3 | — | 6 | 2 | no | — |
| 419 | C2×C4×D3 | — | 6 | 1 | no | — |
| 420 | C2×C4×D3 | — | 6 | 1 | no | — |
| 421 | C2×C4×D3 | — | 6 | 2 | no | — |
| 422 | C2×Dic6 | — | 3 | 1 | no | — |
| 423 | C2×Dic6 | — | 3 | 1 | no | — |
| 424 | C2×Dic6 | — | 6 | 1 | no | — |
| 425 | C2×Dic6 | — | 6 | 1 | no | — |
| 426 | C2×Dic6 | — | 6 | 1 | no | — |
| 427 | C2×Dic6 | — | 6 | 2 | no | — |
| 428 | C3×SD16 | — | 6 | 4 | no | — |
| 429 | C3×D8 | — | 6 | 4 | no | — |
| 430 | C3×M16 | — | 6 | 2 | no | — |
| 431 | C3×M16 | — | 6 | 2 | no | — |
| 432 | C2×C3×C8 | — | 3 | 2 | no | — |
| 433 | C2×C3×C8 | — | 3 | 2 | no | — |
| 434 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 435 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 436 | #217 | — | 6 | 2 | no | — |
| 437 | #217 | — | 6 | 2 | no | — |
| 438 | #215 | — | 2 | 4 | no | — |
| 439 | #214 | — | 6 | 4 | no | — |
| 440 | #213 | — | 2 | 4 | no | — |
| 441 | #213 | — | 6 | 4 | no | — |
| 442 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 443 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 444 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 445 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 446 | #208 | — | 2 | 2 | no | — |
| 447 | #208 | — | 2 | 2 | no | — |
| 448 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 449 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 450 | D24 | — | 6 | 4 | no | — |
| 451 | #204 | — | 6 | 4 | no | — |
| 452 | C22×C32 | — | 2 | 2 | no | — |
| 453 | C22×C32 | — | 2 | 1 | no | — |
| 454 | C22×C32 | — | 2 | 1 | no | — |
| 455 | C22×C32 | — | 4 | 1 | no | — |
| 456 | C22×C32 | — | 4 | 1 | no | — |
| 457 | C22×C32 | #120 | 1 | 2 | yes | — |
| 458 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 459 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 460 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 461 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 462 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 463 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 464 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 465 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 466 | C2×C3⋊D3 | — | 4 | 8 | no | — |
| 467 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 468 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 469 | C2×C3⋊D3 | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 470 | C2×C3×D3 | — | 4 | 2 | no | — |
| 471 | C2×C3×D3 | — | 4 | 2 | no | — |
| 472 | C2×C3×D3 | — | 4 | 2 | no | — |
| 473 | C2×C3×D3 | — | 8 | 4 | no | — |
| 474 | C32×C4 | — | 2 | 2 | no | — |
| 475 | C32×C4 | #120 | 1 | 2 | yes | — |
| 476 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 477 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 478 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 479 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 480 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 481 | C3×Dic3 | — | 4 | 2 | no | — |
| 482 | C2×#41 | — | 9 | 1 | no | — |
| 483 | C2×#41 | — | 9 | 1 | no | — |
| 484 | C2×#41 | — | 9 | 1 | no | — |
| 485 | C2×#41 | — | 18 | 1 | no | — |
| 486 | C2×#41 | — | 18 | 1 | no | — |
| 487 | C2×#41 | — | 18 | 4 | no | — |
| 488 | C2×#41 | — | 18 | 4 | no | — |
| 489 | C2×#41 | D32 | 1 | 1 | yes | characteristic |
| 490 | C22×Q8 | — | 9 | 1 | no | — |
| 491 | C22×D4 | — | 3 | 1 | no | — |
| 492 | C22×D4 | — | 9 | 1 | no | — |
| 493 | C22×D4 | — | 18 | 1 | no | — |
| 494 | C22×D4 | — | 18 | 1 | no | — |
| 495 | C23×C4 | — | 9 | 1 | no | — |
| 496 | C23×C4 | — | 18 | 1 | no | — |
| 497 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 498 | AGL(1,ℤ/8) | — | 18 | 4 | no | — |
| 499 | C2×SD16 | — | 3 | 2 | no | — |
| 500 | C2×SD16 | — | 9 | 2 | no | — |
| 501 | C2×D8 | — | 3 | 2 | no | — |
| 502 | C2×D8 | — | 9 | 2 | no | — |
| 503 | C2×M16 | — | 3 | 1 | no | — |
| 504 | C2×M16 | — | 3 | 1 | no | — |
| 505 | #121 | — | 9 | 2 | no | — |
| 506 | #121 | — | 9 | 2 | no | — |
| 507 | #121 | — | 18 | 1 | no | — |
| 508 | #121 | — | 18 | 1 | no | — |
| 509 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 510 | C2×C22⋊C4 | — | 18 | 1 | no | — |
| 511 | #103 | — | 3 | 2 | no | — |
| 512 | #103 | — | 9 | 2 | no | — |
| 513 | #102 | — | 3 | 2 | no | — |
| 514 | #102 | — | 9 | 2 | no | — |
| 515 | C22⋊C8 | — | 9 | 2 | no | — |
| 516 | C22⋊C8 | — | 9 | 2 | no | — |
| 517 | C23×C3 | — | 2 | 2 | no | — |
| 518 | C23×C3 | — | 2 | 1 | no | — |
| 519 | C23×C3 | — | 2 | 1 | no | — |
| 520 | C23×C3 | — | 2 | 1 | no | — |
| 521 | C23×C3 | — | 6 | 2 | no | — |
| 522 | C23×C3 | — | 12 | 2 | no | — |
| 523 | C23×C3 | — | 12 | 2 | no | — |
| 524 | C23×C3 | — | 12 | 2 | no | — |
| 525 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 526 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 527 | C22×D3 | — | 2 | 2 | no | — |
| 528 | C22×D3 | — | 3 | 1 | no | — |
| 529 | C22×D3 | — | 3 | 1 | no | — |
| 530 | C22×D3 | — | 3 | 1 | no | — |
| 531 | C22×D3 | — | 3 | 1 | no | — |
| 532 | C22×D3 | — | 4 | 2 | no | — |
| 533 | C22×D3 | — | 4 | 2 | no | — |
| 534 | C22×D3 | — | 4 | 2 | no | — |
| 535 | C22×D3 | — | 6 | 1 | no | — |
| 536 | C22×D3 | — | 6 | 1 | no | — |
| 537 | C22×D3 | — | 6 | 2 | no | — |
| 538 | C22×D3 | — | 6 | 2 | no | — |
| 539 | C22×D3 | — | 6 | 2 | no | — |
| 540 | C22×D3 | — | 6 | 8 | no | — |
| 541 | C22×D3 | — | 6 | 4 | no | — |
| 542 | C22×D3 | — | 6 | 4 | no | — |
| 543 | C22×D3 | — | 6 | 4 | no | — |
| 544 | C22×D3 | — | 6 | 2 | no | — |
| 545 | C22×D3 | — | 6 | 2 | no | — |
| 546 | C22×D3 | — | 6 | 1 | no | — |
| 547 | C22×D3 | — | 6 | 1 | no | — |
| 548 | C22×D3 | — | 12 | 2 | no | — |
| 549 | C22×D3 | — | 12 | 2 | no | — |
| 550 | C22×D3 | — | 12 | 2 | no | — |
| 551 | C22×D3 | — | 12 | 1 | no | — |
| 552 | C22×D3 | — | 12 | 1 | no | — |
| 553 | C22×D3 | — | 12 | 2 | no | — |
| 554 | C22×D3 | — | 12 | 4 | no | — |
| 555 | C22×D3 | — | 12 | 4 | no | — |
| 556 | C22×D3 | — | 12 | 2 | no | — |
| 557 | C22×D3 | — | 12 | 2 | no | — |
| 558 | C3×Q8 | — | 2 | 2 | no | — |
| 559 | C3×Q8 | — | 2 | 1 | no | — |
| 560 | C3×Q8 | — | 2 | 1 | no | — |
| 561 | C3×Q8 | — | 2 | 2 | no | — |
| 562 | C3×Q8 | C2×D12 | 1 | 2 | yes | complemented |
| 563 | C3×Q8 | C2×#67 | 1 | 2 | yes | complemented |
| 564 | C3×D4 | — | 2 | 8 | no | — |
| 565 | C3×D4 | — | 2 | 2 | no | — |
| 566 | C3×D4 | — | 2 | 4 | no | — |
| 567 | C3×D4 | — | 2 | 4 | no | — |
| 568 | C3×D4 | — | 2 | 1 | no | — |
| 569 | C3×D4 | — | 2 | 1 | no | — |
| 570 | C3×D4 | — | 2 | 2 | no | — |
| 571 | C3×D4 | — | 6 | 2 | no | — |
| 572 | C3×D4 | — | 6 | 2 | no | — |
| 573 | C3×D4 | — | 12 | 2 | no | — |
| 574 | C3×D4 | C2×D12 | 1 | 2 | yes | complemented |
| 575 | C3×D4 | C2×#67 | 1 | 2 | yes | complemented |
| 576 | C2×C3×C4 | — | 2 | 2 | no | — |
| 577 | C2×C3×C4 | — | 2 | 8 | no | — |
| 578 | C2×C3×C4 | — | 2 | 1 | no | — |
| 579 | C2×C3×C4 | — | 2 | 1 | no | — |
| 580 | C2×C3×C4 | — | 2 | 4 | no | — |
| 581 | C2×C3×C4 | — | 2 | 4 | no | — |
| 582 | C2×C3×C4 | — | 2 | 1 | no | — |
| 583 | C2×C3×C4 | — | 2 | 2 | no | — |
| 584 | C2×C3×C4 | — | 2 | 1 | no | — |
| 585 | C2×C3×C4 | — | 2 | 2 | no | — |
| 586 | C2×C3×C4 | — | 6 | 2 | no | — |
| 587 | C2×C3×C4 | — | 12 | 2 | no | — |
| 588 | C2×C3×C4 | C2×D12 | 1 | 2 | yes | — |
| 589 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 590 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 591 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 592 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 593 | C2×C3×C4 | C2×#67 | 1 | 2 | yes | — |
| 594 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 595 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 596 | #67 | — | 6 | 8 | no | — |
| 597 | #67 | — | 6 | 8 | no | — |
| 598 | #67 | — | 6 | 4 | no | — |
| 599 | #67 | — | 6 | 4 | no | — |
| 600 | #67 | — | 6 | 4 | no | — |
| 601 | #67 | — | 6 | 4 | no | — |
| 602 | #67 | — | 6 | 8 | no | — |
| 603 | #67 | — | 6 | 4 | no | — |
| 604 | #67 | — | 6 | 4 | no | — |
| 605 | #67 | — | 12 | 4 | no | — |
| 606 | #67 | — | 12 | 4 | no | — |
| 607 | C2×Dic3 | — | 2 | 2 | no | — |
| 608 | C2×Dic3 | — | 3 | 1 | no | — |
| 609 | C2×Dic3 | — | 3 | 1 | no | — |
| 610 | C2×Dic3 | — | 3 | 1 | no | — |
| 611 | C2×Dic3 | — | 3 | 1 | no | — |
| 612 | C2×Dic3 | — | 4 | 2 | no | — |
| 613 | C2×Dic3 | — | 6 | 1 | no | — |
| 614 | C2×Dic3 | — | 6 | 1 | no | — |
| 615 | C2×Dic3 | — | 6 | 2 | no | — |
| 616 | C2×Dic3 | — | 6 | 8 | no | — |
| 617 | C2×Dic3 | — | 6 | 4 | no | — |
| 618 | C2×Dic3 | — | 6 | 4 | no | — |
| 619 | C2×Dic3 | — | 6 | 4 | no | — |
| 620 | C2×Dic3 | — | 6 | 2 | no | — |
| 621 | C2×Dic3 | — | 6 | 2 | no | — |
| 622 | C2×Dic3 | — | 6 | 1 | no | — |
| 623 | C2×Dic3 | — | 6 | 1 | no | — |
| 624 | D12 | — | 2 | 2 | no | — |
| 625 | D12 | — | 2 | 2 | no | — |
| 626 | D12 | — | 3 | 2 | no | — |
| 627 | D12 | — | 3 | 2 | no | — |
| 628 | D12 | — | 4 | 2 | no | — |
| 629 | D12 | — | 6 | 2 | no | — |
| 630 | D12 | — | 6 | 8 | no | — |
| 631 | D12 | — | 6 | 4 | no | — |
| 632 | D12 | — | 6 | 4 | no | — |
| 633 | D12 | — | 6 | 2 | no | — |
| 634 | D12 | — | 6 | 1 | no | — |
| 635 | D12 | — | 6 | 1 | no | — |
| 636 | D12 | — | 12 | 4 | no | — |
| 637 | D12 | — | 12 | 4 | no | — |
| 638 | C4×D3 | — | 6 | 4 | no | — |
| 639 | C4×D3 | — | 6 | 4 | no | — |
| 640 | C4×D3 | — | 6 | 8 | no | — |
| 641 | C4×D3 | — | 6 | 8 | no | — |
| 642 | C4×D3 | — | 6 | 4 | no | — |
| 643 | C4×D3 | — | 6 | 4 | no | — |
| 644 | C4×D3 | — | 6 | 2 | no | — |
| 645 | C4×D3 | — | 6 | 2 | no | — |
| 646 | C4×D3 | — | 6 | 8 | no | — |
| 647 | C4×D3 | — | 6 | 4 | no | — |
| 648 | C4×D3 | — | 6 | 4 | no | — |
| 649 | C4×D3 | — | 6 | 2 | no | — |
| 650 | C4×D3 | — | 6 | 2 | no | — |
| 651 | C4×D3 | — | 6 | 2 | no | — |
| 652 | C4×D3 | — | 6 | 2 | no | — |
| 653 | C4×D3 | — | 6 | 4 | no | — |
| 654 | C4×D3 | — | 6 | 2 | no | — |
| 655 | C4×D3 | — | 6 | 2 | no | — |
| 656 | C4×D3 | — | 6 | 4 | no | — |
| 657 | C4×D3 | — | 6 | 1 | no | — |
| 658 | C4×D3 | — | 6 | 1 | no | — |
| 659 | C4×D3 | — | 6 | 1 | no | — |
| 660 | C4×D3 | — | 6 | 1 | no | — |
| 661 | C4×D3 | — | 6 | 1 | no | — |
| 662 | C4×D3 | — | 6 | 1 | no | — |
| 663 | C4×D3 | — | 6 | 1 | no | — |
| 664 | C4×D3 | — | 6 | 1 | no | — |
| 665 | Dic6 | — | 3 | 2 | no | — |
| 666 | Dic6 | — | 3 | 2 | no | — |
| 667 | Dic6 | — | 6 | 2 | no | — |
| 668 | Dic6 | — | 6 | 8 | no | — |
| 669 | Dic6 | — | 6 | 4 | no | — |
| 670 | Dic6 | — | 6 | 4 | no | — |
| 671 | Dic6 | — | 6 | 2 | no | — |
| 672 | Dic6 | — | 6 | 1 | no | — |
| 673 | Dic6 | — | 6 | 1 | no | — |
| 674 | C3×C8 | — | 6 | 2 | no | — |
| 675 | C3×C8 | — | 6 | 2 | no | — |
| 676 | C3⋊C8 | — | 2 | 2 | no | — |
| 677 | C3⋊C8 | — | 2 | 2 | no | — |
| 678 | C2×C32 | — | 2 | 2 | no | — |
| 679 | C2×C32 | — | 4 | 2 | no | — |
| 680 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 681 | C2×C32 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 682 | C2×C32 | #575 | 1 | 1 | yes | characteristic |
| 683 | C3⋊D3 | — | 2 | 2 | no | — |
| 684 | C3⋊D3 | — | 4 | 1 | no | — |
| 685 | C3⋊D3 | — | 4 | 2 | no | — |
| 686 | C3×D3 | — | 8 | 2 | no | — |
| 687 | C24 | — | 6 | 1 | no | — |
| 688 | C24 | — | 9 | 1 | no | — |
| 689 | C24 | — | 18 | 1 | no | — |
| 690 | #41 | — | 2 | 2 | no | — |
| 691 | #41 | — | 9 | 4 | no | — |
| 692 | #41 | — | 18 | 8 | no | — |
| 693 | #41 | — | 18 | 2 | no | — |
| 694 | #41 | — | 18 | 8 | no | — |
| 695 | #41 | — | 18 | 2 | no | — |
| 696 | #41 | — | 18 | 2 | no | — |
| 697 | #41 | — | 18 | 2 | no | — |
| 698 | #41 | — | 18 | 2 | no | — |
| 699 | #41 | #626 | 1 | 4 | yes | complemented |
| 700 | C2×Q8 | — | 9 | 1 | no | — |
| 701 | C2×Q8 | — | 18 | 1 | no | — |
| 702 | C2×Q8 | — | 18 | 2 | no | — |
| 703 | C2×Q8 | — | 18 | 2 | no | — |
| 704 | C2×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 705 | C2×D4 | — | 2 | 1 | no | — |
| 706 | C2×D4 | — | 3 | 2 | no | — |
| 707 | C2×D4 | — | 6 | 2 | no | — |
| 708 | C2×D4 | — | 6 | 2 | no | — |
| 709 | C2×D4 | — | 6 | 1 | no | — |
| 710 | C2×D4 | — | 9 | 1 | no | — |
| 711 | C2×D4 | — | 18 | 1 | no | — |
| 712 | C2×D4 | — | 18 | 2 | no | — |
| 713 | C2×D4 | — | 18 | 2 | no | — |
| 714 | C2×D4 | — | 18 | 1 | no | — |
| 715 | C2×D4 | — | 18 | 2 | no | — |
| 716 | C2×D4 | — | 18 | 8 | no | — |
| 717 | C2×D4 | — | 18 | 1 | no | — |
| 718 | C2×D4 | — | 18 | 1 | no | — |
| 719 | C2×D4 | — | 18 | 2 | no | — |
| 720 | C2×D4 | — | 36 | 4 | no | — |
| 721 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 722 | C22×C4 | — | 2 | 1 | no | — |
| 723 | C22×C4 | — | 6 | 1 | no | — |
| 724 | C22×C4 | — | 9 | 1 | no | — |
| 725 | C22×C4 | — | 9 | 1 | no | — |
| 726 | C22×C4 | — | 9 | 1 | no | — |
| 727 | C22×C4 | — | 9 | 1 | no | — |
| 728 | C22×C4 | — | 9 | 1 | no | — |
| 729 | C22×C4 | — | 18 | 1 | no | — |
| 730 | C22×C4 | — | 18 | 1 | no | — |
| 731 | C22×C4 | — | 18 | 8 | no | — |
| 732 | C22×C4 | — | 18 | 1 | no | — |
| 733 | C22×C4 | — | 18 | 2 | no | — |
| 734 | C22×C4 | — | 18 | 2 | no | — |
| 735 | C22×C4 | — | 18 | 1 | no | — |
| 736 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 737 | SD16 | — | 6 | 4 | no | — |
| 738 | SD16 | — | 18 | 4 | no | — |
| 739 | D8 | — | 6 | 4 | no | — |
| 740 | D8 | — | 18 | 4 | no | — |
| 741 | M16 | — | 6 | 2 | no | — |
| 742 | M16 | — | 6 | 2 | no | — |
| 743 | C2×C8 | — | 3 | 2 | no | — |
| 744 | C2×C8 | — | 3 | 2 | no | — |
| 745 | C4⋊C4 | — | 3 | 2 | no | — |
| 746 | C4⋊C4 | — | 6 | 1 | no | — |
| 747 | C22⋊C4 | — | 18 | 2 | no | — |
| 748 | C22⋊C4 | — | 18 | 2 | no | — |
| 749 | C22×C3 | — | 2 | 1 | no | — |
| 750 | C22×C3 | — | 2 | 1 | no | — |
| 751 | C22×C3 | — | 2 | 1 | no | — |
| 752 | C22×C3 | — | 2 | 1 | no | — |
| 753 | C22×C3 | — | 2 | 4 | no | — |
| 754 | C22×C3 | — | 2 | 2 | no | — |
| 755 | C22×C3 | — | 2 | 2 | no | — |
| 756 | C22×C3 | — | 2 | 1 | no | — |
| 757 | C22×C3 | — | 2 | 2 | no | — |
| 758 | C22×C3 | — | 4 | 1 | no | — |
| 759 | C22×C3 | — | 4 | 1 | no | — |
| 760 | C22×C3 | — | 4 | 2 | no | — |
| 761 | C22×C3 | — | 4 | 2 | no | — |
| 762 | C22×C3 | — | 4 | 1 | no | — |
| 763 | C22×C3 | — | 4 | 1 | no | — |
| 764 | C22×C3 | — | 4 | 1 | no | — |
| 765 | C22×C3 | — | 4 | 1 | no | — |
| 766 | C22×C3 | — | 12 | 2 | no | — |
| 767 | C22×C3 | — | 12 | 2 | no | — |
| 768 | C22×C3 | — | 12 | 2 | no | — |
| 769 | C22×C3 | — | 24 | 4 | no | — |
| 770 | C22×C3 | #882 | 1 | 2 | yes | — |
| 771 | C22×C3 | #937 | 1 | 2 | yes | — |
| 772 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 773 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 774 | C2×D3 | — | 3 | 2 | no | — |
| 775 | C2×D3 | — | 3 | 2 | no | — |
| 776 | C2×D3 | — | 4 | 2 | no | — |
| 777 | C2×D3 | — | 4 | 2 | no | — |
| 778 | C2×D3 | — | 4 | 2 | no | — |
| 779 | C2×D3 | — | 6 | 2 | no | — |
| 780 | C2×D3 | — | 6 | 2 | no | — |
| 781 | C2×D3 | — | 6 | 2 | no | — |
| 782 | C2×D3 | — | 6 | 1 | no | — |
| 783 | C2×D3 | — | 6 | 1 | no | — |
| 784 | C2×D3 | — | 6 | 1 | no | — |
| 785 | C2×D3 | — | 6 | 1 | no | — |
| 786 | C2×D3 | — | 6 | 4 | no | — |
| 787 | C2×D3 | — | 6 | 2 | no | — |
| 788 | C2×D3 | — | 6 | 2 | no | — |
| 789 | C2×D3 | — | 6 | 1 | no | — |
| 790 | C2×D3 | — | 6 | 1 | no | — |
| 791 | C2×D3 | — | 6 | 1 | no | — |
| 792 | C2×D3 | — | 6 | 1 | no | — |
| 793 | C2×D3 | — | 6 | 1 | no | — |
| 794 | C2×D3 | — | 6 | 2 | no | — |
| 795 | C2×D3 | — | 6 | 1 | no | — |
| 796 | C2×D3 | — | 8 | 4 | no | — |
| 797 | C2×D3 | — | 12 | 1 | no | — |
| 798 | C2×D3 | — | 12 | 1 | no | — |
| 799 | C2×D3 | — | 12 | 4 | no | — |
| 800 | C2×D3 | — | 12 | 4 | no | — |
| 801 | C2×D3 | — | 12 | 8 | no | — |
| 802 | C2×D3 | — | 12 | 16 | no | — |
| 803 | C2×D3 | — | 12 | 8 | no | — |
| 804 | C2×D3 | — | 12 | 8 | no | — |
| 805 | C2×D3 | — | 12 | 2 | no | — |
| 806 | C2×D3 | — | 12 | 2 | no | — |
| 807 | C2×D3 | — | 12 | 1 | no | — |
| 808 | C2×D3 | — | 12 | 1 | no | — |
| 809 | C2×D3 | — | 12 | 1 | no | — |
| 810 | C2×D3 | — | 12 | 1 | no | — |
| 811 | C3×C4 | — | 2 | 4 | no | — |
| 812 | C3×C4 | — | 2 | 2 | no | — |
| 813 | C3×C4 | — | 2 | 2 | no | — |
| 814 | C3×C4 | — | 2 | 1 | no | — |
| 815 | C3×C4 | — | 2 | 1 | no | — |
| 816 | C3×C4 | — | 2 | 2 | no | — |
| 817 | C3×C4 | — | 12 | 2 | no | — |
| 818 | C3×C4 | #882 | 1 | 2 | yes | — |
| 819 | C3×C4 | #937 | 1 | 2 | yes | — |
| 820 | C3×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 821 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 822 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 823 | C3×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 824 | Dic3 | — | 4 | 2 | no | — |
| 825 | Dic3 | — | 6 | 2 | no | — |
| 826 | Dic3 | — | 6 | 4 | no | — |
| 827 | Dic3 | — | 6 | 2 | no | — |
| 828 | Dic3 | — | 6 | 2 | no | — |
| 829 | Dic3 | — | 6 | 1 | no | — |
| 830 | Dic3 | — | 6 | 1 | no | — |
| 831 | Dic3 | — | 6 | 2 | no | — |
| 832 | Dic3 | — | 6 | 1 | no | — |
| 833 | Dic3 | — | 6 | 1 | no | — |
| 834 | C32 | #3006 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 835 | C23 | — | 2 | 1 | no | — |
| 836 | C23 | — | 6 | 2 | no | — |
| 837 | C23 | — | 9 | 1 | no | — |
| 838 | C23 | — | 9 | 1 | no | — |
| 839 | C23 | — | 12 | 2 | no | — |
| 840 | C23 | — | 12 | 2 | no | — |
| 841 | C23 | — | 12 | 2 | no | — |
| 842 | C23 | — | 18 | 2 | no | — |
| 843 | C23 | — | 18 | 4 | no | — |
| 844 | C23 | — | 18 | 1 | no | — |
| 845 | C23 | — | 18 | 2 | no | — |
| 846 | C23 | — | 36 | 1 | no | — |
| 847 | C23 | — | 36 | 2 | no | — |
| 848 | C23 | — | 36 | 2 | no | — |
| 849 | C23 | #3811 | 1 | 1 | yes | characteristic |
| 850 | Q8 | — | 2 | 1 | no | — |
| 851 | Q8 | — | 9 | 2 | no | — |
| 852 | Q8 | — | 18 | 4 | no | — |
| 853 | Q8 | — | 18 | 1 | no | — |
| 854 | Q8 | C2×#626 | 1 | 2 | yes | complemented |
| 855 | D4 | — | 2 | 4 | no | — |
| 856 | D4 | — | 2 | 1 | no | — |
| 857 | D4 | — | 6 | 2 | no | — |
| 858 | D4 | — | 6 | 2 | no | — |
| 859 | D4 | — | 9 | 2 | no | — |
| 860 | D4 | — | 12 | 2 | no | — |
| 861 | D4 | — | 18 | 4 | no | — |
| 862 | D4 | — | 18 | 4 | no | — |
| 863 | D4 | — | 18 | 4 | no | — |
| 864 | D4 | — | 18 | 4 | no | — |
| 865 | D4 | — | 18 | 1 | no | — |
| 866 | D4 | — | 36 | 4 | no | — |
| 867 | D4 | — | 36 | 4 | no | — |
| 868 | D4 | C2×#626 | 1 | 2 | yes | complemented |
| 869 | C2×C4 | — | 2 | 1 | no | — |
| 870 | C2×C4 | — | 2 | 4 | no | — |
| 871 | C2×C4 | — | 6 | 2 | no | — |
| 872 | C2×C4 | — | 9 | 1 | no | — |
| 873 | C2×C4 | — | 9 | 1 | no | — |
| 874 | C2×C4 | — | 12 | 2 | no | — |
| 875 | C2×C4 | — | 18 | 4 | no | — |
| 876 | C2×C4 | — | 18 | 4 | no | — |
| 877 | C2×C4 | — | 18 | 4 | no | — |
| 878 | C2×C4 | — | 18 | 1 | no | — |
| 879 | C2×C4 | — | 18 | 2 | no | — |
| 880 | C2×C4 | — | 18 | 1 | no | — |
| 881 | C2×C4 | — | 18 | 1 | no | — |
| 882 | C2×C4 | — | 18 | 1 | no | — |
| 883 | C2×C4 | — | 18 | 1 | no | — |
| 884 | C2×C4 | — | 18 | 2 | no | — |
| 885 | C2×C4 | — | 18 | 2 | no | — |
| 886 | C2×C4 | — | 18 | 4 | no | — |
| 887 | C2×C4 | C2×#626 | 1 | 2 | yes | — |
| 888 | C2×C4 | #3811 | 1 | 2 | yes | — |
| 889 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 890 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 891 | C8 | — | 6 | 2 | no | — |
| 892 | C8 | — | 6 | 2 | no | — |
| 893 | C2×C3 | — | 2 | 2 | no | — |
| 894 | C2×C3 | — | 2 | 2 | no | — |
| 895 | C2×C3 | — | 2 | 1 | no | — |
| 896 | C2×C3 | — | 2 | 1 | no | — |
| 897 | C2×C3 | — | 2 | 1 | no | — |
| 898 | C2×C3 | — | 4 | 2 | no | — |
| 899 | C2×C3 | — | 4 | 4 | no | — |
| 900 | C2×C3 | — | 4 | 2 | no | — |
| 901 | C2×C3 | — | 4 | 2 | no | — |
| 902 | C2×C3 | — | 24 | 2 | no | — |
| 903 | C2×C3 | C2×#882 | 1 | 1 | yes | characteristic |
| 904 | C2×C3 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 905 | C2×C3 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 906 | C2×C3 | #5773 | 1 | 1 | yes | characteristic |
| 907 | C2×C3 | #5777 | 1 | 1 | yes | characteristic |
| 908 | C2×C3 | C2×#937 | 1 | 1 | yes | characteristic |
| 909 | D3 | — | 6 | 4 | no | — |
| 910 | D3 | — | 6 | 2 | no | — |
| 911 | D3 | — | 6 | 2 | no | — |
| 912 | D3 | — | 8 | 2 | no | — |
| 913 | D3 | — | 12 | 2 | no | — |
| 914 | D3 | — | 12 | 4 | no | — |
| 915 | D3 | — | 12 | 1 | no | — |
| 916 | D3 | — | 12 | 2 | no | — |
| 917 | D3 | — | 12 | 1 | no | — |
| 918 | D3 | — | 12 | 2 | no | — |
| 919 | C22 | — | 2 | 1 | no | — |
| 920 | C22 | — | 2 | 1 | no | — |
| 921 | C22 | — | 2 | 2 | no | — |
| 922 | C22 | — | 4 | 1 | no | — |
| 923 | C22 | — | 4 | 1 | no | — |
| 924 | C22 | — | 9 | 2 | no | — |
| 925 | C22 | — | 12 | 2 | no | — |
| 926 | C22 | — | 12 | 2 | no | — |
| 927 | C22 | — | 12 | 2 | no | — |
| 928 | C22 | — | 18 | 1 | no | — |
| 929 | C22 | — | 18 | 1 | no | — |
| 930 | C22 | — | 18 | 1 | no | — |
| 931 | C22 | — | 18 | 1 | no | — |
| 932 | C22 | — | 18 | 2 | no | — |
| 933 | C22 | — | 18 | 1 | no | — |
| 934 | C22 | — | 24 | 4 | no | — |
| 935 | C22 | — | 36 | 4 | no | — |
| 936 | C22 | — | 36 | 8 | no | — |
| 937 | C22 | — | 36 | 1 | no | — |
| 938 | C22 | — | 36 | 1 | no | — |
| 939 | C22 | #63981 | 1 | 2 | yes | — |
| 940 | C22 | C2×#3811 | 1 | 1 | yes | characteristic |
| 941 | C4 | — | 2 | 2 | no | — |
| 942 | C4 | — | 12 | 2 | no | — |
| 943 | C4 | — | 18 | 1 | no | — |
| 944 | C4 | — | 18 | 1 | no | — |
| 945 | C4 | — | 18 | 2 | no | — |
| 946 | C4 | #63981 | 1 | 2 | yes | — |
| 947 | C4 | C22×#626 | 1 | 1 | yes | characteristic |
| 948 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 949 | C3 | — | 2 | 1 | no | — |
| 950 | C3 | #78884 | 1 | 1 | yes | characteristic, complemented |
| 951 | C3 | #83946 | 1 | 1 | yes | characteristic, complemented |
| 952 | C2 | — | 2 | 2 | no | — |
| 953 | C2 | — | 4 | 2 | no | — |
| 954 | C2 | — | 18 | 2 | no | — |
| 955 | C2 | — | 24 | 2 | no | — |
| 956 | C2 | — | 36 | 1 | no | — |
| 957 | C2 | — | 36 | 2 | no | — |
| 958 | C2 | #10595458 | 1 | 1 | yes | characteristic |
| 959 | C2 | #10595471 | 1 | 1 | yes | characteristic |
| 960 | C2 | C2×#63981 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#41×C3⋊D3 | C2 | semidirect |
| 2. C2×C3×#949 | C2 | semidirect |
| 3. C2×#63916 | C2 | semidirect |
| 4. C2×#63830 | C2 | semidirect |
| 5. C3×#5232 | C2 | semidirect |
| 6. #10591593 | C2 | semidirect |
| 7. #10591592 | C2 | semidirect |
| 8. #10591457 | C2 | semidirect |
| 9. #10591456 | C2 | semidirect |
| 10. #10591106 | C2 | semidirect |
| 11. #10591074 | C2 | semidirect |
| 17. C2×#3832 | C22 | semidirect |
| 18. C2×Q8×C3⋊D3 | C22 | semidirect |
| 20. C2×#3830 | C22 | semidirect |
| 22. C2×D4×C3⋊D3 | C22 | semidirect |
| 27. C22×C3×D12 | C22 | semidirect |
| 30. C2×C3×#215 | C22 | semidirect |
| 31. C2×C3×#213 | C22 | semidirect |
| 32. C2×C3×C4⋊Dic3 | C22 | semidirect |
| 33. C2×C3×#208 | C22 | semidirect |
| 34. C2×C3×#208 | C22 | semidirect |
| 39. #63916 | C22 | semidirect |
| 41. C2×#3716 | C22 | semidirect |
| 42. C2×#3714 | C22 | semidirect |
| 43. C3×#835 | C22 | semidirect |
| 44. C3×#832 | C22 | semidirect |
| 45. #63567 | C22 | semidirect |
| 46. #63564 | C22 | semidirect |
| 47. #63557 | C22 | semidirect |
| 48. #63557 | C22 | semidirect |
| 53. C2×#949 | D3 | semidirect |
| 59. #5232 | D3 | semidirect |
| 76. C32×#41 | D4 | semidirect |
| 99. #3828 | D4 | semidirect |
| 171. C22×D12 | C2×D3 | semidirect |
| 186. C2×#215 | C2×D3 | semidirect |
| 194. C2×#213 | C2×D3 | semidirect |
| 196. C2×C4⋊Dic3 | C2×D3 | semidirect |
| 197. C2×#208 | C2×D3 | semidirect |
| 198. C2×#208 | C2×D3 | semidirect |
| 208. #835 | C2×D3 | semidirect |
| 209. #832 | C2×D3 | semidirect |
| 234. C32×Q8 | C2×D4 | semidirect |
| 237. C32×D4 | C2×D4 | semidirect |
| 254. C4⋊(C3⋊D3) | C2×D4 | semidirect |
| 266. #634 | C2×D4 | semidirect |
| 299. C3×#41 | D12 | semidirect |
| 300. C3×#41 | #67 | semidirect |
| 469. C2×C3⋊D3 | AGL(1,ℤ/8) | semidirect |
| 562. C3×Q8 | C2×D12 | semidirect |
| 563. C3×Q8 | C2×#67 | semidirect |
| 574. C3×D4 | C2×D12 | semidirect |
| 575. C3×D4 | C2×#67 | semidirect |
| 699. #41 | #626 | semidirect |
| 834. C32 | #3006 | semidirect |
| 854. Q8 | C2×#626 | semidirect |
| 868. D4 | C2×#626 | semidirect |
| 950. C3 | #78884 | semidirect |
| 951. C3 | #83946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#41×C3⋊D3 | 2 |
| C2×C3×#949 | 2 |
| C2×#63916 | 2 |
| C2×#63830 | 2 |
| C3×#5232 | 2 |
| #10591593 | 2 |
| #10591592 | 2 |
| #10591457 | 2 |
| #10591456 | 2 |
| #10591106 | 2 |
| #10591074 | 2 |
| #83946 | 3 |
| #78884 | 3 |