Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1837 conjugacy classes of subgroups.
The subgroup lattice has 906 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596692 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3⋊D3×AGL(1,ℤ/8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595300 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595100 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5198 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591671 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10591666 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10591523 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10591015 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10591008 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10591001 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D3×#453 | — | 3 | 2 | no | maximal |
| 13 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×D4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C3×#1009 | C22 | 1 | 2 | yes | complemented |
| 16 | C2×#3811 | — | 2 | 2 | no | — |
| 17 | #64320 | — | 2 | 1 | no | — |
| 18 | #64319 | — | 2 | 1 | no | — |
| 19 | #64313 | — | 2 | 1 | no | — |
| 20 | #64313 | — | 2 | 2 | no | — |
| 21 | D32×D4 | — | 2 | 1 | no | — |
| 22 | D32×D4 | — | 2 | 2 | no | — |
| 23 | #64307 | — | 2 | 2 | no | — |
| 24 | #64307 | C22 | 1 | 2 | yes | complemented |
| 25 | #64306 | — | 2 | 1 | no | — |
| 26 | #64306 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#3802 | — | 2 | 1 | no | — |
| 28 | C2×#3802 | C22 | 1 | 1 | yes | characteristic |
| 29 | C32×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #64158 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #64141 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #64123 | — | 2 | 1 | no | — |
| 33 | SD16×C3⋊D3 | — | 2 | 1 | no | — |
| 34 | #64120 | — | 2 | 1 | no | — |
| 35 | D8×C3⋊D3 | — | 2 | 1 | no | — |
| 36 | #64117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | M16×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C3×#940 | C22 | 1 | 2 | yes | complemented |
| 39 | C3×#932 | C22 | 1 | 2 | yes | complemented |
| 40 | #63979 | — | 2 | 2 | no | — |
| 41 | #63937 | — | 2 | 2 | no | — |
| 42 | #63930 | — | 2 | 1 | no | — |
| 43 | #63926 | — | 2 | 1 | no | — |
| 44 | #63911 | C22 | 1 | 2 | yes | complemented |
| 45 | C4×#624 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #63825 | C22 | 1 | 2 | yes | complemented |
| 47 | #63818 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C3×#837 | C22 | 1 | 2 | yes | complemented |
| 49 | C3×#825 | C22 | 1 | 2 | yes | complemented |
| 50 | C3×#823 | C22 | 1 | 2 | yes | complemented |
| 51 | #63570 | C22 | 1 | 2 | yes | complemented |
| 52 | #63569 | C22 | 1 | 2 | yes | complemented |
| 53 | #63558 | C22 | 1 | 2 | yes | complemented |
| 54 | D3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 55 | D3×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 56 | D3×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 57 | D3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 58 | D3×#127 | — | 3 | 2 | no | — |
| 59 | C3×#453 | — | 3 | 2 | no | — |
| 60 | #5241 | — | 3 | 2 | no | — |
| 61 | #5198 | — | 3 | 2 | no | — |
| 62 | #5198 | D3 | 1 | 2 | yes | complemented |
| 63 | #5077 | — | 3 | 2 | no | — |
| 64 | #4822 | — | 3 | 2 | no | — |
| 65 | #4822 | — | 3 | 2 | no | — |
| 66 | D3×#104 | — | 3 | 2 | no | — |
| 67 | D3×#104 | — | 3 | 2 | no | — |
| 68 | #4747 | — | 3 | 2 | no | — |
| 69 | D3×#100 | — | 3 | 2 | no | — |
| 70 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 71 | C22×D32 | — | 2 | 2 | no | — |
| 72 | C22×D32 | D4 | 1 | 2 | yes | — |
| 73 | C32×#41 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 75 | C2×#638 | — | 2 | 1 | no | — |
| 76 | #3832 | D4 | 1 | 1 | yes | characteristic, complemented |
| 77 | Q8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 78 | #3830 | — | 2 | 1 | no | — |
| 79 | #3830 | D4 | 1 | 1 | yes | characteristic, complemented |
| 80 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 81 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 82 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 83 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 84 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 85 | D4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 86 | #3828 | — | 2 | 1 | no | — |
| 87 | #3828 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic, complemented |
| 89 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 90 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C3×#67 | — | 2 | 4 | no | — |
| 92 | C3×#239 | — | 2 | 2 | no | — |
| 93 | C3×D3×D4 | — | 2 | 4 | no | — |
| 94 | C3×D3×D4 | — | 2 | 2 | no | — |
| 95 | C3×#235 | — | 2 | 2 | no | — |
| 96 | C3×#235 | C23 | 1 | 2 | yes | — |
| 97 | C2×C3×D12 | — | 2 | 2 | no | — |
| 98 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 99 | #3811 | — | 2 | 2 | no | — |
| 100 | #3811 | — | 2 | 1 | no | — |
| 101 | #3811 | — | 4 | 8 | no | — |
| 102 | D3×#67 | — | 2 | 4 | no | — |
| 103 | D3×#67 | — | 2 | 4 | no | — |
| 104 | D3×#67 | — | 2 | 4 | no | — |
| 105 | C2×#626 | — | 2 | 4 | no | — |
| 106 | C2×#625 | — | 2 | 2 | no | — |
| 107 | C2×#625 | D4 | 1 | 2 | yes | — |
| 108 | C2×#624 | — | 2 | 1 | no | — |
| 109 | #3805 | — | 2 | 2 | no | — |
| 110 | #3805 | — | 2 | 1 | no | — |
| 111 | #3802 | — | 2 | 2 | no | — |
| 112 | #3802 | — | 2 | 2 | no | — |
| 113 | #3802 | — | 2 | 1 | no | — |
| 114 | #3802 | — | 2 | 1 | no | — |
| 115 | #3802 | — | 2 | 1 | no | — |
| 116 | #3802 | — | 2 | 1 | no | — |
| 117 | #3802 | — | 2 | 2 | no | — |
| 118 | #3802 | D4 | 1 | 1 | yes | characteristic, complemented |
| 119 | D3×D12 | — | 2 | 4 | no | — |
| 120 | D3×D12 | — | 2 | 2 | no | — |
| 121 | C4×D32 | — | 2 | 2 | no | — |
| 122 | C4×D32 | — | 2 | 1 | no | — |
| 123 | #3798 | — | 2 | 2 | no | — |
| 124 | #3798 | — | 2 | 1 | no | — |
| 125 | #3797 | D4 | 1 | 1 | yes | characteristic, complemented |
| 126 | #3796 | — | 2 | 2 | no | — |
| 127 | #3796 | D4 | 1 | 2 | yes | complemented |
| 128 | #3795 | — | 2 | 4 | no | — |
| 129 | #3795 | — | 2 | 2 | no | — |
| 130 | C32×SD16 | — | 2 | 1 | no | — |
| 131 | C32×D8 | — | 2 | 1 | no | — |
| 132 | C32×M16 | C23 | 1 | 1 | yes | characteristic, complemented |
| 133 | #3755 | — | 2 | 1 | no | — |
| 134 | #3754 | — | 2 | 1 | no | — |
| 135 | #3753 | — | 2 | 1 | no | — |
| 136 | #3753 | — | 2 | 1 | no | — |
| 137 | #3748 | C23 | 1 | 1 | yes | characteristic, complemented |
| 138 | #3745 | — | 2 | 1 | no | — |
| 139 | #3744 | — | 2 | 1 | no | — |
| 140 | #3743 | — | 2 | 1 | no | — |
| 141 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 142 | C3×#214 | — | 2 | 2 | no | — |
| 143 | C3×#213 | — | 2 | 2 | no | — |
| 144 | C3×C4×Dic3 | C23 | 1 | 2 | yes | complemented |
| 145 | C3×#208 | C23 | 1 | 2 | yes | complemented |
| 146 | Dic32 | — | 2 | 1 | no | — |
| 147 | #3717 | — | 2 | 2 | no | — |
| 148 | #3714 | — | 2 | 2 | no | — |
| 149 | #3712 | — | 2 | 1 | no | — |
| 150 | #3710 | — | 2 | 1 | no | — |
| 151 | C2×#453 | — | 9 | 1 | no | Sylow |
| 152 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 153 | #1009 | — | 3 | 2 | no | — |
| 154 | #1009 | — | 6 | 2 | no | — |
| 155 | #1009 | — | 6 | 2 | no | — |
| 156 | #1009 | C2×D3 | 1 | 2 | yes | complemented |
| 157 | D3×#41 | — | 3 | 2 | no | — |
| 158 | D3×#41 | — | 3 | 2 | no | — |
| 159 | D3×#41 | — | 6 | 1 | no | — |
| 160 | D3×#41 | — | 6 | 2 | no | — |
| 161 | D3×#41 | — | 6 | 2 | no | — |
| 162 | #1004 | — | 3 | 2 | no | — |
| 163 | #1004 | — | 6 | 2 | no | — |
| 164 | #1004 | — | 6 | 2 | no | — |
| 165 | #1004 | — | 6 | 4 | no | — |
| 166 | C2×D3×D4 | — | 3 | 2 | no | — |
| 167 | C2×D3×D4 | — | 3 | 2 | no | — |
| 168 | C2×D3×D4 | — | 6 | 1 | no | — |
| 169 | C2×D3×D4 | — | 6 | 2 | no | — |
| 170 | C2×D3×D4 | — | 6 | 2 | no | — |
| 171 | C2×D3×D4 | — | 6 | 4 | no | — |
| 172 | C2×D3×D4 | — | 6 | 4 | no | — |
| 173 | C3×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 174 | C3×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 175 | C3×AGL(1,ℤ/8) | C2×D3 | 1 | 2 | yes | complemented |
| 176 | C3×#127 | — | 3 | 2 | no | — |
| 177 | #949 | — | 3 | 2 | no | — |
| 178 | #949 | — | 3 | 2 | no | — |
| 179 | #949 | — | 6 | 1 | no | — |
| 180 | #940 | — | 3 | 2 | no | — |
| 181 | #940 | — | 6 | 4 | no | — |
| 182 | #940 | C2×D3 | 1 | 2 | yes | complemented |
| 183 | #932 | — | 3 | 2 | no | — |
| 184 | #932 | — | 6 | 1 | no | — |
| 185 | #932 | C2×D3 | 1 | 2 | yes | complemented |
| 186 | #914 | — | 6 | 2 | no | — |
| 187 | #914 | — | 6 | 2 | no | — |
| 188 | #914 | — | 6 | 2 | no | — |
| 189 | D3×SD16 | — | 6 | 2 | no | — |
| 190 | D3×SD16 | — | 6 | 2 | no | — |
| 191 | D3×SD16 | — | 6 | 2 | no | — |
| 192 | #911 | — | 6 | 2 | no | — |
| 193 | #911 | — | 6 | 2 | no | — |
| 194 | #911 | — | 6 | 2 | no | — |
| 195 | D3×D8 | — | 6 | 2 | no | — |
| 196 | D3×D8 | — | 6 | 2 | no | — |
| 197 | D3×D8 | — | 6 | 2 | no | — |
| 198 | #908 | — | 3 | 2 | no | — |
| 199 | #908 | — | 3 | 2 | no | — |
| 200 | #908 | — | 6 | 1 | no | — |
| 201 | D3×M16 | — | 3 | 2 | no | — |
| 202 | D3×M16 | — | 3 | 2 | no | — |
| 203 | D3×M16 | — | 6 | 1 | no | — |
| 204 | #874 | — | 3 | 2 | no | — |
| 205 | C42×D3 | — | 3 | 2 | no | — |
| 206 | C3×#104 | — | 3 | 2 | no | — |
| 207 | C3×#104 | — | 3 | 2 | no | — |
| 208 | C3×#100 | — | 3 | 2 | no | — |
| 209 | #837 | — | 3 | 2 | no | — |
| 210 | #837 | C2×D3 | 1 | 2 | yes | complemented |
| 211 | #833 | — | 3 | 2 | no | — |
| 212 | #825 | — | 3 | 2 | no | — |
| 213 | #825 | C2×D3 | 1 | 2 | yes | complemented |
| 214 | #823 | — | 3 | 2 | no | — |
| 215 | #823 | C2×D3 | 1 | 2 | yes | complemented |
| 216 | #805 | — | 3 | 2 | no | — |
| 217 | #805 | — | 3 | 2 | no | — |
| 218 | C23×C32 | — | 2 | 1 | no | — |
| 219 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 220 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 221 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 222 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 223 | C22×C3⋊D3 | — | 4 | 4 | no | — |
| 224 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C22×C3×D3 | — | 2 | 4 | no | — |
| 226 | C22×C3×D3 | C2×D4 | 1 | 4 | yes | — |
| 227 | C2×D32 | — | 2 | 1 | no | — |
| 228 | C2×D32 | — | 2 | 2 | no | — |
| 229 | C2×D32 | — | 2 | 4 | no | — |
| 230 | C2×D32 | — | 2 | 2 | no | — |
| 231 | C2×D32 | — | 4 | 4 | no | — |
| 232 | C2×D32 | — | 8 | 4 | no | — |
| 233 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 234 | C32×D4 | — | 2 | 1 | no | — |
| 235 | C32×D4 | — | 2 | 1 | no | — |
| 236 | C32×D4 | — | 2 | 1 | no | — |
| 237 | C32×D4 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 238 | C2×C32×C4 | — | 2 | 1 | no | — |
| 239 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 240 | #638 | — | 2 | 1 | no | — |
| 241 | #638 | — | 2 | 1 | no | — |
| 242 | #638 | — | 2 | 1 | no | — |
| 243 | #638 | — | 4 | 1 | no | — |
| 244 | #638 | — | 4 | 1 | no | — |
| 245 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 246 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 247 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 248 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 249 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 250 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 251 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 252 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 253 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 254 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | #634 | — | 2 | 1 | no | — |
| 259 | #634 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 260 | C3×#67 | — | 2 | 4 | no | — |
| 261 | C3×#67 | — | 2 | 2 | no | — |
| 262 | C3×#67 | — | 4 | 8 | no | — |
| 263 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 264 | C3×D12 | — | 2 | 4 | no | — |
| 265 | C3×D12 | — | 2 | 2 | no | — |
| 266 | C3×D12 | — | 2 | 2 | no | — |
| 267 | C3×D12 | C2×D4 | 1 | 2 | yes | complemented |
| 268 | C3×C4×D3 | — | 2 | 4 | no | — |
| 269 | C3×C4×D3 | — | 2 | 2 | no | — |
| 270 | C3×Dic6 | C2×D4 | 1 | 2 | yes | complemented |
| 271 | #627 | — | 2 | 1 | no | — |
| 272 | #626 | — | 2 | 4 | no | — |
| 273 | #626 | — | 2 | 2 | no | — |
| 274 | #626 | — | 4 | 8 | no | — |
| 275 | #625 | — | 2 | 4 | no | — |
| 276 | #625 | — | 2 | 2 | no | — |
| 277 | #625 | — | 2 | 2 | no | — |
| 278 | #625 | — | 2 | 1 | no | — |
| 279 | #624 | — | 2 | 4 | no | — |
| 280 | #624 | — | 2 | 1 | no | — |
| 281 | D3×Dic3 | — | 2 | 4 | no | — |
| 282 | D3×Dic3 | — | 2 | 2 | no | — |
| 283 | C32×C8 | — | 2 | 1 | no | — |
| 284 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 285 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 286 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 287 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 288 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 289 | C2×#127 | — | 9 | 1 | no | — |
| 290 | #453 | — | 3 | 2 | no | — |
| 291 | #453 | — | 9 | 2 | no | — |
| 292 | #453 | — | 9 | 2 | no | — |
| 293 | #453 | — | 9 | 2 | no | — |
| 294 | C2×#104 | — | 9 | 1 | no | — |
| 295 | C2×#104 | — | 9 | 1 | no | — |
| 296 | C2×#100 | — | 9 | 1 | no | — |
| 297 | C23×D3 | — | 3 | 4 | no | — |
| 298 | C23×D3 | — | 6 | 4 | no | — |
| 299 | C23×D3 | — | 6 | 2 | no | — |
| 300 | C23×D3 | — | 12 | 1 | no | — |
| 301 | C3×#41 | — | 2 | 1 | no | — |
| 302 | C3×#41 | — | 3 | 2 | no | — |
| 303 | C3×#41 | — | 6 | 2 | no | — |
| 304 | C3×#41 | — | 6 | 2 | no | — |
| 305 | C3×#41 | C22×D3 | 1 | 2 | yes | — |
| 306 | C2×C3×D4 | — | 2 | 1 | no | — |
| 307 | C2×C3×D4 | — | 3 | 2 | no | — |
| 308 | C2×C3×D4 | — | 6 | 2 | no | — |
| 309 | C2×C3×D4 | — | 6 | 4 | no | — |
| 310 | C2×C3×D4 | — | 6 | 2 | no | — |
| 311 | C2×C3×D4 | — | 6 | 4 | no | — |
| 312 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | complemented |
| 313 | C2×#67 | — | 2 | 4 | no | — |
| 314 | C2×#67 | — | 3 | 4 | no | — |
| 315 | C2×#67 | — | 6 | 4 | no | — |
| 316 | C2×#67 | — | 6 | 2 | no | — |
| 317 | C2×#67 | — | 6 | 4 | no | — |
| 318 | C2×#67 | — | 6 | 4 | no | — |
| 319 | C2×#67 | — | 6 | 4 | no | — |
| 320 | C2×#67 | — | 6 | 4 | no | — |
| 321 | C2×#67 | — | 12 | 1 | no | — |
| 322 | #239 | — | 2 | 2 | no | — |
| 323 | #239 | — | 3 | 2 | no | — |
| 324 | #239 | — | 3 | 2 | no | — |
| 325 | #239 | — | 6 | 1 | no | — |
| 326 | #239 | — | 6 | 2 | no | — |
| 327 | D3×Q8 | — | 3 | 2 | no | — |
| 328 | D3×Q8 | — | 3 | 2 | no | — |
| 329 | D3×Q8 | — | 6 | 1 | no | — |
| 330 | #237 | — | 3 | 2 | no | — |
| 331 | #237 | — | 3 | 2 | no | — |
| 332 | #237 | — | 6 | 1 | no | — |
| 333 | #237 | — | 6 | 2 | no | — |
| 334 | #237 | — | 6 | 4 | no | — |
| 335 | #237 | — | 6 | 2 | no | — |
| 336 | #237 | — | 6 | 2 | no | — |
| 337 | #237 | — | 6 | 4 | no | — |
| 338 | #237 | — | 6 | 2 | no | — |
| 339 | #237 | — | 12 | 1 | no | — |
| 340 | D3×D4 | — | 2 | 4 | no | — |
| 341 | D3×D4 | — | 2 | 2 | no | — |
| 342 | D3×D4 | — | 3 | 2 | no | — |
| 343 | D3×D4 | — | 3 | 2 | no | — |
| 344 | D3×D4 | — | 6 | 1 | no | — |
| 345 | D3×D4 | — | 6 | 2 | no | — |
| 346 | D3×D4 | — | 6 | 4 | no | — |
| 347 | D3×D4 | — | 6 | 2 | no | — |
| 348 | D3×D4 | — | 6 | 2 | no | — |
| 349 | D3×D4 | — | 6 | 2 | no | — |
| 350 | D3×D4 | — | 6 | 2 | no | — |
| 351 | D3×D4 | — | 6 | 2 | no | — |
| 352 | D3×D4 | — | 6 | 2 | no | — |
| 353 | D3×D4 | — | 6 | 2 | no | — |
| 354 | D3×D4 | — | 6 | 2 | no | — |
| 355 | D3×D4 | — | 6 | 2 | no | — |
| 356 | D3×D4 | — | 6 | 4 | no | — |
| 357 | D3×D4 | — | 6 | 4 | no | — |
| 358 | D3×D4 | — | 6 | 2 | no | — |
| 359 | D3×D4 | — | 6 | 4 | no | — |
| 360 | D3×D4 | — | 6 | 2 | no | — |
| 361 | D3×D4 | — | 6 | 4 | no | — |
| 362 | D3×D4 | — | 6 | 4 | no | — |
| 363 | D3×D4 | — | 6 | 4 | no | — |
| 364 | D3×D4 | — | 6 | 2 | no | — |
| 365 | D3×D4 | — | 6 | 2 | no | — |
| 366 | D3×D4 | — | 6 | 2 | no | — |
| 367 | D3×D4 | — | 12 | 1 | no | — |
| 368 | D3×D4 | — | 12 | 1 | no | — |
| 369 | D3×D4 | — | 12 | 1 | no | — |
| 370 | D3×D4 | — | 12 | 16 | no | — |
| 371 | #235 | — | 2 | 2 | no | — |
| 372 | #235 | — | 3 | 2 | no | — |
| 373 | #235 | — | 6 | 1 | no | — |
| 374 | #235 | — | 6 | 2 | no | — |
| 375 | #235 | — | 6 | 2 | no | — |
| 376 | #235 | — | 6 | 4 | no | — |
| 377 | #235 | — | 6 | 2 | no | — |
| 378 | #235 | — | 6 | 4 | no | — |
| 379 | #235 | — | 12 | 1 | no | — |
| 380 | #235 | C22×D3 | 1 | 2 | yes | — |
| 381 | C2×D12 | — | 2 | 2 | no | — |
| 382 | C2×D12 | — | 3 | 2 | no | — |
| 383 | C2×D12 | — | 6 | 1 | no | — |
| 384 | C2×D12 | — | 6 | 2 | no | — |
| 385 | C2×D12 | — | 6 | 4 | no | — |
| 386 | C2×D12 | — | 6 | 4 | no | — |
| 387 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 388 | C2×C4×D3 | — | 3 | 2 | no | — |
| 389 | C2×C4×D3 | — | 6 | 1 | no | — |
| 390 | C2×C4×D3 | — | 6 | 2 | no | — |
| 391 | C2×C4×D3 | — | 6 | 4 | no | — |
| 392 | C2×C4×D3 | — | 6 | 2 | no | — |
| 393 | C2×C4×D3 | — | 6 | 2 | no | — |
| 394 | C2×C4×D3 | — | 12 | 1 | no | — |
| 395 | C3×SD16 | — | 2 | 2 | no | — |
| 396 | C3×SD16 | — | 2 | 2 | no | — |
| 397 | C3×SD16 | — | 6 | 2 | no | — |
| 398 | C3×D8 | — | 2 | 2 | no | — |
| 399 | C3×D8 | — | 2 | 2 | no | — |
| 400 | C3×D8 | — | 6 | 2 | no | — |
| 401 | C3×M16 | — | 2 | 1 | no | — |
| 402 | C3×M16 | — | 3 | 2 | no | — |
| 403 | C3×M16 | C22×D3 | 1 | 2 | yes | complemented |
| 404 | C3×C42 | — | 3 | 2 | no | — |
| 405 | #215 | — | 6 | 2 | no | — |
| 406 | #215 | — | 6 | 2 | no | — |
| 407 | #215 | — | 6 | 2 | no | — |
| 408 | #214 | — | 2 | 2 | no | — |
| 409 | #214 | — | 6 | 2 | no | — |
| 410 | #214 | — | 6 | 2 | no | — |
| 411 | #213 | — | 2 | 2 | no | — |
| 412 | #213 | — | 6 | 2 | no | — |
| 413 | #213 | — | 6 | 2 | no | — |
| 414 | #213 | — | 6 | 2 | no | — |
| 415 | #213 | — | 6 | 2 | no | — |
| 416 | #213 | — | 6 | 2 | no | — |
| 417 | C4×Dic3 | — | 6 | 2 | no | — |
| 418 | C4×Dic3 | C22×D3 | 1 | 2 | yes | complemented |
| 419 | #208 | — | 3 | 2 | no | — |
| 420 | #208 | — | 6 | 1 | no | — |
| 421 | #208 | C22×D3 | 1 | 2 | yes | complemented |
| 422 | D24 | — | 6 | 2 | no | — |
| 423 | D24 | — | 6 | 2 | no | — |
| 424 | D24 | — | 6 | 2 | no | — |
| 425 | #204 | — | 6 | 2 | no | — |
| 426 | #204 | — | 6 | 2 | no | — |
| 427 | #204 | — | 6 | 2 | no | — |
| 428 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 429 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 430 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 431 | D3×C8 | — | 6 | 2 | no | — |
| 432 | D3×C8 | — | 6 | 2 | no | — |
| 433 | D3×C8 | — | 6 | 2 | no | — |
| 434 | C22×C32 | — | 2 | 1 | no | — |
| 435 | C22×C32 | — | 4 | 1 | no | — |
| 436 | C22×C32 | — | 4 | 2 | no | — |
| 437 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 438 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 439 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 440 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 441 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 442 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 443 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 444 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 445 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 446 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 447 | C2×C3×D3 | — | 2 | 4 | no | — |
| 448 | C2×C3×D3 | — | 2 | 2 | no | — |
| 449 | C2×C3×D3 | — | 4 | 4 | no | — |
| 450 | C2×C3×D3 | — | 8 | 4 | no | — |
| 451 | D32 | — | 4 | 4 | no | — |
| 452 | D32 | — | 4 | 2 | no | — |
| 453 | D32 | — | 8 | 2 | no | — |
| 454 | D32 | — | 8 | 4 | no | — |
| 455 | C32×C4 | — | 2 | 1 | no | — |
| 456 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 457 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 458 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 459 | C3⋊Dic3 | #120 | 1 | 1 | yes | characteristic |
| 460 | C3⋊Dic3 | #120 | 1 | 1 | yes | characteristic |
| 461 | C3×Dic3 | — | 2 | 4 | no | — |
| 462 | C3×Dic3 | — | 2 | 2 | no | — |
| 463 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 464 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 465 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 466 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 467 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 468 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 469 | C2×#41 | — | 9 | 1 | no | — |
| 470 | C2×#41 | — | 9 | 1 | no | — |
| 471 | C2×#41 | — | 18 | 1 | no | — |
| 472 | C2×#41 | — | 18 | 1 | no | — |
| 473 | C22×D4 | — | 9 | 1 | no | — |
| 474 | C22×D4 | — | 9 | 1 | no | — |
| 475 | C22×D4 | — | 18 | 1 | no | — |
| 476 | C22×D4 | — | 18 | 1 | no | — |
| 477 | C22×D4 | — | 18 | 2 | no | — |
| 478 | C22×D4 | — | 18 | 2 | no | — |
| 479 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 480 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 481 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 482 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 483 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 484 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 485 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 486 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 487 | AGL(1,ℤ/8) | D32 | 1 | 1 | yes | characteristic, complemented |
| 488 | C2×SD16 | — | 18 | 1 | no | — |
| 489 | C2×SD16 | — | 18 | 1 | no | — |
| 490 | C2×D8 | — | 18 | 1 | no | — |
| 491 | C2×D8 | — | 18 | 1 | no | — |
| 492 | C2×M16 | — | 9 | 1 | no | — |
| 493 | C2×M16 | — | 9 | 1 | no | — |
| 494 | #127 | — | 3 | 2 | no | — |
| 495 | #127 | — | 9 | 2 | no | — |
| 496 | #127 | — | 18 | 2 | no | — |
| 497 | C2×C42 | — | 9 | 1 | no | — |
| 498 | #104 | — | 3 | 2 | no | — |
| 499 | #104 | — | 3 | 2 | no | — |
| 500 | #104 | — | 9 | 2 | no | — |
| 501 | #104 | — | 9 | 2 | no | — |
| 502 | #100 | — | 3 | 2 | no | — |
| 503 | #100 | — | 9 | 2 | no | — |
| 504 | C23×C3 | — | 2 | 2 | no | — |
| 505 | C23×C3 | — | 3 | 4 | no | — |
| 506 | C23×C3 | — | 4 | 1 | no | — |
| 507 | C23×C3 | — | 6 | 4 | no | — |
| 508 | C22×D3 | — | 2 | 4 | no | — |
| 509 | C22×D3 | — | 3 | 2 | no | — |
| 510 | C22×D3 | — | 6 | 1 | no | — |
| 511 | C22×D3 | — | 6 | 2 | no | — |
| 512 | C22×D3 | — | 6 | 4 | no | — |
| 513 | C22×D3 | — | 6 | 4 | no | — |
| 514 | C22×D3 | — | 6 | 4 | no | — |
| 515 | C22×D3 | — | 6 | 4 | no | — |
| 516 | C22×D3 | — | 6 | 2 | no | — |
| 517 | C22×D3 | — | 6 | 2 | no | — |
| 518 | C22×D3 | — | 12 | 1 | no | — |
| 519 | C22×D3 | — | 12 | 1 | no | — |
| 520 | C22×D3 | — | 12 | 2 | no | — |
| 521 | C22×D3 | — | 12 | 2 | no | — |
| 522 | C22×D3 | — | 12 | 8 | no | — |
| 523 | C22×D3 | — | 12 | 2 | no | — |
| 524 | C22×D3 | — | 12 | 2 | no | — |
| 525 | C22×D3 | — | 12 | 8 | no | — |
| 526 | C22×D3 | — | 24 | 4 | no | — |
| 527 | C22×D3 | — | 24 | 8 | no | — |
| 528 | C22×D3 | D3×D4 | 1 | 4 | yes | — |
| 529 | C3×Q8 | — | 2 | 1 | no | — |
| 530 | C3×Q8 | — | 3 | 2 | no | — |
| 531 | C3×Q8 | D3×D4 | 1 | 2 | yes | complemented |
| 532 | C3×D4 | — | 2 | 2 | no | — |
| 533 | C3×D4 | — | 2 | 2 | no | — |
| 534 | C3×D4 | — | 2 | 2 | no | — |
| 535 | C3×D4 | — | 2 | 2 | no | — |
| 536 | C3×D4 | — | 2 | 1 | no | — |
| 537 | C3×D4 | — | 3 | 2 | no | — |
| 538 | C3×D4 | — | 4 | 1 | no | — |
| 539 | C3×D4 | — | 4 | 1 | no | — |
| 540 | C3×D4 | — | 6 | 4 | no | — |
| 541 | C3×D4 | — | 6 | 4 | no | — |
| 542 | C3×D4 | — | 6 | 2 | no | — |
| 543 | C3×D4 | — | 6 | 2 | no | — |
| 544 | C3×D4 | — | 6 | 2 | no | — |
| 545 | C3×D4 | — | 12 | 8 | no | — |
| 546 | C3×D4 | D3×D4 | 1 | 2 | yes | complemented |
| 547 | C2×C3×C4 | — | 2 | 2 | no | — |
| 548 | C2×C3×C4 | — | 2 | 1 | no | — |
| 549 | C2×C3×C4 | — | 4 | 1 | no | — |
| 550 | C2×C3×C4 | — | 6 | 4 | no | — |
| 551 | C2×C3×C4 | — | 6 | 2 | no | — |
| 552 | C2×C3×C4 | — | 6 | 2 | no | — |
| 553 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 554 | #67 | — | 2 | 4 | no | — |
| 555 | #67 | — | 2 | 2 | no | — |
| 556 | #67 | — | 4 | 8 | no | — |
| 557 | #67 | — | 6 | 2 | no | — |
| 558 | #67 | — | 6 | 4 | no | — |
| 559 | #67 | — | 6 | 2 | no | — |
| 560 | #67 | — | 6 | 4 | no | — |
| 561 | #67 | — | 6 | 4 | no | — |
| 562 | #67 | — | 6 | 2 | no | — |
| 563 | #67 | — | 6 | 4 | no | — |
| 564 | #67 | — | 6 | 4 | no | — |
| 565 | #67 | — | 6 | 2 | no | — |
| 566 | #67 | — | 6 | 2 | no | — |
| 567 | #67 | — | 12 | 1 | no | — |
| 568 | #67 | — | 12 | 1 | no | — |
| 569 | #67 | — | 12 | 1 | no | — |
| 570 | #67 | — | 12 | 8 | no | — |
| 571 | #67 | — | 12 | 2 | no | — |
| 572 | #67 | — | 12 | 2 | no | — |
| 573 | #67 | — | 12 | 2 | no | — |
| 574 | #67 | — | 12 | 2 | no | — |
| 575 | C2×Dic3 | — | 2 | 2 | no | — |
| 576 | C2×Dic3 | — | 3 | 2 | no | — |
| 577 | C2×Dic3 | — | 6 | 1 | no | — |
| 578 | C2×Dic3 | — | 6 | 2 | no | — |
| 579 | C2×Dic3 | — | 6 | 4 | no | — |
| 580 | C2×Dic3 | — | 6 | 2 | no | — |
| 581 | C2×Dic3 | — | 12 | 1 | no | — |
| 582 | D12 | — | 2 | 4 | no | — |
| 583 | D12 | — | 2 | 2 | no | — |
| 584 | D12 | — | 2 | 2 | no | — |
| 585 | D12 | — | 3 | 2 | no | — |
| 586 | D12 | — | 6 | 1 | no | — |
| 587 | D12 | — | 6 | 2 | no | — |
| 588 | D12 | — | 6 | 2 | no | — |
| 589 | D12 | — | 6 | 2 | no | — |
| 590 | D12 | — | 6 | 4 | no | — |
| 591 | D12 | — | 6 | 2 | no | — |
| 592 | D12 | — | 6 | 2 | no | — |
| 593 | D12 | — | 12 | 1 | no | — |
| 594 | D12 | — | 12 | 1 | no | — |
| 595 | D12 | — | 12 | 8 | no | — |
| 596 | D12 | D3×D4 | 1 | 2 | yes | complemented |
| 597 | C4×D3 | — | 2 | 4 | no | — |
| 598 | C4×D3 | — | 2 | 2 | no | — |
| 599 | C4×D3 | — | 3 | 2 | no | — |
| 600 | C4×D3 | — | 3 | 2 | no | — |
| 601 | C4×D3 | — | 3 | 2 | no | — |
| 602 | C4×D3 | — | 3 | 2 | no | — |
| 603 | C4×D3 | — | 6 | 1 | no | — |
| 604 | C4×D3 | — | 6 | 1 | no | — |
| 605 | C4×D3 | — | 6 | 1 | no | — |
| 606 | C4×D3 | — | 6 | 1 | no | — |
| 607 | C4×D3 | — | 6 | 2 | no | — |
| 608 | C4×D3 | — | 6 | 8 | no | — |
| 609 | C4×D3 | — | 6 | 2 | no | — |
| 610 | C4×D3 | — | 6 | 2 | no | — |
| 611 | C4×D3 | — | 6 | 2 | no | — |
| 612 | C4×D3 | — | 6 | 4 | no | — |
| 613 | C4×D3 | — | 6 | 2 | no | — |
| 614 | C4×D3 | — | 12 | 1 | no | — |
| 615 | C4×D3 | — | 12 | 1 | no | — |
| 616 | C4×D3 | — | 12 | 1 | no | — |
| 617 | Dic6 | — | 3 | 2 | no | — |
| 618 | Dic6 | — | 6 | 1 | no | — |
| 619 | Dic6 | — | 6 | 2 | no | — |
| 620 | Dic6 | — | 6 | 2 | no | — |
| 621 | Dic6 | — | 12 | 1 | no | — |
| 622 | Dic6 | D3×D4 | 1 | 2 | yes | complemented |
| 623 | C3×C8 | — | 2 | 2 | no | — |
| 624 | C3×C8 | — | 2 | 2 | no | — |
| 625 | C3×C8 | — | 6 | 2 | no | — |
| 626 | C3⋊C8 | — | 2 | 2 | no | — |
| 627 | C3⋊C8 | — | 6 | 2 | no | — |
| 628 | C3⋊C8 | — | 6 | 2 | no | — |
| 629 | C2×C32 | — | 2 | 1 | no | — |
| 630 | C2×C32 | — | 4 | 1 | no | — |
| 631 | C2×C32 | — | 8 | 1 | no | — |
| 632 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 633 | C3⋊D3 | — | 2 | 1 | no | — |
| 634 | C3⋊D3 | — | 4 | 1 | no | — |
| 635 | C3⋊D3 | — | 8 | 1 | no | — |
| 636 | C3⋊D3 | #453 | 1 | 2 | yes | complemented |
| 637 | C3×D3 | — | 4 | 4 | no | — |
| 638 | C3×D3 | — | 4 | 2 | no | — |
| 639 | C24 | — | 9 | 2 | no | — |
| 640 | C24 | — | 18 | 1 | no | — |
| 641 | C24 | — | 18 | 2 | no | — |
| 642 | #41 | — | 3 | 2 | no | — |
| 643 | #41 | — | 6 | 2 | no | — |
| 644 | #41 | — | 6 | 2 | no | — |
| 645 | #41 | — | 9 | 2 | no | — |
| 646 | #41 | — | 9 | 1 | no | — |
| 647 | #41 | — | 9 | 1 | no | — |
| 648 | #41 | — | 9 | 1 | no | — |
| 649 | #41 | — | 18 | 1 | no | — |
| 650 | #41 | — | 18 | 1 | no | — |
| 651 | #41 | — | 18 | 2 | no | — |
| 652 | #41 | — | 18 | 2 | no | — |
| 653 | #41 | — | 18 | 4 | no | — |
| 654 | #41 | — | 18 | 1 | no | — |
| 655 | #41 | — | 18 | 1 | no | — |
| 656 | #41 | — | 18 | 2 | no | — |
| 657 | #41 | — | 18 | 2 | no | — |
| 658 | #41 | C2×D32 | 1 | 1 | yes | characteristic |
| 659 | C2×Q8 | — | 9 | 1 | no | — |
| 660 | C2×Q8 | — | 9 | 1 | no | — |
| 661 | C2×D4 | — | 3 | 2 | no | — |
| 662 | C2×D4 | — | 6 | 2 | no | — |
| 663 | C2×D4 | — | 6 | 4 | no | — |
| 664 | C2×D4 | — | 6 | 2 | no | — |
| 665 | C2×D4 | — | 6 | 4 | no | — |
| 666 | C2×D4 | — | 9 | 1 | no | — |
| 667 | C2×D4 | — | 9 | 1 | no | — |
| 668 | C2×D4 | — | 9 | 2 | no | — |
| 669 | C2×D4 | — | 9 | 1 | no | — |
| 670 | C2×D4 | — | 18 | 2 | no | — |
| 671 | C2×D4 | — | 18 | 4 | no | — |
| 672 | C2×D4 | — | 18 | 4 | no | — |
| 673 | C2×D4 | — | 18 | 1 | no | — |
| 674 | C2×D4 | — | 18 | 1 | no | — |
| 675 | C2×D4 | — | 18 | 1 | no | — |
| 676 | C2×D4 | — | 18 | 1 | no | — |
| 677 | C2×D4 | — | 18 | 1 | no | — |
| 678 | C2×D4 | — | 18 | 1 | no | — |
| 679 | C2×D4 | — | 18 | 1 | no | — |
| 680 | C2×D4 | — | 18 | 1 | no | — |
| 681 | C2×D4 | — | 18 | 1 | no | — |
| 682 | C2×D4 | — | 18 | 1 | no | — |
| 683 | C2×D4 | — | 18 | 2 | no | — |
| 684 | C2×D4 | — | 18 | 1 | no | — |
| 685 | C2×D4 | — | 18 | 2 | no | — |
| 686 | C2×D4 | — | 18 | 2 | no | — |
| 687 | C2×D4 | — | 18 | 2 | no | — |
| 688 | C2×D4 | — | 18 | 4 | no | — |
| 689 | C2×D4 | — | 18 | 4 | no | — |
| 690 | C2×D4 | — | 18 | 4 | no | — |
| 691 | C2×D4 | — | 18 | 2 | no | — |
| 692 | C2×D4 | — | 36 | 8 | no | — |
| 693 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 694 | C22×C4 | — | 9 | 1 | no | — |
| 695 | C22×C4 | — | 18 | 1 | no | — |
| 696 | C22×C4 | — | 18 | 1 | no | — |
| 697 | C22×C4 | — | 18 | 1 | no | — |
| 698 | C22×C4 | — | 18 | 2 | no | — |
| 699 | SD16 | — | 2 | 1 | no | — |
| 700 | SD16 | — | 6 | 2 | no | — |
| 701 | SD16 | — | 18 | 1 | no | — |
| 702 | SD16 | — | 18 | 2 | no | — |
| 703 | SD16 | — | 18 | 1 | no | — |
| 704 | SD16 | — | 18 | 1 | no | — |
| 705 | D8 | — | 2 | 1 | no | — |
| 706 | D8 | — | 6 | 2 | no | — |
| 707 | D8 | — | 18 | 1 | no | — |
| 708 | D8 | — | 18 | 2 | no | — |
| 709 | D8 | — | 18 | 1 | no | — |
| 710 | D8 | — | 18 | 1 | no | — |
| 711 | M16 | — | 3 | 2 | no | — |
| 712 | M16 | — | 9 | 1 | no | — |
| 713 | M16 | — | 18 | 1 | no | — |
| 714 | M16 | — | 18 | 1 | no | — |
| 715 | M16 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 716 | C2×C8 | — | 18 | 1 | no | — |
| 717 | C2×C8 | — | 18 | 1 | no | — |
| 718 | C42 | — | 3 | 2 | no | — |
| 719 | C42 | — | 18 | 1 | no | — |
| 720 | C22×C3 | — | 2 | 2 | no | — |
| 721 | C22×C3 | — | 2 | 1 | no | — |
| 722 | C22×C3 | — | 4 | 1 | no | — |
| 723 | C22×C3 | — | 4 | 4 | no | — |
| 724 | C22×C3 | — | 4 | 2 | no | — |
| 725 | C22×C3 | — | 4 | 2 | no | — |
| 726 | C22×C3 | — | 6 | 2 | no | — |
| 727 | C22×C3 | — | 6 | 4 | no | — |
| 728 | C22×C3 | — | 8 | 2 | no | — |
| 729 | C22×C3 | — | 12 | 4 | no | — |
| 730 | C22×C3 | — | 24 | 4 | no | — |
| 731 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 732 | C2×D3 | — | 2 | 4 | no | — |
| 733 | C2×D3 | — | 2 | 2 | no | — |
| 734 | C2×D3 | — | 3 | 2 | no | — |
| 735 | C2×D3 | — | 3 | 2 | no | — |
| 736 | C2×D3 | — | 4 | 4 | no | — |
| 737 | C2×D3 | — | 6 | 1 | no | — |
| 738 | C2×D3 | — | 6 | 1 | no | — |
| 739 | C2×D3 | — | 6 | 4 | no | — |
| 740 | C2×D3 | — | 6 | 2 | no | — |
| 741 | C2×D3 | — | 8 | 4 | no | — |
| 742 | C2×D3 | — | 12 | 2 | no | — |
| 743 | C2×D3 | — | 12 | 1 | no | — |
| 744 | C2×D3 | — | 12 | 8 | no | — |
| 745 | C2×D3 | — | 12 | 4 | no | — |
| 746 | C2×D3 | — | 12 | 4 | no | — |
| 747 | C2×D3 | — | 12 | 2 | no | — |
| 748 | C2×D3 | — | 12 | 4 | no | — |
| 749 | C2×D3 | — | 12 | 2 | no | — |
| 750 | C2×D3 | — | 24 | 2 | no | — |
| 751 | C2×D3 | — | 24 | 2 | no | — |
| 752 | C2×D3 | — | 24 | 4 | no | — |
| 753 | C2×D3 | — | 24 | 4 | no | — |
| 754 | C2×D3 | — | 24 | 4 | no | — |
| 755 | C2×D3 | — | 24 | 4 | no | — |
| 756 | C2×D3 | — | 24 | 4 | no | — |
| 757 | C2×D3 | — | 24 | 4 | no | — |
| 758 | C2×D3 | — | 24 | 4 | no | — |
| 759 | C3×C4 | — | 2 | 2 | no | — |
| 760 | C3×C4 | — | 2 | 1 | no | — |
| 761 | C3×C4 | — | 2 | 1 | no | — |
| 762 | C3×C4 | — | 4 | 1 | no | — |
| 763 | C3×C4 | — | 6 | 4 | no | — |
| 764 | C3×C4 | — | 6 | 2 | no | — |
| 765 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 766 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 767 | Dic3 | — | 2 | 4 | no | — |
| 768 | Dic3 | — | 2 | 2 | no | — |
| 769 | Dic3 | — | 3 | 2 | no | — |
| 770 | Dic3 | — | 3 | 2 | no | — |
| 771 | Dic3 | — | 6 | 1 | no | — |
| 772 | Dic3 | — | 6 | 1 | no | — |
| 773 | Dic3 | — | 6 | 2 | no | — |
| 774 | Dic3 | — | 12 | 1 | no | — |
| 775 | C32 | C2×#453 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 776 | C23 | — | 2 | 1 | no | — |
| 777 | C23 | — | 3 | 4 | no | — |
| 778 | C23 | — | 6 | 4 | no | — |
| 779 | C23 | — | 9 | 1 | no | — |
| 780 | C23 | — | 18 | 1 | no | — |
| 781 | C23 | — | 18 | 1 | no | — |
| 782 | C23 | — | 18 | 2 | no | — |
| 783 | C23 | — | 18 | 2 | no | — |
| 784 | C23 | — | 18 | 4 | no | — |
| 785 | C23 | — | 18 | 1 | no | — |
| 786 | C23 | — | 36 | 1 | no | — |
| 787 | C23 | — | 36 | 1 | no | — |
| 788 | C23 | — | 36 | 4 | no | — |
| 789 | C23 | — | 36 | 4 | no | — |
| 790 | C23 | — | 72 | 4 | no | — |
| 791 | Q8 | — | 3 | 2 | no | — |
| 792 | Q8 | — | 9 | 1 | no | — |
| 793 | Q8 | — | 18 | 1 | no | — |
| 794 | Q8 | — | 18 | 1 | no | — |
| 795 | Q8 | #3811 | 1 | 1 | yes | characteristic, complemented |
| 796 | D4 | — | 2 | 1 | no | — |
| 797 | D4 | — | 2 | 1 | no | — |
| 798 | D4 | — | 2 | 1 | no | — |
| 799 | D4 | — | 3 | 2 | no | — |
| 800 | D4 | — | 6 | 4 | no | — |
| 801 | D4 | — | 6 | 4 | no | — |
| 802 | D4 | — | 6 | 2 | no | — |
| 803 | D4 | — | 6 | 2 | no | — |
| 804 | D4 | — | 6 | 2 | no | — |
| 805 | D4 | — | 9 | 1 | no | — |
| 806 | D4 | — | 12 | 8 | no | — |
| 807 | D4 | — | 18 | 1 | no | — |
| 808 | D4 | — | 18 | 2 | no | — |
| 809 | D4 | — | 18 | 4 | no | — |
| 810 | D4 | — | 18 | 1 | no | — |
| 811 | D4 | — | 18 | 1 | no | — |
| 812 | D4 | — | 18 | 2 | no | — |
| 813 | D4 | — | 18 | 2 | no | — |
| 814 | D4 | — | 18 | 1 | no | — |
| 815 | D4 | — | 18 | 4 | no | — |
| 816 | D4 | — | 18 | 1 | no | — |
| 817 | D4 | — | 18 | 1 | no | — |
| 818 | D4 | — | 18 | 1 | no | — |
| 819 | D4 | — | 36 | 8 | no | — |
| 820 | D4 | — | 36 | 1 | no | — |
| 821 | D4 | — | 36 | 1 | no | — |
| 822 | D4 | #3811 | 1 | 1 | yes | characteristic, complemented |
| 823 | C2×C4 | — | 2 | 1 | no | — |
| 824 | C2×C4 | — | 6 | 4 | no | — |
| 825 | C2×C4 | — | 6 | 2 | no | — |
| 826 | C2×C4 | — | 6 | 2 | no | — |
| 827 | C2×C4 | — | 9 | 1 | no | — |
| 828 | C2×C4 | — | 9 | 1 | no | — |
| 829 | C2×C4 | — | 9 | 1 | no | — |
| 830 | C2×C4 | — | 9 | 1 | no | — |
| 831 | C2×C4 | — | 9 | 1 | no | — |
| 832 | C2×C4 | — | 18 | 1 | no | — |
| 833 | C2×C4 | — | 18 | 1 | no | — |
| 834 | C2×C4 | — | 18 | 1 | no | — |
| 835 | C2×C4 | — | 18 | 4 | no | — |
| 836 | C2×C4 | — | 18 | 2 | no | — |
| 837 | C2×C4 | — | 18 | 4 | no | — |
| 838 | C2×C4 | — | 18 | 1 | no | — |
| 839 | C2×C4 | — | 18 | 1 | no | — |
| 840 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 841 | C8 | — | 2 | 1 | no | — |
| 842 | C8 | — | 6 | 2 | no | — |
| 843 | C8 | — | 18 | 1 | no | — |
| 844 | C2×C3 | — | 2 | 2 | no | — |
| 845 | C2×C3 | — | 2 | 1 | no | — |
| 846 | C2×C3 | — | 4 | 1 | no | — |
| 847 | C2×C3 | — | 4 | 2 | no | — |
| 848 | C2×C3 | — | 8 | 1 | no | — |
| 849 | C2×C3 | — | 8 | 2 | no | — |
| 850 | C2×C3 | — | 8 | 2 | no | — |
| 851 | C2×C3 | — | 12 | 4 | no | — |
| 852 | C2×C3 | — | 12 | 2 | no | — |
| 853 | C2×C3 | D3×#120 | 1 | 2 | yes | — |
| 854 | D3 | — | 3 | 4 | no | — |
| 855 | D3 | — | 4 | 4 | no | — |
| 856 | D3 | — | 4 | 2 | no | — |
| 857 | D3 | — | 6 | 2 | no | — |
| 858 | D3 | — | 6 | 2 | no | — |
| 859 | D3 | — | 12 | 1 | no | — |
| 860 | D3 | — | 12 | 2 | no | — |
| 861 | D3 | — | 24 | 1 | no | — |
| 862 | D3 | — | 24 | 2 | no | — |
| 863 | D3 | — | 24 | 2 | no | — |
| 864 | C22 | — | 2 | 1 | no | — |
| 865 | C22 | — | 4 | 2 | no | — |
| 866 | C22 | — | 4 | 1 | no | — |
| 867 | C22 | — | 6 | 2 | no | — |
| 868 | C22 | — | 6 | 4 | no | — |
| 869 | C22 | — | 9 | 1 | no | — |
| 870 | C22 | — | 9 | 1 | no | — |
| 871 | C22 | — | 12 | 4 | no | — |
| 872 | C22 | — | 18 | 2 | no | — |
| 873 | C22 | — | 18 | 1 | no | — |
| 874 | C22 | — | 24 | 4 | no | — |
| 875 | C22 | — | 36 | 2 | no | — |
| 876 | C22 | — | 36 | 2 | no | — |
| 877 | C22 | — | 36 | 4 | no | — |
| 878 | C22 | — | 36 | 2 | no | — |
| 879 | C22 | — | 36 | 1 | no | — |
| 880 | C22 | — | 72 | 2 | no | — |
| 881 | C22 | — | 72 | 2 | no | — |
| 882 | C22 | — | 72 | 2 | no | — |
| 883 | C22 | — | 72 | 4 | no | — |
| 884 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 885 | C4 | — | 2 | 1 | no | — |
| 886 | C4 | — | 6 | 4 | no | — |
| 887 | C4 | — | 6 | 2 | no | — |
| 888 | C4 | — | 9 | 1 | no | — |
| 889 | C4 | — | 9 | 1 | no | — |
| 890 | C4 | — | 18 | 1 | no | — |
| 891 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 892 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 893 | C3 | — | 2 | 1 | no | — |
| 894 | C3 | D3×#453 | 1 | 2 | yes | complemented |
| 895 | C2 | — | 2 | 1 | no | — |
| 896 | C2 | — | 4 | 1 | no | — |
| 897 | C2 | — | 8 | 1 | no | — |
| 898 | C2 | — | 9 | 2 | no | — |
| 899 | C2 | — | 12 | 4 | no | — |
| 900 | C2 | — | 12 | 2 | no | — |
| 901 | C2 | — | 18 | 1 | no | — |
| 902 | C2 | — | 36 | 1 | no | — |
| 903 | C2 | — | 72 | 1 | no | — |
| 904 | C2 | #10595278 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596692 | C2 | semidirect |
| 2. C3⋊D3×AGL(1,ℤ/8) | C2 | semidirect |
| 3. #10595300 | C2 | semidirect |
| 4. #10595100 | C2 | semidirect |
| 5. C3×#5198 | C2 | semidirect |
| 6. #10591671 | C2 | semidirect |
| 7. #10591666 | C2 | semidirect |
| 8. #10591523 | C2 | semidirect |
| 9. #10591015 | C2 | semidirect |
| 10. #10591008 | C2 | semidirect |
| 11. #10591001 | C2 | semidirect |
| 14. C2×D4×C3⋊D3 | C22 | semidirect |
| 15. C3×#1009 | C22 | semidirect |
| 24. #64307 | C22 | semidirect |
| 29. C32×AGL(1,ℤ/8) | C22 | semidirect |
| 30. #64158 | C22 | semidirect |
| 31. #64141 | C22 | semidirect |
| 36. #64117 | C22 | semidirect |
| 37. M16×C3⋊D3 | C22 | semidirect |
| 38. C3×#940 | C22 | semidirect |
| 39. C3×#932 | C22 | semidirect |
| 44. #63911 | C22 | semidirect |
| 45. C4×#624 | C22 | semidirect |
| 46. #63825 | C22 | semidirect |
| 47. #63818 | C22 | semidirect |
| 48. C3×#837 | C22 | semidirect |
| 49. C3×#825 | C22 | semidirect |
| 50. C3×#823 | C22 | semidirect |
| 51. #63570 | C22 | semidirect |
| 52. #63569 | C22 | semidirect |
| 53. #63558 | C22 | semidirect |
| 62. #5198 | D3 | semidirect |
| 74. C2×C32×D4 | C23 | semidirect |
| 76. #3832 | D4 | semidirect |
| 77. Q8×C3⋊D3 | D4 | semidirect |
| 79. #3830 | D4 | semidirect |
| 85. D4×C3⋊D3 | D4 | semidirect |
| 88. C2×C4⋊(C3⋊D3) | C23 | semidirect |
| 118. #3802 | D4 | semidirect |
| 125. #3797 | D4 | semidirect |
| 127. #3796 | D4 | semidirect |
| 132. C32×M16 | C23 | semidirect |
| 137. #3748 | C23 | semidirect |
| 144. C3×C4×Dic3 | C23 | semidirect |
| 145. C3×#208 | C23 | semidirect |
| 156. #1009 | C2×D3 | semidirect |
| 175. C3×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 182. #940 | C2×D3 | semidirect |
| 185. #932 | C2×D3 | semidirect |
| 210. #837 | C2×D3 | semidirect |
| 213. #825 | C2×D3 | semidirect |
| 215. #823 | C2×D3 | semidirect |
| 233. C32×Q8 | C2×D4 | semidirect |
| 237. C32×D4 | C2×D4 | semidirect |
| 250. C4⋊(C3⋊D3) | C2×D4 | semidirect |
| 259. #634 | C2×D4 | semidirect |
| 267. C3×D12 | C2×D4 | semidirect |
| 270. C3×Dic6 | C2×D4 | semidirect |
| 312. C2×C3×D4 | C22×D3 | semidirect |
| 403. C3×M16 | C22×D3 | semidirect |
| 418. C4×Dic3 | C22×D3 | semidirect |
| 421. #208 | C22×D3 | semidirect |
| 487. AGL(1,ℤ/8) | D32 | semidirect |
| 531. C3×Q8 | D3×D4 | semidirect |
| 546. C3×D4 | D3×D4 | semidirect |
| 596. D12 | D3×D4 | semidirect |
| 622. Dic6 | D3×D4 | semidirect |
| 636. C3⋊D3 | #453 | semidirect |
| 693. C2×D4 | C2×D32 | semidirect |
| 715. M16 | C2×D32 | semidirect |
| 775. C32 | C2×#453 | semidirect |
| 795. Q8 | #3811 | semidirect |
| 822. D4 | #3811 | semidirect |
| 894. C3 | D3×#453 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596692 | 2 |
| C3⋊D3×AGL(1,ℤ/8) | 2 |
| #10595300 | 2 |
| #10595100 | 2 |
| C3×#5198 | 2 |
| #10591671 | 2 |
| #10591666 | 2 |
| #10591523 | 2 |
| #10591015 | 2 |
| #10591008 | 2 |
| #10591001 | 2 |
| D3×#453 | 3 |