Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
1130 conjugacy classes of subgroups.
The subgroup lattice has 740 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×D4×C3⋊D9 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11722475 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C9×#932 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#63495 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11721187 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11721182 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11721179 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11721174 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11720885 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11720873 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11720863 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10595100 | — | 3 | 1 | no | maximal |
| 13 | D9×AGL(1,ℤ/8) | — | 3 | 1 | no | maximal |
| 14 | C23×C3⋊D9 | — | 2 | 1 | no | — |
| 15 | C2×C3×D4×C9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C2×#6233 | — | 2 | 1 | no | — |
| 17 | D4×C3⋊D9 | — | 2 | 1 | no | — |
| 18 | D4×C3⋊D9 | — | 2 | 1 | no | — |
| 19 | D4×C3⋊D9 | C22 | 1 | 2 | yes | — |
| 20 | D4×C3⋊D9 | C22 | 1 | 2 | yes | complemented |
| 21 | C2×C4⋊(C3⋊D9) | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×C4×C3⋊D9 | C22 | 1 | 1 | yes | characteristic |
| 23 | C9×#235 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C3×#3697 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #88668 | — | 2 | 1 | no | — |
| 26 | #88663 | — | 2 | 1 | no | — |
| 27 | #88646 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C4×D3×D9 | — | 2 | 1 | no | — |
| 29 | #88640 | — | 2 | 1 | no | — |
| 30 | #88639 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | (C3⋊D9)⋊Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #88634 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C9×#214 | C22 | 1 | 2 | yes | complemented |
| 34 | C9×#213 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#3673 | C22 | 1 | 2 | yes | complemented |
| 36 | C3×#3672 | C22 | 1 | 2 | yes | complemented |
| 37 | C9×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C3×#3667 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #88426 | C22 | 1 | 2 | yes | complemented |
| 40 | #88422 | C22 | 1 | 2 | yes | complemented |
| 41 | #88417 | C22 | 1 | 2 | yes | complemented |
| 42 | #88416 | C22 | 1 | 2 | yes | complemented |
| 43 | #88414 | C22 | 1 | 2 | yes | complemented |
| 44 | (C3⋊D9)⋊C8 | C22 | 1 | 2 | yes | complemented |
| 45 | C2×D4×C3⋊D3 | — | 3 | 1 | no | — |
| 46 | #64306 | — | 3 | 1 | no | — |
| 47 | C3×#932 | — | 3 | 1 | no | — |
| 48 | C3×#932 | D3 | 1 | 1 | yes | characteristic |
| 49 | #63937 | — | 3 | 2 | no | — |
| 50 | #63937 | — | 3 | 2 | no | — |
| 51 | #63930 | — | 3 | 2 | no | — |
| 52 | #63926 | — | 3 | 2 | no | — |
| 53 | #63825 | — | 3 | 1 | no | — |
| 54 | #63825 | — | 3 | 1 | no | — |
| 55 | #63818 | — | 3 | 1 | no | — |
| 56 | #41×D9 | — | 3 | 1 | no | — |
| 57 | C2×D4×D9 | — | 3 | 1 | no | — |
| 58 | C2×D4×D9 | — | 6 | 1 | no | — |
| 59 | C9×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 60 | #63512 | — | 3 | 1 | no | — |
| 61 | #63495 | D3 | 1 | 1 | yes | characteristic, complemented |
| 62 | #63476 | — | 3 | 2 | no | — |
| 63 | SD16×D9 | — | 3 | 2 | no | — |
| 64 | #63473 | — | 3 | 2 | no | — |
| 65 | D8×D9 | — | 3 | 2 | no | — |
| 66 | #63470 | — | 3 | 1 | no | — |
| 67 | M16×D9 | — | 3 | 1 | no | — |
| 68 | C23×C3×C9 | — | 2 | 1 | no | — |
| 69 | C22×C3⋊D9 | — | 2 | 1 | no | — |
| 70 | C22×C3⋊D9 | — | 2 | 2 | no | — |
| 71 | C22×C3⋊D9 | — | 2 | 2 | no | — |
| 72 | C22×C3⋊D9 | — | 4 | 4 | no | — |
| 73 | C22×C3⋊D9 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×D3×D9 | — | 2 | 1 | no | — |
| 75 | C3×D4×C9 | — | 2 | 1 | no | — |
| 76 | C3×D4×C9 | C23 | 1 | 2 | yes | — |
| 77 | C2×C3×C4×C9 | C23 | 1 | 1 | yes | characteristic |
| 78 | #6233 | — | 2 | 2 | no | — |
| 79 | #6233 | — | 2 | 2 | no | — |
| 80 | C2×C3⋊Dic9 | D4 | 1 | 1 | yes | characteristic |
| 81 | C4⋊(C3⋊D9) | — | 2 | 1 | no | — |
| 82 | C4⋊(C3⋊D9) | C23 | 1 | 2 | yes | — |
| 83 | C4×C3⋊D9 | D4 | 1 | 1 | yes | characteristic |
| 84 | C4×C3⋊D9 | D4 | 1 | 1 | yes | characteristic |
| 85 | C4×C3⋊D9 | C23 | 1 | 1 | yes | characteristic |
| 86 | C4×C3⋊D9 | C23 | 1 | 1 | yes | characteristic |
| 87 | C9×#67 | — | 2 | 1 | no | — |
| 88 | C3×#611 | — | 2 | 1 | no | — |
| 89 | C9×D12 | C23 | 1 | 1 | yes | characteristic, complemented |
| 90 | C4×D3×C9 | — | 2 | 1 | no | — |
| 91 | C3×D36 | C23 | 1 | 1 | yes | characteristic, complemented |
| 92 | C3×C4×D9 | — | 2 | 1 | no | — |
| 93 | C9×Dic6 | C23 | 1 | 1 | yes | characteristic, complemented |
| 94 | C3×Dic18 | C23 | 1 | 1 | yes | characteristic, complemented |
| 95 | #6195 | — | 2 | 1 | no | — |
| 96 | #6194 | — | 2 | 1 | no | — |
| 97 | D3×Dic9 | — | 2 | 1 | no | — |
| 98 | #6192 | — | 2 | 1 | no | — |
| 99 | (C3⋊D9)⋊C4 | — | 2 | 1 | no | — |
| 100 | Dic3×D9 | — | 2 | 1 | no | — |
| 101 | #6189 | — | 2 | 1 | no | — |
| 102 | C9×C3⋊C8 | C23 | 1 | 2 | yes | complemented |
| 103 | C3×C9⋊C8 | C23 | 1 | 2 | yes | complemented |
| 104 | D3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 105 | D3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 106 | C23×C3⋊D3 | — | 6 | 1 | no | — |
| 107 | C2×C32×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 108 | C2×#638 | — | 6 | 1 | no | — |
| 109 | D4×C3⋊D3 | — | 3 | 2 | no | — |
| 110 | D4×C3⋊D3 | — | 3 | 2 | no | — |
| 111 | D4×C3⋊D3 | — | 6 | 1 | no | — |
| 112 | D4×C3⋊D3 | — | 6 | 1 | no | — |
| 113 | C2×C4⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 114 | C2×C4×C3⋊D3 | — | 3 | 1 | no | — |
| 115 | C3×#235 | — | 3 | 1 | no | — |
| 116 | C3×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 117 | #3811 | — | 6 | 1 | no | — |
| 118 | #3805 | — | 6 | 1 | no | — |
| 119 | #3802 | — | 3 | 1 | no | — |
| 120 | C4×D32 | — | 6 | 1 | no | — |
| 121 | #3798 | — | 6 | 1 | no | — |
| 122 | #3797 | — | 3 | 1 | no | — |
| 123 | #3796 | — | 3 | 1 | no | — |
| 124 | #3796 | — | 3 | 1 | no | — |
| 125 | C23×D9 | — | 6 | 1 | no | — |
| 126 | C23×D9 | — | 6 | 2 | no | — |
| 127 | C3×#214 | — | 3 | 2 | no | — |
| 128 | C3×#214 | C2×D3 | 1 | 2 | yes | — |
| 129 | C3×#213 | — | 3 | 2 | no | — |
| 130 | C3×#213 | C2×D3 | 1 | 2 | yes | — |
| 131 | C3×#208 | — | 3 | 1 | no | — |
| 132 | C3×#208 | C2×D3 | 1 | 1 | yes | characteristic |
| 133 | #3717 | — | 3 | 2 | no | — |
| 134 | #3717 | — | 3 | 2 | no | — |
| 135 | #3714 | — | 3 | 2 | no | — |
| 136 | #3714 | — | 3 | 2 | no | — |
| 137 | #3712 | — | 3 | 2 | no | — |
| 138 | #3710 | — | 3 | 2 | no | — |
| 139 | C9×#41 | — | 3 | 1 | no | — |
| 140 | C2×D4×C9 | — | 2 | 1 | no | — |
| 141 | C2×D4×C9 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 142 | C2×#611 | — | 6 | 1 | no | — |
| 143 | C2×#611 | — | 6 | 2 | no | — |
| 144 | #3701 | — | 3 | 1 | no | — |
| 145 | Q8×D9 | — | 3 | 1 | no | — |
| 146 | #3699 | — | 3 | 1 | no | — |
| 147 | #3699 | — | 6 | 1 | no | — |
| 148 | D4×D9 | — | 3 | 2 | no | — |
| 149 | D4×D9 | — | 3 | 2 | no | — |
| 150 | D4×D9 | — | 3 | 1 | no | — |
| 151 | D4×D9 | — | 6 | 1 | no | — |
| 152 | D4×D9 | — | 6 | 1 | no | — |
| 153 | D4×D9 | — | 6 | 1 | no | — |
| 154 | D4×D9 | — | 6 | 2 | no | — |
| 155 | D4×D9 | — | 6 | 2 | no | — |
| 156 | D4×D9 | — | 6 | 2 | no | — |
| 157 | D4×D9 | — | 6 | 2 | no | — |
| 158 | #3697 | — | 6 | 1 | no | — |
| 159 | #3697 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 160 | C2×D36 | — | 3 | 1 | no | — |
| 161 | C2×D36 | — | 6 | 1 | no | — |
| 162 | C2×C4×D9 | — | 3 | 1 | no | — |
| 163 | C2×C4×D9 | — | 6 | 1 | no | — |
| 164 | C2×C4×D9 | — | 6 | 1 | no | — |
| 165 | C9×SD16 | — | 3 | 2 | no | — |
| 166 | C9×D8 | — | 3 | 2 | no | — |
| 167 | C9×M16 | — | 3 | 1 | no | — |
| 168 | #3675 | — | 3 | 2 | no | — |
| 169 | #3673 | — | 3 | 2 | no | — |
| 170 | #3673 | C2×D3 | 1 | 2 | yes | complemented |
| 171 | #3672 | C2×D3 | 1 | 2 | yes | complemented |
| 172 | #3667 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 173 | D72 | — | 3 | 2 | no | — |
| 174 | #3664 | — | 3 | 2 | no | — |
| 175 | #3663 | — | 3 | 2 | no | — |
| 176 | C8×D9 | — | 3 | 2 | no | — |
| 177 | C22×C3×C9 | — | 2 | 2 | no | — |
| 178 | C22×C3×C9 | — | 4 | 2 | no | — |
| 179 | C22×C3×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C2×C3⋊D9 | — | 2 | 2 | no | — |
| 181 | C2×C3⋊D9 | — | 2 | 2 | no | — |
| 182 | C2×C3⋊D9 | — | 4 | 4 | no | — |
| 183 | C2×C3⋊D9 | — | 4 | 2 | no | — |
| 184 | C2×C3⋊D9 | — | 4 | 4 | no | — |
| 185 | C2×C3⋊D9 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C2×C3⋊D9 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C2×D3×C9 | — | 2 | 1 | no | — |
| 188 | C2×C3×D9 | — | 2 | 1 | no | — |
| 189 | D3×D9 | — | 4 | 2 | no | — |
| 190 | C3×C4×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C3×C4×C9 | C24 | 1 | 1 | yes | characteristic |
| 192 | C3⋊Dic9 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C3⋊Dic9 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C9×Dic3 | — | 2 | 1 | no | — |
| 195 | C3×Dic9 | — | 2 | 1 | no | — |
| 196 | D3×#41 | — | 9 | 1 | no | — |
| 197 | D3×#41 | — | 9 | 1 | no | — |
| 198 | C2×D3×D4 | — | 9 | 1 | no | — |
| 199 | C2×D3×D4 | — | 9 | 1 | no | — |
| 200 | C2×D3×D4 | — | 18 | 1 | no | — |
| 201 | C3×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 202 | C3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 203 | #949 | — | 9 | 1 | no | — |
| 204 | #949 | — | 9 | 1 | no | — |
| 205 | #932 | — | 3 | 1 | no | — |
| 206 | #932 | D9 | 1 | 1 | yes | characteristic, complemented |
| 207 | #914 | — | 9 | 2 | no | — |
| 208 | #914 | — | 9 | 2 | no | — |
| 209 | D3×SD16 | — | 9 | 2 | no | — |
| 210 | D3×SD16 | — | 9 | 2 | no | — |
| 211 | #911 | — | 9 | 2 | no | — |
| 212 | #911 | — | 9 | 2 | no | — |
| 213 | D3×D8 | — | 9 | 2 | no | — |
| 214 | D3×D8 | — | 9 | 2 | no | — |
| 215 | #908 | — | 9 | 1 | no | — |
| 216 | #908 | — | 9 | 1 | no | — |
| 217 | D3×M16 | — | 9 | 1 | no | — |
| 218 | D3×M16 | — | 9 | 1 | no | — |
| 219 | C23×C32 | — | 2 | 1 | no | — |
| 220 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 221 | C22×C3⋊D3 | — | 6 | 2 | no | — |
| 222 | C22×C3⋊D3 | — | 6 | 2 | no | — |
| 223 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 224 | C22×C3⋊D3 | — | 12 | 4 | no | — |
| 225 | C2×D32 | — | 6 | 1 | no | — |
| 226 | C32×D4 | — | 2 | 1 | no | — |
| 227 | C32×D4 | C22×D3 | 1 | 2 | yes | — |
| 228 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 229 | #638 | — | 6 | 2 | no | — |
| 230 | #638 | — | 6 | 2 | no | — |
| 231 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 232 | C4⋊(C3⋊D3) | — | 3 | 2 | no | — |
| 233 | C4⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 234 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 235 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 236 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 237 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 238 | C3×#67 | — | 2 | 1 | no | — |
| 239 | C3×#67 | — | 6 | 1 | no | — |
| 240 | C3×D12 | — | 3 | 1 | no | — |
| 241 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 242 | C3×C4×D3 | — | 2 | 1 | no | — |
| 243 | C3×C4×D3 | — | 6 | 1 | no | — |
| 244 | C3×Dic6 | — | 3 | 1 | no | — |
| 245 | C3×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 246 | #627 | — | 6 | 1 | no | — |
| 247 | #626 | — | 6 | 1 | no | — |
| 248 | #626 | — | 6 | 1 | no | — |
| 249 | #625 | — | 6 | 1 | no | — |
| 250 | #624 | — | 6 | 1 | no | — |
| 251 | D3×Dic3 | — | 6 | 1 | no | — |
| 252 | D3×Dic3 | — | 6 | 1 | no | — |
| 253 | C23×C9 | — | 2 | 2 | no | — |
| 254 | C23×C9 | — | 2 | 1 | no | — |
| 255 | C22×D9 | — | 3 | 1 | no | — |
| 256 | C22×D9 | — | 6 | 1 | no | — |
| 257 | C22×D9 | — | 6 | 1 | no | — |
| 258 | C22×D9 | — | 6 | 2 | no | — |
| 259 | C22×D9 | — | 6 | 2 | no | — |
| 260 | C22×D9 | — | 6 | 2 | no | — |
| 261 | C22×D9 | — | 6 | 4 | no | — |
| 262 | C22×D9 | — | 6 | 4 | no | — |
| 263 | C22×D9 | — | 6 | 1 | no | — |
| 264 | C22×D9 | — | 12 | 4 | no | — |
| 265 | C22×D9 | — | 12 | 8 | no | — |
| 266 | C3×C3⋊C8 | — | 3 | 2 | no | — |
| 267 | C3×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 268 | Q8×C9 | — | 3 | 1 | no | — |
| 269 | D4×C9 | — | 2 | 2 | no | — |
| 270 | D4×C9 | — | 2 | 1 | no | — |
| 271 | D4×C9 | — | 2 | 2 | no | — |
| 272 | D4×C9 | — | 3 | 1 | no | — |
| 273 | D4×C9 | — | 6 | 1 | no | — |
| 274 | D4×C9 | C22×D3 | 1 | 2 | yes | — |
| 275 | C2×C4×C9 | — | 2 | 1 | no | — |
| 276 | C2×C4×C9 | — | 6 | 1 | no | — |
| 277 | C2×C4×C9 | C22×D3 | 1 | 1 | yes | characteristic |
| 278 | #611 | — | 2 | 1 | no | — |
| 279 | #611 | — | 6 | 1 | no | — |
| 280 | #611 | — | 6 | 1 | no | — |
| 281 | #611 | — | 6 | 2 | no | — |
| 282 | #611 | — | 6 | 2 | no | — |
| 283 | #611 | — | 6 | 4 | no | — |
| 284 | #611 | — | 6 | 4 | no | — |
| 285 | C2×Dic9 | — | 3 | 1 | no | — |
| 286 | C2×Dic9 | — | 6 | 1 | no | — |
| 287 | C2×Dic9 | — | 6 | 1 | no | — |
| 288 | D36 | — | 3 | 2 | no | — |
| 289 | D36 | — | 6 | 2 | no | — |
| 290 | D36 | — | 6 | 2 | no | — |
| 291 | D36 | — | 6 | 1 | no | — |
| 292 | D36 | — | 6 | 1 | no | — |
| 293 | D36 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 294 | C4×D9 | — | 2 | 1 | no | — |
| 295 | C4×D9 | — | 3 | 1 | no | — |
| 296 | C4×D9 | — | 3 | 1 | no | — |
| 297 | C4×D9 | — | 3 | 1 | no | — |
| 298 | C4×D9 | — | 3 | 1 | no | — |
| 299 | C4×D9 | — | 6 | 1 | no | — |
| 300 | C4×D9 | — | 6 | 1 | no | — |
| 301 | C4×D9 | — | 6 | 1 | no | — |
| 302 | C4×D9 | — | 6 | 1 | no | — |
| 303 | C4×D9 | — | 6 | 1 | no | — |
| 304 | C4×D9 | — | 6 | 1 | no | — |
| 305 | Dic18 | — | 6 | 1 | no | — |
| 306 | Dic18 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 307 | C8×C9 | — | 3 | 2 | no | — |
| 308 | C9⋊C8 | C22×D3 | 1 | 2 | yes | complemented |
| 309 | C2×AGL(1,ℤ/8) | — | 27 | 1 | no | Sylow |
| 310 | C2×C3×C9 | — | 2 | 1 | no | — |
| 311 | C2×C3×C9 | — | 4 | 2 | no | — |
| 312 | C2×C3×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 313 | C3⋊D9 | — | 2 | 1 | no | — |
| 314 | C3⋊D9 | — | 4 | 2 | no | — |
| 315 | C3⋊D9 | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 316 | D3×C9 | — | 4 | 1 | no | — |
| 317 | C3×D9 | — | 4 | 1 | no | — |
| 318 | C23×D3 | — | 18 | 1 | no | — |
| 319 | C23×D3 | — | 18 | 1 | no | — |
| 320 | C23×D3 | — | 18 | 2 | no | — |
| 321 | C3×#41 | — | 3 | 1 | no | — |
| 322 | C3×#41 | — | 9 | 1 | no | — |
| 323 | C2×C3×D4 | — | 2 | 1 | no | — |
| 324 | C2×C3×D4 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 325 | C2×C3×D4 | D32 | 1 | 1 | yes | characteristic |
| 326 | C2×#67 | — | 18 | 1 | no | — |
| 327 | C2×#67 | — | 18 | 1 | no | — |
| 328 | C2×#67 | — | 18 | 2 | no | — |
| 329 | #239 | — | 9 | 1 | no | — |
| 330 | #239 | — | 9 | 1 | no | — |
| 331 | D3×Q8 | — | 9 | 1 | no | — |
| 332 | D3×Q8 | — | 9 | 1 | no | — |
| 333 | #237 | — | 9 | 1 | no | — |
| 334 | #237 | — | 9 | 1 | no | — |
| 335 | #237 | — | 18 | 1 | no | — |
| 336 | #237 | — | 18 | 1 | no | — |
| 337 | D3×D4 | — | 9 | 1 | no | — |
| 338 | D3×D4 | — | 9 | 2 | no | — |
| 339 | D3×D4 | — | 9 | 2 | no | — |
| 340 | D3×D4 | — | 9 | 2 | no | — |
| 341 | D3×D4 | — | 9 | 2 | no | — |
| 342 | D3×D4 | — | 9 | 1 | no | — |
| 343 | D3×D4 | — | 18 | 2 | no | — |
| 344 | D3×D4 | — | 18 | 2 | no | — |
| 345 | D3×D4 | — | 18 | 1 | no | — |
| 346 | D3×D4 | — | 18 | 1 | no | — |
| 347 | D3×D4 | — | 18 | 1 | no | — |
| 348 | D3×D4 | — | 18 | 1 | no | — |
| 349 | D3×D4 | — | 18 | 1 | no | — |
| 350 | D3×D4 | — | 18 | 1 | no | — |
| 351 | D3×D4 | — | 18 | 2 | no | — |
| 352 | D3×D4 | — | 18 | 2 | no | — |
| 353 | #235 | — | 3 | 1 | no | — |
| 354 | #235 | — | 18 | 1 | no | — |
| 355 | #235 | — | 18 | 1 | no | — |
| 356 | #235 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 357 | C2×D12 | — | 9 | 1 | no | — |
| 358 | C2×D12 | — | 9 | 1 | no | — |
| 359 | C2×D12 | — | 18 | 1 | no | — |
| 360 | C2×C4×D3 | — | 9 | 1 | no | — |
| 361 | C2×C4×D3 | — | 9 | 1 | no | — |
| 362 | C2×C4×D3 | — | 18 | 1 | no | — |
| 363 | C2×C4×D3 | — | 18 | 1 | no | — |
| 364 | C2×C4×D3 | — | 18 | 1 | no | — |
| 365 | C3×SD16 | — | 3 | 2 | no | — |
| 366 | C3×SD16 | — | 9 | 2 | no | — |
| 367 | C3×D8 | — | 3 | 2 | no | — |
| 368 | C3×D8 | — | 9 | 2 | no | — |
| 369 | C3×M16 | — | 3 | 1 | no | — |
| 370 | C3×M16 | — | 9 | 1 | no | — |
| 371 | #215 | — | 9 | 2 | no | — |
| 372 | #215 | — | 9 | 2 | no | — |
| 373 | #214 | — | 3 | 2 | no | — |
| 374 | #214 | C2×D9 | 1 | 2 | yes | complemented |
| 375 | #213 | — | 3 | 2 | no | — |
| 376 | #213 | — | 9 | 2 | no | — |
| 377 | #213 | — | 9 | 2 | no | — |
| 378 | #213 | C2×D9 | 1 | 2 | yes | complemented |
| 379 | #208 | — | 3 | 1 | no | — |
| 380 | #208 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 381 | D24 | — | 9 | 2 | no | — |
| 382 | D24 | — | 9 | 2 | no | — |
| 383 | #204 | — | 9 | 2 | no | — |
| 384 | #204 | — | 9 | 2 | no | — |
| 385 | ΓL(1,𝔽25) | — | 9 | 2 | no | — |
| 386 | ΓL(1,𝔽25) | — | 9 | 2 | no | — |
| 387 | D3×C8 | — | 9 | 2 | no | — |
| 388 | D3×C8 | — | 9 | 2 | no | — |
| 389 | C22×C32 | — | 2 | 2 | no | — |
| 390 | C22×C32 | — | 4 | 2 | no | — |
| 391 | C22×C32 | D3×D4 | 1 | 1 | yes | characteristic |
| 392 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 393 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 394 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 395 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 396 | C2×C3⋊D3 | — | 12 | 4 | no | — |
| 397 | C2×C3⋊D3 | — | 12 | 4 | no | — |
| 398 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 399 | C2×C3×D3 | — | 2 | 1 | no | — |
| 400 | C2×C3×D3 | — | 6 | 1 | no | — |
| 401 | D32 | — | 12 | 2 | no | — |
| 402 | C32×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 403 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 404 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 405 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 406 | C3×Dic3 | — | 2 | 1 | no | — |
| 407 | C3×Dic3 | — | 6 | 1 | no | — |
| 408 | C22×C9 | — | 2 | 4 | no | — |
| 409 | C22×C9 | — | 2 | 2 | no | — |
| 410 | C22×C9 | — | 2 | 1 | no | — |
| 411 | C22×C9 | — | 4 | 4 | no | — |
| 412 | C22×C9 | — | 4 | 2 | no | — |
| 413 | C22×C9 | — | 6 | 1 | no | — |
| 414 | C22×C9 | D3×D4 | 1 | 1 | yes | characteristic |
| 415 | C2×D9 | — | 2 | 1 | no | — |
| 416 | C2×D9 | — | 3 | 1 | no | — |
| 417 | C2×D9 | — | 3 | 1 | no | — |
| 418 | C2×D9 | — | 6 | 1 | no | — |
| 419 | C2×D9 | — | 6 | 1 | no | — |
| 420 | C2×D9 | — | 6 | 2 | no | — |
| 421 | C2×D9 | — | 6 | 4 | no | — |
| 422 | C2×D9 | — | 6 | 4 | no | — |
| 423 | C2×D9 | — | 6 | 2 | no | — |
| 424 | C2×D9 | — | 12 | 2 | no | — |
| 425 | C2×D9 | — | 12 | 4 | no | — |
| 426 | C2×D9 | — | 12 | 8 | no | — |
| 427 | C2×D9 | — | 12 | 8 | no | — |
| 428 | C2×D9 | — | 12 | 4 | no | — |
| 429 | C2×D9 | — | 12 | 4 | no | — |
| 430 | C2×D9 | — | 12 | 2 | no | — |
| 431 | C4×C9 | — | 2 | 1 | no | — |
| 432 | C4×C9 | — | 2 | 1 | no | — |
| 433 | C4×C9 | — | 6 | 1 | no | — |
| 434 | C4×C9 | D3×D4 | 1 | 1 | yes | characteristic |
| 435 | C4×C9 | C23×D3 | 1 | 1 | yes | characteristic |
| 436 | Dic9 | — | 2 | 1 | no | — |
| 437 | Dic9 | — | 3 | 1 | no | — |
| 438 | Dic9 | — | 3 | 1 | no | — |
| 439 | Dic9 | — | 6 | 1 | no | — |
| 440 | Dic9 | — | 6 | 1 | no | — |
| 441 | C2×#41 | — | 27 | 1 | no | — |
| 442 | C22×D4 | — | 27 | 1 | no | — |
| 443 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 444 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 445 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 446 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 447 | AGL(1,ℤ/8) | — | 27 | 2 | no | — |
| 448 | AGL(1,ℤ/8) | — | 27 | 2 | no | — |
| 449 | C2×SD16 | — | 27 | 2 | no | — |
| 450 | C2×D8 | — | 27 | 2 | no | — |
| 451 | C2×M16 | — | 27 | 1 | no | — |
| 452 | C3×C9 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 453 | C23×C3 | — | 2 | 2 | no | — |
| 454 | C23×C3 | — | 2 | 1 | no | — |
| 455 | C23×C3 | — | 2 | 1 | no | — |
| 456 | C22×D3 | — | 9 | 1 | no | — |
| 457 | C22×D3 | — | 9 | 1 | no | — |
| 458 | C22×D3 | — | 18 | 1 | no | — |
| 459 | C22×D3 | — | 18 | 1 | no | — |
| 460 | C22×D3 | — | 18 | 1 | no | — |
| 461 | C22×D3 | — | 18 | 2 | no | — |
| 462 | C22×D3 | — | 18 | 2 | no | — |
| 463 | C22×D3 | — | 18 | 2 | no | — |
| 464 | C22×D3 | — | 18 | 2 | no | — |
| 465 | C22×D3 | — | 18 | 2 | no | — |
| 466 | C22×D3 | — | 18 | 4 | no | — |
| 467 | C22×D3 | — | 18 | 4 | no | — |
| 468 | C22×D3 | — | 18 | 1 | no | — |
| 469 | C22×D3 | — | 18 | 1 | no | — |
| 470 | C22×D3 | — | 36 | 4 | no | — |
| 471 | C22×D3 | — | 36 | 4 | no | — |
| 472 | C22×D3 | — | 36 | 8 | no | — |
| 473 | C3×Q8 | — | 3 | 1 | no | — |
| 474 | C3×Q8 | — | 9 | 1 | no | — |
| 475 | C3×D4 | — | 2 | 2 | no | — |
| 476 | C3×D4 | — | 2 | 1 | no | — |
| 477 | C3×D4 | — | 2 | 1 | no | — |
| 478 | C3×D4 | — | 2 | 2 | no | — |
| 479 | C3×D4 | — | 3 | 1 | no | — |
| 480 | C3×D4 | — | 6 | 1 | no | — |
| 481 | C3×D4 | — | 9 | 1 | no | — |
| 482 | C3×D4 | — | 18 | 1 | no | — |
| 483 | C3×D4 | C22×D9 | 1 | 2 | yes | — |
| 484 | C3×D4 | C2×D32 | 1 | 2 | yes | — |
| 485 | C2×C3×C4 | — | 2 | 1 | no | — |
| 486 | C2×C3×C4 | — | 6 | 1 | no | — |
| 487 | C2×C3×C4 | — | 18 | 1 | no | — |
| 488 | C2×C3×C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 489 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 490 | #67 | — | 2 | 1 | no | — |
| 491 | #67 | — | 6 | 1 | no | — |
| 492 | #67 | — | 18 | 1 | no | — |
| 493 | #67 | — | 18 | 1 | no | — |
| 494 | #67 | — | 18 | 1 | no | — |
| 495 | #67 | — | 18 | 1 | no | — |
| 496 | #67 | — | 18 | 2 | no | — |
| 497 | #67 | — | 18 | 2 | no | — |
| 498 | #67 | — | 18 | 2 | no | — |
| 499 | #67 | — | 18 | 2 | no | — |
| 500 | #67 | — | 18 | 4 | no | — |
| 501 | #67 | — | 18 | 4 | no | — |
| 502 | C2×Dic3 | — | 9 | 1 | no | — |
| 503 | C2×Dic3 | — | 9 | 1 | no | — |
| 504 | C2×Dic3 | — | 18 | 1 | no | — |
| 505 | C2×Dic3 | — | 18 | 1 | no | — |
| 506 | C2×Dic3 | — | 18 | 1 | no | — |
| 507 | D12 | — | 3 | 1 | no | — |
| 508 | D12 | — | 9 | 2 | no | — |
| 509 | D12 | — | 9 | 2 | no | — |
| 510 | D12 | — | 18 | 2 | no | — |
| 511 | D12 | — | 18 | 2 | no | — |
| 512 | D12 | — | 18 | 1 | no | — |
| 513 | D12 | — | 18 | 1 | no | — |
| 514 | D12 | — | 18 | 1 | no | — |
| 515 | D12 | — | 18 | 1 | no | — |
| 516 | D12 | C22×D9 | 1 | 1 | yes | characteristic, complemented |
| 517 | C4×D3 | — | 2 | 1 | no | — |
| 518 | C4×D3 | — | 6 | 1 | no | — |
| 519 | C4×D3 | — | 9 | 1 | no | — |
| 520 | C4×D3 | — | 9 | 1 | no | — |
| 521 | C4×D3 | — | 9 | 1 | no | — |
| 522 | C4×D3 | — | 9 | 1 | no | — |
| 523 | C4×D3 | — | 9 | 1 | no | — |
| 524 | C4×D3 | — | 9 | 1 | no | — |
| 525 | C4×D3 | — | 9 | 1 | no | — |
| 526 | C4×D3 | — | 9 | 1 | no | — |
| 527 | C4×D3 | — | 18 | 1 | no | — |
| 528 | C4×D3 | — | 18 | 1 | no | — |
| 529 | C4×D3 | — | 18 | 1 | no | — |
| 530 | C4×D3 | — | 18 | 1 | no | — |
| 531 | C4×D3 | — | 18 | 1 | no | — |
| 532 | C4×D3 | — | 18 | 1 | no | — |
| 533 | C4×D3 | — | 18 | 1 | no | — |
| 534 | C4×D3 | — | 18 | 1 | no | — |
| 535 | Dic6 | — | 3 | 1 | no | — |
| 536 | Dic6 | — | 18 | 1 | no | — |
| 537 | Dic6 | — | 18 | 1 | no | — |
| 538 | Dic6 | C22×D9 | 1 | 1 | yes | characteristic, complemented |
| 539 | C3×C8 | — | 3 | 2 | no | — |
| 540 | C3×C8 | — | 9 | 2 | no | — |
| 541 | C3⋊C8 | — | 3 | 2 | no | — |
| 542 | C3⋊C8 | C22×D9 | 1 | 2 | yes | complemented |
| 543 | C2×C32 | — | 2 | 1 | no | — |
| 544 | C2×C32 | — | 4 | 2 | no | — |
| 545 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 546 | C3⋊D3 | — | 3 | 2 | no | — |
| 547 | C3⋊D3 | — | 6 | 1 | no | — |
| 548 | C3⋊D3 | — | 12 | 2 | no | — |
| 549 | C3×D3 | — | 4 | 1 | no | — |
| 550 | C3×D3 | — | 12 | 1 | no | — |
| 551 | C2×C9 | — | 2 | 2 | no | — |
| 552 | C2×C9 | — | 2 | 1 | no | — |
| 553 | C2×C9 | — | 2 | 1 | no | — |
| 554 | C2×C9 | — | 4 | 4 | no | — |
| 555 | C2×C9 | — | 4 | 2 | no | — |
| 556 | C2×C9 | — | 12 | 1 | no | — |
| 557 | C2×C9 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 558 | D9 | — | 3 | 2 | no | — |
| 559 | D9 | — | 4 | 1 | no | — |
| 560 | D9 | — | 6 | 2 | no | — |
| 561 | D9 | — | 6 | 2 | no | — |
| 562 | D9 | — | 6 | 1 | no | — |
| 563 | D9 | — | 12 | 4 | no | — |
| 564 | D9 | — | 12 | 2 | no | — |
| 565 | C24 | — | 54 | 1 | no | — |
| 566 | #41 | — | 3 | 1 | no | — |
| 567 | #41 | — | 9 | 1 | no | — |
| 568 | #41 | — | 27 | 1 | no | — |
| 569 | #41 | — | 27 | 1 | no | — |
| 570 | #41 | — | 54 | 1 | no | — |
| 571 | #41 | — | 54 | 1 | no | — |
| 572 | C2×Q8 | — | 27 | 1 | no | — |
| 573 | C2×D4 | — | 27 | 1 | no | — |
| 574 | C2×D4 | — | 27 | 2 | no | — |
| 575 | C2×D4 | — | 27 | 2 | no | — |
| 576 | C2×D4 | — | 27 | 1 | no | — |
| 577 | C2×D4 | — | 54 | 1 | no | — |
| 578 | C2×D4 | — | 54 | 1 | no | — |
| 579 | C2×D4 | — | 54 | 1 | no | — |
| 580 | C2×D4 | — | 54 | 1 | no | — |
| 581 | C2×D4 | D3×D9 | 1 | 1 | yes | characteristic, complemented |
| 582 | C22×C4 | — | 27 | 1 | no | — |
| 583 | C22×C4 | — | 54 | 1 | no | — |
| 584 | SD16 | — | 3 | 2 | no | — |
| 585 | SD16 | — | 9 | 2 | no | — |
| 586 | SD16 | — | 27 | 2 | no | — |
| 587 | SD16 | — | 27 | 2 | no | — |
| 588 | D8 | — | 3 | 2 | no | — |
| 589 | D8 | — | 9 | 2 | no | — |
| 590 | D8 | — | 27 | 2 | no | — |
| 591 | D8 | — | 27 | 2 | no | — |
| 592 | M16 | — | 3 | 1 | no | — |
| 593 | M16 | — | 9 | 1 | no | — |
| 594 | M16 | — | 27 | 2 | no | — |
| 595 | C2×C8 | — | 27 | 2 | no | — |
| 596 | C22×C3 | — | 2 | 4 | no | — |
| 597 | C22×C3 | — | 2 | 2 | no | — |
| 598 | C22×C3 | — | 2 | 2 | no | — |
| 599 | C22×C3 | — | 2 | 1 | no | — |
| 600 | C22×C3 | — | 4 | 2 | no | — |
| 601 | C22×C3 | — | 4 | 4 | no | — |
| 602 | C22×C3 | — | 4 | 2 | no | — |
| 603 | C22×C3 | — | 6 | 1 | no | — |
| 604 | C22×C3 | — | 18 | 1 | no | — |
| 605 | C22×C3 | D4×D9 | 1 | 1 | yes | characteristic |
| 606 | C22×C3 | #3811 | 1 | 1 | yes | characteristic |
| 607 | C2×D3 | — | 2 | 1 | no | — |
| 608 | C2×D3 | — | 6 | 1 | no | — |
| 609 | C2×D3 | — | 9 | 1 | no | — |
| 610 | C2×D3 | — | 9 | 1 | no | — |
| 611 | C2×D3 | — | 9 | 1 | no | — |
| 612 | C2×D3 | — | 9 | 1 | no | — |
| 613 | C2×D3 | — | 18 | 1 | no | — |
| 614 | C2×D3 | — | 18 | 1 | no | — |
| 615 | C2×D3 | — | 18 | 2 | no | — |
| 616 | C2×D3 | — | 18 | 2 | no | — |
| 617 | C2×D3 | — | 18 | 4 | no | — |
| 618 | C2×D3 | — | 18 | 4 | no | — |
| 619 | C2×D3 | — | 18 | 2 | no | — |
| 620 | C2×D3 | — | 18 | 2 | no | — |
| 621 | C2×D3 | — | 36 | 2 | no | — |
| 622 | C2×D3 | — | 36 | 2 | no | — |
| 623 | C2×D3 | — | 36 | 4 | no | — |
| 624 | C2×D3 | — | 36 | 4 | no | — |
| 625 | C2×D3 | — | 36 | 4 | no | — |
| 626 | C2×D3 | — | 36 | 8 | no | — |
| 627 | C2×D3 | — | 36 | 8 | no | — |
| 628 | C2×D3 | — | 36 | 4 | no | — |
| 629 | C2×D3 | — | 36 | 2 | no | — |
| 630 | C2×D3 | — | 36 | 4 | no | — |
| 631 | C2×D3 | — | 36 | 2 | no | — |
| 632 | C3×C4 | — | 2 | 1 | no | — |
| 633 | C3×C4 | — | 2 | 1 | no | — |
| 634 | C3×C4 | — | 6 | 1 | no | — |
| 635 | C3×C4 | — | 18 | 1 | no | — |
| 636 | C3×C4 | D4×D9 | 1 | 1 | yes | characteristic |
| 637 | C3×C4 | C23×D9 | 1 | 1 | yes | characteristic |
| 638 | C3×C4 | #3811 | 1 | 1 | yes | characteristic |
| 639 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 640 | Dic3 | — | 2 | 1 | no | — |
| 641 | Dic3 | — | 6 | 1 | no | — |
| 642 | Dic3 | — | 9 | 1 | no | — |
| 643 | Dic3 | — | 9 | 1 | no | — |
| 644 | Dic3 | — | 9 | 1 | no | — |
| 645 | Dic3 | — | 9 | 1 | no | — |
| 646 | Dic3 | — | 18 | 1 | no | — |
| 647 | Dic3 | — | 18 | 1 | no | — |
| 648 | C32 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 649 | C9 | — | 2 | 1 | no | — |
| 650 | C9 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented |
| 651 | C23 | — | 2 | 1 | no | — |
| 652 | C23 | — | 27 | 1 | no | — |
| 653 | C23 | — | 54 | 2 | no | — |
| 654 | C23 | — | 54 | 2 | no | — |
| 655 | C23 | — | 54 | 1 | no | — |
| 656 | C23 | — | 54 | 1 | no | — |
| 657 | C23 | — | 108 | 4 | no | — |
| 658 | Q8 | — | 3 | 1 | no | — |
| 659 | Q8 | — | 9 | 1 | no | — |
| 660 | Q8 | — | 54 | 1 | no | — |
| 661 | D4 | — | 2 | 1 | no | — |
| 662 | D4 | — | 3 | 1 | no | — |
| 663 | D4 | — | 6 | 1 | no | — |
| 664 | D4 | — | 9 | 1 | no | — |
| 665 | D4 | — | 18 | 1 | no | — |
| 666 | D4 | — | 27 | 2 | no | — |
| 667 | D4 | — | 54 | 1 | no | — |
| 668 | D4 | — | 54 | 1 | no | — |
| 669 | D4 | — | 54 | 2 | no | — |
| 670 | D4 | — | 54 | 2 | no | — |
| 671 | D4 | — | 54 | 1 | no | — |
| 672 | D4 | — | 54 | 1 | no | — |
| 673 | D4 | C2×D3×D9 | 1 | 2 | yes | — |
| 674 | C2×C4 | — | 6 | 1 | no | — |
| 675 | C2×C4 | — | 18 | 1 | no | — |
| 676 | C2×C4 | — | 27 | 1 | no | — |
| 677 | C2×C4 | — | 27 | 1 | no | — |
| 678 | C2×C4 | — | 27 | 1 | no | — |
| 679 | C2×C4 | — | 27 | 1 | no | — |
| 680 | C2×C4 | — | 27 | 1 | no | — |
| 681 | C2×C4 | — | 54 | 1 | no | — |
| 682 | C2×C4 | — | 54 | 1 | no | — |
| 683 | C2×C4 | — | 54 | 1 | no | — |
| 684 | C2×C4 | C2×D3×D9 | 1 | 1 | yes | characteristic |
| 685 | C8 | — | 3 | 2 | no | — |
| 686 | C8 | — | 9 | 2 | no | — |
| 687 | C2×C3 | — | 2 | 2 | no | — |
| 688 | C2×C3 | — | 2 | 1 | no | — |
| 689 | C2×C3 | — | 2 | 1 | no | — |
| 690 | C2×C3 | — | 2 | 1 | no | — |
| 691 | C2×C3 | — | 4 | 4 | no | — |
| 692 | C2×C3 | — | 4 | 2 | no | — |
| 693 | C2×C3 | — | 4 | 2 | no | — |
| 694 | C2×C3 | — | 12 | 1 | no | — |
| 695 | C2×C3 | — | 36 | 1 | no | — |
| 696 | C2×C3 | C2×D4×D9 | 1 | 1 | yes | characteristic |
| 697 | C2×C3 | C2×#3811 | 1 | 1 | yes | characteristic |
| 698 | D3 | — | 4 | 1 | no | — |
| 699 | D3 | — | 9 | 2 | no | — |
| 700 | D3 | — | 9 | 2 | no | — |
| 701 | D3 | — | 12 | 1 | no | — |
| 702 | D3 | — | 18 | 2 | no | — |
| 703 | D3 | — | 18 | 2 | no | — |
| 704 | D3 | — | 18 | 1 | no | — |
| 705 | D3 | — | 18 | 1 | no | — |
| 706 | D3 | — | 36 | 4 | no | — |
| 707 | D3 | — | 36 | 2 | no | — |
| 708 | D3 | — | 36 | 2 | no | — |
| 709 | C22 | — | 2 | 2 | no | — |
| 710 | C22 | — | 4 | 2 | no | — |
| 711 | C22 | — | 6 | 1 | no | — |
| 712 | C22 | — | 18 | 1 | no | — |
| 713 | C22 | — | 27 | 1 | no | — |
| 714 | C22 | — | 27 | 1 | no | — |
| 715 | C22 | — | 54 | 2 | no | — |
| 716 | C22 | — | 54 | 2 | no | — |
| 717 | C22 | — | 108 | 2 | no | — |
| 718 | C22 | — | 108 | 4 | no | — |
| 719 | C22 | — | 108 | 4 | no | — |
| 720 | C22 | — | 108 | 2 | no | — |
| 721 | C22 | #88668 | 1 | 1 | yes | characteristic |
| 722 | C4 | — | 6 | 1 | no | — |
| 723 | C4 | — | 18 | 1 | no | — |
| 724 | C4 | — | 27 | 1 | no | — |
| 725 | C4 | — | 27 | 1 | no | — |
| 726 | C4 | #88668 | 1 | 1 | yes | characteristic |
| 727 | C4 | C22×D3×D9 | 1 | 1 | yes | characteristic |
| 728 | C3 | — | 2 | 1 | no | — |
| 729 | C3 | D9×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented |
| 730 | C3 | #10595100 | 1 | 1 | yes | characteristic |
| 731 | C2 | — | 2 | 1 | no | — |
| 732 | C2 | — | 4 | 2 | no | — |
| 733 | C2 | — | 12 | 1 | no | — |
| 734 | C2 | — | 27 | 2 | no | — |
| 735 | C2 | — | 36 | 1 | no | — |
| 736 | C2 | — | 54 | 1 | no | — |
| 737 | C2 | — | 108 | 2 | no | — |
| 738 | C2 | C2×#88668 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×D4×C3⋊D9 | C2 | semidirect |
| 2. #11722475 | C2 | semidirect |
| 3. C9×#932 | C2 | semidirect |
| 4. C3×#63495 | C2 | semidirect |
| 5. #11721187 | C2 | semidirect |
| 6. #11721182 | C2 | semidirect |
| 7. #11721179 | C2 | semidirect |
| 8. #11721174 | C2 | semidirect |
| 9. #11720885 | C2 | semidirect |
| 10. #11720873 | C2 | semidirect |
| 11. #11720863 | C2 | semidirect |
| 15. C2×C3×D4×C9 | C22 | semidirect |
| 20. D4×C3⋊D9 | C22 | semidirect |
| 21. C2×C4⋊(C3⋊D9) | C22 | semidirect |
| 23. C9×#235 | C22 | semidirect |
| 24. C3×#3697 | C22 | semidirect |
| 27. #88646 | C22 | semidirect |
| 30. #88639 | C22 | semidirect |
| 31. (C3⋊D9)⋊Q8 | C22 | semidirect |
| 32. #88634 | C22 | semidirect |
| 33. C9×#214 | C22 | semidirect |
| 34. C9×#213 | C22 | semidirect |
| 35. C3×#3673 | C22 | semidirect |
| 36. C3×#3672 | C22 | semidirect |
| 37. C9×#208 | C22 | semidirect |
| 38. C3×#3667 | C22 | semidirect |
| 39. #88426 | C22 | semidirect |
| 40. #88422 | C22 | semidirect |
| 41. #88417 | C22 | semidirect |
| 42. #88416 | C22 | semidirect |
| 43. #88414 | C22 | semidirect |
| 44. (C3⋊D9)⋊C8 | C22 | semidirect |
| 61. #63495 | D3 | semidirect |
| 89. C9×D12 | C23 | semidirect |
| 91. C3×D36 | C23 | semidirect |
| 93. C9×Dic6 | C23 | semidirect |
| 94. C3×Dic18 | C23 | semidirect |
| 102. C9×C3⋊C8 | C23 | semidirect |
| 103. C3×C9⋊C8 | C23 | semidirect |
| 141. C2×D4×C9 | C2×D3 | semidirect |
| 159. #3697 | C2×D3 | semidirect |
| 170. #3673 | C2×D3 | semidirect |
| 171. #3672 | C2×D3 | semidirect |
| 172. #3667 | C2×D3 | semidirect |
| 206. #932 | D9 | semidirect |
| 293. D36 | C22×D3 | semidirect |
| 306. Dic18 | C22×D3 | semidirect |
| 308. C9⋊C8 | C22×D3 | semidirect |
| 315. C3⋊D9 | AGL(1,ℤ/8) | semidirect |
| 324. C2×C3×D4 | C2×D9 | semidirect |
| 356. #235 | C2×D9 | semidirect |
| 374. #214 | C2×D9 | semidirect |
| 378. #213 | C2×D9 | semidirect |
| 380. #208 | C2×D9 | semidirect |
| 452. C3×C9 | C2×AGL(1,ℤ/8) | semidirect |
| 516. D12 | C22×D9 | semidirect |
| 538. Dic6 | C22×D9 | semidirect |
| 542. C3⋊C8 | C22×D9 | semidirect |
| 581. C2×D4 | D3×D9 | semidirect |
| 650. C9 | D3×AGL(1,ℤ/8) | semidirect |
| 729. C3 | D9×AGL(1,ℤ/8) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×C3⋊D9 | 2 |
| #11722475 | 2 |
| C9×#932 | 2 |
| C3×#63495 | 2 |
| #11721187 | 2 |
| #11721182 | 2 |
| #11721179 | 2 |
| #11721174 | 2 |
| #11720885 | 2 |
| #11720873 | 2 |
| #11720863 | 2 |
| #10595100 | 3 |
| D9×AGL(1,ℤ/8) | 3 |