Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
1620 conjugacy classes of subgroups.
The subgroup lattice has 950 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3⋊D3×#509 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11861053 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11860158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11797984 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11797978 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11797971 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C3×#71515 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11797102 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11796888 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11796829 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11795923 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | D3×AGL(1,ℤ/16) | — | 3 | 2 | no | maximal |
| 13 | C3⋊D3×#135 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×D8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 15 | #10595442 | — | 2 | 1 | no | — |
| 16 | D4×#624 | — | 2 | 1 | no | — |
| 17 | C32×#509 | C22 | 1 | 1 | yes | characteristic |
| 18 | #10592892 | C22 | 1 | 1 | yes | characteristic |
| 19 | #10592846 | C22 | 1 | 1 | yes | characteristic |
| 20 | #10592613 | C4 | 1 | 2 | yes | complemented |
| 21 | C3⋊D3×SD32 | C4 | 1 | 2 | yes | complemented |
| 22 | #10592610 | C4 | 1 | 2 | yes | complemented |
| 23 | C3⋊D3×D16 | C4 | 1 | 2 | yes | complemented |
| 24 | #10592607 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3⋊D3×M32 | C22 | 1 | 1 | yes | characteristic |
| 26 | C3×#5197 | C22 | 1 | 2 | yes | complemented |
| 27 | C3×#5152 | C22 | 1 | 2 | yes | complemented |
| 28 | #10591671 | — | 2 | 1 | no | — |
| 29 | #10591663 | — | 2 | 2 | no | — |
| 30 | #10591416 | — | 2 | 1 | no | — |
| 31 | #10591404 | — | 2 | 2 | no | — |
| 32 | #10590918 | C22 | 1 | 2 | yes | complemented |
| 33 | #10590913 | C22 | 1 | 1 | yes | characteristic |
| 34 | #10590768 | C22 | 1 | 2 | yes | complemented |
| 35 | #10590685 | C22 | 1 | 1 | yes | characteristic |
| 36 | #10590668 | C22 | 1 | 1 | yes | characteristic |
| 37 | #10590625 | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×#4566 | C22 | 1 | 2 | yes | complemented |
| 39 | C3×#4563 | C22 | 1 | 2 | yes | complemented |
| 40 | C3×#4513 | C22 | 1 | 2 | yes | complemented |
| 41 | C3×#4512 | C22 | 1 | 2 | yes | complemented |
| 42 | #10589138 | C22 | 1 | 2 | yes | complemented |
| 43 | #10589128 | C22 | 1 | 2 | yes | complemented |
| 44 | #10589125 | C22 | 1 | 2 | yes | complemented |
| 45 | #10589105 | C22 | 1 | 2 | yes | complemented |
| 46 | D3×#509 | — | 3 | 2 | no | — |
| 47 | D3×#509 | — | 6 | 1 | no | — |
| 48 | D3×#444 | — | 3 | 2 | no | — |
| 49 | D3×#442 | — | 3 | 2 | no | — |
| 50 | C3×AGL(1,ℤ/16) | — | 3 | 2 | no | — |
| 51 | #71515 | D3 | 1 | 2 | yes | complemented |
| 52 | #70929 | — | 3 | 2 | no | — |
| 53 | #70918 | — | 3 | 2 | no | — |
| 54 | D3×#365 | — | 3 | 2 | no | — |
| 55 | #69310 | — | 3 | 2 | no | — |
| 56 | D3×#361 | — | 3 | 2 | no | — |
| 57 | #69254 | — | 3 | 2 | no | — |
| 58 | D3×#360 | — | 3 | 2 | no | — |
| 59 | #69249 | — | 3 | 2 | no | — |
| 60 | #69091 | — | 3 | 2 | no | — |
| 61 | D3×#347 | — | 3 | 2 | no | — |
| 62 | #41×C3⋊D3 | — | 2 | 1 | no | — |
| 63 | C2×D4×C3⋊D3 | — | 2 | 1 | no | — |
| 64 | C22×#624 | — | 4 | 1 | no | — |
| 65 | C32×#135 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 67 | #64159 | — | 2 | 1 | no | — |
| 68 | C2×#3753 | — | 2 | 1 | no | — |
| 69 | #64128 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 70 | Q16×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 71 | #64125 | — | 2 | 1 | no | — |
| 72 | SD16×C3⋊D3 | — | 2 | 1 | no | — |
| 73 | #64121 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 74 | D8×C3⋊D3 | — | 2 | 1 | no | — |
| 75 | D8×C3⋊D3 | — | 2 | 1 | no | — |
| 76 | D8×C3⋊D3 | C2×C4 | 1 | 2 | yes | — |
| 77 | D8×C3⋊D3 | C2×C4 | 1 | 2 | yes | — |
| 78 | D8×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 79 | #64113 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×#3745 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 82 | C3×#948 | — | 2 | 2 | no | — |
| 83 | C3×D4×Dic3 | — | 2 | 2 | no | — |
| 84 | #63974 | — | 4 | 1 | no | — |
| 85 | #63952 | — | 4 | 2 | no | — |
| 86 | #63900 | — | 2 | 1 | no | — |
| 87 | #63894 | — | 2 | 2 | no | — |
| 88 | C4×#624 | D4 | 1 | 1 | yes | characteristic |
| 89 | #63818 | — | 2 | 1 | no | — |
| 90 | #63818 | — | 4 | 1 | no | — |
| 91 | #63817 | — | 2 | 2 | no | — |
| 92 | #63817 | — | 4 | 2 | no | — |
| 93 | C2×#3710 | — | 4 | 1 | no | — |
| 94 | C2×#3710 | D4 | 1 | 1 | yes | characteristic |
| 95 | C32×SD32 | C2×C4 | 1 | 2 | yes | complemented |
| 96 | C32×D16 | C2×C4 | 1 | 2 | yes | complemented |
| 97 | C32×M32 | C23 | 1 | 1 | yes | characteristic |
| 98 | #63655 | C2×C4 | 1 | 2 | yes | complemented |
| 99 | #63654 | C2×C4 | 1 | 2 | yes | complemented |
| 100 | #63653 | C2×C4 | 1 | 2 | yes | complemented |
| 101 | #63653 | C2×C4 | 1 | 2 | yes | complemented |
| 102 | #63639 | C23 | 1 | 1 | yes | characteristic |
| 103 | #63627 | C2×C4 | 1 | 2 | yes | complemented |
| 104 | #63626 | C2×C4 | 1 | 2 | yes | complemented |
| 105 | #63625 | C2×C4 | 1 | 2 | yes | complemented |
| 106 | C16×C3⋊D3 | C2×C4 | 1 | 2 | yes | complemented |
| 107 | C3×#837 | — | 2 | 2 | no | — |
| 108 | C3×#832 | — | 2 | 2 | no | — |
| 109 | C3×#819 | C23 | 1 | 2 | yes | — |
| 110 | C3×#817 | C23 | 1 | 2 | yes | — |
| 111 | C3×#815 | C23 | 1 | 2 | yes | — |
| 112 | C3×#812 | C23 | 1 | 2 | yes | — |
| 113 | #63578 | — | 2 | 1 | no | — |
| 114 | #63574 | — | 2 | 1 | no | — |
| 115 | #63570 | — | 2 | 2 | no | — |
| 116 | #63564 | — | 2 | 2 | no | — |
| 117 | #63554 | D4 | 1 | 2 | yes | — |
| 118 | #63544 | — | 2 | 1 | no | — |
| 119 | #63542 | — | 2 | 1 | no | — |
| 120 | C2×AGL(1,ℤ/16) | — | 9 | 1 | no | Sylow |
| 121 | D3×#135 | — | 3 | 2 | no | — |
| 122 | D3×#135 | — | 6 | 1 | no | — |
| 123 | C2×D3×D8 | — | 3 | 2 | no | — |
| 124 | C2×D3×D8 | — | 6 | 1 | no | — |
| 125 | D3×#131 | — | 6 | 2 | no | — |
| 126 | C4×D3×D4 | — | 6 | 2 | no | — |
| 127 | C3×#509 | — | 2 | 1 | no | — |
| 128 | C3×#509 | C2×D3 | 1 | 2 | yes | — |
| 129 | C3×#444 | — | 3 | 2 | no | — |
| 130 | C3×#442 | — | 3 | 2 | no | — |
| 131 | #5197 | C2×D3 | 1 | 2 | yes | complemented |
| 132 | #5193 | — | 3 | 2 | no | — |
| 133 | #5193 | — | 6 | 1 | no | — |
| 134 | #5152 | C2×D3 | 1 | 2 | yes | complemented |
| 135 | #5147 | — | 3 | 2 | no | — |
| 136 | #5147 | — | 6 | 1 | no | — |
| 137 | #5145 | — | 6 | 2 | no | — |
| 138 | #5014 | — | 6 | 2 | no | — |
| 139 | #4914 | — | 3 | 4 | no | — |
| 140 | #4914 | — | 6 | 2 | no | — |
| 141 | D3×SD32 | — | 3 | 4 | no | — |
| 142 | D3×SD32 | — | 6 | 2 | no | — |
| 143 | #4911 | — | 3 | 4 | no | — |
| 144 | #4911 | — | 6 | 2 | no | — |
| 145 | D3×D16 | — | 3 | 4 | no | — |
| 146 | D3×D16 | — | 6 | 2 | no | — |
| 147 | #4908 | — | 3 | 2 | no | — |
| 148 | #4908 | — | 6 | 1 | no | — |
| 149 | D3×M32 | — | 3 | 2 | no | — |
| 150 | D3×M32 | — | 3 | 2 | no | — |
| 151 | D3×M32 | — | 6 | 1 | no | — |
| 152 | #4894 | — | 3 | 2 | no | — |
| 153 | D3×#108 | — | 3 | 2 | no | — |
| 154 | #4869 | — | 3 | 2 | no | — |
| 155 | D3×#106 | — | 3 | 2 | no | — |
| 156 | #4823 | — | 6 | 2 | no | — |
| 157 | D3×#104 | — | 6 | 2 | no | — |
| 158 | #4785 | — | 6 | 2 | no | — |
| 159 | D3×#102 | — | 6 | 2 | no | — |
| 160 | #4717 | — | 3 | 2 | no | — |
| 161 | #4711 | — | 3 | 2 | no | — |
| 162 | D3×#97 | — | 3 | 2 | no | — |
| 163 | C3×#365 | — | 3 | 2 | no | — |
| 164 | C3×#361 | — | 3 | 2 | no | — |
| 165 | C3×#360 | — | 3 | 2 | no | — |
| 166 | C3×#347 | — | 3 | 2 | no | — |
| 167 | #4566 | C2×D3 | 1 | 2 | yes | complemented |
| 168 | #4563 | C2×D3 | 1 | 2 | yes | complemented |
| 169 | #4518 | — | 3 | 2 | no | — |
| 170 | #4516 | — | 3 | 2 | no | — |
| 171 | #4513 | C2×D3 | 1 | 2 | yes | complemented |
| 172 | #4512 | — | 3 | 2 | no | — |
| 173 | #4512 | C2×D3 | 1 | 2 | yes | complemented |
| 174 | #4495 | — | 3 | 2 | no | — |
| 175 | #4494 | — | 3 | 2 | no | — |
| 176 | #4488 | — | 3 | 2 | no | — |
| 177 | #4487 | — | 3 | 2 | no | — |
| 178 | #4466 | — | 3 | 2 | no | — |
| 179 | C23×C3⋊D3 | — | 4 | 1 | no | — |
| 180 | C32×#41 | — | 2 | 1 | no | — |
| 181 | C2×C32×D4 | — | 2 | 1 | no | — |
| 182 | C2×#638 | — | 4 | 1 | no | — |
| 183 | #3832 | — | 2 | 1 | no | — |
| 184 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 185 | #3830 | — | 2 | 1 | no | — |
| 186 | #3830 | — | 4 | 1 | no | — |
| 187 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 188 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 189 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 190 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 191 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 192 | D4×C3⋊D3 | — | 4 | 1 | no | — |
| 193 | #3828 | — | 2 | 1 | no | — |
| 194 | #3828 | — | 4 | 1 | no | — |
| 195 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 196 | C2×C4×C3⋊D3 | — | 4 | 1 | no | — |
| 197 | C2×C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C22×C3×Dic3 | — | 4 | 2 | no | — |
| 199 | C2×#624 | — | 2 | 1 | no | — |
| 200 | C2×#624 | — | 4 | 2 | no | — |
| 201 | C2×#624 | — | 4 | 1 | no | — |
| 202 | C2×#624 | — | 8 | 4 | no | — |
| 203 | C32×Q16 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 204 | C32×SD16 | — | 2 | 1 | no | — |
| 205 | C32×D8 | — | 2 | 1 | no | — |
| 206 | C32×D8 | C22×C4 | 1 | 2 | yes | — |
| 207 | C32×D8 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 208 | C2×C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 209 | #3756 | — | 2 | 1 | no | — |
| 210 | #3755 | — | 2 | 1 | no | — |
| 211 | #3754 | — | 2 | 1 | no | — |
| 212 | #3753 | — | 2 | 2 | no | — |
| 213 | #3753 | — | 2 | 2 | no | — |
| 214 | #3753 | — | 2 | 1 | no | — |
| 215 | C2×C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | #3746 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 217 | #3745 | — | 2 | 1 | no | — |
| 218 | #3745 | C22×C4 | 1 | 2 | yes | — |
| 219 | #3745 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 220 | #3744 | — | 2 | 1 | no | — |
| 221 | C8×C3⋊D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 222 | C8×C3⋊D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 223 | C8×C3⋊D3 | #41 | 1 | 1 | yes | characteristic |
| 224 | C8×C3⋊D3 | #41 | 1 | 1 | yes | characteristic |
| 225 | C3×#217 | — | 4 | 2 | no | — |
| 226 | C3×C4⋊Dic3 | — | 2 | 2 | no | — |
| 227 | C3×C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 228 | C3×#208 | — | 2 | 2 | no | — |
| 229 | C3×#208 | — | 4 | 2 | no | — |
| 230 | C2×C3×C3⋊C8 | — | 4 | 2 | no | — |
| 231 | C2×C3×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 232 | #3724 | — | 4 | 1 | no | — |
| 233 | #3722 | — | 4 | 2 | no | — |
| 234 | Dic32 | — | 2 | 1 | no | — |
| 235 | #3712 | — | 4 | 2 | no | — |
| 236 | #3712 | — | 4 | 1 | no | — |
| 237 | #3710 | — | 2 | 1 | no | — |
| 238 | #3710 | — | 2 | 1 | no | — |
| 239 | #3710 | — | 4 | 2 | no | — |
| 240 | #3710 | — | 4 | 1 | no | — |
| 241 | C32×C16 | C22×C4 | 1 | 2 | yes | complemented |
| 242 | C3⋊(C3⋊C16) | C22×C4 | 1 | 2 | yes | complemented |
| 243 | C3×C3⋊C16 | — | 2 | 2 | no | — |
| 244 | C2×#509 | — | 9 | 1 | no | — |
| 245 | C2×#444 | — | 9 | 1 | no | — |
| 246 | C2×#442 | — | 9 | 1 | no | — |
| 247 | AGL(1,ℤ/16) | — | 3 | 2 | no | — |
| 248 | AGL(1,ℤ/16) | — | 9 | 2 | no | — |
| 249 | AGL(1,ℤ/16) | — | 9 | 2 | no | — |
| 250 | AGL(1,ℤ/16) | — | 9 | 2 | no | — |
| 251 | C2×#365 | — | 9 | 1 | no | — |
| 252 | C2×#361 | — | 9 | 1 | no | — |
| 253 | C2×#360 | — | 9 | 1 | no | — |
| 254 | C2×#347 | — | 9 | 1 | no | — |
| 255 | D3×#41 | — | 6 | 2 | no | — |
| 256 | D3×#41 | — | 12 | 1 | no | — |
| 257 | C2×D3×D4 | — | 6 | 2 | no | — |
| 258 | C2×D3×D4 | — | 12 | 1 | no | — |
| 259 | C22×C4×D3 | — | 12 | 2 | no | — |
| 260 | C3×#135 | — | 2 | 1 | no | — |
| 261 | C3×#135 | C22×D3 | 1 | 2 | yes | — |
| 262 | C2×C3×D8 | — | 2 | 1 | no | — |
| 263 | C2×C3×D8 | C22×D3 | 1 | 2 | yes | — |
| 264 | C3×#131 | — | 6 | 2 | no | — |
| 265 | C3×C4×D4 | — | 6 | 2 | no | — |
| 266 | #950 | — | 6 | 2 | no | — |
| 267 | #950 | — | 12 | 1 | no | — |
| 268 | #948 | — | 2 | 2 | no | — |
| 269 | D4×Dic3 | — | 2 | 2 | no | — |
| 270 | C2×#213 | — | 6 | 2 | no | — |
| 271 | C2×#213 | — | 12 | 1 | no | — |
| 272 | C4×#67 | — | 12 | 2 | no | — |
| 273 | #919 | — | 3 | 2 | no | — |
| 274 | #919 | — | 6 | 1 | no | — |
| 275 | D3×Q16 | — | 3 | 2 | no | — |
| 276 | D3×Q16 | — | 6 | 1 | no | — |
| 277 | #916 | — | 6 | 2 | no | — |
| 278 | #916 | — | 12 | 1 | no | — |
| 279 | D3×SD16 | — | 6 | 2 | no | — |
| 280 | D3×SD16 | — | 12 | 1 | no | — |
| 281 | #912 | — | 3 | 2 | no | — |
| 282 | #912 | — | 6 | 1 | no | — |
| 283 | D3×D8 | — | 3 | 4 | no | — |
| 284 | D3×D8 | — | 3 | 4 | no | — |
| 285 | D3×D8 | — | 3 | 2 | no | — |
| 286 | D3×D8 | — | 6 | 1 | no | — |
| 287 | D3×D8 | — | 6 | 2 | no | — |
| 288 | D3×D8 | — | 6 | 2 | no | — |
| 289 | D3×D8 | — | 6 | 2 | no | — |
| 290 | D3×D8 | — | 6 | 2 | no | — |
| 291 | D3×D8 | — | 12 | 1 | no | — |
| 292 | D3×D8 | — | 12 | 1 | no | — |
| 293 | #907 | — | 6 | 2 | no | — |
| 294 | #907 | — | 12 | 2 | no | — |
| 295 | D3×M16 | — | 6 | 2 | no | — |
| 296 | D3×M16 | — | 12 | 2 | no | — |
| 297 | #904 | — | 3 | 2 | no | — |
| 298 | #904 | — | 6 | 1 | no | — |
| 299 | C2×D24 | — | 3 | 2 | no | — |
| 300 | C2×D24 | — | 6 | 1 | no | — |
| 301 | #901 | — | 6 | 2 | no | — |
| 302 | #901 | — | 12 | 2 | no | — |
| 303 | C2×D3×C8 | — | 3 | 2 | no | — |
| 304 | C2×D3×C8 | — | 3 | 2 | no | — |
| 305 | C2×D3×C8 | — | 6 | 1 | no | — |
| 306 | C2×D3×C8 | — | 12 | 2 | no | — |
| 307 | #893 | — | 6 | 2 | no | — |
| 308 | D3×C4⋊C4 | — | 6 | 2 | no | — |
| 309 | #67⋊C4 | — | 12 | 2 | no | — |
| 310 | D3×C22⋊C4 | — | 12 | 2 | no | — |
| 311 | C4×D12 | — | 6 | 2 | no | — |
| 312 | C42×D3 | — | 3 | 2 | no | — |
| 313 | C3×SD32 | — | 2 | 2 | no | — |
| 314 | C3×SD32 | C4×D3 | 1 | 4 | yes | complemented |
| 315 | C3×D16 | — | 2 | 2 | no | — |
| 316 | C3×D16 | C4×D3 | 1 | 4 | yes | complemented |
| 317 | C3×M32 | — | 2 | 1 | no | — |
| 318 | C3×M32 | — | 3 | 2 | no | — |
| 319 | C3×M32 | C22×D3 | 1 | 2 | yes | — |
| 320 | C3×#108 | — | 3 | 2 | no | — |
| 321 | C3×#106 | — | 3 | 2 | no | — |
| 322 | C3×#104 | — | 6 | 2 | no | — |
| 323 | C3×#102 | — | 6 | 2 | no | — |
| 324 | C3×#97 | — | 3 | 2 | no | — |
| 325 | #837 | — | 2 | 2 | no | — |
| 326 | #832 | — | 2 | 2 | no | — |
| 327 | #828 | — | 3 | 4 | no | — |
| 328 | #828 | — | 6 | 2 | no | — |
| 329 | #827 | — | 3 | 4 | no | — |
| 330 | #827 | — | 6 | 2 | no | — |
| 331 | #826 | — | 3 | 4 | no | — |
| 332 | #826 | — | 3 | 4 | no | — |
| 333 | #826 | — | 6 | 2 | no | — |
| 334 | #826 | — | 6 | 2 | no | — |
| 335 | #825 | — | 6 | 2 | no | — |
| 336 | #822 | — | 6 | 2 | no | — |
| 337 | #821 | — | 6 | 2 | no | — |
| 338 | #819 | C22×D3 | 1 | 2 | yes | — |
| 339 | #817 | C22×D3 | 1 | 2 | yes | — |
| 340 | #815 | — | 3 | 2 | no | — |
| 341 | #815 | C22×D3 | 1 | 2 | yes | — |
| 342 | #812 | — | 3 | 2 | no | — |
| 343 | #812 | — | 6 | 1 | no | — |
| 344 | #812 | C22×D3 | 1 | 2 | yes | — |
| 345 | #809 | — | 6 | 2 | no | — |
| 346 | #808 | — | 6 | 2 | no | — |
| 347 | #805 | — | 6 | 2 | no | — |
| 348 | #803 | — | 3 | 2 | no | — |
| 349 | #800 | — | 3 | 4 | no | — |
| 350 | #800 | — | 6 | 2 | no | — |
| 351 | D48 | — | 3 | 4 | no | — |
| 352 | D48 | — | 6 | 2 | no | — |
| 353 | #798 | — | 3 | 4 | no | — |
| 354 | #798 | — | 6 | 2 | no | — |
| 355 | #798 | — | 6 | 2 | no | — |
| 356 | D3×C16 | — | 3 | 4 | no | — |
| 357 | D3×C16 | — | 6 | 2 | no | — |
| 358 | D3×C16 | — | 6 | 2 | no | — |
| 359 | C23×C32 | — | 4 | 1 | no | — |
| 360 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 361 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 362 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 363 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 364 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 365 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 366 | C22×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 367 | C32×Q8 | — | 2 | 1 | no | — |
| 368 | C32×D4 | — | 2 | 2 | no | — |
| 369 | C32×D4 | — | 2 | 1 | no | — |
| 370 | C32×D4 | — | 4 | 1 | no | — |
| 371 | C32×D4 | — | 4 | 1 | no | — |
| 372 | C2×C32×C4 | — | 4 | 1 | no | — |
| 373 | C2×C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 374 | #638 | — | 4 | 1 | no | — |
| 375 | #638 | — | 4 | 1 | no | — |
| 376 | #638 | — | 4 | 1 | no | — |
| 377 | #638 | — | 4 | 2 | no | — |
| 378 | #638 | — | 4 | 2 | no | — |
| 379 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 380 | C2×C3⋊Dic3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 381 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 382 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 383 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 384 | C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 385 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 386 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 387 | C4×C3⋊D3 | — | 4 | 1 | no | — |
| 388 | C4×C3⋊D3 | C4×D4 | 1 | 1 | yes | characteristic |
| 389 | C4×C3⋊D3 | C4×D4 | 1 | 1 | yes | characteristic |
| 390 | C4×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 391 | C4×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 392 | #634 | — | 2 | 1 | no | — |
| 393 | #634 | — | 4 | 1 | no | — |
| 394 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 395 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 396 | C2×C3×Dic3 | — | 8 | 4 | no | — |
| 397 | #624 | — | 4 | 2 | no | — |
| 398 | #624 | — | 8 | 4 | no | — |
| 399 | #624 | — | 8 | 2 | no | — |
| 400 | C32×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 401 | C32×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 402 | C3⋊(C3⋊C8) | C4×D4 | 1 | 1 | yes | characteristic |
| 403 | C3⋊(C3⋊C8) | C4×D4 | 1 | 1 | yes | characteristic |
| 404 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 405 | C3×C3⋊C8 | — | 4 | 2 | no | — |
| 406 | C2×#135 | — | 9 | 1 | no | — |
| 407 | C22×D8 | — | 9 | 1 | no | — |
| 408 | C2×#131 | — | 18 | 1 | no | — |
| 409 | C2×C4×D4 | — | 18 | 1 | no | — |
| 410 | #509 | — | 9 | 1 | no | — |
| 411 | #509 | — | 9 | 1 | no | — |
| 412 | #509 | — | 9 | 2 | no | — |
| 413 | #509 | — | 9 | 2 | no | — |
| 414 | #509 | — | 9 | 1 | no | — |
| 415 | #509 | D32 | 1 | 1 | yes | characteristic |
| 416 | C2×SD32 | — | 9 | 2 | no | — |
| 417 | C2×D16 | — | 9 | 2 | no | — |
| 418 | C2×M32 | — | 9 | 1 | no | — |
| 419 | C2×M32 | — | 9 | 1 | no | — |
| 420 | #444 | — | 3 | 2 | no | — |
| 421 | #444 | — | 9 | 2 | no | — |
| 422 | #444 | — | 18 | 2 | no | — |
| 423 | #442 | — | 3 | 2 | no | — |
| 424 | #442 | — | 9 | 2 | no | — |
| 425 | #442 | — | 18 | 2 | no | — |
| 426 | C2×#108 | — | 9 | 1 | no | — |
| 427 | C2×#106 | — | 9 | 1 | no | — |
| 428 | C2×#104 | — | 18 | 1 | no | — |
| 429 | C2×#102 | — | 18 | 1 | no | — |
| 430 | C2×#97 | — | 9 | 1 | no | — |
| 431 | #365 | — | 3 | 2 | no | — |
| 432 | #365 | — | 9 | 2 | no | — |
| 433 | #361 | — | 3 | 2 | no | — |
| 434 | #361 | — | 9 | 2 | no | — |
| 435 | #360 | — | 3 | 2 | no | — |
| 436 | #360 | — | 9 | 2 | no | — |
| 437 | #347 | — | 3 | 2 | no | — |
| 438 | #347 | — | 9 | 2 | no | — |
| 439 | C23×D3 | — | 12 | 2 | no | — |
| 440 | C23×D3 | — | 24 | 1 | no | — |
| 441 | C3×#41 | — | 2 | 2 | no | — |
| 442 | C3×#41 | — | 4 | 1 | no | — |
| 443 | C2×C3×D4 | — | 2 | 2 | no | — |
| 444 | C2×C3×D4 | — | 4 | 1 | no | — |
| 445 | C22×C3×C4 | — | 12 | 2 | no | — |
| 446 | C2×#67 | — | 12 | 2 | no | — |
| 447 | C2×#67 | — | 24 | 1 | no | — |
| 448 | C22×Dic3 | — | 4 | 2 | no | — |
| 449 | #239 | — | 6 | 2 | no | — |
| 450 | #239 | — | 12 | 1 | no | — |
| 451 | D3×Q8 | — | 6 | 2 | no | — |
| 452 | D3×Q8 | — | 12 | 1 | no | — |
| 453 | #237 | — | 6 | 2 | no | — |
| 454 | #237 | — | 12 | 1 | no | — |
| 455 | #237 | — | 12 | 2 | no | — |
| 456 | #237 | — | 24 | 1 | no | — |
| 457 | D3×D4 | — | 6 | 4 | no | — |
| 458 | D3×D4 | — | 6 | 4 | no | — |
| 459 | D3×D4 | — | 6 | 2 | no | — |
| 460 | D3×D4 | — | 12 | 2 | no | — |
| 461 | D3×D4 | — | 12 | 2 | no | — |
| 462 | D3×D4 | — | 12 | 1 | no | — |
| 463 | D3×D4 | — | 12 | 2 | no | — |
| 464 | D3×D4 | — | 12 | 2 | no | — |
| 465 | D3×D4 | — | 12 | 2 | no | — |
| 466 | D3×D4 | — | 24 | 1 | no | — |
| 467 | D3×D4 | — | 24 | 1 | no | — |
| 468 | D3×D4 | — | 24 | 1 | no | — |
| 469 | #235 | — | 6 | 2 | no | — |
| 470 | #235 | — | 12 | 1 | no | — |
| 471 | #235 | — | 12 | 2 | no | — |
| 472 | #235 | — | 24 | 1 | no | — |
| 473 | C2×D12 | — | 6 | 2 | no | — |
| 474 | C2×D12 | — | 12 | 1 | no | — |
| 475 | C2×C4×D3 | — | 3 | 2 | no | — |
| 476 | C2×C4×D3 | — | 6 | 1 | no | — |
| 477 | C2×C4×D3 | — | 6 | 2 | no | — |
| 478 | C2×C4×D3 | — | 12 | 2 | no | — |
| 479 | C2×C4×D3 | — | 12 | 2 | no | — |
| 480 | C2×C4×D3 | — | 12 | 2 | no | — |
| 481 | C2×C4×D3 | — | 12 | 2 | no | — |
| 482 | C2×C4×D3 | — | 24 | 1 | no | — |
| 483 | C2×C4×D3 | — | 24 | 8 | no | — |
| 484 | C3×Q16 | — | 2 | 1 | no | — |
| 485 | C3×Q16 | C2×C4×D3 | 1 | 2 | yes | complemented |
| 486 | C3×SD16 | — | 2 | 2 | no | — |
| 487 | C3×SD16 | — | 4 | 1 | no | — |
| 488 | C3×D8 | — | 2 | 2 | no | — |
| 489 | C3×D8 | — | 2 | 2 | no | — |
| 490 | C3×D8 | — | 2 | 1 | no | — |
| 491 | C3×D8 | — | 4 | 1 | no | — |
| 492 | C3×D8 | C2×C4×D3 | 1 | 4 | yes | — |
| 493 | C3×D8 | C2×C4×D3 | 1 | 2 | yes | complemented |
| 494 | C3×M16 | — | 6 | 2 | no | — |
| 495 | C3×M16 | — | 12 | 2 | no | — |
| 496 | C2×C3×C8 | — | 2 | 1 | no | — |
| 497 | C2×C3×C8 | — | 3 | 2 | no | — |
| 498 | C2×C3×C8 | — | 12 | 2 | no | — |
| 499 | C2×C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 500 | C3×C4⋊C4 | — | 6 | 2 | no | — |
| 501 | C3×C22⋊C4 | — | 12 | 2 | no | — |
| 502 | C3×C42 | — | 3 | 2 | no | — |
| 503 | #217 | — | 4 | 2 | no | — |
| 504 | #216 | — | 6 | 2 | no | — |
| 505 | #216 | — | 12 | 1 | no | — |
| 506 | #215 | — | 6 | 2 | no | — |
| 507 | #215 | — | 12 | 1 | no | — |
| 508 | #214 | — | 6 | 2 | no | — |
| 509 | #214 | — | 12 | 1 | no | — |
| 510 | #213 | — | 6 | 4 | no | — |
| 511 | #213 | — | 6 | 4 | no | — |
| 512 | #213 | — | 6 | 2 | no | — |
| 513 | #213 | — | 12 | 2 | no | — |
| 514 | #213 | — | 12 | 2 | no | — |
| 515 | #213 | — | 12 | 1 | no | — |
| 516 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 517 | (C2×D3)⋊C4 | — | 12 | 2 | no | — |
| 518 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 519 | Dic3⋊C4 | — | 12 | 2 | no | — |
| 520 | C4×Dic3 | — | 6 | 2 | no | — |
| 521 | C4×Dic3 | D3×D4 | 1 | 2 | yes | — |
| 522 | #208 | — | 2 | 2 | no | — |
| 523 | #208 | — | 4 | 2 | no | — |
| 524 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 525 | C2×C3⋊C8 | — | 4 | 2 | no | — |
| 526 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 527 | C2×C3⋊C8 | D3×D4 | 1 | 2 | yes | — |
| 528 | Dic12 | — | 3 | 2 | no | — |
| 529 | Dic12 | — | 6 | 1 | no | — |
| 530 | D24 | — | 3 | 2 | no | — |
| 531 | D24 | — | 3 | 4 | no | — |
| 532 | D24 | — | 6 | 1 | no | — |
| 533 | D24 | — | 6 | 2 | no | — |
| 534 | D24 | — | 6 | 2 | no | — |
| 535 | D24 | — | 12 | 1 | no | — |
| 536 | #204 | — | 6 | 2 | no | — |
| 537 | #204 | — | 12 | 1 | no | — |
| 538 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 539 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 540 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 541 | D3×C8 | — | 3 | 2 | no | — |
| 542 | D3×C8 | — | 3 | 2 | no | — |
| 543 | D3×C8 | — | 3 | 2 | no | — |
| 544 | D3×C8 | — | 3 | 2 | no | — |
| 545 | D3×C8 | — | 6 | 1 | no | — |
| 546 | D3×C8 | — | 6 | 1 | no | — |
| 547 | D3×C8 | — | 6 | 1 | no | — |
| 548 | D3×C8 | — | 6 | 1 | no | — |
| 549 | D3×C8 | — | 6 | 2 | no | — |
| 550 | D3×C8 | — | 6 | 2 | no | — |
| 551 | D3×C8 | — | 12 | 2 | no | — |
| 552 | D3×C8 | — | 12 | 2 | no | — |
| 553 | D3×C8 | — | 12 | 2 | no | — |
| 554 | C3×C16 | — | 2 | 2 | no | — |
| 555 | C3×C16 | — | 6 | 2 | no | — |
| 556 | C3×C16 | C2×C4×D3 | 1 | 4 | yes | complemented |
| 557 | C3⋊C16 | — | 2 | 2 | no | — |
| 558 | C3⋊C16 | — | 3 | 4 | no | — |
| 559 | C3⋊C16 | — | 6 | 2 | no | — |
| 560 | C22×C32 | — | 4 | 1 | no | — |
| 561 | C22×C32 | — | 4 | 2 | no | — |
| 562 | C22×C32 | — | 8 | 1 | no | — |
| 563 | C22×C32 | — | 8 | 1 | no | — |
| 564 | C22×C32 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 565 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 566 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 567 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 568 | C2×C3⋊D3 | — | 8 | 4 | no | — |
| 569 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 570 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 571 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 572 | C2×C3⋊D3 | — | 8 | 4 | no | — |
| 573 | C2×C3⋊D3 | #442 | 1 | 1 | yes | characteristic |
| 574 | C2×C3⋊D3 | #442 | 1 | 1 | yes | characteristic |
| 575 | C32×C4 | — | 4 | 1 | no | — |
| 576 | C32×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 577 | C32×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 578 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 579 | C3⋊Dic3 | #442 | 1 | 1 | yes | characteristic |
| 580 | C3⋊Dic3 | #442 | 1 | 1 | yes | characteristic |
| 581 | C3×Dic3 | — | 4 | 2 | no | — |
| 582 | C3×Dic3 | — | 8 | 2 | no | — |
| 583 | C2×#41 | — | 18 | 1 | no | — |
| 584 | C22×D4 | — | 18 | 1 | no | — |
| 585 | C23×C4 | — | 36 | 1 | no | — |
| 586 | #135 | — | 9 | 1 | no | — |
| 587 | #135 | — | 9 | 1 | no | — |
| 588 | #135 | — | 9 | 1 | no | — |
| 589 | #135 | — | 18 | 1 | no | — |
| 590 | #135 | — | 18 | 1 | no | — |
| 591 | #135 | C2×D32 | 1 | 1 | yes | characteristic |
| 592 | C2×Q16 | — | 9 | 1 | no | — |
| 593 | C2×SD16 | — | 18 | 1 | no | — |
| 594 | C2×D8 | — | 9 | 2 | no | — |
| 595 | C2×D8 | — | 9 | 2 | no | — |
| 596 | C2×D8 | — | 9 | 1 | no | — |
| 597 | C2×D8 | — | 9 | 1 | no | — |
| 598 | C2×D8 | — | 18 | 1 | no | — |
| 599 | C2×D8 | — | 18 | 1 | no | — |
| 600 | C2×D8 | — | 18 | 1 | no | — |
| 601 | C2×D8 | C2×D32 | 1 | 1 | yes | characteristic |
| 602 | #131 | — | 6 | 2 | no | — |
| 603 | #131 | — | 18 | 2 | no | — |
| 604 | #131 | — | 36 | 2 | no | — |
| 605 | C2×M16 | — | 18 | 1 | no | — |
| 606 | C2×M16 | — | 36 | 1 | no | — |
| 607 | C22×C8 | — | 9 | 1 | no | — |
| 608 | C22×C8 | — | 9 | 1 | no | — |
| 609 | C22×C8 | — | 36 | 1 | no | — |
| 610 | C4×D4 | — | 6 | 2 | no | — |
| 611 | C4×D4 | — | 18 | 2 | no | — |
| 612 | C4×D4 | — | 36 | 2 | no | — |
| 613 | C2×C4⋊C4 | — | 18 | 1 | no | — |
| 614 | C2×C22⋊C4 | — | 36 | 1 | no | — |
| 615 | C2×C42 | — | 9 | 1 | no | — |
| 616 | SD32 | — | 9 | 2 | no | — |
| 617 | SD32 | — | 9 | 2 | no | — |
| 618 | SD32 | — | 9 | 2 | no | — |
| 619 | SD32 | #624 | 1 | 2 | yes | complemented |
| 620 | D16 | — | 9 | 2 | no | — |
| 621 | D16 | — | 9 | 2 | no | — |
| 622 | D16 | — | 9 | 2 | no | — |
| 623 | D16 | #624 | 1 | 2 | yes | complemented |
| 624 | M32 | — | 3 | 2 | no | — |
| 625 | M32 | — | 9 | 1 | no | — |
| 626 | M32 | — | 9 | 2 | no | — |
| 627 | M32 | — | 18 | 1 | no | — |
| 628 | M32 | C2×D32 | 1 | 1 | yes | characteristic |
| 629 | C2×C16 | — | 9 | 2 | no | — |
| 630 | C2×C16 | — | 18 | 1 | no | — |
| 631 | #108 | — | 3 | 2 | no | — |
| 632 | #108 | — | 18 | 1 | no | — |
| 633 | #106 | — | 3 | 2 | no | — |
| 634 | #106 | — | 18 | 1 | no | — |
| 635 | #104 | — | 6 | 2 | no | — |
| 636 | #104 | — | 18 | 2 | no | — |
| 637 | #102 | — | 6 | 2 | no | — |
| 638 | #102 | — | 18 | 2 | no | — |
| 639 | #97 | — | 3 | 2 | no | — |
| 640 | #97 | — | 9 | 2 | no | — |
| 641 | C23×C3 | — | 4 | 2 | no | — |
| 642 | C23×C3 | — | 8 | 1 | no | — |
| 643 | C22×D3 | — | 3 | 2 | no | — |
| 644 | C22×D3 | — | 6 | 1 | no | — |
| 645 | C22×D3 | — | 12 | 2 | no | — |
| 646 | C22×D3 | — | 12 | 4 | no | — |
| 647 | C22×D3 | — | 12 | 4 | no | — |
| 648 | C22×D3 | — | 12 | 2 | no | — |
| 649 | C22×D3 | — | 24 | 1 | no | — |
| 650 | C22×D3 | — | 24 | 2 | no | — |
| 651 | C22×D3 | — | 24 | 2 | no | — |
| 652 | C22×D3 | — | 24 | 1 | no | — |
| 653 | C22×D3 | — | 24 | 4 | no | — |
| 654 | C22×D3 | — | 24 | 4 | no | — |
| 655 | C22×D3 | — | 48 | 2 | no | — |
| 656 | C22×D3 | — | 48 | 2 | no | — |
| 657 | C3×Q8 | — | 2 | 2 | no | — |
| 658 | C3×Q8 | — | 4 | 1 | no | — |
| 659 | C3×D4 | — | 2 | 4 | no | — |
| 660 | C3×D4 | — | 2 | 2 | no | — |
| 661 | C3×D4 | — | 4 | 2 | no | — |
| 662 | C3×D4 | — | 4 | 1 | no | — |
| 663 | C3×D4 | — | 4 | 2 | no | — |
| 664 | C3×D4 | — | 4 | 2 | no | — |
| 665 | C3×D4 | — | 8 | 1 | no | — |
| 666 | C3×D4 | — | 8 | 1 | no | — |
| 667 | C2×C3×C4 | — | 2 | 1 | no | — |
| 668 | C2×C3×C4 | — | 4 | 2 | no | — |
| 669 | C2×C3×C4 | — | 6 | 2 | no | — |
| 670 | C2×C3×C4 | — | 8 | 1 | no | — |
| 671 | C2×C3×C4 | — | 12 | 2 | no | — |
| 672 | C2×C3×C4 | — | 24 | 4 | no | — |
| 673 | C2×C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 674 | #67 | — | 12 | 2 | no | — |
| 675 | #67 | — | 12 | 4 | no | — |
| 676 | #67 | — | 12 | 4 | no | — |
| 677 | #67 | — | 12 | 2 | no | — |
| 678 | #67 | — | 12 | 2 | no | — |
| 679 | #67 | — | 24 | 1 | no | — |
| 680 | #67 | — | 24 | 2 | no | — |
| 681 | #67 | — | 24 | 2 | no | — |
| 682 | #67 | — | 24 | 1 | no | — |
| 683 | #67 | — | 24 | 1 | no | — |
| 684 | C2×Dic3 | — | 2 | 2 | no | — |
| 685 | C2×Dic3 | — | 3 | 2 | no | — |
| 686 | C2×Dic3 | — | 4 | 2 | no | — |
| 687 | C2×Dic3 | — | 6 | 1 | no | — |
| 688 | C2×Dic3 | — | 8 | 4 | no | — |
| 689 | C2×Dic3 | — | 12 | 2 | no | — |
| 690 | C2×Dic3 | — | 24 | 1 | no | — |
| 691 | D12 | — | 6 | 2 | no | — |
| 692 | D12 | — | 6 | 4 | no | — |
| 693 | D12 | — | 12 | 1 | no | — |
| 694 | D12 | — | 12 | 2 | no | — |
| 695 | D12 | — | 12 | 2 | no | — |
| 696 | D12 | — | 12 | 2 | no | — |
| 697 | D12 | — | 24 | 1 | no | — |
| 698 | D12 | — | 24 | 1 | no | — |
| 699 | C4×D3 | — | 3 | 2 | no | — |
| 700 | C4×D3 | — | 3 | 2 | no | — |
| 701 | C4×D3 | — | 3 | 2 | no | — |
| 702 | C4×D3 | — | 3 | 2 | no | — |
| 703 | C4×D3 | — | 6 | 1 | no | — |
| 704 | C4×D3 | — | 6 | 1 | no | — |
| 705 | C4×D3 | — | 6 | 1 | no | — |
| 706 | C4×D3 | — | 6 | 1 | no | — |
| 707 | C4×D3 | — | 12 | 2 | no | — |
| 708 | C4×D3 | — | 12 | 4 | no | — |
| 709 | C4×D3 | — | 12 | 2 | no | — |
| 710 | C4×D3 | — | 12 | 2 | no | — |
| 711 | C4×D3 | — | 24 | 1 | no | — |
| 712 | C4×D3 | — | 24 | 1 | no | — |
| 713 | C4×D3 | — | 24 | 1 | no | — |
| 714 | C4×D3 | — | 24 | 4 | no | — |
| 715 | C4×D3 | — | 24 | 4 | no | — |
| 716 | C4×D3 | — | 24 | 4 | no | — |
| 717 | Dic6 | — | 6 | 2 | no | — |
| 718 | Dic6 | — | 12 | 1 | no | — |
| 719 | Dic6 | — | 12 | 2 | no | — |
| 720 | Dic6 | — | 24 | 1 | no | — |
| 721 | C3×C8 | — | 2 | 1 | no | — |
| 722 | C3×C8 | — | 2 | 1 | no | — |
| 723 | C3×C8 | — | 6 | 2 | no | — |
| 724 | C3×C8 | — | 12 | 2 | no | — |
| 725 | C3×C8 | C22×C4×D3 | 1 | 2 | yes | — |
| 726 | C3×C8 | D3×#41 | 1 | 2 | yes | — |
| 727 | C3⋊C8 | — | 2 | 2 | no | — |
| 728 | C3⋊C8 | — | 3 | 2 | no | — |
| 729 | C3⋊C8 | — | 3 | 2 | no | — |
| 730 | C3⋊C8 | — | 4 | 2 | no | — |
| 731 | C3⋊C8 | — | 6 | 1 | no | — |
| 732 | C3⋊C8 | — | 6 | 1 | no | — |
| 733 | C2×C32 | — | 2 | 1 | no | — |
| 734 | C2×C32 | — | 8 | 2 | no | — |
| 735 | C2×C32 | — | 8 | 1 | no | — |
| 736 | C2×C32 | C2×#442 | 1 | 1 | yes | characteristic |
| 737 | C3⋊D3 | — | 2 | 1 | no | — |
| 738 | C3⋊D3 | — | 8 | 1 | no | — |
| 739 | C3⋊D3 | — | 8 | 2 | no | — |
| 740 | C3⋊D3 | AGL(1,ℤ/16) | 1 | 2 | yes | complemented |
| 741 | C24 | — | 36 | 1 | no | — |
| 742 | #41 | — | 2 | 1 | no | — |
| 743 | #41 | — | 18 | 1 | no | — |
| 744 | #41 | — | 18 | 1 | no | — |
| 745 | #41 | — | 18 | 1 | no | — |
| 746 | #41 | — | 36 | 1 | no | — |
| 747 | #41 | — | 36 | 1 | no | — |
| 748 | C2×Q8 | — | 18 | 1 | no | — |
| 749 | C2×D4 | — | 2 | 1 | no | — |
| 750 | C2×D4 | — | 18 | 2 | no | — |
| 751 | C2×D4 | — | 18 | 2 | no | — |
| 752 | C2×D4 | — | 18 | 1 | no | — |
| 753 | C2×D4 | — | 18 | 1 | no | — |
| 754 | C2×D4 | — | 36 | 1 | no | — |
| 755 | C2×D4 | — | 36 | 1 | no | — |
| 756 | C2×D4 | — | 36 | 1 | no | — |
| 757 | C2×D4 | — | 36 | 1 | no | — |
| 758 | C22×C4 | — | 9 | 1 | no | — |
| 759 | C22×C4 | — | 12 | 2 | no | — |
| 760 | C22×C4 | — | 18 | 1 | no | — |
| 761 | C22×C4 | — | 36 | 1 | no | — |
| 762 | C22×C4 | — | 36 | 2 | no | — |
| 763 | C22×C4 | — | 36 | 1 | no | — |
| 764 | C22×C4 | — | 72 | 4 | no | — |
| 765 | Q16 | — | 9 | 1 | no | — |
| 766 | Q16 | — | 18 | 1 | no | — |
| 767 | Q16 | C2×#624 | 1 | 1 | yes | characteristic, complemented |
| 768 | SD16 | — | 2 | 1 | no | — |
| 769 | SD16 | — | 18 | 1 | no | — |
| 770 | SD16 | — | 18 | 1 | no | — |
| 771 | SD16 | — | 18 | 1 | no | — |
| 772 | D8 | — | 2 | 1 | no | — |
| 773 | D8 | — | 9 | 1 | no | — |
| 774 | D8 | — | 9 | 2 | no | — |
| 775 | D8 | — | 18 | 2 | no | — |
| 776 | D8 | — | 18 | 2 | no | — |
| 777 | D8 | — | 18 | 1 | no | — |
| 778 | D8 | — | 18 | 1 | no | — |
| 779 | D8 | C2×#624 | 1 | 2 | yes | — |
| 780 | D8 | C2×#624 | 1 | 1 | yes | characteristic, complemented |
| 781 | M16 | — | 6 | 2 | no | — |
| 782 | M16 | — | 12 | 2 | no | — |
| 783 | M16 | — | 36 | 2 | no | — |
| 784 | M16 | — | 36 | 1 | no | — |
| 785 | C2×C8 | — | 3 | 2 | no | — |
| 786 | C2×C8 | — | 9 | 1 | no | — |
| 787 | C2×C8 | — | 9 | 1 | no | — |
| 788 | C2×C8 | — | 9 | 1 | no | — |
| 789 | C2×C8 | — | 9 | 1 | no | — |
| 790 | C2×C8 | — | 9 | 1 | no | — |
| 791 | C2×C8 | — | 12 | 2 | no | — |
| 792 | C2×C8 | — | 18 | 1 | no | — |
| 793 | C2×C8 | — | 18 | 1 | no | — |
| 794 | C2×C8 | — | 36 | 2 | no | — |
| 795 | C2×C8 | — | 36 | 1 | no | — |
| 796 | C2×C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 797 | C4⋊C4 | — | 6 | 2 | no | — |
| 798 | C4⋊C4 | — | 36 | 1 | no | — |
| 799 | C22⋊C4 | — | 12 | 2 | no | — |
| 800 | C22⋊C4 | — | 36 | 2 | no | — |
| 801 | C42 | — | 3 | 2 | no | — |
| 802 | C42 | — | 18 | 1 | no | — |
| 803 | C16 | — | 6 | 2 | no | — |
| 804 | C16 | — | 9 | 2 | no | — |
| 805 | C16 | C2×#624 | 1 | 2 | yes | complemented |
| 806 | C22×C3 | — | 2 | 1 | no | — |
| 807 | C22×C3 | — | 4 | 2 | no | — |
| 808 | C22×C3 | — | 4 | 4 | no | — |
| 809 | C22×C3 | — | 8 | 1 | no | — |
| 810 | C22×C3 | — | 8 | 2 | no | — |
| 811 | C22×C3 | — | 8 | 2 | no | — |
| 812 | C22×C3 | — | 8 | 2 | no | — |
| 813 | C22×C3 | — | 16 | 1 | no | — |
| 814 | C22×C3 | — | 16 | 1 | no | — |
| 815 | C22×C3 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 816 | C2×D3 | — | 3 | 2 | no | — |
| 817 | C2×D3 | — | 3 | 2 | no | — |
| 818 | C2×D3 | — | 6 | 1 | no | — |
| 819 | C2×D3 | — | 6 | 1 | no | — |
| 820 | C2×D3 | — | 6 | 4 | no | — |
| 821 | C2×D3 | — | 12 | 2 | no | — |
| 822 | C2×D3 | — | 12 | 2 | no | — |
| 823 | C2×D3 | — | 12 | 4 | no | — |
| 824 | C2×D3 | — | 24 | 1 | no | — |
| 825 | C2×D3 | — | 24 | 2 | no | — |
| 826 | C2×D3 | — | 24 | 8 | no | — |
| 827 | C2×D3 | — | 24 | 4 | no | — |
| 828 | C2×D3 | — | 24 | 8 | no | — |
| 829 | C2×D3 | — | 24 | 2 | no | — |
| 830 | C2×D3 | — | 24 | 2 | no | — |
| 831 | C2×D3 | — | 48 | 4 | no | — |
| 832 | C2×D3 | — | 48 | 2 | no | — |
| 833 | C2×D3 | — | 48 | 4 | no | — |
| 834 | C2×D3 | — | 48 | 1 | no | — |
| 835 | C2×D3 | — | 48 | 1 | no | — |
| 836 | C3×C4 | — | 2 | 1 | no | — |
| 837 | C3×C4 | — | 2 | 1 | no | — |
| 838 | C3×C4 | — | 4 | 2 | no | — |
| 839 | C3×C4 | — | 8 | 1 | no | — |
| 840 | C3×C4 | — | 12 | 2 | no | — |
| 841 | C3×C4 | — | 24 | 2 | no | — |
| 842 | C3×C4 | C4×D3×D4 | 1 | 2 | yes | — |
| 843 | C3×C4 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 844 | Dic3 | — | 3 | 2 | no | — |
| 845 | Dic3 | — | 3 | 2 | no | — |
| 846 | Dic3 | — | 4 | 2 | no | — |
| 847 | Dic3 | — | 6 | 1 | no | — |
| 848 | Dic3 | — | 6 | 1 | no | — |
| 849 | Dic3 | — | 8 | 2 | no | — |
| 850 | Dic3 | — | 12 | 2 | no | — |
| 851 | Dic3 | — | 24 | 1 | no | — |
| 852 | C32 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 853 | C23 | — | 4 | 1 | no | — |
| 854 | C23 | — | 9 | 1 | no | — |
| 855 | C23 | — | 36 | 1 | no | — |
| 856 | C23 | — | 36 | 2 | no | — |
| 857 | C23 | — | 36 | 2 | no | — |
| 858 | C23 | — | 36 | 1 | no | — |
| 859 | C23 | — | 72 | 2 | no | — |
| 860 | C23 | — | 72 | 2 | no | — |
| 861 | Q8 | — | 2 | 1 | no | — |
| 862 | Q8 | — | 18 | 1 | no | — |
| 863 | Q8 | — | 36 | 1 | no | — |
| 864 | D4 | — | 2 | 2 | no | — |
| 865 | D4 | — | 2 | 1 | no | — |
| 866 | D4 | — | 4 | 1 | no | — |
| 867 | D4 | — | 4 | 1 | no | — |
| 868 | D4 | — | 18 | 2 | no | — |
| 869 | D4 | — | 18 | 1 | no | — |
| 870 | D4 | — | 36 | 1 | no | — |
| 871 | D4 | — | 36 | 2 | no | — |
| 872 | D4 | — | 36 | 2 | no | — |
| 873 | D4 | — | 36 | 1 | no | — |
| 874 | D4 | — | 36 | 1 | no | — |
| 875 | D4 | — | 36 | 1 | no | — |
| 876 | D4 | — | 36 | 1 | no | — |
| 877 | C2×C4 | — | 4 | 1 | no | — |
| 878 | C2×C4 | — | 6 | 2 | no | — |
| 879 | C2×C4 | — | 9 | 1 | no | — |
| 880 | C2×C4 | — | 9 | 1 | no | — |
| 881 | C2×C4 | — | 9 | 1 | no | — |
| 882 | C2×C4 | — | 9 | 1 | no | — |
| 883 | C2×C4 | — | 9 | 1 | no | — |
| 884 | C2×C4 | — | 12 | 2 | no | — |
| 885 | C2×C4 | — | 24 | 4 | no | — |
| 886 | C2×C4 | — | 36 | 1 | no | — |
| 887 | C2×C4 | — | 36 | 1 | no | — |
| 888 | C2×C4 | — | 36 | 1 | no | — |
| 889 | C2×C4 | — | 36 | 2 | no | — |
| 890 | C2×C4 | — | 36 | 1 | no | — |
| 891 | C2×C4 | — | 72 | 4 | no | — |
| 892 | C2×C4 | — | 72 | 2 | no | — |
| 893 | C2×C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 894 | C8 | — | 6 | 2 | no | — |
| 895 | C8 | — | 9 | 1 | no | — |
| 896 | C8 | — | 9 | 1 | no | — |
| 897 | C8 | — | 12 | 2 | no | — |
| 898 | C8 | #64312 | 1 | 1 | yes | characteristic |
| 899 | C8 | C22×#624 | 1 | 1 | yes | characteristic |
| 900 | C2×C3 | — | 2 | 2 | no | — |
| 901 | C2×C3 | — | 2 | 1 | no | — |
| 902 | C2×C3 | — | 4 | 1 | no | — |
| 903 | C2×C3 | — | 8 | 4 | no | — |
| 904 | C2×C3 | — | 8 | 2 | no | — |
| 905 | C2×C3 | — | 16 | 2 | no | — |
| 906 | C2×C3 | — | 16 | 1 | no | — |
| 907 | C2×C3 | D3×#442 | 1 | 2 | yes | — |
| 908 | D3 | — | 3 | 4 | no | — |
| 909 | D3 | — | 6 | 2 | no | — |
| 910 | D3 | — | 6 | 2 | no | — |
| 911 | D3 | — | 12 | 1 | no | — |
| 912 | D3 | — | 24 | 4 | no | — |
| 913 | D3 | — | 24 | 2 | no | — |
| 914 | D3 | — | 48 | 2 | no | — |
| 915 | D3 | — | 48 | 1 | no | — |
| 916 | C22 | — | 4 | 1 | no | — |
| 917 | C22 | — | 4 | 2 | no | — |
| 918 | C22 | — | 8 | 1 | no | — |
| 919 | C22 | — | 8 | 1 | no | — |
| 920 | C22 | — | 9 | 1 | no | — |
| 921 | C22 | — | 9 | 1 | no | — |
| 922 | C22 | — | 18 | 2 | no | — |
| 923 | C22 | — | 36 | 1 | no | — |
| 924 | C22 | — | 36 | 2 | no | — |
| 925 | C22 | — | 72 | 1 | no | — |
| 926 | C22 | — | 72 | 1 | no | — |
| 927 | C22 | — | 72 | 4 | no | — |
| 928 | C22 | — | 72 | 2 | no | — |
| 929 | C22 | — | 72 | 4 | no | — |
| 930 | C22 | #10594726 | 1 | 1 | yes | characteristic |
| 931 | C4 | — | 4 | 1 | no | — |
| 932 | C4 | — | 9 | 1 | no | — |
| 933 | C4 | — | 9 | 1 | no | — |
| 934 | C4 | — | 12 | 2 | no | — |
| 935 | C4 | — | 24 | 2 | no | — |
| 936 | C4 | — | 36 | 1 | no | — |
| 937 | C4 | #10594726 | 1 | 1 | yes | characteristic |
| 938 | C4 | D4×#624 | 1 | 1 | yes | characteristic |
| 939 | C3 | — | 2 | 1 | no | — |
| 940 | C3 | D3×AGL(1,ℤ/16) | 1 | 2 | yes | complemented |
| 941 | C2 | — | 2 | 1 | no | — |
| 942 | C2 | — | 8 | 2 | no | — |
| 943 | C2 | — | 8 | 1 | no | — |
| 944 | C2 | — | 9 | 2 | no | — |
| 945 | C2 | — | 18 | 1 | no | — |
| 946 | C2 | — | 72 | 2 | no | — |
| 947 | C2 | — | 72 | 1 | no | — |
| 948 | C2 | #11860158 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11861053 | C2 | semidirect |
| 3. #11860158 | C2 | semidirect |
| 4. #11797984 | C2 | semidirect |
| 5. #11797978 | C2 | semidirect |
| 6. #11797971 | C2 | semidirect |
| 7. C3×#71515 | C2 | semidirect |
| 8. #11797102 | C2 | semidirect |
| 9. #11796888 | C2 | semidirect |
| 10. #11796829 | C2 | semidirect |
| 11. #11795923 | C2 | semidirect |
| 20. #10592613 | C4 | semidirect |
| 21. C3⋊D3×SD32 | C4 | semidirect |
| 22. #10592610 | C4 | semidirect |
| 23. C3⋊D3×D16 | C4 | semidirect |
| 26. C3×#5197 | C22 | semidirect |
| 27. C3×#5152 | C22 | semidirect |
| 32. #10590918 | C22 | semidirect |
| 34. #10590768 | C22 | semidirect |
| 38. C3×#4566 | C22 | semidirect |
| 39. C3×#4563 | C22 | semidirect |
| 40. C3×#4513 | C22 | semidirect |
| 41. C3×#4512 | C22 | semidirect |
| 42. #10589138 | C22 | semidirect |
| 43. #10589128 | C22 | semidirect |
| 44. #10589125 | C22 | semidirect |
| 45. #10589105 | C22 | semidirect |
| 51. #71515 | D3 | semidirect |
| 69. #64128 | C2×C4 | semidirect |
| 70. Q16×C3⋊D3 | C2×C4 | semidirect |
| 73. #64121 | C2×C4 | semidirect |
| 78. D8×C3⋊D3 | C2×C4 | semidirect |
| 95. C32×SD32 | C2×C4 | semidirect |
| 96. C32×D16 | C2×C4 | semidirect |
| 98. #63655 | C2×C4 | semidirect |
| 99. #63654 | C2×C4 | semidirect |
| 100. #63653 | C2×C4 | semidirect |
| 101. #63653 | C2×C4 | semidirect |
| 103. #63627 | C2×C4 | semidirect |
| 104. #63626 | C2×C4 | semidirect |
| 105. #63625 | C2×C4 | semidirect |
| 106. C16×C3⋊D3 | C2×C4 | semidirect |
| 131. #5197 | C2×D3 | semidirect |
| 134. #5152 | C2×D3 | semidirect |
| 167. #4566 | C2×D3 | semidirect |
| 168. #4563 | C2×D3 | semidirect |
| 171. #4513 | C2×D3 | semidirect |
| 173. #4512 | C2×D3 | semidirect |
| 203. C32×Q16 | C22×C4 | semidirect |
| 207. C32×D8 | C22×C4 | semidirect |
| 216. #3746 | C22×C4 | semidirect |
| 219. #3745 | C22×C4 | semidirect |
| 241. C32×C16 | C22×C4 | semidirect |
| 242. C3⋊(C3⋊C16) | C22×C4 | semidirect |
| 314. C3×SD32 | C4×D3 | semidirect |
| 316. C3×D16 | C4×D3 | semidirect |
| 485. C3×Q16 | C2×C4×D3 | semidirect |
| 493. C3×D8 | C2×C4×D3 | semidirect |
| 556. C3×C16 | C2×C4×D3 | semidirect |
| 619. SD32 | #624 | semidirect |
| 623. D16 | #624 | semidirect |
| 740. C3⋊D3 | AGL(1,ℤ/16) | semidirect |
| 767. Q16 | C2×#624 | semidirect |
| 780. D8 | C2×#624 | semidirect |
| 805. C16 | C2×#624 | semidirect |
| 852. C32 | C2×AGL(1,ℤ/16) | semidirect |
| 940. C3 | D3×AGL(1,ℤ/16) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊D3×#509 | 2 |
| #11861053 | 2 |
| #11860158 | 2 |
| #11797984 | 2 |
| #11797978 | 2 |
| #11797971 | 2 |
| C3×#71515 | 2 |
| #11797102 | 2 |
| #11796888 | 2 |
| #11796829 | 2 |
| #11795923 | 2 |
| D3×AGL(1,ℤ/16) | 3 |