Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1853 conjugacy classes of subgroups.
The subgroup lattice has 1006 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596756 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5822 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595029 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10594795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×C3×#837 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10591690 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10591686 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10591668 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10591667 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×#63570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10591078 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #84004 | — | 3 | 1 | no | maximal |
| 13 | #78986 | — | 3 | 1 | no | maximal |
| 14 | C2×C32×#41 | C22 | 1 | 1 | yes | characteristic |
| 15 | #64367 | — | 2 | 1 | no | — |
| 16 | #64367 | C22 | 1 | 2 | yes | — |
| 17 | #64366 | — | 2 | 1 | no | — |
| 18 | #64366 | C22 | 1 | 2 | yes | — |
| 19 | #41×C3⋊D3 | — | 2 | 2 | no | — |
| 20 | #41×C3⋊D3 | — | 2 | 2 | no | — |
| 21 | #64364 | — | 2 | 1 | no | — |
| 22 | #64361 | — | 2 | 1 | no | — |
| 23 | #64361 | — | 2 | 2 | no | — |
| 24 | C2×#3828 | — | 2 | 2 | no | — |
| 25 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#3828 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×#951 | C22 | 1 | 2 | yes | complemented |
| 29 | C3×#950 | — | 2 | 2 | no | — |
| 30 | C3×#949 | C22 | 1 | 2 | yes | complemented |
| 31 | C3×#942 | — | 2 | 1 | no | — |
| 32 | C3×#932 | — | 2 | 1 | no | — |
| 33 | C2×C3×C4×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×C3×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×C3×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #63978 | — | 2 | 2 | no | — |
| 37 | #63911 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C4×#626 | — | 2 | 2 | no | — |
| 39 | #63866 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #63864 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #63860 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #63833 | C22 | 1 | 2 | yes | complemented |
| 43 | #63831 | — | 2 | 1 | no | — |
| 44 | #63830 | C22 | 1 | 2 | yes | complemented |
| 45 | #63829 | — | 2 | 2 | no | — |
| 46 | #63825 | — | 2 | 1 | no | — |
| 47 | C3×#837 | C22 | 1 | 2 | yes | complemented |
| 48 | C3×#837 | C22 | 1 | 2 | yes | complemented |
| 49 | #63570 | C22 | 1 | 2 | yes | complemented |
| 50 | #63570 | C22 | 1 | 2 | yes | complemented |
| 51 | #63561 | C22 | 1 | 2 | yes | complemented |
| 52 | #63559 | C22 | 1 | 2 | yes | complemented |
| 53 | #5964 | — | 3 | 1 | no | — |
| 54 | #5964 | — | 3 | 1 | no | — |
| 55 | #5964 | — | 6 | 1 | no | — |
| 56 | C3×#575 | — | 3 | 1 | no | — |
| 57 | #5832 | — | 3 | 1 | no | — |
| 58 | #5822 | — | 3 | 1 | no | — |
| 59 | #5822 | D3 | 1 | 1 | yes | characteristic, complemented |
| 60 | #5748 | — | 3 | 1 | no | — |
| 61 | #5477 | — | 3 | 1 | no | — |
| 62 | C2×C3×#104 | — | 3 | 1 | no | — |
| 63 | C2×#837 | D3 | 1 | 1 | yes | characteristic, complemented |
| 64 | #5205 | — | 3 | 2 | no | — |
| 65 | #5202 | — | 3 | 2 | no | — |
| 66 | #5201 | — | 3 | 2 | no | — |
| 67 | #5198 | — | 3 | 2 | no | — |
| 68 | C2×#825 | — | 3 | 1 | no | — |
| 69 | #5132 | — | 3 | 1 | no | — |
| 70 | #5132 | — | 3 | 1 | no | — |
| 71 | C2×#805 | — | 3 | 1 | no | — |
| 72 | #4827 | — | 3 | 2 | no | — |
| 73 | #4826 | — | 3 | 2 | no | — |
| 74 | #4825 | — | 3 | 2 | no | — |
| 75 | #4822 | — | 3 | 2 | no | — |
| 76 | C32×#41 | — | 2 | 1 | no | — |
| 77 | C32×#41 | — | 2 | 1 | no | — |
| 78 | C32×#41 | D4 | 1 | 2 | yes | complemented |
| 79 | C32×#41 | C23 | 1 | 2 | yes | — |
| 80 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 81 | C2×C32×D4 | — | 2 | 1 | no | — |
| 82 | C2×C32×D4 | D4 | 1 | 1 | yes | characteristic, complemented |
| 83 | C22×C32×C4 | — | 2 | 1 | no | — |
| 84 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×#638 | — | 2 | 4 | no | — |
| 86 | C2×#638 | — | 2 | 1 | no | — |
| 87 | C2×#638 | D4 | 1 | 2 | yes | — |
| 88 | #3832 | — | 2 | 2 | no | — |
| 89 | #3832 | — | 2 | 2 | no | — |
| 90 | Q8×C3⋊D3 | — | 2 | 2 | no | — |
| 91 | Q8×C3⋊D3 | — | 2 | 2 | no | — |
| 92 | #3830 | — | 2 | 4 | no | — |
| 93 | #3830 | — | 2 | 2 | no | — |
| 94 | #3830 | — | 2 | 2 | no | — |
| 95 | #3830 | — | 2 | 4 | no | — |
| 96 | D4×C3⋊D3 | — | 2 | 4 | no | — |
| 97 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 98 | D4×C3⋊D3 | — | 2 | 4 | no | — |
| 99 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 100 | #3828 | — | 2 | 4 | no | — |
| 101 | #3828 | — | 2 | 4 | no | — |
| 102 | #3828 | — | 2 | 1 | no | — |
| 103 | #3828 | — | 2 | 1 | no | — |
| 104 | #3828 | — | 2 | 1 | no | — |
| 105 | #3828 | — | 2 | 1 | no | — |
| 106 | #3828 | — | 2 | 1 | no | — |
| 107 | #3828 | — | 2 | 1 | no | — |
| 108 | #3828 | — | 2 | 2 | no | — |
| 109 | #3828 | — | 2 | 2 | no | — |
| 110 | #3828 | D4 | 1 | 2 | yes | complemented |
| 111 | #3828 | C23 | 1 | 2 | yes | — |
| 112 | C2×C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 113 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic, complemented |
| 114 | C2×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 115 | C2×C4×C3⋊D3 | — | 2 | 4 | no | — |
| 116 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 117 | C2×C4×C3⋊D3 | D4 | 1 | 2 | yes | — |
| 118 | C2×#634 | — | 2 | 2 | no | — |
| 119 | C2×#634 | D4 | 1 | 1 | yes | characteristic, complemented |
| 120 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×C3×#67 | — | 2 | 1 | no | — |
| 122 | C22×C3×Dic3 | — | 2 | 1 | no | — |
| 123 | C3×#235 | — | 2 | 1 | no | — |
| 124 | C3×#235 | — | 2 | 1 | no | — |
| 125 | C3×#235 | — | 2 | 1 | no | — |
| 126 | C3×#235 | — | 2 | 1 | no | — |
| 127 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 129 | C2×C3×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×#626 | — | 2 | 2 | no | — |
| 131 | C3×#216 | — | 2 | 2 | no | — |
| 132 | C3×#215 | — | 2 | 2 | no | — |
| 133 | C3×#214 | — | 2 | 2 | no | — |
| 134 | C3×#213 | — | 2 | 2 | no | — |
| 135 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 136 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 137 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 138 | C3×#208 | — | 2 | 1 | no | — |
| 139 | C3×#208 | — | 2 | 1 | no | — |
| 140 | C3×#208 | C23 | 1 | 2 | yes | — |
| 141 | C3×#208 | C23 | 1 | 2 | yes | — |
| 142 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 143 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 144 | Dic3⋊Dic3 | — | 2 | 2 | no | — |
| 145 | #3722 | — | 2 | 2 | no | — |
| 146 | (C2×D3)⋊Dic3 | — | 2 | 2 | no | — |
| 147 | #3719 | — | 2 | 2 | no | — |
| 148 | #3717 | — | 2 | 2 | no | — |
| 149 | #3716 | — | 2 | 2 | no | — |
| 150 | #3714 | — | 2 | 2 | no | — |
| 151 | #3018 | — | 9 | 1 | no | Sylow |
| 152 | C2×C3×#41 | — | 2 | 1 | no | — |
| 153 | C2×C3×#41 | — | 3 | 1 | no | — |
| 154 | C2×C3×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 155 | C2×C3×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 156 | #1010 | — | 3 | 2 | no | — |
| 157 | #1010 | — | 3 | 2 | no | — |
| 158 | #1010 | — | 6 | 2 | no | — |
| 159 | #1010 | — | 6 | 1 | no | — |
| 160 | #1010 | — | 6 | 1 | no | — |
| 161 | #1010 | — | 6 | 2 | no | — |
| 162 | #1009 | — | 3 | 2 | no | — |
| 163 | #1009 | — | 3 | 2 | no | — |
| 164 | #1009 | — | 6 | 2 | no | — |
| 165 | #1009 | — | 6 | 1 | no | — |
| 166 | #1009 | — | 6 | 1 | no | — |
| 167 | #1009 | — | 6 | 2 | no | — |
| 168 | D3×#41 | — | 6 | 2 | no | — |
| 169 | D3×#41 | — | 6 | 2 | no | — |
| 170 | D3×#41 | — | 6 | 4 | no | — |
| 171 | D3×#41 | — | 6 | 4 | no | — |
| 172 | D3×#41 | — | 6 | 2 | no | — |
| 173 | D3×#41 | — | 6 | 2 | no | — |
| 174 | #1007 | — | 6 | 2 | no | — |
| 175 | #1007 | — | 6 | 1 | no | — |
| 176 | #1007 | — | 6 | 1 | no | — |
| 177 | #1004 | — | 6 | 2 | no | — |
| 178 | #1004 | — | 6 | 2 | no | — |
| 179 | #1004 | — | 6 | 4 | no | — |
| 180 | #1004 | — | 6 | 2 | no | — |
| 181 | #1004 | — | 6 | 1 | no | — |
| 182 | #1004 | — | 6 | 1 | no | — |
| 183 | C2×#235 | — | 3 | 1 | no | — |
| 184 | C2×#235 | — | 3 | 1 | no | — |
| 185 | C2×#235 | — | 3 | 1 | no | — |
| 186 | C2×#235 | — | 3 | 1 | no | — |
| 187 | C2×#235 | — | 6 | 1 | no | — |
| 188 | C2×#235 | — | 6 | 1 | no | — |
| 189 | C2×#235 | — | 6 | 2 | no | — |
| 190 | C2×#235 | — | 6 | 2 | no | — |
| 191 | C2×#235 | — | 6 | 4 | no | — |
| 192 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 193 | C3×#137 | — | 3 | 2 | no | — |
| 194 | C3×#137 | — | 6 | 1 | no | — |
| 195 | C3×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 196 | C3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 197 | C3×#135 | — | 6 | 2 | no | — |
| 198 | C2×C3×M16 | — | 3 | 1 | no | — |
| 199 | C2×C3×M16 | — | 3 | 1 | no | — |
| 200 | C2×C3×C42 | — | 3 | 1 | no | — |
| 201 | #951 | — | 6 | 1 | no | — |
| 202 | #951 | C2×D3 | 1 | 2 | yes | complemented |
| 203 | #950 | — | 2 | 2 | no | — |
| 204 | #950 | — | 6 | 2 | no | — |
| 205 | #949 | — | 6 | 1 | no | — |
| 206 | #949 | C2×D3 | 1 | 2 | yes | complemented |
| 207 | #947 | — | 3 | 1 | no | — |
| 208 | #944 | — | 3 | 1 | no | — |
| 209 | #942 | — | 2 | 1 | no | — |
| 210 | #942 | — | 3 | 2 | no | — |
| 211 | #940 | — | 3 | 1 | no | — |
| 212 | #939 | — | 6 | 2 | no | — |
| 213 | #936 | — | 3 | 1 | no | — |
| 214 | #932 | — | 2 | 1 | no | — |
| 215 | #932 | — | 3 | 2 | no | — |
| 216 | #930 | — | 6 | 2 | no | — |
| 217 | C4×#67 | — | 6 | 2 | no | — |
| 218 | C2×C4×Dic3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 219 | C2×#208 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 220 | C2×#208 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 221 | #909 | — | 3 | 2 | no | — |
| 222 | #909 | — | 6 | 1 | no | — |
| 223 | #908 | — | 3 | 2 | no | — |
| 224 | #908 | — | 6 | 1 | no | — |
| 225 | #904 | — | 6 | 2 | no | — |
| 226 | #875 | — | 3 | 1 | no | — |
| 227 | #875 | — | 3 | 1 | no | — |
| 228 | #874 | — | 3 | 1 | no | — |
| 229 | C4×D12 | — | 6 | 2 | no | — |
| 230 | #869 | — | 3 | 1 | no | — |
| 231 | C3×#104 | — | 3 | 2 | no | — |
| 232 | C3×#104 | — | 3 | 2 | no | — |
| 233 | #837 | C2×D3 | 1 | 2 | yes | complemented |
| 234 | #837 | C2×D3 | 1 | 2 | yes | complemented |
| 235 | #825 | — | 3 | 2 | no | — |
| 236 | #825 | — | 3 | 2 | no | — |
| 237 | #824 | — | 3 | 2 | no | — |
| 238 | #824 | — | 3 | 2 | no | — |
| 239 | #823 | — | 3 | 2 | no | — |
| 240 | #823 | — | 3 | 2 | no | — |
| 241 | #805 | — | 3 | 2 | no | — |
| 242 | #805 | — | 3 | 2 | no | — |
| 243 | C23×C32 | — | 2 | 1 | no | — |
| 244 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C22×C3⋊D3 | — | 2 | 4 | no | — |
| 246 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 247 | C22×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 248 | C22×C3×D3 | — | 2 | 1 | no | — |
| 249 | C32×Q8 | — | 2 | 1 | no | — |
| 250 | C32×Q8 | C2×D4 | 1 | 2 | yes | — |
| 251 | C32×D4 | — | 2 | 2 | no | — |
| 252 | C32×D4 | — | 2 | 2 | no | — |
| 253 | C32×D4 | — | 2 | 1 | no | — |
| 254 | C32×D4 | C2×D4 | 1 | 2 | yes | — |
| 255 | C2×C32×C4 | — | 2 | 1 | no | — |
| 256 | C2×C32×C4 | — | 2 | 2 | no | — |
| 257 | C2×C32×C4 | — | 2 | 2 | no | — |
| 258 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 264 | #638 | — | 2 | 4 | no | — |
| 265 | #638 | — | 2 | 4 | no | — |
| 266 | #638 | — | 2 | 2 | no | — |
| 267 | #638 | — | 2 | 2 | no | — |
| 268 | #638 | — | 2 | 2 | no | — |
| 269 | #638 | — | 2 | 2 | no | — |
| 270 | C2×C3⋊Dic3 | — | 2 | 4 | no | — |
| 271 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 272 | C2×C3⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 273 | C4⋊(C3⋊D3) | — | 2 | 4 | no | — |
| 274 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 275 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 276 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 277 | C4⋊(C3⋊D3) | C2×D4 | 1 | 2 | yes | — |
| 278 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 279 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 280 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 281 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 282 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 283 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 284 | #634 | — | 2 | 4 | no | — |
| 285 | #634 | — | 2 | 1 | no | — |
| 286 | #634 | — | 2 | 1 | no | — |
| 287 | #634 | — | 2 | 1 | no | — |
| 288 | #634 | C2×D4 | 1 | 2 | yes | — |
| 289 | C3×#67 | — | 4 | 1 | no | — |
| 290 | C3×#67 | — | 4 | 1 | no | — |
| 291 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 292 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 293 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 294 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 295 | C3×D12 | — | 2 | 1 | no | — |
| 296 | C3×D12 | — | 2 | 1 | no | — |
| 297 | C3×C4×D3 | — | 4 | 1 | no | — |
| 298 | C3×C4×D3 | — | 4 | 1 | no | — |
| 299 | C3×Dic6 | — | 2 | 1 | no | — |
| 300 | C3×Dic6 | — | 2 | 1 | no | — |
| 301 | #626 | — | 4 | 4 | no | — |
| 302 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 303 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 304 | #585 | — | 9 | 1 | no | — |
| 305 | #575 | — | 3 | 1 | no | — |
| 306 | #575 | — | 9 | 1 | no | — |
| 307 | #532 | — | 9 | 1 | no | — |
| 308 | #456 | — | 9 | 2 | no | — |
| 309 | #455 | — | 9 | 2 | no | — |
| 310 | #454 | — | 9 | 2 | no | — |
| 311 | #453 | — | 9 | 2 | no | — |
| 312 | C2×#104 | — | 3 | 1 | no | — |
| 313 | C2×#104 | — | 9 | 1 | no | — |
| 314 | #413 | — | 9 | 1 | no | — |
| 315 | C3×#41 | — | 2 | 2 | no | — |
| 316 | C3×#41 | — | 2 | 2 | no | — |
| 317 | C3×#41 | — | 2 | 1 | no | — |
| 318 | C3×#41 | — | 2 | 1 | no | — |
| 319 | C3×#41 | — | 2 | 1 | no | — |
| 320 | C3×#41 | — | 2 | 1 | no | — |
| 321 | C3×#41 | — | 2 | 2 | no | — |
| 322 | C3×#41 | — | 2 | 2 | no | — |
| 323 | C3×#41 | — | 6 | 1 | no | — |
| 324 | C3×#41 | — | 6 | 1 | no | — |
| 325 | C3×#41 | — | 6 | 1 | no | — |
| 326 | C3×#41 | — | 6 | 1 | no | — |
| 327 | C3×#41 | D12 | 1 | 2 | yes | complemented |
| 328 | C3×#41 | #67 | 1 | 2 | yes | complemented |
| 329 | C3×#41 | C22×D3 | 1 | 2 | yes | — |
| 330 | C3×#41 | C22×D3 | 1 | 2 | yes | — |
| 331 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 332 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 333 | C2×C3×Q8 | D12 | 1 | 1 | yes | characteristic, complemented |
| 334 | C2×C3×Q8 | #67 | 1 | 1 | yes | characteristic, complemented |
| 335 | C2×C3×D4 | — | 2 | 2 | no | — |
| 336 | C2×C3×D4 | — | 2 | 1 | no | — |
| 337 | C2×C3×D4 | — | 2 | 1 | no | — |
| 338 | C2×C3×D4 | — | 2 | 1 | no | — |
| 339 | C2×C3×D4 | — | 3 | 1 | no | — |
| 340 | C2×C3×D4 | — | 6 | 1 | no | — |
| 341 | C2×C3×D4 | D12 | 1 | 1 | yes | characteristic, complemented |
| 342 | C2×C3×D4 | #67 | 1 | 1 | yes | characteristic, complemented |
| 343 | C22×C3×C4 | — | 2 | 2 | no | — |
| 344 | C22×C3×C4 | — | 2 | 1 | no | — |
| 345 | C22×C3×C4 | — | 2 | 1 | no | — |
| 346 | C22×C3×C4 | — | 2 | 1 | no | — |
| 347 | C22×C3×C4 | — | 6 | 1 | no | — |
| 348 | C22×C3×C4 | — | 6 | 1 | no | — |
| 349 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 350 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 351 | C2×#67 | — | 2 | 1 | no | — |
| 352 | C2×#67 | — | 3 | 2 | no | — |
| 353 | C2×#67 | — | 3 | 2 | no | — |
| 354 | C2×#67 | — | 6 | 2 | no | — |
| 355 | C2×#67 | — | 6 | 2 | no | — |
| 356 | C2×#67 | — | 6 | 8 | no | — |
| 357 | C2×#67 | — | 6 | 4 | no | — |
| 358 | C2×#67 | — | 6 | 4 | no | — |
| 359 | C2×#67 | — | 6 | 2 | no | — |
| 360 | C2×#67 | — | 6 | 1 | no | — |
| 361 | C2×#67 | — | 6 | 1 | no | — |
| 362 | C22×Dic3 | — | 2 | 1 | no | — |
| 363 | #239 | — | 6 | 4 | no | — |
| 364 | #239 | — | 6 | 2 | no | — |
| 365 | #239 | — | 6 | 2 | no | — |
| 366 | #239 | — | 6 | 4 | no | — |
| 367 | #239 | — | 6 | 2 | no | — |
| 368 | #239 | — | 6 | 2 | no | — |
| 369 | D3×Q8 | — | 6 | 4 | no | — |
| 370 | D3×Q8 | — | 6 | 2 | no | — |
| 371 | D3×Q8 | — | 6 | 2 | no | — |
| 372 | D3×Q8 | — | 6 | 4 | no | — |
| 373 | D3×Q8 | — | 6 | 2 | no | — |
| 374 | D3×Q8 | — | 6 | 2 | no | — |
| 375 | #237 | — | 6 | 4 | no | — |
| 376 | #237 | — | 6 | 4 | no | — |
| 377 | #237 | — | 6 | 8 | no | — |
| 378 | #237 | — | 6 | 8 | no | — |
| 379 | #237 | — | 6 | 4 | no | — |
| 380 | #237 | — | 6 | 4 | no | — |
| 381 | #237 | — | 6 | 4 | no | — |
| 382 | #237 | — | 6 | 2 | no | — |
| 383 | #237 | — | 6 | 2 | no | — |
| 384 | #237 | — | 6 | 4 | no | — |
| 385 | #237 | — | 6 | 2 | no | — |
| 386 | #237 | — | 6 | 2 | no | — |
| 387 | D3×D4 | — | 6 | 4 | no | — |
| 388 | D3×D4 | — | 6 | 4 | no | — |
| 389 | D3×D4 | — | 6 | 8 | no | — |
| 390 | D3×D4 | — | 6 | 8 | no | — |
| 391 | D3×D4 | — | 6 | 4 | no | — |
| 392 | D3×D4 | — | 6 | 4 | no | — |
| 393 | D3×D4 | — | 6 | 4 | no | — |
| 394 | D3×D4 | — | 6 | 2 | no | — |
| 395 | D3×D4 | — | 6 | 2 | no | — |
| 396 | D3×D4 | — | 6 | 4 | no | — |
| 397 | D3×D4 | — | 6 | 2 | no | — |
| 398 | D3×D4 | — | 6 | 2 | no | — |
| 399 | #235 | — | 2 | 1 | no | — |
| 400 | #235 | — | 2 | 1 | no | — |
| 401 | #235 | — | 2 | 1 | no | — |
| 402 | #235 | — | 2 | 1 | no | — |
| 403 | #235 | — | 3 | 2 | no | — |
| 404 | #235 | — | 3 | 2 | no | — |
| 405 | #235 | — | 3 | 2 | no | — |
| 406 | #235 | — | 3 | 2 | no | — |
| 407 | #235 | — | 6 | 2 | no | — |
| 408 | #235 | — | 6 | 2 | no | — |
| 409 | #235 | — | 6 | 2 | no | — |
| 410 | #235 | — | 6 | 2 | no | — |
| 411 | #235 | — | 6 | 2 | no | — |
| 412 | #235 | — | 6 | 2 | no | — |
| 413 | #235 | — | 6 | 2 | no | — |
| 414 | #235 | — | 6 | 8 | no | — |
| 415 | #235 | — | 6 | 4 | no | — |
| 416 | #235 | — | 6 | 4 | no | — |
| 417 | #235 | — | 6 | 2 | no | — |
| 418 | #235 | — | 6 | 2 | no | — |
| 419 | #235 | — | 6 | 8 | no | — |
| 420 | #235 | — | 6 | 4 | no | — |
| 421 | #235 | — | 6 | 4 | no | — |
| 422 | #235 | — | 6 | 2 | no | — |
| 423 | #235 | — | 6 | 2 | no | — |
| 424 | #235 | — | 6 | 4 | no | — |
| 425 | #235 | — | 6 | 4 | no | — |
| 426 | #235 | — | 6 | 2 | no | — |
| 427 | #235 | — | 6 | 1 | no | — |
| 428 | #235 | — | 6 | 1 | no | — |
| 429 | #235 | — | 6 | 1 | no | — |
| 430 | #235 | — | 6 | 1 | no | — |
| 431 | #235 | — | 6 | 1 | no | — |
| 432 | #235 | — | 6 | 1 | no | — |
| 433 | #235 | — | 6 | 1 | no | — |
| 434 | #235 | — | 6 | 1 | no | — |
| 435 | #235 | — | 6 | 1 | no | — |
| 436 | #235 | — | 6 | 1 | no | — |
| 437 | #235 | — | 6 | 1 | no | — |
| 438 | #235 | — | 6 | 1 | no | — |
| 439 | C2×D12 | — | 3 | 1 | no | — |
| 440 | C2×D12 | — | 3 | 1 | no | — |
| 441 | C2×D12 | — | 3 | 1 | no | — |
| 442 | C2×D12 | — | 3 | 1 | no | — |
| 443 | C2×D12 | — | 6 | 1 | no | — |
| 444 | C2×D12 | — | 6 | 1 | no | — |
| 445 | C2×D12 | — | 6 | 2 | no | — |
| 446 | C2×D12 | — | 6 | 2 | no | — |
| 447 | C2×D12 | — | 6 | 4 | no | — |
| 448 | C2×D12 | — | 6 | 2 | no | — |
| 449 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 450 | C2×C4×D3 | — | 2 | 1 | no | — |
| 451 | C2×C4×D3 | — | 3 | 2 | no | — |
| 452 | C2×C4×D3 | — | 3 | 2 | no | — |
| 453 | C2×C4×D3 | — | 6 | 2 | no | — |
| 454 | C2×C4×D3 | — | 6 | 8 | no | — |
| 455 | C2×C4×D3 | — | 6 | 4 | no | — |
| 456 | C2×C4×D3 | — | 6 | 4 | no | — |
| 457 | C2×C4×D3 | — | 6 | 2 | no | — |
| 458 | C2×C4×D3 | — | 6 | 1 | no | — |
| 459 | C2×C4×D3 | — | 6 | 1 | no | — |
| 460 | C2×Dic6 | — | 3 | 1 | no | — |
| 461 | C2×Dic6 | — | 3 | 1 | no | — |
| 462 | C2×Dic6 | — | 3 | 1 | no | — |
| 463 | C2×Dic6 | — | 3 | 1 | no | — |
| 464 | C2×Dic6 | — | 6 | 1 | no | — |
| 465 | C2×Dic6 | — | 6 | 1 | no | — |
| 466 | C2×Dic6 | — | 6 | 2 | no | — |
| 467 | C2×Dic6 | — | 6 | 2 | no | — |
| 468 | C2×Dic6 | — | 6 | 4 | no | — |
| 469 | C2×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 470 | C3×Q16 | — | 6 | 2 | no | — |
| 471 | C3×SD16 | — | 6 | 2 | no | — |
| 472 | C3×SD16 | — | 6 | 2 | no | — |
| 473 | C3×D8 | — | 6 | 2 | no | — |
| 474 | C3×M16 | — | 3 | 2 | no | — |
| 475 | C3×M16 | — | 3 | 2 | no | — |
| 476 | C3×M16 | — | 6 | 1 | no | — |
| 477 | C3×M16 | — | 6 | 1 | no | — |
| 478 | C2×C3×C8 | — | 6 | 1 | no | — |
| 479 | C2×C3×C8 | — | 6 | 1 | no | — |
| 480 | C3×C42 | — | 3 | 1 | no | — |
| 481 | C3×C42 | — | 3 | 1 | no | — |
| 482 | C3×C42 | — | 6 | 1 | no | — |
| 483 | #217 | — | 6 | 2 | no | — |
| 484 | #216 | — | 2 | 2 | no | — |
| 485 | #216 | — | 6 | 2 | no | — |
| 486 | #215 | — | 2 | 2 | no | — |
| 487 | #215 | — | 6 | 2 | no | — |
| 488 | #214 | — | 2 | 2 | no | — |
| 489 | #214 | — | 6 | 2 | no | — |
| 490 | #213 | — | 2 | 2 | no | — |
| 491 | #213 | — | 6 | 2 | no | — |
| 492 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 493 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 494 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 495 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 496 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 497 | C4×Dic3 | — | 2 | 1 | no | — |
| 498 | C4×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 499 | C4×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 500 | #208 | — | 2 | 1 | no | — |
| 501 | #208 | — | 2 | 1 | no | — |
| 502 | #208 | C22×D3 | 1 | 2 | yes | — |
| 503 | #208 | C22×D3 | 1 | 2 | yes | — |
| 504 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 505 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 506 | Dic12 | — | 6 | 2 | no | — |
| 507 | D24 | — | 6 | 2 | no | — |
| 508 | #204 | — | 6 | 2 | no | — |
| 509 | #204 | — | 6 | 2 | no | — |
| 510 | C22×C32 | — | 2 | 2 | no | — |
| 511 | C22×C32 | — | 4 | 1 | no | — |
| 512 | C22×C32 | — | 8 | 1 | no | — |
| 513 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 514 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 515 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 516 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 517 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 518 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 519 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 520 | C2×C3⋊D3 | — | 8 | 4 | no | — |
| 521 | C2×C3×D3 | — | 4 | 2 | no | — |
| 522 | C2×C3×D3 | — | 4 | 1 | no | — |
| 523 | C32×C4 | — | 2 | 2 | no | — |
| 524 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 525 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 526 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 527 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 528 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 529 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 530 | C3×Dic3 | — | 2 | 2 | no | — |
| 531 | C3×Dic3 | — | 4 | 1 | no | — |
| 532 | C3×Dic3 | — | 4 | 1 | no | — |
| 533 | 2−1+4 | — | 9 | 2 | no | — |
| 534 | 2−1+4 | — | 18 | 1 | no | — |
| 535 | 2−1+4 | — | 18 | 1 | no | — |
| 536 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 537 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 538 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 539 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 540 | C2×#41 | — | 3 | 1 | no | — |
| 541 | C2×#41 | — | 9 | 1 | no | — |
| 542 | C2×#41 | — | 9 | 1 | no | — |
| 543 | C2×#41 | — | 18 | 2 | no | — |
| 544 | C2×#41 | — | 18 | 2 | no | — |
| 545 | C2×#41 | — | 18 | 2 | no | — |
| 546 | C2×#41 | D32 | 1 | 1 | yes | characteristic |
| 547 | #137 | — | 3 | 2 | no | — |
| 548 | #137 | — | 6 | 1 | no | — |
| 549 | #137 | — | 9 | 2 | no | — |
| 550 | #137 | — | 18 | 1 | no | — |
| 551 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 552 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 553 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 554 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 555 | #135 | — | 6 | 2 | no | — |
| 556 | #135 | — | 18 | 2 | no | — |
| 557 | C2×M16 | — | 3 | 1 | no | — |
| 558 | C2×M16 | — | 3 | 1 | no | — |
| 559 | C4⋊Q8 | — | 9 | 1 | no | — |
| 560 | #127 | — | 9 | 1 | no | — |
| 561 | #124 | — | 9 | 1 | no | — |
| 562 | #124 | — | 9 | 1 | no | — |
| 563 | #121 | — | 18 | 2 | no | — |
| 564 | C4×D4 | — | 18 | 2 | no | — |
| 565 | C2×C42 | — | 3 | 1 | no | — |
| 566 | #104 | — | 3 | 2 | no | — |
| 567 | #104 | — | 3 | 2 | no | — |
| 568 | #104 | — | 9 | 2 | no | — |
| 569 | #104 | — | 9 | 2 | no | — |
| 570 | #101 | — | 9 | 2 | no | — |
| 571 | #100 | — | 9 | 2 | no | — |
| 572 | C23×C3 | — | 2 | 2 | no | — |
| 573 | C23×C3 | — | 2 | 1 | no | — |
| 574 | C23×C3 | — | 2 | 1 | no | — |
| 575 | C23×C3 | — | 2 | 1 | no | — |
| 576 | C23×C3 | — | 6 | 1 | no | — |
| 577 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 578 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 579 | C22×D3 | — | 2 | 1 | no | — |
| 580 | C22×D3 | — | 3 | 2 | no | — |
| 581 | C22×D3 | — | 3 | 2 | no | — |
| 582 | C22×D3 | — | 6 | 2 | no | — |
| 583 | C22×D3 | — | 6 | 8 | no | — |
| 584 | C22×D3 | — | 6 | 4 | no | — |
| 585 | C22×D3 | — | 6 | 4 | no | — |
| 586 | C22×D3 | — | 6 | 2 | no | — |
| 587 | C22×D3 | — | 6 | 1 | no | — |
| 588 | C22×D3 | — | 6 | 1 | no | — |
| 589 | C3×Q8 | — | 2 | 2 | no | — |
| 590 | C3×Q8 | — | 2 | 1 | no | — |
| 591 | C3×Q8 | — | 2 | 1 | no | — |
| 592 | C3×Q8 | — | 2 | 2 | no | — |
| 593 | C3×Q8 | — | 6 | 1 | no | — |
| 594 | C3×Q8 | — | 6 | 1 | no | — |
| 595 | C3×Q8 | C2×D12 | 1 | 2 | yes | — |
| 596 | C3×Q8 | C2×#67 | 1 | 2 | yes | — |
| 597 | C3×D4 | — | 2 | 4 | no | — |
| 598 | C3×D4 | — | 2 | 4 | no | — |
| 599 | C3×D4 | — | 2 | 2 | no | — |
| 600 | C3×D4 | — | 2 | 2 | no | — |
| 601 | C3×D4 | — | 2 | 2 | no | — |
| 602 | C3×D4 | — | 2 | 2 | no | — |
| 603 | C3×D4 | — | 2 | 2 | no | — |
| 604 | C3×D4 | — | 2 | 1 | no | — |
| 605 | C3×D4 | — | 2 | 1 | no | — |
| 606 | C3×D4 | — | 2 | 2 | no | — |
| 607 | C3×D4 | — | 6 | 1 | no | — |
| 608 | C3×D4 | — | 6 | 1 | no | — |
| 609 | C3×D4 | — | 12 | 1 | no | — |
| 610 | C3×D4 | — | 12 | 1 | no | — |
| 611 | C3×D4 | C2×D12 | 1 | 2 | yes | — |
| 612 | C3×D4 | C2×#67 | 1 | 2 | yes | — |
| 613 | C2×C3×C4 | — | 2 | 4 | no | — |
| 614 | C2×C3×C4 | — | 2 | 4 | no | — |
| 615 | C2×C3×C4 | — | 2 | 2 | no | — |
| 616 | C2×C3×C4 | — | 2 | 1 | no | — |
| 617 | C2×C3×C4 | — | 2 | 1 | no | — |
| 618 | C2×C3×C4 | — | 2 | 2 | no | — |
| 619 | C2×C3×C4 | — | 2 | 2 | no | — |
| 620 | C2×C3×C4 | — | 2 | 2 | no | — |
| 621 | C2×C3×C4 | — | 2 | 2 | no | — |
| 622 | C2×C3×C4 | — | 2 | 1 | no | — |
| 623 | C2×C3×C4 | — | 2 | 1 | no | — |
| 624 | C2×C3×C4 | — | 2 | 1 | no | — |
| 625 | C2×C3×C4 | — | 2 | 1 | no | — |
| 626 | C2×C3×C4 | — | 2 | 1 | no | — |
| 627 | C2×C3×C4 | — | 2 | 1 | no | — |
| 628 | C2×C3×C4 | — | 6 | 1 | no | — |
| 629 | C2×C3×C4 | — | 6 | 1 | no | — |
| 630 | C2×C3×C4 | — | 6 | 1 | no | — |
| 631 | C2×C3×C4 | — | 12 | 2 | no | — |
| 632 | C2×C3×C4 | — | 12 | 1 | no | — |
| 633 | C2×C3×C4 | — | 12 | 1 | no | — |
| 634 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 635 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 636 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 637 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 638 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 639 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 640 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 641 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 642 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 643 | C2×C3×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 644 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 645 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 646 | #67 | — | 4 | 1 | no | — |
| 647 | #67 | — | 4 | 1 | no | — |
| 648 | #67 | — | 6 | 4 | no | — |
| 649 | #67 | — | 6 | 4 | no | — |
| 650 | #67 | — | 6 | 8 | no | — |
| 651 | #67 | — | 6 | 8 | no | — |
| 652 | #67 | — | 6 | 4 | no | — |
| 653 | #67 | — | 6 | 4 | no | — |
| 654 | #67 | — | 6 | 4 | no | — |
| 655 | #67 | — | 6 | 4 | no | — |
| 656 | #67 | — | 6 | 4 | no | — |
| 657 | #67 | — | 6 | 4 | no | — |
| 658 | #67 | — | 6 | 2 | no | — |
| 659 | #67 | — | 6 | 2 | no | — |
| 660 | #67 | — | 6 | 2 | no | — |
| 661 | #67 | — | 6 | 2 | no | — |
| 662 | #67 | — | 6 | 2 | no | — |
| 663 | #67 | — | 6 | 2 | no | — |
| 664 | #67 | — | 6 | 2 | no | — |
| 665 | #67 | — | 6 | 2 | no | — |
| 666 | #67 | — | 12 | 4 | no | — |
| 667 | C2×Dic3 | — | 2 | 1 | no | — |
| 668 | C2×Dic3 | — | 2 | 1 | no | — |
| 669 | C2×Dic3 | — | 2 | 1 | no | — |
| 670 | C2×Dic3 | — | 3 | 2 | no | — |
| 671 | C2×Dic3 | — | 3 | 2 | no | — |
| 672 | C2×Dic3 | — | 4 | 2 | no | — |
| 673 | C2×Dic3 | — | 6 | 2 | no | — |
| 674 | C2×Dic3 | — | 6 | 8 | no | — |
| 675 | C2×Dic3 | — | 6 | 4 | no | — |
| 676 | C2×Dic3 | — | 6 | 4 | no | — |
| 677 | C2×Dic3 | — | 6 | 2 | no | — |
| 678 | C2×Dic3 | — | 6 | 1 | no | — |
| 679 | C2×Dic3 | — | 6 | 1 | no | — |
| 680 | D12 | — | 2 | 1 | no | — |
| 681 | D12 | — | 2 | 1 | no | — |
| 682 | D12 | — | 3 | 2 | no | — |
| 683 | D12 | — | 3 | 2 | no | — |
| 684 | D12 | — | 6 | 2 | no | — |
| 685 | D12 | — | 6 | 2 | no | — |
| 686 | D12 | — | 6 | 8 | no | — |
| 687 | D12 | — | 6 | 4 | no | — |
| 688 | D12 | — | 6 | 4 | no | — |
| 689 | D12 | — | 6 | 2 | no | — |
| 690 | D12 | — | 6 | 2 | no | — |
| 691 | D12 | — | 6 | 1 | no | — |
| 692 | D12 | — | 6 | 1 | no | — |
| 693 | D12 | — | 6 | 1 | no | — |
| 694 | D12 | — | 6 | 1 | no | — |
| 695 | D12 | — | 6 | 1 | no | — |
| 696 | D12 | — | 6 | 1 | no | — |
| 697 | D12 | — | 12 | 4 | no | — |
| 698 | C4×D3 | — | 4 | 1 | no | — |
| 699 | C4×D3 | — | 4 | 1 | no | — |
| 700 | C4×D3 | — | 6 | 4 | no | — |
| 701 | C4×D3 | — | 6 | 4 | no | — |
| 702 | C4×D3 | — | 6 | 8 | no | — |
| 703 | C4×D3 | — | 6 | 8 | no | — |
| 704 | C4×D3 | — | 6 | 4 | no | — |
| 705 | C4×D3 | — | 6 | 4 | no | — |
| 706 | C4×D3 | — | 6 | 4 | no | — |
| 707 | C4×D3 | — | 6 | 4 | no | — |
| 708 | C4×D3 | — | 6 | 4 | no | — |
| 709 | C4×D3 | — | 6 | 4 | no | — |
| 710 | C4×D3 | — | 6 | 2 | no | — |
| 711 | C4×D3 | — | 6 | 2 | no | — |
| 712 | C4×D3 | — | 6 | 2 | no | — |
| 713 | C4×D3 | — | 6 | 2 | no | — |
| 714 | C4×D3 | — | 6 | 2 | no | — |
| 715 | C4×D3 | — | 6 | 2 | no | — |
| 716 | C4×D3 | — | 6 | 2 | no | — |
| 717 | C4×D3 | — | 6 | 2 | no | — |
| 718 | Dic6 | — | 2 | 1 | no | — |
| 719 | Dic6 | — | 2 | 1 | no | — |
| 720 | Dic6 | — | 3 | 2 | no | — |
| 721 | Dic6 | — | 3 | 2 | no | — |
| 722 | Dic6 | — | 6 | 2 | no | — |
| 723 | Dic6 | — | 6 | 2 | no | — |
| 724 | Dic6 | — | 6 | 8 | no | — |
| 725 | Dic6 | — | 6 | 4 | no | — |
| 726 | Dic6 | — | 6 | 4 | no | — |
| 727 | Dic6 | — | 6 | 2 | no | — |
| 728 | Dic6 | — | 6 | 2 | no | — |
| 729 | Dic6 | — | 6 | 1 | no | — |
| 730 | Dic6 | — | 6 | 1 | no | — |
| 731 | Dic6 | — | 6 | 1 | no | — |
| 732 | Dic6 | — | 6 | 1 | no | — |
| 733 | Dic6 | — | 6 | 1 | no | — |
| 734 | Dic6 | — | 6 | 1 | no | — |
| 735 | C3×C8 | — | 6 | 2 | no | — |
| 736 | C3×C8 | — | 6 | 2 | no | — |
| 737 | C3⋊C8 | — | 2 | 2 | no | — |
| 738 | C3⋊C8 | — | 2 | 2 | no | — |
| 739 | C2×C32 | — | 2 | 1 | no | — |
| 740 | C2×C32 | — | 2 | 1 | no | — |
| 741 | C2×C32 | — | 2 | 1 | no | — |
| 742 | C2×C32 | — | 4 | 2 | no | — |
| 743 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 744 | C3⋊D3 | — | 4 | 2 | no | — |
| 745 | C3⋊D3 | — | 4 | 2 | no | — |
| 746 | C3×D3 | — | 8 | 1 | no | — |
| 747 | #41 | — | 2 | 1 | no | — |
| 748 | #41 | — | 2 | 1 | no | — |
| 749 | #41 | — | 6 | 1 | no | — |
| 750 | #41 | — | 6 | 1 | no | — |
| 751 | #41 | — | 6 | 1 | no | — |
| 752 | #41 | — | 6 | 1 | no | — |
| 753 | #41 | — | 9 | 2 | no | — |
| 754 | #41 | — | 9 | 2 | no | — |
| 755 | #41 | — | 18 | 2 | no | — |
| 756 | #41 | — | 18 | 2 | no | — |
| 757 | #41 | — | 18 | 4 | no | — |
| 758 | #41 | — | 18 | 4 | no | — |
| 759 | #41 | — | 18 | 4 | no | — |
| 760 | #41 | — | 18 | 4 | no | — |
| 761 | #41 | — | 18 | 2 | no | — |
| 762 | #41 | — | 18 | 2 | no | — |
| 763 | #41 | — | 18 | 2 | no | — |
| 764 | #41 | — | 18 | 2 | no | — |
| 765 | #41 | — | 18 | 1 | no | — |
| 766 | #41 | — | 18 | 1 | no | — |
| 767 | #41 | — | 18 | 1 | no | — |
| 768 | #41 | — | 18 | 1 | no | — |
| 769 | #41 | — | 18 | 1 | no | — |
| 770 | #41 | — | 18 | 1 | no | — |
| 771 | #41 | #626 | 1 | 2 | yes | complemented |
| 772 | #41 | C2×D32 | 1 | 2 | yes | — |
| 773 | C2×Q8 | — | 3 | 1 | no | — |
| 774 | C2×Q8 | — | 9 | 1 | no | — |
| 775 | C2×Q8 | — | 9 | 1 | no | — |
| 776 | C2×Q8 | — | 18 | 2 | no | — |
| 777 | C2×Q8 | — | 18 | 2 | no | — |
| 778 | C2×Q8 | — | 18 | 2 | no | — |
| 779 | C2×Q8 | #626 | 1 | 1 | yes | characteristic, complemented |
| 780 | C2×D4 | — | 2 | 1 | no | — |
| 781 | C2×D4 | — | 3 | 1 | no | — |
| 782 | C2×D4 | — | 6 | 1 | no | — |
| 783 | C2×D4 | — | 9 | 2 | no | — |
| 784 | C2×D4 | — | 9 | 1 | no | — |
| 785 | C2×D4 | — | 9 | 1 | no | — |
| 786 | C2×D4 | — | 18 | 2 | no | — |
| 787 | C2×D4 | — | 18 | 2 | no | — |
| 788 | C2×D4 | — | 18 | 4 | no | — |
| 789 | C2×D4 | — | 18 | 4 | no | — |
| 790 | C2×D4 | — | 18 | 2 | no | — |
| 791 | C2×D4 | — | 18 | 4 | no | — |
| 792 | C2×D4 | — | 18 | 1 | no | — |
| 793 | C2×D4 | — | 18 | 2 | no | — |
| 794 | C2×D4 | #626 | 1 | 1 | yes | characteristic, complemented |
| 795 | C22×C4 | — | 2 | 1 | no | — |
| 796 | C22×C4 | — | 6 | 1 | no | — |
| 797 | C22×C4 | — | 6 | 1 | no | — |
| 798 | C22×C4 | — | 9 | 2 | no | — |
| 799 | C22×C4 | — | 18 | 4 | no | — |
| 800 | C22×C4 | — | 18 | 1 | no | — |
| 801 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 802 | Q16 | — | 6 | 2 | no | — |
| 803 | Q16 | — | 18 | 2 | no | — |
| 804 | SD16 | — | 6 | 2 | no | — |
| 805 | SD16 | — | 6 | 2 | no | — |
| 806 | SD16 | — | 18 | 2 | no | — |
| 807 | SD16 | — | 18 | 2 | no | — |
| 808 | D8 | — | 6 | 2 | no | — |
| 809 | D8 | — | 18 | 2 | no | — |
| 810 | M16 | — | 3 | 2 | no | — |
| 811 | M16 | — | 3 | 2 | no | — |
| 812 | M16 | — | 6 | 1 | no | — |
| 813 | M16 | — | 6 | 1 | no | — |
| 814 | C2×C8 | — | 6 | 1 | no | — |
| 815 | C2×C8 | — | 6 | 1 | no | — |
| 816 | C4⋊C4 | — | 18 | 2 | no | — |
| 817 | C22⋊C4 | — | 18 | 2 | no | — |
| 818 | C22⋊C4 | — | 18 | 2 | no | — |
| 819 | C42 | — | 3 | 1 | no | — |
| 820 | C42 | — | 3 | 1 | no | — |
| 821 | C42 | — | 6 | 1 | no | — |
| 822 | C22×C3 | — | 2 | 4 | no | — |
| 823 | C22×C3 | — | 2 | 2 | no | — |
| 824 | C22×C3 | — | 2 | 2 | no | — |
| 825 | C22×C3 | — | 2 | 1 | no | — |
| 826 | C22×C3 | — | 2 | 1 | no | — |
| 827 | C22×C3 | — | 2 | 1 | no | — |
| 828 | C22×C3 | — | 4 | 1 | no | — |
| 829 | C22×C3 | — | 4 | 1 | no | — |
| 830 | C22×C3 | — | 8 | 1 | no | — |
| 831 | C22×C3 | — | 8 | 1 | no | — |
| 832 | C22×C3 | — | 8 | 1 | no | — |
| 833 | C22×C3 | — | 8 | 2 | no | — |
| 834 | C22×C3 | — | 12 | 2 | no | — |
| 835 | C22×C3 | — | 12 | 1 | no | — |
| 836 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 837 | C22×C3 | #882 | 1 | 1 | yes | characteristic |
| 838 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 839 | C22×C3 | #937 | 1 | 1 | yes | characteristic |
| 840 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 841 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 842 | C2×D3 | — | 4 | 2 | no | — |
| 843 | C2×D3 | — | 4 | 1 | no | — |
| 844 | C2×D3 | — | 6 | 4 | no | — |
| 845 | C2×D3 | — | 6 | 4 | no | — |
| 846 | C2×D3 | — | 6 | 2 | no | — |
| 847 | C2×D3 | — | 6 | 2 | no | — |
| 848 | C2×D3 | — | 6 | 2 | no | — |
| 849 | C2×D3 | — | 6 | 2 | no | — |
| 850 | C2×D3 | — | 12 | 2 | no | — |
| 851 | C2×D3 | — | 12 | 2 | no | — |
| 852 | C2×D3 | — | 24 | 2 | no | — |
| 853 | C2×D3 | — | 24 | 1 | no | — |
| 854 | C2×D3 | — | 24 | 1 | no | — |
| 855 | C2×D3 | — | 24 | 2 | no | — |
| 856 | C2×D3 | — | 24 | 8 | no | — |
| 857 | C2×D3 | — | 24 | 4 | no | — |
| 858 | C2×D3 | — | 24 | 4 | no | — |
| 859 | C3×C4 | — | 2 | 4 | no | — |
| 860 | C3×C4 | — | 2 | 2 | no | — |
| 861 | C3×C4 | — | 2 | 2 | no | — |
| 862 | C3×C4 | — | 2 | 1 | no | — |
| 863 | C3×C4 | — | 2 | 1 | no | — |
| 864 | C3×C4 | — | 2 | 1 | no | — |
| 865 | C3×C4 | — | 2 | 1 | no | — |
| 866 | C3×C4 | — | 6 | 2 | no | — |
| 867 | C3×C4 | — | 12 | 1 | no | — |
| 868 | C3×C4 | — | 12 | 1 | no | — |
| 869 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 870 | C3×C4 | #882 | 1 | 1 | yes | characteristic |
| 871 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 872 | C3×C4 | #937 | 1 | 1 | yes | characteristic |
| 873 | C3×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 874 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 875 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 876 | C3×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 877 | Dic3 | — | 2 | 2 | no | — |
| 878 | Dic3 | — | 4 | 1 | no | — |
| 879 | Dic3 | — | 4 | 1 | no | — |
| 880 | Dic3 | — | 6 | 4 | no | — |
| 881 | Dic3 | — | 6 | 4 | no | — |
| 882 | Dic3 | — | 6 | 2 | no | — |
| 883 | Dic3 | — | 6 | 2 | no | — |
| 884 | Dic3 | — | 6 | 2 | no | — |
| 885 | Dic3 | — | 6 | 2 | no | — |
| 886 | C32 | #3018 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 887 | C23 | — | 2 | 1 | no | — |
| 888 | C23 | — | 6 | 1 | no | — |
| 889 | C23 | — | 9 | 2 | no | — |
| 890 | C23 | — | 18 | 4 | no | — |
| 891 | C23 | — | 18 | 1 | no | — |
| 892 | C23 | #3811 | 1 | 1 | yes | characteristic |
| 893 | Q8 | — | 2 | 1 | no | — |
| 894 | Q8 | — | 6 | 1 | no | — |
| 895 | Q8 | — | 6 | 1 | no | — |
| 896 | Q8 | — | 9 | 2 | no | — |
| 897 | Q8 | — | 18 | 4 | no | — |
| 898 | Q8 | — | 18 | 1 | no | — |
| 899 | Q8 | — | 18 | 1 | no | — |
| 900 | Q8 | — | 18 | 1 | no | — |
| 901 | Q8 | C2×#626 | 1 | 2 | yes | — |
| 902 | D4 | — | 2 | 2 | no | — |
| 903 | D4 | — | 2 | 2 | no | — |
| 904 | D4 | — | 2 | 1 | no | — |
| 905 | D4 | — | 6 | 1 | no | — |
| 906 | D4 | — | 6 | 1 | no | — |
| 907 | D4 | — | 9 | 2 | no | — |
| 908 | D4 | — | 12 | 1 | no | — |
| 909 | D4 | — | 12 | 1 | no | — |
| 910 | D4 | — | 18 | 4 | no | — |
| 911 | D4 | — | 18 | 4 | no | — |
| 912 | D4 | — | 18 | 4 | no | — |
| 913 | D4 | — | 18 | 2 | no | — |
| 914 | D4 | — | 18 | 2 | no | — |
| 915 | D4 | — | 18 | 2 | no | — |
| 916 | D4 | — | 18 | 2 | no | — |
| 917 | D4 | — | 18 | 1 | no | — |
| 918 | D4 | — | 18 | 1 | no | — |
| 919 | D4 | — | 18 | 1 | no | — |
| 920 | D4 | — | 36 | 4 | no | — |
| 921 | D4 | C2×#626 | 1 | 2 | yes | — |
| 922 | C2×C4 | — | 2 | 1 | no | — |
| 923 | C2×C4 | — | 2 | 2 | no | — |
| 924 | C2×C4 | — | 2 | 2 | no | — |
| 925 | C2×C4 | — | 6 | 1 | no | — |
| 926 | C2×C4 | — | 6 | 1 | no | — |
| 927 | C2×C4 | — | 6 | 1 | no | — |
| 928 | C2×C4 | — | 9 | 2 | no | — |
| 929 | C2×C4 | — | 12 | 2 | no | — |
| 930 | C2×C4 | — | 12 | 1 | no | — |
| 931 | C2×C4 | — | 12 | 1 | no | — |
| 932 | C2×C4 | — | 18 | 4 | no | — |
| 933 | C2×C4 | — | 18 | 4 | no | — |
| 934 | C2×C4 | — | 18 | 4 | no | — |
| 935 | C2×C4 | — | 18 | 1 | no | — |
| 936 | C2×C4 | — | 18 | 2 | no | — |
| 937 | C2×C4 | — | 18 | 2 | no | — |
| 938 | C2×C4 | — | 18 | 2 | no | — |
| 939 | C2×C4 | — | 18 | 2 | no | — |
| 940 | C2×C4 | C2×#626 | 1 | 1 | yes | characteristic |
| 941 | C2×C4 | C2×#626 | 1 | 1 | yes | characteristic |
| 942 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 943 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 944 | C2×C4 | #3811 | 1 | 1 | yes | characteristic |
| 945 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 946 | C8 | — | 6 | 2 | no | — |
| 947 | C8 | — | 6 | 2 | no | — |
| 948 | C2×C3 | — | 2 | 1 | no | — |
| 949 | C2×C3 | — | 2 | 1 | no | — |
| 950 | C2×C3 | — | 2 | 1 | no | — |
| 951 | C2×C3 | — | 2 | 1 | no | — |
| 952 | C2×C3 | — | 2 | 1 | no | — |
| 953 | C2×C3 | — | 2 | 1 | no | — |
| 954 | C2×C3 | — | 2 | 1 | no | — |
| 955 | C2×C3 | — | 4 | 1 | no | — |
| 956 | C2×C3 | — | 4 | 1 | no | — |
| 957 | C2×C3 | — | 4 | 1 | no | — |
| 958 | C2×C3 | — | 4 | 4 | no | — |
| 959 | C2×C3 | — | 4 | 2 | no | — |
| 960 | C2×C3 | — | 4 | 2 | no | — |
| 961 | C2×C3 | — | 24 | 1 | no | — |
| 962 | C2×C3 | C2×#882 | 1 | 1 | yes | characteristic |
| 963 | C2×C3 | C2×#937 | 1 | 1 | yes | characteristic |
| 964 | D3 | — | 8 | 1 | no | — |
| 965 | D3 | — | 12 | 4 | no | — |
| 966 | D3 | — | 12 | 4 | no | — |
| 967 | D3 | — | 12 | 2 | no | — |
| 968 | D3 | — | 12 | 2 | no | — |
| 969 | D3 | — | 12 | 2 | no | — |
| 970 | D3 | — | 12 | 2 | no | — |
| 971 | C22 | — | 2 | 2 | no | — |
| 972 | C22 | — | 4 | 1 | no | — |
| 973 | C22 | — | 8 | 1 | no | — |
| 974 | C22 | — | 12 | 2 | no | — |
| 975 | C22 | — | 12 | 1 | no | — |
| 976 | C22 | — | 18 | 2 | no | — |
| 977 | C22 | — | 18 | 2 | no | — |
| 978 | C22 | — | 36 | 2 | no | — |
| 979 | C22 | — | 72 | 1 | no | — |
| 980 | C22 | — | 72 | 4 | no | — |
| 981 | C22 | #63981 | 1 | 1 | yes | characteristic |
| 982 | C22 | #63981 | 1 | 1 | yes | characteristic |
| 983 | C22 | C2×#3811 | 1 | 1 | yes | characteristic |
| 984 | C4 | — | 2 | 2 | no | — |
| 985 | C4 | — | 6 | 2 | no | — |
| 986 | C4 | — | 12 | 1 | no | — |
| 987 | C4 | — | 12 | 1 | no | — |
| 988 | C4 | — | 18 | 2 | no | — |
| 989 | C4 | — | 18 | 2 | no | — |
| 990 | C4 | #63981 | 1 | 1 | yes | characteristic |
| 991 | C4 | #63981 | 1 | 1 | yes | characteristic |
| 992 | C4 | C22×#626 | 1 | 1 | yes | characteristic |
| 993 | C4 | C2×#3811 | 1 | 1 | yes | characteristic |
| 994 | C3 | — | 2 | 1 | no | — |
| 995 | C3 | #78986 | 1 | 1 | yes | characteristic, complemented |
| 996 | C3 | #84004 | 1 | 1 | yes | characteristic, complemented |
| 997 | C2 | — | 2 | 1 | no | — |
| 998 | C2 | — | 2 | 1 | no | — |
| 999 | C2 | — | 2 | 1 | no | — |
| 1000 | C2 | — | 4 | 2 | no | — |
| 1001 | C2 | — | 24 | 1 | no | — |
| 1002 | C2 | — | 36 | 2 | no | — |
| 1003 | C2 | — | 36 | 2 | no | — |
| 1004 | C2 | C2×#63981 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596756 | C2 | semidirect |
| 2. C3×#5822 | C2 | semidirect |
| 3. #10595029 | C2 | semidirect |
| 4. #10594795 | C2 | semidirect |
| 5. C2×C3×#837 | C2 | semidirect |
| 6. #10591690 | C2 | semidirect |
| 7. #10591686 | C2 | semidirect |
| 8. #10591668 | C2 | semidirect |
| 9. #10591667 | C2 | semidirect |
| 10. C2×#63570 | C2 | semidirect |
| 11. #10591078 | C2 | semidirect |
| 27. C2×C3×#235 | C22 | semidirect |
| 28. C3×#951 | C22 | semidirect |
| 30. C3×#949 | C22 | semidirect |
| 33. C2×C3×C4×Dic3 | C22 | semidirect |
| 34. C2×C3×#208 | C22 | semidirect |
| 35. C2×C3×#208 | C22 | semidirect |
| 37. #63911 | C22 | semidirect |
| 39. #63866 | C22 | semidirect |
| 40. #63864 | C22 | semidirect |
| 41. #63860 | C22 | semidirect |
| 42. #63833 | C22 | semidirect |
| 44. #63830 | C22 | semidirect |
| 47. C3×#837 | C22 | semidirect |
| 48. C3×#837 | C22 | semidirect |
| 49. #63570 | C22 | semidirect |
| 50. #63570 | C22 | semidirect |
| 51. #63561 | C22 | semidirect |
| 52. #63559 | C22 | semidirect |
| 59. #5822 | D3 | semidirect |
| 63. C2×#837 | D3 | semidirect |
| 78. C32×#41 | D4 | semidirect |
| 80. C2×C32×Q8 | D4 | semidirect |
| 82. C2×C32×D4 | D4 | semidirect |
| 110. #3828 | D4 | semidirect |
| 113. C2×C4⋊(C3⋊D3) | D4 | semidirect |
| 119. C2×#634 | D4 | semidirect |
| 192. C2×#235 | C2×D3 | semidirect |
| 202. #951 | C2×D3 | semidirect |
| 206. #949 | C2×D3 | semidirect |
| 218. C2×C4×Dic3 | C2×D3 | semidirect |
| 219. C2×#208 | C2×D3 | semidirect |
| 220. C2×#208 | C2×D3 | semidirect |
| 233. #837 | C2×D3 | semidirect |
| 234. #837 | C2×D3 | semidirect |
| 327. C3×#41 | D12 | semidirect |
| 328. C3×#41 | #67 | semidirect |
| 333. C2×C3×Q8 | D12 | semidirect |
| 334. C2×C3×Q8 | #67 | semidirect |
| 341. C2×C3×D4 | D12 | semidirect |
| 342. C2×C3×D4 | #67 | semidirect |
| 771. #41 | #626 | semidirect |
| 779. C2×Q8 | #626 | semidirect |
| 794. C2×D4 | #626 | semidirect |
| 886. C32 | #3018 | semidirect |
| 995. C3 | #78986 | semidirect |
| 996. C3 | #84004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596756 | 2 |
| C3×#5822 | 2 |
| #10595029 | 2 |
| #10594795 | 2 |
| C2×C3×#837 | 2 |
| #10591690 | 2 |
| #10591686 | 2 |
| #10591668 | 2 |
| #10591667 | 2 |
| C2×#63570 | 2 |
| #10591078 | 2 |
| #84004 | 3 |
| #78986 | 3 |