Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2281 conjugacy classes of subgroups.
The subgroup lattice has 1271 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5666 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5651 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595266 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10595262 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10595167 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10595160 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10594976 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10594922 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10594503 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10594493 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10594465 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #10594369 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #10594242 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #10594236 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #10594130 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #10594112 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #10594055 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | #10594043 | C2 | 1 | 2 | yes | maximal, complemented |
| 20 | #87115 | — | 3 | 1 | no | maximal |
| 21 | #87070 | — | 3 | 1 | no | maximal |
| 22 | C2×#3830 | C22 | 1 | 1 | yes | characteristic |
| 23 | C22×C4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C22×D3×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#3796 | C22 | 1 | 2 | yes | — |
| 26 | C2×#3796 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C32×#123 | C22 | 1 | 1 | yes | characteristic |
| 28 | #64146 | C22 | 1 | 1 | yes | characteristic |
| 29 | #64138 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #64105 | C22 | 1 | 2 | yes | complemented |
| 31 | #64102 | C22 | 1 | 2 | yes | complemented |
| 32 | #64093 | C22 | 1 | 2 | yes | — |
| 33 | #64091 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #64090 | C22 | 1 | 2 | yes | — |
| 35 | #64086 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C3×#940 | C22 | 1 | 1 | yes | characteristic |
| 37 | C3×#937 | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×#936 | C22 | 1 | 1 | yes | characteristic |
| 39 | C3×#935 | C22 | 1 | 1 | yes | characteristic |
| 40 | C3×#930 | C22 | 1 | 2 | yes | — |
| 41 | C3×#924 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×#898 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#895 | C22 | 1 | 2 | yes | complemented |
| 44 | C3×#889 | C22 | 1 | 2 | yes | complemented |
| 45 | C3×#888 | C22 | 1 | 2 | yes | complemented |
| 46 | C3×#884 | C22 | 1 | 2 | yes | — |
| 47 | C3×#883 | C22 | 1 | 2 | yes | complemented |
| 48 | C3×#882 | C22 | 1 | 2 | yes | complemented |
| 49 | C3×#879 | C22 | 1 | 2 | yes | complemented |
| 50 | C3×#879 | C22 | 1 | 2 | yes | complemented |
| 51 | C3×#878 | C22 | 1 | 2 | yes | complemented |
| 52 | #63981 | C22 | 1 | 2 | yes | — |
| 53 | #63981 | C22 | 1 | 2 | yes | complemented |
| 54 | #63978 | C22 | 1 | 2 | yes | — |
| 55 | #63977 | C22 | 1 | 2 | yes | — |
| 56 | #63977 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #67⋊Dic3 | C22 | 1 | 2 | yes | — |
| 58 | #67⋊Dic3 | C22 | 1 | 2 | yes | complemented |
| 59 | #67⋊Dic3 | C22 | 1 | 2 | yes | complemented |
| 60 | #63971 | C22 | 1 | 2 | yes | — |
| 61 | #63971 | C22 | 1 | 2 | yes | — |
| 62 | #63969 | C22 | 1 | 2 | yes | complemented |
| 63 | #63966 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #63959 | C22 | 1 | 2 | yes | — |
| 65 | #63958 | C22 | 1 | 2 | yes | complemented |
| 66 | #63958 | C22 | 1 | 2 | yes | complemented |
| 67 | #63957 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #63953 | C22 | 1 | 2 | yes | — |
| 69 | #63916 | C22 | 1 | 2 | yes | — |
| 70 | #63911 | C22 | 1 | 2 | yes | — |
| 71 | #63910 | C22 | 1 | 2 | yes | — |
| 72 | #63909 | C22 | 1 | 2 | yes | complemented |
| 73 | #63907 | C22 | 1 | 2 | yes | — |
| 74 | #63907 | C22 | 1 | 2 | yes | complemented |
| 75 | #63899 | C22 | 1 | 2 | yes | complemented |
| 76 | #63898 | C22 | 1 | 2 | yes | complemented |
| 77 | #63897 | C22 | 1 | 2 | yes | complemented |
| 78 | #63896 | C22 | 1 | 2 | yes | complemented |
| 79 | #63895 | C22 | 1 | 2 | yes | complemented |
| 80 | #63890 | C22 | 1 | 2 | yes | — |
| 81 | #63887 | C22 | 1 | 2 | yes | complemented |
| 82 | #63886 | C22 | 1 | 2 | yes | — |
| 83 | #63886 | C22 | 1 | 2 | yes | complemented |
| 84 | #63886 | C22 | 1 | 2 | yes | complemented |
| 85 | #63884 | C22 | 1 | 2 | yes | complemented |
| 86 | #63884 | C22 | 1 | 2 | yes | complemented |
| 87 | C4×#624 | C22 | 1 | 1 | yes | characteristic, complemented |
| 88 | #63881 | C22 | 1 | 2 | yes | — |
| 89 | #63881 | C22 | 1 | 2 | yes | complemented |
| 90 | #63881 | C22 | 1 | 2 | yes | complemented |
| 91 | #63878 | C22 | 1 | 2 | yes | complemented |
| 92 | C4×D3×Dic3 | C22 | 1 | 2 | yes | complemented |
| 93 | #63871 | C22 | 1 | 2 | yes | complemented |
| 94 | #63868 | C22 | 1 | 2 | yes | complemented |
| 95 | #63868 | C22 | 1 | 2 | yes | complemented |
| 96 | #63866 | C22 | 1 | 1 | yes | characteristic, complemented |
| 97 | #63860 | C22 | 1 | 1 | yes | characteristic, complemented |
| 98 | #63859 | C22 | 1 | 2 | yes | complemented |
| 99 | #63854 | C22 | 1 | 2 | yes | complemented |
| 100 | #63853 | C22 | 1 | 2 | yes | — |
| 101 | #63853 | C22 | 1 | 2 | yes | complemented |
| 102 | #63852 | C22 | 1 | 2 | yes | — |
| 103 | #63851 | C22 | 1 | 2 | yes | complemented |
| 104 | #63850 | C22 | 1 | 2 | yes | complemented |
| 105 | #63849 | C22 | 1 | 2 | yes | complemented |
| 106 | #63847 | C22 | 1 | 2 | yes | complemented |
| 107 | #63846 | C22 | 1 | 2 | yes | complemented |
| 108 | #63838 | C22 | 1 | 2 | yes | complemented |
| 109 | C3×#563 | — | 3 | 1 | no | — |
| 110 | C3×#560 | — | 3 | 1 | no | — |
| 111 | #5735 | — | 3 | 2 | no | — |
| 112 | #5725 | — | 3 | 2 | no | — |
| 113 | #5720 | — | 3 | 1 | no | — |
| 114 | #5716 | — | 3 | 1 | no | — |
| 115 | #5712 | — | 3 | 2 | no | — |
| 116 | #5711 | — | 3 | 2 | no | — |
| 117 | #5711 | — | 3 | 2 | no | — |
| 118 | #5706 | — | 3 | 2 | no | — |
| 119 | #5706 | — | 3 | 2 | no | — |
| 120 | #5706 | — | 3 | 2 | no | — |
| 121 | #5700 | — | 3 | 2 | no | — |
| 122 | #5691 | — | 3 | 2 | no | — |
| 123 | #5683 | — | 3 | 1 | no | — |
| 124 | #5668 | — | 3 | 1 | no | — |
| 125 | #5667 | — | 3 | 2 | no | — |
| 126 | #5666 | — | 3 | 1 | no | — |
| 127 | #5666 | D3 | 1 | 1 | yes | characteristic, complemented |
| 128 | #5656 | — | 3 | 1 | no | — |
| 129 | #5656 | — | 3 | 1 | no | — |
| 130 | #5656 | — | 3 | 1 | no | — |
| 131 | #5656 | — | 6 | 1 | no | — |
| 132 | #5651 | D3 | 1 | 1 | yes | characteristic, complemented |
| 133 | #5649 | — | 3 | 2 | no | — |
| 134 | #5647 | — | 3 | 2 | no | — |
| 135 | #5647 | — | 3 | 2 | no | — |
| 136 | #5627 | — | 3 | 2 | no | — |
| 137 | #5627 | — | 3 | 2 | no | — |
| 138 | #5621 | — | 3 | 2 | no | — |
| 139 | #5621 | — | 3 | 2 | no | — |
| 140 | #5620 | — | 3 | 2 | no | — |
| 141 | #5606 | — | 3 | 2 | no | — |
| 142 | #5600 | — | 3 | 2 | no | — |
| 143 | #5596 | — | 3 | 2 | no | — |
| 144 | #5595 | — | 3 | 2 | no | — |
| 145 | #5594 | — | 3 | 1 | no | — |
| 146 | #5586 | — | 3 | 1 | no | — |
| 147 | #5586 | — | 3 | 2 | no | — |
| 148 | C23×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 149 | C23×C3×D3 | C23 | 1 | 1 | yes | characteristic |
| 150 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 151 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 152 | C2×#638 | C23 | 1 | 2 | yes | — |
| 153 | C2×#638 | C23 | 1 | 1 | yes | characteristic |
| 154 | C2×#638 | C23 | 1 | 1 | yes | characteristic |
| 155 | C22×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 156 | C22×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 157 | #3830 | — | 4 | 2 | no | — |
| 158 | C2×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 159 | C2×C4×C3⋊D3 | — | 4 | 2 | no | — |
| 160 | C2×C4×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 161 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 162 | C2×C4×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 163 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 164 | C2×C3×#67 | C23 | 1 | 2 | yes | — |
| 165 | C2×C3×#67 | C23 | 1 | 2 | yes | — |
| 166 | C2×C3×#67 | C23 | 1 | 2 | yes | — |
| 167 | C22×C3×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 168 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 169 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 170 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 171 | C2×C3×C4×D3 | C23 | 1 | 2 | yes | — |
| 172 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 173 | C2×C3×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 174 | C2×#627 | C23 | 1 | 2 | yes | — |
| 175 | C2×#626 | C23 | 1 | 2 | yes | — |
| 176 | C2×#626 | C23 | 1 | 2 | yes | — |
| 177 | C2×#626 | C23 | 1 | 2 | yes | — |
| 178 | C2×#626 | C23 | 1 | 2 | yes | — |
| 179 | C2×#626 | C23 | 1 | 2 | yes | — |
| 180 | C2×#626 | C23 | 1 | 2 | yes | — |
| 181 | C2×#624 | C23 | 1 | 2 | yes | — |
| 182 | C2×D3×Dic3 | — | 4 | 2 | no | — |
| 183 | C2×D3×Dic3 | C23 | 1 | 2 | yes | — |
| 184 | C2×D3×Dic3 | C23 | 1 | 2 | yes | — |
| 185 | C2×D3×Dic3 | C23 | 1 | 2 | yes | — |
| 186 | C2×D3×Dic3 | C23 | 1 | 2 | yes | — |
| 187 | #3796 | — | 4 | 4 | no | — |
| 188 | #3796 | — | 4 | 2 | no | — |
| 189 | C32×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 190 | C32×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 191 | C32×C22⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 192 | #3757 | C23 | 1 | 1 | yes | characteristic |
| 193 | #3752 | C23 | 1 | 2 | yes | — |
| 194 | #3752 | C23 | 1 | 2 | yes | — |
| 195 | #3752 | C23 | 1 | 2 | yes | — |
| 196 | #3750 | C23 | 1 | 2 | yes | — |
| 197 | #3750 | C23 | 1 | 2 | yes | — |
| 198 | C4×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 199 | C3×#217 | C23 | 1 | 2 | yes | — |
| 200 | C3×#217 | C23 | 1 | 1 | yes | characteristic |
| 201 | C3×#217 | C23 | 1 | 2 | yes | — |
| 202 | C3×#217 | C23 | 1 | 2 | yes | — |
| 203 | C3×#217 | C23 | 1 | 1 | yes | characteristic |
| 204 | C3×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 205 | C3×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 206 | C3×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 207 | C3×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 208 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 209 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 210 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 211 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 212 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 213 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 214 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 215 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 216 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 217 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 218 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 219 | C3×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 220 | #3724 | C23 | 1 | 2 | yes | — |
| 221 | #3724 | C23 | 1 | 2 | yes | — |
| 222 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 223 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 224 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 225 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 226 | #3722 | C23 | 1 | 2 | yes | — |
| 227 | #3722 | C23 | 1 | 2 | yes | — |
| 228 | #3722 | C23 | 1 | 2 | yes | — |
| 229 | #3722 | C23 | 1 | 2 | yes | — |
| 230 | #3722 | C23 | 1 | 2 | yes | — |
| 231 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 232 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 233 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 234 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 235 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 236 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 237 | Dic32 | C23 | 1 | 2 | yes | — |
| 238 | Dic32 | C23 | 1 | 2 | yes | — |
| 239 | Dic32 | C23 | 1 | 2 | yes | — |
| 240 | #3529 | — | 9 | 1 | no | Sylow |
| 241 | C23×Dic3 | — | 3 | 1 | no | — |
| 242 | C2×#239 | — | 3 | 1 | no | — |
| 243 | C2×#239 | — | 3 | 2 | no | — |
| 244 | C2×#237 | — | 3 | 1 | no | — |
| 245 | C2×#237 | — | 3 | 1 | no | — |
| 246 | C2×#237 | — | 3 | 2 | no | — |
| 247 | C2×#237 | — | 3 | 1 | no | — |
| 248 | C2×#237 | — | 6 | 1 | no | — |
| 249 | C22×C4×D3 | — | 3 | 1 | no | — |
| 250 | C22×C4×D3 | — | 3 | 1 | no | — |
| 251 | C22×C4×D3 | — | 3 | 1 | no | — |
| 252 | C22×C4×D3 | — | 6 | 1 | no | — |
| 253 | C3×C4⋊Q8 | — | 3 | 2 | no | — |
| 254 | C3×#127 | — | 3 | 1 | no | — |
| 255 | C3×#126 | — | 3 | 2 | no | — |
| 256 | C3×#126 | — | 3 | 2 | no | — |
| 257 | C3×#126 | — | 3 | 2 | no | — |
| 258 | C3×#125 | — | 3 | 2 | no | — |
| 259 | C3×#124 | — | 3 | 1 | no | — |
| 260 | C3×#123 | — | 2 | 1 | no | — |
| 261 | C3×#123 | — | 3 | 1 | no | — |
| 262 | C3×#123 | — | 3 | 2 | no | — |
| 263 | C3×#123 | C2×D3 | 1 | 1 | yes | characteristic |
| 264 | C3×#123 | C2×D3 | 1 | 1 | yes | characteristic |
| 265 | C3×C22⋊Q8 | — | 3 | 2 | no | — |
| 266 | C3×C22⋊Q8 | — | 3 | 2 | no | — |
| 267 | C3×#121 | — | 3 | 2 | no | — |
| 268 | C3×#121 | — | 3 | 2 | no | — |
| 269 | C3×#121 | — | 3 | 2 | no | — |
| 270 | C3×#120 | — | 3 | 1 | no | — |
| 271 | C3×#120 | — | 3 | 2 | no | — |
| 272 | #953 | — | 3 | 2 | no | — |
| 273 | #953 | — | 3 | 1 | no | — |
| 274 | #947 | — | 3 | 2 | no | — |
| 275 | #947 | — | 3 | 2 | no | — |
| 276 | #946 | — | 3 | 2 | no | — |
| 277 | #946 | — | 3 | 2 | no | — |
| 278 | #944 | — | 3 | 1 | no | — |
| 279 | #940 | — | 3 | 2 | no | — |
| 280 | #940 | C2×D3 | 1 | 1 | yes | characteristic |
| 281 | #939 | — | 3 | 2 | no | — |
| 282 | #939 | — | 3 | 2 | no | — |
| 283 | #939 | — | 3 | 2 | no | — |
| 284 | #939 | — | 3 | 2 | no | — |
| 285 | #939 | — | 3 | 2 | no | — |
| 286 | #939 | — | 3 | 2 | no | — |
| 287 | #938 | — | 3 | 2 | no | — |
| 288 | #938 | — | 3 | 2 | no | — |
| 289 | #938 | — | 3 | 2 | no | — |
| 290 | #937 | — | 3 | 1 | no | — |
| 291 | #937 | — | 3 | 1 | no | — |
| 292 | #937 | — | 3 | 2 | no | — |
| 293 | #937 | — | 3 | 2 | no | — |
| 294 | #937 | — | 6 | 1 | no | — |
| 295 | #937 | C2×D3 | 1 | 1 | yes | characteristic |
| 296 | #936 | — | 3 | 2 | no | — |
| 297 | #936 | — | 3 | 1 | no | — |
| 298 | #936 | C2×D3 | 1 | 1 | yes | characteristic |
| 299 | #935 | — | 3 | 2 | no | — |
| 300 | #935 | — | 3 | 2 | no | — |
| 301 | #935 | — | 3 | 2 | no | — |
| 302 | #935 | C2×D3 | 1 | 1 | yes | characteristic |
| 303 | D4×Dic3 | — | 3 | 2 | no | — |
| 304 | D4×Dic3 | — | 3 | 2 | no | — |
| 305 | D4×Dic3 | — | 3 | 2 | no | — |
| 306 | D4×Dic3 | — | 3 | 2 | no | — |
| 307 | #930 | — | 3 | 2 | no | — |
| 308 | #930 | — | 3 | 2 | no | — |
| 309 | #930 | C2×D3 | 1 | 2 | yes | — |
| 310 | #929 | — | 3 | 1 | no | — |
| 311 | #929 | — | 3 | 1 | no | — |
| 312 | #929 | — | 3 | 1 | no | — |
| 313 | #929 | — | 3 | 2 | no | — |
| 314 | #929 | — | 6 | 1 | no | — |
| 315 | #924 | — | 3 | 2 | no | — |
| 316 | #924 | C2×D3 | 1 | 2 | yes | complemented |
| 317 | C2×C4×Dic3 | — | 3 | 2 | no | — |
| 318 | #898 | — | 3 | 2 | no | — |
| 319 | #898 | — | 3 | 2 | no | — |
| 320 | #898 | C2×D3 | 1 | 2 | yes | complemented |
| 321 | #897 | — | 3 | 2 | no | — |
| 322 | #897 | — | 3 | 2 | no | — |
| 323 | #896 | — | 3 | 2 | no | — |
| 324 | #896 | — | 3 | 2 | no | — |
| 325 | #896 | — | 3 | 2 | no | — |
| 326 | #896 | — | 3 | 2 | no | — |
| 327 | #896 | — | 3 | 2 | no | — |
| 328 | #896 | — | 3 | 2 | no | — |
| 329 | #896 | — | 6 | 2 | no | — |
| 330 | #895 | — | 3 | 2 | no | — |
| 331 | #895 | — | 3 | 2 | no | — |
| 332 | #895 | — | 3 | 2 | no | — |
| 333 | #895 | — | 3 | 2 | no | — |
| 334 | #895 | — | 3 | 2 | no | — |
| 335 | #895 | — | 3 | 2 | no | — |
| 336 | #895 | C2×D3 | 1 | 2 | yes | complemented |
| 337 | #894 | — | 3 | 2 | no | — |
| 338 | #894 | — | 3 | 2 | no | — |
| 339 | #894 | — | 3 | 2 | no | — |
| 340 | #894 | — | 3 | 2 | no | — |
| 341 | #894 | — | 3 | 2 | no | — |
| 342 | #894 | — | 3 | 2 | no | — |
| 343 | #894 | — | 3 | 2 | no | — |
| 344 | #894 | — | 3 | 2 | no | — |
| 345 | #894 | — | 3 | 2 | no | — |
| 346 | #893 | — | 3 | 2 | no | — |
| 347 | #893 | — | 3 | 2 | no | — |
| 348 | #893 | — | 3 | 2 | no | — |
| 349 | #893 | — | 3 | 2 | no | — |
| 350 | #893 | — | 3 | 2 | no | — |
| 351 | #893 | — | 3 | 2 | no | — |
| 352 | #893 | — | 6 | 2 | no | — |
| 353 | #892 | — | 3 | 2 | no | — |
| 354 | #892 | — | 3 | 2 | no | — |
| 355 | #892 | — | 3 | 2 | no | — |
| 356 | #890 | — | 3 | 2 | no | — |
| 357 | #889 | — | 3 | 2 | no | — |
| 358 | #889 | — | 3 | 2 | no | — |
| 359 | #889 | — | 3 | 2 | no | — |
| 360 | #889 | C2×D3 | 1 | 2 | yes | complemented |
| 361 | #888 | C2×D3 | 1 | 2 | yes | complemented |
| 362 | #887 | — | 3 | 2 | no | — |
| 363 | #887 | — | 3 | 2 | no | — |
| 364 | #886 | — | 3 | 1 | no | — |
| 365 | #886 | — | 3 | 2 | no | — |
| 366 | #885 | — | 3 | 2 | no | — |
| 367 | #885 | — | 3 | 2 | no | — |
| 368 | #885 | — | 3 | 2 | no | — |
| 369 | #885 | — | 3 | 2 | no | — |
| 370 | #885 | — | 3 | 2 | no | — |
| 371 | #885 | — | 3 | 2 | no | — |
| 372 | #884 | — | 3 | 2 | no | — |
| 373 | #884 | — | 3 | 2 | no | — |
| 374 | #884 | — | 3 | 2 | no | — |
| 375 | #884 | — | 3 | 2 | no | — |
| 376 | #884 | — | 3 | 2 | no | — |
| 377 | #884 | — | 3 | 2 | no | — |
| 378 | #884 | — | 3 | 2 | no | — |
| 379 | #884 | — | 6 | 2 | no | — |
| 380 | #884 | C2×D3 | 1 | 2 | yes | — |
| 381 | #883 | — | 3 | 2 | no | — |
| 382 | #883 | — | 3 | 2 | no | — |
| 383 | #883 | — | 3 | 2 | no | — |
| 384 | #883 | — | 3 | 2 | no | — |
| 385 | #883 | C2×D3 | 1 | 2 | yes | complemented |
| 386 | #882 | — | 3 | 1 | no | — |
| 387 | #882 | — | 3 | 2 | no | — |
| 388 | #882 | — | 3 | 2 | no | — |
| 389 | #882 | — | 3 | 2 | no | — |
| 390 | #882 | — | 3 | 1 | no | — |
| 391 | #882 | — | 3 | 1 | no | — |
| 392 | #882 | — | 6 | 1 | no | — |
| 393 | #882 | C2×D3 | 1 | 2 | yes | complemented |
| 394 | #67⋊C4 | — | 3 | 2 | no | — |
| 395 | #67⋊C4 | — | 3 | 2 | no | — |
| 396 | #67⋊C4 | — | 3 | 2 | no | — |
| 397 | #67⋊C4 | — | 3 | 2 | no | — |
| 398 | #67⋊C4 | — | 3 | 2 | no | — |
| 399 | #67⋊C4 | — | 3 | 2 | no | — |
| 400 | #67⋊C4 | — | 3 | 2 | no | — |
| 401 | #67⋊C4 | — | 3 | 2 | no | — |
| 402 | #67⋊C4 | — | 6 | 2 | no | — |
| 403 | #879 | — | 3 | 2 | no | — |
| 404 | #879 | C2×D3 | 1 | 2 | yes | complemented |
| 405 | #879 | C2×D3 | 1 | 2 | yes | complemented |
| 406 | #878 | — | 3 | 2 | no | — |
| 407 | #878 | — | 3 | 2 | no | — |
| 408 | #878 | — | 3 | 2 | no | — |
| 409 | #878 | C2×D3 | 1 | 2 | yes | complemented |
| 410 | #877 | — | 3 | 1 | no | — |
| 411 | #877 | — | 3 | 1 | no | — |
| 412 | #877 | — | 3 | 1 | no | — |
| 413 | #877 | — | 3 | 1 | no | — |
| 414 | #877 | — | 3 | 2 | no | — |
| 415 | #877 | — | 6 | 1 | no | — |
| 416 | #876 | — | 3 | 2 | no | — |
| 417 | #876 | — | 3 | 2 | no | — |
| 418 | #876 | — | 3 | 2 | no | — |
| 419 | #875 | — | 3 | 1 | no | — |
| 420 | #875 | — | 3 | 2 | no | — |
| 421 | #874 | — | 3 | 2 | no | — |
| 422 | C42×D3 | — | 3 | 2 | no | — |
| 423 | C42×D3 | — | 3 | 1 | no | — |
| 424 | C42×D3 | — | 3 | 1 | no | — |
| 425 | #869 | — | 3 | 1 | no | — |
| 426 | C23×C32 | C24 | 1 | 1 | yes | characteristic |
| 427 | C23×C32 | C24 | 1 | 1 | yes | characteristic |
| 428 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 429 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 430 | C22×C3⋊D3 | C24 | 1 | 2 | yes | — |
| 431 | C22×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 432 | C22×C3×D3 | — | 4 | 2 | no | — |
| 433 | C22×C3×D3 | — | 4 | 1 | no | — |
| 434 | C22×C3×D3 | C24 | 1 | 2 | yes | — |
| 435 | C22×C3×D3 | C24 | 1 | 2 | yes | — |
| 436 | C32×D4 | — | 4 | 1 | no | — |
| 437 | C2×C32×C4 | — | 4 | 1 | no | — |
| 438 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 439 | C2×C32×C4 | C24 | 1 | 2 | yes | — |
| 440 | C2×C32×C4 | C24 | 1 | 2 | yes | — |
| 441 | #638 | — | 4 | 1 | no | — |
| 442 | #638 | — | 4 | 1 | no | — |
| 443 | #638 | — | 4 | 2 | no | — |
| 444 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 445 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 446 | C2×C3⋊Dic3 | C24 | 1 | 2 | yes | — |
| 447 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 448 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 449 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 450 | C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 451 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 452 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 453 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 454 | #634 | — | 4 | 1 | no | — |
| 455 | C3×#67 | — | 4 | 2 | no | — |
| 456 | C3×#67 | — | 4 | 2 | no | — |
| 457 | C3×#67 | — | 4 | 2 | no | — |
| 458 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 459 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 460 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 461 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 462 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 463 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 464 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 465 | C3×D12 | — | 4 | 1 | no | — |
| 466 | C3×D12 | — | 4 | 2 | no | — |
| 467 | C3×D12 | — | 4 | 2 | no | — |
| 468 | C3×C4×D3 | — | 4 | 2 | no | — |
| 469 | C3×Dic6 | — | 4 | 2 | no | — |
| 470 | C3×Dic6 | — | 4 | 1 | no | — |
| 471 | #627 | — | 4 | 2 | no | — |
| 472 | #626 | — | 4 | 2 | no | — |
| 473 | #626 | — | 4 | 2 | no | — |
| 474 | #626 | — | 4 | 2 | no | — |
| 475 | #626 | — | 4 | 2 | no | — |
| 476 | #626 | — | 4 | 2 | no | — |
| 477 | #626 | — | 4 | 2 | no | — |
| 478 | #624 | — | 4 | 2 | no | — |
| 479 | D3×Dic3 | — | 2 | 4 | no | — |
| 480 | D3×Dic3 | — | 2 | 4 | no | — |
| 481 | D3×Dic3 | — | 4 | 2 | no | — |
| 482 | D3×Dic3 | — | 4 | 2 | no | — |
| 483 | #563 | — | 3 | 1 | no | — |
| 484 | #563 | — | 9 | 2 | no | — |
| 485 | #562 | — | 9 | 2 | no | — |
| 486 | #562 | — | 9 | 2 | no | — |
| 487 | #562 | — | 9 | 2 | no | — |
| 488 | H(3,𝔽4) | — | 9 | 1 | no | — |
| 489 | #560 | — | 3 | 1 | no | — |
| 490 | #560 | — | 9 | 2 | no | — |
| 491 | #560 | — | 9 | 2 | no | — |
| 492 | #560 | — | 9 | 1 | no | — |
| 493 | #532 | — | 9 | 2 | no | — |
| 494 | #532 | — | 9 | 1 | no | — |
| 495 | #529 | — | 9 | 2 | no | — |
| 496 | #529 | — | 9 | 2 | no | — |
| 497 | #529 | — | 9 | 2 | no | — |
| 498 | #525 | — | 9 | 2 | no | — |
| 499 | #525 | — | 9 | 1 | no | — |
| 500 | #525 | — | 9 | 2 | no | — |
| 501 | #525 | — | 9 | 1 | no | — |
| 502 | C24×C3 | — | 3 | 1 | no | — |
| 503 | C23×D3 | — | 3 | 1 | no | — |
| 504 | C23×D3 | — | 3 | 1 | no | — |
| 505 | C23×D3 | — | 6 | 1 | no | — |
| 506 | C23×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 507 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 508 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 509 | C2×C3×D4 | — | 2 | 1 | no | — |
| 510 | C2×C3×D4 | — | 3 | 2 | no | — |
| 511 | C2×C3×D4 | — | 3 | 2 | no | — |
| 512 | C2×C3×D4 | — | 3 | 2 | no | — |
| 513 | C2×C3×D4 | — | 3 | 2 | no | — |
| 514 | C2×C3×D4 | — | 3 | 2 | no | — |
| 515 | C2×C3×D4 | — | 3 | 1 | no | — |
| 516 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 517 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 518 | C22×C3×C4 | — | 2 | 1 | no | — |
| 519 | C22×C3×C4 | — | 3 | 1 | no | — |
| 520 | C22×C3×C4 | — | 3 | 2 | no | — |
| 521 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 522 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 523 | C2×#67 | — | 3 | 2 | no | — |
| 524 | C2×#67 | — | 3 | 2 | no | — |
| 525 | C2×#67 | — | 3 | 1 | no | — |
| 526 | C2×#67 | — | 3 | 1 | no | — |
| 527 | C2×#67 | — | 3 | 1 | no | — |
| 528 | C2×#67 | — | 3 | 1 | no | — |
| 529 | C2×#67 | — | 3 | 2 | no | — |
| 530 | C2×#67 | — | 3 | 2 | no | — |
| 531 | C2×#67 | — | 3 | 2 | no | — |
| 532 | C2×#67 | — | 3 | 2 | no | — |
| 533 | C2×#67 | — | 3 | 2 | no | — |
| 534 | C2×#67 | — | 3 | 2 | no | — |
| 535 | C2×#67 | — | 6 | 2 | no | — |
| 536 | C2×#67 | — | 6 | 1 | no | — |
| 537 | C2×#67 | — | 6 | 1 | no | — |
| 538 | C2×#67 | C22×D3 | 1 | 2 | yes | — |
| 539 | C2×#67 | C22×D3 | 1 | 2 | yes | — |
| 540 | C2×#67 | C22×D3 | 1 | 2 | yes | — |
| 541 | C22×Dic3 | — | 3 | 1 | no | — |
| 542 | C22×Dic3 | — | 3 | 1 | no | — |
| 543 | C22×Dic3 | — | 3 | 1 | no | — |
| 544 | C22×Dic3 | — | 3 | 1 | no | — |
| 545 | C22×Dic3 | — | 3 | 2 | no | — |
| 546 | C22×Dic3 | — | 3 | 2 | no | — |
| 547 | C22×Dic3 | — | 3 | 2 | no | — |
| 548 | C22×Dic3 | — | 3 | 2 | no | — |
| 549 | C22×Dic3 | — | 6 | 1 | no | — |
| 550 | C22×Dic3 | — | 6 | 1 | no | — |
| 551 | C22×Dic3 | — | 12 | 2 | no | — |
| 552 | C22×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 553 | #239 | — | 12 | 4 | no | — |
| 554 | #239 | — | 12 | 2 | no | — |
| 555 | #237 | — | 12 | 4 | no | — |
| 556 | #237 | — | 12 | 2 | no | — |
| 557 | #237 | — | 12 | 2 | no | — |
| 558 | #237 | — | 12 | 2 | no | — |
| 559 | #237 | — | 12 | 4 | no | — |
| 560 | C2×D12 | — | 3 | 2 | no | — |
| 561 | C2×D12 | — | 3 | 2 | no | — |
| 562 | C2×D12 | — | 3 | 2 | no | — |
| 563 | C2×D12 | — | 3 | 2 | no | — |
| 564 | C2×D12 | — | 3 | 2 | no | — |
| 565 | C2×D12 | — | 3 | 2 | no | — |
| 566 | C2×D12 | — | 3 | 2 | no | — |
| 567 | C2×D12 | — | 3 | 2 | no | — |
| 568 | C2×D12 | — | 6 | 2 | no | — |
| 569 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 570 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 571 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 572 | C2×C4×D3 | — | 3 | 2 | no | — |
| 573 | C2×C4×D3 | — | 3 | 2 | no | — |
| 574 | C2×C4×D3 | — | 3 | 1 | no | — |
| 575 | C2×C4×D3 | — | 3 | 1 | no | — |
| 576 | C2×C4×D3 | — | 3 | 2 | no | — |
| 577 | C2×C4×D3 | — | 3 | 2 | no | — |
| 578 | C2×C4×D3 | — | 3 | 2 | no | — |
| 579 | C2×C4×D3 | — | 3 | 2 | no | — |
| 580 | C2×C4×D3 | — | 3 | 2 | no | — |
| 581 | C2×C4×D3 | — | 3 | 2 | no | — |
| 582 | C2×C4×D3 | — | 3 | 2 | no | — |
| 583 | C2×C4×D3 | — | 3 | 2 | no | — |
| 584 | C2×C4×D3 | — | 6 | 2 | no | — |
| 585 | C2×C4×D3 | — | 6 | 2 | no | — |
| 586 | C2×C4×D3 | — | 6 | 1 | no | — |
| 587 | C2×C4×D3 | — | 12 | 2 | no | — |
| 588 | C2×C4×D3 | — | 12 | 2 | no | — |
| 589 | C2×C4×D3 | — | 12 | 2 | no | — |
| 590 | C2×C4×D3 | — | 12 | 4 | no | — |
| 591 | C2×C4×D3 | C22×D3 | 1 | 2 | yes | — |
| 592 | C2×Dic6 | — | 3 | 1 | no | — |
| 593 | C2×Dic6 | — | 3 | 1 | no | — |
| 594 | C2×Dic6 | — | 3 | 2 | no | — |
| 595 | C2×Dic6 | — | 3 | 2 | no | — |
| 596 | C2×Dic6 | — | 6 | 1 | no | — |
| 597 | C2×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 598 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 599 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 600 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 601 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 602 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 603 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 604 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 605 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 606 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 607 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 608 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 609 | C3×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 610 | C3×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 611 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 612 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 613 | C3×C22⋊C4 | — | 3 | 1 | no | — |
| 614 | C3×C22⋊C4 | — | 3 | 1 | no | — |
| 615 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 616 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 617 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 618 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 619 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 620 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 621 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 622 | C3×C22⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 623 | C3×C22⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 624 | C3×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 625 | C3×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 626 | C3×C42 | — | 3 | 1 | no | — |
| 627 | C3×C42 | — | 3 | 2 | no | — |
| 628 | C3×C42 | — | 3 | 1 | no | — |
| 629 | #217 | — | 3 | 1 | no | — |
| 630 | #217 | — | 3 | 1 | no | — |
| 631 | #217 | — | 3 | 2 | no | — |
| 632 | #217 | — | 3 | 2 | no | — |
| 633 | #217 | — | 3 | 2 | no | — |
| 634 | #217 | — | 3 | 2 | no | — |
| 635 | #217 | — | 3 | 2 | no | — |
| 636 | #217 | — | 3 | 2 | no | — |
| 637 | #217 | — | 6 | 1 | no | — |
| 638 | #217 | C22×D3 | 1 | 1 | yes | characteristic |
| 639 | #217 | C22×D3 | 1 | 1 | yes | characteristic |
| 640 | #217 | C22×D3 | 1 | 2 | yes | — |
| 641 | #217 | C22×D3 | 1 | 2 | yes | — |
| 642 | #217 | C22×D3 | 1 | 2 | yes | — |
| 643 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 644 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 645 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 646 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 647 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 648 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 649 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 650 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 651 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 652 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 653 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 654 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 655 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 656 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 657 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 658 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 659 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 660 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 661 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 662 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 663 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 664 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 665 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 666 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 667 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 668 | (C2×D3)⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 669 | (C2×D3)⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 670 | (C2×D3)⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 671 | (C2×D3)⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 672 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 673 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 674 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 675 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 676 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 677 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 678 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 679 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 680 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 681 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 682 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 683 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 684 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 685 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 686 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 687 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 688 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 689 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 690 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 691 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 692 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 693 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 694 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 695 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 696 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 697 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 698 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 699 | C4×Dic3 | — | 3 | 2 | no | — |
| 700 | C4×Dic3 | — | 3 | 2 | no | — |
| 701 | C4×Dic3 | — | 3 | 2 | no | — |
| 702 | C4×Dic3 | — | 3 | 2 | no | — |
| 703 | C4×Dic3 | — | 3 | 2 | no | — |
| 704 | C4×Dic3 | — | 3 | 2 | no | — |
| 705 | C4×Dic3 | — | 3 | 2 | no | — |
| 706 | C4×Dic3 | — | 3 | 2 | no | — |
| 707 | C4×Dic3 | — | 6 | 2 | no | — |
| 708 | C4×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 709 | C4×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 710 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 711 | C22×C32 | — | 2 | 1 | no | — |
| 712 | C22×C32 | — | 2 | 1 | no | — |
| 713 | C22×C32 | — | 2 | 2 | no | — |
| 714 | C22×C32 | — | 2 | 2 | no | — |
| 715 | C22×C32 | C25 | 1 | 1 | yes | characteristic |
| 716 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 717 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 718 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 719 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 720 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 721 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 722 | C2×C3×D3 | — | 2 | 2 | no | — |
| 723 | C2×C3×D3 | — | 2 | 2 | no | — |
| 724 | C2×C3×D3 | — | 2 | 2 | no | — |
| 725 | C2×C3×D3 | — | 2 | 2 | no | — |
| 726 | C2×C3×D3 | — | 2 | 2 | no | — |
| 727 | C2×C3×D3 | — | 2 | 2 | no | — |
| 728 | C2×C3×D3 | — | 4 | 4 | no | — |
| 729 | C32×C4 | — | 2 | 1 | no | — |
| 730 | C32×C4 | — | 2 | 2 | no | — |
| 731 | C32×C4 | — | 2 | 2 | no | — |
| 732 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 733 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 734 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 735 | C3⋊Dic3 | H(5,𝔽2) | 1 | 2 | yes | — |
| 736 | C3×Dic3 | — | 2 | 2 | no | — |
| 737 | C3×Dic3 | — | 2 | 2 | no | — |
| 738 | C3×Dic3 | — | 2 | 2 | no | — |
| 739 | C3×Dic3 | — | 2 | 2 | no | — |
| 740 | C3×Dic3 | — | 2 | 2 | no | — |
| 741 | C3×Dic3 | — | 2 | 2 | no | — |
| 742 | C2×#41 | — | 9 | 2 | no | — |
| 743 | C2×#41 | — | 9 | 1 | no | — |
| 744 | C2×#41 | — | 9 | 1 | no | — |
| 745 | C23×C4 | — | 9 | 1 | no | — |
| 746 | C23×C4 | — | 9 | 1 | no | — |
| 747 | C4⋊Q8 | — | 3 | 2 | no | — |
| 748 | C4⋊Q8 | — | 9 | 1 | no | — |
| 749 | #127 | — | 3 | 1 | no | — |
| 750 | #127 | — | 9 | 2 | no | — |
| 751 | #126 | — | 3 | 2 | no | — |
| 752 | #126 | — | 3 | 2 | no | — |
| 753 | #126 | — | 3 | 2 | no | — |
| 754 | #126 | — | 9 | 2 | no | — |
| 755 | #126 | — | 9 | 2 | no | — |
| 756 | #126 | — | 9 | 2 | no | — |
| 757 | #125 | — | 3 | 2 | no | — |
| 758 | #125 | — | 9 | 2 | no | — |
| 759 | #125 | — | 9 | 2 | no | — |
| 760 | #124 | — | 3 | 1 | no | — |
| 761 | #124 | — | 9 | 2 | no | — |
| 762 | #124 | — | 9 | 1 | no | — |
| 763 | #124 | — | 9 | 2 | no | — |
| 764 | #124 | — | 9 | 2 | no | — |
| 765 | #124 | — | 9 | 2 | no | — |
| 766 | #124 | — | 9 | 2 | no | — |
| 767 | #123 | — | 3 | 1 | no | — |
| 768 | #123 | — | 3 | 2 | no | — |
| 769 | #123 | — | 9 | 2 | no | — |
| 770 | #123 | — | 9 | 2 | no | — |
| 771 | #123 | — | 9 | 2 | no | — |
| 772 | #123 | — | 9 | 2 | no | — |
| 773 | #123 | — | 9 | 1 | no | — |
| 774 | #123 | — | 9 | 2 | no | — |
| 775 | #123 | — | 9 | 2 | no | — |
| 776 | #123 | — | 9 | 2 | no | — |
| 777 | #123 | — | 9 | 2 | no | — |
| 778 | #123 | — | 9 | 2 | no | — |
| 779 | #123 | — | 9 | 1 | no | — |
| 780 | #123 | D32 | 1 | 1 | yes | characteristic |
| 781 | C22⋊Q8 | — | 3 | 2 | no | — |
| 782 | C22⋊Q8 | — | 3 | 2 | no | — |
| 783 | C22⋊Q8 | — | 9 | 2 | no | — |
| 784 | C22⋊Q8 | — | 9 | 2 | no | — |
| 785 | C22⋊Q8 | — | 9 | 2 | no | — |
| 786 | C22⋊Q8 | — | 9 | 2 | no | — |
| 787 | C22⋊Q8 | — | 9 | 2 | no | — |
| 788 | C22⋊Q8 | — | 9 | 2 | no | — |
| 789 | C22⋊Q8 | — | 9 | 2 | no | — |
| 790 | #121 | — | 3 | 2 | no | — |
| 791 | #121 | — | 3 | 2 | no | — |
| 792 | #121 | — | 3 | 2 | no | — |
| 793 | #121 | — | 9 | 2 | no | — |
| 794 | #121 | — | 9 | 2 | no | — |
| 795 | #121 | — | 9 | 2 | no | — |
| 796 | #121 | — | 9 | 2 | no | — |
| 797 | #121 | — | 9 | 2 | no | — |
| 798 | #121 | — | 9 | 2 | no | — |
| 799 | #121 | — | 9 | 2 | no | — |
| 800 | #121 | — | 9 | 2 | no | — |
| 801 | #121 | — | 9 | 2 | no | — |
| 802 | #121 | — | 9 | 2 | no | — |
| 803 | #121 | — | 9 | 2 | no | — |
| 804 | #121 | — | 9 | 2 | no | — |
| 805 | #120 | — | 3 | 1 | no | — |
| 806 | #120 | — | 3 | 2 | no | — |
| 807 | #120 | — | 9 | 2 | no | — |
| 808 | #120 | — | 9 | 2 | no | — |
| 809 | #120 | — | 9 | 1 | no | — |
| 810 | #120 | — | 9 | 2 | no | — |
| 811 | #120 | — | 9 | 1 | no | — |
| 812 | #120 | — | 9 | 1 | no | — |
| 813 | C4×Q8 | — | 9 | 2 | no | — |
| 814 | C4×D4 | — | 9 | 2 | no | — |
| 815 | C4×D4 | — | 9 | 2 | no | — |
| 816 | C4×D4 | — | 9 | 2 | no | — |
| 817 | C4×D4 | — | 9 | 2 | no | — |
| 818 | C4×D4 | — | 9 | 2 | no | — |
| 819 | C4×D4 | — | 9 | 2 | no | — |
| 820 | C4×D4 | — | 9 | 2 | no | — |
| 821 | C4×D4 | — | 9 | 2 | no | — |
| 822 | C4×D4 | — | 9 | 2 | no | — |
| 823 | #117 | — | 9 | 1 | no | — |
| 824 | #117 | — | 9 | 2 | no | — |
| 825 | #117 | — | 9 | 2 | no | — |
| 826 | #117 | — | 9 | 1 | no | — |
| 827 | C2×C42 | — | 9 | 1 | no | — |
| 828 | C2×C42 | — | 9 | 2 | no | — |
| 829 | C23×C3 | — | 2 | 1 | no | — |
| 830 | C23×C3 | — | 2 | 1 | no | — |
| 831 | C23×C3 | — | 3 | 2 | no | — |
| 832 | C23×C3 | — | 3 | 2 | no | — |
| 833 | C23×C3 | — | 12 | 1 | no | — |
| 834 | C23×C3 | — | 12 | 2 | no | — |
| 835 | C23×C3 | C23×D3 | 1 | 1 | yes | characteristic |
| 836 | C23×C3 | C23×D3 | 1 | 1 | yes | characteristic |
| 837 | C23×C3 | C23×D3 | 1 | 1 | yes | characteristic |
| 838 | C23×C3 | C23×D3 | 1 | 1 | yes | characteristic |
| 839 | C22×D3 | — | 3 | 2 | no | — |
| 840 | C22×D3 | — | 3 | 2 | no | — |
| 841 | C22×D3 | — | 3 | 1 | no | — |
| 842 | C22×D3 | — | 3 | 1 | no | — |
| 843 | C22×D3 | — | 4 | 1 | no | — |
| 844 | C22×D3 | — | 4 | 2 | no | — |
| 845 | C22×D3 | — | 6 | 2 | no | — |
| 846 | C22×D3 | — | 6 | 1 | no | — |
| 847 | C22×D3 | — | 12 | 1 | no | — |
| 848 | C22×D3 | — | 12 | 1 | no | — |
| 849 | C22×D3 | — | 12 | 2 | no | — |
| 850 | C22×D3 | — | 12 | 2 | no | — |
| 851 | C22×D3 | — | 12 | 4 | no | — |
| 852 | C22×D3 | — | 12 | 2 | no | — |
| 853 | C22×D3 | C23×D3 | 1 | 2 | yes | — |
| 854 | C22×D3 | C23×D3 | 1 | 2 | yes | — |
| 855 | C3×Q8 | — | 12 | 1 | no | — |
| 856 | C3×Q8 | — | 12 | 2 | no | — |
| 857 | C3×D4 | — | 4 | 1 | no | — |
| 858 | C3×D4 | — | 4 | 1 | no | — |
| 859 | C3×D4 | — | 4 | 2 | no | — |
| 860 | C3×D4 | — | 12 | 1 | no | — |
| 861 | C3×D4 | — | 12 | 2 | no | — |
| 862 | C3×D4 | — | 12 | 2 | no | — |
| 863 | C3×D4 | — | 12 | 2 | no | — |
| 864 | C3×D4 | — | 12 | 2 | no | — |
| 865 | C3×D4 | — | 12 | 2 | no | — |
| 866 | C2×C3×C4 | — | 2 | 2 | no | — |
| 867 | C2×C3×C4 | — | 2 | 2 | no | — |
| 868 | C2×C3×C4 | — | 2 | 1 | no | — |
| 869 | C2×C3×C4 | — | 3 | 2 | no | — |
| 870 | C2×C3×C4 | — | 3 | 2 | no | — |
| 871 | C2×C3×C4 | — | 3 | 2 | no | — |
| 872 | C2×C3×C4 | — | 3 | 2 | no | — |
| 873 | C2×C3×C4 | — | 3 | 2 | no | — |
| 874 | C2×C3×C4 | — | 3 | 2 | no | — |
| 875 | C2×C3×C4 | — | 4 | 1 | no | — |
| 876 | C2×C3×C4 | — | 4 | 1 | no | — |
| 877 | C2×C3×C4 | — | 4 | 2 | no | — |
| 878 | C2×C3×C4 | — | 12 | 2 | no | — |
| 879 | C2×C3×C4 | — | 12 | 1 | no | — |
| 880 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 881 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 882 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 883 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 884 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 885 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 886 | #67 | — | 4 | 2 | no | — |
| 887 | #67 | — | 4 | 2 | no | — |
| 888 | #67 | — | 4 | 2 | no | — |
| 889 | #67 | — | 12 | 2 | no | — |
| 890 | #67 | — | 12 | 2 | no | — |
| 891 | #67 | — | 12 | 2 | no | — |
| 892 | #67 | — | 12 | 2 | no | — |
| 893 | #67 | — | 12 | 2 | no | — |
| 894 | #67 | — | 12 | 2 | no | — |
| 895 | #67 | — | 12 | 1 | no | — |
| 896 | #67 | — | 12 | 1 | no | — |
| 897 | #67 | — | 12 | 1 | no | — |
| 898 | #67 | — | 12 | 1 | no | — |
| 899 | #67 | — | 12 | 2 | no | — |
| 900 | #67 | — | 12 | 2 | no | — |
| 901 | #67 | — | 12 | 2 | no | — |
| 902 | #67 | — | 12 | 4 | no | — |
| 903 | #67 | — | 12 | 2 | no | — |
| 904 | C2×Dic3 | — | 3 | 1 | no | — |
| 905 | C2×Dic3 | — | 3 | 1 | no | — |
| 906 | C2×Dic3 | — | 3 | 2 | no | — |
| 907 | C2×Dic3 | — | 3 | 2 | no | — |
| 908 | C2×Dic3 | — | 3 | 1 | no | — |
| 909 | C2×Dic3 | — | 3 | 1 | no | — |
| 910 | C2×Dic3 | — | 3 | 1 | no | — |
| 911 | C2×Dic3 | — | 3 | 1 | no | — |
| 912 | C2×Dic3 | — | 4 | 1 | no | — |
| 913 | C2×Dic3 | — | 6 | 1 | no | — |
| 914 | C2×Dic3 | — | 6 | 1 | no | — |
| 915 | C2×Dic3 | — | 6 | 2 | no | — |
| 916 | C2×Dic3 | — | 6 | 1 | no | — |
| 917 | C2×Dic3 | — | 6 | 4 | no | — |
| 918 | C2×Dic3 | — | 6 | 4 | no | — |
| 919 | C2×Dic3 | — | 6 | 2 | no | — |
| 920 | C2×Dic3 | — | 6 | 2 | no | — |
| 921 | C2×Dic3 | — | 6 | 2 | no | — |
| 922 | C2×Dic3 | — | 6 | 2 | no | — |
| 923 | C2×Dic3 | — | 6 | 4 | no | — |
| 924 | C2×Dic3 | — | 12 | 2 | no | — |
| 925 | C2×Dic3 | — | 12 | 2 | no | — |
| 926 | C2×Dic3 | — | 12 | 2 | no | — |
| 927 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 928 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 929 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 930 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 931 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 932 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 933 | D12 | — | 4 | 2 | no | — |
| 934 | D12 | — | 4 | 1 | no | — |
| 935 | D12 | — | 4 | 2 | no | — |
| 936 | D12 | — | 12 | 2 | no | — |
| 937 | D12 | — | 12 | 2 | no | — |
| 938 | D12 | — | 12 | 4 | no | — |
| 939 | D12 | — | 12 | 2 | no | — |
| 940 | D12 | — | 12 | 2 | no | — |
| 941 | D12 | — | 12 | 2 | no | — |
| 942 | D12 | — | 12 | 2 | no | — |
| 943 | D12 | — | 12 | 2 | no | — |
| 944 | D12 | — | 12 | 2 | no | — |
| 945 | C4×D3 | — | 4 | 2 | no | — |
| 946 | C4×D3 | — | 6 | 4 | no | — |
| 947 | C4×D3 | — | 6 | 4 | no | — |
| 948 | C4×D3 | — | 6 | 2 | no | — |
| 949 | C4×D3 | — | 6 | 2 | no | — |
| 950 | C4×D3 | — | 6 | 4 | no | — |
| 951 | C4×D3 | — | 6 | 4 | no | — |
| 952 | C4×D3 | — | 12 | 4 | no | — |
| 953 | C4×D3 | — | 12 | 2 | no | — |
| 954 | C4×D3 | — | 12 | 2 | no | — |
| 955 | C4×D3 | — | 12 | 2 | no | — |
| 956 | C4×D3 | — | 12 | 2 | no | — |
| 957 | C4×D3 | — | 12 | 2 | no | — |
| 958 | C4×D3 | — | 12 | 4 | no | — |
| 959 | C4×D3 | — | 12 | 2 | no | — |
| 960 | C4×D3 | — | 12 | 2 | no | — |
| 961 | Dic6 | — | 4 | 1 | no | — |
| 962 | Dic6 | — | 4 | 2 | no | — |
| 963 | Dic6 | — | 12 | 2 | no | — |
| 964 | Dic6 | — | 12 | 2 | no | — |
| 965 | Dic6 | — | 12 | 1 | no | — |
| 966 | Dic6 | — | 12 | 1 | no | — |
| 967 | Dic6 | — | 12 | 2 | no | — |
| 968 | C2×C32 | — | 4 | 1 | no | — |
| 969 | C2×C32 | — | 4 | 1 | no | — |
| 970 | C2×C32 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 971 | C2×C32 | #585 | 1 | 2 | yes | — |
| 972 | C3⋊D3 | — | 4 | 2 | no | — |
| 973 | C3⋊D3 | — | 4 | 1 | no | — |
| 974 | C3×D3 | — | 4 | 2 | no | — |
| 975 | C3×D3 | — | 4 | 2 | no | — |
| 976 | C24 | — | 3 | 1 | no | — |
| 977 | C24 | — | 9 | 1 | no | — |
| 978 | #41 | — | 36 | 2 | no | — |
| 979 | #41 | — | 36 | 4 | no | — |
| 980 | #41 | — | 36 | 2 | no | — |
| 981 | C2×Q8 | — | 3 | 2 | no | — |
| 982 | C2×Q8 | — | 3 | 1 | no | — |
| 983 | C2×Q8 | — | 9 | 2 | no | — |
| 984 | C2×Q8 | — | 9 | 1 | no | — |
| 985 | C2×D4 | — | 3 | 2 | no | — |
| 986 | C2×D4 | — | 3 | 2 | no | — |
| 987 | C2×D4 | — | 3 | 2 | no | — |
| 988 | C2×D4 | — | 3 | 2 | no | — |
| 989 | C2×D4 | — | 3 | 2 | no | — |
| 990 | C2×D4 | — | 3 | 1 | no | — |
| 991 | C2×D4 | — | 9 | 2 | no | — |
| 992 | C2×D4 | — | 9 | 2 | no | — |
| 993 | C2×D4 | — | 9 | 2 | no | — |
| 994 | C2×D4 | — | 9 | 2 | no | — |
| 995 | C2×D4 | — | 9 | 2 | no | — |
| 996 | C2×D4 | — | 9 | 2 | no | — |
| 997 | C2×D4 | — | 9 | 2 | no | — |
| 998 | C2×D4 | — | 9 | 1 | no | — |
| 999 | C2×D4 | — | 9 | 1 | no | — |
| 1000 | C2×D4 | — | 9 | 2 | no | — |
| 1001 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 1002 | C22×C4 | — | 3 | 1 | no | — |
| 1003 | C22×C4 | — | 3 | 2 | no | — |
| 1004 | C22×C4 | — | 9 | 2 | no | — |
| 1005 | C22×C4 | — | 9 | 2 | no | — |
| 1006 | C22×C4 | — | 9 | 2 | no | — |
| 1007 | C22×C4 | — | 9 | 2 | no | — |
| 1008 | C22×C4 | — | 9 | 2 | no | — |
| 1009 | C22×C4 | — | 9 | 1 | no | — |
| 1010 | C22×C4 | — | 9 | 1 | no | — |
| 1011 | C22×C4 | — | 9 | 1 | no | — |
| 1012 | C22×C4 | — | 9 | 2 | no | — |
| 1013 | C22×C4 | — | 9 | 2 | no | — |
| 1014 | C22×C4 | — | 36 | 2 | no | — |
| 1015 | C22×C4 | — | 36 | 2 | no | — |
| 1016 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 1017 | C4⋊C4 | — | 3 | 2 | no | — |
| 1018 | C4⋊C4 | — | 3 | 2 | no | — |
| 1019 | C4⋊C4 | — | 3 | 2 | no | — |
| 1020 | C4⋊C4 | — | 3 | 2 | no | — |
| 1021 | C4⋊C4 | — | 3 | 2 | no | — |
| 1022 | C4⋊C4 | — | 3 | 2 | no | — |
| 1023 | C4⋊C4 | — | 3 | 2 | no | — |
| 1024 | C4⋊C4 | — | 3 | 2 | no | — |
| 1025 | C4⋊C4 | — | 3 | 2 | no | — |
| 1026 | C4⋊C4 | — | 9 | 2 | no | — |
| 1027 | C4⋊C4 | — | 9 | 2 | no | — |
| 1028 | C4⋊C4 | — | 9 | 2 | no | — |
| 1029 | C4⋊C4 | — | 9 | 2 | no | — |
| 1030 | C4⋊C4 | — | 9 | 2 | no | — |
| 1031 | C4⋊C4 | — | 9 | 2 | no | — |
| 1032 | C4⋊C4 | — | 9 | 2 | no | — |
| 1033 | C4⋊C4 | — | 9 | 2 | no | — |
| 1034 | C4⋊C4 | C2×D32 | 1 | 2 | yes | — |
| 1035 | C22⋊C4 | — | 3 | 1 | no | — |
| 1036 | C22⋊C4 | — | 3 | 1 | no | — |
| 1037 | C22⋊C4 | — | 3 | 2 | no | — |
| 1038 | C22⋊C4 | — | 3 | 2 | no | — |
| 1039 | C22⋊C4 | — | 3 | 2 | no | — |
| 1040 | C22⋊C4 | — | 3 | 2 | no | — |
| 1041 | C22⋊C4 | — | 3 | 2 | no | — |
| 1042 | C22⋊C4 | — | 3 | 2 | no | — |
| 1043 | C22⋊C4 | — | 3 | 2 | no | — |
| 1044 | C22⋊C4 | — | 9 | 2 | no | — |
| 1045 | C22⋊C4 | — | 9 | 2 | no | — |
| 1046 | C22⋊C4 | — | 9 | 2 | no | — |
| 1047 | C22⋊C4 | — | 9 | 2 | no | — |
| 1048 | C22⋊C4 | — | 9 | 2 | no | — |
| 1049 | C22⋊C4 | — | 9 | 2 | no | — |
| 1050 | C22⋊C4 | — | 9 | 2 | no | — |
| 1051 | C22⋊C4 | — | 9 | 2 | no | — |
| 1052 | C22⋊C4 | — | 9 | 2 | no | — |
| 1053 | C22⋊C4 | — | 9 | 2 | no | — |
| 1054 | C22⋊C4 | — | 9 | 2 | no | — |
| 1055 | C22⋊C4 | — | 9 | 1 | no | — |
| 1056 | C22⋊C4 | — | 9 | 2 | no | — |
| 1057 | C22⋊C4 | — | 9 | 2 | no | — |
| 1058 | C22⋊C4 | — | 9 | 2 | no | — |
| 1059 | C22⋊C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 1060 | C22⋊C4 | C2×D32 | 1 | 2 | yes | — |
| 1061 | C42 | — | 3 | 1 | no | — |
| 1062 | C42 | — | 3 | 1 | no | — |
| 1063 | C42 | — | 3 | 2 | no | — |
| 1064 | C42 | — | 9 | 2 | no | — |
| 1065 | C42 | — | 9 | 2 | no | — |
| 1066 | C42 | — | 9 | 2 | no | — |
| 1067 | C42 | — | 9 | 2 | no | — |
| 1068 | C22×C3 | — | 2 | 2 | no | — |
| 1069 | C22×C3 | — | 2 | 1 | no | — |
| 1070 | C22×C3 | — | 2 | 1 | no | — |
| 1071 | C22×C3 | — | 2 | 1 | no | — |
| 1072 | C22×C3 | — | 2 | 1 | no | — |
| 1073 | C22×C3 | — | 2 | 2 | no | — |
| 1074 | C22×C3 | — | 2 | 2 | no | — |
| 1075 | C22×C3 | — | 2 | 2 | no | — |
| 1076 | C22×C3 | — | 2 | 2 | no | — |
| 1077 | C22×C3 | — | 2 | 1 | no | — |
| 1078 | C22×C3 | — | 4 | 2 | no | — |
| 1079 | C22×C3 | — | 4 | 1 | no | — |
| 1080 | C22×C3 | — | 4 | 2 | no | — |
| 1081 | C22×C3 | — | 6 | 2 | no | — |
| 1082 | C22×C3 | — | 6 | 2 | no | — |
| 1083 | C22×C3 | — | 6 | 2 | no | — |
| 1084 | C22×C3 | — | 6 | 2 | no | — |
| 1085 | C22×C3 | — | 6 | 2 | no | — |
| 1086 | C22×C3 | — | 6 | 2 | no | — |
| 1087 | C22×C3 | — | 12 | 4 | no | — |
| 1088 | C22×C3 | C24×D3 | 1 | 1 | yes | characteristic |
| 1089 | C22×C3 | C24×D3 | 1 | 1 | yes | characteristic |
| 1090 | C2×D3 | — | 2 | 2 | no | — |
| 1091 | C2×D3 | — | 2 | 2 | no | — |
| 1092 | C2×D3 | — | 2 | 2 | no | — |
| 1093 | C2×D3 | — | 2 | 2 | no | — |
| 1094 | C2×D3 | — | 2 | 2 | no | — |
| 1095 | C2×D3 | — | 2 | 2 | no | — |
| 1096 | C2×D3 | — | 4 | 4 | no | — |
| 1097 | C2×D3 | — | 6 | 4 | no | — |
| 1098 | C2×D3 | — | 6 | 2 | no | — |
| 1099 | C2×D3 | — | 6 | 2 | no | — |
| 1100 | C2×D3 | — | 6 | 1 | no | — |
| 1101 | C2×D3 | — | 6 | 1 | no | — |
| 1102 | C2×D3 | — | 6 | 2 | no | — |
| 1103 | C2×D3 | — | 6 | 2 | no | — |
| 1104 | C2×D3 | — | 6 | 2 | no | — |
| 1105 | C2×D3 | — | 6 | 2 | no | — |
| 1106 | C2×D3 | — | 6 | 2 | no | — |
| 1107 | C2×D3 | — | 6 | 2 | no | — |
| 1108 | C2×D3 | — | 12 | 2 | no | — |
| 1109 | C2×D3 | — | 12 | 2 | no | — |
| 1110 | C2×D3 | — | 12 | 1 | no | — |
| 1111 | C2×D3 | — | 12 | 2 | no | — |
| 1112 | C2×D3 | — | 12 | 8 | no | — |
| 1113 | C2×D3 | — | 12 | 4 | no | — |
| 1114 | C2×D3 | — | 12 | 4 | no | — |
| 1115 | C3×C4 | — | 2 | 1 | no | — |
| 1116 | C3×C4 | — | 2 | 2 | no | — |
| 1117 | C3×C4 | — | 2 | 1 | no | — |
| 1118 | C3×C4 | — | 2 | 2 | no | — |
| 1119 | C3×C4 | — | 2 | 2 | no | — |
| 1120 | C3×C4 | — | 2 | 2 | no | — |
| 1121 | C3×C4 | — | 4 | 1 | no | — |
| 1122 | C3×C4 | — | 4 | 2 | no | — |
| 1123 | C3×C4 | — | 4 | 2 | no | — |
| 1124 | C3×C4 | — | 6 | 2 | no | — |
| 1125 | C3×C4 | — | 6 | 2 | no | — |
| 1126 | C3×C4 | — | 6 | 2 | no | — |
| 1127 | C3×C4 | — | 6 | 2 | no | — |
| 1128 | C3×C4 | — | 6 | 2 | no | — |
| 1129 | C3×C4 | — | 6 | 2 | no | — |
| 1130 | Dic3 | — | 2 | 2 | no | — |
| 1131 | Dic3 | — | 2 | 2 | no | — |
| 1132 | Dic3 | — | 2 | 2 | no | — |
| 1133 | Dic3 | — | 2 | 2 | no | — |
| 1134 | Dic3 | — | 2 | 2 | no | — |
| 1135 | Dic3 | — | 2 | 2 | no | — |
| 1136 | Dic3 | — | 3 | 2 | no | — |
| 1137 | Dic3 | — | 3 | 2 | no | — |
| 1138 | Dic3 | — | 6 | 2 | no | — |
| 1139 | Dic3 | — | 6 | 2 | no | — |
| 1140 | Dic3 | — | 6 | 1 | no | — |
| 1141 | Dic3 | — | 6 | 1 | no | — |
| 1142 | Dic3 | — | 6 | 1 | no | — |
| 1143 | Dic3 | — | 6 | 1 | no | — |
| 1144 | Dic3 | — | 6 | 2 | no | — |
| 1145 | Dic3 | — | 6 | 2 | no | — |
| 1146 | Dic3 | — | 12 | 1 | no | — |
| 1147 | Dic3 | — | 12 | 2 | no | — |
| 1148 | C32 | #3529 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1149 | C23 | — | 3 | 2 | no | — |
| 1150 | C23 | — | 3 | 2 | no | — |
| 1151 | C23 | — | 9 | 2 | no | — |
| 1152 | C23 | — | 9 | 1 | no | — |
| 1153 | C23 | — | 12 | 1 | no | — |
| 1154 | C23 | — | 12 | 2 | no | — |
| 1155 | C23 | — | 36 | 1 | no | — |
| 1156 | C23 | — | 36 | 2 | no | — |
| 1157 | C23 | C22×D32 | 1 | 1 | yes | characteristic |
| 1158 | C23 | C22×D32 | 1 | 1 | yes | characteristic |
| 1159 | Q8 | — | 12 | 2 | no | — |
| 1160 | Q8 | — | 12 | 1 | no | — |
| 1161 | Q8 | — | 36 | 1 | no | — |
| 1162 | Q8 | — | 36 | 2 | no | — |
| 1163 | D4 | — | 4 | 1 | no | — |
| 1164 | D4 | — | 12 | 2 | no | — |
| 1165 | D4 | — | 12 | 1 | no | — |
| 1166 | D4 | — | 12 | 2 | no | — |
| 1167 | D4 | — | 12 | 2 | no | — |
| 1168 | D4 | — | 12 | 2 | no | — |
| 1169 | D4 | — | 12 | 2 | no | — |
| 1170 | D4 | — | 36 | 2 | no | — |
| 1171 | D4 | — | 36 | 2 | no | — |
| 1172 | D4 | — | 36 | 2 | no | — |
| 1173 | D4 | — | 36 | 2 | no | — |
| 1174 | D4 | — | 36 | 2 | no | — |
| 1175 | D4 | — | 36 | 2 | no | — |
| 1176 | D4 | — | 36 | 2 | no | — |
| 1177 | D4 | — | 36 | 1 | no | — |
| 1178 | D4 | — | 36 | 1 | no | — |
| 1179 | D4 | — | 36 | 2 | no | — |
| 1180 | C2×C4 | — | 3 | 2 | no | — |
| 1181 | C2×C4 | — | 3 | 2 | no | — |
| 1182 | C2×C4 | — | 3 | 2 | no | — |
| 1183 | C2×C4 | — | 3 | 2 | no | — |
| 1184 | C2×C4 | — | 3 | 2 | no | — |
| 1185 | C2×C4 | — | 3 | 2 | no | — |
| 1186 | C2×C4 | — | 4 | 1 | no | — |
| 1187 | C2×C4 | — | 9 | 1 | no | — |
| 1188 | C2×C4 | — | 9 | 2 | no | — |
| 1189 | C2×C4 | — | 9 | 1 | no | — |
| 1190 | C2×C4 | — | 9 | 1 | no | — |
| 1191 | C2×C4 | — | 12 | 2 | no | — |
| 1192 | C2×C4 | — | 12 | 1 | no | — |
| 1193 | C2×C4 | — | 18 | 4 | no | — |
| 1194 | C2×C4 | — | 18 | 2 | no | — |
| 1195 | C2×C4 | — | 18 | 4 | no | — |
| 1196 | C2×C4 | — | 18 | 4 | no | — |
| 1197 | C2×C4 | — | 18 | 2 | no | — |
| 1198 | C2×C4 | — | 18 | 2 | no | — |
| 1199 | C2×C4 | — | 36 | 2 | no | — |
| 1200 | C2×C4 | — | 36 | 2 | no | — |
| 1201 | C2×C4 | — | 36 | 2 | no | — |
| 1202 | C2×C4 | — | 36 | 2 | no | — |
| 1203 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1204 | C2×C4 | C22×D32 | 1 | 2 | yes | — |
| 1205 | C2×C4 | C22×D32 | 1 | 2 | yes | — |
| 1206 | C2×C3 | — | 2 | 1 | no | — |
| 1207 | C2×C3 | — | 2 | 2 | no | — |
| 1208 | C2×C3 | — | 4 | 2 | no | — |
| 1209 | C2×C3 | — | 4 | 1 | no | — |
| 1210 | C2×C3 | — | 4 | 1 | no | — |
| 1211 | C2×C3 | — | 4 | 1 | no | — |
| 1212 | C2×C3 | — | 4 | 1 | no | — |
| 1213 | C2×C3 | — | 8 | 1 | no | — |
| 1214 | C2×C3 | — | 12 | 2 | no | — |
| 1215 | C2×C3 | — | 12 | 2 | no | — |
| 1216 | C2×C3 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1217 | C2×C3 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1218 | C2×C3 | #5966 | 1 | 2 | yes | — |
| 1219 | C2×C3 | #5968 | 1 | 2 | yes | — |
| 1220 | D3 | — | 4 | 2 | no | — |
| 1221 | D3 | — | 4 | 2 | no | — |
| 1222 | D3 | — | 12 | 4 | no | — |
| 1223 | D3 | — | 12 | 2 | no | — |
| 1224 | D3 | — | 12 | 1 | no | — |
| 1225 | D3 | — | 12 | 2 | no | — |
| 1226 | D3 | — | 12 | 1 | no | — |
| 1227 | D3 | — | 24 | 1 | no | — |
| 1228 | C22 | — | 2 | 1 | no | — |
| 1229 | C22 | — | 2 | 1 | no | — |
| 1230 | C22 | — | 2 | 2 | no | — |
| 1231 | C22 | — | 2 | 2 | no | — |
| 1232 | C22 | — | 6 | 2 | no | — |
| 1233 | C22 | — | 6 | 2 | no | — |
| 1234 | C22 | — | 6 | 2 | no | — |
| 1235 | C22 | — | 6 | 2 | no | — |
| 1236 | C22 | — | 6 | 2 | no | — |
| 1237 | C22 | — | 6 | 2 | no | — |
| 1238 | C22 | — | 12 | 4 | no | — |
| 1239 | C22 | — | 18 | 2 | no | — |
| 1240 | C22 | — | 18 | 1 | no | — |
| 1241 | C22 | — | 18 | 2 | no | — |
| 1242 | C22 | — | 18 | 2 | no | — |
| 1243 | C22 | — | 18 | 2 | no | — |
| 1244 | C22 | — | 36 | 4 | no | — |
| 1245 | C22 | C23×D32 | 1 | 1 | yes | characteristic |
| 1246 | C4 | — | 2 | 2 | no | — |
| 1247 | C4 | — | 2 | 1 | no | — |
| 1248 | C4 | — | 2 | 2 | no | — |
| 1249 | C4 | — | 6 | 2 | no | — |
| 1250 | C4 | — | 6 | 2 | no | — |
| 1251 | C4 | — | 6 | 2 | no | — |
| 1252 | C4 | — | 6 | 2 | no | — |
| 1253 | C4 | — | 6 | 2 | no | — |
| 1254 | C4 | — | 6 | 2 | no | — |
| 1255 | C4 | — | 9 | 2 | no | — |
| 1256 | C4 | — | 18 | 1 | no | — |
| 1257 | C4 | — | 18 | 1 | no | — |
| 1258 | C4 | — | 18 | 2 | no | — |
| 1259 | C3 | — | 2 | 1 | no | — |
| 1260 | C3 | #87070 | 1 | 1 | yes | characteristic, complemented |
| 1261 | C3 | #87115 | 1 | 1 | yes | characteristic, complemented |
| 1262 | C2 | — | 4 | 1 | no | — |
| 1263 | C2 | — | 4 | 1 | no | — |
| 1264 | C2 | — | 12 | 2 | no | — |
| 1265 | C2 | — | 12 | 2 | no | — |
| 1266 | C2 | — | 36 | 2 | no | — |
| 1267 | C2 | — | 36 | 1 | no | — |
| 1268 | C2 | #10596675 | 1 | 1 | yes | characteristic |
| 1269 | C2 | #10596698 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C23×D32 |
| commutator, socle, cosocle | C22×C32 | C25 |
| Fitting | C32×#123 | C22 |
| hypercenter | #123 | D32 |
| hypocenter | C32 | #3529 |
| LCS | G ▷ C22×C32 ▷ C32 | |
| UCS | C1 ◁ C22 ◁ #123 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596127 | C2 | semidirect |
| 2. C3×#5666 | C2 | semidirect |
| 3. C3×#5651 | C2 | semidirect |
| 4. #10595266 | C2 | semidirect |
| 5. #10595262 | C2 | semidirect |
| 6. #10595167 | C2 | semidirect |
| 7. #10595160 | C2 | semidirect |
| 8. #10594976 | C2 | semidirect |
| 9. #10594922 | C2 | semidirect |
| 10. #10594503 | C2 | semidirect |
| 11. #10594493 | C2 | semidirect |
| 12. #10594465 | C2 | semidirect |
| 13. #10594369 | C2 | semidirect |
| 14. #10594242 | C2 | semidirect |
| 15. #10594236 | C2 | semidirect |
| 16. #10594130 | C2 | semidirect |
| 17. #10594112 | C2 | semidirect |
| 18. #10594055 | C2 | semidirect |
| 19. #10594043 | C2 | semidirect |
| 23. C22×C4×C3⋊D3 | C22 | semidirect |
| 24. C22×D3×Dic3 | C22 | semidirect |
| 26. C2×#3796 | C22 | semidirect |
| 29. #64138 | C22 | semidirect |
| 30. #64105 | C22 | semidirect |
| 31. #64102 | C22 | semidirect |
| 33. #64091 | C22 | semidirect |
| 35. #64086 | C22 | semidirect |
| 41. C3×#924 | C22 | semidirect |
| 42. C3×#898 | C22 | semidirect |
| 43. C3×#895 | C22 | semidirect |
| 44. C3×#889 | C22 | semidirect |
| 45. C3×#888 | C22 | semidirect |
| 47. C3×#883 | C22 | semidirect |
| 48. C3×#882 | C22 | semidirect |
| 49. C3×#879 | C22 | semidirect |
| 50. C3×#879 | C22 | semidirect |
| 51. C3×#878 | C22 | semidirect |
| 53. #63981 | C22 | semidirect |
| 56. #63977 | C22 | semidirect |
| 58. #67⋊Dic3 | C22 | semidirect |
| 59. #67⋊Dic3 | C22 | semidirect |
| 62. #63969 | C22 | semidirect |
| 63. #63966 | C22 | semidirect |
| 65. #63958 | C22 | semidirect |
| 66. #63958 | C22 | semidirect |
| 67. #63957 | C22 | semidirect |
| 72. #63909 | C22 | semidirect |
| 74. #63907 | C22 | semidirect |
| 75. #63899 | C22 | semidirect |
| 76. #63898 | C22 | semidirect |
| 77. #63897 | C22 | semidirect |
| 78. #63896 | C22 | semidirect |
| 79. #63895 | C22 | semidirect |
| 81. #63887 | C22 | semidirect |
| 83. #63886 | C22 | semidirect |
| 84. #63886 | C22 | semidirect |
| 85. #63884 | C22 | semidirect |
| 86. #63884 | C22 | semidirect |
| 87. C4×#624 | C22 | semidirect |
| 89. #63881 | C22 | semidirect |
| 90. #63881 | C22 | semidirect |
| 91. #63878 | C22 | semidirect |
| 92. C4×D3×Dic3 | C22 | semidirect |
| 93. #63871 | C22 | semidirect |
| 94. #63868 | C22 | semidirect |
| 95. #63868 | C22 | semidirect |
| 96. #63866 | C22 | semidirect |
| 97. #63860 | C22 | semidirect |
| 98. #63859 | C22 | semidirect |
| 99. #63854 | C22 | semidirect |
| 101. #63853 | C22 | semidirect |
| 103. #63851 | C22 | semidirect |
| 104. #63850 | C22 | semidirect |
| 105. #63849 | C22 | semidirect |
| 106. #63847 | C22 | semidirect |
| 107. #63846 | C22 | semidirect |
| 108. #63838 | C22 | semidirect |
| 127. #5666 | D3 | semidirect |
| 132. #5651 | D3 | semidirect |
| 316. #924 | C2×D3 | semidirect |
| 320. #898 | C2×D3 | semidirect |
| 336. #895 | C2×D3 | semidirect |
| 360. #889 | C2×D3 | semidirect |
| 361. #888 | C2×D3 | semidirect |
| 385. #883 | C2×D3 | semidirect |
| 393. #882 | C2×D3 | semidirect |
| 404. #879 | C2×D3 | semidirect |
| 405. #879 | C2×D3 | semidirect |
| 409. #878 | C2×D3 | semidirect |
| 1148. C32 | #3529 | semidirect |
| 1260. C3 | #87070 | semidirect |
| 1261. C3 | #87115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.