Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
2036 conjugacy classes of subgroups.
The subgroup lattice has 980 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#92049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#91771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#91573 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#91572 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×C5×#806 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×C3×#3938 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#90997 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11747137 | C2 | 1 | 8 | yes | maximal, direct product factor |
| 9 | C2×#65030 | — | 3 | 1 | no | maximal, Hall |
| 10 | C24×D15 | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | C22×#1220 | C22 | 1 | 1 | yes | characteristic |
| 12 | C22×D60 | — | 2 | 1 | no | — |
| 13 | C22×C5×#67 | C22 | 1 | 1 | yes | characteristic |
| 14 | C22×C3×C22⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 15 | #92049 | — | 2 | 2 | no | — |
| 16 | #92049 | — | 2 | 2 | no | — |
| 17 | #92049 | — | 2 | 2 | no | — |
| 18 | #92049 | C22 | 1 | 4 | yes | complemented |
| 19 | C2×#6790 | — | 2 | 1 | no | — |
| 20 | C2×D3×C22⋊D5 | — | 2 | 1 | no | — |
| 21 | C2×D5×#67 | — | 2 | 1 | no | — |
| 22 | C22×#1203 | — | 2 | 1 | no | — |
| 23 | C22×#1202 | — | 2 | 1 | no | — |
| 24 | C2×#6782 | — | 2 | 1 | no | — |
| 25 | C2×#6780 | — | 2 | 1 | no | — |
| 26 | C2×#6779 | — | 2 | 1 | no | — |
| 27 | C2×C3×C5×C22⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×#6714 | — | 2 | 1 | no | — |
| 29 | #91771 | — | 2 | 2 | no | — |
| 30 | #91771 | C22 | 1 | 4 | yes | complemented |
| 31 | C2×C5×#217 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×C3×C22⋊Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #91573 | — | 2 | 2 | no | — |
| 34 | #91573 | C22 | 1 | 4 | yes | complemented |
| 35 | #91572 | — | 2 | 2 | no | — |
| 36 | #91572 | C22 | 1 | 4 | yes | complemented |
| 37 | C2×#6667 | — | 2 | 1 | no | — |
| 38 | C2×#6667 | — | 2 | 1 | no | — |
| 39 | C5×#806 | C22 | 1 | 4 | yes | complemented |
| 40 | C3×#3938 | C22 | 1 | 4 | yes | complemented |
| 41 | #90997 | C22 | 1 | 4 | yes | complemented |
| 42 | C2×#4741 | — | 5 | 1 | no | maximal, Hall |
| 43 | C2×#4144 | — | 3 | 1 | no | — |
| 44 | C2×#4083 | — | 3 | 1 | no | — |
| 45 | C2×#4028 | — | 3 | 1 | no | — |
| 46 | C2×#4028 | — | 3 | 1 | no | — |
| 47 | C2×C5×#99 | — | 3 | 1 | no | — |
| 48 | C2×#3938 | — | 3 | 1 | no | — |
| 49 | C2×#3938 | D3 | 1 | 1 | yes | characteristic, complemented |
| 50 | #65030 | — | 3 | 8 | no | — |
| 51 | C24×C3×C5 | C23 | 1 | 1 | yes | characteristic |
| 52 | C23×D15 | — | 2 | 1 | no | — |
| 53 | C23×D15 | — | 2 | 1 | no | — |
| 54 | C23×D15 | — | 2 | 1 | no | — |
| 55 | C23×D15 | — | 2 | 1 | no | — |
| 56 | C23×D15 | — | 2 | 1 | no | — |
| 57 | C23×D15 | — | 2 | 1 | no | — |
| 58 | C23×D15 | — | 4 | 4 | no | — |
| 59 | C23×D15 | D4 | 1 | 1 | yes | characteristic, complemented |
| 60 | C23×D15 | C23 | 1 | 2 | yes | complemented |
| 61 | C23×C5×D3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 62 | C23×C3×D5 | D4 | 1 | 1 | yes | characteristic, complemented |
| 63 | C22×D3×D5 | — | 2 | 1 | no | — |
| 64 | C22×C3×C4×C5 | — | 2 | 1 | no | — |
| 65 | C2×#1220 | — | 2 | 1 | no | — |
| 66 | C2×#1220 | — | 2 | 1 | no | — |
| 67 | C2×#1220 | — | 2 | 1 | no | — |
| 68 | C2×#1220 | — | 2 | 1 | no | — |
| 69 | C2×#1220 | D4 | 1 | 2 | yes | complemented |
| 70 | C2×#1220 | C23 | 1 | 2 | yes | — |
| 71 | C22×Dic15 | D4 | 1 | 1 | yes | characteristic, complemented |
| 72 | C2×D60 | — | 2 | 4 | no | — |
| 73 | C2×D60 | — | 4 | 4 | no | — |
| 74 | C2×C5×#67 | — | 2 | 1 | no | — |
| 75 | C2×C5×#67 | — | 2 | 1 | no | — |
| 76 | C2×C5×#67 | — | 2 | 1 | no | — |
| 77 | C2×C5×#67 | — | 2 | 1 | no | — |
| 78 | C2×C5×#67 | D4 | 1 | 2 | yes | complemented |
| 79 | C2×C5×#67 | C23 | 1 | 2 | yes | — |
| 80 | C22×C5×Dic3 | — | 2 | 1 | no | — |
| 81 | C22×C5×Dic3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 83 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 84 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 85 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 86 | C2×C3×C22⋊D5 | D4 | 1 | 2 | yes | complemented |
| 87 | C2×C3×C22⋊D5 | C23 | 1 | 2 | yes | — |
| 88 | C22×C3×Dic5 | — | 2 | 1 | no | — |
| 89 | C22×C3×Dic5 | D4 | 1 | 1 | yes | characteristic, complemented |
| 90 | #6790 | — | 2 | 4 | no | — |
| 91 | #6790 | — | 2 | 4 | no | — |
| 92 | D3×C22⋊D5 | — | 2 | 4 | no | — |
| 93 | D3×C22⋊D5 | — | 2 | 4 | no | — |
| 94 | D5×#67 | — | 2 | 4 | no | — |
| 95 | D5×#67 | — | 2 | 4 | no | — |
| 96 | C2×#1204 | — | 2 | 1 | no | — |
| 97 | C2×#1203 | — | 2 | 1 | no | — |
| 98 | C2×#1203 | — | 2 | 4 | no | — |
| 99 | C2×#1203 | — | 4 | 4 | no | — |
| 100 | C2×#1202 | — | 2 | 1 | no | — |
| 101 | C2×#1202 | — | 2 | 4 | no | — |
| 102 | C2×#1202 | — | 4 | 4 | no | — |
| 103 | C2×#1201 | — | 2 | 1 | no | — |
| 104 | C2×#1200 | — | 2 | 1 | no | — |
| 105 | #6782 | — | 2 | 4 | no | — |
| 106 | #6782 | — | 2 | 4 | no | — |
| 107 | C2×D3×Dic5 | — | 2 | 1 | no | — |
| 108 | #6780 | — | 2 | 4 | no | — |
| 109 | #6780 | — | 2 | 4 | no | — |
| 110 | #6779 | — | 2 | 4 | no | — |
| 111 | #6779 | — | 2 | 4 | no | — |
| 112 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 113 | C3×C5×C22⋊C4 | — | 2 | 1 | no | — |
| 114 | C3×C5×C22⋊C4 | C23 | 1 | 2 | yes | complemented |
| 115 | #6714 | — | 2 | 4 | no | — |
| 116 | C5×#217 | — | 2 | 1 | no | — |
| 117 | C5×#217 | C23 | 1 | 2 | yes | complemented |
| 118 | C3×C22⋊Dic5 | — | 2 | 1 | no | — |
| 119 | C3×C22⋊Dic5 | C23 | 1 | 2 | yes | complemented |
| 120 | #6667 | — | 2 | 4 | no | — |
| 121 | #6667 | — | 2 | 4 | no | — |
| 122 | C2×#1004 | — | 5 | 1 | no | — |
| 123 | C2×#937 | — | 5 | 1 | no | — |
| 124 | C2×#882 | — | 5 | 1 | no | — |
| 125 | C2×#882 | — | 5 | 1 | no | — |
| 126 | C2×C3×#99 | — | 5 | 1 | no | — |
| 127 | C2×#806 | — | 5 | 1 | no | — |
| 128 | C2×#806 | D5 | 1 | 1 | yes | characteristic, complemented |
| 129 | #4741 | — | 5 | 8 | no | — |
| 130 | C24×D5 | — | 3 | 1 | no | — |
| 131 | C22×C5×D4 | — | 3 | 1 | no | — |
| 132 | C22×C22⋊D5 | — | 3 | 1 | no | — |
| 133 | C22×C22⋊D5 | — | 6 | 1 | no | — |
| 134 | C22×C22⋊D5 | — | 6 | 1 | no | — |
| 135 | C22×C22⋊D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 136 | #4144 | — | 3 | 4 | no | — |
| 137 | #4144 | — | 6 | 2 | no | — |
| 138 | #4144 | — | 6 | 2 | no | — |
| 139 | #4144 | — | 6 | 2 | no | — |
| 140 | C2×#711 | — | 6 | 1 | no | — |
| 141 | C2×#711 | — | 6 | 1 | no | — |
| 142 | C2×D4×D5 | — | 6 | 1 | no | — |
| 143 | C2×D4×D5 | — | 6 | 1 | no | — |
| 144 | C2×#709 | — | 6 | 1 | no | — |
| 145 | C22×D20 | — | 6 | 1 | no | — |
| 146 | C22×D20 | — | 6 | 1 | no | — |
| 147 | C2×C5×C22⋊C4 | — | 3 | 1 | no | — |
| 148 | C2×C5×C22⋊C4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 149 | C2×C22⋊Dic5 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 150 | #4083 | — | 3 | 4 | no | — |
| 151 | #4083 | — | 6 | 2 | no | — |
| 152 | C2×#685 | — | 6 | 1 | no | — |
| 153 | C2×#685 | — | 6 | 1 | no | — |
| 154 | C2×#685 | — | 6 | 1 | no | — |
| 155 | #4028 | — | 3 | 4 | no | — |
| 156 | #4028 | — | 3 | 4 | no | — |
| 157 | #4028 | — | 6 | 2 | no | — |
| 158 | #4028 | — | 6 | 2 | no | — |
| 159 | C5×#99 | — | 3 | 4 | no | — |
| 160 | #3938 | — | 3 | 4 | no | — |
| 161 | #3938 | C2×D3 | 1 | 4 | yes | complemented |
| 162 | C2×B(4,𝔽2) | — | 15 | 1 | no | Sylow |
| 163 | C23×C3×C5 | — | 4 | 2 | no | — |
| 164 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C23×C3×C5 | C24 | 1 | 1 | yes | characteristic |
| 171 | C22×D15 | — | 2 | 4 | no | — |
| 172 | C22×D15 | — | 2 | 4 | no | — |
| 173 | C22×D15 | — | 2 | 4 | no | — |
| 174 | C22×D15 | — | 2 | 1 | no | — |
| 175 | C22×D15 | — | 2 | 2 | no | — |
| 176 | C22×D15 | — | 2 | 2 | no | — |
| 177 | C22×D15 | — | 2 | 2 | no | — |
| 178 | C22×D15 | — | 2 | 1 | no | — |
| 179 | C22×D15 | — | 4 | 4 | no | — |
| 180 | C22×D15 | — | 4 | 4 | no | — |
| 181 | C22×D15 | — | 4 | 4 | no | — |
| 182 | C22×D15 | — | 4 | 4 | no | — |
| 183 | C22×D15 | — | 4 | 2 | no | — |
| 184 | C22×D15 | — | 4 | 2 | no | — |
| 185 | C22×D15 | — | 4 | 2 | no | — |
| 186 | C22×D15 | — | 4 | 1 | no | — |
| 187 | C22×D15 | — | 4 | 1 | no | — |
| 188 | C22×D15 | — | 4 | 1 | no | — |
| 189 | C22×D15 | — | 4 | 1 | no | — |
| 190 | C22×D15 | — | 4 | 2 | no | — |
| 191 | C22×D15 | C2×D4 | 1 | 2 | yes | complemented |
| 192 | C22×C5×D3 | — | 2 | 1 | no | — |
| 193 | C22×C5×D3 | — | 2 | 1 | no | — |
| 194 | C22×C5×D3 | — | 4 | 2 | no | — |
| 195 | C22×C5×D3 | C2×D4 | 1 | 2 | yes | complemented |
| 196 | C22×C3×D5 | — | 2 | 1 | no | — |
| 197 | C22×C3×D5 | — | 2 | 1 | no | — |
| 198 | C22×C3×D5 | — | 4 | 2 | no | — |
| 199 | C22×C3×D5 | C2×D4 | 1 | 2 | yes | complemented |
| 200 | C2×D3×D5 | — | 2 | 4 | no | — |
| 201 | C2×D3×D5 | — | 8 | 2 | no | — |
| 202 | C2×C3×C4×C5 | — | 2 | 2 | no | — |
| 203 | C2×C3×C4×C5 | — | 4 | 2 | no | — |
| 204 | #1220 | — | 2 | 2 | no | — |
| 205 | #1220 | — | 2 | 2 | no | — |
| 206 | #1220 | — | 2 | 2 | no | — |
| 207 | #1220 | — | 2 | 2 | no | — |
| 208 | C2×Dic15 | — | 2 | 1 | no | — |
| 209 | C2×Dic15 | — | 2 | 1 | no | — |
| 210 | C2×Dic15 | C2×D4 | 1 | 2 | yes | complemented |
| 211 | D60 | — | 4 | 8 | no | — |
| 212 | C5×#67 | — | 2 | 2 | no | — |
| 213 | C5×#67 | — | 2 | 2 | no | — |
| 214 | C5×#67 | — | 2 | 2 | no | — |
| 215 | C5×#67 | — | 2 | 2 | no | — |
| 216 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 217 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 218 | C2×C5×Dic3 | — | 2 | 2 | no | — |
| 219 | C2×C5×Dic3 | — | 4 | 2 | no | — |
| 220 | C2×C5×Dic3 | C2×D4 | 1 | 2 | yes | complemented |
| 221 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 222 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 223 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 224 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 225 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 226 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 227 | C2×C3×Dic5 | — | 2 | 2 | no | — |
| 228 | C2×C3×Dic5 | — | 4 | 2 | no | — |
| 229 | C2×C3×Dic5 | C2×D4 | 1 | 2 | yes | complemented |
| 230 | #1204 | — | 2 | 4 | no | — |
| 231 | #1203 | — | 2 | 4 | no | — |
| 232 | #1203 | — | 4 | 8 | no | — |
| 233 | #1202 | — | 2 | 4 | no | — |
| 234 | #1202 | — | 4 | 8 | no | — |
| 235 | #1201 | — | 2 | 4 | no | — |
| 236 | #1200 | — | 2 | 4 | no | — |
| 237 | D3×Dic5 | — | 2 | 4 | no | — |
| 238 | D5×Dic3 | — | 2 | 4 | no | — |
| 239 | C24×D3 | — | 5 | 1 | no | — |
| 240 | C22×C3×D4 | — | 5 | 1 | no | — |
| 241 | C22×#67 | — | 5 | 1 | no | — |
| 242 | C22×#67 | — | 10 | 1 | no | — |
| 243 | C22×#67 | — | 10 | 1 | no | — |
| 244 | C22×#67 | C2×D5 | 1 | 1 | yes | characteristic |
| 245 | #1004 | — | 5 | 4 | no | — |
| 246 | #1004 | — | 10 | 2 | no | — |
| 247 | #1004 | — | 10 | 2 | no | — |
| 248 | #1004 | — | 10 | 2 | no | — |
| 249 | C2×#237 | — | 10 | 1 | no | — |
| 250 | C2×#237 | — | 10 | 1 | no | — |
| 251 | C2×D3×D4 | — | 10 | 1 | no | — |
| 252 | C2×D3×D4 | — | 10 | 1 | no | — |
| 253 | C2×#235 | — | 10 | 1 | no | — |
| 254 | C22×D12 | — | 10 | 1 | no | — |
| 255 | C22×D12 | — | 10 | 1 | no | — |
| 256 | C2×C3×C22⋊C4 | — | 5 | 1 | no | — |
| 257 | C2×C3×C22⋊C4 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 258 | C2×#217 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 259 | #937 | — | 5 | 4 | no | — |
| 260 | #937 | — | 10 | 2 | no | — |
| 261 | C2×(C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 262 | C2×(C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 263 | C2×(C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 264 | #882 | — | 5 | 4 | no | — |
| 265 | #882 | — | 5 | 4 | no | — |
| 266 | #882 | — | 10 | 2 | no | — |
| 267 | #882 | — | 10 | 2 | no | — |
| 268 | C3×#99 | — | 5 | 4 | no | — |
| 269 | #806 | — | 5 | 4 | no | — |
| 270 | #806 | C2×D5 | 1 | 4 | yes | complemented |
| 271 | C24×C5 | — | 3 | 1 | no | — |
| 272 | C24×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 273 | C23×D5 | — | 3 | 1 | no | — |
| 274 | C23×D5 | — | 3 | 2 | no | — |
| 275 | C23×D5 | — | 6 | 1 | no | — |
| 276 | C23×D5 | — | 6 | 1 | no | — |
| 277 | C23×D5 | — | 6 | 1 | no | — |
| 278 | C23×D5 | — | 6 | 1 | no | — |
| 279 | C23×D5 | — | 6 | 1 | no | — |
| 280 | C23×D5 | — | 6 | 1 | no | — |
| 281 | C23×D5 | — | 6 | 1 | no | — |
| 282 | C23×D5 | — | 12 | 4 | no | — |
| 283 | C23×D5 | D12 | 1 | 1 | yes | characteristic, complemented |
| 284 | C2×C5×D4 | — | 3 | 2 | no | — |
| 285 | C2×C5×D4 | — | 3 | 2 | no | — |
| 286 | C2×C5×D4 | — | 6 | 1 | no | — |
| 287 | C2×C5×D4 | — | 6 | 1 | no | — |
| 288 | C2×C5×D4 | — | 6 | 1 | no | — |
| 289 | C2×C5×D4 | — | 6 | 1 | no | — |
| 290 | C22×C4×C5 | — | 2 | 1 | no | — |
| 291 | C22×C4×C5 | — | 3 | 1 | no | — |
| 292 | C22×C4×C5 | — | 6 | 1 | no | — |
| 293 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 294 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 295 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 296 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 297 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 298 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 299 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 300 | C2×C22⋊D5 | — | 6 | 4 | no | — |
| 301 | C2×C22⋊D5 | — | 6 | 4 | no | — |
| 302 | C2×C22⋊D5 | — | 6 | 4 | no | — |
| 303 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 304 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 305 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 306 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 307 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 308 | C2×C22⋊D5 | — | 12 | 4 | no | — |
| 309 | C2×C22⋊D5 | D12 | 1 | 2 | yes | complemented |
| 310 | C2×C22⋊D5 | C22×D3 | 1 | 2 | yes | — |
| 311 | C22×Dic5 | — | 2 | 1 | no | — |
| 312 | C22×Dic5 | — | 3 | 1 | no | — |
| 313 | C22×Dic5 | — | 6 | 1 | no | — |
| 314 | C22×Dic5 | D12 | 1 | 1 | yes | characteristic, complemented |
| 315 | #711 | — | 6 | 4 | no | — |
| 316 | #711 | — | 6 | 4 | no | — |
| 317 | #711 | — | 6 | 4 | no | — |
| 318 | #711 | — | 6 | 4 | no | — |
| 319 | D4×D5 | — | 6 | 4 | no | — |
| 320 | D4×D5 | — | 6 | 4 | no | — |
| 321 | D4×D5 | — | 6 | 4 | no | — |
| 322 | D4×D5 | — | 6 | 4 | no | — |
| 323 | #709 | — | 6 | 4 | no | — |
| 324 | #709 | — | 6 | 4 | no | — |
| 325 | C2×D20 | — | 6 | 1 | no | — |
| 326 | C2×D20 | — | 6 | 4 | no | — |
| 327 | C2×D20 | — | 6 | 4 | no | — |
| 328 | C2×D20 | — | 12 | 4 | no | — |
| 329 | C2×D20 | — | 12 | 4 | no | — |
| 330 | C2×C4×D5 | — | 6 | 1 | no | — |
| 331 | C2×C4×D5 | — | 6 | 1 | no | — |
| 332 | C2×Dic10 | — | 6 | 1 | no | — |
| 333 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 334 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 335 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 336 | C5×C22⋊C4 | C22×D3 | 1 | 2 | yes | complemented |
| 337 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 338 | C22⋊Dic5 | C22×D3 | 1 | 2 | yes | complemented |
| 339 | #685 | — | 6 | 4 | no | — |
| 340 | #685 | — | 6 | 4 | no | — |
| 341 | #685 | — | 6 | 4 | no | — |
| 342 | C2×H(5,𝔽2) | — | 15 | 1 | no | — |
| 343 | C2×#120 | — | 15 | 1 | no | — |
| 344 | C2×#120 | — | 15 | 1 | no | — |
| 345 | C2×#120 | — | 15 | 1 | no | — |
| 346 | B(4,𝔽2) | — | 15 | 8 | no | — |
| 347 | C2×#99 | — | 3 | 1 | no | — |
| 348 | C2×#99 | — | 5 | 1 | no | — |
| 349 | C2×#99 | — | 15 | 1 | no | — |
| 350 | C22×C3×C5 | — | 2 | 2 | no | — |
| 351 | C22×C3×C5 | — | 2 | 2 | no | — |
| 352 | C22×C3×C5 | — | 2 | 2 | no | — |
| 353 | C22×C3×C5 | — | 4 | 1 | no | — |
| 354 | C22×C3×C5 | — | 4 | 1 | no | — |
| 355 | C22×C3×C5 | — | 4 | 1 | no | — |
| 356 | C22×C3×C5 | — | 4 | 1 | no | — |
| 357 | C22×C3×C5 | #120 | 1 | 1 | yes | characteristic |
| 358 | C22×C3×C5 | #120 | 1 | 1 | yes | characteristic |
| 359 | C22×C3×C5 | #120 | 1 | 1 | yes | characteristic |
| 360 | C22×C3×C5 | #120 | 1 | 1 | yes | characteristic |
| 361 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 362 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 363 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 364 | C2×D15 | — | 2 | 4 | no | — |
| 365 | C2×D15 | — | 2 | 4 | no | — |
| 366 | C2×D15 | — | 2 | 4 | no | — |
| 367 | C2×D15 | — | 2 | 2 | no | — |
| 368 | C2×D15 | — | 4 | 2 | no | — |
| 369 | C2×D15 | — | 4 | 2 | no | — |
| 370 | C2×D15 | — | 4 | 2 | no | — |
| 371 | C2×D15 | — | 4 | 4 | no | — |
| 372 | C2×D15 | — | 4 | 4 | no | — |
| 373 | C2×D15 | — | 4 | 4 | no | — |
| 374 | C2×D15 | — | 4 | 2 | no | — |
| 375 | C2×D15 | — | 4 | 2 | no | — |
| 376 | C2×D15 | — | 4 | 4 | no | — |
| 377 | C2×D15 | — | 4 | 2 | no | — |
| 378 | C2×D15 | — | 8 | 1 | no | — |
| 379 | C2×C5×D3 | — | 2 | 2 | no | — |
| 380 | C2×C5×D3 | — | 4 | 2 | no | — |
| 381 | C2×C5×D3 | — | 4 | 2 | no | — |
| 382 | C2×C5×D3 | — | 8 | 1 | no | — |
| 383 | C2×C3×D5 | — | 2 | 2 | no | — |
| 384 | C2×C3×D5 | — | 4 | 2 | no | — |
| 385 | C2×C3×D5 | — | 4 | 2 | no | — |
| 386 | C2×C3×D5 | — | 8 | 1 | no | — |
| 387 | D3×D5 | — | 8 | 4 | no | — |
| 388 | C3×C4×C5 | — | 4 | 2 | no | — |
| 389 | Dic15 | — | 2 | 2 | no | — |
| 390 | C3×Dic5 | — | 2 | 2 | no | — |
| 391 | C3×Dic5 | — | 4 | 2 | no | — |
| 392 | C5×Dic3 | — | 2 | 2 | no | — |
| 393 | C5×Dic3 | — | 4 | 2 | no | — |
| 394 | C24×C3 | — | 5 | 1 | no | — |
| 395 | C24×C3 | C22×D5 | 1 | 1 | yes | characteristic |
| 396 | C23×D3 | — | 5 | 1 | no | — |
| 397 | C23×D3 | — | 5 | 2 | no | — |
| 398 | C23×D3 | — | 10 | 1 | no | — |
| 399 | C23×D3 | — | 10 | 1 | no | — |
| 400 | C23×D3 | — | 10 | 1 | no | — |
| 401 | C23×D3 | — | 10 | 1 | no | — |
| 402 | C23×D3 | — | 10 | 1 | no | — |
| 403 | C23×D3 | — | 10 | 1 | no | — |
| 404 | C23×D3 | — | 10 | 1 | no | — |
| 405 | C23×D3 | — | 20 | 4 | no | — |
| 406 | C23×D3 | D20 | 1 | 1 | yes | characteristic, complemented |
| 407 | C2×C3×D4 | — | 5 | 2 | no | — |
| 408 | C2×C3×D4 | — | 5 | 2 | no | — |
| 409 | C2×C3×D4 | — | 10 | 1 | no | — |
| 410 | C2×C3×D4 | — | 10 | 1 | no | — |
| 411 | C2×C3×D4 | — | 10 | 1 | no | — |
| 412 | C2×C3×D4 | — | 10 | 1 | no | — |
| 413 | C22×C3×C4 | — | 2 | 1 | no | — |
| 414 | C22×C3×C4 | — | 5 | 1 | no | — |
| 415 | C22×C3×C4 | — | 10 | 1 | no | — |
| 416 | C2×#67 | — | 2 | 1 | no | — |
| 417 | C2×#67 | — | 2 | 1 | no | — |
| 418 | C2×#67 | — | 2 | 1 | no | — |
| 419 | C2×#67 | — | 2 | 1 | no | — |
| 420 | C2×#67 | — | 5 | 2 | no | — |
| 421 | C2×#67 | — | 5 | 2 | no | — |
| 422 | C2×#67 | — | 10 | 1 | no | — |
| 423 | C2×#67 | — | 10 | 4 | no | — |
| 424 | C2×#67 | — | 10 | 4 | no | — |
| 425 | C2×#67 | — | 10 | 4 | no | — |
| 426 | C2×#67 | — | 10 | 1 | no | — |
| 427 | C2×#67 | — | 10 | 1 | no | — |
| 428 | C2×#67 | — | 10 | 1 | no | — |
| 429 | C2×#67 | — | 10 | 1 | no | — |
| 430 | C2×#67 | — | 10 | 1 | no | — |
| 431 | C2×#67 | — | 20 | 4 | no | — |
| 432 | C2×#67 | D20 | 1 | 2 | yes | complemented |
| 433 | C2×#67 | C22×D5 | 1 | 2 | yes | — |
| 434 | C22×Dic3 | — | 2 | 1 | no | — |
| 435 | C22×Dic3 | — | 5 | 1 | no | — |
| 436 | C22×Dic3 | — | 10 | 1 | no | — |
| 437 | C22×Dic3 | D20 | 1 | 1 | yes | characteristic, complemented |
| 438 | #237 | — | 10 | 4 | no | — |
| 439 | #237 | — | 10 | 4 | no | — |
| 440 | #237 | — | 10 | 4 | no | — |
| 441 | #237 | — | 10 | 4 | no | — |
| 442 | D3×D4 | — | 10 | 4 | no | — |
| 443 | D3×D4 | — | 10 | 4 | no | — |
| 444 | D3×D4 | — | 10 | 4 | no | — |
| 445 | D3×D4 | — | 10 | 4 | no | — |
| 446 | #235 | — | 10 | 4 | no | — |
| 447 | #235 | — | 10 | 4 | no | — |
| 448 | C2×D12 | — | 10 | 1 | no | — |
| 449 | C2×D12 | — | 10 | 4 | no | — |
| 450 | C2×D12 | — | 10 | 4 | no | — |
| 451 | C2×D12 | — | 20 | 4 | no | — |
| 452 | C2×D12 | — | 20 | 4 | no | — |
| 453 | C2×C4×D3 | — | 10 | 1 | no | — |
| 454 | C2×C4×D3 | — | 10 | 1 | no | — |
| 455 | C2×Dic6 | — | 10 | 1 | no | — |
| 456 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 457 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 458 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 459 | C3×C22⋊C4 | C22×D5 | 1 | 2 | yes | complemented |
| 460 | #217 | — | 2 | 1 | no | — |
| 461 | #217 | C22×D5 | 1 | 2 | yes | complemented |
| 462 | (C2×D3)⋊C4 | — | 10 | 4 | no | — |
| 463 | (C2×D3)⋊C4 | — | 10 | 4 | no | — |
| 464 | (C2×D3)⋊C4 | — | 10 | 4 | no | — |
| 465 | C23×C5 | — | 3 | 2 | no | — |
| 466 | C23×C5 | — | 4 | 2 | no | — |
| 467 | C23×C5 | — | 6 | 1 | no | — |
| 468 | C23×C5 | — | 6 | 1 | no | — |
| 469 | C23×C5 | — | 12 | 2 | no | — |
| 470 | C23×C5 | C2×D12 | 1 | 1 | yes | characteristic |
| 471 | C23×C5 | C2×D12 | 1 | 1 | yes | characteristic |
| 472 | C23×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 473 | C23×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 474 | C23×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 475 | C23×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 476 | C23×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 477 | C22×D5 | — | 2 | 1 | no | — |
| 478 | C22×D5 | — | 2 | 1 | no | — |
| 479 | C22×D5 | — | 3 | 2 | no | — |
| 480 | C22×D5 | — | 4 | 2 | no | — |
| 481 | C22×D5 | — | 6 | 4 | no | — |
| 482 | C22×D5 | — | 6 | 4 | no | — |
| 483 | C22×D5 | — | 6 | 4 | no | — |
| 484 | C22×D5 | — | 6 | 4 | no | — |
| 485 | C22×D5 | — | 6 | 1 | no | — |
| 486 | C22×D5 | — | 6 | 2 | no | — |
| 487 | C22×D5 | — | 6 | 2 | no | — |
| 488 | C22×D5 | — | 6 | 2 | no | — |
| 489 | C22×D5 | — | 6 | 1 | no | — |
| 490 | C22×D5 | — | 12 | 4 | no | — |
| 491 | C22×D5 | — | 12 | 4 | no | — |
| 492 | C22×D5 | — | 12 | 4 | no | — |
| 493 | C22×D5 | — | 12 | 4 | no | — |
| 494 | C22×D5 | — | 12 | 2 | no | — |
| 495 | C22×D5 | — | 12 | 2 | no | — |
| 496 | C22×D5 | — | 12 | 2 | no | — |
| 497 | C22×D5 | — | 12 | 1 | no | — |
| 498 | C22×D5 | — | 12 | 1 | no | — |
| 499 | C22×D5 | — | 12 | 1 | no | — |
| 500 | C22×D5 | — | 12 | 1 | no | — |
| 501 | C22×D5 | — | 12 | 2 | no | — |
| 502 | C22×D5 | — | 24 | 2 | no | — |
| 503 | C22×D5 | C2×D12 | 1 | 2 | yes | complemented |
| 504 | C5×D4 | — | 6 | 2 | no | — |
| 505 | C5×D4 | — | 6 | 2 | no | — |
| 506 | C5×D4 | — | 6 | 2 | no | — |
| 507 | C5×D4 | — | 6 | 2 | no | — |
| 508 | C2×C4×C5 | — | 2 | 2 | no | — |
| 509 | C2×C4×C5 | — | 3 | 2 | no | — |
| 510 | C2×C4×C5 | — | 4 | 2 | no | — |
| 511 | C2×C4×C5 | — | 6 | 1 | no | — |
| 512 | C2×C4×C5 | — | 6 | 1 | no | — |
| 513 | C2×C4×C5 | — | 6 | 2 | no | — |
| 514 | C2×C4×C5 | — | 12 | 2 | no | — |
| 515 | C22⋊D5 | — | 2 | 2 | no | — |
| 516 | C22⋊D5 | — | 2 | 2 | no | — |
| 517 | C22⋊D5 | — | 2 | 2 | no | — |
| 518 | C22⋊D5 | — | 2 | 2 | no | — |
| 519 | C22⋊D5 | — | 6 | 4 | no | — |
| 520 | C22⋊D5 | — | 6 | 4 | no | — |
| 521 | C22⋊D5 | — | 6 | 2 | no | — |
| 522 | C22⋊D5 | — | 6 | 2 | no | — |
| 523 | C22⋊D5 | — | 6 | 2 | no | — |
| 524 | C22⋊D5 | — | 6 | 2 | no | — |
| 525 | C22⋊D5 | — | 12 | 8 | no | — |
| 526 | C2×Dic5 | — | 2 | 1 | no | — |
| 527 | C2×Dic5 | — | 2 | 1 | no | — |
| 528 | C2×Dic5 | — | 2 | 2 | no | — |
| 529 | C2×Dic5 | — | 3 | 2 | no | — |
| 530 | C2×Dic5 | — | 4 | 2 | no | — |
| 531 | C2×Dic5 | — | 6 | 4 | no | — |
| 532 | C2×Dic5 | — | 6 | 1 | no | — |
| 533 | C2×Dic5 | — | 6 | 1 | no | — |
| 534 | C2×Dic5 | C2×D12 | 1 | 2 | yes | complemented |
| 535 | D20 | — | 6 | 4 | no | — |
| 536 | D20 | — | 12 | 8 | no | — |
| 537 | D20 | — | 12 | 8 | no | — |
| 538 | C4×D5 | — | 6 | 4 | no | — |
| 539 | C4×D5 | — | 6 | 4 | no | — |
| 540 | Dic10 | — | 6 | 4 | no | — |
| 541 | C25 | — | 15 | 1 | no | — |
| 542 | H(5,𝔽2) | — | 15 | 4 | no | — |
| 543 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 544 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 545 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 546 | C2×#41 | — | 30 | 1 | no | — |
| 547 | C2×#41 | — | 30 | 1 | no | — |
| 548 | C2×#41 | — | 30 | 1 | no | — |
| 549 | C22×D4 | — | 3 | 1 | no | — |
| 550 | C22×D4 | — | 5 | 1 | no | — |
| 551 | C22×D4 | — | 15 | 1 | no | — |
| 552 | C22×D4 | — | 30 | 1 | no | — |
| 553 | C22×D4 | — | 30 | 1 | no | — |
| 554 | C22×D4 | — | 30 | 1 | no | — |
| 555 | C22×D4 | — | 30 | 1 | no | — |
| 556 | C22×D4 | — | 30 | 1 | no | — |
| 557 | C22×D4 | — | 30 | 1 | no | — |
| 558 | #120 | — | 15 | 4 | no | — |
| 559 | #120 | — | 15 | 4 | no | — |
| 560 | #120 | — | 15 | 4 | no | — |
| 561 | #120 | — | 30 | 2 | no | — |
| 562 | #120 | — | 30 | 2 | no | — |
| 563 | #120 | — | 30 | 2 | no | — |
| 564 | C2×C22⋊C4 | — | 3 | 1 | no | — |
| 565 | C2×C22⋊C4 | — | 5 | 1 | no | — |
| 566 | C2×C22⋊C4 | — | 30 | 1 | no | — |
| 567 | C2×C22⋊C4 | — | 30 | 1 | no | — |
| 568 | C2×C22⋊C4 | — | 30 | 1 | no | — |
| 569 | C2×C22⋊C4 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 570 | #99 | — | 3 | 4 | no | — |
| 571 | #99 | — | 5 | 4 | no | — |
| 572 | #99 | — | 15 | 4 | no | — |
| 573 | C2×C3×C5 | — | 2 | 1 | no | — |
| 574 | C2×C3×C5 | — | 2 | 1 | no | — |
| 575 | C2×C3×C5 | — | 2 | 1 | no | — |
| 576 | C2×C3×C5 | — | 2 | 1 | no | — |
| 577 | C2×C3×C5 | — | 2 | 1 | no | — |
| 578 | C2×C3×C5 | — | 2 | 1 | no | — |
| 579 | C2×C3×C5 | B(4,𝔽2) | 1 | 2 | yes | complemented |
| 580 | C2×C3×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 581 | D15 | — | 4 | 2 | no | — |
| 582 | D15 | — | 4 | 4 | no | — |
| 583 | C3×D5 | — | 4 | 2 | no | — |
| 584 | C5×D3 | — | 4 | 2 | no | — |
| 585 | C23×C3 | — | 4 | 2 | no | — |
| 586 | C23×C3 | — | 5 | 2 | no | — |
| 587 | C23×C3 | — | 10 | 1 | no | — |
| 588 | C23×C3 | — | 10 | 1 | no | — |
| 589 | C23×C3 | — | 20 | 2 | no | — |
| 590 | C23×C3 | C2×D20 | 1 | 1 | yes | characteristic |
| 591 | C23×C3 | C2×D20 | 1 | 1 | yes | characteristic |
| 592 | C23×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 593 | C23×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 594 | C23×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 595 | C23×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 596 | C23×C3 | C23×D5 | 1 | 1 | yes | characteristic |
| 597 | C22×D3 | — | 2 | 1 | no | — |
| 598 | C22×D3 | — | 2 | 1 | no | — |
| 599 | C22×D3 | — | 4 | 2 | no | — |
| 600 | C22×D3 | — | 5 | 2 | no | — |
| 601 | C22×D3 | — | 10 | 4 | no | — |
| 602 | C22×D3 | — | 10 | 4 | no | — |
| 603 | C22×D3 | — | 10 | 4 | no | — |
| 604 | C22×D3 | — | 10 | 4 | no | — |
| 605 | C22×D3 | — | 10 | 2 | no | — |
| 606 | C22×D3 | — | 10 | 2 | no | — |
| 607 | C22×D3 | — | 10 | 2 | no | — |
| 608 | C22×D3 | — | 10 | 1 | no | — |
| 609 | C22×D3 | — | 10 | 1 | no | — |
| 610 | C22×D3 | — | 20 | 4 | no | — |
| 611 | C22×D3 | — | 20 | 4 | no | — |
| 612 | C22×D3 | — | 20 | 4 | no | — |
| 613 | C22×D3 | — | 20 | 4 | no | — |
| 614 | C22×D3 | — | 20 | 2 | no | — |
| 615 | C22×D3 | — | 20 | 2 | no | — |
| 616 | C22×D3 | — | 20 | 2 | no | — |
| 617 | C22×D3 | — | 20 | 1 | no | — |
| 618 | C22×D3 | — | 20 | 1 | no | — |
| 619 | C22×D3 | — | 20 | 1 | no | — |
| 620 | C22×D3 | — | 20 | 1 | no | — |
| 621 | C22×D3 | — | 20 | 2 | no | — |
| 622 | C22×D3 | — | 40 | 2 | no | — |
| 623 | C22×D3 | C2×D20 | 1 | 2 | yes | complemented |
| 624 | C3×D4 | — | 10 | 2 | no | — |
| 625 | C3×D4 | — | 10 | 2 | no | — |
| 626 | C3×D4 | — | 10 | 2 | no | — |
| 627 | C3×D4 | — | 10 | 2 | no | — |
| 628 | C2×C3×C4 | — | 2 | 2 | no | — |
| 629 | C2×C3×C4 | — | 4 | 2 | no | — |
| 630 | C2×C3×C4 | — | 5 | 2 | no | — |
| 631 | C2×C3×C4 | — | 10 | 1 | no | — |
| 632 | C2×C3×C4 | — | 10 | 1 | no | — |
| 633 | C2×C3×C4 | — | 10 | 2 | no | — |
| 634 | C2×C3×C4 | — | 20 | 2 | no | — |
| 635 | #67 | — | 2 | 2 | no | — |
| 636 | #67 | — | 2 | 2 | no | — |
| 637 | #67 | — | 2 | 2 | no | — |
| 638 | #67 | — | 2 | 2 | no | — |
| 639 | #67 | — | 10 | 4 | no | — |
| 640 | #67 | — | 10 | 4 | no | — |
| 641 | #67 | — | 10 | 2 | no | — |
| 642 | #67 | — | 10 | 2 | no | — |
| 643 | #67 | — | 10 | 2 | no | — |
| 644 | #67 | — | 10 | 2 | no | — |
| 645 | #67 | — | 20 | 8 | no | — |
| 646 | C2×Dic3 | — | 2 | 1 | no | — |
| 647 | C2×Dic3 | — | 2 | 1 | no | — |
| 648 | C2×Dic3 | — | 2 | 2 | no | — |
| 649 | C2×Dic3 | — | 4 | 2 | no | — |
| 650 | C2×Dic3 | — | 5 | 2 | no | — |
| 651 | C2×Dic3 | — | 10 | 4 | no | — |
| 652 | C2×Dic3 | — | 10 | 1 | no | — |
| 653 | C2×Dic3 | — | 10 | 1 | no | — |
| 654 | C2×Dic3 | C2×D20 | 1 | 2 | yes | complemented |
| 655 | D12 | — | 10 | 4 | no | — |
| 656 | D12 | — | 20 | 8 | no | — |
| 657 | D12 | — | 20 | 8 | no | — |
| 658 | C4×D3 | — | 10 | 4 | no | — |
| 659 | C4×D3 | — | 10 | 4 | no | — |
| 660 | Dic6 | — | 10 | 4 | no | — |
| 661 | C22×C5 | — | 2 | 2 | no | — |
| 662 | C22×C5 | — | 2 | 2 | no | — |
| 663 | C22×C5 | — | 2 | 2 | no | — |
| 664 | C22×C5 | — | 4 | 1 | no | — |
| 665 | C22×C5 | — | 4 | 1 | no | — |
| 666 | C22×C5 | — | 4 | 1 | no | — |
| 667 | C22×C5 | — | 4 | 1 | no | — |
| 668 | C22×C5 | — | 6 | 2 | no | — |
| 669 | C22×C5 | — | 12 | 2 | no | — |
| 670 | C22×C5 | — | 12 | 2 | no | — |
| 671 | C22×C5 | — | 24 | 1 | no | — |
| 672 | C22×C5 | #882 | 1 | 1 | yes | characteristic |
| 673 | C22×C5 | #882 | 1 | 1 | yes | characteristic |
| 674 | C22×C5 | #882 | 1 | 1 | yes | characteristic |
| 675 | C22×C5 | #882 | 1 | 1 | yes | characteristic |
| 676 | C22×C5 | C22×D12 | 1 | 1 | yes | characteristic |
| 677 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 678 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 679 | C2×D5 | — | 2 | 2 | no | — |
| 680 | C2×D5 | — | 4 | 2 | no | — |
| 681 | C2×D5 | — | 4 | 2 | no | — |
| 682 | C2×D5 | — | 6 | 4 | no | — |
| 683 | C2×D5 | — | 6 | 4 | no | — |
| 684 | C2×D5 | — | 6 | 4 | no | — |
| 685 | C2×D5 | — | 6 | 2 | no | — |
| 686 | C2×D5 | — | 8 | 1 | no | — |
| 687 | C2×D5 | — | 12 | 2 | no | — |
| 688 | C2×D5 | — | 12 | 2 | no | — |
| 689 | C2×D5 | — | 12 | 2 | no | — |
| 690 | C2×D5 | — | 12 | 4 | no | — |
| 691 | C2×D5 | — | 12 | 4 | no | — |
| 692 | C2×D5 | — | 12 | 4 | no | — |
| 693 | C2×D5 | — | 12 | 2 | no | — |
| 694 | C2×D5 | — | 12 | 4 | no | — |
| 695 | C2×D5 | — | 12 | 2 | no | — |
| 696 | C2×D5 | — | 12 | 2 | no | — |
| 697 | C2×D5 | — | 24 | 4 | no | — |
| 698 | C2×D5 | — | 24 | 1 | no | — |
| 699 | C4×C5 | — | 4 | 2 | no | — |
| 700 | C4×C5 | — | 6 | 2 | no | — |
| 701 | C4×C5 | — | 12 | 2 | no | — |
| 702 | Dic5 | — | 2 | 2 | no | — |
| 703 | Dic5 | — | 4 | 2 | no | — |
| 704 | Dic5 | — | 6 | 2 | no | — |
| 705 | C24 | — | 3 | 1 | no | — |
| 706 | C24 | — | 5 | 1 | no | — |
| 707 | C24 | — | 15 | 1 | no | — |
| 708 | C24 | — | 15 | 2 | no | — |
| 709 | C24 | — | 30 | 1 | no | — |
| 710 | C24 | — | 30 | 1 | no | — |
| 711 | C24 | — | 30 | 1 | no | — |
| 712 | C24 | — | 30 | 1 | no | — |
| 713 | C24 | — | 30 | 1 | no | — |
| 714 | C24 | — | 30 | 1 | no | — |
| 715 | C24 | — | 30 | 1 | no | — |
| 716 | C24 | — | 60 | 4 | no | — |
| 717 | C24 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 718 | #41 | — | 30 | 4 | no | — |
| 719 | #41 | — | 30 | 4 | no | — |
| 720 | #41 | — | 30 | 4 | no | — |
| 721 | #41 | — | 30 | 4 | no | — |
| 722 | #41 | — | 30 | 4 | no | — |
| 723 | #41 | — | 30 | 4 | no | — |
| 724 | C2×Q8 | — | 30 | 1 | no | — |
| 725 | C2×D4 | — | 3 | 2 | no | — |
| 726 | C2×D4 | — | 3 | 2 | no | — |
| 727 | C2×D4 | — | 5 | 2 | no | — |
| 728 | C2×D4 | — | 5 | 2 | no | — |
| 729 | C2×D4 | — | 6 | 1 | no | — |
| 730 | C2×D4 | — | 6 | 1 | no | — |
| 731 | C2×D4 | — | 6 | 1 | no | — |
| 732 | C2×D4 | — | 6 | 1 | no | — |
| 733 | C2×D4 | — | 10 | 1 | no | — |
| 734 | C2×D4 | — | 10 | 1 | no | — |
| 735 | C2×D4 | — | 10 | 1 | no | — |
| 736 | C2×D4 | — | 10 | 1 | no | — |
| 737 | C2×D4 | — | 15 | 2 | no | — |
| 738 | C2×D4 | — | 15 | 2 | no | — |
| 739 | C2×D4 | — | 30 | 4 | no | — |
| 740 | C2×D4 | — | 30 | 1 | no | — |
| 741 | C2×D4 | — | 30 | 4 | no | — |
| 742 | C2×D4 | — | 30 | 1 | no | — |
| 743 | C2×D4 | — | 30 | 4 | no | — |
| 744 | C2×D4 | — | 30 | 4 | no | — |
| 745 | C2×D4 | — | 30 | 4 | no | — |
| 746 | C2×D4 | — | 30 | 4 | no | — |
| 747 | C2×D4 | — | 30 | 4 | no | — |
| 748 | C2×D4 | — | 30 | 4 | no | — |
| 749 | C2×D4 | — | 30 | 4 | no | — |
| 750 | C2×D4 | — | 30 | 1 | no | — |
| 751 | C2×D4 | — | 30 | 1 | no | — |
| 752 | C2×D4 | — | 30 | 1 | no | — |
| 753 | C2×D4 | — | 30 | 1 | no | — |
| 754 | C2×D4 | — | 30 | 1 | no | — |
| 755 | C2×D4 | — | 60 | 4 | no | — |
| 756 | C2×D4 | — | 60 | 4 | no | — |
| 757 | C2×D4 | — | 60 | 4 | no | — |
| 758 | C22×C4 | — | 2 | 1 | no | — |
| 759 | C22×C4 | — | 3 | 1 | no | — |
| 760 | C22×C4 | — | 5 | 1 | no | — |
| 761 | C22×C4 | — | 6 | 1 | no | — |
| 762 | C22×C4 | — | 10 | 1 | no | — |
| 763 | C22×C4 | — | 15 | 1 | no | — |
| 764 | C22×C4 | — | 30 | 1 | no | — |
| 765 | C22×C4 | — | 30 | 1 | no | — |
| 766 | C22×C4 | — | 30 | 1 | no | — |
| 767 | C22⋊C4 | — | 2 | 1 | no | — |
| 768 | C22⋊C4 | — | 3 | 2 | no | — |
| 769 | C22⋊C4 | — | 5 | 2 | no | — |
| 770 | C22⋊C4 | — | 6 | 1 | no | — |
| 771 | C22⋊C4 | — | 10 | 1 | no | — |
| 772 | C22⋊C4 | — | 30 | 4 | no | — |
| 773 | C22⋊C4 | — | 30 | 4 | no | — |
| 774 | C22⋊C4 | — | 30 | 4 | no | — |
| 775 | C22⋊C4 | C2×D3×D5 | 1 | 2 | yes | complemented |
| 776 | C3×C5 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic, complemented, Hall |
| 777 | C22×C3 | — | 2 | 2 | no | — |
| 778 | C22×C3 | — | 2 | 2 | no | — |
| 779 | C22×C3 | — | 2 | 2 | no | — |
| 780 | C22×C3 | — | 4 | 1 | no | — |
| 781 | C22×C3 | — | 4 | 1 | no | — |
| 782 | C22×C3 | — | 4 | 1 | no | — |
| 783 | C22×C3 | — | 4 | 1 | no | — |
| 784 | C22×C3 | — | 10 | 2 | no | — |
| 785 | C22×C3 | — | 20 | 2 | no | — |
| 786 | C22×C3 | — | 20 | 2 | no | — |
| 787 | C22×C3 | — | 40 | 1 | no | — |
| 788 | C22×C3 | #4028 | 1 | 1 | yes | characteristic |
| 789 | C22×C3 | #4028 | 1 | 1 | yes | characteristic |
| 790 | C22×C3 | #4028 | 1 | 1 | yes | characteristic |
| 791 | C22×C3 | #4028 | 1 | 1 | yes | characteristic |
| 792 | C22×C3 | C22×D20 | 1 | 1 | yes | characteristic |
| 793 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 794 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 795 | C2×D3 | — | 2 | 2 | no | — |
| 796 | C2×D3 | — | 4 | 2 | no | — |
| 797 | C2×D3 | — | 4 | 2 | no | — |
| 798 | C2×D3 | — | 8 | 1 | no | — |
| 799 | C2×D3 | — | 10 | 4 | no | — |
| 800 | C2×D3 | — | 10 | 4 | no | — |
| 801 | C2×D3 | — | 10 | 4 | no | — |
| 802 | C2×D3 | — | 10 | 2 | no | — |
| 803 | C2×D3 | — | 20 | 2 | no | — |
| 804 | C2×D3 | — | 20 | 2 | no | — |
| 805 | C2×D3 | — | 20 | 2 | no | — |
| 806 | C2×D3 | — | 20 | 4 | no | — |
| 807 | C2×D3 | — | 20 | 4 | no | — |
| 808 | C2×D3 | — | 20 | 4 | no | — |
| 809 | C2×D3 | — | 20 | 4 | no | — |
| 810 | C2×D3 | — | 20 | 2 | no | — |
| 811 | C2×D3 | — | 20 | 2 | no | — |
| 812 | C2×D3 | — | 20 | 2 | no | — |
| 813 | C2×D3 | — | 40 | 4 | no | — |
| 814 | C2×D3 | — | 40 | 1 | no | — |
| 815 | C3×C4 | — | 4 | 2 | no | — |
| 816 | C3×C4 | — | 10 | 2 | no | — |
| 817 | C3×C4 | — | 20 | 2 | no | — |
| 818 | Dic3 | — | 2 | 2 | no | — |
| 819 | Dic3 | — | 4 | 2 | no | — |
| 820 | Dic3 | — | 10 | 2 | no | — |
| 821 | C2×C5 | — | 2 | 1 | no | — |
| 822 | C2×C5 | — | 2 | 1 | no | — |
| 823 | C2×C5 | — | 2 | 1 | no | — |
| 824 | C2×C5 | — | 2 | 1 | no | — |
| 825 | C2×C5 | — | 2 | 1 | no | — |
| 826 | C2×C5 | — | 2 | 1 | no | — |
| 827 | C2×C5 | — | 12 | 2 | no | — |
| 828 | C2×C5 | #4741 | 1 | 2 | yes | complemented |
| 829 | C2×C5 | C2×#882 | 1 | 1 | yes | characteristic |
| 830 | D5 | — | 4 | 2 | no | — |
| 831 | D5 | — | 12 | 4 | no | — |
| 832 | D5 | — | 12 | 2 | no | — |
| 833 | C23 | — | 3 | 2 | no | — |
| 834 | C23 | — | 4 | 2 | no | — |
| 835 | C23 | — | 5 | 2 | no | — |
| 836 | C23 | — | 6 | 1 | no | — |
| 837 | C23 | — | 6 | 1 | no | — |
| 838 | C23 | — | 10 | 1 | no | — |
| 839 | C23 | — | 10 | 1 | no | — |
| 840 | C23 | — | 12 | 2 | no | — |
| 841 | C23 | — | 15 | 2 | no | — |
| 842 | C23 | — | 20 | 2 | no | — |
| 843 | C23 | — | 30 | 4 | no | — |
| 844 | C23 | — | 30 | 4 | no | — |
| 845 | C23 | — | 30 | 4 | no | — |
| 846 | C23 | — | 30 | 4 | no | — |
| 847 | C23 | — | 30 | 1 | no | — |
| 848 | C23 | — | 30 | 2 | no | — |
| 849 | C23 | — | 30 | 2 | no | — |
| 850 | C23 | — | 30 | 2 | no | — |
| 851 | C23 | — | 30 | 1 | no | — |
| 852 | C23 | — | 60 | 2 | no | — |
| 853 | C23 | — | 60 | 2 | no | — |
| 854 | C23 | — | 60 | 2 | no | — |
| 855 | C23 | — | 60 | 2 | no | — |
| 856 | C23 | — | 60 | 4 | no | — |
| 857 | C23 | — | 60 | 4 | no | — |
| 858 | C23 | — | 60 | 4 | no | — |
| 859 | C23 | — | 60 | 4 | no | — |
| 860 | C23 | — | 60 | 1 | no | — |
| 861 | C23 | — | 60 | 1 | no | — |
| 862 | C23 | — | 60 | 1 | no | — |
| 863 | C23 | — | 60 | 1 | no | — |
| 864 | C23 | — | 120 | 2 | no | — |
| 865 | C23 | D5×D12 | 1 | 1 | yes | characteristic |
| 866 | C23 | D5×D12 | 1 | 1 | yes | characteristic |
| 867 | C23 | D3×D20 | 1 | 1 | yes | characteristic |
| 868 | C23 | D3×D20 | 1 | 1 | yes | characteristic |
| 869 | C23 | #6790 | 1 | 1 | yes | characteristic |
| 870 | C23 | #6790 | 1 | 1 | yes | characteristic |
| 871 | C23 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 872 | Q8 | — | 30 | 4 | no | — |
| 873 | D4 | — | 6 | 2 | no | — |
| 874 | D4 | — | 6 | 2 | no | — |
| 875 | D4 | — | 6 | 2 | no | — |
| 876 | D4 | — | 6 | 2 | no | — |
| 877 | D4 | — | 10 | 2 | no | — |
| 878 | D4 | — | 10 | 2 | no | — |
| 879 | D4 | — | 10 | 2 | no | — |
| 880 | D4 | — | 10 | 2 | no | — |
| 881 | D4 | — | 30 | 4 | no | — |
| 882 | D4 | — | 30 | 4 | no | — |
| 883 | D4 | — | 30 | 4 | no | — |
| 884 | D4 | — | 30 | 2 | no | — |
| 885 | D4 | — | 30 | 2 | no | — |
| 886 | D4 | — | 30 | 2 | no | — |
| 887 | D4 | — | 30 | 2 | no | — |
| 888 | D4 | — | 60 | 8 | no | — |
| 889 | D4 | — | 60 | 8 | no | — |
| 890 | D4 | — | 60 | 8 | no | — |
| 891 | C2×C4 | — | 2 | 2 | no | — |
| 892 | C2×C4 | — | 3 | 2 | no | — |
| 893 | C2×C4 | — | 4 | 2 | no | — |
| 894 | C2×C4 | — | 5 | 2 | no | — |
| 895 | C2×C4 | — | 6 | 1 | no | — |
| 896 | C2×C4 | — | 6 | 1 | no | — |
| 897 | C2×C4 | — | 6 | 2 | no | — |
| 898 | C2×C4 | — | 10 | 1 | no | — |
| 899 | C2×C4 | — | 10 | 1 | no | — |
| 900 | C2×C4 | — | 10 | 2 | no | — |
| 901 | C2×C4 | — | 12 | 2 | no | — |
| 902 | C2×C4 | — | 15 | 2 | no | — |
| 903 | C2×C4 | — | 20 | 2 | no | — |
| 904 | C2×C4 | — | 30 | 4 | no | — |
| 905 | C2×C4 | — | 30 | 4 | no | — |
| 906 | C2×C4 | — | 30 | 4 | no | — |
| 907 | C2×C4 | — | 30 | 1 | no | — |
| 908 | C2×C4 | — | 30 | 1 | no | — |
| 909 | C2×C3 | — | 2 | 1 | no | — |
| 910 | C2×C3 | — | 2 | 1 | no | — |
| 911 | C2×C3 | — | 2 | 1 | no | — |
| 912 | C2×C3 | — | 2 | 1 | no | — |
| 913 | C2×C3 | — | 2 | 1 | no | — |
| 914 | C2×C3 | — | 2 | 1 | no | — |
| 915 | C2×C3 | — | 20 | 2 | no | — |
| 916 | C2×C3 | #65030 | 1 | 2 | yes | complemented |
| 917 | C2×C3 | C2×#4028 | 1 | 1 | yes | characteristic |
| 918 | D3 | — | 4 | 2 | no | — |
| 919 | D3 | — | 20 | 4 | no | — |
| 920 | D3 | — | 20 | 2 | no | — |
| 921 | C5 | C2×#4741 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 922 | C22 | — | 2 | 2 | no | — |
| 923 | C22 | — | 2 | 2 | no | — |
| 924 | C22 | — | 2 | 2 | no | — |
| 925 | C22 | — | 4 | 1 | no | — |
| 926 | C22 | — | 4 | 1 | no | — |
| 927 | C22 | — | 4 | 1 | no | — |
| 928 | C22 | — | 4 | 1 | no | — |
| 929 | C22 | — | 6 | 2 | no | — |
| 930 | C22 | — | 10 | 2 | no | — |
| 931 | C22 | — | 12 | 2 | no | — |
| 932 | C22 | — | 12 | 2 | no | — |
| 933 | C22 | — | 20 | 2 | no | — |
| 934 | C22 | — | 20 | 2 | no | — |
| 935 | C22 | — | 24 | 1 | no | — |
| 936 | C22 | — | 30 | 4 | no | — |
| 937 | C22 | — | 30 | 4 | no | — |
| 938 | C22 | — | 30 | 4 | no | — |
| 939 | C22 | — | 30 | 2 | no | — |
| 940 | C22 | — | 40 | 1 | no | — |
| 941 | C22 | — | 60 | 2 | no | — |
| 942 | C22 | — | 60 | 2 | no | — |
| 943 | C22 | — | 60 | 2 | no | — |
| 944 | C22 | — | 60 | 2 | no | — |
| 945 | C22 | — | 60 | 4 | no | — |
| 946 | C22 | — | 60 | 4 | no | — |
| 947 | C22 | — | 60 | 4 | no | — |
| 948 | C22 | — | 60 | 4 | no | — |
| 949 | C22 | — | 60 | 2 | no | — |
| 950 | C22 | — | 60 | 2 | no | — |
| 951 | C22 | — | 120 | 1 | no | — |
| 952 | C22 | — | 120 | 4 | no | — |
| 953 | C22 | #91476 | 1 | 1 | yes | characteristic |
| 954 | C22 | #91476 | 1 | 1 | yes | characteristic |
| 955 | C22 | #91476 | 1 | 1 | yes | characteristic |
| 956 | C22 | #91476 | 1 | 1 | yes | characteristic |
| 957 | C22 | C2×D5×D12 | 1 | 1 | yes | characteristic |
| 958 | C22 | C2×D3×D20 | 1 | 1 | yes | characteristic |
| 959 | C22 | C2×#6790 | 1 | 1 | yes | characteristic |
| 960 | C4 | — | 4 | 2 | no | — |
| 961 | C4 | — | 6 | 2 | no | — |
| 962 | C4 | — | 10 | 2 | no | — |
| 963 | C4 | — | 12 | 2 | no | — |
| 964 | C4 | — | 20 | 2 | no | — |
| 965 | C4 | — | 30 | 2 | no | — |
| 966 | C3 | C2×#65030 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 967 | C2 | — | 2 | 1 | no | — |
| 968 | C2 | — | 2 | 1 | no | — |
| 969 | C2 | — | 2 | 1 | no | — |
| 970 | C2 | — | 2 | 1 | no | — |
| 971 | C2 | — | 2 | 1 | no | — |
| 972 | C2 | — | 2 | 1 | no | — |
| 973 | C2 | — | 12 | 2 | no | — |
| 974 | C2 | — | 20 | 2 | no | — |
| 975 | C2 | — | 60 | 4 | no | — |
| 976 | C2 | — | 60 | 2 | no | — |
| 977 | C2 | #11747137 | 1 | 2 | yes | direct product factor |
| 978 | C2 | C2×#91476 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#92049 | C2 | semidirect |
| 2. C2×#91771 | C2 | semidirect |
| 3. C2×#91573 | C2 | semidirect |
| 4. C2×#91572 | C2 | semidirect |
| 5. C2×C5×#806 | C2 | semidirect |
| 6. C2×C3×#3938 | C2 | semidirect |
| 7. C2×#90997 | C2 | semidirect |
| 8. #11747137 | C2 | direct (N × H) |
| 10. C24×D15 | C22 | semidirect |
| 18. #92049 | C22 | semidirect |
| 27. C2×C3×C5×C22⋊C4 | C22 | semidirect |
| 30. #91771 | C22 | semidirect |
| 31. C2×C5×#217 | C22 | semidirect |
| 32. C2×C3×C22⋊Dic5 | C22 | semidirect |
| 34. #91573 | C22 | semidirect |
| 36. #91572 | C22 | semidirect |
| 39. C5×#806 | C22 | semidirect |
| 40. C3×#3938 | C22 | semidirect |
| 41. #90997 | C22 | semidirect |
| 49. C2×#3938 | D3 | semidirect |
| 59. C23×D15 | D4 | semidirect |
| 60. C23×D15 | C23 | semidirect |
| 61. C23×C5×D3 | D4 | semidirect |
| 62. C23×C3×D5 | D4 | semidirect |
| 69. C2×#1220 | D4 | semidirect |
| 71. C22×Dic15 | D4 | semidirect |
| 78. C2×C5×#67 | D4 | semidirect |
| 81. C22×C5×Dic3 | D4 | semidirect |
| 86. C2×C3×C22⋊D5 | D4 | semidirect |
| 89. C22×C3×Dic5 | D4 | semidirect |
| 114. C3×C5×C22⋊C4 | C23 | semidirect |
| 117. C5×#217 | C23 | semidirect |
| 119. C3×C22⋊Dic5 | C23 | semidirect |
| 128. C2×#806 | D5 | semidirect |
| 148. C2×C5×C22⋊C4 | C2×D3 | semidirect |
| 149. C2×C22⋊Dic5 | C2×D3 | semidirect |
| 161. #3938 | C2×D3 | semidirect |
| 191. C22×D15 | C2×D4 | semidirect |
| 195. C22×C5×D3 | C2×D4 | semidirect |
| 199. C22×C3×D5 | C2×D4 | semidirect |
| 210. C2×Dic15 | C2×D4 | semidirect |
| 220. C2×C5×Dic3 | C2×D4 | semidirect |
| 229. C2×C3×Dic5 | C2×D4 | semidirect |
| 257. C2×C3×C22⋊C4 | C2×D5 | semidirect |
| 258. C2×#217 | C2×D5 | semidirect |
| 270. #806 | C2×D5 | semidirect |
| 283. C23×D5 | D12 | semidirect |
| 309. C2×C22⋊D5 | D12 | semidirect |
| 314. C22×Dic5 | D12 | semidirect |
| 336. C5×C22⋊C4 | C22×D3 | semidirect |
| 338. C22⋊Dic5 | C22×D3 | semidirect |
| 406. C23×D3 | D20 | semidirect |
| 432. C2×#67 | D20 | semidirect |
| 437. C22×Dic3 | D20 | semidirect |
| 459. C3×C22⋊C4 | C22×D5 | semidirect |
| 461. #217 | C22×D5 | semidirect |
| 503. C22×D5 | C2×D12 | semidirect |
| 534. C2×Dic5 | C2×D12 | semidirect |
| 569. C2×C22⋊C4 | D3×D5 | semidirect |
| 579. C2×C3×C5 | B(4,𝔽2) | semidirect |
| 623. C22×D3 | C2×D20 | semidirect |
| 654. C2×Dic3 | C2×D20 | semidirect |
| 775. C22⋊C4 | C2×D3×D5 | semidirect |
| 776. C3×C5 | C2×B(4,𝔽2) | semidirect |
| 828. C2×C5 | #4741 | semidirect |
| 916. C2×C3 | #65030 | semidirect |
| 921. C5 | C2×#4741 | semidirect |
| 966. C3 | C2×#65030 | semidirect |
| 977. C2 | #11747137 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92049 | 2 |
| C2×#91771 | 2 |
| C2×#91573 | 2 |
| C2×#91572 | 2 |
| C2×C5×#806 | 2 |
| C2×C3×#3938 | 2 |
| C2×#90997 | 2 |
| #11747137 | 2 |
| C2×#65030 | 3 |
| C2×#4741 | 5 |