Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1544 conjugacy classes of subgroups.
The subgroup lattice has 1012 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11757034 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11754940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11752873 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #11750842 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#4741 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#65029 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749180 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749178 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11747137 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11747134 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11747129 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10612036 | — | 3 | 1 | no | maximal, Hall |
| 13 | #92095 | C22 | 1 | 1 | yes | characteristic |
| 14 | C5×#1004 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×#711 | C22 | 1 | 1 | yes | characteristic |
| 16 | #92049 | — | 2 | 1 | no | — |
| 17 | #92049 | C22 | 1 | 2 | yes | — |
| 18 | C22×#1203 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×#6782 | — | 2 | 1 | no | — |
| 20 | C2×#6782 | C22 | 1 | 2 | yes | — |
| 21 | #92027 | — | 2 | 2 | no | — |
| 22 | #92024 | — | 2 | 2 | no | — |
| 23 | D3×#711 | — | 2 | 2 | no | — |
| 24 | #92020 | — | 2 | 2 | no | — |
| 25 | D5×#235 | — | 2 | 1 | no | — |
| 26 | #92004 | — | 2 | 1 | no | — |
| 27 | #91826 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #91771 | C22 | 1 | 2 | yes | complemented |
| 29 | C5×#937 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C5×#882 | C22 | 1 | 2 | yes | complemented |
| 31 | C3×#4023 | C22 | 1 | 2 | yes | complemented |
| 32 | #91573 | C22 | 1 | 2 | yes | complemented |
| 33 | #91572 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #91570 | C22 | 1 | 2 | yes | complemented |
| 35 | #91568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #91567 | — | 2 | 1 | no | — |
| 37 | #91566 | — | 2 | 1 | no | — |
| 38 | #91528 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #91451 | — | 2 | 2 | no | — |
| 40 | #91448 | — | 2 | 1 | no | — |
| 41 | #91420 | — | 2 | 2 | no | — |
| 42 | #91416 | — | 2 | 2 | no | — |
| 43 | #91350 | — | 2 | 2 | no | — |
| 44 | #91326 | — | 2 | 1 | no | — |
| 45 | C3×C5×#99 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #91090 | C22 | 1 | 2 | yes | complemented |
| 47 | C5×#806 | C22 | 1 | 2 | yes | complemented |
| 48 | C3×#3966 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3×#3938 | C22 | 1 | 2 | yes | complemented |
| 50 | #90997 | C22 | 1 | 2 | yes | complemented |
| 51 | #90996 | C22 | 1 | 2 | yes | complemented |
| 52 | #78691 | — | 5 | 1 | no | maximal, Hall |
| 53 | #66285 | — | 3 | 1 | no | — |
| 54 | #65926 | — | 3 | 2 | no | — |
| 55 | #65926 | — | 3 | 1 | no | — |
| 56 | C5×B(4,𝔽2) | — | 3 | 1 | no | — |
| 57 | #65533 | — | 3 | 1 | no | — |
| 58 | #65321 | — | 3 | 1 | no | — |
| 59 | #65321 | — | 3 | 2 | no | — |
| 60 | #65030 | — | 3 | 1 | no | — |
| 61 | #65030 | — | 3 | 2 | no | — |
| 62 | #65029 | — | 3 | 2 | no | — |
| 63 | #65029 | D3 | 1 | 1 | yes | characteristic, complemented |
| 64 | C23×D15 | C23 | 1 | 1 | yes | characteristic |
| 65 | C23×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×#1220 | — | 2 | 1 | no | — |
| 68 | C2×#1220 | — | 2 | 1 | no | — |
| 69 | C2×#1220 | C23 | 1 | 2 | yes | — |
| 70 | #6819 | — | 2 | 2 | no | — |
| 71 | D4×D15 | — | 2 | 2 | no | — |
| 72 | #6817 | — | 2 | 1 | no | — |
| 73 | C2×D60 | — | 2 | 2 | no | — |
| 74 | C2×C5×#67 | — | 2 | 1 | no | — |
| 75 | C2×C5×#67 | — | 2 | 1 | no | — |
| 76 | C2×C5×#67 | C23 | 1 | 2 | yes | — |
| 77 | C5×#237 | — | 2 | 2 | no | — |
| 78 | C5×D3×D4 | — | 2 | 2 | no | — |
| 79 | C5×#235 | — | 2 | 1 | no | — |
| 80 | C2×C5×D12 | — | 2 | 2 | no | — |
| 81 | C2×C3×C22⋊D5 | D4 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2×C3×C22⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 83 | C22×C3×Dic5 | D4 | 1 | 1 | yes | characteristic, complemented |
| 84 | C22×C3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 85 | C3×#711 | — | 2 | 2 | no | — |
| 86 | C3×#711 | — | 2 | 2 | no | — |
| 87 | C2×C3×C4×D5 | D4 | 1 | 1 | yes | characteristic, complemented |
| 88 | C2×C3×Dic10 | D4 | 1 | 1 | yes | characteristic, complemented |
| 89 | #6790 | — | 2 | 2 | no | — |
| 90 | #6790 | — | 2 | 2 | no | — |
| 91 | D3×C22⋊D5 | — | 2 | 2 | no | — |
| 92 | D3×C22⋊D5 | — | 2 | 2 | no | — |
| 93 | D5×#67 | — | 2 | 2 | no | — |
| 94 | C2×#1204 | — | 2 | 1 | no | — |
| 95 | C2×#1204 | D4 | 1 | 2 | yes | complemented |
| 96 | C2×#1203 | — | 2 | 1 | no | — |
| 97 | C2×#1203 | — | 2 | 2 | no | — |
| 98 | C2×#1203 | — | 2 | 1 | no | — |
| 99 | C2×#1203 | — | 2 | 2 | no | — |
| 100 | C2×#1203 | — | 2 | 1 | no | — |
| 101 | C2×#1203 | — | 2 | 2 | no | — |
| 102 | C2×#1203 | — | 2 | 2 | no | — |
| 103 | C2×#1203 | D4 | 1 | 2 | yes | complemented |
| 104 | C2×#1202 | — | 2 | 1 | no | — |
| 105 | C2×#1201 | — | 2 | 1 | no | — |
| 106 | C2×#1200 | — | 2 | 1 | no | — |
| 107 | C2×#1200 | D4 | 1 | 2 | yes | complemented |
| 108 | #6782 | — | 2 | 2 | no | — |
| 109 | #6782 | — | 2 | 2 | no | — |
| 110 | #6782 | — | 2 | 2 | no | — |
| 111 | #6782 | — | 2 | 2 | no | — |
| 112 | #6782 | — | 2 | 2 | no | — |
| 113 | #6782 | — | 2 | 2 | no | — |
| 114 | #6782 | — | 2 | 2 | no | — |
| 115 | C2×D3×Dic5 | — | 2 | 1 | no | — |
| 116 | C2×D3×Dic5 | D4 | 1 | 2 | yes | complemented |
| 117 | #6780 | — | 2 | 2 | no | — |
| 118 | #6780 | — | 2 | 2 | no | — |
| 119 | #6779 | — | 2 | 2 | no | — |
| 120 | #6779 | — | 2 | 2 | no | — |
| 121 | D5×D12 | — | 2 | 1 | no | — |
| 122 | C4×D3×D5 | — | 2 | 2 | no | — |
| 123 | #6773 | — | 2 | 1 | no | — |
| 124 | #6772 | — | 2 | 1 | no | — |
| 125 | #6771 | — | 2 | 2 | no | — |
| 126 | D15⋊Q8 | — | 2 | 2 | no | — |
| 127 | #6769 | — | 2 | 2 | no | — |
| 128 | #6768 | — | 2 | 2 | no | — |
| 129 | D3×Dic10 | — | 2 | 2 | no | — |
| 130 | D5×Dic6 | — | 2 | 1 | no | — |
| 131 | C3×C5×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 132 | #6719 | C23 | 1 | 1 | yes | characteristic |
| 133 | #6714 | — | 2 | 1 | no | — |
| 134 | #6714 | — | 2 | 2 | no | — |
| 135 | C5×#217 | C23 | 1 | 1 | yes | characteristic |
| 136 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 137 | C5×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 138 | C3×C22⋊Dic5 | C23 | 1 | 2 | yes | — |
| 139 | C3×#683 | — | 2 | 2 | no | — |
| 140 | C3×C4×Dic5 | — | 2 | 2 | no | — |
| 141 | #6668 | — | 2 | 1 | no | — |
| 142 | #6667 | — | 2 | 2 | no | — |
| 143 | #6667 | — | 2 | 1 | no | — |
| 144 | (C2×D3)⋊Dic5 | — | 2 | 2 | no | — |
| 145 | (C2×D3)⋊Dic5 | — | 2 | 1 | no | — |
| 146 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 147 | #5964 | — | 5 | 1 | no | — |
| 148 | #5830 | — | 5 | 1 | no | — |
| 149 | #5525 | — | 5 | 2 | no | — |
| 150 | C3×#410 | — | 5 | 1 | no | — |
| 151 | #5006 | — | 5 | 2 | no | — |
| 152 | #4741 | — | 5 | 1 | no | — |
| 153 | #4741 | — | 5 | 1 | no | — |
| 154 | #4741 | — | 5 | 2 | no | — |
| 155 | #4741 | — | 5 | 1 | no | — |
| 156 | #4741 | — | 5 | 2 | no | — |
| 157 | #4741 | D5 | 1 | 1 | yes | characteristic, complemented |
| 158 | C5×H(5,𝔽2) | — | 3 | 1 | no | — |
| 159 | C22×C22⋊D5 | — | 3 | 1 | no | — |
| 160 | #4150 | — | 6 | 2 | no | — |
| 161 | #4150 | — | 6 | 1 | no | — |
| 162 | D5×#41 | — | 6 | 2 | no | — |
| 163 | D5×#41 | — | 6 | 1 | no | — |
| 164 | #4144 | — | 3 | 1 | no | — |
| 165 | #4144 | — | 3 | 2 | no | — |
| 166 | #4144 | — | 6 | 2 | no | — |
| 167 | #4144 | — | 6 | 1 | no | — |
| 168 | C2×#711 | — | 3 | 2 | no | — |
| 169 | C2×#711 | — | 6 | 2 | no | — |
| 170 | C2×#711 | — | 6 | 1 | no | — |
| 171 | C2×#711 | C2×D3 | 1 | 1 | yes | characteristic |
| 172 | C5×#120 | — | 3 | 1 | no | — |
| 173 | C5×#120 | — | 3 | 2 | no | — |
| 174 | #4099 | — | 3 | 1 | no | — |
| 175 | #4099 | — | 3 | 2 | no | — |
| 176 | #4086 | — | 6 | 2 | no | — |
| 177 | #4086 | — | 6 | 1 | no | — |
| 178 | #4085 | — | 6 | 2 | no | — |
| 179 | #4085 | — | 6 | 1 | no | — |
| 180 | #4083 | — | 3 | 1 | no | — |
| 181 | #4083 | — | 3 | 2 | no | — |
| 182 | #4031 | — | 6 | 2 | no | — |
| 183 | #4031 | — | 6 | 1 | no | — |
| 184 | #4030 | — | 6 | 2 | no | — |
| 185 | #4030 | — | 6 | 1 | no | — |
| 186 | #4028 | — | 3 | 1 | no | — |
| 187 | #4028 | — | 3 | 2 | no | — |
| 188 | #4023 | — | 3 | 1 | no | — |
| 189 | #4023 | C2×D3 | 1 | 2 | yes | complemented |
| 190 | C5×#99 | — | 3 | 2 | no | — |
| 191 | C5×#99 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 192 | #3966 | — | 3 | 2 | no | — |
| 193 | #3966 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 194 | #3938 | — | 3 | 2 | no | — |
| 195 | #3938 | — | 3 | 2 | no | — |
| 196 | #3938 | C2×D3 | 1 | 2 | yes | complemented |
| 197 | #3027 | — | 15 | 1 | no | Sylow |
| 198 | C23×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C23×C3×C5 | C24 | 1 | 1 | yes | characteristic |
| 200 | C22×D15 | — | 2 | 1 | no | — |
| 201 | C22×D15 | — | 2 | 1 | no | — |
| 202 | C22×D15 | — | 2 | 2 | no | — |
| 203 | C22×D15 | — | 8 | 1 | no | — |
| 204 | C22×D15 | C2×D4 | 1 | 2 | yes | — |
| 205 | C22×C5×D3 | — | 2 | 1 | no | — |
| 206 | C22×C5×D3 | — | 2 | 1 | no | — |
| 207 | C22×C5×D3 | — | 2 | 2 | no | — |
| 208 | C22×C5×D3 | — | 8 | 1 | no | — |
| 209 | C22×C5×D3 | C2×D4 | 1 | 2 | yes | — |
| 210 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C2×D3×D5 | — | 2 | 2 | no | — |
| 212 | C3×C5×D4 | — | 2 | 2 | no | — |
| 213 | C2×C3×C4×C5 | — | 2 | 2 | no | — |
| 214 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | #1220 | — | 2 | 2 | no | — |
| 216 | #1220 | — | 2 | 2 | no | — |
| 217 | #1220 | — | 2 | 2 | no | — |
| 218 | #1220 | — | 8 | 1 | no | — |
| 219 | C2×Dic15 | — | 2 | 1 | no | — |
| 220 | C2×Dic15 | — | 2 | 1 | no | — |
| 221 | C2×Dic15 | C2×D4 | 1 | 2 | yes | — |
| 222 | D60 | — | 2 | 1 | no | — |
| 223 | D60 | — | 8 | 2 | no | — |
| 224 | C4×D15 | — | 2 | 2 | no | — |
| 225 | Dic30 | — | 2 | 1 | no | — |
| 226 | C5×#67 | — | 2 | 2 | no | — |
| 227 | C5×#67 | — | 2 | 2 | no | — |
| 228 | C5×#67 | — | 2 | 2 | no | — |
| 229 | C5×#67 | — | 8 | 1 | no | — |
| 230 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 231 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 232 | C2×C5×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 233 | C5×D12 | — | 2 | 1 | no | — |
| 234 | C5×D12 | — | 8 | 2 | no | — |
| 235 | C4×C5×D3 | — | 2 | 2 | no | — |
| 236 | C5×Dic6 | — | 2 | 1 | no | — |
| 237 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 238 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 239 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 240 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 241 | C2×C3×Dic5 | — | 2 | 2 | no | — |
| 242 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×C3×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 246 | C2×C3×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 247 | C3×C4×D5 | — | 2 | 1 | no | — |
| 248 | C3×C4×D5 | — | 2 | 1 | no | — |
| 249 | C3×Dic10 | — | 2 | 2 | no | — |
| 250 | #1204 | — | 2 | 2 | no | — |
| 251 | #1204 | — | 2 | 2 | no | — |
| 252 | #1204 | — | 2 | 2 | no | — |
| 253 | #1203 | — | 2 | 2 | no | — |
| 254 | #1203 | — | 2 | 2 | no | — |
| 255 | #1203 | — | 2 | 2 | no | — |
| 256 | #1203 | — | 4 | 1 | no | — |
| 257 | #1203 | — | 4 | 2 | no | — |
| 258 | #1203 | — | 4 | 1 | no | — |
| 259 | #1203 | — | 8 | 2 | no | — |
| 260 | #1203 | — | 8 | 2 | no | — |
| 261 | #1202 | — | 2 | 2 | no | — |
| 262 | #1202 | — | 8 | 1 | no | — |
| 263 | #1201 | — | 2 | 2 | no | — |
| 264 | #1201 | — | 8 | 1 | no | — |
| 265 | #1200 | — | 2 | 2 | no | — |
| 266 | #1200 | — | 2 | 2 | no | — |
| 267 | #1200 | — | 2 | 2 | no | — |
| 268 | D3×Dic5 | — | 2 | 2 | no | — |
| 269 | D3×Dic5 | — | 2 | 2 | no | — |
| 270 | D3×Dic5 | — | 2 | 2 | no | — |
| 271 | D5×Dic3 | — | 2 | 2 | no | — |
| 272 | C2×C3×#41 | — | 5 | 1 | no | — |
| 273 | #1010 | — | 10 | 2 | no | — |
| 274 | #1009 | — | 10 | 2 | no | — |
| 275 | D3×#41 | — | 10 | 2 | no | — |
| 276 | D3×#41 | — | 10 | 2 | no | — |
| 277 | #1007 | — | 10 | 1 | no | — |
| 278 | #1004 | — | 5 | 1 | no | — |
| 279 | #1004 | — | 5 | 2 | no | — |
| 280 | #1004 | — | 10 | 1 | no | — |
| 281 | #1004 | C2×D5 | 1 | 1 | yes | characteristic |
| 282 | C2×#235 | — | 5 | 2 | no | — |
| 283 | C2×#235 | — | 10 | 1 | no | — |
| 284 | C2×#235 | — | 10 | 1 | no | — |
| 285 | C22×D12 | — | 5 | 1 | no | — |
| 286 | C3×#117 | — | 5 | 2 | no | — |
| 287 | #947 | — | 10 | 1 | no | — |
| 288 | #940 | — | 10 | 1 | no | — |
| 289 | #937 | — | 5 | 1 | no | — |
| 290 | #937 | — | 5 | 1 | no | — |
| 291 | #937 | — | 5 | 1 | no | — |
| 292 | #937 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 293 | #930 | — | 10 | 1 | no | — |
| 294 | #930 | — | 10 | 1 | no | — |
| 295 | #926 | — | 5 | 1 | no | — |
| 296 | #895 | — | 10 | 2 | no | — |
| 297 | #895 | — | 10 | 2 | no | — |
| 298 | #882 | — | 5 | 2 | no | — |
| 299 | #882 | — | 5 | 2 | no | — |
| 300 | #882 | — | 5 | 2 | no | — |
| 301 | #882 | C2×D5 | 1 | 2 | yes | complemented |
| 302 | #875 | — | 10 | 2 | no | — |
| 303 | #874 | — | 10 | 2 | no | — |
| 304 | C3×#99 | — | 5 | 1 | no | — |
| 305 | C3×#99 | — | 5 | 2 | no | — |
| 306 | C3×#99 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 307 | #806 | — | 5 | 2 | no | — |
| 308 | #806 | — | 5 | 2 | no | — |
| 309 | #806 | — | 5 | 2 | no | — |
| 310 | #806 | C2×D5 | 1 | 2 | yes | complemented |
| 311 | C24×C5 | — | 3 | 1 | no | — |
| 312 | C23×D5 | — | 3 | 1 | no | — |
| 313 | C5×#41 | — | 6 | 2 | no | — |
| 314 | C5×#41 | — | 6 | 1 | no | — |
| 315 | C2×C5×D4 | — | 3 | 2 | no | — |
| 316 | C2×C5×D4 | — | 6 | 2 | no | — |
| 317 | C2×C5×D4 | — | 6 | 2 | no | — |
| 318 | C2×C5×D4 | — | 6 | 1 | no | — |
| 319 | C2×C5×D4 | — | 6 | 1 | no | — |
| 320 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 321 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 322 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 323 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 324 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 325 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 326 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 327 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 328 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 329 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 330 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 331 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 332 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 333 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 334 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 335 | C2×C22⋊D5 | D12 | 1 | 1 | yes | characteristic, complemented |
| 336 | C2×C22⋊D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 337 | C22×Dic5 | — | 3 | 2 | no | — |
| 338 | C22×Dic5 | — | 6 | 1 | no | — |
| 339 | C22×Dic5 | D12 | 1 | 1 | yes | characteristic, complemented |
| 340 | C22×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 341 | #713 | — | 6 | 1 | no | — |
| 342 | Q8×D5 | — | 6 | 2 | no | — |
| 343 | Q8×D5 | — | 6 | 1 | no | — |
| 344 | #711 | — | 2 | 2 | no | — |
| 345 | #711 | — | 2 | 2 | no | — |
| 346 | #711 | — | 6 | 2 | no | — |
| 347 | #711 | — | 6 | 1 | no | — |
| 348 | #711 | — | 6 | 2 | no | — |
| 349 | #711 | — | 6 | 2 | no | — |
| 350 | #711 | — | 6 | 2 | no | — |
| 351 | #711 | — | 6 | 2 | no | — |
| 352 | #711 | — | 6 | 2 | no | — |
| 353 | #711 | — | 6 | 2 | no | — |
| 354 | #711 | — | 6 | 2 | no | — |
| 355 | #711 | — | 6 | 2 | no | — |
| 356 | #711 | — | 6 | 2 | no | — |
| 357 | #711 | — | 6 | 2 | no | — |
| 358 | D4×D5 | — | 6 | 1 | no | — |
| 359 | D4×D5 | — | 6 | 2 | no | — |
| 360 | D4×D5 | — | 6 | 2 | no | — |
| 361 | D4×D5 | — | 6 | 2 | no | — |
| 362 | D4×D5 | — | 6 | 2 | no | — |
| 363 | #709 | — | 6 | 2 | no | — |
| 364 | #709 | — | 6 | 2 | no | — |
| 365 | #709 | — | 6 | 2 | no | — |
| 366 | #709 | — | 6 | 2 | no | — |
| 367 | #709 | — | 6 | 1 | no | — |
| 368 | C2×D20 | — | 6 | 2 | no | — |
| 369 | C2×D20 | — | 6 | 1 | no | — |
| 370 | C2×C4×D5 | — | 3 | 2 | no | — |
| 371 | C2×C4×D5 | — | 6 | 2 | no | — |
| 372 | C2×C4×D5 | — | 6 | 1 | no | — |
| 373 | C2×C4×D5 | D12 | 1 | 1 | yes | characteristic, complemented |
| 374 | C2×Dic10 | — | 3 | 2 | no | — |
| 375 | C2×Dic10 | — | 6 | 2 | no | — |
| 376 | C2×Dic10 | — | 6 | 1 | no | — |
| 377 | C2×Dic10 | D12 | 1 | 1 | yes | characteristic, complemented |
| 378 | C5×C22⋊C4 | — | 3 | 1 | no | — |
| 379 | C5×C22⋊C4 | — | 6 | 2 | no | — |
| 380 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 381 | C5×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 382 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 383 | C22⋊Dic5 | — | 6 | 2 | no | — |
| 384 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 385 | C22⋊Dic5 | C22×D3 | 1 | 2 | yes | — |
| 386 | #685 | — | 6 | 2 | no | — |
| 387 | #685 | — | 6 | 2 | no | — |
| 388 | #685 | — | 6 | 1 | no | — |
| 389 | #685 | — | 6 | 1 | no | — |
| 390 | #683 | — | 2 | 2 | no | — |
| 391 | #683 | — | 6 | 1 | no | — |
| 392 | C4×Dic5 | — | 2 | 2 | no | — |
| 393 | C4×Dic5 | — | 6 | 1 | no | — |
| 394 | #585 | — | 15 | 1 | no | — |
| 395 | #535 | — | 15 | 2 | no | — |
| 396 | #535 | — | 15 | 1 | no | — |
| 397 | B(4,𝔽2) | — | 3 | 1 | no | — |
| 398 | B(4,𝔽2) | — | 15 | 2 | no | — |
| 399 | B(4,𝔽2) | — | 15 | 1 | no | — |
| 400 | B(4,𝔽2) | — | 15 | 2 | no | — |
| 401 | B(4,𝔽2) | — | 15 | 1 | no | — |
| 402 | B(4,𝔽2) | — | 15 | 1 | no | — |
| 403 | #410 | — | 5 | 1 | no | — |
| 404 | #410 | — | 15 | 2 | no | — |
| 405 | C22×C3×C5 | — | 2 | 1 | no | — |
| 406 | C22×C3×C5 | — | 4 | 1 | no | — |
| 407 | C22×C3×C5 | — | 4 | 1 | no | — |
| 408 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 409 | C22×C3×C5 | C22×D4 | 1 | 2 | yes | — |
| 410 | C2×D15 | — | 2 | 2 | no | — |
| 411 | C2×D15 | — | 4 | 2 | no | — |
| 412 | C2×D15 | — | 4 | 1 | no | — |
| 413 | C2×D15 | — | 4 | 2 | no | — |
| 414 | C2×D15 | — | 4 | 2 | no | — |
| 415 | C2×D15 | — | 4 | 1 | no | — |
| 416 | C2×D15 | — | 4 | 1 | no | — |
| 417 | C2×D15 | — | 8 | 1 | no | — |
| 418 | C2×C5×D3 | — | 2 | 2 | no | — |
| 419 | C2×C5×D3 | — | 4 | 2 | no | — |
| 420 | C2×C5×D3 | — | 4 | 1 | no | — |
| 421 | C2×C5×D3 | — | 4 | 2 | no | — |
| 422 | C2×C5×D3 | — | 4 | 2 | no | — |
| 423 | C2×C5×D3 | — | 4 | 1 | no | — |
| 424 | C2×C5×D3 | — | 4 | 1 | no | — |
| 425 | C2×C5×D3 | — | 8 | 1 | no | — |
| 426 | C2×C3×D5 | — | 2 | 1 | no | — |
| 427 | C2×C3×D5 | — | 4 | 1 | no | — |
| 428 | D3×D5 | — | 8 | 2 | no | — |
| 429 | C3×C4×C5 | — | 2 | 1 | no | — |
| 430 | C3×C4×C5 | — | 4 | 2 | no | — |
| 431 | Dic15 | — | 2 | 2 | no | — |
| 432 | Dic15 | — | 4 | 1 | no | — |
| 433 | C3×Dic5 | — | 2 | 1 | no | — |
| 434 | C3×Dic5 | — | 4 | 2 | no | — |
| 435 | C3×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 436 | C3×Dic5 | #120 | 1 | 2 | yes | — |
| 437 | C3×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 438 | C5×Dic3 | — | 2 | 2 | no | — |
| 439 | C5×Dic3 | — | 4 | 1 | no | — |
| 440 | C23×D3 | — | 5 | 1 | no | — |
| 441 | C23×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 442 | C3×#41 | — | 10 | 2 | no | — |
| 443 | C3×#41 | — | 10 | 2 | no | — |
| 444 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 445 | C2×C3×D4 | — | 5 | 1 | no | — |
| 446 | C2×C3×D4 | — | 5 | 1 | no | — |
| 447 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 448 | C22×C3×C4 | — | 5 | 1 | no | — |
| 449 | C22×C3×C4 | — | 5 | 1 | no | — |
| 450 | C22×C3×C4 | — | 5 | 1 | no | — |
| 451 | C2×#67 | — | 2 | 1 | no | — |
| 452 | C2×#67 | — | 2 | 1 | no | — |
| 453 | C2×#67 | — | 5 | 2 | no | — |
| 454 | C2×#67 | — | 10 | 1 | no | — |
| 455 | C2×#67 | — | 10 | 2 | no | — |
| 456 | C2×#67 | — | 10 | 1 | no | — |
| 457 | C2×#67 | — | 10 | 1 | no | — |
| 458 | C2×#67 | — | 10 | 1 | no | — |
| 459 | C2×#67 | C22×D5 | 1 | 2 | yes | — |
| 460 | #239 | — | 10 | 2 | no | — |
| 461 | #239 | — | 10 | 2 | no | — |
| 462 | D3×Q8 | — | 10 | 2 | no | — |
| 463 | D3×Q8 | — | 10 | 2 | no | — |
| 464 | #237 | — | 2 | 2 | no | — |
| 465 | #237 | — | 10 | 2 | no | — |
| 466 | #237 | — | 10 | 2 | no | — |
| 467 | #237 | — | 10 | 2 | no | — |
| 468 | #237 | — | 10 | 2 | no | — |
| 469 | #237 | — | 10 | 2 | no | — |
| 470 | D3×D4 | — | 2 | 2 | no | — |
| 471 | D3×D4 | — | 10 | 2 | no | — |
| 472 | D3×D4 | — | 10 | 2 | no | — |
| 473 | D3×D4 | — | 10 | 2 | no | — |
| 474 | D3×D4 | — | 10 | 2 | no | — |
| 475 | D3×D4 | — | 10 | 2 | no | — |
| 476 | #235 | — | 2 | 1 | no | — |
| 477 | #235 | — | 10 | 1 | no | — |
| 478 | #235 | — | 10 | 2 | no | — |
| 479 | #235 | — | 10 | 1 | no | — |
| 480 | #235 | — | 10 | 2 | no | — |
| 481 | #235 | — | 10 | 2 | no | — |
| 482 | #235 | — | 10 | 2 | no | — |
| 483 | #235 | — | 10 | 2 | no | — |
| 484 | #235 | — | 10 | 2 | no | — |
| 485 | #235 | — | 10 | 2 | no | — |
| 486 | #235 | — | 10 | 2 | no | — |
| 487 | #235 | — | 10 | 1 | no | — |
| 488 | C2×D12 | — | 2 | 2 | no | — |
| 489 | C2×D12 | — | 5 | 2 | no | — |
| 490 | C2×D12 | — | 10 | 1 | no | — |
| 491 | C2×D12 | — | 10 | 1 | no | — |
| 492 | C2×D12 | — | 10 | 2 | no | — |
| 493 | C2×D12 | — | 10 | 2 | no | — |
| 494 | C2×D12 | — | 10 | 1 | no | — |
| 495 | C2×D12 | — | 10 | 1 | no | — |
| 496 | C2×D12 | — | 10 | 2 | no | — |
| 497 | C2×D12 | — | 10 | 2 | no | — |
| 498 | C2×D12 | — | 10 | 2 | no | — |
| 499 | C2×C4×D3 | — | 5 | 2 | no | — |
| 500 | C2×C4×D3 | — | 5 | 2 | no | — |
| 501 | C2×C4×D3 | — | 10 | 2 | no | — |
| 502 | C2×C4×D3 | — | 10 | 1 | no | — |
| 503 | C2×C4×D3 | — | 10 | 1 | no | — |
| 504 | C2×Dic6 | — | 5 | 2 | no | — |
| 505 | C2×Dic6 | — | 10 | 1 | no | — |
| 506 | C2×Dic6 | — | 10 | 1 | no | — |
| 507 | C3×C4⋊C4 | — | 10 | 2 | no | — |
| 508 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 509 | C3×C22⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 510 | C3×C42 | — | 10 | 2 | no | — |
| 511 | #217 | — | 5 | 1 | no | — |
| 512 | #217 | C22×D5 | 1 | 1 | yes | characteristic |
| 513 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 514 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 515 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 516 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 517 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 518 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 519 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 520 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 521 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 522 | C4×Dic3 | — | 10 | 1 | no | — |
| 523 | C23×C5 | — | 3 | 2 | no | — |
| 524 | C23×C5 | — | 6 | 1 | no | — |
| 525 | C23×C5 | — | 6 | 1 | no | — |
| 526 | C23×C5 | — | 6 | 2 | no | — |
| 527 | C23×C5 | — | 24 | 1 | no | — |
| 528 | C23×C5 | C2×D12 | 1 | 1 | yes | characteristic |
| 529 | C23×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 530 | C22×D5 | — | 3 | 2 | no | — |
| 531 | C22×D5 | — | 6 | 2 | no | — |
| 532 | C22×D5 | — | 6 | 1 | no | — |
| 533 | C22×D5 | — | 6 | 1 | no | — |
| 534 | C22×D5 | — | 6 | 2 | no | — |
| 535 | C22×D5 | — | 24 | 1 | no | — |
| 536 | C22×D5 | C2×D12 | 1 | 1 | yes | characteristic |
| 537 | C5×Q8 | — | 6 | 1 | no | — |
| 538 | C5×D4 | — | 2 | 2 | no | — |
| 539 | C5×D4 | — | 6 | 1 | no | — |
| 540 | C5×D4 | — | 6 | 2 | no | — |
| 541 | C5×D4 | — | 6 | 2 | no | — |
| 542 | C5×D4 | — | 6 | 2 | no | — |
| 543 | C5×D4 | — | 24 | 2 | no | — |
| 544 | C5×D4 | — | 24 | 1 | no | — |
| 545 | C2×C4×C5 | — | 2 | 2 | no | — |
| 546 | C2×C4×C5 | — | 3 | 2 | no | — |
| 547 | C2×C4×C5 | — | 6 | 2 | no | — |
| 548 | C2×C4×C5 | — | 6 | 1 | no | — |
| 549 | C2×C4×C5 | — | 6 | 1 | no | — |
| 550 | C2×C4×C5 | C2×D12 | 1 | 1 | yes | characteristic |
| 551 | C22⋊D5 | — | 2 | 2 | no | — |
| 552 | C22⋊D5 | — | 2 | 2 | no | — |
| 553 | C22⋊D5 | — | 6 | 2 | no | — |
| 554 | C22⋊D5 | — | 6 | 2 | no | — |
| 555 | C22⋊D5 | — | 6 | 2 | no | — |
| 556 | C22⋊D5 | — | 6 | 2 | no | — |
| 557 | C22⋊D5 | — | 6 | 2 | no | — |
| 558 | C22⋊D5 | — | 6 | 2 | no | — |
| 559 | C22⋊D5 | — | 6 | 2 | no | — |
| 560 | C22⋊D5 | — | 12 | 2 | no | — |
| 561 | C22⋊D5 | — | 12 | 1 | no | — |
| 562 | C22⋊D5 | — | 12 | 1 | no | — |
| 563 | C22⋊D5 | — | 24 | 2 | no | — |
| 564 | C22⋊D5 | — | 24 | 2 | no | — |
| 565 | C22⋊D5 | — | 24 | 1 | no | — |
| 566 | C22⋊D5 | — | 24 | 1 | no | — |
| 567 | C2×Dic5 | — | 2 | 1 | no | — |
| 568 | C2×Dic5 | — | 2 | 1 | no | — |
| 569 | C2×Dic5 | — | 2 | 2 | no | — |
| 570 | C2×Dic5 | — | 3 | 2 | no | — |
| 571 | C2×Dic5 | — | 6 | 2 | no | — |
| 572 | C2×Dic5 | — | 6 | 1 | no | — |
| 573 | C2×Dic5 | — | 6 | 2 | no | — |
| 574 | C2×Dic5 | — | 6 | 2 | no | — |
| 575 | C2×Dic5 | — | 6 | 1 | no | — |
| 576 | C2×Dic5 | C2×D12 | 1 | 1 | yes | characteristic |
| 577 | C2×Dic5 | C2×D12 | 1 | 1 | yes | characteristic |
| 578 | C2×Dic5 | C2×D12 | 1 | 1 | yes | characteristic |
| 579 | C2×Dic5 | D3×D4 | 1 | 2 | yes | — |
| 580 | C2×Dic5 | D3×D4 | 1 | 2 | yes | — |
| 581 | D20 | — | 6 | 1 | no | — |
| 582 | D20 | — | 6 | 2 | no | — |
| 583 | D20 | — | 24 | 2 | no | — |
| 584 | D20 | — | 24 | 1 | no | — |
| 585 | C4×D5 | — | 2 | 1 | no | — |
| 586 | C4×D5 | — | 2 | 1 | no | — |
| 587 | C4×D5 | — | 6 | 2 | no | — |
| 588 | C4×D5 | — | 6 | 2 | no | — |
| 589 | C4×D5 | — | 6 | 2 | no | — |
| 590 | C4×D5 | — | 6 | 2 | no | — |
| 591 | C4×D5 | — | 6 | 2 | no | — |
| 592 | Dic10 | — | 2 | 2 | no | — |
| 593 | Dic10 | — | 6 | 2 | no | — |
| 594 | Dic10 | — | 6 | 1 | no | — |
| 595 | Dic10 | — | 6 | 2 | no | — |
| 596 | Dic10 | — | 6 | 2 | no | — |
| 597 | 2−1+4 | — | 30 | 1 | no | — |
| 598 | 2−1+4 | — | 30 | 2 | no | — |
| 599 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 600 | H(5,𝔽2) | — | 15 | 2 | no | — |
| 601 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 602 | H(5,𝔽2) | — | 30 | 1 | no | — |
| 603 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 604 | C2×#41 | — | 5 | 1 | no | — |
| 605 | C2×#41 | — | 15 | 2 | no | — |
| 606 | C2×#41 | — | 30 | 1 | no | — |
| 607 | C2×#41 | — | 30 | 1 | no | — |
| 608 | C2×#41 | — | 30 | 2 | no | — |
| 609 | C2×#41 | — | 30 | 2 | no | — |
| 610 | C22×D4 | — | 15 | 1 | no | — |
| 611 | #127 | — | 30 | 2 | no | — |
| 612 | #127 | — | 30 | 1 | no | — |
| 613 | #124 | — | 30 | 2 | no | — |
| 614 | #124 | — | 30 | 1 | no | — |
| 615 | #121 | — | 30 | 2 | no | — |
| 616 | #121 | — | 30 | 1 | no | — |
| 617 | #121 | — | 30 | 2 | no | — |
| 618 | #121 | — | 30 | 1 | no | — |
| 619 | #120 | — | 3 | 1 | no | — |
| 620 | #120 | — | 3 | 2 | no | — |
| 621 | #120 | — | 15 | 1 | no | — |
| 622 | #120 | — | 15 | 2 | no | — |
| 623 | #120 | — | 15 | 2 | no | — |
| 624 | #120 | — | 15 | 1 | no | — |
| 625 | #120 | — | 15 | 1 | no | — |
| 626 | #120 | — | 15 | 2 | no | — |
| 627 | #117 | — | 5 | 2 | no | — |
| 628 | #117 | — | 15 | 1 | no | — |
| 629 | #99 | — | 3 | 2 | no | — |
| 630 | #99 | — | 5 | 1 | no | — |
| 631 | #99 | — | 5 | 2 | no | — |
| 632 | #99 | — | 15 | 2 | no | — |
| 633 | #99 | — | 15 | 2 | no | — |
| 634 | #99 | — | 15 | 2 | no | — |
| 635 | #99 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 636 | C2×C3×C5 | — | 2 | 1 | no | — |
| 637 | C2×C3×C5 | — | 2 | 2 | no | — |
| 638 | C2×C3×C5 | — | 4 | 1 | no | — |
| 639 | C2×C3×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 640 | D15 | — | 4 | 2 | no | — |
| 641 | D15 | — | 8 | 1 | no | — |
| 642 | C3×D5 | — | 4 | 1 | no | — |
| 643 | C5×D3 | — | 4 | 2 | no | — |
| 644 | C5×D3 | — | 8 | 1 | no | — |
| 645 | C23×C3 | — | 5 | 1 | no | — |
| 646 | C23×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 647 | C23×C3 | C23×D5 | 1 | 1 | yes | characteristic |
| 648 | C22×D3 | — | 2 | 1 | no | — |
| 649 | C22×D3 | — | 2 | 2 | no | — |
| 650 | C22×D3 | — | 2 | 1 | no | — |
| 651 | C22×D3 | — | 5 | 2 | no | — |
| 652 | C22×D3 | — | 8 | 1 | no | — |
| 653 | C22×D3 | — | 10 | 2 | no | — |
| 654 | C22×D3 | — | 10 | 1 | no | — |
| 655 | C22×D3 | — | 10 | 2 | no | — |
| 656 | C22×D3 | — | 10 | 1 | no | — |
| 657 | C22×D3 | — | 40 | 1 | no | — |
| 658 | C22×D3 | D4×D5 | 1 | 2 | yes | — |
| 659 | C3×Q8 | — | 10 | 2 | no | — |
| 660 | C3×D4 | — | 2 | 2 | no | — |
| 661 | C3×D4 | — | 10 | 2 | no | — |
| 662 | C3×D4 | — | 10 | 2 | no | — |
| 663 | C2×C3×C4 | — | 2 | 2 | no | — |
| 664 | C2×C3×C4 | — | 5 | 1 | no | — |
| 665 | C2×C3×C4 | — | 5 | 1 | no | — |
| 666 | C2×C3×C4 | — | 5 | 2 | no | — |
| 667 | C2×C3×C4 | — | 5 | 2 | no | — |
| 668 | C2×C3×C4 | — | 5 | 1 | no | — |
| 669 | C2×C3×C4 | — | 10 | 1 | no | — |
| 670 | C2×C3×C4 | — | 10 | 1 | no | — |
| 671 | C2×C3×C4 | — | 10 | 1 | no | — |
| 672 | C2×C3×C4 | — | 10 | 1 | no | — |
| 673 | C2×C3×C4 | — | 10 | 2 | no | — |
| 674 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 675 | #67 | — | 2 | 2 | no | — |
| 676 | #67 | — | 2 | 2 | no | — |
| 677 | #67 | — | 2 | 2 | no | — |
| 678 | #67 | — | 8 | 1 | no | — |
| 679 | #67 | — | 10 | 2 | no | — |
| 680 | #67 | — | 10 | 2 | no | — |
| 681 | #67 | — | 10 | 2 | no | — |
| 682 | #67 | — | 10 | 2 | no | — |
| 683 | #67 | — | 10 | 2 | no | — |
| 684 | #67 | — | 40 | 1 | no | — |
| 685 | #67 | — | 40 | 1 | no | — |
| 686 | #67 | — | 40 | 1 | no | — |
| 687 | C2×Dic3 | — | 2 | 1 | no | — |
| 688 | C2×Dic3 | — | 2 | 1 | no | — |
| 689 | C2×Dic3 | — | 5 | 2 | no | — |
| 690 | C2×Dic3 | — | 10 | 2 | no | — |
| 691 | C2×Dic3 | — | 10 | 1 | no | — |
| 692 | C2×Dic3 | — | 10 | 1 | no | — |
| 693 | C2×Dic3 | D4×D5 | 1 | 2 | yes | — |
| 694 | D12 | — | 2 | 1 | no | — |
| 695 | D12 | — | 8 | 2 | no | — |
| 696 | D12 | — | 10 | 1 | no | — |
| 697 | D12 | — | 10 | 2 | no | — |
| 698 | D12 | — | 10 | 2 | no | — |
| 699 | D12 | — | 10 | 2 | no | — |
| 700 | D12 | — | 20 | 1 | no | — |
| 701 | D12 | — | 20 | 2 | no | — |
| 702 | D12 | — | 20 | 1 | no | — |
| 703 | D12 | — | 40 | 2 | no | — |
| 704 | D12 | — | 40 | 2 | no | — |
| 705 | D12 | — | 40 | 2 | no | — |
| 706 | C4×D3 | — | 2 | 2 | no | — |
| 707 | C4×D3 | — | 10 | 2 | no | — |
| 708 | C4×D3 | — | 10 | 2 | no | — |
| 709 | C4×D3 | — | 10 | 2 | no | — |
| 710 | C4×D3 | — | 10 | 2 | no | — |
| 711 | C4×D3 | — | 10 | 2 | no | — |
| 712 | C4×D3 | — | 10 | 2 | no | — |
| 713 | C4×D3 | — | 10 | 2 | no | — |
| 714 | Dic6 | — | 2 | 1 | no | — |
| 715 | Dic6 | — | 10 | 2 | no | — |
| 716 | Dic6 | — | 10 | 2 | no | — |
| 717 | Dic6 | — | 10 | 2 | no | — |
| 718 | Dic6 | — | 10 | 1 | no | — |
| 719 | C22×C5 | — | 2 | 1 | no | — |
| 720 | C22×C5 | — | 4 | 1 | no | — |
| 721 | C22×C5 | — | 4 | 1 | no | — |
| 722 | C22×C5 | — | 6 | 2 | no | — |
| 723 | C22×C5 | — | 12 | 2 | no | — |
| 724 | C22×C5 | — | 12 | 2 | no | — |
| 725 | C22×C5 | — | 12 | 1 | no | — |
| 726 | C22×C5 | — | 12 | 2 | no | — |
| 727 | C22×C5 | — | 12 | 1 | no | — |
| 728 | C22×C5 | — | 12 | 1 | no | — |
| 729 | C22×C5 | — | 24 | 1 | no | — |
| 730 | C22×C5 | C22×D12 | 1 | 1 | yes | characteristic |
| 731 | C22×C5 | C2×D3×D4 | 1 | 2 | yes | — |
| 732 | C2×D5 | — | 2 | 1 | no | — |
| 733 | C2×D5 | — | 4 | 1 | no | — |
| 734 | C2×D5 | — | 6 | 2 | no | — |
| 735 | C2×D5 | — | 12 | 2 | no | — |
| 736 | C2×D5 | — | 12 | 2 | no | — |
| 737 | C2×D5 | — | 12 | 1 | no | — |
| 738 | C2×D5 | — | 12 | 2 | no | — |
| 739 | C2×D5 | — | 12 | 1 | no | — |
| 740 | C2×D5 | — | 12 | 1 | no | — |
| 741 | C2×D5 | — | 24 | 2 | no | — |
| 742 | C2×D5 | — | 24 | 1 | no | — |
| 743 | C4×C5 | — | 2 | 1 | no | — |
| 744 | C4×C5 | — | 4 | 2 | no | — |
| 745 | C4×C5 | — | 6 | 2 | no | — |
| 746 | C4×C5 | — | 12 | 1 | no | — |
| 747 | Dic5 | — | 2 | 1 | no | — |
| 748 | Dic5 | — | 4 | 2 | no | — |
| 749 | Dic5 | — | 6 | 2 | no | — |
| 750 | Dic5 | — | 12 | 1 | no | — |
| 751 | Dic5 | #882 | 1 | 2 | yes | — |
| 752 | Dic5 | #882 | 1 | 1 | yes | characteristic |
| 753 | Dic5 | #882 | 1 | 1 | yes | characteristic |
| 754 | C24 | — | 3 | 1 | no | — |
| 755 | C24 | — | 15 | 1 | no | — |
| 756 | #41 | — | 6 | 2 | no | — |
| 757 | #41 | — | 6 | 1 | no | — |
| 758 | #41 | — | 10 | 2 | no | — |
| 759 | #41 | — | 10 | 2 | no | — |
| 760 | #41 | — | 30 | 2 | no | — |
| 761 | #41 | — | 30 | 2 | no | — |
| 762 | #41 | — | 30 | 2 | no | — |
| 763 | #41 | — | 30 | 2 | no | — |
| 764 | #41 | — | 30 | 2 | no | — |
| 765 | #41 | — | 30 | 2 | no | — |
| 766 | #41 | — | 30 | 2 | no | — |
| 767 | #41 | — | 30 | 2 | no | — |
| 768 | #41 | — | 30 | 2 | no | — |
| 769 | #41 | — | 30 | 1 | no | — |
| 770 | #41 | — | 30 | 2 | no | — |
| 771 | #41 | — | 30 | 2 | no | — |
| 772 | #41 | — | 30 | 1 | no | — |
| 773 | #41 | — | 30 | 2 | no | — |
| 774 | #41 | — | 30 | 2 | no | — |
| 775 | #41 | — | 30 | 2 | no | — |
| 776 | #41 | — | 30 | 2 | no | — |
| 777 | #41 | — | 30 | 1 | no | — |
| 778 | C2×Q8 | — | 5 | 1 | no | — |
| 779 | C2×Q8 | — | 15 | 2 | no | — |
| 780 | C2×Q8 | — | 30 | 1 | no | — |
| 781 | C2×Q8 | — | 30 | 2 | no | — |
| 782 | C2×Q8 | — | 30 | 1 | no | — |
| 783 | C2×Q8 | — | 30 | 2 | no | — |
| 784 | C2×D4 | — | 3 | 2 | no | — |
| 785 | C2×D4 | — | 5 | 1 | no | — |
| 786 | C2×D4 | — | 5 | 1 | no | — |
| 787 | C2×D4 | — | 6 | 2 | no | — |
| 788 | C2×D4 | — | 6 | 2 | no | — |
| 789 | C2×D4 | — | 6 | 1 | no | — |
| 790 | C2×D4 | — | 6 | 1 | no | — |
| 791 | C2×D4 | — | 15 | 2 | no | — |
| 792 | C2×D4 | — | 15 | 2 | no | — |
| 793 | C2×D4 | — | 30 | 2 | no | — |
| 794 | C2×D4 | — | 30 | 1 | no | — |
| 795 | C2×D4 | — | 30 | 2 | no | — |
| 796 | C2×D4 | — | 30 | 1 | no | — |
| 797 | C2×D4 | — | 30 | 2 | no | — |
| 798 | C2×D4 | — | 30 | 1 | no | — |
| 799 | C2×D4 | — | 30 | 1 | no | — |
| 800 | C2×D4 | — | 30 | 1 | no | — |
| 801 | C2×D4 | — | 30 | 2 | no | — |
| 802 | C2×D4 | — | 30 | 2 | no | — |
| 803 | C2×D4 | — | 30 | 2 | no | — |
| 804 | C2×D4 | — | 30 | 2 | no | — |
| 805 | C2×D4 | — | 30 | 2 | no | — |
| 806 | C2×D4 | — | 30 | 2 | no | — |
| 807 | C2×D4 | — | 30 | 2 | no | — |
| 808 | C2×D4 | — | 30 | 2 | no | — |
| 809 | C2×D4 | — | 30 | 1 | no | — |
| 810 | C2×D4 | — | 30 | 1 | no | — |
| 811 | C2×D4 | — | 30 | 1 | no | — |
| 812 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 813 | C22×C4 | — | 5 | 1 | no | — |
| 814 | C22×C4 | — | 5 | 1 | no | — |
| 815 | C22×C4 | — | 5 | 1 | no | — |
| 816 | C22×C4 | — | 15 | 2 | no | — |
| 817 | C22×C4 | — | 15 | 2 | no | — |
| 818 | C22×C4 | — | 30 | 2 | no | — |
| 819 | C22×C4 | — | 30 | 1 | no | — |
| 820 | C22×C4 | — | 30 | 1 | no | — |
| 821 | C4⋊C4 | — | 10 | 2 | no | — |
| 822 | C4⋊C4 | — | 30 | 1 | no | — |
| 823 | C22⋊C4 | — | 3 | 1 | no | — |
| 824 | C22⋊C4 | — | 5 | 2 | no | — |
| 825 | C22⋊C4 | — | 6 | 2 | no | — |
| 826 | C22⋊C4 | — | 6 | 1 | no | — |
| 827 | C22⋊C4 | — | 15 | 1 | no | — |
| 828 | C22⋊C4 | — | 30 | 2 | no | — |
| 829 | C22⋊C4 | — | 30 | 2 | no | — |
| 830 | C22⋊C4 | — | 30 | 1 | no | — |
| 831 | C22⋊C4 | — | 30 | 1 | no | — |
| 832 | C22⋊C4 | — | 30 | 2 | no | — |
| 833 | C22⋊C4 | — | 30 | 1 | no | — |
| 834 | C22⋊C4 | C2×D3×D5 | 1 | 2 | yes | — |
| 835 | C42 | — | 10 | 2 | no | — |
| 836 | C42 | — | 30 | 1 | no | — |
| 837 | C3×C5 | #3027 | 1 | 1 | yes | characteristic, complemented, Hall |
| 838 | C22×C3 | — | 2 | 1 | no | — |
| 839 | C22×C3 | — | 4 | 1 | no | — |
| 840 | C22×C3 | — | 4 | 1 | no | — |
| 841 | C22×C3 | — | 10 | 1 | no | — |
| 842 | C22×C3 | — | 20 | 1 | no | — |
| 843 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 844 | C22×C3 | C2×D4×D5 | 1 | 2 | yes | — |
| 845 | C2×D3 | — | 2 | 2 | no | — |
| 846 | C2×D3 | — | 4 | 2 | no | — |
| 847 | C2×D3 | — | 4 | 2 | no | — |
| 848 | C2×D3 | — | 4 | 2 | no | — |
| 849 | C2×D3 | — | 4 | 1 | no | — |
| 850 | C2×D3 | — | 4 | 1 | no | — |
| 851 | C2×D3 | — | 4 | 1 | no | — |
| 852 | C2×D3 | — | 8 | 1 | no | — |
| 853 | C2×D3 | — | 10 | 2 | no | — |
| 854 | C2×D3 | — | 20 | 2 | no | — |
| 855 | C2×D3 | — | 20 | 2 | no | — |
| 856 | C2×D3 | — | 20 | 2 | no | — |
| 857 | C2×D3 | — | 20 | 1 | no | — |
| 858 | C2×D3 | — | 20 | 1 | no | — |
| 859 | C2×D3 | — | 20 | 1 | no | — |
| 860 | C2×D3 | — | 40 | 2 | no | — |
| 861 | C2×D3 | — | 40 | 1 | no | — |
| 862 | C3×C4 | — | 2 | 1 | no | — |
| 863 | C3×C4 | — | 4 | 2 | no | — |
| 864 | C3×C4 | — | 5 | 1 | no | — |
| 865 | C3×C4 | — | 5 | 2 | no | — |
| 866 | C3×C4 | — | 5 | 1 | no | — |
| 867 | C3×C4 | — | 10 | 1 | no | — |
| 868 | C3×C4 | — | 20 | 2 | no | — |
| 869 | Dic3 | — | 2 | 2 | no | — |
| 870 | Dic3 | — | 4 | 1 | no | — |
| 871 | Dic3 | — | 10 | 2 | no | — |
| 872 | Dic3 | — | 20 | 1 | no | — |
| 873 | C2×C5 | — | 2 | 2 | no | — |
| 874 | C2×C5 | — | 2 | 1 | no | — |
| 875 | C2×C5 | — | 4 | 1 | no | — |
| 876 | C2×C5 | — | 12 | 2 | no | — |
| 877 | C2×C5 | — | 24 | 1 | no | — |
| 878 | C2×C5 | C2×#882 | 1 | 1 | yes | characteristic |
| 879 | D5 | — | 4 | 1 | no | — |
| 880 | D5 | — | 12 | 2 | no | — |
| 881 | D5 | — | 24 | 1 | no | — |
| 882 | C23 | — | 3 | 2 | no | — |
| 883 | C23 | — | 5 | 1 | no | — |
| 884 | C23 | — | 6 | 1 | no | — |
| 885 | C23 | — | 6 | 1 | no | — |
| 886 | C23 | — | 6 | 2 | no | — |
| 887 | C23 | — | 15 | 2 | no | — |
| 888 | C23 | — | 24 | 1 | no | — |
| 889 | C23 | — | 30 | 1 | no | — |
| 890 | C23 | — | 30 | 2 | no | — |
| 891 | C23 | — | 30 | 1 | no | — |
| 892 | C23 | — | 30 | 2 | no | — |
| 893 | C23 | — | 120 | 1 | no | — |
| 894 | C23 | D5×D12 | 1 | 1 | yes | characteristic |
| 895 | C23 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 896 | Q8 | — | 6 | 1 | no | — |
| 897 | Q8 | — | 10 | 2 | no | — |
| 898 | Q8 | — | 30 | 1 | no | — |
| 899 | Q8 | — | 30 | 2 | no | — |
| 900 | Q8 | — | 30 | 2 | no | — |
| 901 | Q8 | — | 30 | 2 | no | — |
| 902 | D4 | — | 2 | 2 | no | — |
| 903 | D4 | — | 6 | 1 | no | — |
| 904 | D4 | — | 6 | 2 | no | — |
| 905 | D4 | — | 6 | 2 | no | — |
| 906 | D4 | — | 6 | 2 | no | — |
| 907 | D4 | — | 10 | 2 | no | — |
| 908 | D4 | — | 10 | 2 | no | — |
| 909 | D4 | — | 24 | 2 | no | — |
| 910 | D4 | — | 24 | 1 | no | — |
| 911 | D4 | — | 30 | 1 | no | — |
| 912 | D4 | — | 30 | 2 | no | — |
| 913 | D4 | — | 30 | 2 | no | — |
| 914 | D4 | — | 30 | 2 | no | — |
| 915 | D4 | — | 30 | 2 | no | — |
| 916 | D4 | — | 30 | 2 | no | — |
| 917 | D4 | — | 30 | 2 | no | — |
| 918 | D4 | — | 30 | 2 | no | — |
| 919 | D4 | — | 30 | 2 | no | — |
| 920 | D4 | — | 60 | 1 | no | — |
| 921 | D4 | — | 60 | 1 | no | — |
| 922 | D4 | — | 60 | 2 | no | — |
| 923 | D4 | — | 120 | 2 | no | — |
| 924 | D4 | — | 120 | 1 | no | — |
| 925 | D4 | — | 120 | 2 | no | — |
| 926 | D4 | — | 120 | 2 | no | — |
| 927 | D4 | — | 120 | 1 | no | — |
| 928 | D4 | — | 120 | 1 | no | — |
| 929 | C2×C4 | — | 2 | 2 | no | — |
| 930 | C2×C4 | — | 3 | 2 | no | — |
| 931 | C2×C4 | — | 5 | 1 | no | — |
| 932 | C2×C4 | — | 5 | 1 | no | — |
| 933 | C2×C4 | — | 5 | 2 | no | — |
| 934 | C2×C4 | — | 5 | 2 | no | — |
| 935 | C2×C4 | — | 5 | 1 | no | — |
| 936 | C2×C4 | — | 6 | 2 | no | — |
| 937 | C2×C4 | — | 6 | 1 | no | — |
| 938 | C2×C4 | — | 6 | 1 | no | — |
| 939 | C2×C4 | — | 10 | 1 | no | — |
| 940 | C2×C4 | — | 10 | 1 | no | — |
| 941 | C2×C4 | — | 10 | 1 | no | — |
| 942 | C2×C4 | — | 10 | 1 | no | — |
| 943 | C2×C4 | — | 10 | 2 | no | — |
| 944 | C2×C4 | — | 15 | 2 | no | — |
| 945 | C2×C4 | — | 30 | 2 | no | — |
| 946 | C2×C4 | — | 30 | 2 | no | — |
| 947 | C2×C4 | — | 30 | 2 | no | — |
| 948 | C2×C4 | — | 30 | 2 | no | — |
| 949 | C2×C4 | — | 30 | 2 | no | — |
| 950 | C2×C4 | — | 30 | 2 | no | — |
| 951 | C2×C4 | — | 30 | 2 | no | — |
| 952 | C2×C4 | — | 30 | 2 | no | — |
| 953 | C2×C4 | — | 30 | 1 | no | — |
| 954 | C2×C4 | — | 30 | 1 | no | — |
| 955 | C2×C4 | D5×D12 | 1 | 1 | yes | characteristic |
| 956 | C2×C3 | — | 2 | 1 | no | — |
| 957 | C2×C3 | — | 2 | 2 | no | — |
| 958 | C2×C3 | — | 4 | 1 | no | — |
| 959 | C2×C3 | — | 20 | 1 | no | — |
| 960 | C2×C3 | D5×#120 | 1 | 1 | yes | characteristic |
| 961 | D3 | — | 4 | 2 | no | — |
| 962 | D3 | — | 8 | 1 | no | — |
| 963 | D3 | — | 20 | 2 | no | — |
| 964 | D3 | — | 40 | 1 | no | — |
| 965 | C5 | #78691 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 966 | C22 | — | 2 | 1 | no | — |
| 967 | C22 | — | 4 | 1 | no | — |
| 968 | C22 | — | 4 | 1 | no | — |
| 969 | C22 | — | 6 | 2 | no | — |
| 970 | C22 | — | 10 | 1 | no | — |
| 971 | C22 | — | 12 | 2 | no | — |
| 972 | C22 | — | 12 | 2 | no | — |
| 973 | C22 | — | 12 | 1 | no | — |
| 974 | C22 | — | 12 | 2 | no | — |
| 975 | C22 | — | 12 | 1 | no | — |
| 976 | C22 | — | 12 | 1 | no | — |
| 977 | C22 | — | 20 | 1 | no | — |
| 978 | C22 | — | 24 | 1 | no | — |
| 979 | C22 | — | 30 | 2 | no | — |
| 980 | C22 | — | 60 | 2 | no | — |
| 981 | C22 | — | 60 | 2 | no | — |
| 982 | C22 | — | 60 | 2 | no | — |
| 983 | C22 | — | 60 | 1 | no | — |
| 984 | C22 | — | 60 | 1 | no | — |
| 985 | C22 | — | 60 | 1 | no | — |
| 986 | C22 | — | 120 | 1 | no | — |
| 987 | C22 | — | 120 | 2 | no | — |
| 988 | C22 | C2×D5×D12 | 1 | 1 | yes | characteristic |
| 989 | C22 | D3×D4×D5 | 1 | 2 | yes | — |
| 990 | C4 | — | 2 | 1 | no | — |
| 991 | C4 | — | 4 | 2 | no | — |
| 992 | C4 | — | 5 | 1 | no | — |
| 993 | C4 | — | 5 | 1 | no | — |
| 994 | C4 | — | 5 | 2 | no | — |
| 995 | C4 | — | 6 | 2 | no | — |
| 996 | C4 | — | 10 | 1 | no | — |
| 997 | C4 | — | 12 | 1 | no | — |
| 998 | C4 | — | 20 | 2 | no | — |
| 999 | C4 | — | 30 | 2 | no | — |
| 1000 | C4 | — | 60 | 1 | no | — |
| 1001 | C3 | #10612036 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1002 | C2 | — | 2 | 2 | no | — |
| 1003 | C2 | — | 2 | 1 | no | — |
| 1004 | C2 | — | 4 | 1 | no | — |
| 1005 | C2 | — | 12 | 2 | no | — |
| 1006 | C2 | — | 20 | 1 | no | — |
| 1007 | C2 | — | 24 | 1 | no | — |
| 1008 | C2 | — | 60 | 2 | no | — |
| 1009 | C2 | — | 120 | 1 | no | — |
| 1010 | C2 | D5×#882 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11757034 | C2 | semidirect |
| 2. #11754940 | C2 | semidirect |
| 3. #11752873 | C2 | semidirect |
| 4. #11750842 | C2 | semidirect |
| 5. C5×#4741 | C2 | semidirect |
| 6. C3×#65029 | C2 | semidirect |
| 7. #11749180 | C2 | semidirect |
| 8. #11749178 | C2 | semidirect |
| 9. #11747137 | C2 | semidirect |
| 10. #11747134 | C2 | semidirect |
| 11. #11747129 | C2 | semidirect |
| 18. C22×#1203 | C22 | semidirect |
| 27. #91826 | C22 | semidirect |
| 28. #91771 | C22 | semidirect |
| 29. C5×#937 | C22 | semidirect |
| 30. C5×#882 | C22 | semidirect |
| 31. C3×#4023 | C22 | semidirect |
| 32. #91573 | C22 | semidirect |
| 33. #91572 | C22 | semidirect |
| 34. #91570 | C22 | semidirect |
| 35. #91568 | C22 | semidirect |
| 38. #91528 | C22 | semidirect |
| 45. C3×C5×#99 | C22 | semidirect |
| 46. #91090 | C22 | semidirect |
| 47. C5×#806 | C22 | semidirect |
| 48. C3×#3966 | C22 | semidirect |
| 49. C3×#3938 | C22 | semidirect |
| 50. #90997 | C22 | semidirect |
| 51. #90996 | C22 | semidirect |
| 63. #65029 | D3 | semidirect |
| 81. C2×C3×C22⋊D5 | D4 | semidirect |
| 83. C22×C3×Dic5 | D4 | semidirect |
| 87. C2×C3×C4×D5 | D4 | semidirect |
| 88. C2×C3×Dic10 | D4 | semidirect |
| 95. C2×#1204 | D4 | semidirect |
| 103. C2×#1203 | D4 | semidirect |
| 107. C2×#1200 | D4 | semidirect |
| 116. C2×D3×Dic5 | D4 | semidirect |
| 157. #4741 | D5 | semidirect |
| 189. #4023 | C2×D3 | semidirect |
| 191. C5×#99 | C2×D3 | semidirect |
| 193. #3966 | C2×D3 | semidirect |
| 196. #3938 | C2×D3 | semidirect |
| 292. #937 | C2×D5 | semidirect |
| 301. #882 | C2×D5 | semidirect |
| 306. C3×#99 | C2×D5 | semidirect |
| 310. #806 | C2×D5 | semidirect |
| 335. C2×C22⋊D5 | D12 | semidirect |
| 339. C22×Dic5 | D12 | semidirect |
| 373. C2×C4×D5 | D12 | semidirect |
| 377. C2×Dic10 | D12 | semidirect |
| 635. #99 | D3×D5 | semidirect |
| 837. C3×C5 | #3027 | semidirect |
| 965. C5 | #78691 | semidirect |
| 1001. C3 | #10612036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757034 | 2 |
| #11754940 | 2 |
| #11752873 | 2 |
| #11750842 | 2 |
| C5×#4741 | 2 |
| C3×#65029 | 2 |
| #11749180 | 2 |
| #11749178 | 2 |
| #11747137 | 2 |
| #11747134 | 2 |
| #11747129 | 2 |
| #10612036 | 3 |
| #78691 | 5 |