Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
2720 conjugacy classes of subgroups.
The subgroup lattice has 802 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C5×A4×#41 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | A4×#713 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | Q8×D5×A4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | A4×#711 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | D4×D5×A4 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | A4×#709 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C2×C4×D5×A4 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C22×D5×#41 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 9 | C22×D5×A4 | C22 | 1 | 3 | yes | — |
| 10 | C3×D5×#41 | — | 4 | 1 | no | maximal |
| 11 | C5×Q8×A4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C5×D4×A4 | C22 | 1 | 3 | yes | complemented |
| 13 | C2×C4×C5×A4 | C22 | 1 | 3 | yes | complemented |
| 14 | A4×C22⋊D5 | C22 | 1 | 6 | yes | complemented |
| 15 | C2×A4×Dic5 | C22 | 1 | 3 | yes | complemented |
| 16 | A4×D20 | C22 | 1 | 3 | yes | complemented |
| 17 | C4×D5×A4 | C22 | 1 | 1 | yes | characteristic |
| 18 | C4×D5×A4 | C22 | 1 | 3 | yes | — |
| 19 | C4×D5×A4 | C22 | 1 | 3 | yes | complemented |
| 20 | C4×D5×A4 | C22 | 1 | 3 | yes | complemented |
| 21 | A4×Dic10 | C22 | 1 | 3 | yes | complemented |
| 22 | C2×A4×#41 | — | 5 | 1 | no | maximal, Hall |
| 23 | C22×C5×#41 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×D5×#41 | — | 3 | 1 | no | — |
| 25 | C2×D5×#41 | — | 3 | 3 | no | — |
| 26 | C2×D5×#41 | — | 3 | 3 | no | — |
| 27 | C2×D5×#41 | — | 3 | 3 | no | — |
| 28 | C2×D5×#41 | — | 3 | 3 | no | — |
| 29 | C2×D5×#41 | — | 3 | 1 | no | — |
| 30 | C2×D5×#41 | — | 3 | 1 | no | — |
| 31 | C2×D5×#41 | — | 3 | 1 | no | — |
| 32 | C22×#713 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 33 | C22×Q8×D5 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 34 | C22×#711 | C2×C3 | 1 | 3 | yes | complemented |
| 35 | C22×D4×D5 | C2×C3 | 1 | 3 | yes | complemented |
| 36 | C22×#709 | C2×C3 | 1 | 3 | yes | complemented |
| 37 | C23×C4×D5 | C2×C3 | 1 | 3 | yes | complemented |
| 38 | C22×C5×A4 | C23 | 1 | 3 | yes | — |
| 39 | C2×D5×A4 | — | 2 | 6 | no | — |
| 40 | C2×D5×A4 | C23 | 1 | 3 | yes | — |
| 41 | C2×D5×A4 | C23 | 1 | 1 | yes | characteristic |
| 42 | C3×C5×#41 | — | 4 | 1 | no | — |
| 43 | C3×#713 | — | 4 | 1 | no | — |
| 44 | C3×Q8×D5 | — | 4 | 1 | no | — |
| 45 | C3×#711 | — | 4 | 3 | no | — |
| 46 | C3×D4×D5 | — | 4 | 3 | no | — |
| 47 | C3×#709 | — | 4 | 3 | no | — |
| 48 | C2×C3×C4×D5 | — | 4 | 3 | no | — |
| 49 | C4×C5×A4 | C23 | 1 | 3 | yes | — |
| 50 | C4×C5×A4 | C23 | 1 | 1 | yes | characteristic |
| 51 | A4×Dic5 | C23 | 1 | 3 | yes | — |
| 52 | A4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 53 | A4×#41 | — | 5 | 1 | no | — |
| 54 | A4×#41 | — | 5 | 3 | no | — |
| 55 | A4×#41 | — | 5 | 3 | no | — |
| 56 | A4×#41 | D5 | 1 | 1 | yes | characteristic, direct product factor |
| 57 | C2×Q8×A4 | — | 5 | 1 | no | — |
| 58 | C2×D4×A4 | — | 5 | 3 | no | — |
| 59 | C22×C4×A4 | — | 5 | 3 | no | — |
| 60 | C24×D5 | C22×C3 | 1 | 3 | yes | — |
| 61 | C2×C5×#41 | — | 3 | 3 | no | — |
| 62 | C2×C5×#41 | — | 3 | 3 | no | — |
| 63 | C2×C5×#41 | — | 3 | 1 | no | — |
| 64 | C2×C5×#41 | — | 3 | 1 | no | — |
| 65 | C22×C5×Q8 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 66 | C22×C5×D4 | C22×C3 | 1 | 3 | yes | complemented |
| 67 | C23×C4×C5 | C22×C3 | 1 | 3 | yes | complemented |
| 68 | C22×C22⋊D5 | C22×C3 | 1 | 6 | yes | complemented |
| 69 | C23×Dic5 | C22×C3 | 1 | 3 | yes | complemented |
| 70 | D5×#41 | — | 3 | 2 | no | — |
| 71 | D5×#41 | — | 3 | 6 | no | — |
| 72 | D5×#41 | — | 3 | 12 | no | — |
| 73 | D5×#41 | — | 3 | 6 | no | — |
| 74 | D5×#41 | — | 3 | 6 | no | — |
| 75 | D5×#41 | — | 3 | 6 | no | — |
| 76 | D5×#41 | — | 3 | 6 | no | — |
| 77 | D5×#41 | — | 3 | 6 | no | — |
| 78 | D5×#41 | — | 3 | 6 | no | — |
| 79 | D5×#41 | — | 3 | 6 | no | — |
| 80 | D5×#41 | — | 3 | 6 | no | — |
| 81 | D5×#41 | — | 3 | 2 | no | — |
| 82 | D5×#41 | — | 3 | 1 | no | — |
| 83 | D5×#41 | — | 3 | 1 | no | — |
| 84 | D5×#41 | — | 3 | 1 | no | — |
| 85 | D5×#41 | — | 3 | 3 | no | — |
| 86 | D5×#41 | — | 3 | 3 | no | — |
| 87 | D5×#41 | — | 3 | 3 | no | — |
| 88 | D5×#41 | — | 3 | 3 | no | — |
| 89 | D5×#41 | A4 | 1 | 1 | yes | characteristic, direct product factor |
| 90 | C2×#713 | — | 3 | 1 | no | — |
| 91 | C2×#713 | — | 3 | 3 | no | — |
| 92 | C2×#713 | — | 3 | 3 | no | — |
| 93 | C2×#713 | — | 3 | 1 | no | — |
| 94 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 95 | C2×Q8×D5 | — | 3 | 3 | no | — |
| 96 | C2×Q8×D5 | — | 3 | 3 | no | — |
| 97 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 98 | C2×#711 | — | 3 | 3 | no | — |
| 99 | C2×#711 | — | 3 | 3 | no | — |
| 100 | C2×#711 | — | 3 | 3 | no | — |
| 101 | C2×#711 | — | 3 | 3 | no | — |
| 102 | C2×#711 | — | 3 | 6 | no | — |
| 103 | C2×#711 | — | 3 | 6 | no | — |
| 104 | C2×D4×D5 | — | 3 | 3 | no | — |
| 105 | C2×D4×D5 | — | 3 | 3 | no | — |
| 106 | C2×D4×D5 | — | 3 | 3 | no | — |
| 107 | C2×D4×D5 | — | 3 | 6 | no | — |
| 108 | C2×D4×D5 | — | 3 | 3 | no | — |
| 109 | C2×D4×D5 | — | 3 | 6 | no | — |
| 110 | C2×#709 | — | 3 | 3 | no | — |
| 111 | C2×#709 | — | 3 | 3 | no | — |
| 112 | C2×#709 | — | 3 | 6 | no | — |
| 113 | C2×#709 | — | 3 | 3 | no | — |
| 114 | C2×#709 | — | 3 | 3 | no | — |
| 115 | C2×#709 | — | 3 | 6 | no | — |
| 116 | C22×D20 | C22×C3 | 1 | 3 | yes | complemented |
| 117 | C22×C4×D5 | — | 3 | 3 | no | — |
| 118 | C22×C4×D5 | — | 3 | 3 | no | — |
| 119 | C22×C4×D5 | — | 3 | 3 | no | — |
| 120 | C22×C4×D5 | — | 3 | 3 | no | — |
| 121 | C22×C4×D5 | — | 3 | 3 | no | — |
| 122 | C22×C4×D5 | — | 3 | 3 | no | — |
| 123 | C22×C4×D5 | — | 3 | 3 | no | — |
| 124 | C22×C4×D5 | — | 3 | 3 | no | — |
| 125 | C22×C4×D5 | C22×C3 | 1 | 1 | yes | characteristic |
| 126 | C22×C4×D5 | C22×C3 | 1 | 3 | yes | — |
| 127 | C22×C4×D5 | C22×C3 | 1 | 3 | yes | complemented |
| 128 | C22×C4×D5 | C22×C3 | 1 | 3 | yes | complemented |
| 129 | C22×Dic10 | C22×C3 | 1 | 3 | yes | complemented |
| 130 | C23×#41 | — | 5 | 1 | no | Sylow |
| 131 | C22×C3×D5 | — | 4 | 3 | no | — |
| 132 | C2×C5×A4 | — | 2 | 3 | no | — |
| 133 | C2×C5×A4 | C24 | 1 | 1 | yes | characteristic |
| 134 | D5×A4 | — | 2 | 3 | no | — |
| 135 | D5×A4 | #41 | 1 | 2 | yes | direct product factor |
| 136 | C3×C5×Q8 | — | 4 | 1 | no | — |
| 137 | C3×C5×D4 | — | 4 | 3 | no | — |
| 138 | C2×C3×C4×C5 | — | 4 | 3 | no | — |
| 139 | C3×C22⋊D5 | — | 4 | 6 | no | — |
| 140 | C2×C3×Dic5 | — | 4 | 3 | no | — |
| 141 | C3×D20 | — | 4 | 3 | no | — |
| 142 | C3×C4×D5 | — | 4 | 1 | no | — |
| 143 | C3×C4×D5 | — | 4 | 3 | no | — |
| 144 | C3×C4×D5 | — | 4 | 3 | no | — |
| 145 | C3×C4×D5 | — | 4 | 3 | no | — |
| 146 | C3×Dic10 | — | 4 | 3 | no | — |
| 147 | C23×A4 | — | 5 | 3 | no | — |
| 148 | C2×C3×#41 | — | 20 | 1 | no | — |
| 149 | Q8×A4 | — | 5 | 3 | no | — |
| 150 | Q8×A4 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 151 | D4×A4 | — | 5 | 6 | no | — |
| 152 | D4×A4 | — | 5 | 3 | no | — |
| 153 | D4×A4 | C2×D5 | 1 | 3 | yes | complemented |
| 154 | C2×C4×A4 | — | 5 | 3 | no | — |
| 155 | C2×C4×A4 | — | 5 | 1 | no | — |
| 156 | C2×C4×A4 | — | 5 | 3 | no | — |
| 157 | C2×C4×A4 | — | 5 | 3 | no | — |
| 158 | C2×C4×A4 | — | 5 | 3 | no | — |
| 159 | C2×C4×A4 | C2×D5 | 1 | 3 | yes | complemented |
| 160 | C24×C5 | C23×C3 | 1 | 3 | yes | — |
| 161 | C23×D5 | — | 2 | 6 | no | — |
| 162 | C23×D5 | — | 3 | 3 | no | — |
| 163 | C23×D5 | — | 3 | 3 | no | — |
| 164 | C23×D5 | — | 3 | 3 | no | — |
| 165 | C23×D5 | — | 3 | 3 | no | — |
| 166 | C23×D5 | — | 6 | 6 | no | — |
| 167 | C23×D5 | C23×C3 | 1 | 3 | yes | — |
| 168 | C23×D5 | C23×C3 | 1 | 1 | yes | characteristic |
| 169 | C5×#41 | — | 3 | 6 | no | — |
| 170 | C5×#41 | — | 3 | 6 | no | — |
| 171 | C5×#41 | — | 3 | 2 | no | — |
| 172 | C5×#41 | — | 3 | 1 | no | — |
| 173 | C5×#41 | — | 3 | 3 | no | — |
| 174 | C5×#41 | — | 3 | 3 | no | — |
| 175 | C5×#41 | C2×A4 | 1 | 1 | yes | characteristic, complemented |
| 176 | C2×C5×Q8 | — | 3 | 3 | no | — |
| 177 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 178 | C2×C5×D4 | — | 3 | 3 | no | — |
| 179 | C2×C5×D4 | — | 3 | 3 | no | — |
| 180 | C2×C5×D4 | — | 3 | 6 | no | — |
| 181 | C22×C4×C5 | — | 3 | 3 | no | — |
| 182 | C22×C4×C5 | — | 3 | 3 | no | — |
| 183 | C22×C4×C5 | — | 3 | 3 | no | — |
| 184 | C22×C4×C5 | — | 3 | 3 | no | — |
| 185 | C22×C4×C5 | C23×C3 | 1 | 3 | yes | — |
| 186 | C22×C4×C5 | C23×C3 | 1 | 1 | yes | characteristic |
| 187 | C2×C22⋊D5 | — | 3 | 6 | no | — |
| 188 | C2×C22⋊D5 | — | 3 | 6 | no | — |
| 189 | C2×C22⋊D5 | — | 3 | 6 | no | — |
| 190 | C2×C22⋊D5 | — | 3 | 6 | no | — |
| 191 | C22×Dic5 | — | 3 | 3 | no | — |
| 192 | C22×Dic5 | — | 3 | 3 | no | — |
| 193 | C22×Dic5 | — | 3 | 3 | no | — |
| 194 | C22×Dic5 | — | 3 | 3 | no | — |
| 195 | C22×Dic5 | C23×C3 | 1 | 3 | yes | — |
| 196 | C22×Dic5 | C23×C3 | 1 | 1 | yes | characteristic |
| 197 | #713 | — | 3 | 6 | no | — |
| 198 | #713 | — | 3 | 6 | no | — |
| 199 | #713 | — | 3 | 2 | no | — |
| 200 | #713 | — | 3 | 1 | no | — |
| 201 | #713 | — | 3 | 3 | no | — |
| 202 | #713 | — | 3 | 3 | no | — |
| 203 | #713 | C2×A4 | 1 | 1 | yes | characteristic, complemented |
| 204 | Q8×D5 | — | 3 | 2 | no | — |
| 205 | Q8×D5 | — | 3 | 6 | no | — |
| 206 | Q8×D5 | — | 3 | 6 | no | — |
| 207 | Q8×D5 | — | 3 | 1 | no | — |
| 208 | Q8×D5 | — | 3 | 3 | no | — |
| 209 | Q8×D5 | — | 3 | 3 | no | — |
| 210 | Q8×D5 | C2×A4 | 1 | 1 | yes | characteristic, complemented |
| 211 | #711 | — | 3 | 12 | no | — |
| 212 | #711 | — | 3 | 6 | no | — |
| 213 | #711 | — | 3 | 6 | no | — |
| 214 | #711 | — | 3 | 6 | no | — |
| 215 | #711 | — | 3 | 12 | no | — |
| 216 | #711 | — | 3 | 3 | no | — |
| 217 | #711 | — | 3 | 6 | no | — |
| 218 | #711 | — | 3 | 6 | no | — |
| 219 | #711 | — | 3 | 3 | no | — |
| 220 | #711 | — | 3 | 3 | no | — |
| 221 | #711 | C2×A4 | 1 | 3 | yes | complemented |
| 222 | D4×D5 | — | 3 | 12 | no | — |
| 223 | D4×D5 | — | 3 | 12 | no | — |
| 224 | D4×D5 | — | 3 | 6 | no | — |
| 225 | D4×D5 | — | 3 | 6 | no | — |
| 226 | D4×D5 | — | 3 | 6 | no | — |
| 227 | D4×D5 | — | 3 | 6 | no | — |
| 228 | D4×D5 | — | 3 | 3 | no | — |
| 229 | D4×D5 | — | 3 | 6 | no | — |
| 230 | D4×D5 | — | 3 | 3 | no | — |
| 231 | D4×D5 | — | 3 | 3 | no | — |
| 232 | D4×D5 | C2×A4 | 1 | 3 | yes | complemented |
| 233 | #709 | — | 3 | 6 | no | — |
| 234 | #709 | — | 3 | 12 | no | — |
| 235 | #709 | — | 3 | 6 | no | — |
| 236 | #709 | — | 3 | 6 | no | — |
| 237 | #709 | — | 3 | 12 | no | — |
| 238 | #709 | — | 3 | 3 | no | — |
| 239 | #709 | — | 3 | 6 | no | — |
| 240 | #709 | — | 3 | 3 | no | — |
| 241 | #709 | — | 3 | 6 | no | — |
| 242 | #709 | — | 3 | 3 | no | — |
| 243 | #709 | C2×A4 | 1 | 3 | yes | complemented |
| 244 | C2×D20 | — | 3 | 3 | no | — |
| 245 | C2×D20 | — | 3 | 6 | no | — |
| 246 | C2×D20 | — | 3 | 3 | no | — |
| 247 | C2×C4×D5 | — | 3 | 6 | no | — |
| 248 | C2×C4×D5 | — | 3 | 6 | no | — |
| 249 | C2×C4×D5 | — | 3 | 6 | no | — |
| 250 | C2×C4×D5 | — | 3 | 6 | no | — |
| 251 | C2×C4×D5 | — | 3 | 6 | no | — |
| 252 | C2×C4×D5 | — | 3 | 6 | no | — |
| 253 | C2×C4×D5 | — | 3 | 6 | no | — |
| 254 | C2×C4×D5 | — | 3 | 3 | no | — |
| 255 | C2×C4×D5 | — | 3 | 3 | no | — |
| 256 | C2×C4×D5 | — | 3 | 3 | no | — |
| 257 | C2×C4×D5 | — | 3 | 1 | no | — |
| 258 | C2×C4×D5 | — | 3 | 3 | no | — |
| 259 | C2×C4×D5 | — | 3 | 3 | no | — |
| 260 | C2×C4×D5 | — | 3 | 3 | no | — |
| 261 | C2×C4×D5 | — | 3 | 3 | no | — |
| 262 | C2×C4×D5 | — | 3 | 3 | no | — |
| 263 | C2×C4×D5 | — | 3 | 3 | no | — |
| 264 | C2×C4×D5 | — | 3 | 3 | no | — |
| 265 | C2×C4×D5 | — | 3 | 1 | no | — |
| 266 | C2×C4×D5 | — | 3 | 1 | no | — |
| 267 | C2×C4×D5 | — | 3 | 1 | no | — |
| 268 | C2×C4×D5 | — | 3 | 3 | no | — |
| 269 | C2×C4×D5 | — | 3 | 3 | no | — |
| 270 | C2×C4×D5 | — | 3 | 3 | no | — |
| 271 | C2×C4×D5 | — | 3 | 3 | no | — |
| 272 | C2×C4×D5 | — | 3 | 3 | no | — |
| 273 | C2×C4×D5 | — | 3 | 3 | no | — |
| 274 | C2×C4×D5 | — | 3 | 3 | no | — |
| 275 | C2×C4×D5 | — | 3 | 3 | no | — |
| 276 | C2×C4×D5 | — | 3 | 3 | no | — |
| 277 | C2×C4×D5 | C2×A4 | 1 | 3 | yes | complemented |
| 278 | C2×Dic10 | — | 3 | 3 | no | — |
| 279 | C2×Dic10 | — | 3 | 3 | no | — |
| 280 | C2×Dic10 | — | 3 | 6 | no | — |
| 281 | C22×#41 | — | 5 | 1 | no | — |
| 282 | C22×#41 | — | 5 | 3 | no | — |
| 283 | C22×#41 | — | 5 | 3 | no | — |
| 284 | C22×#41 | — | 15 | 1 | no | — |
| 285 | C22×#41 | — | 15 | 3 | no | — |
| 286 | C22×#41 | — | 15 | 3 | no | — |
| 287 | C22×#41 | — | 15 | 1 | no | — |
| 288 | C22×#41 | — | 15 | 3 | no | — |
| 289 | C22×#41 | — | 15 | 3 | no | — |
| 290 | C22×#41 | — | 15 | 1 | no | — |
| 291 | C22×#41 | — | 15 | 1 | no | — |
| 292 | C22×#41 | C3×D5 | 1 | 1 | yes | characteristic, complemented |
| 293 | C23×Q8 | — | 5 | 1 | no | — |
| 294 | C23×D4 | — | 5 | 3 | no | — |
| 295 | C24×C4 | — | 5 | 3 | no | — |
| 296 | C22×C3×C5 | — | 4 | 3 | no | — |
| 297 | C2×C3×D5 | — | 4 | 1 | no | — |
| 298 | C2×C3×D5 | — | 4 | 3 | no | — |
| 299 | C2×C3×D5 | — | 8 | 6 | no | — |
| 300 | C5×A4 | C2×#41 | 1 | 1 | yes | characteristic, complemented |
| 301 | C3×C4×C5 | — | 4 | 3 | no | — |
| 302 | C3×C4×C5 | — | 4 | 1 | no | — |
| 303 | C3×Dic5 | — | 4 | 3 | no | — |
| 304 | C3×Dic5 | — | 4 | 1 | no | — |
| 305 | C22×A4 | — | 5 | 1 | no | — |
| 306 | C22×A4 | — | 5 | 3 | no | — |
| 307 | C22×A4 | — | 10 | 6 | no | — |
| 308 | C22×A4 | C22×D5 | 1 | 3 | yes | — |
| 309 | C3×#41 | — | 4 | 1 | no | — |
| 310 | C3×#41 | — | 20 | 3 | no | — |
| 311 | C3×#41 | — | 20 | 3 | no | — |
| 312 | C3×#41 | — | 20 | 1 | no | — |
| 313 | C2×C3×Q8 | — | 20 | 1 | no | — |
| 314 | C2×C3×D4 | — | 20 | 3 | no | — |
| 315 | C22×C3×C4 | — | 20 | 3 | no | — |
| 316 | C4×A4 | — | 5 | 1 | no | — |
| 317 | C4×A4 | — | 5 | 3 | no | — |
| 318 | C4×A4 | C22×D5 | 1 | 1 | yes | characteristic |
| 319 | C4×A4 | C22×D5 | 1 | 3 | yes | — |
| 320 | C23×C5 | — | 2 | 3 | no | — |
| 321 | C23×C5 | — | 3 | 3 | no | — |
| 322 | C23×C5 | — | 3 | 3 | no | — |
| 323 | C23×C5 | — | 6 | 3 | no | — |
| 324 | C23×C5 | C24×C3 | 1 | 1 | yes | characteristic |
| 325 | C22×D5 | — | 2 | 3 | no | — |
| 326 | C22×D5 | — | 3 | 1 | no | — |
| 327 | C22×D5 | — | 3 | 1 | no | — |
| 328 | C22×D5 | — | 3 | 2 | no | — |
| 329 | C22×D5 | — | 3 | 6 | no | — |
| 330 | C22×D5 | — | 3 | 3 | no | — |
| 331 | C22×D5 | — | 3 | 3 | no | — |
| 332 | C22×D5 | — | 3 | 3 | no | — |
| 333 | C22×D5 | — | 3 | 3 | no | — |
| 334 | C22×D5 | — | 3 | 3 | no | — |
| 335 | C22×D5 | — | 6 | 6 | no | — |
| 336 | C22×D5 | — | 6 | 6 | no | — |
| 337 | C22×D5 | — | 6 | 6 | no | — |
| 338 | C22×D5 | — | 6 | 6 | no | — |
| 339 | C22×D5 | — | 6 | 6 | no | — |
| 340 | C22×D5 | — | 6 | 6 | no | — |
| 341 | C22×D5 | — | 6 | 6 | no | — |
| 342 | C22×D5 | — | 6 | 6 | no | — |
| 343 | C22×D5 | — | 6 | 3 | no | — |
| 344 | C22×D5 | C3×#41 | 1 | 2 | yes | complemented |
| 345 | C22×D5 | C22×A4 | 1 | 3 | yes | — |
| 346 | C5×Q8 | — | 3 | 2 | no | — |
| 347 | C5×Q8 | — | 3 | 3 | no | — |
| 348 | C5×Q8 | C22×A4 | 1 | 1 | yes | characteristic, complemented |
| 349 | C5×D4 | — | 3 | 6 | no | — |
| 350 | C5×D4 | — | 3 | 6 | no | — |
| 351 | C5×D4 | — | 3 | 3 | no | — |
| 352 | C5×D4 | C22×A4 | 1 | 3 | yes | complemented |
| 353 | C2×C4×C5 | — | 3 | 6 | no | — |
| 354 | C2×C4×C5 | — | 3 | 3 | no | — |
| 355 | C2×C4×C5 | — | 3 | 3 | no | — |
| 356 | C2×C4×C5 | — | 3 | 1 | no | — |
| 357 | C2×C4×C5 | — | 3 | 3 | no | — |
| 358 | C2×C4×C5 | — | 3 | 3 | no | — |
| 359 | C2×C4×C5 | — | 3 | 3 | no | — |
| 360 | C2×C4×C5 | — | 3 | 1 | no | — |
| 361 | C2×C4×C5 | C22×A4 | 1 | 3 | yes | complemented |
| 362 | C22⋊D5 | — | 3 | 12 | no | — |
| 363 | C22⋊D5 | — | 3 | 6 | no | — |
| 364 | C22⋊D5 | — | 3 | 6 | no | — |
| 365 | C22⋊D5 | — | 3 | 6 | no | — |
| 366 | C22⋊D5 | C22×A4 | 1 | 6 | yes | complemented |
| 367 | C2×Dic5 | — | 3 | 6 | no | — |
| 368 | C2×Dic5 | — | 3 | 3 | no | — |
| 369 | C2×Dic5 | — | 3 | 3 | no | — |
| 370 | C2×Dic5 | — | 3 | 1 | no | — |
| 371 | C2×Dic5 | — | 3 | 3 | no | — |
| 372 | C2×Dic5 | — | 3 | 3 | no | — |
| 373 | C2×Dic5 | — | 3 | 3 | no | — |
| 374 | C2×Dic5 | — | 3 | 1 | no | — |
| 375 | C2×Dic5 | C22×A4 | 1 | 3 | yes | complemented |
| 376 | D20 | — | 3 | 6 | no | — |
| 377 | D20 | — | 3 | 6 | no | — |
| 378 | D20 | — | 3 | 3 | no | — |
| 379 | D20 | C22×A4 | 1 | 3 | yes | complemented |
| 380 | C4×D5 | — | 3 | 2 | no | — |
| 381 | C4×D5 | — | 3 | 6 | no | — |
| 382 | C4×D5 | — | 3 | 6 | no | — |
| 383 | C4×D5 | — | 3 | 6 | no | — |
| 384 | C4×D5 | — | 3 | 1 | no | — |
| 385 | C4×D5 | — | 3 | 3 | no | — |
| 386 | C4×D5 | — | 3 | 3 | no | — |
| 387 | C4×D5 | — | 3 | 3 | no | — |
| 388 | C4×D5 | — | 3 | 1 | no | — |
| 389 | C4×D5 | — | 3 | 3 | no | — |
| 390 | C4×D5 | — | 3 | 3 | no | — |
| 391 | C4×D5 | — | 3 | 3 | no | — |
| 392 | C4×D5 | — | 3 | 1 | no | — |
| 393 | C4×D5 | — | 3 | 3 | no | — |
| 394 | C4×D5 | — | 3 | 3 | no | — |
| 395 | C4×D5 | — | 3 | 3 | no | — |
| 396 | C4×D5 | C22×A4 | 1 | 1 | yes | characteristic |
| 397 | C4×D5 | C22×A4 | 1 | 3 | yes | — |
| 398 | C4×D5 | C22×A4 | 1 | 3 | yes | complemented |
| 399 | C4×D5 | C22×A4 | 1 | 3 | yes | complemented |
| 400 | Dic10 | — | 3 | 6 | no | — |
| 401 | Dic10 | — | 3 | 3 | no | — |
| 402 | Dic10 | — | 3 | 6 | no | — |
| 403 | Dic10 | C22×A4 | 1 | 3 | yes | complemented |
| 404 | C25 | — | 5 | 3 | no | — |
| 405 | C2×#41 | — | 3 | 3 | no | — |
| 406 | C2×#41 | — | 3 | 3 | no | — |
| 407 | C2×#41 | — | 3 | 1 | no | — |
| 408 | C2×#41 | — | 3 | 1 | no | — |
| 409 | C2×#41 | — | 5 | 1 | no | — |
| 410 | C2×#41 | — | 15 | 3 | no | — |
| 411 | C2×#41 | — | 15 | 3 | no | — |
| 412 | C2×#41 | — | 15 | 6 | no | — |
| 413 | C2×#41 | — | 15 | 3 | no | — |
| 414 | C2×#41 | — | 15 | 6 | no | — |
| 415 | C2×#41 | — | 15 | 3 | no | — |
| 416 | C2×#41 | — | 15 | 3 | no | — |
| 417 | C2×#41 | — | 15 | 3 | no | — |
| 418 | C2×#41 | — | 15 | 3 | no | — |
| 419 | C2×#41 | — | 15 | 6 | no | — |
| 420 | C2×#41 | — | 15 | 3 | no | — |
| 421 | C2×#41 | — | 15 | 6 | no | — |
| 422 | C2×#41 | — | 15 | 3 | no | — |
| 423 | C2×#41 | — | 15 | 3 | no | — |
| 424 | C2×#41 | — | 15 | 1 | no | — |
| 425 | C2×#41 | — | 15 | 3 | no | — |
| 426 | C2×#41 | — | 15 | 3 | no | — |
| 427 | C2×#41 | — | 15 | 1 | no | — |
| 428 | C2×#41 | — | 15 | 1 | no | — |
| 429 | C2×#41 | — | 15 | 1 | no | — |
| 430 | C2×#41 | — | 15 | 3 | no | — |
| 431 | C2×#41 | — | 15 | 3 | no | — |
| 432 | C2×#41 | — | 15 | 2 | no | — |
| 433 | C2×#41 | — | 15 | 6 | no | — |
| 434 | C2×#41 | — | 15 | 6 | no | — |
| 435 | C2×#41 | — | 15 | 6 | no | — |
| 436 | C2×#41 | — | 15 | 6 | no | — |
| 437 | C2×#41 | — | 15 | 6 | no | — |
| 438 | C2×#41 | — | 15 | 12 | no | — |
| 439 | C2×#41 | — | 15 | 6 | no | — |
| 440 | C2×#41 | — | 15 | 6 | no | — |
| 441 | C2×#41 | — | 15 | 2 | no | — |
| 442 | C2×#41 | — | 15 | 6 | no | — |
| 443 | C2×#41 | — | 15 | 6 | no | — |
| 444 | C2×#41 | — | 15 | 1 | no | — |
| 445 | C22×Q8 | — | 5 | 3 | no | — |
| 446 | C22×Q8 | — | 15 | 1 | no | — |
| 447 | C22×Q8 | — | 15 | 3 | no | — |
| 448 | C22×Q8 | — | 15 | 3 | no | — |
| 449 | C22×Q8 | — | 15 | 1 | no | — |
| 450 | C22×Q8 | C2×C3×D5 | 1 | 1 | yes | characteristic, complemented |
| 451 | C22×D4 | — | 5 | 6 | no | — |
| 452 | C22×D4 | — | 5 | 3 | no | — |
| 453 | C22×D4 | — | 15 | 3 | no | — |
| 454 | C22×D4 | — | 15 | 3 | no | — |
| 455 | C22×D4 | — | 15 | 3 | no | — |
| 456 | C22×D4 | — | 15 | 3 | no | — |
| 457 | C22×D4 | — | 15 | 6 | no | — |
| 458 | C22×D4 | — | 15 | 6 | no | — |
| 459 | C22×D4 | C2×C3×D5 | 1 | 3 | yes | complemented |
| 460 | C23×C4 | — | 5 | 3 | no | — |
| 461 | C23×C4 | — | 5 | 1 | no | — |
| 462 | C23×C4 | — | 5 | 3 | no | — |
| 463 | C23×C4 | — | 5 | 3 | no | — |
| 464 | C23×C4 | — | 5 | 3 | no | — |
| 465 | C23×C4 | — | 15 | 3 | no | — |
| 466 | C23×C4 | — | 15 | 3 | no | — |
| 467 | C23×C4 | — | 15 | 3 | no | — |
| 468 | C23×C4 | — | 15 | 3 | no | — |
| 469 | C23×C4 | — | 15 | 3 | no | — |
| 470 | C23×C4 | — | 15 | 3 | no | — |
| 471 | C23×C4 | — | 15 | 3 | no | — |
| 472 | C23×C4 | — | 15 | 3 | no | — |
| 473 | C23×C4 | C2×C3×D5 | 1 | 3 | yes | complemented |
| 474 | C2×C3×C5 | — | 4 | 1 | no | — |
| 475 | C2×C3×C5 | — | 8 | 3 | no | — |
| 476 | C3×D5 | — | 4 | 2 | no | — |
| 477 | C3×D5 | — | 8 | 3 | no | — |
| 478 | C23×C3 | — | 20 | 3 | no | — |
| 479 | C2×A4 | — | 2 | 3 | no | — |
| 480 | C2×A4 | — | 5 | 2 | no | — |
| 481 | C2×A4 | — | 10 | 3 | no | — |
| 482 | C2×A4 | C23×D5 | 1 | 1 | yes | characteristic |
| 483 | C3×Q8 | — | 4 | 1 | no | — |
| 484 | C3×Q8 | — | 20 | 3 | no | — |
| 485 | C3×D4 | — | 4 | 3 | no | — |
| 486 | C3×D4 | — | 20 | 3 | no | — |
| 487 | C3×D4 | — | 20 | 6 | no | — |
| 488 | C2×C3×C4 | — | 4 | 3 | no | — |
| 489 | C2×C3×C4 | — | 20 | 1 | no | — |
| 490 | C2×C3×C4 | — | 20 | 3 | no | — |
| 491 | C2×C3×C4 | — | 20 | 3 | no | — |
| 492 | C2×C3×C4 | — | 20 | 3 | no | — |
| 493 | C2×C3×C4 | — | 20 | 3 | no | — |
| 494 | C22×C5 | — | 3 | 1 | no | — |
| 495 | C22×C5 | — | 3 | 1 | no | — |
| 496 | C22×C5 | — | 3 | 3 | no | — |
| 497 | C22×C5 | — | 6 | 3 | no | — |
| 498 | C22×C5 | — | 6 | 3 | no | — |
| 499 | C22×C5 | — | 6 | 3 | no | — |
| 500 | C22×C5 | — | 6 | 3 | no | — |
| 501 | C22×C5 | C2×C3×#41 | 1 | 1 | yes | characteristic, complemented |
| 502 | C22×C5 | C23×A4 | 1 | 3 | yes | — |
| 503 | C2×D5 | — | 2 | 6 | no | — |
| 504 | C2×D5 | — | 3 | 2 | no | — |
| 505 | C2×D5 | — | 3 | 1 | no | — |
| 506 | C2×D5 | — | 3 | 2 | no | — |
| 507 | C2×D5 | — | 3 | 2 | no | — |
| 508 | C2×D5 | — | 3 | 2 | no | — |
| 509 | C2×D5 | — | 3 | 3 | no | — |
| 510 | C2×D5 | — | 6 | 6 | no | — |
| 511 | C2×D5 | — | 6 | 3 | no | — |
| 512 | C2×D5 | — | 6 | 3 | no | — |
| 513 | C2×D5 | — | 6 | 6 | no | — |
| 514 | C2×D5 | — | 6 | 12 | no | — |
| 515 | C2×D5 | — | 6 | 6 | no | — |
| 516 | C2×D5 | — | 6 | 3 | no | — |
| 517 | C2×D5 | — | 6 | 3 | no | — |
| 518 | C2×D5 | C23×A4 | 1 | 3 | yes | — |
| 519 | C2×D5 | C23×A4 | 1 | 1 | yes | characteristic |
| 520 | C4×C5 | — | 3 | 3 | no | — |
| 521 | C4×C5 | — | 3 | 1 | no | — |
| 522 | C4×C5 | C23×A4 | 1 | 3 | yes | — |
| 523 | C4×C5 | C23×A4 | 1 | 1 | yes | characteristic |
| 524 | Dic5 | — | 3 | 3 | no | — |
| 525 | Dic5 | — | 3 | 1 | no | — |
| 526 | Dic5 | C23×A4 | 1 | 3 | yes | — |
| 527 | Dic5 | C23×A4 | 1 | 1 | yes | characteristic |
| 528 | C24 | — | 5 | 1 | no | — |
| 529 | C24 | — | 5 | 3 | no | — |
| 530 | C24 | — | 10 | 6 | no | — |
| 531 | C24 | — | 15 | 3 | no | — |
| 532 | C24 | — | 15 | 3 | no | — |
| 533 | C24 | — | 15 | 3 | no | — |
| 534 | C24 | — | 15 | 3 | no | — |
| 535 | C24 | — | 30 | 6 | no | — |
| 536 | C24 | C22×C3×D5 | 1 | 3 | yes | — |
| 537 | #41 | — | 3 | 6 | no | — |
| 538 | #41 | — | 3 | 6 | no | — |
| 539 | #41 | — | 3 | 2 | no | — |
| 540 | #41 | — | 3 | 1 | no | — |
| 541 | #41 | — | 3 | 3 | no | — |
| 542 | #41 | — | 3 | 3 | no | — |
| 543 | #41 | — | 5 | 1 | no | — |
| 544 | #41 | — | 5 | 3 | no | — |
| 545 | #41 | — | 5 | 3 | no | — |
| 546 | #41 | — | 15 | 6 | no | — |
| 547 | #41 | — | 15 | 6 | no | — |
| 548 | #41 | — | 15 | 3 | no | — |
| 549 | #41 | — | 15 | 3 | no | — |
| 550 | #41 | — | 15 | 12 | no | — |
| 551 | #41 | — | 15 | 12 | no | — |
| 552 | #41 | — | 15 | 6 | no | — |
| 553 | #41 | — | 15 | 6 | no | — |
| 554 | #41 | — | 15 | 6 | no | — |
| 555 | #41 | — | 15 | 6 | no | — |
| 556 | #41 | — | 15 | 3 | no | — |
| 557 | #41 | — | 15 | 3 | no | — |
| 558 | #41 | — | 15 | 6 | no | — |
| 559 | #41 | — | 15 | 3 | no | — |
| 560 | #41 | — | 15 | 6 | no | — |
| 561 | #41 | — | 15 | 6 | no | — |
| 562 | #41 | — | 15 | 12 | no | — |
| 563 | #41 | — | 15 | 12 | no | — |
| 564 | #41 | — | 15 | 6 | no | — |
| 565 | #41 | — | 15 | 3 | no | — |
| 566 | #41 | — | 15 | 2 | no | — |
| 567 | #41 | — | 15 | 6 | no | — |
| 568 | #41 | — | 15 | 6 | no | — |
| 569 | #41 | — | 15 | 1 | no | — |
| 570 | #41 | — | 15 | 3 | no | — |
| 571 | #41 | — | 15 | 3 | no | — |
| 572 | #41 | D5×A4 | 1 | 1 | yes | characteristic, direct product factor |
| 573 | C2×Q8 | — | 3 | 3 | no | — |
| 574 | C2×Q8 | — | 3 | 1 | no | — |
| 575 | C2×Q8 | — | 5 | 1 | no | — |
| 576 | C2×Q8 | — | 15 | 3 | no | — |
| 577 | C2×Q8 | — | 15 | 3 | no | — |
| 578 | C2×Q8 | — | 15 | 6 | no | — |
| 579 | C2×Q8 | — | 15 | 3 | no | — |
| 580 | C2×Q8 | — | 15 | 3 | no | — |
| 581 | C2×Q8 | — | 15 | 6 | no | — |
| 582 | C2×Q8 | — | 15 | 2 | no | — |
| 583 | C2×Q8 | — | 15 | 6 | no | — |
| 584 | C2×Q8 | — | 15 | 1 | no | — |
| 585 | C2×D4 | — | 3 | 3 | no | — |
| 586 | C2×D4 | — | 3 | 3 | no | — |
| 587 | C2×D4 | — | 3 | 6 | no | — |
| 588 | C2×D4 | — | 5 | 3 | no | — |
| 589 | C2×D4 | — | 15 | 3 | no | — |
| 590 | C2×D4 | — | 15 | 3 | no | — |
| 591 | C2×D4 | — | 15 | 6 | no | — |
| 592 | C2×D4 | — | 15 | 3 | no | — |
| 593 | C2×D4 | — | 15 | 6 | no | — |
| 594 | C2×D4 | — | 15 | 3 | no | — |
| 595 | C2×D4 | — | 15 | 6 | no | — |
| 596 | C2×D4 | — | 15 | 6 | no | — |
| 597 | C2×D4 | — | 15 | 6 | no | — |
| 598 | C2×D4 | — | 15 | 12 | no | — |
| 599 | C2×D4 | — | 15 | 12 | no | — |
| 600 | C2×D4 | — | 15 | 6 | no | — |
| 601 | C2×D4 | — | 15 | 6 | no | — |
| 602 | C2×D4 | — | 15 | 3 | no | — |
| 603 | C2×D4 | — | 15 | 6 | no | — |
| 604 | C2×D4 | — | 15 | 6 | no | — |
| 605 | C2×D4 | — | 15 | 6 | no | — |
| 606 | C22×C4 | — | 3 | 3 | no | — |
| 607 | C22×C4 | — | 3 | 3 | no | — |
| 608 | C22×C4 | — | 3 | 3 | no | — |
| 609 | C22×C4 | — | 3 | 3 | no | — |
| 610 | C22×C4 | — | 5 | 3 | no | — |
| 611 | C22×C4 | — | 5 | 1 | no | — |
| 612 | C22×C4 | — | 5 | 3 | no | — |
| 613 | C22×C4 | — | 15 | 1 | no | — |
| 614 | C22×C4 | — | 15 | 3 | no | — |
| 615 | C22×C4 | — | 15 | 3 | no | — |
| 616 | C22×C4 | — | 15 | 3 | no | — |
| 617 | C22×C4 | — | 15 | 3 | no | — |
| 618 | C22×C4 | — | 15 | 3 | no | — |
| 619 | C22×C4 | — | 15 | 3 | no | — |
| 620 | C22×C4 | — | 15 | 3 | no | — |
| 621 | C22×C4 | — | 15 | 3 | no | — |
| 622 | C22×C4 | — | 15 | 3 | no | — |
| 623 | C22×C4 | — | 15 | 6 | no | — |
| 624 | C22×C4 | — | 15 | 6 | no | — |
| 625 | C22×C4 | — | 15 | 6 | no | — |
| 626 | C22×C4 | — | 15 | 6 | no | — |
| 627 | C22×C4 | — | 15 | 6 | no | — |
| 628 | C22×C4 | — | 15 | 6 | no | — |
| 629 | C22×C4 | — | 15 | 6 | no | — |
| 630 | C22×C4 | — | 15 | 1 | no | — |
| 631 | C22×C4 | — | 15 | 1 | no | — |
| 632 | C22×C4 | — | 15 | 1 | no | — |
| 633 | C22×C4 | — | 15 | 3 | no | — |
| 634 | C22×C4 | — | 15 | 3 | no | — |
| 635 | C22×C4 | — | 15 | 3 | no | — |
| 636 | C22×C4 | — | 15 | 3 | no | — |
| 637 | C22×C4 | — | 15 | 3 | no | — |
| 638 | C22×C4 | — | 15 | 3 | no | — |
| 639 | C22×C4 | — | 15 | 3 | no | — |
| 640 | C22×C4 | — | 15 | 3 | no | — |
| 641 | C22×C4 | — | 15 | 3 | no | — |
| 642 | C22×C4 | — | 15 | 3 | no | — |
| 643 | C22×C4 | — | 15 | 3 | no | — |
| 644 | C22×C4 | — | 15 | 3 | no | — |
| 645 | C22×C4 | — | 15 | 3 | no | — |
| 646 | C22×C4 | — | 15 | 3 | no | — |
| 647 | C22×C4 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 648 | C22×C4 | C22×C3×D5 | 1 | 3 | yes | — |
| 649 | C3×C5 | — | 4 | 1 | no | Hall |
| 650 | C22×C3 | — | 4 | 3 | no | — |
| 651 | C22×C3 | — | 20 | 1 | no | — |
| 652 | C22×C3 | — | 20 | 3 | no | — |
| 653 | C22×C3 | — | 40 | 6 | no | — |
| 654 | A4 | D5×#41 | 1 | 1 | yes | characteristic, direct product factor |
| 655 | C3×C4 | — | 4 | 3 | no | — |
| 656 | C3×C4 | — | 4 | 1 | no | — |
| 657 | C3×C4 | — | 20 | 1 | no | — |
| 658 | C3×C4 | — | 20 | 3 | no | — |
| 659 | C2×C5 | — | 2 | 3 | no | — |
| 660 | C2×C5 | — | 3 | 1 | no | — |
| 661 | C2×C5 | — | 3 | 1 | no | — |
| 662 | C2×C5 | — | 6 | 3 | no | — |
| 663 | C2×C5 | C24×A4 | 1 | 1 | yes | characteristic |
| 664 | D5 | — | 2 | 3 | no | — |
| 665 | D5 | — | 3 | 2 | no | — |
| 666 | D5 | — | 6 | 3 | no | — |
| 667 | D5 | A4×#41 | 1 | 2 | yes | direct product factor |
| 668 | C23 | — | 2 | 3 | no | — |
| 669 | C23 | — | 3 | 3 | no | — |
| 670 | C23 | — | 3 | 3 | no | — |
| 671 | C23 | — | 5 | 3 | no | — |
| 672 | C23 | — | 5 | 2 | no | — |
| 673 | C23 | — | 6 | 3 | no | — |
| 674 | C23 | — | 10 | 3 | no | — |
| 675 | C23 | — | 15 | 1 | no | — |
| 676 | C23 | — | 15 | 3 | no | — |
| 677 | C23 | — | 15 | 3 | no | — |
| 678 | C23 | — | 15 | 3 | no | — |
| 679 | C23 | — | 15 | 1 | no | — |
| 680 | C23 | — | 15 | 2 | no | — |
| 681 | C23 | — | 15 | 6 | no | — |
| 682 | C23 | — | 15 | 3 | no | — |
| 683 | C23 | — | 15 | 3 | no | — |
| 684 | C23 | — | 30 | 3 | no | — |
| 685 | C23 | — | 30 | 6 | no | — |
| 686 | C23 | — | 30 | 6 | no | — |
| 687 | C23 | — | 30 | 6 | no | — |
| 688 | C23 | — | 30 | 6 | no | — |
| 689 | C23 | — | 30 | 6 | no | — |
| 690 | C23 | — | 30 | 6 | no | — |
| 691 | C23 | — | 30 | 6 | no | — |
| 692 | C23 | — | 30 | 6 | no | — |
| 693 | C23 | C23×C3×D5 | 1 | 1 | yes | characteristic |
| 694 | Q8 | — | 3 | 2 | no | — |
| 695 | Q8 | — | 3 | 3 | no | — |
| 696 | Q8 | — | 5 | 3 | no | — |
| 697 | Q8 | — | 15 | 6 | no | — |
| 698 | Q8 | — | 15 | 6 | no | — |
| 699 | Q8 | — | 15 | 3 | no | — |
| 700 | Q8 | C2×D5×A4 | 1 | 1 | yes | characteristic, complemented |
| 701 | D4 | — | 3 | 6 | no | — |
| 702 | D4 | — | 3 | 6 | no | — |
| 703 | D4 | — | 3 | 3 | no | — |
| 704 | D4 | — | 5 | 6 | no | — |
| 705 | D4 | — | 5 | 3 | no | — |
| 706 | D4 | — | 15 | 6 | no | — |
| 707 | D4 | — | 15 | 6 | no | — |
| 708 | D4 | — | 15 | 6 | no | — |
| 709 | D4 | — | 15 | 6 | no | — |
| 710 | D4 | — | 15 | 12 | no | — |
| 711 | D4 | — | 15 | 6 | no | — |
| 712 | D4 | — | 15 | 3 | no | — |
| 713 | D4 | C2×D5×A4 | 1 | 3 | yes | complemented |
| 714 | C2×C4 | — | 3 | 6 | no | — |
| 715 | C2×C4 | — | 3 | 3 | no | — |
| 716 | C2×C4 | — | 3 | 3 | no | — |
| 717 | C2×C4 | — | 3 | 3 | no | — |
| 718 | C2×C4 | — | 3 | 1 | no | — |
| 719 | C2×C4 | — | 3 | 3 | no | — |
| 720 | C2×C4 | — | 3 | 1 | no | — |
| 721 | C2×C4 | — | 3 | 3 | no | — |
| 722 | C2×C4 | — | 5 | 3 | no | — |
| 723 | C2×C4 | — | 5 | 3 | no | — |
| 724 | C2×C4 | — | 5 | 3 | no | — |
| 725 | C2×C4 | — | 5 | 1 | no | — |
| 726 | C2×C4 | — | 5 | 3 | no | — |
| 727 | C2×C4 | — | 15 | 1 | no | — |
| 728 | C2×C4 | — | 15 | 3 | no | — |
| 729 | C2×C4 | — | 15 | 3 | no | — |
| 730 | C2×C4 | — | 15 | 3 | no | — |
| 731 | C2×C4 | — | 15 | 1 | no | — |
| 732 | C2×C4 | — | 15 | 3 | no | — |
| 733 | C2×C4 | — | 15 | 3 | no | — |
| 734 | C2×C4 | — | 15 | 3 | no | — |
| 735 | C2×C4 | — | 15 | 2 | no | — |
| 736 | C2×C4 | — | 15 | 6 | no | — |
| 737 | C2×C4 | — | 15 | 6 | no | — |
| 738 | C2×C4 | — | 15 | 6 | no | — |
| 739 | C2×C4 | — | 15 | 1 | no | — |
| 740 | C2×C4 | — | 15 | 3 | no | — |
| 741 | C2×C4 | — | 15 | 3 | no | — |
| 742 | C2×C4 | — | 15 | 3 | no | — |
| 743 | C2×C4 | — | 15 | 6 | no | — |
| 744 | C2×C4 | — | 15 | 3 | no | — |
| 745 | C2×C4 | — | 15 | 3 | no | — |
| 746 | C2×C4 | — | 15 | 3 | no | — |
| 747 | C2×C4 | — | 15 | 1 | no | — |
| 748 | C2×C4 | — | 15 | 3 | no | — |
| 749 | C2×C4 | — | 15 | 1 | no | — |
| 750 | C2×C4 | — | 15 | 3 | no | — |
| 751 | C2×C4 | C2×D5×A4 | 1 | 3 | yes | complemented |
| 752 | C2×C3 | — | 4 | 1 | no | — |
| 753 | C2×C3 | — | 8 | 3 | no | — |
| 754 | C2×C3 | — | 20 | 2 | no | — |
| 755 | C2×C3 | — | 40 | 3 | no | — |
| 756 | C5 | C2×A4×#41 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 757 | C22 | — | 3 | 1 | no | — |
| 758 | C22 | — | 3 | 1 | no | — |
| 759 | C22 | — | 3 | 3 | no | — |
| 760 | C22 | — | 5 | 1 | no | — |
| 761 | C22 | — | 5 | 3 | no | — |
| 762 | C22 | — | 6 | 3 | no | — |
| 763 | C22 | — | 6 | 3 | no | — |
| 764 | C22 | — | 6 | 3 | no | — |
| 765 | C22 | — | 6 | 3 | no | — |
| 766 | C22 | — | 10 | 6 | no | — |
| 767 | C22 | — | 15 | 2 | no | — |
| 768 | C22 | — | 15 | 2 | no | — |
| 769 | C22 | — | 15 | 2 | no | — |
| 770 | C22 | — | 15 | 2 | no | — |
| 771 | C22 | — | 15 | 1 | no | — |
| 772 | C22 | — | 15 | 3 | no | — |
| 773 | C22 | — | 30 | 6 | no | — |
| 774 | C22 | — | 30 | 3 | no | — |
| 775 | C22 | — | 30 | 3 | no | — |
| 776 | C22 | — | 30 | 3 | no | — |
| 777 | C22 | — | 30 | 3 | no | — |
| 778 | C22 | — | 30 | 6 | no | — |
| 779 | C22 | — | 30 | 6 | no | — |
| 780 | C22 | — | 30 | 12 | no | — |
| 781 | C22 | C3×D5×#41 | 1 | 1 | yes | characteristic, complemented |
| 782 | C22 | C22×D5×A4 | 1 | 3 | yes | — |
| 783 | C4 | — | 3 | 1 | no | — |
| 784 | C4 | — | 3 | 3 | no | — |
| 785 | C4 | — | 5 | 1 | no | — |
| 786 | C4 | — | 5 | 3 | no | — |
| 787 | C4 | — | 15 | 1 | no | — |
| 788 | C4 | — | 15 | 3 | no | — |
| 789 | C4 | C22×D5×A4 | 1 | 3 | yes | — |
| 790 | C4 | C22×D5×A4 | 1 | 1 | yes | characteristic |
| 791 | C3 | — | 4 | 1 | no | Sylow |
| 792 | C2 | — | 2 | 3 | no | — |
| 793 | C2 | — | 3 | 1 | no | — |
| 794 | C2 | — | 3 | 1 | no | — |
| 795 | C2 | — | 5 | 2 | no | — |
| 796 | C2 | — | 6 | 3 | no | — |
| 797 | C2 | — | 10 | 3 | no | — |
| 798 | C2 | — | 15 | 2 | no | — |
| 799 | C2 | — | 30 | 3 | no | — |
| 800 | C2 | C23×D5×A4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C4 | C22×D5×A4 |
| commutator, socle, cosocle | C23×C5 | C24×C3 |
| Frattini | C2 | C23×D5×A4 |
| Fitting | C22×C5×#41 | C2×C3 |
| hypercenter | #41 | D5×A4 |
| hypocenter | C22×C5 | C2×C3×#41 |
| LCS | G ▷ C23×C5 ▷ C22×C5 | |
| UCS | C1 ◁ C4 ◁ #41 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C5×A4×#41 | C2 | semidirect |
| 2. A4×#713 | C2 | semidirect |
| 3. Q8×D5×A4 | C2 | semidirect |
| 4. A4×#711 | C2 | semidirect |
| 5. D4×D5×A4 | C2 | semidirect |
| 6. A4×#709 | C2 | semidirect |
| 7. C2×C4×D5×A4 | C2 | semidirect |
| 8. C22×D5×#41 | C3 | semidirect |
| 11. C5×Q8×A4 | C22 | semidirect |
| 12. C5×D4×A4 | C22 | semidirect |
| 13. C2×C4×C5×A4 | C22 | semidirect |
| 14. A4×C22⋊D5 | C22 | semidirect |
| 15. C2×A4×Dic5 | C22 | semidirect |
| 16. A4×D20 | C22 | semidirect |
| 19. C4×D5×A4 | C22 | semidirect |
| 20. C4×D5×A4 | C22 | semidirect |
| 21. A4×Dic10 | C22 | semidirect |
| 23. C22×C5×#41 | C2×C3 | semidirect |
| 32. C22×#713 | C2×C3 | semidirect |
| 33. C22×Q8×D5 | C2×C3 | semidirect |
| 34. C22×#711 | C2×C3 | semidirect |
| 35. C22×D4×D5 | C2×C3 | semidirect |
| 36. C22×#709 | C2×C3 | semidirect |
| 37. C23×C4×D5 | C2×C3 | semidirect |
| 56. A4×#41 | D5 | direct (N × H) |
| 65. C22×C5×Q8 | C22×C3 | semidirect |
| 66. C22×C5×D4 | C22×C3 | semidirect |
| 67. C23×C4×C5 | C22×C3 | semidirect |
| 68. C22×C22⋊D5 | C22×C3 | semidirect |
| 69. C23×Dic5 | C22×C3 | semidirect |
| 89. D5×#41 | A4 | direct (N × H) |
| 116. C22×D20 | C22×C3 | semidirect |
| 127. C22×C4×D5 | C22×C3 | semidirect |
| 128. C22×C4×D5 | C22×C3 | semidirect |
| 129. C22×Dic10 | C22×C3 | semidirect |
| 135. D5×A4 | #41 | direct (N × H) |
| 150. Q8×A4 | C2×D5 | semidirect |
| 153. D4×A4 | C2×D5 | semidirect |
| 159. C2×C4×A4 | C2×D5 | semidirect |
| 175. C5×#41 | C2×A4 | semidirect |
| 203. #713 | C2×A4 | semidirect |
| 210. Q8×D5 | C2×A4 | semidirect |
| 221. #711 | C2×A4 | semidirect |
| 232. D4×D5 | C2×A4 | semidirect |
| 243. #709 | C2×A4 | semidirect |
| 277. C2×C4×D5 | C2×A4 | semidirect |
| 292. C22×#41 | C3×D5 | semidirect |
| 300. C5×A4 | C2×#41 | semidirect |
| 344. C22×D5 | C3×#41 | semidirect |
| 348. C5×Q8 | C22×A4 | semidirect |
| 352. C5×D4 | C22×A4 | semidirect |
| 361. C2×C4×C5 | C22×A4 | semidirect |
| 366. C22⋊D5 | C22×A4 | semidirect |
| 375. C2×Dic5 | C22×A4 | semidirect |
| 379. D20 | C22×A4 | semidirect |
| 398. C4×D5 | C22×A4 | semidirect |
| 399. C4×D5 | C22×A4 | semidirect |
| 403. Dic10 | C22×A4 | semidirect |
| 450. C22×Q8 | C2×C3×D5 | semidirect |
| 459. C22×D4 | C2×C3×D5 | semidirect |
| 473. C23×C4 | C2×C3×D5 | semidirect |
| 501. C22×C5 | C2×C3×#41 | semidirect |
| 572. #41 | D5×A4 | direct (N × H) |
| 654. A4 | D5×#41 | direct (N × H) |
| 667. D5 | A4×#41 | direct (N × H) |
| 700. Q8 | C2×D5×A4 | semidirect |
| 713. D4 | C2×D5×A4 | semidirect |
| 751. C2×C4 | C2×D5×A4 | semidirect |
| 756. C5 | C2×A4×#41 | semidirect |
| 781. C22 | C3×D5×#41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×A4×#41 | 2 |
| A4×#713 | 2 |
| Q8×D5×A4 | 2 |
| A4×#711 | 2 |
| D4×D5×A4 | 2 |
| A4×#709 | 2 |
| C2×C4×D5×A4 | 2 |
| C22×D5×#41 | 3 |
| C3×D5×#41 | 4 |
| C2×A4×#41 | 5 |