Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1512 conjugacy classes of subgroups.
The subgroup lattice has 820 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#92026 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11754041 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | D15×#100 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#4745 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×D5×#100 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11749127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749126 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | D5×#833 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11748238 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11748231 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | D3×#3955 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10610445 | — | 3 | 1 | no | maximal, Hall |
| 13 | C2×D4×D15 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C5×#237 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×D4×D5 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#6790 | C4 | 1 | 2 | yes | — |
| 17 | C2×D5×#67 | C4 | 1 | 2 | yes | — |
| 18 | C22×#1202 | C4 | 1 | 2 | yes | — |
| 19 | C2×#6779 | C4 | 1 | 2 | yes | — |
| 20 | #92026 | — | 2 | 2 | no | — |
| 21 | #92026 | — | 2 | 2 | no | — |
| 22 | #92026 | — | 2 | 2 | no | — |
| 23 | #92026 | — | 2 | 2 | no | — |
| 24 | C2×D3×D20 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#6773 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#6771 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#6766 | C22 | 1 | 1 | yes | characteristic |
| 28 | M16×D15 | C22 | 1 | 2 | yes | complemented |
| 29 | C5×D3×M16 | C22 | 1 | 2 | yes | complemented |
| 30 | C3×D5×M16 | C22 | 1 | 2 | yes | complemented |
| 31 | #91292 | C22 | 1 | 2 | yes | complemented |
| 32 | D3×#681 | C22 | 1 | 2 | yes | complemented |
| 33 | D5×#208 | C22 | 1 | 2 | yes | complemented |
| 34 | #91268 | — | 2 | 2 | no | — |
| 35 | #91267 | — | 2 | 2 | no | — |
| 36 | #91266 | — | 2 | 2 | no | — |
| 37 | #91265 | — | 2 | 2 | no | — |
| 38 | C3×C5×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #91117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #91107 | C22 | 1 | 2 | yes | complemented |
| 41 | C5×#833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C5×#824 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#3965 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C3×#3955 | C22 | 1 | 2 | yes | complemented |
| 45 | #90962 | C22 | 1 | 2 | yes | complemented |
| 46 | #90960 | C22 | 1 | 2 | yes | complemented |
| 47 | #90958 | C22 | 1 | 2 | yes | complemented |
| 48 | #78697 | — | 5 | 1 | no | maximal, Hall |
| 49 | C2×#4149 | — | 3 | 1 | no | — |
| 50 | #66079 | — | 3 | 2 | no | — |
| 51 | C5×#413 | — | 3 | 1 | no | — |
| 52 | #65526 | — | 3 | 1 | no | — |
| 53 | C2×#3955 | — | 3 | 2 | no | — |
| 54 | #65040 | — | 3 | 2 | no | — |
| 55 | #65040 | — | 3 | 2 | no | — |
| 56 | D5×#100 | — | 3 | 1 | no | — |
| 57 | D5×#100 | — | 3 | 1 | no | — |
| 58 | D5×#100 | — | 3 | 1 | no | — |
| 59 | D5×#100 | D3 | 1 | 1 | yes | characteristic, complemented |
| 60 | C23×D15 | C2×C4 | 1 | 2 | yes | — |
| 61 | C23×C3×D5 | C2×C4 | 1 | 2 | yes | — |
| 62 | C22×D3×D5 | C2×C4 | 1 | 2 | yes | — |
| 63 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×#1220 | C2×C4 | 1 | 2 | yes | — |
| 65 | D4×D15 | — | 2 | 2 | no | — |
| 66 | D4×D15 | — | 2 | 2 | no | — |
| 67 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C4×D15 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×C5×#67 | C2×C4 | 1 | 2 | yes | — |
| 70 | C22×C5×Dic3 | C2×C4 | 1 | 2 | yes | — |
| 71 | C5×#237 | — | 2 | 2 | no | — |
| 72 | C5×#237 | — | 2 | 2 | no | — |
| 73 | C2×C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×C3×C22⋊D5 | C2×C4 | 1 | 2 | yes | — |
| 76 | C3×D4×D5 | — | 2 | 2 | no | — |
| 77 | C3×D4×D5 | — | 2 | 2 | no | — |
| 78 | C2×C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 80 | #6790 | — | 2 | 4 | no | — |
| 81 | #6790 | — | 2 | 4 | no | — |
| 82 | D5×#67 | — | 2 | 4 | no | — |
| 83 | D5×#67 | — | 2 | 4 | no | — |
| 84 | C2×#1204 | C2×C4 | 1 | 1 | yes | characteristic |
| 85 | C2×#1203 | C2×C4 | 1 | 1 | yes | characteristic |
| 86 | C2×#1202 | — | 2 | 2 | no | — |
| 87 | C2×#1202 | — | 2 | 2 | no | — |
| 88 | C2×#1202 | — | 2 | 2 | no | — |
| 89 | C2×#1202 | — | 2 | 2 | no | — |
| 90 | C2×#1202 | C2×C4 | 1 | 2 | yes | — |
| 91 | C2×#1202 | C2×C4 | 1 | 2 | yes | — |
| 92 | C2×#1202 | C2×C4 | 1 | 2 | yes | — |
| 93 | C2×#1202 | C2×C4 | 1 | 1 | yes | characteristic |
| 94 | C2×#1201 | C2×C4 | 1 | 1 | yes | characteristic |
| 95 | C2×#1200 | C2×C4 | 1 | 2 | yes | — |
| 96 | #6779 | — | 2 | 4 | no | — |
| 97 | #6779 | — | 2 | 4 | no | — |
| 98 | C2×D5×Dic3 | C2×C4 | 1 | 2 | yes | — |
| 99 | D3×D20 | — | 2 | 2 | no | — |
| 100 | D3×D20 | — | 2 | 2 | no | — |
| 101 | #6773 | — | 2 | 2 | no | — |
| 102 | #6773 | — | 2 | 2 | no | — |
| 103 | #6771 | D4 | 1 | 2 | yes | — |
| 104 | #6771 | D4 | 1 | 2 | yes | — |
| 105 | #6771 | D4 | 1 | 2 | yes | — |
| 106 | #6771 | D4 | 1 | 2 | yes | — |
| 107 | #6766 | — | 2 | 2 | no | — |
| 108 | #6766 | — | 2 | 2 | no | — |
| 109 | C3×C5×M16 | C23 | 1 | 2 | yes | — |
| 110 | #6710 | C23 | 1 | 2 | yes | — |
| 111 | #6705 | — | 2 | 2 | no | — |
| 112 | C8×D15 | — | 2 | 2 | no | — |
| 113 | C5×#208 | C23 | 1 | 2 | yes | — |
| 114 | C5×ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 115 | C5×D3×C8 | — | 2 | 2 | no | — |
| 116 | C3×#681 | C23 | 1 | 2 | yes | — |
| 117 | C3×#676 | — | 2 | 2 | no | — |
| 118 | C3×C8×D5 | — | 2 | 2 | no | — |
| 119 | #6651 | — | 2 | 2 | no | — |
| 120 | #6650 | — | 2 | 2 | no | — |
| 121 | #6649 | — | 2 | 2 | no | — |
| 122 | #6648 | — | 2 | 2 | no | — |
| 123 | D3×#168 | — | 2 | 2 | no | — |
| 124 | D5×C3⋊C8 | — | 2 | 2 | no | — |
| 125 | C2×#1004 | — | 5 | 1 | no | — |
| 126 | #5745 | — | 5 | 2 | no | — |
| 127 | C2×C3×#100 | — | 5 | 1 | no | — |
| 128 | C2×#833 | — | 5 | 1 | no | — |
| 129 | #5132 | — | 5 | 2 | no | — |
| 130 | #4745 | — | 5 | 1 | no | — |
| 131 | #4745 | — | 5 | 2 | no | — |
| 132 | #4745 | D5 | 1 | 1 | yes | characteristic, complemented |
| 133 | D3×#100 | — | 5 | 2 | no | — |
| 134 | D3×#100 | — | 5 | 1 | no | — |
| 135 | D3×#100 | — | 5 | 1 | no | — |
| 136 | C2×C5×#41 | — | 3 | 1 | no | — |
| 137 | #4149 | — | 6 | 2 | no | — |
| 138 | #4149 | — | 6 | 2 | no | — |
| 139 | #4149 | — | 6 | 2 | no | — |
| 140 | #4149 | — | 6 | 2 | no | — |
| 141 | C2×#713 | — | 3 | 1 | no | — |
| 142 | C2×#713 | — | 3 | 1 | no | — |
| 143 | C2×D4×D5 | — | 3 | 2 | no | — |
| 144 | C2×D4×D5 | — | 3 | 1 | no | — |
| 145 | C2×D4×D5 | — | 3 | 2 | no | — |
| 146 | C2×D4×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 147 | C2×#709 | — | 3 | 2 | no | — |
| 148 | C2×#709 | — | 3 | 1 | no | — |
| 149 | C22×D20 | — | 3 | 2 | no | — |
| 150 | C22×D20 | — | 3 | 1 | no | — |
| 151 | C2×C5×M16 | — | 3 | 2 | no | — |
| 152 | C2×#681 | — | 3 | 2 | no | — |
| 153 | #4053 | — | 6 | 2 | no | — |
| 154 | #4053 | — | 6 | 2 | no | — |
| 155 | D5×M16 | — | 3 | 2 | no | — |
| 156 | D5×M16 | — | 3 | 2 | no | — |
| 157 | D5×M16 | — | 3 | 2 | no | — |
| 158 | D5×M16 | C2×D3 | 1 | 2 | yes | complemented |
| 159 | #4047 | — | 6 | 2 | no | — |
| 160 | #4047 | — | 6 | 2 | no | — |
| 161 | C5×#101 | — | 3 | 2 | no | — |
| 162 | C5×#100 | — | 3 | 1 | no | — |
| 163 | C5×#100 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 164 | #3968 | — | 3 | 2 | no | — |
| 165 | #3965 | — | 3 | 1 | no | — |
| 166 | #3965 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 167 | #3955 | — | 3 | 2 | no | — |
| 168 | #3955 | — | 3 | 2 | no | — |
| 169 | #3955 | — | 3 | 2 | no | — |
| 170 | #3955 | C2×D3 | 1 | 2 | yes | complemented |
| 171 | #2888 | — | 15 | 1 | no | Sylow |
| 172 | C23×C3×C5 | C22×C4 | 1 | 2 | yes | — |
| 173 | C22×D15 | — | 2 | 2 | no | — |
| 174 | C22×D15 | — | 2 | 2 | no | — |
| 175 | C22×D15 | — | 8 | 2 | no | — |
| 176 | C22×D15 | C22×C4 | 1 | 2 | yes | — |
| 177 | C22×D15 | C22×C4 | 1 | 1 | yes | characteristic |
| 178 | C22×C5×D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 179 | C22×C3×D5 | — | 2 | 2 | no | — |
| 180 | C22×C3×D5 | — | 2 | 2 | no | — |
| 181 | C22×C3×D5 | — | 8 | 2 | no | — |
| 182 | C22×C3×D5 | C22×C4 | 1 | 2 | yes | — |
| 183 | C22×C3×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 184 | C2×D3×D5 | — | 2 | 4 | no | — |
| 185 | C2×D3×D5 | — | 8 | 2 | no | — |
| 186 | C3×C5×D4 | — | 2 | 2 | no | — |
| 187 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 188 | #1220 | — | 2 | 4 | no | — |
| 189 | C2×Dic15 | C22×C4 | 1 | 1 | yes | characteristic |
| 190 | D60 | — | 2 | 2 | no | — |
| 191 | C4×D15 | C2×D4 | 1 | 2 | yes | — |
| 192 | C4×D15 | C2×D4 | 1 | 2 | yes | — |
| 193 | C5×#67 | — | 2 | 4 | no | — |
| 194 | C2×C5×Dic3 | — | 2 | 2 | no | — |
| 195 | C2×C5×Dic3 | — | 2 | 2 | no | — |
| 196 | C2×C5×Dic3 | C22×C4 | 1 | 2 | yes | — |
| 197 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 198 | C4×C5×D3 | C2×D4 | 1 | 2 | yes | — |
| 199 | C4×C5×D3 | C2×D4 | 1 | 2 | yes | — |
| 200 | C5×Dic6 | — | 2 | 2 | no | — |
| 201 | C3×C22⋊D5 | — | 2 | 4 | no | — |
| 202 | C2×C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 203 | C3×D20 | — | 2 | 2 | no | — |
| 204 | C3×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 205 | C3×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 206 | #1204 | C22⋊C4 | 1 | 2 | yes | — |
| 207 | #1204 | C22⋊C4 | 1 | 2 | yes | — |
| 208 | #1203 | C22⋊C4 | 1 | 2 | yes | — |
| 209 | #1203 | C22⋊C4 | 1 | 2 | yes | — |
| 210 | #1202 | — | 2 | 2 | no | — |
| 211 | #1202 | — | 2 | 2 | no | — |
| 212 | #1202 | — | 2 | 2 | no | — |
| 213 | #1202 | — | 2 | 2 | no | — |
| 214 | #1202 | — | 2 | 2 | no | — |
| 215 | #1202 | — | 2 | 2 | no | — |
| 216 | #1202 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 217 | #1202 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 218 | #1202 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 219 | #1202 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 220 | #1201 | C22⋊C4 | 1 | 2 | yes | — |
| 221 | #1201 | C22⋊C4 | 1 | 2 | yes | — |
| 222 | #1200 | — | 2 | 4 | no | — |
| 223 | D5×Dic3 | — | 2 | 4 | no | — |
| 224 | C3×C5×C8 | — | 2 | 2 | no | — |
| 225 | C3⋊#168 | — | 2 | 2 | no | — |
| 226 | C3×#168 | — | 2 | 2 | no | — |
| 227 | C5×C3⋊C8 | — | 2 | 2 | no | — |
| 228 | C22×C3×D4 | — | 5 | 1 | no | — |
| 229 | C22×#67 | — | 5 | 2 | no | — |
| 230 | C22×#67 | — | 5 | 2 | no | — |
| 231 | #1004 | — | 10 | 2 | no | — |
| 232 | #1004 | — | 10 | 2 | no | — |
| 233 | #1004 | — | 10 | 2 | no | — |
| 234 | #1004 | — | 10 | 2 | no | — |
| 235 | C2×#237 | — | 5 | 2 | no | — |
| 236 | C2×#237 | — | 5 | 1 | no | — |
| 237 | C2×#237 | C2×D5 | 1 | 1 | yes | characteristic |
| 238 | C2×D3×D4 | — | 5 | 1 | no | — |
| 239 | C2×D3×D4 | — | 5 | 2 | no | — |
| 240 | C2×D3×D4 | — | 5 | 1 | no | — |
| 241 | C2×#235 | — | 5 | 1 | no | — |
| 242 | C2×#235 | — | 5 | 1 | no | — |
| 243 | C2×C3×M16 | — | 5 | 2 | no | — |
| 244 | C2×#208 | — | 5 | 2 | no | — |
| 245 | #907 | — | 10 | 2 | no | — |
| 246 | #907 | — | 10 | 2 | no | — |
| 247 | D3×M16 | — | 5 | 2 | no | — |
| 248 | D3×M16 | — | 5 | 2 | no | — |
| 249 | D3×M16 | — | 5 | 2 | no | — |
| 250 | D3×M16 | C2×D5 | 1 | 2 | yes | complemented |
| 251 | #901 | — | 10 | 2 | no | — |
| 252 | #901 | — | 10 | 2 | no | — |
| 253 | C3×#100 | — | 5 | 1 | no | — |
| 254 | C3×#100 | — | 5 | 2 | no | — |
| 255 | C3×#100 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 256 | #833 | — | 5 | 1 | no | — |
| 257 | #833 | — | 5 | 2 | no | — |
| 258 | #833 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 259 | #824 | — | 5 | 2 | no | — |
| 260 | #824 | C2×D5 | 1 | 2 | yes | complemented |
| 261 | #823 | — | 5 | 2 | no | — |
| 262 | #823 | — | 5 | 2 | no | — |
| 263 | C23×D5 | — | 3 | 2 | no | — |
| 264 | C23×D5 | — | 3 | 2 | no | — |
| 265 | C23×D5 | C4×D3 | 1 | 2 | yes | — |
| 266 | C5×#41 | — | 6 | 2 | no | — |
| 267 | C5×#41 | — | 6 | 2 | no | — |
| 268 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 269 | C2×C5×D4 | — | 3 | 2 | no | — |
| 270 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 271 | C22×C4×C5 | — | 3 | 1 | no | — |
| 272 | C22×C4×C5 | — | 3 | 2 | no | — |
| 273 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 274 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 275 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 276 | C2×C22⋊D5 | C4×D3 | 1 | 2 | yes | — |
| 277 | #713 | — | 6 | 2 | no | — |
| 278 | #713 | — | 6 | 2 | no | — |
| 279 | #713 | — | 6 | 2 | no | — |
| 280 | #713 | — | 6 | 2 | no | — |
| 281 | D4×D5 | — | 2 | 2 | no | — |
| 282 | D4×D5 | — | 2 | 2 | no | — |
| 283 | D4×D5 | — | 6 | 2 | no | — |
| 284 | D4×D5 | — | 6 | 2 | no | — |
| 285 | D4×D5 | — | 6 | 4 | no | — |
| 286 | D4×D5 | — | 6 | 4 | no | — |
| 287 | D4×D5 | — | 6 | 4 | no | — |
| 288 | D4×D5 | — | 6 | 4 | no | — |
| 289 | #709 | — | 3 | 2 | no | — |
| 290 | #709 | — | 3 | 2 | no | — |
| 291 | #709 | — | 3 | 2 | no | — |
| 292 | #709 | — | 3 | 2 | no | — |
| 293 | #709 | — | 6 | 4 | no | — |
| 294 | #709 | — | 6 | 4 | no | — |
| 295 | C2×D20 | — | 3 | 1 | no | — |
| 296 | C2×D20 | — | 3 | 2 | no | — |
| 297 | C2×D20 | — | 3 | 2 | no | — |
| 298 | C2×D20 | — | 3 | 2 | no | — |
| 299 | C2×D20 | — | 3 | 1 | no | — |
| 300 | C2×D20 | — | 6 | 2 | no | — |
| 301 | C2×D20 | — | 6 | 2 | no | — |
| 302 | C2×D20 | — | 6 | 2 | no | — |
| 303 | C2×D20 | — | 6 | 2 | no | — |
| 304 | C2×D20 | — | 6 | 2 | no | — |
| 305 | C2×D20 | — | 6 | 2 | no | — |
| 306 | C2×D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 307 | C2×C4×D5 | — | 3 | 1 | no | — |
| 308 | C2×C4×D5 | — | 3 | 2 | no | — |
| 309 | C2×C4×D5 | — | 3 | 2 | no | — |
| 310 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 311 | C2×Dic10 | — | 3 | 1 | no | — |
| 312 | C5×M16 | — | 3 | 2 | no | — |
| 313 | C5×M16 | — | 6 | 2 | no | — |
| 314 | C5×M16 | C22×D3 | 1 | 2 | yes | — |
| 315 | C2×C5×C8 | — | 6 | 2 | no | — |
| 316 | #681 | — | 3 | 2 | no | — |
| 317 | #681 | — | 6 | 2 | no | — |
| 318 | #681 | C22×D3 | 1 | 2 | yes | — |
| 319 | C2×#168 | — | 6 | 2 | no | — |
| 320 | #676 | — | 2 | 2 | no | — |
| 321 | #676 | — | 6 | 2 | no | — |
| 322 | #676 | — | 6 | 2 | no | — |
| 323 | #676 | — | 6 | 2 | no | — |
| 324 | C8×D5 | — | 2 | 2 | no | — |
| 325 | C8×D5 | — | 6 | 2 | no | — |
| 326 | C8×D5 | — | 6 | 2 | no | — |
| 327 | C8×D5 | — | 6 | 2 | no | — |
| 328 | C2×H(5,𝔽2) | — | 15 | 1 | no | — |
| 329 | #568 | — | 15 | 2 | no | — |
| 330 | #413 | — | 3 | 1 | no | — |
| 331 | #413 | — | 15 | 2 | no | — |
| 332 | #413 | — | 15 | 1 | no | — |
| 333 | #413 | — | 15 | 2 | no | — |
| 334 | C2×#100 | — | 5 | 1 | no | — |
| 335 | C2×#100 | — | 15 | 1 | no | — |
| 336 | C2×#100 | — | 15 | 1 | no | — |
| 337 | C2×#100 | — | 15 | 2 | no | — |
| 338 | C2×#100 | — | 15 | 1 | no | — |
| 339 | C22×C3×C5 | — | 2 | 2 | no | — |
| 340 | C22×C3×C5 | — | 4 | 2 | no | — |
| 341 | C22×C3×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 342 | C2×D15 | — | 2 | 2 | no | — |
| 343 | C2×D15 | — | 4 | 1 | no | — |
| 344 | C2×D15 | — | 4 | 2 | no | — |
| 345 | C2×D15 | — | 8 | 2 | no | — |
| 346 | C2×D15 | — | 8 | 2 | no | — |
| 347 | C2×D15 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 348 | C2×D15 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 349 | C2×C5×D3 | — | 4 | 1 | no | — |
| 350 | C2×C5×D3 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 351 | C2×C3×D5 | — | 2 | 2 | no | — |
| 352 | C2×C3×D5 | — | 4 | 1 | no | — |
| 353 | C2×C3×D5 | — | 4 | 2 | no | — |
| 354 | C2×C3×D5 | — | 8 | 2 | no | — |
| 355 | C2×C3×D5 | — | 8 | 2 | no | — |
| 356 | C2×C3×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 357 | C2×C3×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 358 | D3×D5 | — | 8 | 4 | no | — |
| 359 | C3×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 360 | Dic15 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 361 | C3×Dic5 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 362 | C5×Dic3 | — | 2 | 2 | no | — |
| 363 | C5×Dic3 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 364 | C5×Dic3 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 365 | C24×C3 | — | 5 | 2 | no | — |
| 366 | C23×D3 | — | 5 | 2 | no | — |
| 367 | C23×D3 | — | 5 | 2 | no | — |
| 368 | C2×C3×D4 | — | 5 | 2 | no | — |
| 369 | C2×C3×D4 | — | 5 | 1 | no | — |
| 370 | C2×C3×D4 | — | 10 | 2 | no | — |
| 371 | C2×C3×D4 | — | 10 | 2 | no | — |
| 372 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 373 | C22×C3×C4 | — | 5 | 1 | no | — |
| 374 | C2×#67 | — | 5 | 1 | no | — |
| 375 | C2×#67 | — | 5 | 2 | no | — |
| 376 | C2×#67 | — | 5 | 1 | no | — |
| 377 | C2×#67 | — | 5 | 2 | no | — |
| 378 | C2×#67 | — | 5 | 2 | no | — |
| 379 | C2×#67 | — | 5 | 2 | no | — |
| 380 | C2×#67 | — | 10 | 2 | no | — |
| 381 | C2×#67 | — | 10 | 2 | no | — |
| 382 | C2×#67 | — | 10 | 2 | no | — |
| 383 | C2×#67 | — | 10 | 2 | no | — |
| 384 | C2×#67 | — | 10 | 4 | no | — |
| 385 | C2×#67 | — | 10 | 4 | no | — |
| 386 | C2×#67 | C4×D5 | 1 | 2 | yes | — |
| 387 | C22×Dic3 | — | 5 | 2 | no | — |
| 388 | C22×Dic3 | C4×D5 | 1 | 2 | yes | — |
| 389 | #237 | — | 2 | 2 | no | — |
| 390 | #237 | — | 2 | 2 | no | — |
| 391 | #237 | — | 10 | 2 | no | — |
| 392 | #237 | — | 10 | 2 | no | — |
| 393 | #237 | — | 10 | 4 | no | — |
| 394 | #237 | — | 10 | 4 | no | — |
| 395 | D3×D4 | — | 10 | 2 | no | — |
| 396 | D3×D4 | — | 10 | 2 | no | — |
| 397 | D3×D4 | — | 10 | 4 | no | — |
| 398 | D3×D4 | — | 10 | 4 | no | — |
| 399 | D3×D4 | — | 10 | 2 | no | — |
| 400 | D3×D4 | — | 10 | 2 | no | — |
| 401 | #235 | — | 5 | 2 | no | — |
| 402 | #235 | — | 5 | 2 | no | — |
| 403 | #235 | — | 5 | 2 | no | — |
| 404 | #235 | — | 5 | 2 | no | — |
| 405 | #235 | — | 10 | 2 | no | — |
| 406 | #235 | — | 10 | 2 | no | — |
| 407 | C2×D12 | — | 5 | 1 | no | — |
| 408 | C2×D12 | — | 5 | 1 | no | — |
| 409 | C2×C4×D3 | — | 5 | 1 | no | — |
| 410 | C2×C4×D3 | — | 5 | 2 | no | — |
| 411 | C2×C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 412 | C2×Dic6 | — | 5 | 1 | no | — |
| 413 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 414 | C3×M16 | — | 5 | 2 | no | — |
| 415 | C3×M16 | — | 10 | 2 | no | — |
| 416 | C3×M16 | C22×D5 | 1 | 2 | yes | — |
| 417 | C2×C3×C8 | — | 10 | 2 | no | — |
| 418 | #208 | — | 5 | 2 | no | — |
| 419 | #208 | — | 10 | 2 | no | — |
| 420 | #208 | C22×D5 | 1 | 2 | yes | — |
| 421 | C2×C3⋊C8 | — | 10 | 2 | no | — |
| 422 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 423 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 424 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 425 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 426 | D3×C8 | — | 2 | 2 | no | — |
| 427 | D3×C8 | — | 10 | 2 | no | — |
| 428 | D3×C8 | — | 10 | 2 | no | — |
| 429 | D3×C8 | — | 10 | 2 | no | — |
| 430 | C23×C5 | — | 3 | 1 | no | — |
| 431 | C23×C5 | C2×C4×D3 | 1 | 2 | yes | — |
| 432 | C22×D5 | — | 2 | 2 | no | — |
| 433 | C22×D5 | — | 2 | 2 | no | — |
| 434 | C22×D5 | — | 3 | 1 | no | — |
| 435 | C22×D5 | — | 3 | 2 | no | — |
| 436 | C22×D5 | — | 6 | 4 | no | — |
| 437 | C22×D5 | — | 6 | 2 | no | — |
| 438 | C22×D5 | — | 6 | 2 | no | — |
| 439 | C22×D5 | — | 8 | 2 | no | — |
| 440 | C22×D5 | — | 24 | 2 | no | — |
| 441 | C22×D5 | — | 24 | 2 | no | — |
| 442 | C22×D5 | C2×C4×D3 | 1 | 2 | yes | — |
| 443 | C22×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 444 | C5×Q8 | — | 6 | 2 | no | — |
| 445 | C5×D4 | — | 2 | 2 | no | — |
| 446 | C5×D4 | — | 6 | 4 | no | — |
| 447 | C2×C4×C5 | — | 3 | 1 | no | — |
| 448 | C2×C4×C5 | — | 3 | 2 | no | — |
| 449 | C2×C4×C5 | — | 3 | 2 | no | — |
| 450 | C2×C4×C5 | — | 3 | 2 | no | — |
| 451 | C2×C4×C5 | — | 6 | 2 | no | — |
| 452 | C2×C4×C5 | — | 6 | 2 | no | — |
| 453 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 454 | C22⋊D5 | — | 2 | 4 | no | — |
| 455 | C22⋊D5 | — | 3 | 2 | no | — |
| 456 | C22⋊D5 | — | 3 | 2 | no | — |
| 457 | C22⋊D5 | — | 3 | 2 | no | — |
| 458 | C22⋊D5 | — | 3 | 2 | no | — |
| 459 | C22⋊D5 | — | 6 | 4 | no | — |
| 460 | C2×Dic5 | — | 3 | 1 | no | — |
| 461 | C2×Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 462 | D20 | — | 2 | 2 | no | — |
| 463 | D20 | — | 3 | 1 | no | — |
| 464 | D20 | — | 3 | 1 | no | — |
| 465 | D20 | — | 3 | 1 | no | — |
| 466 | D20 | — | 3 | 1 | no | — |
| 467 | D20 | — | 6 | 2 | no | — |
| 468 | D20 | — | 6 | 2 | no | — |
| 469 | D20 | — | 6 | 2 | no | — |
| 470 | D20 | — | 6 | 2 | no | — |
| 471 | D20 | — | 6 | 2 | no | — |
| 472 | D20 | — | 6 | 2 | no | — |
| 473 | D20 | — | 6 | 2 | no | — |
| 474 | C4×D5 | — | 3 | 2 | no | — |
| 475 | C4×D5 | — | 3 | 2 | no | — |
| 476 | C4×D5 | — | 6 | 4 | no | — |
| 477 | C4×D5 | — | 6 | 4 | no | — |
| 478 | C4×D5 | D3×D4 | 1 | 2 | yes | — |
| 479 | C4×D5 | D3×D4 | 1 | 2 | yes | — |
| 480 | Dic10 | — | 3 | 2 | no | — |
| 481 | Dic10 | — | 3 | 2 | no | — |
| 482 | C5×C8 | — | 2 | 2 | no | — |
| 483 | C5×C8 | — | 6 | 2 | no | — |
| 484 | #168 | — | 2 | 2 | no | — |
| 485 | #168 | — | 6 | 2 | no | — |
| 486 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 487 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 488 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 489 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 490 | C2×#41 | — | 3 | 1 | no | — |
| 491 | C2×#41 | — | 15 | 1 | no | — |
| 492 | C2×#41 | — | 15 | 2 | no | — |
| 493 | C2×#41 | — | 15 | 1 | no | — |
| 494 | C2×#41 | — | 15 | 1 | no | — |
| 495 | C22×D4 | — | 5 | 1 | no | — |
| 496 | C22×D4 | — | 15 | 1 | no | — |
| 497 | C22×D4 | — | 15 | 2 | no | — |
| 498 | C22×D4 | — | 15 | 2 | no | — |
| 499 | C22×D4 | — | 15 | 2 | no | — |
| 500 | C22×D4 | — | 15 | 1 | no | — |
| 501 | #131 | — | 30 | 2 | no | — |
| 502 | #131 | — | 30 | 2 | no | — |
| 503 | #131 | — | 30 | 2 | no | — |
| 504 | #131 | — | 30 | 2 | no | — |
| 505 | C2×M16 | — | 3 | 2 | no | — |
| 506 | C2×M16 | — | 5 | 2 | no | — |
| 507 | C2×M16 | — | 15 | 2 | no | — |
| 508 | C2×M16 | — | 15 | 2 | no | — |
| 509 | C2×M16 | — | 15 | 2 | no | — |
| 510 | C2×M16 | — | 15 | 2 | no | — |
| 511 | #101 | — | 3 | 2 | no | — |
| 512 | #101 | — | 15 | 2 | no | — |
| 513 | #100 | — | 3 | 1 | no | — |
| 514 | #100 | — | 5 | 1 | no | — |
| 515 | #100 | — | 5 | 2 | no | — |
| 516 | #100 | — | 15 | 2 | no | — |
| 517 | #100 | — | 15 | 2 | no | — |
| 518 | #100 | — | 15 | 1 | no | — |
| 519 | #100 | — | 15 | 2 | no | — |
| 520 | #100 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 521 | C2×C3×C5 | — | 2 | 1 | no | — |
| 522 | C2×C3×C5 | — | 4 | 2 | no | — |
| 523 | C2×C3×C5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 524 | D15 | — | 2 | 1 | no | — |
| 525 | D15 | — | 2 | 1 | no | — |
| 526 | D15 | — | 4 | 2 | no | — |
| 527 | C3×D5 | — | 2 | 1 | no | — |
| 528 | C3×D5 | — | 2 | 1 | no | — |
| 529 | C3×D5 | — | 4 | 2 | no | — |
| 530 | C5×D3 | — | 2 | 2 | no | — |
| 531 | C23×C3 | — | 5 | 1 | no | — |
| 532 | C23×C3 | — | 5 | 2 | no | — |
| 533 | C23×C3 | — | 10 | 2 | no | — |
| 534 | C23×C3 | — | 10 | 2 | no | — |
| 535 | C23×C3 | — | 40 | 2 | no | — |
| 536 | C23×C3 | C2×C4×D5 | 1 | 2 | yes | — |
| 537 | C22×D3 | — | 5 | 1 | no | — |
| 538 | C22×D3 | — | 5 | 2 | no | — |
| 539 | C22×D3 | — | 10 | 2 | no | — |
| 540 | C22×D3 | — | 10 | 2 | no | — |
| 541 | C22×D3 | — | 10 | 4 | no | — |
| 542 | C22×D3 | — | 40 | 2 | no | — |
| 543 | C22×D3 | — | 40 | 2 | no | — |
| 544 | C22×D3 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 545 | C3×D4 | — | 2 | 2 | no | — |
| 546 | C3×D4 | — | 10 | 4 | no | — |
| 547 | C3×D4 | — | 10 | 2 | no | — |
| 548 | C2×C3×C4 | — | 5 | 1 | no | — |
| 549 | C2×C3×C4 | — | 5 | 2 | no | — |
| 550 | C2×C3×C4 | — | 5 | 2 | no | — |
| 551 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 552 | #67 | — | 2 | 4 | no | — |
| 553 | #67 | — | 5 | 2 | no | — |
| 554 | #67 | — | 5 | 2 | no | — |
| 555 | #67 | — | 5 | 1 | no | — |
| 556 | #67 | — | 5 | 1 | no | — |
| 557 | #67 | — | 5 | 1 | no | — |
| 558 | #67 | — | 5 | 1 | no | — |
| 559 | #67 | — | 10 | 2 | no | — |
| 560 | #67 | — | 10 | 2 | no | — |
| 561 | #67 | — | 10 | 2 | no | — |
| 562 | #67 | — | 10 | 2 | no | — |
| 563 | #67 | — | 10 | 4 | no | — |
| 564 | #67 | — | 10 | 2 | no | — |
| 565 | #67 | — | 10 | 2 | no | — |
| 566 | C2×Dic3 | — | 2 | 2 | no | — |
| 567 | C2×Dic3 | — | 2 | 2 | no | — |
| 568 | C2×Dic3 | — | 5 | 1 | no | — |
| 569 | C2×Dic3 | — | 10 | 4 | no | — |
| 570 | C2×Dic3 | C2×C4×D5 | 1 | 2 | yes | — |
| 571 | C2×Dic3 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 572 | D12 | — | 5 | 2 | no | — |
| 573 | D12 | — | 5 | 2 | no | — |
| 574 | D12 | — | 10 | 2 | no | — |
| 575 | C4×D3 | — | 5 | 2 | no | — |
| 576 | C4×D3 | — | 5 | 2 | no | — |
| 577 | C4×D3 | — | 10 | 4 | no | — |
| 578 | C4×D3 | D4×D5 | 1 | 2 | yes | — |
| 579 | C4×D3 | D4×D5 | 1 | 2 | yes | — |
| 580 | Dic6 | — | 2 | 2 | no | — |
| 581 | Dic6 | — | 5 | 2 | no | — |
| 582 | Dic6 | — | 5 | 2 | no | — |
| 583 | C3×C8 | — | 2 | 2 | no | — |
| 584 | C3×C8 | — | 10 | 2 | no | — |
| 585 | C3⋊C8 | — | 2 | 2 | no | — |
| 586 | C3⋊C8 | — | 10 | 2 | no | — |
| 587 | C22×C5 | — | 2 | 2 | no | — |
| 588 | C22×C5 | — | 3 | 2 | no | — |
| 589 | C22×C5 | — | 4 | 2 | no | — |
| 590 | C22×C5 | — | 12 | 1 | no | — |
| 591 | C22×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 592 | C2×D5 | — | 2 | 2 | no | — |
| 593 | C2×D5 | — | 3 | 1 | no | — |
| 594 | C2×D5 | — | 3 | 1 | no | — |
| 595 | C2×D5 | — | 4 | 1 | no | — |
| 596 | C2×D5 | — | 4 | 2 | no | — |
| 597 | C2×D5 | — | 6 | 2 | no | — |
| 598 | C2×D5 | — | 8 | 2 | no | — |
| 599 | C2×D5 | — | 8 | 2 | no | — |
| 600 | C2×D5 | — | 12 | 1 | no | — |
| 601 | C2×D5 | — | 12 | 2 | no | — |
| 602 | C2×D5 | — | 24 | 4 | no | — |
| 603 | C2×D5 | — | 24 | 2 | no | — |
| 604 | C2×D5 | — | 24 | 2 | no | — |
| 605 | C2×D5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 606 | C2×D5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 607 | C4×C5 | — | 3 | 1 | no | — |
| 608 | C4×C5 | — | 3 | 1 | no | — |
| 609 | C4×C5 | — | 6 | 2 | no | — |
| 610 | C4×C5 | C2×D3×D4 | 1 | 2 | yes | — |
| 611 | Dic5 | — | 3 | 2 | no | — |
| 612 | Dic5 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 613 | C24 | — | 5 | 2 | no | — |
| 614 | C24 | — | 15 | 2 | no | — |
| 615 | C24 | — | 15 | 2 | no | — |
| 616 | #41 | — | 6 | 2 | no | — |
| 617 | #41 | — | 6 | 2 | no | — |
| 618 | #41 | — | 15 | 2 | no | — |
| 619 | #41 | — | 15 | 2 | no | — |
| 620 | #41 | — | 15 | 2 | no | — |
| 621 | #41 | — | 15 | 2 | no | — |
| 622 | #41 | — | 30 | 2 | no | — |
| 623 | #41 | — | 30 | 2 | no | — |
| 624 | #41 | — | 30 | 4 | no | — |
| 625 | #41 | — | 30 | 4 | no | — |
| 626 | #41 | — | 30 | 2 | no | — |
| 627 | #41 | — | 30 | 2 | no | — |
| 628 | C2×Q8 | — | 3 | 1 | no | — |
| 629 | C2×Q8 | — | 15 | 1 | no | — |
| 630 | C2×D4 | — | 3 | 2 | no | — |
| 631 | C2×D4 | — | 5 | 2 | no | — |
| 632 | C2×D4 | — | 5 | 1 | no | — |
| 633 | C2×D4 | — | 10 | 2 | no | — |
| 634 | C2×D4 | — | 10 | 2 | no | — |
| 635 | C2×D4 | — | 15 | 1 | no | — |
| 636 | C2×D4 | — | 15 | 2 | no | — |
| 637 | C2×D4 | — | 15 | 2 | no | — |
| 638 | C2×D4 | — | 15 | 2 | no | — |
| 639 | C2×D4 | — | 15 | 1 | no | — |
| 640 | C2×D4 | — | 15 | 1 | no | — |
| 641 | C2×D4 | — | 15 | 2 | no | — |
| 642 | C2×D4 | — | 15 | 1 | no | — |
| 643 | C2×D4 | — | 30 | 2 | no | — |
| 644 | C2×D4 | — | 30 | 2 | no | — |
| 645 | C2×D4 | — | 30 | 2 | no | — |
| 646 | C2×D4 | — | 30 | 2 | no | — |
| 647 | C2×D4 | — | 30 | 2 | no | — |
| 648 | C2×D4 | — | 30 | 2 | no | — |
| 649 | C2×D4 | — | 30 | 2 | no | — |
| 650 | C2×D4 | — | 30 | 2 | no | — |
| 651 | C2×D4 | — | 30 | 4 | no | — |
| 652 | C2×D4 | — | 30 | 4 | no | — |
| 653 | C2×D4 | — | 30 | 4 | no | — |
| 654 | C2×D4 | — | 30 | 4 | no | — |
| 655 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 656 | C22×C4 | — | 3 | 1 | no | — |
| 657 | C22×C4 | — | 3 | 2 | no | — |
| 658 | C22×C4 | — | 5 | 1 | no | — |
| 659 | C22×C4 | — | 15 | 2 | no | — |
| 660 | C22×C4 | — | 15 | 2 | no | — |
| 661 | C22×C4 | — | 15 | 1 | no | — |
| 662 | M16 | — | 3 | 2 | no | — |
| 663 | M16 | — | 5 | 2 | no | — |
| 664 | M16 | — | 6 | 2 | no | — |
| 665 | M16 | — | 10 | 2 | no | — |
| 666 | M16 | — | 15 | 2 | no | — |
| 667 | M16 | — | 30 | 2 | no | — |
| 668 | M16 | — | 30 | 2 | no | — |
| 669 | M16 | — | 30 | 2 | no | — |
| 670 | M16 | — | 30 | 2 | no | — |
| 671 | M16 | C2×D3×D5 | 1 | 2 | yes | — |
| 672 | C2×C8 | — | 6 | 2 | no | — |
| 673 | C2×C8 | — | 10 | 2 | no | — |
| 674 | C2×C8 | — | 30 | 2 | no | — |
| 675 | C2×C8 | — | 30 | 2 | no | — |
| 676 | C2×C8 | — | 30 | 2 | no | — |
| 677 | C2×C8 | — | 30 | 2 | no | — |
| 678 | C3×C5 | #2888 | 1 | 1 | yes | characteristic, complemented, Hall |
| 679 | C22×C3 | — | 2 | 2 | no | — |
| 680 | C22×C3 | — | 4 | 2 | no | — |
| 681 | C22×C3 | — | 5 | 1 | no | — |
| 682 | C22×C3 | — | 5 | 1 | no | — |
| 683 | C22×C3 | — | 10 | 2 | no | — |
| 684 | C22×C3 | — | 20 | 1 | no | — |
| 685 | C22×C3 | — | 20 | 2 | no | — |
| 686 | C22×C3 | — | 40 | 2 | no | — |
| 687 | C22×C3 | — | 40 | 2 | no | — |
| 688 | C22×C3 | C22×C4×D5 | 1 | 1 | yes | characteristic |
| 689 | C2×D3 | — | 4 | 1 | no | — |
| 690 | C2×D3 | — | 5 | 1 | no | — |
| 691 | C2×D3 | — | 5 | 1 | no | — |
| 692 | C2×D3 | — | 10 | 2 | no | — |
| 693 | C2×D3 | — | 20 | 1 | no | — |
| 694 | C2×D3 | — | 20 | 2 | no | — |
| 695 | C2×D3 | — | 40 | 4 | no | — |
| 696 | C2×D3 | — | 40 | 2 | no | — |
| 697 | C2×D3 | — | 40 | 2 | no | — |
| 698 | C2×D3 | D5×C22⋊C4 | 1 | 2 | yes | — |
| 699 | C3×C4 | — | 5 | 2 | no | — |
| 700 | C3×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 701 | Dic3 | — | 2 | 2 | no | — |
| 702 | Dic3 | — | 5 | 2 | no | — |
| 703 | Dic3 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 704 | Dic3 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 705 | C2×C5 | — | 2 | 1 | no | — |
| 706 | C2×C5 | — | 4 | 2 | no | — |
| 707 | C2×C5 | — | 6 | 2 | no | — |
| 708 | C2×C5 | C2×D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 709 | D5 | — | 2 | 1 | no | — |
| 710 | D5 | — | 2 | 1 | no | — |
| 711 | D5 | — | 4 | 2 | no | — |
| 712 | D5 | — | 6 | 1 | no | — |
| 713 | D5 | — | 6 | 1 | no | — |
| 714 | D5 | — | 12 | 2 | no | — |
| 715 | C23 | — | 3 | 1 | no | — |
| 716 | C23 | — | 5 | 1 | no | — |
| 717 | C23 | — | 5 | 2 | no | — |
| 718 | C23 | — | 10 | 2 | no | — |
| 719 | C23 | — | 10 | 2 | no | — |
| 720 | C23 | — | 15 | 1 | no | — |
| 721 | C23 | — | 15 | 2 | no | — |
| 722 | C23 | — | 30 | 2 | no | — |
| 723 | C23 | — | 30 | 2 | no | — |
| 724 | C23 | — | 30 | 4 | no | — |
| 725 | C23 | — | 40 | 2 | no | — |
| 726 | C23 | — | 120 | 2 | no | — |
| 727 | C23 | — | 120 | 2 | no | — |
| 728 | C23 | C4×D3×D5 | 1 | 2 | yes | — |
| 729 | Q8 | — | 6 | 2 | no | — |
| 730 | Q8 | — | 15 | 2 | no | — |
| 731 | Q8 | — | 15 | 2 | no | — |
| 732 | D4 | — | 2 | 2 | no | — |
| 733 | D4 | — | 6 | 4 | no | — |
| 734 | D4 | — | 10 | 4 | no | — |
| 735 | D4 | — | 10 | 2 | no | — |
| 736 | D4 | — | 15 | 1 | no | — |
| 737 | D4 | — | 15 | 1 | no | — |
| 738 | D4 | — | 15 | 1 | no | — |
| 739 | D4 | — | 15 | 1 | no | — |
| 740 | D4 | — | 15 | 2 | no | — |
| 741 | D4 | — | 15 | 2 | no | — |
| 742 | D4 | — | 15 | 2 | no | — |
| 743 | D4 | — | 15 | 2 | no | — |
| 744 | D4 | — | 30 | 2 | no | — |
| 745 | D4 | — | 30 | 2 | no | — |
| 746 | D4 | — | 30 | 2 | no | — |
| 747 | D4 | — | 30 | 2 | no | — |
| 748 | D4 | — | 30 | 2 | no | — |
| 749 | D4 | — | 30 | 2 | no | — |
| 750 | D4 | — | 30 | 4 | no | — |
| 751 | D4 | — | 30 | 2 | no | — |
| 752 | C2×C4 | — | 3 | 1 | no | — |
| 753 | C2×C4 | — | 3 | 2 | no | — |
| 754 | C2×C4 | — | 3 | 2 | no | — |
| 755 | C2×C4 | — | 3 | 2 | no | — |
| 756 | C2×C4 | — | 5 | 1 | no | — |
| 757 | C2×C4 | — | 5 | 2 | no | — |
| 758 | C2×C4 | — | 5 | 2 | no | — |
| 759 | C2×C4 | — | 6 | 2 | no | — |
| 760 | C2×C4 | — | 6 | 2 | no | — |
| 761 | C2×C4 | — | 15 | 1 | no | — |
| 762 | C2×C4 | — | 15 | 2 | no | — |
| 763 | C2×C4 | — | 15 | 2 | no | — |
| 764 | C2×C4 | — | 30 | 4 | no | — |
| 765 | C2×C4 | — | 30 | 4 | no | — |
| 766 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 767 | C8 | — | 2 | 2 | no | — |
| 768 | C8 | — | 6 | 2 | no | — |
| 769 | C8 | — | 10 | 2 | no | — |
| 770 | C8 | — | 30 | 2 | no | — |
| 771 | C2×C3 | — | 2 | 1 | no | — |
| 772 | C2×C3 | — | 4 | 2 | no | — |
| 773 | C2×C3 | — | 10 | 1 | no | — |
| 774 | C2×C3 | — | 10 | 1 | no | — |
| 775 | C2×C3 | — | 20 | 2 | no | — |
| 776 | C2×C3 | C2×D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 777 | D3 | — | 2 | 2 | no | — |
| 778 | D3 | — | 10 | 1 | no | — |
| 779 | D3 | — | 10 | 1 | no | — |
| 780 | D3 | — | 20 | 2 | no | — |
| 781 | C5 | #78697 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 782 | C22 | — | 2 | 2 | no | — |
| 783 | C22 | — | 3 | 2 | no | — |
| 784 | C22 | — | 4 | 2 | no | — |
| 785 | C22 | — | 5 | 1 | no | — |
| 786 | C22 | — | 5 | 1 | no | — |
| 787 | C22 | — | 10 | 2 | no | — |
| 788 | C22 | — | 12 | 1 | no | — |
| 789 | C22 | — | 15 | 1 | no | — |
| 790 | C22 | — | 15 | 1 | no | — |
| 791 | C22 | — | 20 | 1 | no | — |
| 792 | C22 | — | 20 | 2 | no | — |
| 793 | C22 | — | 30 | 2 | no | — |
| 794 | C22 | — | 40 | 2 | no | — |
| 795 | C22 | — | 40 | 2 | no | — |
| 796 | C22 | — | 60 | 1 | no | — |
| 797 | C22 | — | 60 | 2 | no | — |
| 798 | C22 | — | 120 | 2 | no | — |
| 799 | C22 | — | 120 | 2 | no | — |
| 800 | C22 | — | 120 | 4 | no | — |
| 801 | C22 | C2×C4×D3×D5 | 1 | 1 | yes | characteristic |
| 802 | C4 | — | 3 | 1 | no | — |
| 803 | C4 | — | 3 | 1 | no | — |
| 804 | C4 | — | 5 | 2 | no | — |
| 805 | C4 | — | 6 | 2 | no | — |
| 806 | C4 | — | 15 | 2 | no | — |
| 807 | C4 | D3×D4×D5 | 1 | 2 | yes | — |
| 808 | C3 | #10610445 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 809 | C2 | — | 2 | 1 | no | — |
| 810 | C2 | — | 4 | 2 | no | — |
| 811 | C2 | — | 6 | 2 | no | — |
| 812 | C2 | — | 10 | 1 | no | — |
| 813 | C2 | — | 10 | 1 | no | — |
| 814 | C2 | — | 20 | 2 | no | — |
| 815 | C2 | — | 30 | 1 | no | — |
| 816 | C2 | — | 30 | 1 | no | — |
| 817 | C2 | — | 60 | 2 | no | — |
| 818 | C2 | D3×D5×C22⋊C4 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11754041 | C2 | semidirect |
| 3. D15×#100 | C2 | semidirect |
| 4. C5×#4745 | C2 | semidirect |
| 5. C3×D5×#100 | C2 | semidirect |
| 6. #11749127 | C2 | semidirect |
| 7. #11749126 | C2 | semidirect |
| 8. D5×#833 | C2 | semidirect |
| 9. #11748238 | C2 | semidirect |
| 10. #11748231 | C2 | semidirect |
| 11. D3×#3955 | C2 | semidirect |
| 28. M16×D15 | C22 | semidirect |
| 29. C5×D3×M16 | C22 | semidirect |
| 30. C3×D5×M16 | C22 | semidirect |
| 31. #91292 | C22 | semidirect |
| 32. D3×#681 | C22 | semidirect |
| 33. D5×#208 | C22 | semidirect |
| 38. C3×C5×#100 | C22 | semidirect |
| 39. #91117 | C22 | semidirect |
| 40. #91107 | C22 | semidirect |
| 41. C5×#833 | C22 | semidirect |
| 42. C5×#824 | C22 | semidirect |
| 43. C3×#3965 | C22 | semidirect |
| 44. C3×#3955 | C22 | semidirect |
| 45. #90962 | C22 | semidirect |
| 46. #90960 | C22 | semidirect |
| 47. #90958 | C22 | semidirect |
| 59. D5×#100 | D3 | semidirect |
| 132. #4745 | D5 | semidirect |
| 158. D5×M16 | C2×D3 | semidirect |
| 163. C5×#100 | C2×D3 | semidirect |
| 166. #3965 | C2×D3 | semidirect |
| 170. #3955 | C2×D3 | semidirect |
| 250. D3×M16 | C2×D5 | semidirect |
| 255. C3×#100 | C2×D5 | semidirect |
| 258. #833 | C2×D5 | semidirect |
| 260. #824 | C2×D5 | semidirect |
| 520. #100 | D3×D5 | semidirect |
| 678. C3×C5 | #2888 | semidirect |
| 781. C5 | #78697 | semidirect |
| 808. C3 | #10610445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92026 | 2 |
| #11754041 | 2 |
| D15×#100 | 2 |
| C5×#4745 | 2 |
| C3×D5×#100 | 2 |
| #11749127 | 2 |
| #11749126 | 2 |
| D5×#833 | 2 |
| #11748238 | 2 |
| #11748231 | 2 |
| D3×#3955 | 2 |
| #10610445 | 3 |
| #78697 | 5 |