Finite Group DatabasebetaFinite Group DatabasebetaOrder 6400.
2484 conjugacy classes of subgroups.
The subgroup lattice has 992 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72221111 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72221069 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72221065 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72221062 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72221032 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #72221028 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72221027 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #72220842 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×#13104743 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72213490 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #72213282 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×D4×#1043 | C22 | 1 | 2 | yes | — |
| 13 | #13107559 | C22 | 1 | 1 | yes | characteristic |
| 14 | #13107548 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×D8×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 16 | #13106298 | C22 | 1 | 2 | yes | — |
| 17 | #13105760 | C22 | 1 | 1 | yes | characteristic |
| 18 | #13104916 | C22 | 1 | 2 | yes | — |
| 19 | #13104909 | C22 | 1 | 2 | yes | — |
| 20 | #13104862 | C22 | 1 | 1 | yes | characteristic |
| 21 | #13104856 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#11716875 | C22 | 1 | 2 | yes | — |
| 23 | #13104743 | — | 2 | 1 | no | — |
| 24 | #13104743 | — | 2 | 1 | no | — |
| 25 | #13104743 | — | 2 | 1 | no | — |
| 26 | #13104743 | — | 2 | 1 | no | — |
| 27 | C2×#11716861 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#11716860 | C22 | 1 | 1 | yes | characteristic |
| 29 | #13104060 | — | 2 | 2 | no | — |
| 30 | #13104059 | — | 2 | 2 | no | — |
| 31 | #13104056 | — | 2 | 2 | no | — |
| 32 | #13104055 | — | 2 | 2 | no | — |
| 33 | #13103962 | C22 | 1 | 2 | yes | — |
| 34 | #13103931 | C22 | 1 | 2 | yes | — |
| 35 | #13103905 | C22 | 1 | 2 | yes | — |
| 36 | #13103905 | C22 | 1 | 1 | yes | characteristic |
| 37 | #13103902 | C22 | 1 | 1 | yes | characteristic |
| 38 | #13103866 | — | 2 | 1 | no | — |
| 39 | #13103850 | — | 2 | 1 | no | — |
| 40 | #13103844 | — | 2 | 1 | no | — |
| 41 | #13103843 | — | 2 | 1 | no | — |
| 42 | C5×#65449 | C4 | 1 | 2 | yes | complemented |
| 43 | #13101699 | C4 | 1 | 4 | yes | complemented |
| 44 | #13101682 | C22 | 1 | 2 | yes | — |
| 45 | #13101101 | C4 | 1 | 2 | yes | complemented |
| 46 | #13101043 | C22 | 1 | 1 | yes | characteristic |
| 47 | #13099912 | C22 | 1 | 2 | yes | — |
| 48 | #13099912 | C22 | 1 | 2 | yes | — |
| 49 | #13099910 | C22 | 1 | 2 | yes | — |
| 50 | #13036385 | — | 5 | 2 | no | maximal |
| 51 | C23×#1043 | — | 2 | 2 | no | — |
| 52 | C2×D4×C5⋊D5 | C23 | 1 | 2 | yes | — |
| 53 | #11717471 | C23 | 1 | 1 | yes | characteristic |
| 54 | #11717451 | C23 | 1 | 1 | yes | characteristic |
| 55 | #11717448 | C23 | 1 | 2 | yes | — |
| 56 | #11717448 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×C22⋊#1043 | — | 2 | 2 | no | — |
| 58 | D4×#1043 | — | 2 | 2 | no | — |
| 59 | D4×#1043 | — | 2 | 2 | no | — |
| 60 | D4×#1043 | — | 2 | 2 | no | — |
| 61 | D4×#1043 | — | 2 | 2 | no | — |
| 62 | C2×C4⋊#1043 | C23 | 1 | 2 | yes | — |
| 63 | C2×C4×#1043 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×#87855 | C23 | 1 | 1 | yes | characteristic |
| 65 | #11717375 | — | 2 | 2 | no | — |
| 66 | #11717371 | — | 2 | 2 | no | — |
| 67 | #11717363 | D4 | 1 | 2 | yes | — |
| 68 | C4×D5⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 69 | #11717361 | — | 2 | 1 | no | — |
| 70 | #11717358 | — | 2 | 2 | no | — |
| 71 | D5⋊(D5⋊C8) | — | 2 | 1 | no | — |
| 72 | #11717356 | — | 2 | 1 | no | — |
| 73 | #11717353 | D4 | 1 | 2 | yes | — |
| 74 | C2×C52×D8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 75 | C2×#87809 | C2×C4 | 1 | 2 | yes | complemented |
| 76 | D8×C5⋊D5 | — | 2 | 1 | no | — |
| 77 | D8×C5⋊D5 | — | 2 | 1 | no | — |
| 78 | D8×C5⋊D5 | — | 2 | 1 | no | — |
| 79 | D8×C5⋊D5 | — | 2 | 1 | no | — |
| 80 | C2×#87801 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 81 | C2×C8×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 82 | C5×#4078 | C2×C4 | 1 | 4 | yes | complemented |
| 83 | C5×#4047 | C2×C4 | 1 | 2 | yes | complemented |
| 84 | #11717055 | — | 2 | 4 | no | — |
| 85 | #11717048 | — | 2 | 2 | no | — |
| 86 | #11717044 | — | 2 | 2 | no | — |
| 87 | #11716943 | C2×C4 | 1 | 4 | yes | complemented |
| 88 | #11716936 | C23 | 1 | 1 | yes | characteristic |
| 89 | #11716936 | C23 | 1 | 2 | yes | — |
| 90 | #11716933 | C2×C4 | 1 | 2 | yes | complemented |
| 91 | #11716923 | — | 2 | 1 | no | — |
| 92 | #11716921 | — | 2 | 1 | no | — |
| 93 | #11716909 | — | 2 | 1 | no | — |
| 94 | C8×D52 | — | 2 | 1 | no | — |
| 95 | #11716906 | — | 2 | 4 | no | — |
| 96 | #11716900 | — | 2 | 2 | no | — |
| 97 | #11716900 | — | 2 | 2 | no | — |
| 98 | #11716889 | — | 2 | 1 | no | — |
| 99 | #11716888 | — | 2 | 1 | no | — |
| 100 | #11716885 | — | 2 | 1 | no | — |
| 101 | C8×#1044 | — | 2 | 1 | no | — |
| 102 | #11716875 | — | 2 | 2 | no | — |
| 103 | #11716875 | — | 2 | 2 | no | — |
| 104 | #11716861 | — | 2 | 1 | no | — |
| 105 | #11716861 | — | 2 | 1 | no | — |
| 106 | #11716860 | D4 | 1 | 1 | yes | characteristic |
| 107 | #11716860 | D4 | 1 | 1 | yes | characteristic |
| 108 | #11716860 | D4 | 1 | 1 | yes | characteristic |
| 109 | #11716860 | D4 | 1 | 1 | yes | characteristic |
| 110 | #11716772 | — | 2 | 2 | no | — |
| 111 | #11716771 | — | 2 | 2 | no | — |
| 112 | #11716767 | — | 2 | 2 | no | — |
| 113 | #11716765 | — | 2 | 2 | no | — |
| 114 | #11716764 | — | 2 | 1 | no | — |
| 115 | #11716763 | — | 2 | 2 | no | — |
| 116 | #11716763 | — | 2 | 1 | no | — |
| 117 | #11716762 | — | 2 | 1 | no | — |
| 118 | #11716761 | — | 2 | 2 | no | — |
| 119 | #11716761 | — | 2 | 1 | no | — |
| 120 | C5×#3965 | C2×C4 | 1 | 4 | yes | complemented |
| 121 | C5×#3951 | C2×C4 | 1 | 2 | yes | complemented |
| 122 | #11716619 | C2×C4 | 1 | 2 | yes | complemented |
| 123 | #11716600 | C2×C4 | 1 | 4 | yes | complemented |
| 124 | AGL(1,𝔽5)×AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 125 | C2×#65731 | — | 5 | 2 | no | — |
| 126 | C2×#65731 | — | 10 | 2 | no | — |
| 127 | #10617415 | — | 5 | 2 | no | — |
| 128 | D5×#472 | — | 5 | 2 | no | — |
| 129 | #10604866 | — | 5 | 4 | no | — |
| 130 | #10604806 | — | 5 | 2 | no | — |
| 131 | #10604781 | — | 5 | 2 | no | — |
| 132 | #10604087 | — | 5 | 2 | no | — |
| 133 | #10604086 | — | 5 | 2 | no | — |
| 134 | #10603927 | — | 5 | 4 | no | — |
| 135 | AGL(1,𝔽5)×#100 | — | 5 | 4 | no | — |
| 136 | C23×C5⋊D5 | — | 2 | 2 | no | — |
| 137 | C22×#1043 | — | 2 | 2 | no | — |
| 138 | C22×#1043 | — | 4 | 2 | no | — |
| 139 | C22×#1043 | — | 4 | 2 | no | — |
| 140 | C22×#1043 | — | 8 | 4 | no | — |
| 141 | C22×#1043 | #41 | 1 | 2 | yes | — |
| 142 | C2×D5⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 143 | C2×C52×D4 | C22×C4 | 1 | 2 | yes | — |
| 144 | C2×C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 145 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 146 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 147 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 148 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 149 | C2×C4⋊(C5⋊D5) | C22×C4 | 1 | 2 | yes | — |
| 150 | C2×C4×C5⋊D5 | C24 | 1 | 1 | yes | characteristic |
| 151 | C5×#709 | C22×C4 | 1 | 2 | yes | — |
| 152 | #87886 | — | 2 | 1 | no | — |
| 153 | #87880 | — | 2 | 1 | no | — |
| 154 | #87877 | C2×D4 | 1 | 1 | yes | characteristic |
| 155 | C4×D52 | — | 2 | 1 | no | — |
| 156 | #87873 | — | 2 | 1 | no | — |
| 157 | #87872 | C2×D4 | 1 | 1 | yes | characteristic |
| 158 | #87871 | #41 | 1 | 2 | yes | — |
| 159 | C22⋊#1044 | — | 2 | 1 | no | — |
| 160 | #87867 | — | 2 | 2 | no | — |
| 161 | #87867 | #41 | 1 | 2 | yes | — |
| 162 | C4⋊#1044 | C2×D4 | 1 | 2 | yes | — |
| 163 | C4×#1044 | — | 2 | 1 | no | — |
| 164 | #87863 | — | 2 | 1 | no | — |
| 165 | #87863 | — | 2 | 2 | no | — |
| 166 | #87862 | — | 2 | 1 | no | — |
| 167 | #87862 | — | 2 | 2 | no | — |
| 168 | C22⋊#1043 | — | 4 | 2 | no | — |
| 169 | C22⋊#1043 | — | 4 | 2 | no | — |
| 170 | C2×#6033 | — | 2 | 1 | no | — |
| 171 | C4⋊#1043 | — | 2 | 2 | no | — |
| 172 | C4⋊#1043 | — | 2 | 2 | no | — |
| 173 | C4×#1043 | C2×D4 | 1 | 2 | yes | — |
| 174 | C4×#1043 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C4×#1043 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | #87855 | — | 2 | 1 | no | — |
| 177 | #87855 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | #87855 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | #87834 | — | 2 | 4 | no | — |
| 180 | D5⋊#170 | — | 2 | 4 | no | — |
| 181 | #87832 | — | 2 | 2 | no | — |
| 182 | #87831 | — | 2 | 2 | no | — |
| 183 | #87830 | — | 2 | 2 | no | — |
| 184 | C52×D8 | — | 2 | 1 | no | — |
| 185 | C52×D8 | — | 2 | 1 | no | — |
| 186 | C2×C52×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 187 | #87809 | — | 2 | 2 | no | — |
| 188 | #87809 | — | 2 | 2 | no | — |
| 189 | C2×#6029 | C22×C4 | 1 | 1 | yes | characteristic |
| 190 | #87801 | — | 2 | 1 | no | — |
| 191 | #87801 | — | 2 | 1 | no | — |
| 192 | C8×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C8×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C8×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 195 | C8×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 196 | C5×#687 | — | 2 | 4 | no | — |
| 197 | C5×#686 | — | 2 | 4 | no | — |
| 198 | C5×#681 | C22×C4 | 1 | 4 | yes | — |
| 199 | C5×#681 | C22×C4 | 1 | 2 | yes | — |
| 200 | C5×#676 | — | 2 | 2 | no | — |
| 201 | C5×C8×D5 | — | 2 | 2 | no | — |
| 202 | #87774 | — | 2 | 4 | no | — |
| 203 | #87771 | — | 2 | 4 | no | — |
| 204 | #87769 | — | 2 | 1 | no | — |
| 205 | #87769 | — | 2 | 2 | no | — |
| 206 | #87768 | — | 2 | 2 | no | — |
| 207 | #87767 | — | 2 | 1 | no | — |
| 208 | #87767 | — | 2 | 2 | no | — |
| 209 | D5×#168 | — | 2 | 2 | no | — |
| 210 | #41×AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 211 | D5⋊#131 | — | 5 | 2 | no | — |
| 212 | C2×D4×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 213 | C2×D4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 214 | D5×AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 215 | C2×D5×D8 | — | 5 | 2 | no | — |
| 216 | C2×D5×D8 | — | 10 | 2 | no | — |
| 217 | D5×#131 | — | 5 | 2 | no | — |
| 218 | #65793 | — | 5 | 4 | no | — |
| 219 | D5⋊#100 | — | 5 | 4 | no | — |
| 220 | #65767 | — | 5 | 4 | no | — |
| 221 | C2×#4007 | — | 5 | 4 | no | — |
| 222 | C2×#4007 | — | 10 | 4 | no | — |
| 223 | #65735 | — | 10 | 4 | no | — |
| 224 | SD16×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 225 | #65731 | — | 10 | 4 | no | — |
| 226 | #65731 | — | 10 | 2 | no | — |
| 227 | #65731 | — | 10 | 2 | no | — |
| 228 | #65731 | — | 10 | 2 | no | — |
| 229 | #65731 | — | 10 | 2 | no | — |
| 230 | #65731 | — | 10 | 4 | no | — |
| 231 | #65731 | — | 10 | 4 | no | — |
| 232 | #65731 | — | 10 | 4 | no | — |
| 233 | #65731 | — | 10 | 4 | no | — |
| 234 | D8×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 235 | #65728 | — | 5 | 2 | no | — |
| 236 | #65728 | — | 10 | 2 | no | — |
| 237 | #65727 | — | 5 | 4 | no | — |
| 238 | M16×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 239 | M16×AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 240 | M16×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 241 | D5⋊#108 | — | 5 | 2 | no | — |
| 242 | C2×#3993 | — | 5 | 2 | no | — |
| 243 | C2×#3993 | — | 10 | 2 | no | — |
| 244 | #65718 | — | 5 | 2 | no | — |
| 245 | #65718 | — | 10 | 2 | no | — |
| 246 | C2×#3992 | — | 5 | 2 | no | — |
| 247 | C2×#3992 | — | 10 | 2 | no | — |
| 248 | C2×#3992 | — | 10 | 2 | no | — |
| 249 | C5×#472 | — | 5 | 2 | no | — |
| 250 | #65488 | — | 5 | 4 | no | — |
| 251 | #65449 | AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 252 | #65431 | — | 5 | 2 | no | — |
| 253 | #65186 | — | 5 | 2 | no | — |
| 254 | D5×#108 | — | 5 | 2 | no | — |
| 255 | #65038 | — | 5 | 4 | no | — |
| 256 | D5×#100 | — | 5 | 4 | no | — |
| 257 | #64901 | — | 5 | 4 | no | — |
| 258 | #64899 | — | 5 | 4 | no | — |
| 259 | #64899 | — | 5 | 4 | no | — |
| 260 | #21555 | — | 25 | 1 | no | Sylow |
| 261 | C23×C52 | — | 2 | 2 | no | — |
| 262 | C22×C5⋊D5 | — | 2 | 2 | no | — |
| 263 | C22×C5⋊D5 | — | 4 | 2 | no | — |
| 264 | C22×C5⋊D5 | — | 4 | 2 | no | — |
| 265 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 266 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 267 | C22×C5⋊D5 | C2×#41 | 1 | 1 | yes | characteristic |
| 268 | C2×D52 | — | 2 | 1 | no | — |
| 269 | C2×#1044 | — | 2 | 2 | no | — |
| 270 | C2×#1043 | — | 4 | 2 | no | — |
| 271 | C2×#1043 | — | 4 | 2 | no | — |
| 272 | C2×#1043 | — | 8 | 4 | no | — |
| 273 | C2×#1043 | — | 8 | 4 | no | — |
| 274 | C2×#1043 | — | 8 | 2 | no | — |
| 275 | C2×#1043 | #121 | 1 | 2 | yes | — |
| 276 | C2×#1043 | #121 | 1 | 2 | yes | — |
| 277 | D5⋊AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 278 | C52×D4 | — | 2 | 2 | no | — |
| 279 | C52×D4 | — | 2 | 2 | no | — |
| 280 | C2×C4×C52 | C23×C4 | 1 | 1 | yes | characteristic |
| 281 | C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 282 | C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 283 | C2×#1039 | C2×#41 | 1 | 1 | yes | characteristic |
| 284 | C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 285 | C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 286 | C4×C5⋊D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 287 | C4×C5⋊D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 288 | C4×C5⋊D5 | C2×#41 | 1 | 1 | yes | characteristic |
| 289 | C4×C5⋊D5 | C2×#41 | 1 | 1 | yes | characteristic |
| 290 | C5×C22⋊D5 | — | 2 | 2 | no | — |
| 291 | C5×D20 | C4×D4 | 1 | 2 | yes | — |
| 292 | C4×C5×D5 | — | 2 | 2 | no | — |
| 293 | C5×Dic10 | C4×D4 | 1 | 2 | yes | — |
| 294 | #6039 | — | 2 | 1 | no | — |
| 295 | #6038 | — | 2 | 2 | no | — |
| 296 | #6037 | — | 2 | 1 | no | — |
| 297 | #6036 | — | 2 | 1 | no | — |
| 298 | D5×Dic5 | — | 2 | 2 | no | — |
| 299 | #6034 | — | 2 | 2 | no | — |
| 300 | #6034 | — | 4 | 2 | no | — |
| 301 | #6033 | — | 2 | 1 | no | — |
| 302 | #6033 | — | 2 | 1 | no | — |
| 303 | C52×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 304 | C52×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 305 | #6029 | C4×D4 | 1 | 1 | yes | characteristic |
| 306 | #6029 | C4×D4 | 1 | 1 | yes | characteristic |
| 307 | C5×#168 | — | 2 | 2 | no | — |
| 308 | C5×#168 | — | 2 | 4 | no | — |
| 309 | C23×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 310 | C23×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 311 | D5×#41 | — | 5 | 2 | no | — |
| 312 | C2×D4×D5 | — | 5 | 4 | no | — |
| 313 | C2×D4×D5 | — | 10 | 4 | no | — |
| 314 | C2×C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 315 | C2×C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 316 | Q8×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 317 | #4133 | — | 10 | 2 | no | — |
| 318 | D4×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 319 | D4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 320 | D4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 321 | D4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 322 | D4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 323 | D4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 324 | D4×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 325 | D4×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 326 | D4×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 327 | D4×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 328 | #4131 | — | 10 | 4 | no | — |
| 329 | #4131 | — | 10 | 2 | no | — |
| 330 | #4130 | — | 5 | 2 | no | — |
| 331 | #4130 | — | 10 | 2 | no | — |
| 332 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 333 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 334 | C2×C4×AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 335 | C2×C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 336 | C2×C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 337 | D5⋊M16 | — | 5 | 2 | no | — |
| 338 | D5⋊M16 | — | 5 | 4 | no | — |
| 339 | D5⋊M16 | — | 10 | 2 | no | — |
| 340 | C2×D5⋊C8 | — | 5 | 2 | no | — |
| 341 | C2×D5⋊C8 | — | 10 | 2 | no | — |
| 342 | C2×D5⋊C8 | — | 10 | 2 | no | — |
| 343 | C5×AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 344 | C2×C5×D8 | — | 2 | 2 | no | — |
| 345 | C2×C5×D8 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 346 | C5×#131 | — | 5 | 2 | no | — |
| 347 | #4095 | — | 5 | 4 | no | — |
| 348 | #4094 | — | 5 | 2 | no | — |
| 349 | #4078 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 350 | C2×#686 | — | 5 | 4 | no | — |
| 351 | C2×#686 | — | 10 | 4 | no | — |
| 352 | #4060 | — | 10 | 4 | no | — |
| 353 | D5×SD16 | — | 10 | 4 | no | — |
| 354 | #4057 | — | 10 | 4 | no | — |
| 355 | D5×D8 | — | 10 | 2 | no | — |
| 356 | D5×D8 | — | 10 | 2 | no | — |
| 357 | D5×D8 | — | 10 | 2 | no | — |
| 358 | D5×D8 | — | 10 | 2 | no | — |
| 359 | D5×D8 | — | 10 | 4 | no | — |
| 360 | D5×D8 | — | 10 | 4 | no | — |
| 361 | D5×D8 | — | 10 | 4 | no | — |
| 362 | D5×D8 | — | 10 | 4 | no | — |
| 363 | D5×D8 | — | 10 | 4 | no | — |
| 364 | #4054 | — | 5 | 4 | no | — |
| 365 | #4053 | — | 5 | 2 | no | — |
| 366 | #4053 | — | 10 | 2 | no | — |
| 367 | D5×M16 | — | 5 | 2 | no | — |
| 368 | D5×M16 | — | 5 | 4 | no | — |
| 369 | D5×M16 | — | 10 | 2 | no | — |
| 370 | C2×D40 | — | 5 | 2 | no | — |
| 371 | C2×D40 | — | 10 | 2 | no | — |
| 372 | #4047 | — | 10 | 2 | no | — |
| 373 | #4047 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 374 | C2×C8×D5 | — | 5 | 2 | no | — |
| 375 | C2×C8×D5 | — | 10 | 2 | no | — |
| 376 | C2×C8×D5 | — | 10 | 2 | no | — |
| 377 | #4013 | — | 10 | 8 | no | — |
| 378 | #4009 | — | 10 | 4 | no | — |
| 379 | #4007 | — | 10 | 4 | no | — |
| 380 | #4007 | — | 10 | 4 | no | — |
| 381 | #4007 | — | 10 | 4 | no | — |
| 382 | #4007 | — | 10 | 4 | no | — |
| 383 | #4007 | — | 10 | 4 | no | — |
| 384 | #4007 | — | 10 | 8 | no | — |
| 385 | #4007 | — | 10 | 8 | no | — |
| 386 | #3996 | — | 10 | 2 | no | — |
| 387 | #3995 | — | 10 | 2 | no | — |
| 388 | #3994 | — | 10 | 4 | no | — |
| 389 | #3993 | — | 10 | 2 | no | — |
| 390 | #3993 | — | 10 | 2 | no | — |
| 391 | #3993 | — | 10 | 4 | no | — |
| 392 | #3993 | — | 10 | 4 | no | — |
| 393 | #3993 | — | 10 | 4 | no | — |
| 394 | #3992 | — | 5 | 2 | no | — |
| 395 | #3992 | — | 5 | 2 | no | — |
| 396 | #3992 | — | 5 | 2 | no | — |
| 397 | #3992 | — | 5 | 2 | no | — |
| 398 | #3992 | — | 10 | 2 | no | — |
| 399 | #3992 | — | 10 | 2 | no | — |
| 400 | #3992 | — | 10 | 2 | no | — |
| 401 | #3992 | — | 10 | 2 | no | — |
| 402 | #3992 | — | 10 | 2 | no | — |
| 403 | #3992 | — | 10 | 2 | no | — |
| 404 | #3992 | — | 10 | 2 | no | — |
| 405 | #3992 | — | 10 | 4 | no | — |
| 406 | C8×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 407 | C8×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 408 | C8×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 409 | C8×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 410 | C5×#108 | — | 5 | 2 | no | — |
| 411 | C5×#100 | — | 5 | 4 | no | — |
| 412 | #3965 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 413 | #3955 | — | 5 | 4 | no | — |
| 414 | #3955 | — | 5 | 4 | no | — |
| 415 | #3954 | — | 5 | 4 | no | — |
| 416 | #3951 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 417 | C2×#472 | — | 25 | 1 | no | — |
| 418 | C4×AGL(1,ℤ/8) | — | 25 | 2 | no | — |
| 419 | C2×#442 | — | 25 | 1 | no | — |
| 420 | #2875 | — | 25 | 1 | no | — |
| 421 | #1978 | — | 25 | 1 | no | — |
| 422 | #1951 | — | 25 | 1 | no | — |
| 423 | #1931 | — | 25 | 2 | no | — |
| 424 | #1907 | — | 25 | 2 | no | — |
| 425 | #1815 | — | 25 | 1 | no | — |
| 426 | #1778 | — | 25 | 1 | no | — |
| 427 | C4×#100 | — | 25 | 2 | no | — |
| 428 | C22×C52 | — | 4 | 2 | no | — |
| 429 | C22×C52 | — | 8 | 2 | no | — |
| 430 | C22×C52 | C4×#41 | 1 | 1 | yes | characteristic |
| 431 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 432 | C2×C5⋊D5 | — | 4 | 2 | no | — |
| 433 | C2×C5⋊D5 | — | 8 | 4 | no | — |
| 434 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 435 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 436 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 437 | C2×C5⋊D5 | C2×#121 | 1 | 1 | yes | characteristic |
| 438 | C2×C5⋊D5 | #529 | 1 | 1 | yes | characteristic |
| 439 | C2×C5×D5 | — | 2 | 2 | no | — |
| 440 | D52 | — | 4 | 2 | no | — |
| 441 | #1044 | — | 4 | 2 | no | — |
| 442 | #1043 | — | 2 | 2 | no | — |
| 443 | #1043 | — | 2 | 2 | no | — |
| 444 | #1043 | — | 8 | 2 | no | — |
| 445 | C4×C52 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 446 | C4×C52 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 447 | #1039 | #525 | 1 | 1 | yes | characteristic |
| 448 | #1039 | #532 | 1 | 1 | yes | characteristic |
| 449 | C5×Dic5 | — | 2 | 2 | no | — |
| 450 | C23×D5 | — | 10 | 4 | no | — |
| 451 | C23×D5 | — | 20 | 4 | no | — |
| 452 | C22×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 453 | C22×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 454 | C22×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 455 | C22×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 456 | C22×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 457 | C22×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 458 | C22×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 459 | C22×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 460 | C22×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 461 | C22×AGL(1,𝔽5) | — | 40 | 16 | no | — |
| 462 | C22×AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 463 | C5×#41 | — | 5 | 2 | no | — |
| 464 | C2×C5×D4 | — | 2 | 4 | no | — |
| 465 | C2×C5×D4 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 466 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 467 | C2×C22⋊D5 | — | 20 | 4 | no | — |
| 468 | #713 | — | 5 | 2 | no | — |
| 469 | Q8×D5 | — | 5 | 2 | no | — |
| 470 | #711 | — | 5 | 2 | no | — |
| 471 | #711 | — | 10 | 2 | no | — |
| 472 | D4×D5 | — | 5 | 2 | no | — |
| 473 | D4×D5 | — | 10 | 4 | no | — |
| 474 | D4×D5 | — | 10 | 4 | no | — |
| 475 | D4×D5 | — | 10 | 4 | no | — |
| 476 | D4×D5 | — | 10 | 4 | no | — |
| 477 | D4×D5 | — | 10 | 2 | no | — |
| 478 | D4×D5 | — | 10 | 8 | no | — |
| 479 | D4×D5 | — | 10 | 8 | no | — |
| 480 | D4×D5 | — | 20 | 4 | no | — |
| 481 | D4×D5 | — | 20 | 4 | no | — |
| 482 | #709 | — | 10 | 2 | no | — |
| 483 | #709 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 484 | C2×D20 | — | 5 | 4 | no | — |
| 485 | C2×D20 | — | 10 | 4 | no | — |
| 486 | C2×C4×D5 | — | 5 | 2 | no | — |
| 487 | C2×C4×D5 | — | 10 | 2 | no | — |
| 488 | C2×C4×D5 | — | 10 | 2 | no | — |
| 489 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 490 | C22⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 491 | C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 492 | C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 493 | C22⋊AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 494 | C22⋊AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 495 | #704 | — | 5 | 4 | no | — |
| 496 | #704 | — | 10 | 4 | no | — |
| 497 | #704 | — | 10 | 4 | no | — |
| 498 | C2×#170 | — | 10 | 2 | no | — |
| 499 | C2×#170 | — | 10 | 4 | no | — |
| 500 | C2×#170 | — | 20 | 2 | no | — |
| 501 | C4⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 502 | C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 503 | C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 504 | C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 505 | C4⋊AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 506 | C4⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 507 | C4×AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 508 | C4×AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 509 | C4×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 510 | C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 511 | C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 512 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 513 | C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 514 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 515 | #700 | — | 10 | 2 | no | — |
| 516 | #700 | — | 10 | 4 | no | — |
| 517 | #700 | — | 10 | 4 | no | — |
| 518 | D5⋊C8 | — | 5 | 2 | no | — |
| 519 | D5⋊C8 | — | 5 | 2 | no | — |
| 520 | D5⋊C8 | — | 10 | 2 | no | — |
| 521 | D5⋊C8 | — | 10 | 2 | no | — |
| 522 | D5⋊C8 | — | 10 | 2 | no | — |
| 523 | D5⋊C8 | — | 10 | 2 | no | — |
| 524 | D5⋊C8 | — | 10 | 4 | no | — |
| 525 | D5⋊C8 | — | 10 | 4 | no | — |
| 526 | D5⋊C8 | — | 20 | 2 | no | — |
| 527 | C5×SD16 | — | 10 | 4 | no | — |
| 528 | C5×D8 | — | 2 | 4 | no | — |
| 529 | C5×D8 | — | 2 | 4 | no | — |
| 530 | C5×D8 | — | 2 | 2 | no | — |
| 531 | C5×D8 | — | 2 | 2 | no | — |
| 532 | C5×D8 | — | 10 | 4 | no | — |
| 533 | C5×M16 | — | 5 | 2 | no | — |
| 534 | C5×M16 | — | 5 | 4 | no | — |
| 535 | C5×M16 | — | 10 | 2 | no | — |
| 536 | C2×C5×C8 | — | 2 | 2 | no | — |
| 537 | C2×C5×C8 | — | 10 | 2 | no | — |
| 538 | C2×C5×C8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 539 | #688 | — | 10 | 4 | no | — |
| 540 | #687 | — | 2 | 4 | no | — |
| 541 | #686 | — | 2 | 4 | no | — |
| 542 | #686 | — | 10 | 4 | no | — |
| 543 | #686 | — | 10 | 4 | no | — |
| 544 | #686 | — | 10 | 4 | no | — |
| 545 | #686 | — | 10 | 8 | no | — |
| 546 | #686 | — | 10 | 8 | no | — |
| 547 | #681 | — | 10 | 2 | no | — |
| 548 | #681 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 549 | #681 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 550 | C2×#168 | — | 5 | 2 | no | — |
| 551 | C2×#168 | — | 10 | 2 | no | — |
| 552 | C2×#168 | — | 10 | 2 | no | — |
| 553 | D40 | — | 10 | 4 | no | — |
| 554 | D40 | — | 10 | 4 | no | — |
| 555 | D40 | — | 10 | 4 | no | — |
| 556 | D40 | — | 10 | 2 | no | — |
| 557 | D40 | — | 10 | 2 | no | — |
| 558 | #677 | — | 10 | 4 | no | — |
| 559 | #676 | — | 2 | 2 | no | — |
| 560 | #676 | — | 10 | 2 | no | — |
| 561 | #676 | — | 10 | 4 | no | — |
| 562 | #676 | — | 10 | 2 | no | — |
| 563 | C8×D5 | — | 2 | 2 | no | — |
| 564 | C8×D5 | — | 5 | 2 | no | — |
| 565 | C8×D5 | — | 5 | 2 | no | — |
| 566 | C8×D5 | — | 5 | 2 | no | — |
| 567 | C8×D5 | — | 5 | 2 | no | — |
| 568 | C8×D5 | — | 10 | 2 | no | — |
| 569 | C8×D5 | — | 10 | 2 | no | — |
| 570 | C8×D5 | — | 10 | 2 | no | — |
| 571 | C8×D5 | — | 10 | 2 | no | — |
| 572 | C8×D5 | — | 10 | 2 | no | — |
| 573 | C8×D5 | — | 10 | 4 | no | — |
| 574 | C8×D5 | — | 10 | 2 | no | — |
| 575 | C2×AGL(1,ℤ/8) | — | 25 | 2 | no | — |
| 576 | C22×D8 | — | 25 | 1 | no | — |
| 577 | C2×#131 | — | 25 | 1 | no | — |
| 578 | C2×#131 | — | 25 | 1 | no | — |
| 579 | C4×#41 | — | 25 | 1 | no | — |
| 580 | C2×C4×D4 | — | 25 | 2 | no | — |
| 581 | #472 | — | 5 | 2 | no | — |
| 582 | #472 | — | 25 | 4 | no | — |
| 583 | #472 | — | 25 | 2 | no | — |
| 584 | #442 | — | 50 | 1 | no | — |
| 585 | #442 | — | 50 | 1 | no | — |
| 586 | #442 | — | 50 | 1 | no | — |
| 587 | #442 | — | 50 | 1 | no | — |
| 588 | #442 | — | 50 | 2 | no | — |
| 589 | #440 | — | 50 | 2 | no | — |
| 590 | C4×SD16 | — | 50 | 2 | no | — |
| 591 | C4×D8 | — | 50 | 2 | no | — |
| 592 | C2×#108 | — | 25 | 1 | no | — |
| 593 | C2×#108 | — | 25 | 1 | no | — |
| 594 | #428 | — | 25 | 2 | no | — |
| 595 | C2×#106 | — | 25 | 1 | no | — |
| 596 | #418 | — | 25 | 2 | no | — |
| 597 | #417 | — | 25 | 2 | no | — |
| 598 | C2×#102 | — | 25 | 2 | no | — |
| 599 | C2×#100 | — | 25 | 2 | no | — |
| 600 | C2×#100 | — | 25 | 2 | no | — |
| 601 | #405 | — | 25 | 1 | no | — |
| 602 | #405 | — | 25 | 1 | no | — |
| 603 | #405 | — | 50 | 1 | no | — |
| 604 | #405 | — | 50 | 1 | no | — |
| 605 | C4×M16 | — | 25 | 1 | no | — |
| 606 | C4×M16 | — | 25 | 2 | no | — |
| 607 | C4×M16 | — | 50 | 1 | no | — |
| 608 | C2×#97 | — | 25 | 1 | no | — |
| 609 | C2×#97 | — | 50 | 1 | no | — |
| 610 | #343 | — | 25 | 2 | no | — |
| 611 | #343 | — | 25 | 2 | no | — |
| 612 | #341 | — | 25 | 2 | no | — |
| 613 | C2×C52 | — | 2 | 1 | no | — |
| 614 | C2×C52 | — | 8 | 2 | no | — |
| 615 | C2×C52 | C4×#121 | 1 | 1 | yes | characteristic |
| 616 | C5⋊D5 | — | 2 | 1 | no | — |
| 617 | C5⋊D5 | — | 8 | 2 | no | — |
| 618 | C5⋊D5 | #3068 | 1 | 2 | yes | — |
| 619 | C5×D5 | — | 4 | 2 | no | — |
| 620 | C23×C5 | — | 2 | 4 | no | — |
| 621 | C23×C5 | — | 4 | 4 | no | — |
| 622 | C22×D5 | — | 5 | 2 | no | — |
| 623 | C22×D5 | — | 10 | 2 | no | — |
| 624 | C22×D5 | — | 10 | 2 | no | — |
| 625 | C22×D5 | — | 10 | 4 | no | — |
| 626 | C22×D5 | — | 20 | 4 | no | — |
| 627 | C22×D5 | — | 20 | 4 | no | — |
| 628 | C22×D5 | — | 20 | 4 | no | — |
| 629 | C22×D5 | — | 20 | 8 | no | — |
| 630 | C22×D5 | — | 20 | 8 | no | — |
| 631 | C22×D5 | — | 40 | 8 | no | — |
| 632 | C22×D5 | — | 40 | 8 | no | — |
| 633 | C22×D5 | — | 40 | 4 | no | — |
| 634 | C22×D5 | — | 40 | 4 | no | — |
| 635 | C2×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 636 | C2×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 637 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 638 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 639 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 640 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 641 | C2×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 642 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 643 | C2×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 644 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 645 | C2×AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 646 | C2×AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 647 | C2×AGL(1,𝔽5) | — | 40 | 16 | no | — |
| 648 | C2×AGL(1,𝔽5) | — | 40 | 16 | no | — |
| 649 | C2×AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 650 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 651 | C5×Q8 | — | 5 | 2 | no | — |
| 652 | C5×D4 | — | 2 | 8 | no | — |
| 653 | C5×D4 | — | 2 | 4 | no | — |
| 654 | C5×D4 | — | 2 | 4 | no | — |
| 655 | C5×D4 | — | 4 | 4 | no | — |
| 656 | C5×D4 | — | 5 | 2 | no | — |
| 657 | C5×D4 | — | 10 | 2 | no | — |
| 658 | C2×C4×C5 | — | 2 | 2 | no | — |
| 659 | C2×C4×C5 | — | 10 | 2 | no | — |
| 660 | C2×C4×C5 | C23×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 661 | C22⋊D5 | — | 2 | 2 | no | — |
| 662 | C22⋊D5 | — | 10 | 2 | no | — |
| 663 | C22⋊D5 | — | 10 | 2 | no | — |
| 664 | C22⋊D5 | — | 20 | 4 | no | — |
| 665 | C22⋊D5 | — | 20 | 4 | no | — |
| 666 | C22⋊D5 | — | 20 | 8 | no | — |
| 667 | C22⋊D5 | — | 20 | 8 | no | — |
| 668 | C2×Dic5 | — | 5 | 2 | no | — |
| 669 | C2×Dic5 | — | 10 | 2 | no | — |
| 670 | C2×Dic5 | — | 10 | 2 | no | — |
| 671 | D20 | — | 10 | 8 | no | — |
| 672 | D20 | — | 10 | 2 | no | — |
| 673 | D20 | — | 10 | 4 | no | — |
| 674 | D20 | — | 10 | 4 | no | — |
| 675 | D20 | — | 20 | 4 | no | — |
| 676 | D20 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 677 | C4×D5 | — | 2 | 2 | no | — |
| 678 | C4×D5 | — | 5 | 2 | no | — |
| 679 | C4×D5 | — | 5 | 2 | no | — |
| 680 | C4×D5 | — | 5 | 2 | no | — |
| 681 | C4×D5 | — | 5 | 2 | no | — |
| 682 | C4×D5 | — | 10 | 2 | no | — |
| 683 | C4×D5 | — | 10 | 2 | no | — |
| 684 | C4×D5 | — | 10 | 2 | no | — |
| 685 | C4×D5 | — | 10 | 2 | no | — |
| 686 | C4×D5 | — | 10 | 2 | no | — |
| 687 | C4×D5 | — | 10 | 2 | no | — |
| 688 | Dic10 | — | 10 | 2 | no | — |
| 689 | Dic10 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 690 | #170 | — | 10 | 2 | no | — |
| 691 | #170 | — | 10 | 2 | no | — |
| 692 | #170 | — | 10 | 4 | no | — |
| 693 | #170 | — | 20 | 2 | no | — |
| 694 | #170 | — | 20 | 2 | no | — |
| 695 | #170 | — | 20 | 4 | no | — |
| 696 | C5×C8 | — | 2 | 2 | no | — |
| 697 | C5×C8 | — | 2 | 2 | no | — |
| 698 | C5×C8 | — | 10 | 2 | no | — |
| 699 | C5×C8 | — | 10 | 4 | no | — |
| 700 | C5×C8 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 701 | C5×C8 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 702 | #168 | — | 2 | 2 | no | — |
| 703 | #168 | — | 2 | 4 | no | — |
| 704 | #168 | — | 5 | 2 | no | — |
| 705 | #168 | — | 5 | 2 | no | — |
| 706 | #168 | — | 10 | 2 | no | — |
| 707 | #168 | — | 10 | 2 | no | — |
| 708 | C2×#41 | — | 25 | 1 | no | — |
| 709 | C22×D4 | — | 25 | 2 | no | — |
| 710 | C23×C4 | — | 50 | 2 | no | — |
| 711 | AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 712 | AGL(1,ℤ/8) | — | 25 | 4 | no | — |
| 713 | AGL(1,ℤ/8) | — | 50 | 4 | no | — |
| 714 | C2×SD16 | — | 50 | 2 | no | — |
| 715 | C2×D8 | — | 25 | 2 | no | — |
| 716 | C2×D8 | — | 25 | 1 | no | — |
| 717 | C2×D8 | — | 50 | 1 | no | — |
| 718 | C2×D8 | — | 50 | 1 | no | — |
| 719 | C2×D8 | — | 50 | 1 | no | — |
| 720 | C2×D8 | — | 50 | 1 | no | — |
| 721 | C2×D8 | — | 50 | 2 | no | — |
| 722 | C2×D8 | D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 723 | #131 | — | 5 | 2 | no | — |
| 724 | #131 | — | 25 | 2 | no | — |
| 725 | #131 | — | 50 | 1 | no | — |
| 726 | #131 | — | 50 | 1 | no | — |
| 727 | #131 | — | 50 | 2 | no | — |
| 728 | #131 | — | 50 | 2 | no | — |
| 729 | C2×M16 | — | 25 | 1 | no | — |
| 730 | C2×M16 | — | 25 | 2 | no | — |
| 731 | C2×M16 | — | 25 | 1 | no | — |
| 732 | C2×M16 | — | 25 | 2 | no | — |
| 733 | C2×M16 | — | 50 | 1 | no | — |
| 734 | C2×M16 | — | 50 | 1 | no | — |
| 735 | C22×C8 | — | 25 | 1 | no | — |
| 736 | C22×C8 | — | 25 | 1 | no | — |
| 737 | C22×C8 | — | 50 | 1 | no | — |
| 738 | C22×C8 | — | 50 | 1 | no | — |
| 739 | C4×Q8 | — | 25 | 2 | no | — |
| 740 | C4×D4 | — | 25 | 2 | no | — |
| 741 | C4×D4 | — | 50 | 2 | no | — |
| 742 | C4×D4 | — | 50 | 2 | no | — |
| 743 | C4×D4 | — | 50 | 2 | no | — |
| 744 | C4×D4 | — | 50 | 2 | no | — |
| 745 | C4×D4 | — | 50 | 2 | no | — |
| 746 | #117 | — | 25 | 1 | no | — |
| 747 | #117 | — | 50 | 1 | no | — |
| 748 | C2×C4⋊C4 | — | 25 | 2 | no | — |
| 749 | C2×C22⋊C4 | — | 50 | 2 | no | — |
| 750 | C2×C42 | — | 25 | 1 | no | — |
| 751 | C2×C42 | — | 50 | 1 | no | — |
| 752 | #108 | — | 5 | 2 | no | — |
| 753 | #108 | — | 25 | 2 | no | — |
| 754 | #108 | — | 50 | 1 | no | — |
| 755 | #108 | — | 50 | 1 | no | — |
| 756 | #107 | — | 50 | 2 | no | — |
| 757 | #106 | — | 50 | 2 | no | — |
| 758 | #106 | — | 50 | 1 | no | — |
| 759 | #106 | — | 50 | 1 | no | — |
| 760 | #103 | — | 50 | 2 | no | — |
| 761 | #102 | — | 50 | 2 | no | — |
| 762 | #102 | — | 50 | 2 | no | — |
| 763 | #102 | — | 50 | 2 | no | — |
| 764 | #102 | — | 50 | 2 | no | — |
| 765 | #102 | — | 50 | 2 | no | — |
| 766 | #100 | — | 5 | 4 | no | — |
| 767 | #100 | — | 25 | 4 | no | — |
| 768 | #100 | — | 50 | 4 | no | — |
| 769 | #97 | — | 25 | 1 | no | — |
| 770 | #97 | — | 25 | 1 | no | — |
| 771 | #97 | — | 25 | 1 | no | — |
| 772 | #97 | — | 25 | 1 | no | — |
| 773 | #97 | — | 50 | 1 | no | — |
| 774 | #97 | — | 50 | 2 | no | — |
| 775 | #97 | — | 50 | 1 | no | — |
| 776 | #97 | — | 50 | 1 | no | — |
| 777 | C4×C8 | — | 50 | 1 | no | — |
| 778 | C4×C8 | — | 50 | 2 | no | — |
| 779 | C4×C8 | — | 50 | 1 | no | — |
| 780 | C4×C8 | — | 50 | 1 | no | — |
| 781 | C52 | #21555 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 782 | C22×C5 | — | 2 | 2 | no | — |
| 783 | C22×C5 | — | 4 | 8 | no | — |
| 784 | C22×C5 | — | 4 | 4 | no | — |
| 785 | C22×C5 | — | 8 | 4 | no | — |
| 786 | C22×C5 | — | 8 | 8 | no | — |
| 787 | C22×C5 | — | 10 | 2 | no | — |
| 788 | C22×C5 | #41×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 789 | C2×D5 | — | 2 | 2 | no | — |
| 790 | C2×D5 | — | 5 | 2 | no | — |
| 791 | C2×D5 | — | 5 | 2 | no | — |
| 792 | C2×D5 | — | 10 | 2 | no | — |
| 793 | C2×D5 | — | 10 | 2 | no | — |
| 794 | C2×D5 | — | 10 | 4 | no | — |
| 795 | C2×D5 | — | 10 | 8 | no | — |
| 796 | C2×D5 | — | 20 | 4 | no | — |
| 797 | C2×D5 | — | 20 | 8 | no | — |
| 798 | C2×D5 | — | 20 | 4 | no | — |
| 799 | C2×D5 | — | 40 | 4 | no | — |
| 800 | C2×D5 | — | 40 | 4 | no | — |
| 801 | C2×D5 | — | 40 | 8 | no | — |
| 802 | C2×D5 | — | 40 | 8 | no | — |
| 803 | C2×D5 | — | 40 | 16 | no | — |
| 804 | C2×D5 | — | 40 | 8 | no | — |
| 805 | C2×D5 | — | 40 | 8 | no | — |
| 806 | C2×D5 | — | 40 | 4 | no | — |
| 807 | AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 808 | AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 809 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 810 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 811 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 812 | AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 813 | AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 814 | C4×C5 | — | 2 | 2 | no | — |
| 815 | C4×C5 | — | 2 | 2 | no | — |
| 816 | C4×C5 | — | 10 | 2 | no | — |
| 817 | C4×C5 | C2×D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 818 | C4×C5 | C2×D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 819 | Dic5 | — | 2 | 2 | no | — |
| 820 | Dic5 | — | 5 | 2 | no | — |
| 821 | Dic5 | — | 5 | 2 | no | — |
| 822 | Dic5 | — | 10 | 2 | no | — |
| 823 | Dic5 | — | 10 | 2 | no | — |
| 824 | C24 | — | 50 | 2 | no | — |
| 825 | #41 | — | 5 | 2 | no | — |
| 826 | #41 | — | 25 | 2 | no | — |
| 827 | #41 | — | 50 | 1 | no | — |
| 828 | #41 | — | 50 | 1 | no | — |
| 829 | C2×Q8 | — | 25 | 1 | no | — |
| 830 | C2×D4 | — | 25 | 1 | no | — |
| 831 | C2×D4 | — | 25 | 2 | no | — |
| 832 | C2×D4 | — | 50 | 2 | no | — |
| 833 | C2×D4 | — | 50 | 2 | no | — |
| 834 | C2×D4 | — | 50 | 2 | no | — |
| 835 | C2×D4 | — | 50 | 2 | no | — |
| 836 | C2×D4 | — | 50 | 2 | no | — |
| 837 | C2×D4 | — | 50 | 1 | no | — |
| 838 | C2×D4 | C2×D5⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 839 | C22×C4 | — | 25 | 1 | no | — |
| 840 | C22×C4 | — | 25 | 2 | no | — |
| 841 | C22×C4 | — | 50 | 1 | no | — |
| 842 | C22×C4 | — | 50 | 2 | no | — |
| 843 | C22×C4 | — | 50 | 2 | no | — |
| 844 | C22×C4 | — | 100 | 2 | no | — |
| 845 | C22×C4 | — | 100 | 2 | no | — |
| 846 | C22×C4 | — | 200 | 4 | no | — |
| 847 | SD16 | — | 10 | 4 | no | — |
| 848 | SD16 | — | 50 | 4 | no | — |
| 849 | D8 | — | 2 | 1 | no | — |
| 850 | D8 | — | 2 | 1 | no | — |
| 851 | D8 | — | 10 | 4 | no | — |
| 852 | D8 | — | 50 | 4 | no | — |
| 853 | D8 | — | 50 | 2 | no | — |
| 854 | D8 | — | 50 | 2 | no | — |
| 855 | D8 | — | 50 | 1 | no | — |
| 856 | D8 | — | 50 | 1 | no | — |
| 857 | M16 | — | 5 | 2 | no | — |
| 858 | M16 | — | 5 | 4 | no | — |
| 859 | M16 | — | 10 | 2 | no | — |
| 860 | M16 | — | 25 | 2 | no | — |
| 861 | M16 | — | 50 | 1 | no | — |
| 862 | M16 | — | 50 | 2 | no | — |
| 863 | M16 | — | 50 | 2 | no | — |
| 864 | M16 | — | 50 | 1 | no | — |
| 865 | M16 | — | 50 | 4 | no | — |
| 866 | M16 | — | 50 | 2 | no | — |
| 867 | M16 | — | 50 | 2 | no | — |
| 868 | C2×C8 | — | 10 | 2 | no | — |
| 869 | C2×C8 | — | 25 | 1 | no | — |
| 870 | C2×C8 | — | 25 | 1 | no | — |
| 871 | C2×C8 | — | 25 | 1 | no | — |
| 872 | C2×C8 | — | 25 | 1 | no | — |
| 873 | C2×C8 | — | 25 | 1 | no | — |
| 874 | C2×C8 | — | 25 | 1 | no | — |
| 875 | C2×C8 | — | 25 | 1 | no | — |
| 876 | C2×C8 | — | 50 | 1 | no | — |
| 877 | C2×C8 | — | 50 | 2 | no | — |
| 878 | C2×C8 | — | 50 | 2 | no | — |
| 879 | C2×C8 | — | 50 | 1 | no | — |
| 880 | C2×C8 | — | 50 | 1 | no | — |
| 881 | C2×C8 | — | 50 | 1 | no | — |
| 882 | C2×C8 | — | 50 | 4 | no | — |
| 883 | C2×C8 | — | 50 | 2 | no | — |
| 884 | C2×C8 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 885 | C4⋊C4 | — | 25 | 2 | no | — |
| 886 | C4⋊C4 | — | 50 | 2 | no | — |
| 887 | C4⋊C4 | — | 50 | 2 | no | — |
| 888 | C4⋊C4 | — | 50 | 2 | no | — |
| 889 | C22⋊C4 | — | 50 | 2 | no | — |
| 890 | C22⋊C4 | — | 50 | 1 | no | — |
| 891 | C22⋊C4 | — | 100 | 2 | no | — |
| 892 | C22⋊C4 | — | 100 | 2 | no | — |
| 893 | C42 | — | 25 | 1 | no | — |
| 894 | C42 | — | 25 | 2 | no | — |
| 895 | C42 | — | 25 | 1 | no | — |
| 896 | C42 | — | 50 | 1 | no | — |
| 897 | C42 | — | 50 | 2 | no | — |
| 898 | C2×C5 | — | 2 | 4 | no | — |
| 899 | C2×C5 | — | 2 | 2 | no | — |
| 900 | C2×C5 | — | 2 | 2 | no | — |
| 901 | C2×C5 | — | 8 | 8 | no | — |
| 902 | C2×C5 | — | 8 | 4 | no | — |
| 903 | C2×C5 | — | 20 | 2 | no | — |
| 904 | C2×C5 | AGL(1,𝔽5)×#121 | 1 | 2 | yes | — |
| 905 | D5 | — | 4 | 2 | no | — |
| 906 | D5 | — | 5 | 4 | no | — |
| 907 | D5 | — | 10 | 4 | no | — |
| 908 | D5 | — | 10 | 4 | no | — |
| 909 | D5 | — | 10 | 2 | no | — |
| 910 | D5 | — | 40 | 8 | no | — |
| 911 | D5 | — | 40 | 4 | no | — |
| 912 | C23 | — | 2 | 2 | no | — |
| 913 | C23 | — | 25 | 1 | no | — |
| 914 | C23 | — | 50 | 1 | no | — |
| 915 | C23 | — | 50 | 2 | no | — |
| 916 | C23 | — | 100 | 2 | no | — |
| 917 | C23 | — | 100 | 2 | no | — |
| 918 | C23 | — | 200 | 2 | no | — |
| 919 | C23 | — | 200 | 2 | no | — |
| 920 | Q8 | — | 5 | 2 | no | — |
| 921 | Q8 | — | 50 | 1 | no | — |
| 922 | D4 | — | 2 | 2 | no | — |
| 923 | D4 | — | 2 | 2 | no | — |
| 924 | D4 | — | 5 | 2 | no | — |
| 925 | D4 | — | 10 | 2 | no | — |
| 926 | D4 | — | 50 | 2 | no | — |
| 927 | D4 | — | 50 | 1 | no | — |
| 928 | D4 | — | 50 | 2 | no | — |
| 929 | D4 | — | 50 | 2 | no | — |
| 930 | D4 | — | 100 | 2 | no | — |
| 931 | D4 | — | 100 | 2 | no | — |
| 932 | C2×C4 | — | 10 | 2 | no | — |
| 933 | C2×C4 | — | 25 | 1 | no | — |
| 934 | C2×C4 | — | 25 | 1 | no | — |
| 935 | C2×C4 | — | 25 | 1 | no | — |
| 936 | C2×C4 | — | 25 | 1 | no | — |
| 937 | C2×C4 | — | 25 | 1 | no | — |
| 938 | C2×C4 | — | 25 | 2 | no | — |
| 939 | C2×C4 | — | 25 | 2 | no | — |
| 940 | C2×C4 | — | 50 | 1 | no | — |
| 941 | C2×C4 | — | 50 | 2 | no | — |
| 942 | C2×C4 | — | 50 | 2 | no | — |
| 943 | C2×C4 | — | 100 | 2 | no | — |
| 944 | C2×C4 | — | 100 | 2 | no | — |
| 945 | C2×C4 | — | 200 | 2 | no | — |
| 946 | C2×C4 | — | 200 | 4 | no | — |
| 947 | C2×C4 | — | 200 | 4 | no | — |
| 948 | C2×C4 | — | 200 | 2 | no | — |
| 949 | C2×C4 | C22×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 950 | C8 | — | 10 | 4 | no | — |
| 951 | C8 | — | 10 | 2 | no | — |
| 952 | C8 | — | 25 | 1 | no | — |
| 953 | C8 | — | 25 | 1 | no | — |
| 954 | C8 | — | 50 | 1 | no | — |
| 955 | C8 | — | 50 | 1 | no | — |
| 956 | C8 | — | 50 | 2 | no | — |
| 957 | C8 | — | 100 | 2 | no | — |
| 958 | C8 | #11717375 | 1 | 1 | yes | characteristic |
| 959 | C8 | #11717375 | 1 | 1 | yes | characteristic |
| 960 | C5 | — | 2 | 2 | no | — |
| 961 | C5 | #13036385 | 1 | 2 | yes | complemented |
| 962 | C22 | — | 4 | 2 | no | — |
| 963 | C22 | — | 8 | 2 | no | — |
| 964 | C22 | — | 10 | 2 | no | — |
| 965 | C22 | — | 25 | 1 | no | — |
| 966 | C22 | — | 25 | 1 | no | — |
| 967 | C22 | — | 50 | 2 | no | — |
| 968 | C22 | — | 100 | 2 | no | — |
| 969 | C22 | — | 100 | 2 | no | — |
| 970 | C22 | — | 200 | 2 | no | — |
| 971 | C22 | — | 200 | 2 | no | — |
| 972 | C22 | — | 200 | 2 | no | — |
| 973 | C22 | — | 200 | 4 | no | — |
| 974 | C22 | #13107568 | 1 | 1 | yes | characteristic |
| 975 | C4 | — | 10 | 2 | no | — |
| 976 | C4 | — | 25 | 1 | no | — |
| 977 | C4 | — | 25 | 1 | no | — |
| 978 | C4 | — | 50 | 2 | no | — |
| 979 | C4 | — | 50 | 2 | no | — |
| 980 | C4 | — | 100 | 2 | no | — |
| 981 | C4 | — | 200 | 2 | no | — |
| 982 | C4 | D4×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 983 | C4 | C2×#11717375 | 1 | 1 | yes | characteristic |
| 984 | C2 | — | 2 | 1 | no | — |
| 985 | C2 | — | 8 | 2 | no | — |
| 986 | C2 | — | 20 | 2 | no | — |
| 987 | C2 | — | 25 | 2 | no | — |
| 988 | C2 | — | 50 | 1 | no | — |
| 989 | C2 | — | 200 | 2 | no | — |
| 990 | C2 | #72221564 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72221111 | C2 | semidirect |
| 2. #72221069 | C2 | semidirect |
| 3. #72221065 | C2 | semidirect |
| 4. #72221062 | C2 | semidirect |
| 6. #72221028 | C2 | semidirect |
| 7. #72221027 | C2 | semidirect |
| 8. #72220842 | C2 | semidirect |
| 9. C2×#13104743 | C2 | semidirect |
| 10. #72213490 | C2 | semidirect |
| 11. #72213282 | C2 | semidirect |
| 42. C5×#65449 | C4 | semidirect |
| 43. #13101699 | C4 | semidirect |
| 45. #13101101 | C4 | semidirect |
| 74. C2×C52×D8 | C2×C4 | semidirect |
| 75. C2×#87809 | C2×C4 | semidirect |
| 80. C2×#87801 | C2×C4 | semidirect |
| 82. C5×#4078 | C2×C4 | semidirect |
| 83. C5×#4047 | C2×C4 | semidirect |
| 87. #11716943 | C2×C4 | semidirect |
| 90. #11716933 | C2×C4 | semidirect |
| 120. C5×#3965 | C2×C4 | semidirect |
| 121. C5×#3951 | C2×C4 | semidirect |
| 122. #11716619 | C2×C4 | semidirect |
| 123. #11716600 | C2×C4 | semidirect |
| 251. #65449 | AGL(1,𝔽5) | semidirect |
| 345. C2×C5×D8 | C2×AGL(1,𝔽5) | semidirect |
| 349. #4078 | C2×AGL(1,𝔽5) | semidirect |
| 373. #4047 | C2×AGL(1,𝔽5) | semidirect |
| 412. #3965 | C2×AGL(1,𝔽5) | semidirect |
| 416. #3951 | C2×AGL(1,𝔽5) | semidirect |
| 722. C2×D8 | D5⋊AGL(1,𝔽5) | semidirect |
| 781. C52 | #21555 | semidirect |
| 961. C5 | #13036385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72221111 | 2 |
| #72221069 | 2 |
| #72221065 | 2 |
| #72221062 | 2 |
| #72221032 | 2 |
| #72221028 | 2 |
| #72221027 | 2 |
| #72220842 | 2 |
| C2×#13104743 | 2 |
| #72213490 | 2 |
| #72213282 | 2 |
| #13036385 | 5 |