Finite Group DatabasebetaFinite Group DatabasebetaOrder 6400.
2384 conjugacy classes of subgroups.
The subgroup lattice has 949 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72221067 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72221062 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72221018 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72221016 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #72220974 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72220959 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72220921 | C2 | 1 | 2 | yes | maximal |
| 8 | #72220803 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #72213383 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13107821 | C22 | 1 | 1 | yes | characteristic |
| 11 | #13107771 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | #13107562 | C22 | 1 | 2 | yes | — |
| 13 | #13107548 | C22 | 1 | 2 | yes | — |
| 14 | #124×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 15 | #13106467 | C22 | 1 | 2 | yes | — |
| 16 | #13104927 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #13104909 | C22 | 1 | 2 | yes | — |
| 18 | C2×#11716877 | C22 | 1 | 2 | yes | complemented |
| 19 | C2×#11716875 | C22 | 1 | 2 | yes | — |
| 20 | #13104700 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #13104688 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #13104080 | — | 2 | 2 | no | — |
| 23 | #13104079 | — | 2 | 2 | no | — |
| 24 | #13104076 | — | 2 | 2 | no | — |
| 25 | #13104075 | — | 2 | 2 | no | — |
| 26 | #13104063 | — | 2 | 2 | no | — |
| 27 | #13104054 | — | 2 | 2 | no | — |
| 28 | #13104053 | — | 2 | 2 | no | — |
| 29 | D5⋊#4007 | — | 2 | 2 | no | — |
| 30 | #13103962 | C22 | 1 | 2 | yes | complemented |
| 31 | #13103934 | C22 | 1 | 2 | yes | — |
| 32 | #13103931 | C22 | 1 | 2 | yes | — |
| 33 | #13103902 | C22 | 1 | 2 | yes | complemented |
| 34 | C5×#65350 | C4 | 1 | 2 | yes | complemented |
| 35 | #13101839 | C4 | 1 | 2 | yes | complemented |
| 36 | #13101703 | C4 | 1 | 2 | yes | complemented |
| 37 | #13101682 | C22 | 1 | 1 | yes | characteristic |
| 38 | #13100578 | C4 | 1 | 2 | yes | complemented |
| 39 | #13100574 | C22 | 1 | 2 | yes | — |
| 40 | #13100332 | C22 | 1 | 2 | yes | complemented |
| 41 | #13099912 | C22 | 1 | 2 | yes | complemented |
| 42 | #13099910 | C22 | 1 | 2 | yes | complemented |
| 43 | #13041080 | — | 5 | 2 | no | maximal |
| 44 | C2×Q8×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 45 | C2×D4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 46 | C5×#4144 | C2×C4 | 1 | 2 | yes | — |
| 47 | #11717495 | — | 4 | 1 | no | — |
| 48 | C2×#87886 | — | 4 | 1 | no | — |
| 49 | #11717479 | — | 2 | 4 | no | — |
| 50 | #11717477 | — | 2 | 2 | no | — |
| 51 | D4×D52 | — | 2 | 2 | no | — |
| 52 | #11717473 | C2×C4 | 1 | 2 | yes | — |
| 53 | #11717471 | C23 | 1 | 2 | yes | — |
| 54 | Q8×#1044 | — | 2 | 2 | no | — |
| 55 | Q8×#1044 | — | 2 | 2 | no | — |
| 56 | #11717451 | — | 4 | 1 | no | — |
| 57 | #11717451 | C23 | 1 | 2 | yes | — |
| 58 | #11717448 | C23 | 1 | 2 | yes | — |
| 59 | C2×C4⋊#1043 | — | 4 | 1 | no | — |
| 60 | C2×C4⋊#1043 | C23 | 1 | 2 | yes | — |
| 61 | C2×#87855 | C23 | 1 | 2 | yes | — |
| 62 | #11717375 | — | 4 | 2 | no | — |
| 63 | #11717371 | — | 4 | 2 | no | — |
| 64 | #11717365 | — | 2 | 2 | no | — |
| 65 | D5⋊(C4⋊AGL(1,𝔽5)) | — | 2 | 2 | no | — |
| 66 | #11717361 | — | 2 | 2 | no | — |
| 67 | #11717358 | — | 2 | 4 | no | — |
| 68 | D5⋊(D5⋊C8) | — | 2 | 2 | no | — |
| 69 | #11717355 | — | 2 | 2 | no | — |
| 70 | #11717354 | — | 2 | 2 | no | — |
| 71 | C52×#124 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 72 | #11717267 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 73 | #11717256 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 74 | #11717205 | — | 4 | 1 | no | — |
| 75 | C22⋊C4×C5⋊D5 | — | 4 | 1 | no | — |
| 76 | #11717195 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 77 | C42×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 78 | C5×#4088 | C2×C4 | 1 | 4 | yes | complemented |
| 79 | #11717069 | — | 2 | 4 | no | — |
| 80 | #11717062 | — | 2 | 2 | no | — |
| 81 | #11717058 | — | 2 | 2 | no | — |
| 82 | #11716949 | C2×C4 | 1 | 4 | yes | complemented |
| 83 | #11716936 | C23 | 1 | 2 | yes | — |
| 84 | #11716900 | — | 2 | 2 | no | — |
| 85 | #11716900 | — | 2 | 2 | no | — |
| 86 | #11716898 | — | 4 | 1 | no | — |
| 87 | #11716877 | — | 2 | 2 | no | — |
| 88 | #11716877 | — | 2 | 2 | no | — |
| 89 | #11716875 | — | 2 | 2 | no | — |
| 90 | #11716875 | — | 2 | 2 | no | — |
| 91 | #11716870 | — | 4 | 1 | no | — |
| 92 | #11716772 | — | 2 | 2 | no | — |
| 93 | #11716771 | — | 2 | 2 | no | — |
| 94 | #11716768 | D4 | 1 | 2 | yes | — |
| 95 | #11716768 | D4 | 1 | 2 | yes | — |
| 96 | #11716767 | — | 2 | 2 | no | — |
| 97 | #11716766 | D4 | 1 | 2 | yes | — |
| 98 | #11716766 | D4 | 1 | 2 | yes | — |
| 99 | #11716765 | — | 2 | 2 | no | — |
| 100 | #11716764 | — | 2 | 2 | no | — |
| 101 | #11716762 | — | 2 | 2 | no | — |
| 102 | C5×#3965 | C2×C4 | 1 | 2 | yes | complemented |
| 103 | C5×#3937 | C2×C4 | 1 | 4 | yes | complemented |
| 104 | #11716609 | C2×C4 | 1 | 4 | yes | complemented |
| 105 | #11716600 | C2×C4 | 1 | 2 | yes | complemented |
| 106 | #10617559 | — | 5 | 4 | no | — |
| 107 | #10617451 | — | 5 | 4 | no | — |
| 108 | D5×#455 | — | 5 | 2 | no | — |
| 109 | #10604870 | — | 5 | 4 | no | — |
| 110 | #10604567 | — | 5 | 2 | no | — |
| 111 | #10604567 | — | 10 | 2 | no | — |
| 112 | #10604563 | — | 5 | 2 | no | — |
| 113 | #10604006 | — | 5 | 4 | no | — |
| 114 | #10604003 | — | 5 | 4 | no | — |
| 115 | #10603927 | — | 5 | 4 | no | — |
| 116 | C23×C5⋊D5 | — | 2 | 1 | no | — |
| 117 | C22×D52 | — | 4 | 1 | no | — |
| 118 | C22×#1043 | — | 2 | 2 | no | — |
| 119 | C2×D5⋊AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 120 | C2×C52×Q8 | C22×C4 | 1 | 1 | yes | characteristic |
| 121 | C2×C52×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 122 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 123 | Q8×C5⋊D5 | — | 2 | 2 | no | — |
| 124 | Q8×C5⋊D5 | — | 2 | 2 | no | — |
| 125 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 126 | D4×C5⋊D5 | — | 2 | 2 | no | — |
| 127 | C2×C4⋊(C5⋊D5) | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 129 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 130 | C2×C4×C5⋊D5 | C24 | 1 | 1 | yes | characteristic |
| 131 | C2×#6045 | — | 2 | 1 | no | — |
| 132 | C2×#6045 | C22×C4 | 1 | 1 | yes | characteristic |
| 133 | C2×C5×C22⋊D5 | — | 4 | 2 | no | — |
| 134 | C5×#711 | — | 2 | 4 | no | — |
| 135 | C5×D4×D5 | — | 2 | 4 | no | — |
| 136 | C5×#709 | C22×C4 | 1 | 4 | yes | — |
| 137 | #87886 | — | 2 | 2 | no | — |
| 138 | #87886 | — | 4 | 2 | no | — |
| 139 | #87886 | — | 4 | 2 | no | — |
| 140 | #87886 | — | 4 | 2 | no | — |
| 141 | D5×C22⋊D5 | — | 4 | 4 | no | — |
| 142 | C2×#6038 | — | 4 | 2 | no | — |
| 143 | C2×#6036 | — | 4 | 1 | no | — |
| 144 | #87880 | — | 2 | 2 | no | — |
| 145 | #87879 | — | 4 | 4 | no | — |
| 146 | #87877 | C2×D4 | 1 | 2 | yes | — |
| 147 | D5×D20 | — | 2 | 4 | no | — |
| 148 | C4×D52 | — | 2 | 2 | no | — |
| 149 | #87874 | — | 2 | 4 | no | — |
| 150 | #87873 | — | 2 | 2 | no | — |
| 151 | #87872 | C2×D4 | 1 | 2 | yes | — |
| 152 | #87871 | #41 | 1 | 4 | yes | — |
| 153 | C22⋊#1044 | — | 2 | 2 | no | — |
| 154 | #87867 | — | 2 | 2 | no | — |
| 155 | C4⋊#1044 | — | 4 | 1 | no | — |
| 156 | C4⋊#1044 | — | 4 | 1 | no | — |
| 157 | C4⋊#1044 | C2×D4 | 1 | 2 | yes | — |
| 158 | C4⋊#1044 | C2×D4 | 1 | 2 | yes | — |
| 159 | C4×#1044 | — | 2 | 2 | no | — |
| 160 | C4×#1044 | — | 4 | 2 | no | — |
| 161 | #87863 | — | 2 | 2 | no | — |
| 162 | #87862 | — | 2 | 2 | no | — |
| 163 | C2×#6033 | — | 2 | 2 | no | — |
| 164 | C4⋊#1043 | — | 2 | 2 | no | — |
| 165 | C4⋊#1043 | — | 2 | 2 | no | — |
| 166 | C4⋊#1043 | — | 8 | 2 | no | — |
| 167 | #87855 | — | 2 | 2 | no | — |
| 168 | #87855 | C2×D4 | 1 | 2 | yes | — |
| 169 | #87855 | C2×D4 | 1 | 2 | yes | — |
| 170 | #87834 | — | 4 | 4 | no | — |
| 171 | D5⋊#170 | — | 4 | 4 | no | — |
| 172 | #87832 | — | 4 | 2 | no | — |
| 173 | #87831 | — | 4 | 2 | no | — |
| 174 | #87830 | — | 4 | 2 | no | — |
| 175 | C52×C22⋊C4 | — | 4 | 1 | no | — |
| 176 | C42×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 177 | C22⋊#1039 | — | 4 | 1 | no | — |
| 178 | #87808 | — | 4 | 1 | no | — |
| 179 | #87808 | — | 4 | 1 | no | — |
| 180 | C4×#1039 | — | 2 | 1 | no | — |
| 181 | C4×#1039 | C22×C4 | 1 | 1 | yes | characteristic |
| 182 | C5×#689 | — | 2 | 4 | no | — |
| 183 | C5×#688 | — | 2 | 4 | no | — |
| 184 | C5×#681 | C22×C4 | 1 | 4 | yes | — |
| 185 | #87776 | — | 2 | 4 | no | — |
| 186 | #87773 | — | 2 | 4 | no | — |
| 187 | #87769 | — | 2 | 2 | no | — |
| 188 | #87767 | — | 2 | 2 | no | — |
| 189 | D5×H(5,𝔽2) | — | 5 | 2 | no | — |
| 190 | #66266 | — | 5 | 4 | no | — |
| 191 | D5⋊#131 | — | 5 | 4 | no | — |
| 192 | #66262 | — | 5 | 2 | no | — |
| 193 | D5×#137 | — | 5 | 4 | no | — |
| 194 | D5×#124 | — | 5 | 2 | no | — |
| 195 | D5×#124 | — | 10 | 2 | no | — |
| 196 | #65794 | — | 5 | 4 | no | — |
| 197 | #65794 | — | 10 | 4 | no | — |
| 198 | #65793 | — | 5 | 4 | no | — |
| 199 | #65793 | — | 10 | 4 | no | — |
| 200 | D5⋊#101 | — | 5 | 2 | no | — |
| 201 | C2×#4009 | — | 5 | 4 | no | — |
| 202 | C2×#4009 | — | 10 | 4 | no | — |
| 203 | #65767 | — | 5 | 4 | no | — |
| 204 | #65767 | — | 10 | 4 | no | — |
| 205 | C2×#4007 | — | 5 | 4 | no | — |
| 206 | C2×#4007 | — | 10 | 4 | no | — |
| 207 | C2×#4007 | — | 10 | 4 | no | — |
| 208 | #65739 | — | 10 | 4 | no | — |
| 209 | Q16×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 210 | #65735 | — | 10 | 4 | no | — |
| 211 | SD16×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 212 | #65728 | — | 5 | 4 | no | — |
| 213 | #65727 | — | 5 | 4 | no | — |
| 214 | #65688 | — | 5 | 2 | no | — |
| 215 | #65688 | — | 10 | 2 | no | — |
| 216 | #65676 | — | 5 | 2 | no | — |
| 217 | #65676 | — | 10 | 2 | no | — |
| 218 | C5×#455 | — | 5 | 2 | no | — |
| 219 | #65531 | — | 5 | 2 | no | — |
| 220 | #65491 | — | 5 | 4 | no | — |
| 221 | #65350 | AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 222 | #65114 | — | 5 | 4 | no | — |
| 223 | D5×#104 | — | 5 | 4 | no | — |
| 224 | #65035 | — | 5 | 2 | no | — |
| 225 | D5×#100 | — | 5 | 2 | no | — |
| 226 | #64901 | — | 5 | 4 | no | — |
| 227 | #64899 | — | 5 | 4 | no | — |
| 228 | #64862 | — | 5 | 4 | no | — |
| 229 | #22890 | — | 25 | 1 | no | Sylow |
| 230 | C23×C52 | — | 2 | 1 | no | — |
| 231 | C22×C5⋊D5 | — | 2 | 1 | no | — |
| 232 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 233 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 234 | C22×C5⋊D5 | — | 8 | 1 | no | — |
| 235 | C22×C5⋊D5 | — | 8 | 1 | no | — |
| 236 | C22×C5⋊D5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 237 | C22×C5×D5 | — | 4 | 2 | no | — |
| 238 | C2×D52 | — | 2 | 2 | no | — |
| 239 | C2×D52 | — | 4 | 2 | no | — |
| 240 | C2×D52 | — | 16 | 1 | no | — |
| 241 | C2×D52 | — | 16 | 1 | no | — |
| 242 | C2×#1044 | — | 2 | 2 | no | — |
| 243 | C2×#1044 | — | 2 | 2 | no | — |
| 244 | C2×#1043 | — | 4 | 2 | no | — |
| 245 | C2×#1043 | — | 8 | 2 | no | — |
| 246 | D5⋊AGL(1,𝔽5) | — | 16 | 2 | no | — |
| 247 | C52×Q8 | — | 2 | 2 | no | — |
| 248 | C52×D4 | — | 2 | 2 | no | — |
| 249 | C2×C4×C52 | — | 2 | 1 | no | — |
| 250 | C2×C4×C52 | — | 2 | 1 | no | — |
| 251 | C2×C4×C52 | C23×C4 | 1 | 1 | yes | characteristic |
| 252 | C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 253 | C2×#1039 | — | 2 | 1 | no | — |
| 254 | C2×#1039 | — | 2 | 1 | no | — |
| 255 | C2×#1039 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 256 | C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 257 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 258 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 259 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 260 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 261 | C4×C5⋊D5 | C22×D4 | 1 | 2 | yes | — |
| 262 | C4×C5⋊D5 | C2×#41 | 1 | 2 | yes | — |
| 263 | #6045 | — | 2 | 2 | no | — |
| 264 | #6045 | — | 4 | 2 | no | — |
| 265 | C5×C22⋊D5 | — | 2 | 4 | no | — |
| 266 | C5×C22⋊D5 | — | 4 | 4 | no | — |
| 267 | C2×C5×Dic5 | — | 4 | 2 | no | — |
| 268 | C5×D20 | C4×D4 | 1 | 4 | yes | — |
| 269 | C4×C5×D5 | — | 2 | 4 | no | — |
| 270 | C5×Dic10 | C4×D4 | 1 | 4 | yes | — |
| 271 | #6039 | — | 2 | 2 | no | — |
| 272 | #6038 | — | 2 | 4 | no | — |
| 273 | #6038 | — | 4 | 4 | no | — |
| 274 | #6037 | — | 2 | 2 | no | — |
| 275 | #6036 | — | 2 | 2 | no | — |
| 276 | #6036 | — | 4 | 2 | no | — |
| 277 | D5×Dic5 | — | 2 | 4 | no | — |
| 278 | #6034 | — | 4 | 2 | no | — |
| 279 | #6033 | — | 2 | 2 | no | — |
| 280 | #6033 | — | 2 | 2 | no | — |
| 281 | C5×#168 | — | 2 | 4 | no | — |
| 282 | C5×H(5,𝔽2) | — | 5 | 2 | no | — |
| 283 | #4149 | — | 5 | 4 | no | — |
| 284 | #4149 | — | 10 | 4 | no | — |
| 285 | D5×#41 | — | 5 | 4 | no | — |
| 286 | D5×#41 | — | 10 | 4 | no | — |
| 287 | C2×Q8×D5 | — | 5 | 2 | no | — |
| 288 | C2×Q8×D5 | — | 10 | 2 | no | — |
| 289 | #4144 | — | 10 | 4 | no | — |
| 290 | #4144 | — | 20 | 2 | no | — |
| 291 | #4144 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 292 | C2×D4×D5 | — | 5 | 2 | no | — |
| 293 | C2×D4×D5 | — | 10 | 2 | no | — |
| 294 | C2×D4×D5 | — | 10 | 4 | no | — |
| 295 | C2×D4×D5 | — | 20 | 2 | no | — |
| 296 | Q8×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 297 | Q8×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 298 | Q8×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 299 | #4133 | — | 10 | 4 | no | — |
| 300 | D4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 301 | D4×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 302 | #4131 | — | 10 | 4 | no | — |
| 303 | #4131 | — | 20 | 4 | no | — |
| 304 | #4130 | — | 5 | 4 | no | — |
| 305 | #4130 | — | 10 | 4 | no | — |
| 306 | #4130 | — | 20 | 2 | no | — |
| 307 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 308 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 309 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 310 | C2×C4⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 311 | C2×C4⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 312 | D5⋊M16 | — | 5 | 4 | no | — |
| 313 | D5⋊M16 | — | 10 | 4 | no | — |
| 314 | C2×D5⋊C8 | — | 5 | 4 | no | — |
| 315 | C2×D5⋊C8 | — | 10 | 4 | no | — |
| 316 | C2×D5⋊C8 | — | 10 | 4 | no | — |
| 317 | C5×#137 | — | 5 | 4 | no | — |
| 318 | C5×#124 | — | 2 | 2 | no | — |
| 319 | C5×#124 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 320 | #4097 | — | 5 | 4 | no | — |
| 321 | #4093 | — | 5 | 2 | no | — |
| 322 | #4093 | — | 10 | 2 | no | — |
| 323 | #4088 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 324 | #4082 | — | 5 | 2 | no | — |
| 325 | #4082 | — | 10 | 2 | no | — |
| 326 | #4064 | — | 10 | 4 | no | — |
| 327 | D5×Q16 | — | 10 | 4 | no | — |
| 328 | #4061 | — | 10 | 4 | no | — |
| 329 | D5×SD16 | — | 10 | 4 | no | — |
| 330 | #4055 | — | 5 | 4 | no | — |
| 331 | D5×M16 | — | 5 | 4 | no | — |
| 332 | #4031 | — | 20 | 2 | no | — |
| 333 | #4031 | — | 20 | 4 | no | — |
| 334 | D5×C22⋊C4 | — | 20 | 2 | no | — |
| 335 | D5×C22⋊C4 | — | 20 | 4 | no | — |
| 336 | #4021 | — | 5 | 2 | no | — |
| 337 | #4021 | — | 10 | 2 | no | — |
| 338 | C42×D5 | — | 5 | 2 | no | — |
| 339 | C42×D5 | — | 10 | 2 | no | — |
| 340 | #4009 | — | 5 | 4 | no | — |
| 341 | #4009 | — | 5 | 4 | no | — |
| 342 | #4009 | — | 10 | 4 | no | — |
| 343 | #4009 | — | 10 | 4 | no | — |
| 344 | #4009 | — | 10 | 4 | no | — |
| 345 | #4009 | — | 20 | 4 | no | — |
| 346 | #4009 | — | 20 | 4 | no | — |
| 347 | #4007 | — | 5 | 4 | no | — |
| 348 | #4007 | — | 5 | 4 | no | — |
| 349 | #4007 | — | 10 | 4 | no | — |
| 350 | #4007 | — | 10 | 4 | no | — |
| 351 | #4007 | — | 10 | 4 | no | — |
| 352 | #4007 | — | 10 | 4 | no | — |
| 353 | #4007 | — | 10 | 4 | no | — |
| 354 | #4007 | — | 20 | 4 | no | — |
| 355 | #4007 | — | 20 | 4 | no | — |
| 356 | #4005 | — | 20 | 2 | no | — |
| 357 | #4002 | — | 20 | 2 | no | — |
| 358 | #4002 | — | 20 | 4 | no | — |
| 359 | #3994 | — | 10 | 4 | no | — |
| 360 | #3993 | — | 10 | 4 | no | — |
| 361 | #3992 | — | 10 | 4 | no | — |
| 362 | C8×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 363 | C5×#104 | — | 5 | 4 | no | — |
| 364 | C5×#100 | — | 5 | 2 | no | — |
| 365 | #3969 | — | 5 | 4 | no | — |
| 366 | #3965 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 367 | #3957 | — | 5 | 4 | no | — |
| 368 | #3955 | — | 5 | 4 | no | — |
| 369 | #3937 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 370 | C2×#455 | — | 25 | 1 | no | — |
| 371 | #2947 | — | 25 | 2 | no | — |
| 372 | #2897 | — | 25 | 2 | no | — |
| 373 | #1959 | — | 25 | 1 | no | — |
| 374 | #1931 | — | 25 | 2 | no | — |
| 375 | #1908 | — | 25 | 2 | no | — |
| 376 | #1888 | — | 25 | 1 | no | — |
| 377 | #1859 | — | 25 | 2 | no | — |
| 378 | #1765 | — | 25 | 2 | no | — |
| 379 | C22×C52 | — | 4 | 1 | no | — |
| 380 | C22×C52 | — | 8 | 1 | no | — |
| 381 | C22×C52 | #518 | 1 | 1 | yes | characteristic |
| 382 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 383 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 384 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 385 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 386 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 387 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 388 | C2×C5⋊D5 | — | 16 | 1 | no | — |
| 389 | C2×C5⋊D5 | D42 | 1 | 1 | yes | characteristic |
| 390 | C2×C5⋊D5 | #551 | 1 | 1 | yes | characteristic |
| 391 | C2×C5×D5 | — | 2 | 4 | no | — |
| 392 | C2×C5×D5 | — | 16 | 2 | no | — |
| 393 | D52 | — | 4 | 2 | no | — |
| 394 | D52 | — | 4 | 2 | no | — |
| 395 | D52 | — | 16 | 2 | no | — |
| 396 | #1044 | — | 4 | 2 | no | — |
| 397 | #1044 | — | 4 | 2 | no | — |
| 398 | #1043 | — | 8 | 2 | no | — |
| 399 | C4×C52 | — | 4 | 1 | no | — |
| 400 | C4×C52 | — | 4 | 1 | no | — |
| 401 | C4×C52 | C2×C4×D4 | 1 | 2 | yes | — |
| 402 | #1039 | — | 4 | 1 | no | — |
| 403 | #1039 | — | 4 | 1 | no | — |
| 404 | #1039 | #546 | 1 | 2 | yes | — |
| 405 | C5×Dic5 | — | 2 | 4 | no | — |
| 406 | C23×D5 | — | 10 | 2 | no | — |
| 407 | C23×D5 | — | 20 | 2 | no | — |
| 408 | C23×D5 | — | 20 | 2 | no | — |
| 409 | C22×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 410 | C22×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 411 | C22×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 412 | C5×#41 | — | 5 | 4 | no | — |
| 413 | C5×#41 | — | 10 | 4 | no | — |
| 414 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 415 | C2×C5×Q8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 416 | C2×C5×D4 | — | 2 | 2 | no | — |
| 417 | C2×C5×D4 | — | 10 | 4 | no | — |
| 418 | C2×C5×D4 | — | 20 | 2 | no | — |
| 419 | C2×C5×D4 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 420 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 421 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 422 | C2×C22⋊D5 | — | 20 | 2 | no | — |
| 423 | C2×C22⋊D5 | — | 20 | 2 | no | — |
| 424 | C2×C22⋊D5 | — | 20 | 4 | no | — |
| 425 | #713 | — | 5 | 4 | no | — |
| 426 | #713 | — | 10 | 4 | no | — |
| 427 | Q8×D5 | — | 5 | 4 | no | — |
| 428 | Q8×D5 | — | 10 | 4 | no | — |
| 429 | Q8×D5 | — | 10 | 4 | no | — |
| 430 | Q8×D5 | — | 20 | 4 | no | — |
| 431 | Q8×D5 | — | 20 | 4 | no | — |
| 432 | #711 | — | 2 | 4 | no | — |
| 433 | #711 | — | 5 | 4 | no | — |
| 434 | #711 | — | 10 | 4 | no | — |
| 435 | #711 | — | 20 | 4 | no | — |
| 436 | D4×D5 | — | 2 | 4 | no | — |
| 437 | D4×D5 | — | 5 | 4 | no | — |
| 438 | D4×D5 | — | 10 | 4 | no | — |
| 439 | D4×D5 | — | 10 | 4 | no | — |
| 440 | D4×D5 | — | 10 | 4 | no | — |
| 441 | D4×D5 | — | 10 | 4 | no | — |
| 442 | D4×D5 | — | 20 | 4 | no | — |
| 443 | D4×D5 | — | 20 | 4 | no | — |
| 444 | D4×D5 | — | 20 | 4 | no | — |
| 445 | D4×D5 | — | 20 | 4 | no | — |
| 446 | D4×D5 | — | 20 | 4 | no | — |
| 447 | D4×D5 | — | 20 | 4 | no | — |
| 448 | #709 | — | 10 | 4 | no | — |
| 449 | #709 | — | 10 | 4 | no | — |
| 450 | #709 | — | 20 | 4 | no | — |
| 451 | #709 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 452 | C2×D20 | — | 5 | 2 | no | — |
| 453 | C2×D20 | — | 10 | 2 | no | — |
| 454 | C2×D20 | — | 10 | 4 | no | — |
| 455 | C2×D20 | — | 20 | 2 | no | — |
| 456 | C2×C4×D5 | — | 5 | 2 | no | — |
| 457 | C2×C4×D5 | — | 10 | 2 | no | — |
| 458 | C2×C4×D5 | — | 10 | 4 | no | — |
| 459 | C2×C4×D5 | — | 10 | 2 | no | — |
| 460 | C2×C4×D5 | — | 10 | 2 | no | — |
| 461 | C2×C4×D5 | — | 10 | 4 | no | — |
| 462 | C2×C4×D5 | — | 20 | 2 | no | — |
| 463 | C2×C4×D5 | — | 20 | 2 | no | — |
| 464 | C2×Dic10 | — | 5 | 2 | no | — |
| 465 | C2×Dic10 | — | 10 | 2 | no | — |
| 466 | C2×Dic10 | — | 10 | 2 | no | — |
| 467 | C2×Dic10 | — | 20 | 2 | no | — |
| 468 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 469 | C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 470 | #704 | — | 10 | 4 | no | — |
| 471 | #704 | — | 20 | 4 | no | — |
| 472 | C2×#170 | — | 10 | 4 | no | — |
| 473 | C2×#170 | — | 20 | 4 | no | — |
| 474 | C2×#170 | — | 20 | 4 | no | — |
| 475 | C4⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 476 | C4⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 477 | C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 478 | C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 479 | C4⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 480 | C4⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 481 | C4⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 482 | C4⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 483 | C4⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 484 | C4⋊AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 485 | C4⋊AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 486 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 487 | C4×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 488 | C4×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 489 | #700 | — | 10 | 4 | no | — |
| 490 | #700 | — | 20 | 4 | no | — |
| 491 | D5⋊C8 | — | 5 | 4 | no | — |
| 492 | D5⋊C8 | — | 5 | 4 | no | — |
| 493 | D5⋊C8 | — | 10 | 4 | no | — |
| 494 | D5⋊C8 | — | 10 | 4 | no | — |
| 495 | D5⋊C8 | — | 10 | 4 | no | — |
| 496 | D5⋊C8 | — | 10 | 4 | no | — |
| 497 | D5⋊C8 | — | 20 | 4 | no | — |
| 498 | D5⋊C8 | — | 20 | 4 | no | — |
| 499 | C5×Q16 | — | 10 | 4 | no | — |
| 500 | C5×SD16 | — | 10 | 4 | no | — |
| 501 | C5×M16 | — | 5 | 4 | no | — |
| 502 | C5×C22⋊C4 | — | 4 | 2 | no | — |
| 503 | C5×C22⋊C4 | — | 4 | 4 | no | — |
| 504 | C42×C5 | — | 2 | 2 | no | — |
| 505 | C42×C5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 506 | C22⋊Dic5 | — | 20 | 2 | no | — |
| 507 | C22⋊Dic5 | — | 20 | 4 | no | — |
| 508 | #689 | — | 2 | 4 | no | — |
| 509 | #689 | — | 10 | 4 | no | — |
| 510 | #688 | — | 2 | 4 | no | — |
| 511 | #687 | — | 10 | 4 | no | — |
| 512 | #685 | — | 20 | 2 | no | — |
| 513 | #685 | — | 20 | 2 | no | — |
| 514 | #685 | — | 20 | 4 | no | — |
| 515 | #685 | — | 20 | 4 | no | — |
| 516 | C4×Dic5 | — | 5 | 2 | no | — |
| 517 | C4×Dic5 | — | 10 | 2 | no | — |
| 518 | C4×Dic5 | — | 10 | 2 | no | — |
| 519 | C4×Dic5 | — | 10 | 4 | no | — |
| 520 | #681 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 521 | Dic20 | — | 10 | 4 | no | — |
| 522 | #677 | — | 10 | 4 | no | — |
| 523 | #676 | — | 10 | 4 | no | — |
| 524 | C8×D5 | — | 10 | 4 | no | — |
| 525 | C2×H(5,𝔽2) | — | 25 | 1 | no | — |
| 526 | C2×#137 | — | 25 | 2 | no | — |
| 527 | C2×#131 | — | 25 | 2 | no | — |
| 528 | C2×#124 | — | 25 | 1 | no | — |
| 529 | #520 | — | 25 | 2 | no | — |
| 530 | #519 | — | 25 | 1 | no | — |
| 531 | #455 | — | 5 | 2 | no | — |
| 532 | #455 | — | 25 | 2 | no | — |
| 533 | #455 | — | 25 | 2 | no | — |
| 534 | #455 | — | 25 | 2 | no | — |
| 535 | #441 | — | 50 | 2 | no | — |
| 536 | #440 | — | 50 | 2 | no | — |
| 537 | C4×Q16 | — | 50 | 2 | no | — |
| 538 | C4×SD16 | — | 50 | 2 | no | — |
| 539 | #428 | — | 25 | 2 | no | — |
| 540 | C2×#104 | — | 25 | 2 | no | — |
| 541 | #418 | — | 25 | 2 | no | — |
| 542 | #418 | — | 50 | 2 | no | — |
| 543 | #417 | — | 25 | 2 | no | — |
| 544 | #417 | — | 50 | 2 | no | — |
| 545 | #416 | — | 25 | 2 | no | — |
| 546 | #416 | — | 50 | 2 | no | — |
| 547 | C2×#103 | — | 25 | 2 | no | — |
| 548 | C2×#102 | — | 25 | 2 | no | — |
| 549 | C2×#102 | — | 50 | 2 | no | — |
| 550 | C2×#101 | — | 25 | 1 | no | — |
| 551 | C2×#100 | — | 25 | 1 | no | — |
| 552 | #405 | — | 25 | 2 | no | — |
| 553 | C2×#97 | — | 25 | 1 | no | — |
| 554 | #384 | — | 25 | 1 | no | — |
| 555 | #343 | — | 25 | 2 | no | — |
| 556 | #341 | — | 25 | 2 | no | — |
| 557 | #339 | — | 25 | 2 | no | — |
| 558 | C2×C52 | — | 2 | 1 | no | — |
| 559 | C2×C52 | — | 8 | 1 | no | — |
| 560 | C2×C52 | #2358 | 1 | 1 | yes | characteristic |
| 561 | C5⋊D5 | — | 2 | 1 | no | — |
| 562 | C5⋊D5 | — | 8 | 1 | no | — |
| 563 | C5⋊D5 | #3288 | 1 | 1 | yes | characteristic |
| 564 | C5⋊D5 | #3289 | 1 | 1 | yes | characteristic |
| 565 | C5×D5 | — | 4 | 4 | no | — |
| 566 | C23×C5 | — | 2 | 2 | no | — |
| 567 | C23×C5 | — | 4 | 2 | no | — |
| 568 | C23×C5 | — | 20 | 2 | no | — |
| 569 | C22×D5 | — | 4 | 2 | no | — |
| 570 | C22×D5 | — | 5 | 2 | no | — |
| 571 | C22×D5 | — | 10 | 2 | no | — |
| 572 | C22×D5 | — | 10 | 4 | no | — |
| 573 | C22×D5 | — | 10 | 2 | no | — |
| 574 | C22×D5 | — | 20 | 2 | no | — |
| 575 | C22×D5 | — | 20 | 4 | no | — |
| 576 | C22×D5 | — | 20 | 2 | no | — |
| 577 | C22×D5 | — | 20 | 2 | no | — |
| 578 | C22×D5 | — | 40 | 2 | no | — |
| 579 | C22×D5 | — | 40 | 2 | no | — |
| 580 | C22×D5 | — | 40 | 2 | no | — |
| 581 | C22×D5 | — | 40 | 2 | no | — |
| 582 | C22×D5 | — | 40 | 4 | no | — |
| 583 | C22×D5 | — | 40 | 4 | no | — |
| 584 | C22×D5 | — | 80 | 2 | no | — |
| 585 | C22×D5 | — | 80 | 2 | no | — |
| 586 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 587 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 588 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 589 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 590 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 591 | C2×AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 592 | C2×AGL(1,𝔽5) | — | 80 | 4 | no | — |
| 593 | C5×Q8 | — | 2 | 4 | no | — |
| 594 | C5×Q8 | — | 4 | 4 | no | — |
| 595 | C5×Q8 | — | 5 | 4 | no | — |
| 596 | C5×D4 | — | 2 | 4 | no | — |
| 597 | C5×D4 | — | 4 | 4 | no | — |
| 598 | C5×D4 | — | 5 | 4 | no | — |
| 599 | C5×D4 | — | 10 | 4 | no | — |
| 600 | C5×D4 | — | 20 | 4 | no | — |
| 601 | C2×C4×C5 | — | 2 | 4 | no | — |
| 602 | C2×C4×C5 | — | 2 | 2 | no | — |
| 603 | C2×C4×C5 | — | 2 | 2 | no | — |
| 604 | C2×C4×C5 | — | 2 | 2 | no | — |
| 605 | C2×C4×C5 | — | 4 | 2 | no | — |
| 606 | C2×C4×C5 | — | 10 | 4 | no | — |
| 607 | C2×C4×C5 | — | 20 | 2 | no | — |
| 608 | C2×C4×C5 | C23×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 609 | C22⋊D5 | — | 2 | 4 | no | — |
| 610 | C22⋊D5 | — | 4 | 4 | no | — |
| 611 | C22⋊D5 | — | 10 | 4 | no | — |
| 612 | C22⋊D5 | — | 10 | 4 | no | — |
| 613 | C22⋊D5 | — | 20 | 4 | no | — |
| 614 | C22⋊D5 | — | 20 | 4 | no | — |
| 615 | C22⋊D5 | — | 40 | 4 | no | — |
| 616 | C2×Dic5 | — | 4 | 2 | no | — |
| 617 | C2×Dic5 | — | 5 | 2 | no | — |
| 618 | C2×Dic5 | — | 10 | 2 | no | — |
| 619 | C2×Dic5 | — | 10 | 4 | no | — |
| 620 | C2×Dic5 | — | 10 | 4 | no | — |
| 621 | C2×Dic5 | — | 10 | 2 | no | — |
| 622 | C2×Dic5 | — | 10 | 2 | no | — |
| 623 | C2×Dic5 | — | 20 | 2 | no | — |
| 624 | D20 | — | 10 | 4 | no | — |
| 625 | D20 | — | 10 | 4 | no | — |
| 626 | D20 | — | 20 | 4 | no | — |
| 627 | D20 | — | 20 | 4 | no | — |
| 628 | D20 | D4×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 629 | C4×D5 | — | 2 | 4 | no | — |
| 630 | C4×D5 | — | 5 | 4 | no | — |
| 631 | C4×D5 | — | 5 | 4 | no | — |
| 632 | C4×D5 | — | 10 | 4 | no | — |
| 633 | C4×D5 | — | 10 | 4 | no | — |
| 634 | C4×D5 | — | 10 | 4 | no | — |
| 635 | C4×D5 | — | 10 | 4 | no | — |
| 636 | C4×D5 | — | 20 | 4 | no | — |
| 637 | C4×D5 | — | 20 | 2 | no | — |
| 638 | C4×D5 | — | 20 | 2 | no | — |
| 639 | C4×D5 | — | 20 | 2 | no | — |
| 640 | C4×D5 | — | 20 | 4 | no | — |
| 641 | C4×D5 | — | 20 | 2 | no | — |
| 642 | C4×D5 | — | 20 | 4 | no | — |
| 643 | C4×D5 | — | 40 | 2 | no | — |
| 644 | C4×D5 | — | 40 | 2 | no | — |
| 645 | Dic10 | — | 10 | 4 | no | — |
| 646 | Dic10 | — | 10 | 4 | no | — |
| 647 | Dic10 | — | 20 | 4 | no | — |
| 648 | Dic10 | — | 20 | 4 | no | — |
| 649 | Dic10 | — | 40 | 4 | no | — |
| 650 | Dic10 | D4×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 651 | #170 | — | 10 | 4 | no | — |
| 652 | #170 | — | 10 | 4 | no | — |
| 653 | #170 | — | 20 | 4 | no | — |
| 654 | #170 | — | 20 | 4 | no | — |
| 655 | #170 | — | 20 | 4 | no | — |
| 656 | C5×C8 | — | 10 | 4 | no | — |
| 657 | #168 | — | 2 | 4 | no | — |
| 658 | H(5,𝔽2) | — | 5 | 2 | no | — |
| 659 | H(5,𝔽2) | — | 25 | 2 | no | — |
| 660 | H(5,𝔽2) | — | 50 | 4 | no | — |
| 661 | H(5,𝔽2) | — | 100 | 1 | no | — |
| 662 | C2×#41 | — | 25 | 2 | no | — |
| 663 | C2×#41 | — | 50 | 2 | no | — |
| 664 | C22×Q8 | — | 25 | 1 | no | — |
| 665 | C22×D4 | — | 25 | 1 | no | — |
| 666 | C22×D4 | — | 50 | 2 | no | — |
| 667 | C22×D4 | — | 100 | 1 | no | — |
| 668 | #137 | — | 5 | 4 | no | — |
| 669 | #137 | — | 25 | 4 | no | — |
| 670 | #137 | — | 50 | 4 | no | — |
| 671 | C2×Q16 | — | 50 | 2 | no | — |
| 672 | C2×SD16 | — | 50 | 2 | no | — |
| 673 | #131 | — | 50 | 4 | no | — |
| 674 | #131 | — | 100 | 2 | no | — |
| 675 | C2×M16 | — | 25 | 2 | no | — |
| 676 | C2×M16 | — | 25 | 2 | no | — |
| 677 | C2×M16 | — | 50 | 2 | no | — |
| 678 | C22×C8 | — | 25 | 2 | no | — |
| 679 | C22×C8 | — | 50 | 2 | no | — |
| 680 | #124 | — | 25 | 1 | no | — |
| 681 | #124 | — | 25 | 1 | no | — |
| 682 | #124 | — | 25 | 1 | no | — |
| 683 | #124 | — | 100 | 1 | no | — |
| 684 | #124 | D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 685 | C4×Q8 | — | 50 | 2 | no | — |
| 686 | C4×Q8 | — | 50 | 2 | no | — |
| 687 | C4×Q8 | — | 50 | 2 | no | — |
| 688 | C4×D4 | — | 50 | 2 | no | — |
| 689 | C4×D4 | — | 100 | 2 | no | — |
| 690 | #117 | — | 25 | 2 | no | — |
| 691 | #117 | — | 50 | 2 | no | — |
| 692 | #117 | — | 100 | 1 | no | — |
| 693 | C2×C4⋊C4 | — | 25 | 2 | no | — |
| 694 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 695 | C2×C4⋊C4 | — | 100 | 1 | no | — |
| 696 | C2×C22⋊C4 | — | 100 | 1 | no | — |
| 697 | C2×C42 | — | 25 | 1 | no | — |
| 698 | #107 | — | 50 | 2 | no | — |
| 699 | #106 | — | 50 | 2 | no | — |
| 700 | #104 | — | 5 | 4 | no | — |
| 701 | #104 | — | 25 | 4 | no | — |
| 702 | #103 | — | 25 | 2 | no | — |
| 703 | #103 | — | 25 | 2 | no | — |
| 704 | #103 | — | 50 | 2 | no | — |
| 705 | #103 | — | 50 | 2 | no | — |
| 706 | #103 | — | 50 | 2 | no | — |
| 707 | #102 | — | 25 | 2 | no | — |
| 708 | #102 | — | 25 | 2 | no | — |
| 709 | #102 | — | 50 | 2 | no | — |
| 710 | #102 | — | 50 | 2 | no | — |
| 711 | #102 | — | 50 | 2 | no | — |
| 712 | #102 | — | 50 | 2 | no | — |
| 713 | #102 | — | 50 | 2 | no | — |
| 714 | #101 | — | 100 | 1 | no | — |
| 715 | #100 | — | 5 | 2 | no | — |
| 716 | #100 | — | 25 | 2 | no | — |
| 717 | #97 | — | 50 | 2 | no | — |
| 718 | #97 | — | 100 | 1 | no | — |
| 719 | C4×C8 | — | 50 | 2 | no | — |
| 720 | C52 | #22890 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 721 | C22×C5 | — | 2 | 2 | no | — |
| 722 | C22×C5 | — | 4 | 2 | no | — |
| 723 | C22×C5 | — | 8 | 2 | no | — |
| 724 | C22×C5 | — | 8 | 2 | no | — |
| 725 | C22×C5 | — | 8 | 4 | no | — |
| 726 | C22×C5 | — | 10 | 4 | no | — |
| 727 | C22×C5 | — | 80 | 2 | no | — |
| 728 | C22×C5 | #66258 | 1 | 2 | yes | — |
| 729 | C2×D5 | — | 2 | 4 | no | — |
| 730 | C2×D5 | — | 5 | 2 | no | — |
| 731 | C2×D5 | — | 5 | 2 | no | — |
| 732 | C2×D5 | — | 10 | 2 | no | — |
| 733 | C2×D5 | — | 10 | 2 | no | — |
| 734 | C2×D5 | — | 10 | 2 | no | — |
| 735 | C2×D5 | — | 10 | 2 | no | — |
| 736 | C2×D5 | — | 10 | 4 | no | — |
| 737 | C2×D5 | — | 10 | 4 | no | — |
| 738 | C2×D5 | — | 16 | 2 | no | — |
| 739 | C2×D5 | — | 20 | 4 | no | — |
| 740 | C2×D5 | — | 20 | 4 | no | — |
| 741 | C2×D5 | — | 20 | 2 | no | — |
| 742 | C2×D5 | — | 40 | 2 | no | — |
| 743 | C2×D5 | — | 40 | 2 | no | — |
| 744 | C2×D5 | — | 40 | 2 | no | — |
| 745 | C2×D5 | — | 40 | 2 | no | — |
| 746 | C2×D5 | — | 40 | 4 | no | — |
| 747 | C2×D5 | — | 80 | 4 | no | — |
| 748 | C2×D5 | — | 80 | 2 | no | — |
| 749 | C2×D5 | — | 80 | 4 | no | — |
| 750 | C2×D5 | — | 80 | 2 | no | — |
| 751 | C2×D5 | — | 80 | 2 | no | — |
| 752 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 753 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 754 | AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 755 | AGL(1,𝔽5) | — | 80 | 4 | no | — |
| 756 | C4×C5 | — | 2 | 4 | no | — |
| 757 | C4×C5 | — | 4 | 4 | no | — |
| 758 | C4×C5 | — | 4 | 2 | no | — |
| 759 | C4×C5 | — | 4 | 2 | no | — |
| 760 | C4×C5 | — | 8 | 2 | no | — |
| 761 | C4×C5 | — | 10 | 4 | no | — |
| 762 | C4×C5 | C2×D4×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 763 | Dic5 | — | 2 | 4 | no | — |
| 764 | Dic5 | — | 5 | 4 | no | — |
| 765 | Dic5 | — | 10 | 4 | no | — |
| 766 | Dic5 | — | 20 | 4 | no | — |
| 767 | Dic5 | — | 20 | 2 | no | — |
| 768 | Dic5 | — | 20 | 2 | no | — |
| 769 | Dic5 | — | 40 | 2 | no | — |
| 770 | C24 | — | 50 | 1 | no | — |
| 771 | C24 | — | 100 | 1 | no | — |
| 772 | #41 | — | 5 | 4 | no | — |
| 773 | #41 | — | 10 | 4 | no | — |
| 774 | #41 | — | 25 | 4 | no | — |
| 775 | #41 | — | 50 | 2 | no | — |
| 776 | #41 | — | 50 | 4 | no | — |
| 777 | #41 | — | 50 | 2 | no | — |
| 778 | #41 | — | 100 | 4 | no | — |
| 779 | C2×Q8 | — | 25 | 2 | no | — |
| 780 | C2×Q8 | — | 25 | 1 | no | — |
| 781 | C2×Q8 | — | 50 | 1 | no | — |
| 782 | C2×Q8 | — | 50 | 2 | no | — |
| 783 | C2×Q8 | — | 50 | 2 | no | — |
| 784 | C2×Q8 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 785 | C2×D4 | — | 10 | 4 | no | — |
| 786 | C2×D4 | — | 20 | 2 | no | — |
| 787 | C2×D4 | — | 25 | 2 | no | — |
| 788 | C2×D4 | — | 25 | 1 | no | — |
| 789 | C2×D4 | — | 50 | 4 | no | — |
| 790 | C2×D4 | — | 50 | 2 | no | — |
| 791 | C2×D4 | — | 50 | 2 | no | — |
| 792 | C2×D4 | — | 50 | 1 | no | — |
| 793 | C2×D4 | — | 50 | 2 | no | — |
| 794 | C2×D4 | — | 100 | 2 | no | — |
| 795 | C2×D4 | — | 100 | 2 | no | — |
| 796 | C2×D4 | — | 100 | 4 | no | — |
| 797 | C2×D4 | — | 100 | 2 | no | — |
| 798 | C2×D4 | — | 100 | 2 | no | — |
| 799 | C2×D4 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 800 | C22×C4 | — | 25 | 1 | no | — |
| 801 | C22×C4 | — | 50 | 1 | no | — |
| 802 | C22×C4 | — | 50 | 1 | no | — |
| 803 | C22×C4 | — | 50 | 2 | no | — |
| 804 | C22×C4 | — | 50 | 2 | no | — |
| 805 | C22×C4 | — | 100 | 1 | no | — |
| 806 | C22×C4 | — | 100 | 2 | no | — |
| 807 | Q16 | — | 10 | 4 | no | — |
| 808 | Q16 | — | 50 | 4 | no | — |
| 809 | SD16 | — | 10 | 4 | no | — |
| 810 | SD16 | — | 50 | 4 | no | — |
| 811 | M16 | — | 5 | 4 | no | — |
| 812 | M16 | — | 50 | 2 | no | — |
| 813 | M16 | — | 50 | 2 | no | — |
| 814 | M16 | — | 50 | 2 | no | — |
| 815 | M16 | — | 100 | 4 | no | — |
| 816 | C2×C8 | — | 25 | 2 | no | — |
| 817 | C2×C8 | — | 25 | 2 | no | — |
| 818 | C2×C8 | — | 50 | 2 | no | — |
| 819 | C2×C8 | — | 50 | 2 | no | — |
| 820 | C2×C8 | — | 50 | 2 | no | — |
| 821 | C2×C8 | — | 50 | 2 | no | — |
| 822 | C2×C8 | — | 100 | 4 | no | — |
| 823 | C4⋊C4 | — | 25 | 2 | no | — |
| 824 | C4⋊C4 | — | 25 | 2 | no | — |
| 825 | C4⋊C4 | — | 50 | 2 | no | — |
| 826 | C4⋊C4 | — | 50 | 2 | no | — |
| 827 | C4⋊C4 | — | 100 | 2 | no | — |
| 828 | C4⋊C4 | — | 100 | 1 | no | — |
| 829 | C4⋊C4 | — | 100 | 1 | no | — |
| 830 | C4⋊C4 | — | 200 | 2 | no | — |
| 831 | C22⋊C4 | — | 4 | 1 | no | — |
| 832 | C22⋊C4 | — | 50 | 2 | no | — |
| 833 | C22⋊C4 | — | 100 | 1 | no | — |
| 834 | C22⋊C4 | — | 100 | 1 | no | — |
| 835 | C22⋊C4 | — | 100 | 1 | no | — |
| 836 | C22⋊C4 | — | 100 | 2 | no | — |
| 837 | C42 | — | 25 | 1 | no | — |
| 838 | C42 | — | 50 | 1 | no | — |
| 839 | C42 | — | 50 | 2 | no | — |
| 840 | C42 | — | 100 | 2 | no | — |
| 841 | C42 | — | 100 | 2 | no | — |
| 842 | C42 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 843 | C2×C5 | — | 2 | 4 | no | — |
| 844 | C2×C5 | — | 2 | 2 | no | — |
| 845 | C2×C5 | — | 2 | 2 | no | — |
| 846 | C2×C5 | — | 8 | 2 | no | — |
| 847 | C2×C5 | — | 16 | 2 | no | — |
| 848 | C2×C5 | — | 20 | 4 | no | — |
| 849 | C2×C5 | #10617223 | 1 | 2 | yes | — |
| 850 | D5 | — | 4 | 4 | no | — |
| 851 | D5 | — | 5 | 2 | no | — |
| 852 | D5 | — | 5 | 2 | no | — |
| 853 | D5 | — | 10 | 2 | no | — |
| 854 | D5 | — | 10 | 2 | no | — |
| 855 | D5 | — | 10 | 4 | no | — |
| 856 | D5 | — | 10 | 2 | no | — |
| 857 | D5 | — | 40 | 2 | no | — |
| 858 | D5 | — | 80 | 2 | no | — |
| 859 | C23 | — | 2 | 1 | no | — |
| 860 | C23 | — | 20 | 2 | no | — |
| 861 | C23 | — | 25 | 1 | no | — |
| 862 | C23 | — | 50 | 2 | no | — |
| 863 | C23 | — | 50 | 1 | no | — |
| 864 | C23 | — | 100 | 1 | no | — |
| 865 | C23 | — | 100 | 1 | no | — |
| 866 | C23 | — | 100 | 2 | no | — |
| 867 | C23 | — | 400 | 1 | no | — |
| 868 | C23 | — | 400 | 1 | no | — |
| 869 | C23 | — | 200 | 1 | no | — |
| 870 | C23 | — | 200 | 1 | no | — |
| 871 | Q8 | — | 2 | 2 | no | — |
| 872 | Q8 | — | 5 | 4 | no | — |
| 873 | Q8 | — | 50 | 2 | no | — |
| 874 | Q8 | — | 50 | 2 | no | — |
| 875 | Q8 | — | 100 | 2 | no | — |
| 876 | D4 | — | 2 | 2 | no | — |
| 877 | D4 | — | 5 | 4 | no | — |
| 878 | D4 | — | 10 | 4 | no | — |
| 879 | D4 | — | 20 | 4 | no | — |
| 880 | D4 | — | 50 | 4 | no | — |
| 881 | D4 | — | 50 | 2 | no | — |
| 882 | D4 | — | 50 | 2 | no | — |
| 883 | D4 | — | 100 | 4 | no | — |
| 884 | D4 | — | 100 | 2 | no | — |
| 885 | C2×C4 | — | 2 | 1 | no | — |
| 886 | C2×C4 | — | 2 | 1 | no | — |
| 887 | C2×C4 | — | 10 | 4 | no | — |
| 888 | C2×C4 | — | 20 | 2 | no | — |
| 889 | C2×C4 | — | 25 | 1 | no | — |
| 890 | C2×C4 | — | 25 | 2 | no | — |
| 891 | C2×C4 | — | 25 | 2 | no | — |
| 892 | C2×C4 | — | 50 | 2 | no | — |
| 893 | C2×C4 | — | 50 | 4 | no | — |
| 894 | C2×C4 | — | 50 | 2 | no | — |
| 895 | C2×C4 | — | 50 | 2 | no | — |
| 896 | C2×C4 | — | 50 | 1 | no | — |
| 897 | C2×C4 | — | 50 | 1 | no | — |
| 898 | C2×C4 | — | 100 | 1 | no | — |
| 899 | C2×C4 | — | 100 | 1 | no | — |
| 900 | C2×C4 | — | 100 | 1 | no | — |
| 901 | C2×C4 | — | 100 | 1 | no | — |
| 902 | C2×C4 | — | 100 | 2 | no | — |
| 903 | C2×C4 | — | 100 | 2 | no | — |
| 904 | C2×C4 | — | 400 | 2 | no | — |
| 905 | C2×C4 | — | 200 | 2 | no | — |
| 906 | C2×C4 | C22×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 907 | C8 | — | 10 | 4 | no | — |
| 908 | C8 | — | 50 | 2 | no | — |
| 909 | C8 | — | 50 | 2 | no | — |
| 910 | C8 | — | 100 | 2 | no | — |
| 911 | C5 | — | 2 | 2 | no | — |
| 912 | C5 | #13041080 | 1 | 2 | yes | complemented |
| 913 | C22 | — | 4 | 1 | no | — |
| 914 | C22 | — | 8 | 1 | no | — |
| 915 | C22 | — | 10 | 4 | no | — |
| 916 | C22 | — | 25 | 1 | no | — |
| 917 | C22 | — | 25 | 1 | no | — |
| 918 | C22 | — | 50 | 1 | no | — |
| 919 | C22 | — | 50 | 1 | no | — |
| 920 | C22 | — | 80 | 2 | no | — |
| 921 | C22 | — | 100 | 2 | no | — |
| 922 | C22 | — | 100 | 2 | no | — |
| 923 | C22 | — | 100 | 1 | no | — |
| 924 | C22 | — | 400 | 1 | no | — |
| 925 | C22 | — | 400 | 2 | no | — |
| 926 | C22 | — | 200 | 1 | no | — |
| 927 | C22 | — | 200 | 1 | no | — |
| 928 | C22 | — | 200 | 1 | no | — |
| 929 | C22 | #13107590 | 1 | 1 | yes | characteristic |
| 930 | C4 | — | 4 | 1 | no | — |
| 931 | C4 | — | 4 | 1 | no | — |
| 932 | C4 | — | 10 | 4 | no | — |
| 933 | C4 | — | 25 | 2 | no | — |
| 934 | C4 | — | 100 | 1 | no | — |
| 935 | C4 | — | 100 | 2 | no | — |
| 936 | C4 | — | 100 | 2 | no | — |
| 937 | C4 | — | 100 | 1 | no | — |
| 938 | C4 | — | 200 | 2 | no | — |
| 939 | C4 | D4×D5⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 940 | C2 | — | 2 | 1 | no | — |
| 941 | C2 | — | 8 | 1 | no | — |
| 942 | C2 | — | 20 | 4 | no | — |
| 943 | C2 | — | 25 | 1 | no | — |
| 944 | C2 | — | 25 | 1 | no | — |
| 945 | C2 | — | 50 | 1 | no | — |
| 946 | C2 | — | 200 | 1 | no | — |
| 947 | C2 | #72223104 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72221067 | C2 | semidirect |
| 2. #72221062 | C2 | semidirect |
| 3. #72221018 | C2 | semidirect |
| 5. #72220974 | C2 | semidirect |
| 6. #72220959 | C2 | semidirect |
| 8. #72220803 | C2 | semidirect |
| 9. #72213383 | C2 | semidirect |
| 11. #13107771 | C22 | semidirect |
| 16. #13104927 | C22 | semidirect |
| 18. C2×#11716877 | C22 | semidirect |
| 20. #13104700 | C22 | semidirect |
| 21. #13104688 | C22 | semidirect |
| 30. #13103962 | C22 | semidirect |
| 33. #13103902 | C22 | semidirect |
| 34. C5×#65350 | C4 | semidirect |
| 35. #13101839 | C4 | semidirect |
| 36. #13101703 | C4 | semidirect |
| 38. #13100578 | C4 | semidirect |
| 40. #13100332 | C22 | semidirect |
| 41. #13099912 | C22 | semidirect |
| 42. #13099910 | C22 | semidirect |
| 71. C52×#124 | C2×C4 | semidirect |
| 72. #11717267 | C2×C4 | semidirect |
| 73. #11717256 | C2×C4 | semidirect |
| 76. #11717195 | C2×C4 | semidirect |
| 78. C5×#4088 | C2×C4 | semidirect |
| 82. #11716949 | C2×C4 | semidirect |
| 102. C5×#3965 | C2×C4 | semidirect |
| 103. C5×#3937 | C2×C4 | semidirect |
| 104. #11716609 | C2×C4 | semidirect |
| 105. #11716600 | C2×C4 | semidirect |
| 221. #65350 | AGL(1,𝔽5) | semidirect |
| 319. C5×#124 | C2×AGL(1,𝔽5) | semidirect |
| 323. #4088 | C2×AGL(1,𝔽5) | semidirect |
| 366. #3965 | C2×AGL(1,𝔽5) | semidirect |
| 369. #3937 | C2×AGL(1,𝔽5) | semidirect |
| 684. #124 | D5⋊AGL(1,𝔽5) | semidirect |
| 720. C52 | #22890 | semidirect |
| 912. C5 | #13041080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72221067 | 2 |
| #72221062 | 2 |
| #72221018 | 2 |
| #72221016 | 2 |
| #72220974 | 2 |
| #72220959 | 2 |
| #72220921 | 2 |
| #72220803 | 2 |
| #72213383 | 2 |
| #13041080 | 5 |