← #72223533
Subgroups — #72223533
Order 6400.
2572 conjugacy classes of subgroups.
The subgroup lattice has 983 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C4×#11716936 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #72221311 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #72221267 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #72221265 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | C2×#13100240 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #72221066 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #72221045 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#13100332 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #72220960 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | C2×#11717451 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#11717448 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#11717438 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#11717435 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C42×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#11716936 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#11716936 | C22 | 1 | 1 | yes | characteristic |
| 17 | #13103967 | C4 | 1 | 4 | yes | complemented |
| 18 | #13103966 | C4 | 1 | 4 | yes | complemented |
| 19 | #13103965 | C22 | 1 | 4 | yes | — |
| 20 | #13103963 | C4 | 1 | 4 | yes | complemented |
| 21 | #13103962 | C4 | 1 | 4 | yes | complemented |
| 22 | #13103961 | C22 | 1 | 4 | yes | — |
| 23 | #13103909 | C22 | 1 | 4 | yes | — |
| 24 | #13103906 | — | 2 | 2 | no | — |
| 25 | #13103905 | — | 2 | 2 | no | — |
| 26 | #13103904 | — | 2 | 2 | no | — |
| 27 | #13103903 | C22 | 1 | 4 | yes | — |
| 28 | #13103902 | — | 2 | 2 | no | — |
| 29 | C4×C5×#681 | C4 | 1 | 2 | yes | complemented |
| 30 | #13101252 | C4 | 1 | 2 | yes | complemented |
| 31 | #13100515 | C4 | 1 | 2 | yes | complemented |
| 32 | C4×#87769 | C4 | 1 | 2 | yes | complemented |
| 33 | #13100501 | C22 | 1 | 2 | yes | — |
| 34 | C4×#87767 | C22 | 1 | 2 | yes | — |
| 35 | #13100332 | C22 | 1 | 2 | yes | — |
| 36 | #13100332 | C22 | 1 | 2 | yes | — |
| 37 | #13100240 | C22 | 1 | 2 | yes | — |
| 38 | #13100240 | C22 | 1 | 2 | yes | — |
| 39 | #13033560 | — | 5 | 2 | no | maximal |
| 40 | C22×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 41 | C22×C4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 42 | C2×C22⋊#1044 | — | 2 | 1 | no | — |
| 43 | C2×#87867 | — | 2 | 1 | no | — |
| 44 | #11717451 | — | 2 | 1 | no | — |
| 45 | #11717451 | — | 2 | 1 | no | — |
| 46 | #11717451 | C2×C4 | 1 | 2 | yes | — |
| 47 | #11717451 | C23 | 1 | 2 | yes | — |
| 48 | C2×C4⋊#1044 | C2×C4 | 1 | 2 | yes | — |
| 49 | C2×C4×#1044 | — | 2 | 1 | no | — |
| 50 | #11717448 | — | 2 | 1 | no | — |
| 51 | #11717448 | — | 2 | 1 | no | — |
| 52 | #11717448 | C2×C4 | 1 | 2 | yes | — |
| 53 | #11717448 | C23 | 1 | 2 | yes | — |
| 54 | C2×#87863 | C2×C4 | 1 | 2 | yes | — |
| 55 | C2×#87862 | — | 2 | 1 | no | — |
| 56 | C2×C22⋊#1043 | — | 2 | 1 | no | — |
| 57 | C2×#87860 | — | 2 | 1 | no | — |
| 58 | #11717438 | — | 2 | 1 | no | — |
| 59 | #11717438 | — | 2 | 1 | no | — |
| 60 | #11717438 | C2×C4 | 1 | 2 | yes | — |
| 61 | #11717438 | C23 | 1 | 2 | yes | — |
| 62 | C2×C4⋊#1043 | C2×C4 | 1 | 2 | yes | — |
| 63 | C2×C4×#1043 | — | 2 | 1 | no | — |
| 64 | #11717435 | — | 2 | 1 | no | — |
| 65 | #11717435 | — | 2 | 1 | no | — |
| 66 | #11717435 | C2×C4 | 1 | 2 | yes | — |
| 67 | #11717435 | C23 | 1 | 2 | yes | — |
| 68 | C2×#87856 | C2×C4 | 1 | 2 | yes | — |
| 69 | C2×#87855 | — | 2 | 1 | no | — |
| 70 | C2×C42×C52 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | C2×C4×#1039 | — | 2 | 1 | no | — |
| 72 | C2×C4×#1039 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | C42×C5⋊D5 | — | 2 | 1 | no | — |
| 74 | C42×C5⋊D5 | — | 2 | 1 | no | — |
| 75 | C42×C5⋊D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | C42×C5⋊D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | C42×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 78 | C42×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×C5×#681 | C2×C4 | 1 | 2 | yes | — |
| 80 | C2×C5×#681 | C2×C4 | 1 | 2 | yes | — |
| 81 | C2×#87769 | C2×C4 | 1 | 2 | yes | — |
| 82 | C2×#87769 | C2×C4 | 1 | 2 | yes | — |
| 83 | #11716936 | C2×C4 | 1 | 2 | yes | — |
| 84 | #11716936 | C2×C4 | 1 | 2 | yes | — |
| 85 | #11716936 | C2×C4 | 1 | 2 | yes | — |
| 86 | #11716936 | C2×C4 | 1 | 2 | yes | — |
| 87 | #11716936 | D4 | 1 | 2 | yes | — |
| 88 | #11716936 | D4 | 1 | 2 | yes | — |
| 89 | #11716936 | Q8 | 1 | 2 | yes | — |
| 90 | #11716936 | Q8 | 1 | 2 | yes | — |
| 91 | C2×#87767 | C23 | 1 | 2 | yes | — |
| 92 | C2×#87767 | C23 | 1 | 2 | yes | — |
| 93 | #11716773 | C2×C4 | 1 | 16 | yes | complemented |
| 94 | #11716772 | C2×C4 | 1 | 8 | yes | complemented |
| 95 | #11716771 | C2×C4 | 1 | 8 | yes | complemented |
| 96 | #11716764 | — | 2 | 4 | no | — |
| 97 | #11716763 | — | 2 | 4 | no | — |
| 98 | #11716762 | — | 2 | 4 | no | — |
| 99 | #11716761 | — | 2 | 4 | no | — |
| 100 | C5×#3935 | C2×C4 | 1 | 4 | yes | complemented |
| 101 | C4×C5×#168 | C2×C4 | 1 | 4 | yes | complemented |
| 102 | #11716596 | C2×C4 | 1 | 4 | yes | complemented |
| 103 | #11716594 | C2×C4 | 1 | 4 | yes | complemented |
| 104 | D5⋊#430 | — | 5 | 2 | no | — |
| 105 | #10617409 | — | 5 | 2 | no | — |
| 106 | #10617407 | — | 5 | 2 | no | — |
| 107 | #10617407 | — | 5 | 2 | no | — |
| 108 | C4×D5×M16 | — | 5 | 2 | no | — |
| 109 | C2×#64862 | — | 5 | 2 | no | — |
| 110 | C2×#64862 | — | 5 | 2 | no | — |
| 111 | C2×#64862 | — | 10 | 2 | no | — |
| 112 | #10603885 | — | 5 | 8 | no | — |
| 113 | #10603851 | — | 5 | 8 | no | — |
| 114 | C23×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 115 | C22×#1044 | — | 2 | 2 | no | — |
| 116 | C22×#1043 | — | 2 | 2 | no | — |
| 117 | C22×C4×C52 | — | 2 | 1 | no | — |
| 118 | C22×C4×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 119 | C22×#1039 | — | 2 | 1 | no | — |
| 120 | C22×#1039 | #41 | 1 | 1 | yes | characteristic |
| 121 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 122 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 123 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 124 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 125 | C2×C4×C5⋊D5 | — | 4 | 4 | no | — |
| 126 | C2×C4×C5⋊D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 127 | C2×C4×C5⋊D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | C2×C4×C5⋊D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 129 | C2×C4×C5⋊D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 130 | C2×C4×C5⋊D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 131 | C2×C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 133 | C2×C4×C5⋊D5 | C2×Q8 | 1 | 1 | yes | characteristic |
| 134 | C2×C4×C5⋊D5 | C2×Q8 | 1 | 1 | yes | characteristic |
| 135 | C2×C4×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 136 | C2×C4×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 137 | C2×C4×C5⋊D5 | C24 | 1 | 1 | yes | characteristic |
| 138 | C22⋊#1044 | — | 2 | 2 | no | — |
| 139 | C22⋊#1044 | — | 2 | 2 | no | — |
| 140 | #87867 | — | 2 | 2 | no | — |
| 141 | #87867 | — | 2 | 2 | no | — |
| 142 | C2×#6034 | — | 2 | 2 | no | — |
| 143 | C4⋊#1044 | — | 2 | 2 | no | — |
| 144 | C4⋊#1044 | C22×C4 | 1 | 4 | yes | — |
| 145 | C4×#1044 | — | 2 | 2 | no | — |
| 146 | C4×#1044 | — | 2 | 2 | no | — |
| 147 | #87863 | — | 2 | 2 | no | — |
| 148 | #87863 | C22×C4 | 1 | 4 | yes | — |
| 149 | #87862 | — | 2 | 2 | no | — |
| 150 | #87862 | — | 2 | 2 | no | — |
| 151 | C22⋊#1043 | — | 2 | 2 | no | — |
| 152 | C22⋊#1043 | — | 2 | 2 | no | — |
| 153 | #87860 | — | 2 | 2 | no | — |
| 154 | #87860 | — | 2 | 2 | no | — |
| 155 | C2×#6033 | — | 2 | 2 | no | — |
| 156 | C4⋊#1043 | — | 2 | 2 | no | — |
| 157 | C4⋊#1043 | C22×C4 | 1 | 4 | yes | — |
| 158 | C4×#1043 | — | 2 | 2 | no | — |
| 159 | C4×#1043 | — | 2 | 2 | no | — |
| 160 | #87856 | — | 2 | 2 | no | — |
| 161 | #87856 | C22×C4 | 1 | 4 | yes | — |
| 162 | #87855 | — | 2 | 2 | no | — |
| 163 | #87855 | — | 2 | 2 | no | — |
| 164 | C42×C52 | — | 2 | 1 | no | — |
| 165 | C42×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 166 | C42×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 167 | C4×#1039 | — | 2 | 1 | no | — |
| 168 | C4×#1039 | — | 2 | 1 | no | — |
| 169 | C4×#1039 | — | 2 | 1 | no | — |
| 170 | C4×#1039 | — | 2 | 1 | no | — |
| 171 | C4×#1039 | — | 2 | 1 | no | — |
| 172 | C4×#1039 | C22×C4 | 1 | 1 | yes | characteristic |
| 173 | C4×#1039 | C22×C4 | 1 | 1 | yes | characteristic |
| 174 | C5×#681 | C42 | 1 | 4 | yes | — |
| 175 | C5×#681 | C42 | 1 | 4 | yes | — |
| 176 | C5×#681 | C4⋊C4 | 1 | 4 | yes | — |
| 177 | C5×#681 | C4⋊C4 | 1 | 4 | yes | — |
| 178 | C2×C5×#168 | C22×C4 | 1 | 4 | yes | — |
| 179 | C2×C5×#168 | C22×C4 | 1 | 4 | yes | — |
| 180 | #87769 | C42 | 1 | 4 | yes | — |
| 181 | #87769 | C42 | 1 | 4 | yes | — |
| 182 | #87769 | C4⋊C4 | 1 | 4 | yes | — |
| 183 | #87769 | C4⋊C4 | 1 | 4 | yes | — |
| 184 | #87767 | C22×C4 | 1 | 4 | yes | — |
| 185 | #87767 | C22×C4 | 1 | 4 | yes | — |
| 186 | #87767 | C2×D4 | 1 | 4 | yes | — |
| 187 | #87767 | C2×Q8 | 1 | 4 | yes | — |
| 188 | C2×#4130 | — | 5 | 2 | no | — |
| 189 | C2×#4130 | — | 5 | 2 | no | — |
| 190 | C2×#4130 | — | 10 | 2 | no | — |
| 191 | C2×D5⋊M16 | — | 5 | 2 | no | — |
| 192 | C2×D5⋊M16 | — | 5 | 2 | no | — |
| 193 | C2×D5⋊M16 | — | 10 | 2 | no | — |
| 194 | C2×D5×M16 | — | 5 | 2 | no | — |
| 195 | C2×D5×M16 | — | 5 | 2 | no | — |
| 196 | C2×C42×D5 | — | 5 | 2 | no | — |
| 197 | C2×C42×D5 | — | 10 | 2 | no | — |
| 198 | #65729 | — | 5 | 8 | no | — |
| 199 | #65729 | — | 5 | 8 | no | — |
| 200 | #65728 | — | 10 | 4 | no | — |
| 201 | #65728 | — | 10 | 4 | no | — |
| 202 | #65727 | — | 5 | 8 | no | — |
| 203 | #65727 | — | 5 | 8 | no | — |
| 204 | M16×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 205 | M16×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 206 | D5⋊#108 | — | 5 | 8 | no | — |
| 207 | #65721 | — | 5 | 8 | no | — |
| 208 | #65718 | — | 5 | 8 | no | — |
| 209 | #65718 | — | 5 | 8 | no | — |
| 210 | C4×C5×M16 | — | 5 | 2 | no | — |
| 211 | M16×Dic5 | — | 5 | 2 | no | — |
| 212 | M16×Dic5 | — | 5 | 2 | no | — |
| 213 | C4×#681 | AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 214 | #64996 | — | 5 | 4 | no | — |
| 215 | D5×#97 | — | 5 | 4 | no | — |
| 216 | C4×#676 | — | 5 | 4 | no | — |
| 217 | C4×C8×D5 | — | 5 | 4 | no | — |
| 218 | #64862 | — | 5 | 4 | no | — |
| 219 | #64862 | — | 5 | 4 | no | — |
| 220 | #64862 | — | 5 | 4 | no | — |
| 221 | #64862 | — | 5 | 4 | no | — |
| 222 | #64862 | — | 10 | 4 | no | — |
| 223 | #64862 | — | 10 | 4 | no | — |
| 224 | #20445 | — | 25 | 1 | no | Sylow |
| 225 | C23×C52 | #117 | 1 | 1 | yes | characteristic |
| 226 | C22×C5⋊D5 | — | 4 | 2 | no | — |
| 227 | C22×C5⋊D5 | #117 | 1 | 1 | yes | characteristic |
| 228 | C22×C5⋊D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 229 | C22×C5⋊D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 230 | C22×C5⋊D5 | C4×Q8 | 1 | 1 | yes | characteristic |
| 231 | C22×C5⋊D5 | C4×Q8 | 1 | 1 | yes | characteristic |
| 232 | C22×C5⋊D5 | C2×#41 | 1 | 1 | yes | characteristic |
| 233 | C2×#1044 | — | 2 | 4 | no | — |
| 234 | C2×#1044 | — | 8 | 2 | no | — |
| 235 | C2×#1043 | — | 2 | 4 | no | — |
| 236 | C2×#1043 | — | 8 | 2 | no | — |
| 237 | C2×C4×C52 | — | 2 | 1 | no | — |
| 238 | C2×C4×C52 | — | 2 | 1 | no | — |
| 239 | C2×C4×C52 | — | 4 | 2 | no | — |
| 240 | C2×C4×C52 | C2×C42 | 1 | 1 | yes | characteristic |
| 241 | C2×C4×C52 | C2×C42 | 1 | 1 | yes | characteristic |
| 242 | C2×C4×C52 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 243 | C2×C4×C52 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 244 | C2×C4×C52 | #117 | 1 | 1 | yes | characteristic |
| 245 | C2×C4×C52 | C23×C4 | 1 | 1 | yes | characteristic |
| 246 | C2×#1039 | — | 2 | 1 | no | — |
| 247 | C2×#1039 | — | 2 | 1 | no | — |
| 248 | C2×#1039 | — | 4 | 2 | no | — |
| 249 | C2×#1039 | #117 | 1 | 1 | yes | characteristic |
| 250 | C2×#1039 | C4×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×#1039 | C4×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×#1039 | C4×Q8 | 1 | 1 | yes | characteristic |
| 253 | C2×#1039 | C4×Q8 | 1 | 1 | yes | characteristic |
| 254 | C2×#1039 | C2×#41 | 1 | 1 | yes | characteristic |
| 255 | C4×C5⋊D5 | — | 2 | 4 | no | — |
| 256 | C4×C5⋊D5 | — | 4 | 2 | no | — |
| 257 | C4×C5⋊D5 | — | 4 | 2 | no | — |
| 258 | C4×C5⋊D5 | — | 4 | 2 | no | — |
| 259 | C4×C5⋊D5 | C2×C42 | 1 | 1 | yes | characteristic |
| 260 | C4×C5⋊D5 | C2×C42 | 1 | 1 | yes | characteristic |
| 261 | C4×C5⋊D5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 262 | C4×C5⋊D5 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 263 | C4×C5⋊D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 264 | C4×C5⋊D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 265 | C4×C5⋊D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 266 | C4×C5⋊D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 267 | C4×C5⋊D5 | C4×Q8 | 1 | 1 | yes | characteristic |
| 268 | C4×C5⋊D5 | C4×Q8 | 1 | 1 | yes | characteristic |
| 269 | C4×C5⋊D5 | C4×Q8 | 1 | 1 | yes | characteristic |
| 270 | C4×C5⋊D5 | C4×Q8 | 1 | 1 | yes | characteristic |
| 271 | C4×C5⋊D5 | C23×C4 | 1 | 1 | yes | characteristic |
| 272 | C4×C5⋊D5 | C23×C4 | 1 | 1 | yes | characteristic |
| 273 | C4×C5⋊D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 274 | C4×C5⋊D5 | C22×Q8 | 1 | 1 | yes | characteristic |
| 275 | #6034 | — | 2 | 4 | no | — |
| 276 | #6033 | — | 2 | 4 | no | — |
| 277 | C5×#168 | C2×C42 | 1 | 8 | yes | — |
| 278 | C5×#168 | C2×C4⋊C4 | 1 | 8 | yes | — |
| 279 | C22×C4×D5 | — | 5 | 2 | no | — |
| 280 | C22×C4×D5 | — | 10 | 2 | no | — |
| 281 | C22×C4×D5 | — | 10 | 2 | no | — |
| 282 | C22×C4×D5 | — | 20 | 2 | no | — |
| 283 | C2×C22⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 284 | C2×C22⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 285 | C2×C22⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 286 | C2×#704 | — | 10 | 2 | no | — |
| 287 | C2×#704 | — | 10 | 2 | no | — |
| 288 | C2×#704 | — | 20 | 2 | no | — |
| 289 | #4130 | — | 5 | 4 | no | — |
| 290 | #4130 | — | 5 | 4 | no | — |
| 291 | #4130 | — | 5 | 4 | no | — |
| 292 | #4130 | — | 5 | 4 | no | — |
| 293 | #4130 | — | 10 | 4 | no | — |
| 294 | #4130 | — | 10 | 4 | no | — |
| 295 | #4130 | — | 10 | 2 | no | — |
| 296 | #4130 | — | 10 | 2 | no | — |
| 297 | #4130 | — | 10 | 2 | no | — |
| 298 | #4130 | — | 10 | 2 | no | — |
| 299 | #4130 | — | 20 | 2 | no | — |
| 300 | #4130 | — | 20 | 2 | no | — |
| 301 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 302 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 303 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 304 | C2×C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 305 | C2×C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 306 | C2×C4×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 307 | D5⋊M16 | — | 5 | 4 | no | — |
| 308 | D5⋊M16 | — | 5 | 4 | no | — |
| 309 | D5⋊M16 | — | 5 | 4 | no | — |
| 310 | D5⋊M16 | — | 5 | 4 | no | — |
| 311 | D5⋊M16 | — | 10 | 4 | no | — |
| 312 | D5⋊M16 | — | 10 | 4 | no | — |
| 313 | D5⋊M16 | — | 10 | 2 | no | — |
| 314 | D5⋊M16 | — | 10 | 2 | no | — |
| 315 | D5⋊M16 | — | 10 | 2 | no | — |
| 316 | D5⋊M16 | — | 10 | 2 | no | — |
| 317 | D5⋊M16 | — | 20 | 2 | no | — |
| 318 | D5⋊M16 | — | 20 | 2 | no | — |
| 319 | C2×#700 | — | 5 | 4 | no | — |
| 320 | C2×#700 | — | 5 | 4 | no | — |
| 321 | C2×#700 | — | 10 | 4 | no | — |
| 322 | C2×D5⋊C8 | — | 10 | 2 | no | — |
| 323 | C2×D5⋊C8 | — | 10 | 2 | no | — |
| 324 | C2×D5⋊C8 | — | 20 | 2 | no | — |
| 325 | C2×C5×M16 | — | 5 | 2 | no | — |
| 326 | C2×C5×M16 | — | 5 | 2 | no | — |
| 327 | C2×C42×C5 | — | 2 | 2 | no | — |
| 328 | C2×C42×C5 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 329 | C2×C4×Dic5 | — | 5 | 2 | no | — |
| 330 | C2×C4×Dic5 | — | 10 | 2 | no | — |
| 331 | C2×C4×Dic5 | — | 10 | 2 | no | — |
| 332 | C2×C4×Dic5 | — | 20 | 2 | no | — |
| 333 | C2×#681 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 334 | C2×#681 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 335 | D5×M16 | — | 5 | 4 | no | — |
| 336 | D5×M16 | — | 5 | 4 | no | — |
| 337 | D5×M16 | — | 5 | 4 | no | — |
| 338 | D5×M16 | — | 5 | 4 | no | — |
| 339 | D5×M16 | — | 5 | 4 | no | — |
| 340 | D5×M16 | — | 5 | 4 | no | — |
| 341 | D5×M16 | — | 5 | 4 | no | — |
| 342 | D5×M16 | — | 5 | 4 | no | — |
| 343 | C2×#676 | — | 5 | 4 | no | — |
| 344 | C2×#676 | — | 5 | 4 | no | — |
| 345 | C2×C8×D5 | — | 5 | 4 | no | — |
| 346 | C2×C8×D5 | — | 5 | 4 | no | — |
| 347 | C42×D5 | — | 5 | 2 | no | — |
| 348 | C42×D5 | — | 5 | 2 | no | — |
| 349 | C42×D5 | — | 5 | 2 | no | — |
| 350 | C42×D5 | — | 5 | 2 | no | — |
| 351 | C42×D5 | — | 10 | 2 | no | — |
| 352 | C42×D5 | — | 10 | 2 | no | — |
| 353 | C42×D5 | — | 10 | 2 | no | — |
| 354 | C42×D5 | — | 10 | 2 | no | — |
| 355 | C42×D5 | — | 10 | 2 | no | — |
| 356 | C42×D5 | — | 10 | 2 | no | — |
| 357 | C42×D5 | — | 20 | 2 | no | — |
| 358 | C42×D5 | — | 20 | 2 | no | — |
| 359 | #3996 | — | 5 | 16 | no | — |
| 360 | #3995 | — | 5 | 16 | no | — |
| 361 | #3994 | — | 5 | 16 | no | — |
| 362 | #3993 | — | 5 | 16 | no | — |
| 363 | #3992 | — | 10 | 8 | no | — |
| 364 | #3992 | — | 10 | 8 | no | — |
| 365 | C8×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 366 | C8×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 367 | C5×#97 | — | 5 | 4 | no | — |
| 368 | C4×C5×C8 | — | 5 | 4 | no | — |
| 369 | #3947 | — | 5 | 4 | no | — |
| 370 | #3947 | — | 5 | 4 | no | — |
| 371 | C8×Dic5 | — | 5 | 4 | no | — |
| 372 | C8×Dic5 | — | 5 | 4 | no | — |
| 373 | #3935 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 374 | C4×#168 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 375 | C2×#430 | — | 25 | 1 | no | — |
| 376 | #2911 | — | 25 | 1 | no | — |
| 377 | #2873 | — | 25 | 1 | no | — |
| 378 | #2873 | — | 25 | 1 | no | — |
| 379 | C2×C4×M16 | — | 25 | 1 | no | — |
| 380 | #1773 | — | 25 | 4 | no | — |
| 381 | #1772 | — | 25 | 4 | no | — |
| 382 | C2×#339 | — | 25 | 1 | no | — |
| 383 | C2×#339 | — | 25 | 1 | no | — |
| 384 | C22×C52 | — | 4 | 1 | no | — |
| 385 | C22×C52 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 386 | C22×C52 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 387 | C22×C52 | C2×#117 | 1 | 1 | yes | characteristic |
| 388 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 389 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 390 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 391 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 392 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 393 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 394 | C2×C5⋊D5 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 395 | C2×C5⋊D5 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 396 | C2×C5⋊D5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 397 | C2×C5⋊D5 | C2×C4×Q8 | 1 | 1 | yes | characteristic |
| 398 | #1044 | — | 4 | 4 | no | — |
| 399 | #1043 | — | 4 | 4 | no | — |
| 400 | C4×C52 | — | 2 | 2 | no | — |
| 401 | C4×C52 | — | 4 | 1 | no | — |
| 402 | C4×C52 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 403 | C4×C52 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 404 | C4×C52 | C22×C42 | 1 | 1 | yes | characteristic |
| 405 | C4×C52 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 406 | #1039 | — | 2 | 2 | no | — |
| 407 | #1039 | — | 4 | 1 | no | — |
| 408 | #1039 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 409 | #1039 | C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 410 | #1039 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 411 | #1039 | C2×C4×Q8 | 1 | 1 | yes | characteristic |
| 412 | C23×D5 | — | 5 | 2 | no | — |
| 413 | C23×D5 | — | 10 | 2 | no | — |
| 414 | C22×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 415 | C22×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 416 | C22×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 417 | C22×C4×C5 | — | 2 | 2 | no | — |
| 418 | C22×C4×C5 | — | 2 | 2 | no | — |
| 419 | C22×C4×C5 | — | 4 | 2 | no | — |
| 420 | C22×C4×C5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 421 | C22×Dic5 | — | 5 | 2 | no | — |
| 422 | C22×Dic5 | — | 10 | 2 | no | — |
| 423 | C22×Dic5 | — | 10 | 2 | no | — |
| 424 | C22×Dic5 | — | 20 | 2 | no | — |
| 425 | C2×C4×D5 | — | 5 | 2 | no | — |
| 426 | C2×C4×D5 | — | 5 | 2 | no | — |
| 427 | C2×C4×D5 | — | 5 | 2 | no | — |
| 428 | C2×C4×D5 | — | 5 | 2 | no | — |
| 429 | C2×C4×D5 | — | 5 | 2 | no | — |
| 430 | C2×C4×D5 | — | 5 | 2 | no | — |
| 431 | C2×C4×D5 | — | 5 | 2 | no | — |
| 432 | C2×C4×D5 | — | 5 | 2 | no | — |
| 433 | C2×C4×D5 | — | 5 | 2 | no | — |
| 434 | C2×C4×D5 | — | 5 | 2 | no | — |
| 435 | C2×C4×D5 | — | 5 | 2 | no | — |
| 436 | C2×C4×D5 | — | 5 | 2 | no | — |
| 437 | C2×C4×D5 | — | 10 | 2 | no | — |
| 438 | C2×C4×D5 | — | 10 | 2 | no | — |
| 439 | C2×C4×D5 | — | 10 | 2 | no | — |
| 440 | C2×C4×D5 | — | 10 | 2 | no | — |
| 441 | C2×C4×D5 | — | 10 | 2 | no | — |
| 442 | C2×C4×D5 | — | 10 | 2 | no | — |
| 443 | C2×C4×D5 | — | 10 | 2 | no | — |
| 444 | C2×C4×D5 | — | 10 | 2 | no | — |
| 445 | C2×C4×D5 | — | 10 | 2 | no | — |
| 446 | C2×C4×D5 | — | 10 | 2 | no | — |
| 447 | C2×C4×D5 | — | 10 | 2 | no | — |
| 448 | C2×C4×D5 | — | 10 | 2 | no | — |
| 449 | C2×C4×D5 | — | 10 | 2 | no | — |
| 450 | C2×C4×D5 | — | 10 | 2 | no | — |
| 451 | C2×C4×D5 | — | 10 | 2 | no | — |
| 452 | C2×C4×D5 | — | 10 | 2 | no | — |
| 453 | C2×C4×D5 | — | 20 | 2 | no | — |
| 454 | C2×C4×D5 | — | 20 | 2 | no | — |
| 455 | C2×C4×D5 | — | 20 | 2 | no | — |
| 456 | C2×C4×D5 | — | 20 | 2 | no | — |
| 457 | C2×C4×D5 | — | 20 | 8 | no | — |
| 458 | C2×C4×D5 | — | 20 | 16 | no | — |
| 459 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 460 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 461 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 462 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 463 | C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 464 | C22⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 465 | #704 | — | 10 | 4 | no | — |
| 466 | #704 | — | 10 | 4 | no | — |
| 467 | #704 | — | 10 | 4 | no | — |
| 468 | #704 | — | 10 | 4 | no | — |
| 469 | #704 | — | 20 | 4 | no | — |
| 470 | #704 | — | 20 | 4 | no | — |
| 471 | C2×#170 | — | 10 | 4 | no | — |
| 472 | C2×#170 | — | 10 | 4 | no | — |
| 473 | C2×#170 | — | 20 | 4 | no | — |
| 474 | C4⋊AGL(1,𝔽5) | — | 5 | 8 | no | — |
| 475 | C4⋊AGL(1,𝔽5) | — | 5 | 8 | no | — |
| 476 | C4⋊AGL(1,𝔽5) | — | 10 | 8 | 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) | — | 10 | 4 | no | — |
| 481 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 482 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 483 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 484 | C4×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 485 | C4×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 486 | #700 | — | 5 | 8 | no | — |
| 487 | #700 | — | 5 | 8 | no | — |
| 488 | #700 | — | 10 | 8 | no | — |
| 489 | #700 | — | 10 | 4 | no | — |
| 490 | #700 | — | 10 | 4 | no | — |
| 491 | #700 | — | 20 | 4 | no | — |
| 492 | D5⋊C8 | — | 10 | 4 | no | — |
| 493 | D5⋊C8 | — | 10 | 4 | no | — |
| 494 | D5⋊C8 | — | 10 | 4 | no | — |
| 495 | D5⋊C8 | — | 10 | 4 | no | — |
| 496 | D5⋊C8 | — | 20 | 4 | no | — |
| 497 | D5⋊C8 | — | 20 | 4 | no | — |
| 498 | C5×M16 | — | 5 | 4 | no | — |
| 499 | C5×M16 | — | 5 | 4 | no | — |
| 500 | C5×M16 | — | 5 | 4 | no | — |
| 501 | C5×M16 | — | 5 | 4 | no | — |
| 502 | C2×C5×C8 | — | 5 | 4 | no | — |
| 503 | C2×C5×C8 | — | 5 | 4 | no | — |
| 504 | C42×C5 | — | 2 | 2 | no | — |
| 505 | C42×C5 | — | 2 | 2 | no | — |
| 506 | C42×C5 | — | 2 | 2 | no | — |
| 507 | C42×C5 | — | 4 | 2 | no | — |
| 508 | C42×C5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 509 | C42×C5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 510 | C4×Dic5 | — | 5 | 2 | no | — |
| 511 | C4×Dic5 | — | 5 | 2 | no | — |
| 512 | C4×Dic5 | — | 10 | 2 | no | — |
| 513 | C4×Dic5 | — | 10 | 2 | no | — |
| 514 | C4×Dic5 | — | 10 | 2 | no | — |
| 515 | C4×Dic5 | — | 10 | 2 | no | — |
| 516 | C4×Dic5 | — | 10 | 2 | no | — |
| 517 | C4×Dic5 | — | 10 | 2 | no | — |
| 518 | C4×Dic5 | — | 10 | 2 | no | — |
| 519 | C4×Dic5 | — | 20 | 2 | no | — |
| 520 | C4×Dic5 | — | 20 | 2 | no | — |
| 521 | C4×Dic5 | — | 20 | 2 | no | — |
| 522 | C4×Dic5 | — | 20 | 2 | no | — |
| 523 | C4×Dic5 | — | 20 | 2 | no | — |
| 524 | #681 | C4×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 525 | #681 | C4×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 526 | #681 | C4⋊AGL(1,𝔽5) | 1 | 4 | yes | — |
| 527 | #681 | C4⋊AGL(1,𝔽5) | 1 | 4 | yes | — |
| 528 | C2×#168 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 529 | C2×#168 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 530 | #676 | — | 5 | 8 | no | — |
| 531 | #676 | — | 5 | 8 | no | — |
| 532 | #676 | — | 5 | 8 | no | — |
| 533 | #676 | — | 5 | 8 | no | — |
| 534 | C8×D5 | — | 5 | 8 | no | — |
| 535 | C8×D5 | — | 5 | 8 | no | — |
| 536 | C8×D5 | — | 5 | 8 | no | — |
| 537 | C8×D5 | — | 5 | 8 | no | — |
| 538 | C22×M16 | — | 25 | 1 | no | — |
| 539 | C22×M16 | — | 25 | 1 | no | — |
| 540 | C22×M16 | — | 25 | 1 | no | — |
| 541 | C22×M16 | — | 25 | 1 | no | — |
| 542 | C2×#117 | — | 25 | 1 | no | — |
| 543 | C2×#117 | — | 25 | 1 | no | — |
| 544 | C22×C42 | — | 25 | 1 | no | — |
| 545 | #430 | — | 25 | 4 | no | — |
| 546 | #430 | — | 25 | 4 | no | — |
| 547 | C2×#108 | — | 25 | 4 | no | — |
| 548 | #428 | — | 25 | 4 | no | — |
| 549 | #428 | — | 25 | 4 | no | — |
| 550 | #427 | — | 25 | 4 | no | — |
| 551 | #405 | — | 25 | 4 | no | — |
| 552 | #405 | — | 25 | 4 | no | — |
| 553 | #405 | — | 50 | 2 | no | — |
| 554 | #405 | — | 50 | 2 | no | — |
| 555 | C4×M16 | — | 5 | 2 | no | — |
| 556 | C4×M16 | — | 25 | 2 | no | — |
| 557 | C4×M16 | — | 25 | 2 | no | — |
| 558 | C4×M16 | — | 25 | 2 | no | — |
| 559 | C4×M16 | — | 50 | 2 | no | — |
| 560 | C4×M16 | — | 50 | 2 | no | — |
| 561 | C2×#97 | — | 25 | 2 | no | — |
| 562 | C2×C4×C8 | — | 25 | 2 | no | — |
| 563 | #339 | — | 25 | 2 | no | — |
| 564 | #339 | — | 25 | 2 | no | — |
| 565 | #339 | — | 25 | 2 | no | — |
| 566 | #339 | — | 25 | 2 | no | — |
| 567 | C2×C52 | — | 2 | 1 | no | — |
| 568 | C2×C52 | — | 2 | 1 | no | — |
| 569 | C2×C52 | — | 2 | 1 | no | — |
| 570 | C2×C52 | C2×C4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 571 | C5⋊D5 | — | 2 | 1 | no | — |
| 572 | C5⋊D5 | — | 2 | 1 | no | — |
| 573 | C5⋊D5 | — | 2 | 1 | no | — |
| 574 | C5⋊D5 | #2956 | 1 | 2 | yes | — |
| 575 | C23×C5 | — | 2 | 2 | no | — |
| 576 | C23×C5 | #4130 | 1 | 2 | yes | — |
| 577 | C22×D5 | — | 5 | 2 | no | — |
| 578 | C22×D5 | — | 5 | 2 | no | — |
| 579 | C22×D5 | — | 5 | 2 | no | — |
| 580 | C22×D5 | — | 5 | 2 | no | — |
| 581 | C22×D5 | — | 5 | 2 | no | — |
| 582 | C22×D5 | — | 5 | 2 | no | — |
| 583 | C22×D5 | — | 10 | 2 | no | — |
| 584 | C22×D5 | — | 10 | 2 | no | — |
| 585 | C22×D5 | — | 10 | 2 | no | — |
| 586 | C22×D5 | — | 10 | 2 | no | — |
| 587 | C22×D5 | — | 10 | 2 | no | — |
| 588 | C22×D5 | — | 10 | 2 | no | — |
| 589 | C22×D5 | — | 20 | 4 | no | — |
| 590 | C22×D5 | — | 20 | 8 | no | — |
| 591 | C2×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 592 | C2×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 593 | C2×AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 594 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 595 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 596 | C2×AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 597 | C2×C4×C5 | — | 2 | 2 | no | — |
| 598 | C2×C4×C5 | — | 2 | 2 | no | — |
| 599 | C2×C4×C5 | — | 2 | 2 | no | — |
| 600 | C2×C4×C5 | — | 2 | 2 | no | — |
| 601 | C2×C4×C5 | — | 2 | 2 | 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 | — | 4 | 2 | no | — |
| 607 | C2×C4×C5 | — | 4 | 4 | no | — |
| 608 | C2×C4×C5 | — | 4 | 8 | no | — |
| 609 | C2×C4×C5 | C2×C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 610 | C2×C4×C5 | C2×C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 611 | C2×C4×C5 | C2×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 612 | C2×C4×C5 | C2×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 613 | C2×C4×C5 | #4130 | 1 | 2 | yes | — |
| 614 | C2×C4×C5 | C23×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 615 | C2×Dic5 | — | 5 | 2 | no | — |
| 616 | C2×Dic5 | — | 5 | 2 | no | — |
| 617 | C2×Dic5 | — | 5 | 2 | no | — |
| 618 | C2×Dic5 | — | 5 | 2 | no | — |
| 619 | C2×Dic5 | — | 5 | 2 | no | — |
| 620 | C2×Dic5 | — | 5 | 2 | no | — |
| 621 | C2×Dic5 | — | 10 | 2 | no | — |
| 622 | C2×Dic5 | — | 10 | 2 | no | — |
| 623 | C2×Dic5 | — | 10 | 2 | no | — |
| 624 | C2×Dic5 | — | 10 | 2 | no | — |
| 625 | C2×Dic5 | — | 10 | 2 | no | — |
| 626 | C2×Dic5 | — | 10 | 2 | no | — |
| 627 | C2×Dic5 | — | 10 | 2 | no | — |
| 628 | C2×Dic5 | — | 10 | 2 | no | — |
| 629 | C2×Dic5 | — | 20 | 2 | no | — |
| 630 | C2×Dic5 | — | 20 | 2 | no | — |
| 631 | C2×Dic5 | — | 20 | 4 | no | — |
| 632 | C2×Dic5 | — | 20 | 8 | no | — |
| 633 | C4×D5 | — | 5 | 2 | no | — |
| 634 | C4×D5 | — | 5 | 2 | no | — |
| 635 | C4×D5 | — | 5 | 2 | no | — |
| 636 | C4×D5 | — | 5 | 2 | no | — |
| 637 | C4×D5 | — | 5 | 2 | no | — |
| 638 | C4×D5 | — | 5 | 2 | no | — |
| 639 | C4×D5 | — | 5 | 2 | no | — |
| 640 | C4×D5 | — | 5 | 2 | no | — |
| 641 | C4×D5 | — | 5 | 2 | no | — |
| 642 | C4×D5 | — | 5 | 2 | no | — |
| 643 | C4×D5 | — | 5 | 2 | no | — |
| 644 | C4×D5 | — | 5 | 2 | no | — |
| 645 | C4×D5 | — | 5 | 2 | no | — |
| 646 | C4×D5 | — | 5 | 2 | no | — |
| 647 | C4×D5 | — | 5 | 2 | no | — |
| 648 | C4×D5 | — | 5 | 2 | no | — |
| 649 | C4×D5 | — | 10 | 2 | no | — |
| 650 | C4×D5 | — | 10 | 2 | no | — |
| 651 | C4×D5 | — | 10 | 2 | no | — |
| 652 | C4×D5 | — | 10 | 2 | no | — |
| 653 | C4×D5 | — | 10 | 2 | no | — |
| 654 | C4×D5 | — | 10 | 2 | no | — |
| 655 | C4×D5 | — | 10 | 2 | no | — |
| 656 | C4×D5 | — | 10 | 2 | no | — |
| 657 | C4×D5 | — | 10 | 2 | no | — |
| 658 | C4×D5 | — | 10 | 2 | no | — |
| 659 | C4×D5 | — | 10 | 2 | no | — |
| 660 | C4×D5 | — | 10 | 2 | no | — |
| 661 | C4×D5 | — | 10 | 2 | no | — |
| 662 | C4×D5 | — | 10 | 2 | no | — |
| 663 | C4×D5 | — | 10 | 2 | no | — |
| 664 | C4×D5 | — | 10 | 2 | no | — |
| 665 | C4×D5 | — | 10 | 8 | no | — |
| 666 | C4×D5 | — | 20 | 8 | no | — |
| 667 | C4×D5 | — | 20 | 4 | no | — |
| 668 | C4×D5 | — | 20 | 4 | no | — |
| 669 | C4×D5 | — | 20 | 4 | no | — |
| 670 | C4×D5 | — | 20 | 8 | no | — |
| 671 | C4×D5 | — | 20 | 8 | no | — |
| 672 | C4×D5 | — | 20 | 8 | no | — |
| 673 | #170 | — | 10 | 8 | no | — |
| 674 | #170 | — | 10 | 8 | no | — |
| 675 | #170 | — | 20 | 8 | no | — |
| 676 | C5×C8 | — | 5 | 8 | no | — |
| 677 | C5×C8 | — | 5 | 8 | no | — |
| 678 | #168 | C2×C4×AGL(1,𝔽5) | 1 | 8 | yes | — |
| 679 | #168 | C2×C4⋊AGL(1,𝔽5) | 1 | 8 | yes | — |
| 680 | C23×C4 | — | 25 | 1 | no | — |
| 681 | C23×C4 | — | 50 | 1 | no | — |
| 682 | C2×M16 | — | 5 | 2 | no | — |
| 683 | C2×M16 | — | 5 | 2 | no | — |
| 684 | C2×M16 | — | 25 | 2 | no | — |
| 685 | C2×M16 | — | 25 | 2 | no | — |
| 686 | C2×M16 | — | 25 | 2 | no | — |
| 687 | C2×M16 | — | 25 | 2 | no | — |
| 688 | C2×M16 | — | 25 | 2 | no | — |
| 689 | C2×M16 | — | 25 | 2 | no | — |
| 690 | C2×M16 | — | 25 | 2 | no | — |
| 691 | C2×M16 | — | 25 | 2 | no | — |
| 692 | C2×M16 | — | 25 | 2 | no | — |
| 693 | C2×M16 | — | 25 | 2 | no | — |
| 694 | C2×M16 | — | 25 | 2 | no | — |
| 695 | C2×M16 | — | 25 | 2 | no | — |
| 696 | C2×M16 | — | 25 | 2 | no | — |
| 697 | C2×M16 | — | 25 | 2 | no | — |
| 698 | C2×M16 | — | 25 | 2 | no | — |
| 699 | C2×M16 | — | 25 | 2 | no | — |
| 700 | C2×M16 | — | 50 | 1 | no | — |
| 701 | C2×M16 | — | 50 | 1 | no | — |
| 702 | C2×M16 | — | 50 | 1 | no | — |
| 703 | C2×M16 | — | 50 | 1 | no | — |
| 704 | C2×M16 | — | 50 | 1 | no | — |
| 705 | C2×M16 | — | 50 | 1 | no | — |
| 706 | C22×C8 | — | 25 | 2 | no | — |
| 707 | C22×C8 | — | 25 | 2 | no | — |
| 708 | C22×C8 | — | 50 | 1 | no | — |
| 709 | C22×C8 | — | 50 | 1 | no | — |
| 710 | #117 | — | 25 | 2 | no | — |
| 711 | #117 | — | 25 | 2 | no | — |
| 712 | #117 | — | 25 | 2 | no | — |
| 713 | #117 | — | 25 | 2 | no | — |
| 714 | #117 | — | 50 | 1 | no | — |
| 715 | #117 | — | 50 | 1 | no | — |
| 716 | #117 | — | 50 | 1 | no | — |
| 717 | #117 | — | 50 | 1 | no | — |
| 718 | C2×C4⋊C4 | — | 25 | 2 | no | — |
| 719 | C2×C4⋊C4 | — | 25 | 2 | no | — |
| 720 | C2×C22⋊C4 | — | 50 | 1 | no | — |
| 721 | C2×C22⋊C4 | — | 50 | 1 | no | — |
| 722 | C2×C42 | — | 25 | 1 | no | — |
| 723 | C2×C42 | — | 25 | 1 | no | — |
| 724 | C2×C42 | — | 25 | 1 | no | — |
| 725 | C2×C42 | — | 25 | 1 | no | — |
| 726 | C2×C42 | — | 25 | 1 | no | — |
| 727 | C2×C42 | — | 50 | 1 | no | — |
| 728 | C2×C42 | — | 50 | 1 | no | — |
| 729 | C2×C42 | — | 50 | 1 | no | — |
| 730 | C2×C42 | — | 50 | 1 | no | — |
| 731 | C2×C42 | — | 50 | 1 | no | — |
| 732 | C2×C42 | D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 733 | #108 | — | 25 | 16 | no | — |
| 734 | #107 | — | 25 | 8 | no | — |
| 735 | #106 | — | 25 | 8 | no | — |
| 736 | #97 | — | 5 | 4 | no | — |
| 737 | #97 | — | 25 | 4 | no | — |
| 738 | #97 | — | 50 | 4 | no | — |
| 739 | #97 | — | 50 | 4 | no | — |
| 740 | C4×C8 | — | 5 | 4 | no | — |
| 741 | C4×C8 | — | 25 | 4 | no | — |
| 742 | C4×C8 | — | 50 | 4 | no | — |
| 743 | C4×C8 | — | 50 | 4 | no | — |
| 744 | C52 | #20445 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 745 | C22×C5 | — | 2 | 2 | no | — |
| 746 | C22×C5 | — | 2 | 2 | no | — |
| 747 | C22×C5 | — | 2 | 2 | no | — |
| 748 | C22×C5 | — | 4 | 2 | no | — |
| 749 | C22×C5 | — | 4 | 4 | no | — |
| 750 | C22×C5 | C4×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 751 | C22×C5 | C4×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 752 | C22×C5 | C2×#4130 | 1 | 2 | yes | — |
| 753 | C2×D5 | — | 5 | 2 | no | — |
| 754 | C2×D5 | — | 5 | 2 | no | — |
| 755 | C2×D5 | — | 5 | 2 | no | — |
| 756 | C2×D5 | — | 5 | 2 | no | — |
| 757 | C2×D5 | — | 10 | 2 | no | — |
| 758 | C2×D5 | — | 10 | 2 | no | — |
| 759 | C2×D5 | — | 10 | 2 | no | — |
| 760 | C2×D5 | — | 10 | 2 | no | — |
| 761 | C2×D5 | — | 10 | 4 | no | — |
| 762 | C2×D5 | — | 10 | 4 | no | — |
| 763 | C2×D5 | — | 10 | 4 | no | — |
| 764 | C2×D5 | — | 10 | 8 | no | — |
| 765 | C2×D5 | — | 20 | 4 | no | — |
| 766 | C2×D5 | — | 20 | 4 | no | — |
| 767 | C2×D5 | — | 20 | 2 | no | — |
| 768 | C2×D5 | — | 20 | 2 | no | — |
| 769 | C2×D5 | — | 20 | 2 | no | — |
| 770 | C2×D5 | — | 20 | 4 | no | — |
| 771 | C2×D5 | — | 20 | 4 | no | — |
| 772 | C2×D5 | — | 20 | 4 | no | — |
| 773 | AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 774 | AGL(1,𝔽5) | — | 20 | 8 | no | — |
| 775 | AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 776 | C4×C5 | — | 2 | 4 | no | — |
| 777 | C4×C5 | — | 2 | 2 | no | — |
| 778 | C4×C5 | — | 2 | 2 | no | — |
| 779 | C4×C5 | — | 2 | 2 | no | — |
| 780 | C4×C5 | — | 2 | 2 | no | — |
| 781 | C4×C5 | — | 4 | 4 | no | — |
| 782 | C4×C5 | — | 4 | 2 | no | — |
| 783 | C4×C5 | — | 4 | 4 | no | — |
| 784 | C4×C5 | C4×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 785 | C4×C5 | C4×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 786 | C4×C5 | C22×C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 787 | C4×C5 | C22×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 788 | Dic5 | — | 5 | 2 | no | — |
| 789 | Dic5 | — | 5 | 2 | no | — |
| 790 | Dic5 | — | 5 | 2 | no | — |
| 791 | Dic5 | — | 5 | 2 | no | — |
| 792 | Dic5 | — | 10 | 2 | no | — |
| 793 | Dic5 | — | 10 | 2 | no | — |
| 794 | Dic5 | — | 10 | 2 | no | — |
| 795 | Dic5 | — | 10 | 2 | no | — |
| 796 | Dic5 | — | 10 | 4 | no | — |
| 797 | Dic5 | — | 20 | 4 | no | — |
| 798 | Dic5 | — | 20 | 2 | no | — |
| 799 | Dic5 | — | 20 | 4 | no | — |
| 800 | C24 | — | 25 | 1 | no | — |
| 801 | C22×C4 | — | 2 | 1 | no | — |
| 802 | C22×C4 | — | 25 | 1 | no | — |
| 803 | C22×C4 | — | 25 | 1 | no | — |
| 804 | C22×C4 | — | 25 | 1 | no | — |
| 805 | C22×C4 | — | 25 | 1 | no | — |
| 806 | C22×C4 | — | 25 | 1 | no | — |
| 807 | C22×C4 | — | 25 | 1 | no | — |
| 808 | C22×C4 | — | 25 | 1 | no | — |
| 809 | C22×C4 | — | 25 | 1 | no | — |
| 810 | C22×C4 | — | 25 | 1 | no | — |
| 811 | C22×C4 | — | 25 | 1 | no | — |
| 812 | C22×C4 | — | 25 | 1 | no | — |
| 813 | C22×C4 | — | 25 | 1 | no | — |
| 814 | C22×C4 | — | 25 | 1 | no | — |
| 815 | C22×C4 | — | 50 | 1 | no | — |
| 816 | C22×C4 | — | 50 | 1 | no | — |
| 817 | C22×C4 | — | 50 | 1 | no | — |
| 818 | C22×C4 | — | 50 | 1 | no | — |
| 819 | C22×C4 | — | 50 | 1 | no | — |
| 820 | C22×C4 | — | 50 | 2 | no | — |
| 821 | C22×C4 | — | 50 | 2 | no | — |
| 822 | C22×C4 | — | 100 | 4 | no | — |
| 823 | C22×C4 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 824 | M16 | — | 5 | 4 | no | — |
| 825 | M16 | — | 5 | 4 | no | — |
| 826 | M16 | — | 5 | 4 | no | — |
| 827 | M16 | — | 5 | 4 | no | — |
| 828 | M16 | — | 25 | 4 | no | — |
| 829 | M16 | — | 25 | 4 | no | — |
| 830 | M16 | — | 25 | 4 | no | — |
| 831 | M16 | — | 25 | 4 | no | — |
| 832 | M16 | — | 25 | 4 | no | — |
| 833 | M16 | — | 25 | 4 | no | — |
| 834 | M16 | — | 50 | 2 | no | — |
| 835 | M16 | — | 50 | 2 | no | — |
| 836 | M16 | — | 50 | 2 | no | — |
| 837 | M16 | — | 50 | 2 | no | — |
| 838 | M16 | — | 50 | 2 | no | — |
| 839 | M16 | — | 50 | 2 | no | — |
| 840 | C2×C8 | — | 5 | 4 | no | — |
| 841 | C2×C8 | — | 5 | 4 | no | — |
| 842 | C2×C8 | — | 25 | 4 | no | — |
| 843 | C2×C8 | — | 25 | 4 | no | — |
| 844 | C2×C8 | — | 25 | 4 | no | — |
| 845 | C2×C8 | — | 25 | 4 | no | — |
| 846 | C2×C8 | — | 50 | 2 | no | — |
| 847 | C2×C8 | — | 50 | 2 | no | — |
| 848 | C2×C8 | — | 50 | 2 | no | — |
| 849 | C2×C8 | — | 50 | 2 | no | — |
| 850 | C2×C8 | — | 50 | 2 | no | — |
| 851 | C2×C8 | — | 50 | 2 | no | — |
| 852 | C4⋊C4 | — | 25 | 4 | no | — |
| 853 | C4⋊C4 | — | 25 | 4 | no | — |
| 854 | C4⋊C4 | — | 50 | 2 | no | — |
| 855 | C4⋊C4 | — | 50 | 2 | no | — |
| 856 | C22⋊C4 | — | 50 | 2 | no | — |
| 857 | C22⋊C4 | — | 50 | 2 | no | — |
| 858 | C22⋊C4 | — | 50 | 2 | no | — |
| 859 | C22⋊C4 | — | 50 | 2 | no | — |
| 860 | C42 | — | 2 | 1 | no | — |
| 861 | C42 | — | 25 | 1 | no | — |
| 862 | C42 | — | 25 | 1 | no | — |
| 863 | C42 | — | 50 | 1 | no | — |
| 864 | C42 | — | 50 | 1 | no | — |
| 865 | C42 | — | 50 | 1 | no | — |
| 866 | C42 | — | 50 | 1 | no | — |
| 867 | C42 | — | 50 | 2 | no | — |
| 868 | C42 | — | 50 | 2 | no | — |
| 869 | C42 | — | 50 | 2 | no | — |
| 870 | C42 | — | 50 | 2 | no | — |
| 871 | C42 | — | 50 | 1 | no | — |
| 872 | C42 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 873 | C42 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 874 | C2×C5 | — | 2 | 4 | no | — |
| 875 | C2×C5 | — | 2 | 2 | no | — |
| 876 | C2×C5 | — | 2 | 2 | no | — |
| 877 | C2×C5 | — | 2 | 2 | no | — |
| 878 | C2×C5 | — | 2 | 2 | no | — |
| 879 | C2×C5 | — | 4 | 2 | no | — |
| 880 | C2×C5 | — | 4 | 2 | no | — |
| 881 | C2×C5 | C2×C4×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 882 | D5 | — | 5 | 4 | no | — |
| 883 | D5 | — | 10 | 4 | no | — |
| 884 | D5 | — | 10 | 4 | no | — |
| 885 | D5 | — | 10 | 2 | no | — |
| 886 | D5 | — | 10 | 2 | no | — |
| 887 | D5 | — | 10 | 2 | no | — |
| 888 | D5 | — | 20 | 2 | no | — |
| 889 | D5 | — | 20 | 2 | no | — |
| 890 | C23 | — | 25 | 1 | no | — |
| 891 | C23 | — | 25 | 1 | no | — |
| 892 | C23 | — | 25 | 1 | no | — |
| 893 | C23 | — | 25 | 1 | no | — |
| 894 | C23 | — | 25 | 1 | no | — |
| 895 | C23 | — | 25 | 1 | no | — |
| 896 | C23 | — | 100 | 2 | no | — |
| 897 | C23 | #11717367 | 1 | 1 | yes | characteristic |
| 898 | C2×C4 | — | 2 | 1 | no | — |
| 899 | C2×C4 | — | 2 | 1 | no | — |
| 900 | C2×C4 | — | 4 | 2 | no | — |
| 901 | C2×C4 | — | 25 | 1 | no | — |
| 902 | C2×C4 | — | 25 | 1 | no | — |
| 903 | C2×C4 | — | 25 | 1 | no | — |
| 904 | C2×C4 | — | 25 | 1 | no | — |
| 905 | C2×C4 | — | 25 | 1 | no | — |
| 906 | C2×C4 | — | 25 | 1 | no | — |
| 907 | C2×C4 | — | 25 | 1 | no | — |
| 908 | C2×C4 | — | 25 | 1 | no | — |
| 909 | C2×C4 | — | 25 | 1 | no | — |
| 910 | C2×C4 | — | 25 | 1 | no | — |
| 911 | C2×C4 | — | 25 | 1 | no | — |
| 912 | C2×C4 | — | 25 | 1 | no | — |
| 913 | C2×C4 | — | 25 | 1 | no | — |
| 914 | C2×C4 | — | 25 | 1 | no | — |
| 915 | C2×C4 | — | 25 | 1 | no | — |
| 916 | C2×C4 | — | 25 | 1 | no | — |
| 917 | C2×C4 | — | 25 | 1 | no | — |
| 918 | C2×C4 | — | 25 | 1 | no | — |
| 919 | C2×C4 | — | 25 | 1 | no | — |
| 920 | C2×C4 | — | 25 | 1 | no | — |
| 921 | C2×C4 | — | 25 | 1 | no | — |
| 922 | C2×C4 | — | 25 | 1 | no | — |
| 923 | C2×C4 | — | 50 | 4 | no | — |
| 924 | C2×C4 | — | 50 | 1 | no | — |
| 925 | C2×C4 | — | 50 | 4 | no | — |
| 926 | C2×C4 | — | 50 | 4 | no | — |
| 927 | C2×C4 | — | 50 | 1 | no | — |
| 928 | C2×C4 | — | 100 | 2 | no | — |
| 929 | C2×C4 | — | 100 | 2 | no | — |
| 930 | C2×C4 | — | 100 | 2 | no | — |
| 931 | C2×C4 | — | 100 | 2 | no | — |
| 932 | C2×C4 | — | 200 | 2 | no | — |
| 933 | C2×C4 | — | 200 | 2 | no | — |
| 934 | C2×C4 | C4×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 935 | C2×C4 | C4×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 936 | C2×C4 | D5⋊(C4⋊AGL(1,𝔽5)) | 1 | 1 | yes | characteristic |
| 937 | C2×C4 | D5⋊(C4⋊AGL(1,𝔽5)) | 1 | 1 | yes | characteristic |
| 938 | C2×C4 | #11717367 | 1 | 1 | yes | characteristic |
| 939 | C2×C4 | C22×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 940 | C8 | — | 5 | 8 | no | — |
| 941 | C8 | — | 5 | 8 | no | — |
| 942 | C8 | — | 50 | 4 | no | — |
| 943 | C8 | — | 50 | 4 | no | — |
| 944 | C5 | — | 2 | 2 | no | — |
| 945 | C5 | #13033560 | 1 | 2 | yes | complemented |
| 946 | C22 | — | 4 | 1 | no | — |
| 947 | C22 | — | 25 | 1 | no | — |
| 948 | C22 | — | 25 | 1 | no | — |
| 949 | C22 | — | 25 | 1 | no | — |
| 950 | C22 | — | 25 | 1 | no | — |
| 951 | C22 | — | 50 | 2 | no | — |
| 952 | C22 | — | 50 | 2 | no | — |
| 953 | C22 | — | 50 | 2 | no | — |
| 954 | C22 | — | 100 | 1 | no | — |
| 955 | C22 | — | 100 | 1 | no | — |
| 956 | C22 | — | 100 | 1 | no | — |
| 957 | C22 | #13103998 | 1 | 1 | yes | characteristic |
| 958 | C22 | #13103998 | 1 | 1 | yes | characteristic |
| 959 | C22 | C2×#11717367 | 1 | 1 | yes | characteristic |
| 960 | C4 | — | 2 | 2 | no | — |
| 961 | C4 | — | 4 | 1 | no | — |
| 962 | C4 | — | 25 | 1 | no | — |
| 963 | C4 | — | 25 | 1 | no | — |
| 964 | C4 | — | 25 | 1 | no | — |
| 965 | C4 | — | 25 | 1 | no | — |
| 966 | C4 | — | 50 | 2 | no | — |
| 967 | C4 | — | 100 | 1 | no | — |
| 968 | C4 | — | 100 | 4 | no | — |
| 969 | C4 | — | 100 | 4 | no | — |
| 970 | C4 | #13103998 | 1 | 1 | yes | characteristic |
| 971 | C4 | #13103998 | 1 | 1 | yes | characteristic |
| 972 | C4 | C2×C4×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 973 | C4 | C2×D5⋊(C4⋊AGL(1,𝔽5)) | 1 | 1 | yes | characteristic |
| 974 | C2 | — | 2 | 1 | no | — |
| 975 | C2 | — | 2 | 1 | no | — |
| 976 | C2 | — | 2 | 1 | no | — |
| 977 | C2 | — | 25 | 2 | no | — |
| 978 | C2 | — | 50 | 1 | no | — |
| 979 | C2 | — | 50 | 1 | no | — |
| 980 | C2 | — | 50 | 1 | no | — |
| 981 | C2 | C2×#13103998 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta