Finite Group DatabasebetaFinite Group DatabasebetaOrder 6400.
1561 conjugacy classes of subgroups.
The subgroup lattice has 757 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72221524 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #72221512 | C2 | 1 | 2 | yes | maximal |
| 3 | #72221505 | C2 | 1 | 2 | yes | maximal |
| 4 | #72221503 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #72221490 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | D5×#4130 | C22 | 1 | 2 | yes | — |
| 7 | D5×D5⋊M16 | C22 | 1 | 2 | yes | — |
| 8 | C2×D5⋊(C4⋊AGL(1,𝔽5)) | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×#11717354 | C22 | 1 | 1 | yes | characteristic |
| 10 | #13107464 | — | 2 | 2 | no | — |
| 11 | #13107450 | — | 2 | 4 | no | — |
| 12 | #13105083 | C22 | 1 | 1 | yes | characteristic |
| 13 | #13104827 | C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | #13104700 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | #13104048 | — | 2 | 2 | no | — |
| 16 | #13104003 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #13104000 | — | 2 | 2 | no | — |
| 18 | #13103882 | C4 | 1 | 1 | yes | characteristic, complemented |
| 19 | #13103285 | — | 2 | 2 | no | — |
| 20 | #13103261 | — | 2 | 4 | no | — |
| 21 | #13100147 | C4 | 1 | 2 | yes | complemented |
| 22 | C5×#64863 | C4 | 1 | 2 | yes | complemented |
| 23 | #13099782 | C4 | 1 | 2 | yes | complemented |
| 24 | #13099780 | C4 | 1 | 2 | yes | complemented |
| 25 | #13022177 | — | 5 | 2 | no | maximal |
| 26 | C22×D5⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 27 | C2×C4×D52 | C23 | 1 | 1 | yes | characteristic |
| 28 | C2×C4⋊#1044 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | C2×C4⋊#1044 | C2×C4 | 1 | 1 | yes | characteristic |
| 30 | C2×C4⋊#1043 | — | 2 | 2 | no | — |
| 31 | C2×C4⋊#1043 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C2×C4⋊#1043 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | #11717425 | C2×C4 | 1 | 2 | yes | — |
| 34 | D5⋊#681 | C2×C4 | 1 | 2 | yes | — |
| 35 | C5×#4130 | C2×C4 | 1 | 2 | yes | — |
| 36 | C5×D5⋊M16 | C2×C4 | 1 | 2 | yes | — |
| 37 | C2×#87832 | — | 2 | 1 | no | — |
| 38 | C2×#87832 | — | 2 | 2 | no | — |
| 39 | C2×#87831 | D4 | 1 | 2 | yes | — |
| 40 | C2×#87830 | D4 | 1 | 2 | yes | — |
| 41 | D5⋊(C4⋊AGL(1,𝔽5)) | — | 2 | 2 | no | — |
| 42 | D5⋊(C4⋊AGL(1,𝔽5)) | — | 2 | 2 | no | — |
| 43 | #11717354 | — | 2 | 2 | no | — |
| 44 | #11717354 | — | 2 | 2 | no | — |
| 45 | D5×C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 46 | #11717347 | — | 2 | 2 | no | — |
| 47 | D5×#704 | — | 2 | 2 | no | — |
| 48 | #11717339 | — | 2 | 2 | no | — |
| 49 | D5×C4⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 50 | C4×D5×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 51 | D5⋊#676 | Q8 | 1 | 4 | yes | — |
| 52 | #11717331 | — | 2 | 2 | no | — |
| 53 | D5×#700 | — | 2 | 2 | no | — |
| 54 | D5×D5⋊C8 | D4 | 1 | 4 | yes | — |
| 55 | #11717325 | — | 2 | 2 | no | — |
| 56 | #11717323 | — | 2 | 2 | no | — |
| 57 | #11717302 | — | 2 | 4 | no | — |
| 58 | #11717300 | — | 2 | 4 | no | — |
| 59 | C42×C5⋊D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | C5×#4018 | C2×C4 | 1 | 2 | yes | — |
| 61 | #11717039 | — | 2 | 1 | no | — |
| 62 | #11717001 | — | 2 | 1 | no | — |
| 63 | C4×#6036 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | #11716996 | — | 2 | 2 | no | — |
| 65 | #11716973 | C2×C4 | 1 | 2 | yes | — |
| 66 | #11716899 | — | 2 | 2 | no | — |
| 67 | #11716776 | — | 2 | 2 | no | — |
| 68 | #10617407 | — | 5 | 2 | no | — |
| 69 | #10617131 | — | 5 | 2 | no | — |
| 70 | #10604758 | — | 5 | 2 | no | — |
| 71 | #10604384 | — | 5 | 2 | no | — |
| 72 | #10604379 | — | 5 | 2 | no | — |
| 73 | #10604375 | — | 5 | 2 | no | — |
| 74 | D5×H(3,ℤ/4) | — | 5 | 2 | no | — |
| 75 | C22×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 76 | C22×#1044 | — | 2 | 1 | no | — |
| 77 | C22×#1044 | C22⋊C4 | 1 | 2 | yes | — |
| 78 | C22×#1043 | — | 2 | 1 | no | — |
| 79 | C22×#1043 | C22⋊C4 | 1 | 2 | yes | — |
| 80 | C2×D5⋊AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 81 | C2×D5⋊AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 82 | C2×D5×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 83 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 84 | C2×C4×C5⋊D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 85 | C2×C4×C5×D5 | C22×C4 | 1 | 2 | yes | — |
| 86 | C2×#6036 | — | 2 | 1 | no | — |
| 87 | C2×#6036 | C2×D4 | 1 | 1 | yes | characteristic |
| 88 | C2×D5×Dic5 | #41 | 1 | 2 | yes | — |
| 89 | C4×D52 | C2×D4 | 1 | 2 | yes | — |
| 90 | C4×D52 | C2×Q8 | 1 | 2 | yes | — |
| 91 | C4×D52 | #41 | 1 | 2 | yes | — |
| 92 | C4×D52 | #41 | 1 | 2 | yes | — |
| 93 | C4⋊#1044 | — | 2 | 2 | no | — |
| 94 | C4⋊#1044 | — | 2 | 2 | no | — |
| 95 | C4⋊#1043 | — | 2 | 2 | no | — |
| 96 | C4⋊#1043 | — | 2 | 2 | no | — |
| 97 | C4⋊#1043 | — | 8 | 2 | no | — |
| 98 | C22⋊#1042 | — | 2 | 2 | no | — |
| 99 | #87853 | — | 2 | 2 | no | — |
| 100 | C4⋊#1042 | — | 2 | 2 | no | — |
| 101 | C4×#1042 | — | 2 | 2 | no | — |
| 102 | #87849 | — | 2 | 2 | no | — |
| 103 | D5⋊#168 | C4⋊C4 | 1 | 4 | yes | complemented |
| 104 | C5×C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 105 | C5×#704 | — | 2 | 2 | no | — |
| 106 | C5×C4⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 107 | C4×C5×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 108 | C5×#700 | — | 2 | 2 | no | — |
| 109 | C5×D5⋊C8 | C4⋊C4 | 1 | 4 | yes | complemented |
| 110 | #87832 | — | 4 | 1 | no | — |
| 111 | #87832 | — | 4 | 1 | no | — |
| 112 | #87832 | — | 8 | 2 | no | — |
| 113 | #87831 | — | 2 | 4 | no | — |
| 114 | #87830 | — | 2 | 2 | no | — |
| 115 | #87830 | — | 2 | 2 | no | — |
| 116 | #87829 | — | 2 | 4 | no | — |
| 117 | #87828 | — | 2 | 4 | no | — |
| 118 | #87827 | — | 2 | 4 | no | — |
| 119 | D5×#170 | — | 2 | 4 | no | — |
| 120 | #87825 | — | 4 | 2 | no | — |
| 121 | (C2×AGL(1,𝔽5))⋊D5 | — | 4 | 2 | no | — |
| 122 | Dic5×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 123 | C42×C52 | C42 | 1 | 1 | yes | characteristic |
| 124 | C4×#1039 | — | 2 | 1 | no | — |
| 125 | C4×#1039 | C42 | 1 | 1 | yes | characteristic |
| 126 | C5×#685 | — | 2 | 2 | no | — |
| 127 | C5×#683 | — | 2 | 2 | no | — |
| 128 | C4×C5×Dic5 | C42 | 1 | 2 | yes | — |
| 129 | #87780 | — | 2 | 2 | no | — |
| 130 | #87778 | — | 2 | 2 | no | — |
| 131 | Dic52 | — | 2 | 1 | no | — |
| 132 | C2×#4130 | — | 5 | 2 | no | — |
| 133 | C2×#4130 | — | 5 | 2 | no | — |
| 134 | C22×C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 135 | C2×D5⋊M16 | — | 5 | 2 | no | — |
| 136 | C2×D5×M16 | — | 5 | 2 | no | — |
| 137 | D5×#117 | — | 5 | 2 | no | — |
| 138 | D5×#117 | — | 5 | 2 | no | — |
| 139 | #65728 | — | 10 | 4 | no | — |
| 140 | M16×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 141 | #65718 | — | 10 | 4 | no | — |
| 142 | #65712 | — | 10 | 4 | no | — |
| 143 | #65699 | — | 10 | 4 | no | — |
| 144 | #65689 | — | 5 | 2 | no | — |
| 145 | #65689 | — | 5 | 2 | no | — |
| 146 | #65688 | — | 5 | 2 | no | — |
| 147 | #65688 | — | 5 | 2 | no | — |
| 148 | #65688 | — | 20 | 1 | no | — |
| 149 | #64893 | — | 10 | 4 | no | — |
| 150 | #64874 | — | 10 | 4 | no | — |
| 151 | #64866 | — | 10 | 4 | no | — |
| 152 | #64863 | — | 5 | 2 | no | — |
| 153 | #64863 | — | 5 | 2 | no | — |
| 154 | #64863 | — | 5 | 2 | no | — |
| 155 | #64863 | AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 156 | C5×H(3,ℤ/4) | — | 5 | 2 | no | — |
| 157 | #64777 | — | 5 | 2 | no | — |
| 158 | #64751 | — | 5 | 2 | no | — |
| 159 | #64751 | — | 5 | 2 | no | — |
| 160 | #10889 | — | 25 | 1 | no | Sylow |
| 161 | C22×C5⋊D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 162 | C22×C5×D5 | C4×D4 | 1 | 2 | yes | — |
| 163 | C2×D52 | — | 4 | 1 | no | — |
| 164 | C2×D52 | — | 4 | 1 | no | — |
| 165 | C2×D52 | #121 | 1 | 2 | yes | — |
| 166 | C2×D52 | #124 | 1 | 1 | yes | characteristic |
| 167 | C2×D52 | C4⋊Q8 | 1 | 1 | yes | characteristic |
| 168 | C2×#1044 | — | 2 | 2 | no | — |
| 169 | C2×#1044 | — | 4 | 2 | no | — |
| 170 | C2×#1044 | — | 4 | 2 | no | — |
| 171 | C2×#1044 | — | 4 | 1 | no | — |
| 172 | C2×#1043 | — | 2 | 2 | no | — |
| 173 | C2×#1043 | — | 4 | 2 | no | — |
| 174 | C2×#1043 | — | 4 | 2 | no | — |
| 175 | C2×#1043 | — | 4 | 1 | no | — |
| 176 | C2×#1042 | — | 4 | 2 | no | — |
| 177 | C2×C5×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 178 | D5⋊AGL(1,𝔽5) | — | 8 | 4 | no | — |
| 179 | D5×AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 180 | D5×AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 181 | C2×C4×C52 | — | 2 | 1 | no | — |
| 182 | C2×C4×C52 | C2×C42 | 1 | 1 | yes | characteristic |
| 183 | C2×#1039 | — | 2 | 1 | no | — |
| 184 | C2×#1039 | #117 | 1 | 1 | yes | characteristic |
| 185 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 186 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 187 | C4×C5⋊D5 | C4×D4 | 1 | 2 | yes | — |
| 188 | C4×C5⋊D5 | C4×Q8 | 1 | 2 | yes | — |
| 189 | C2×C5×Dic5 | — | 2 | 2 | no | — |
| 190 | C2×C5×Dic5 | C4×D4 | 1 | 2 | yes | — |
| 191 | C4×C5×D5 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 192 | C4×C5×D5 | #117 | 1 | 2 | yes | — |
| 193 | C4×C5×D5 | C4×D4 | 1 | 2 | yes | — |
| 194 | C4×C5×D5 | C4×Q8 | 1 | 2 | yes | — |
| 195 | #6036 | — | 4 | 1 | no | — |
| 196 | #6036 | — | 4 | 1 | no | — |
| 197 | #6036 | #120 | 1 | 1 | yes | characteristic |
| 198 | #6036 | C22⋊Q8 | 1 | 2 | yes | — |
| 199 | #6036 | #123 | 1 | 1 | yes | characteristic |
| 200 | D5×Dic5 | C22⋊Q8 | 1 | 2 | yes | — |
| 201 | D5×Dic5 | #123 | 1 | 2 | yes | — |
| 202 | D5×Dic5 | #125 | 1 | 2 | yes | — |
| 203 | D5×Dic5 | #126 | 1 | 2 | yes | — |
| 204 | #6032 | — | 2 | 4 | no | — |
| 205 | C5×#170 | — | 2 | 4 | no | — |
| 206 | C23×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 207 | C22×C4×D5 | — | 5 | 2 | no | — |
| 208 | C2×C22⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 209 | C2×C22⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 210 | C2×#704 | — | 10 | 2 | no | — |
| 211 | #4130 | — | 5 | 2 | no | — |
| 212 | #4130 | — | 10 | 2 | no | — |
| 213 | #4130 | — | 10 | 2 | no | — |
| 214 | #4130 | — | 10 | 2 | no | — |
| 215 | #4130 | — | 10 | 2 | no | — |
| 216 | #4130 | — | 10 | 2 | no | — |
| 217 | #4130 | — | 10 | 2 | no | — |
| 218 | #4130 | — | 10 | 2 | no | — |
| 219 | #4130 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 220 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 221 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 222 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 223 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 224 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 225 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 226 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 227 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 228 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 229 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 230 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 231 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 232 | C2×C4⋊AGL(1,𝔽5) | — | 20 | 1 | no | — |
| 233 | C2×C4⋊AGL(1,𝔽5) | — | 20 | 1 | no | — |
| 234 | C2×C4⋊AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 235 | C2×C4×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 236 | C2×C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 237 | D5⋊M16 | — | 5 | 2 | no | — |
| 238 | D5⋊M16 | — | 5 | 4 | no | — |
| 239 | D5⋊M16 | — | 10 | 2 | no | — |
| 240 | D5⋊M16 | — | 10 | 2 | no | — |
| 241 | D5⋊M16 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 242 | C2×#700 | — | 10 | 2 | no | — |
| 243 | C2×D5⋊C8 | — | 5 | 4 | no | — |
| 244 | C2×C5×M16 | — | 5 | 2 | no | — |
| 245 | C5×#117 | — | 5 | 2 | no | — |
| 246 | C5×#117 | — | 5 | 2 | no | — |
| 247 | #4072 | — | 5 | 2 | no | — |
| 248 | #4072 | — | 5 | 2 | no | — |
| 249 | C2×#681 | — | 5 | 2 | no | — |
| 250 | D5×M16 | — | 10 | 2 | no | — |
| 251 | D5×M16 | — | 10 | 2 | no | — |
| 252 | D5×M16 | — | 10 | 2 | no | — |
| 253 | D5×M16 | — | 10 | 2 | no | — |
| 254 | C2×#676 | — | 5 | 4 | no | — |
| 255 | C2×C8×D5 | — | 5 | 4 | no | — |
| 256 | #4038 | — | 10 | 2 | no | — |
| 257 | #4038 | — | 10 | 2 | no | — |
| 258 | D5×C4⋊C4 | — | 10 | 2 | no | — |
| 259 | D5×C4⋊C4 | — | 10 | 2 | no | — |
| 260 | D5×C22⋊C4 | — | 10 | 2 | no | — |
| 261 | D5×C22⋊C4 | — | 10 | 2 | no | — |
| 262 | #4023 | — | 10 | 2 | no | — |
| 263 | #4023 | — | 10 | 2 | no | — |
| 264 | #4018 | — | 5 | 2 | no | — |
| 265 | #4018 | — | 10 | 2 | no | — |
| 266 | #4018 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 267 | C42×D5 | — | 5 | 2 | no | — |
| 268 | C42×D5 | — | 5 | 2 | no | — |
| 269 | C42×D5 | — | 10 | 2 | no | — |
| 270 | C42×D5 | — | 20 | 1 | no | — |
| 271 | (C2×AGL(1,𝔽5))⋊C4 | — | 10 | 4 | no | — |
| 272 | (C2×AGL(1,𝔽5))⋊C4 | — | 10 | 4 | no | — |
| 273 | #3992 | — | 10 | 8 | no | — |
| 274 | C8×AGL(1,𝔽5) | — | 10 | 8 | no | — |
| 275 | #2873 | — | 25 | 1 | no | — |
| 276 | #2317 | — | 25 | 1 | no | — |
| 277 | #1740 | — | 25 | 1 | no | — |
| 278 | #1736 | — | 25 | 2 | no | — |
| 279 | C2×H(3,ℤ/4) | — | 25 | 2 | no | — |
| 280 | C22×C52 | C4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 281 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 282 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 283 | C2×C5⋊D5 | #386 | 1 | 1 | yes | characteristic |
| 284 | C2×C5⋊D5 | #391 | 1 | 1 | yes | characteristic |
| 285 | C2×C5×D5 | — | 4 | 2 | no | — |
| 286 | C2×C5×D5 | #388 | 1 | 2 | yes | — |
| 287 | C2×C5×D5 | #389 | 1 | 2 | yes | — |
| 288 | D52 | — | 2 | 2 | no | — |
| 289 | D52 | — | 2 | 2 | no | — |
| 290 | D52 | — | 4 | 1 | no | — |
| 291 | D52 | — | 4 | 1 | no | — |
| 292 | #1044 | — | 4 | 2 | no | — |
| 293 | #1044 | — | 8 | 1 | no | — |
| 294 | #1043 | — | 4 | 2 | no | — |
| 295 | #1043 | — | 8 | 1 | no | — |
| 296 | #1042 | — | 8 | 2 | no | — |
| 297 | C5×AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 298 | C4×C52 | — | 4 | 1 | no | — |
| 299 | C4×C52 | C4×C4⋊C4 | 1 | 2 | yes | — |
| 300 | #1039 | — | 4 | 1 | no | — |
| 301 | #1039 | #387 | 1 | 2 | yes | — |
| 302 | C5×Dic5 | — | 4 | 2 | no | — |
| 303 | C5×Dic5 | #385 | 1 | 2 | yes | — |
| 304 | C5×Dic5 | #387 | 1 | 2 | yes | — |
| 305 | C23×D5 | — | 5 | 2 | no | — |
| 306 | C22×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 307 | C22×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 308 | C22×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 309 | C22×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 310 | C22×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 311 | C22×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 312 | C22×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 313 | C22×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 314 | C22×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 315 | C22×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 316 | C22×C4×C5 | — | 5 | 2 | no | — |
| 317 | C22×Dic5 | — | 5 | 2 | no | — |
| 318 | C2×C4×D5 | — | 5 | 2 | no | — |
| 319 | C2×C4×D5 | — | 5 | 2 | no | — |
| 320 | C2×C4×D5 | — | 5 | 2 | no | — |
| 321 | C2×C4×D5 | — | 5 | 2 | no | — |
| 322 | C2×C4×D5 | — | 5 | 2 | no | — |
| 323 | C2×C4×D5 | — | 5 | 2 | no | — |
| 324 | C2×C4×D5 | — | 5 | 2 | no | — |
| 325 | C2×C4×D5 | — | 5 | 2 | no | — |
| 326 | C2×C4×D5 | — | 5 | 2 | no | — |
| 327 | C2×C4×D5 | — | 5 | 2 | no | — |
| 328 | C2×C4×D5 | — | 5 | 2 | no | — |
| 329 | C2×C4×D5 | — | 10 | 2 | no | — |
| 330 | C2×C4×D5 | — | 10 | 2 | no | — |
| 331 | C2×C4×D5 | — | 20 | 1 | no | — |
| 332 | C2×C4×D5 | — | 20 | 2 | no | — |
| 333 | C2×C4×D5 | — | 20 | 2 | no | — |
| 334 | C2×C4×D5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 335 | C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 336 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 337 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 338 | C22⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 339 | C22⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 340 | #704 | — | 2 | 2 | no | — |
| 341 | #704 | — | 10 | 4 | no | — |
| 342 | #704 | — | 10 | 2 | no | — |
| 343 | C2×#170 | — | 10 | 4 | no | — |
| 344 | C4⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 345 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 346 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 347 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 348 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 349 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 350 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 351 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 352 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 353 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 354 | C4⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 355 | C4⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 356 | C4⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 357 | C4⋊AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 358 | C4⋊AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 359 | C4⋊AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 360 | C4⋊AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 361 | C4⋊AGL(1,𝔽5) | — | 40 | 8 | no | — |
| 362 | C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 363 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 364 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 365 | C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 366 | C4×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 367 | #700 | — | 2 | 2 | no | — |
| 368 | #700 | — | 10 | 4 | no | — |
| 369 | #700 | — | 10 | 2 | no | — |
| 370 | D5⋊C8 | — | 5 | 4 | no | — |
| 371 | D5⋊C8 | — | 10 | 4 | no | — |
| 372 | D5⋊C8 | C4⋊AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 373 | C5×M16 | — | 10 | 2 | no | — |
| 374 | C5×M16 | — | 10 | 2 | no | — |
| 375 | C2×C5×C8 | — | 5 | 4 | no | — |
| 376 | C5×C4⋊C4 | — | 10 | 2 | no | — |
| 377 | C5×C4⋊C4 | — | 10 | 2 | no | — |
| 378 | C5×C22⋊C4 | — | 10 | 2 | no | — |
| 379 | C5×C22⋊C4 | — | 10 | 2 | no | — |
| 380 | C42×C5 | — | 4 | 1 | no | — |
| 381 | C42×C5 | — | 5 | 2 | no | — |
| 382 | C42×C5 | — | 10 | 2 | no | — |
| 383 | C42×C5 | C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 384 | C22⋊Dic5 | — | 10 | 2 | no | — |
| 385 | C22⋊Dic5 | — | 10 | 2 | no | — |
| 386 | #685 | — | 2 | 2 | no | — |
| 387 | #685 | — | 10 | 2 | no | — |
| 388 | #685 | — | 20 | 2 | no | — |
| 389 | C4⋊Dic5 | — | 10 | 2 | no | — |
| 390 | C4⋊Dic5 | — | 10 | 2 | no | — |
| 391 | #683 | — | 2 | 2 | no | — |
| 392 | #683 | — | 10 | 2 | no | — |
| 393 | #683 | — | 20 | 2 | no | — |
| 394 | C4×Dic5 | — | 5 | 2 | no | — |
| 395 | C4×Dic5 | — | 10 | 2 | no | — |
| 396 | C4×Dic5 | — | 10 | 2 | no | — |
| 397 | C4×Dic5 | — | 10 | 2 | no | — |
| 398 | C4×Dic5 | — | 20 | 1 | no | — |
| 399 | C4×Dic5 | — | 20 | 2 | no | — |
| 400 | C4×Dic5 | — | 20 | 2 | no | — |
| 401 | C4×Dic5 | C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 402 | #681 | — | 10 | 2 | no | — |
| 403 | #681 | — | 10 | 2 | no | — |
| 404 | C2×#168 | — | 5 | 4 | no | — |
| 405 | #676 | — | 10 | 4 | no | — |
| 406 | #676 | — | 10 | 4 | no | — |
| 407 | C8×D5 | — | 10 | 4 | no | — |
| 408 | C8×D5 | — | 10 | 4 | no | — |
| 409 | C22×M16 | — | 25 | 2 | no | — |
| 410 | C2×#117 | — | 25 | 1 | no | — |
| 411 | C2×#117 | — | 25 | 1 | no | — |
| 412 | C2×#117 | — | 25 | 2 | no | — |
| 413 | C22×C4⋊C4 | — | 25 | 1 | no | — |
| 414 | #405 | — | 50 | 4 | no | — |
| 415 | C4×M16 | — | 50 | 2 | no | — |
| 416 | #389 | — | 50 | 2 | no | — |
| 417 | #385 | — | 50 | 2 | no | — |
| 418 | #384 | — | 25 | 1 | no | — |
| 419 | #384 | — | 25 | 1 | no | — |
| 420 | #382 | — | 25 | 1 | no | — |
| 421 | #382 | — | 25 | 1 | no | — |
| 422 | #342 | — | 50 | 2 | no | — |
| 423 | #340 | — | 50 | 4 | no | — |
| 424 | H(3,ℤ/4) | — | 5 | 2 | no | — |
| 425 | H(3,ℤ/4) | — | 25 | 2 | no | — |
| 426 | H(3,ℤ/4) | — | 25 | 2 | no | — |
| 427 | H(3,ℤ/4) | — | 25 | 2 | no | — |
| 428 | C2×C52 | — | 2 | 1 | no | — |
| 429 | C2×C52 | #1436 | 1 | 1 | yes | characteristic |
| 430 | C5⋊D5 | — | 2 | 1 | no | — |
| 431 | C5⋊D5 | #1909 | 1 | 1 | yes | characteristic |
| 432 | C5⋊D5 | #1910 | 1 | 1 | yes | characteristic |
| 433 | C5×D5 | — | 2 | 2 | no | — |
| 434 | C5×D5 | — | 2 | 2 | no | — |
| 435 | C23×C5 | — | 5 | 2 | no | — |
| 436 | C22×D5 | — | 5 | 2 | no | — |
| 437 | C22×D5 | — | 5 | 2 | no | — |
| 438 | C22×D5 | — | 5 | 2 | no | — |
| 439 | C22×D5 | — | 5 | 2 | no | — |
| 440 | C22×D5 | — | 5 | 2 | no | — |
| 441 | C22×D5 | — | 20 | 1 | no | — |
| 442 | C22×D5 | — | 20 | 2 | no | — |
| 443 | C22×D5 | — | 20 | 2 | no | — |
| 444 | C22×D5 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 445 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 446 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 447 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 448 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 449 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 450 | C2×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 451 | C2×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 452 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 453 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 454 | C2×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 455 | C2×AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 456 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 457 | C2×AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 458 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 459 | C2×AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 460 | C2×AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 461 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 462 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 463 | C2×C4×C5 | — | 2 | 2 | no | — |
| 464 | C2×C4×C5 | — | 4 | 2 | no | — |
| 465 | C2×C4×C5 | — | 4 | 1 | no | — |
| 466 | C2×C4×C5 | — | 5 | 2 | no | — |
| 467 | C2×C4×C5 | — | 5 | 2 | no | — |
| 468 | C2×C4×C5 | — | 5 | 2 | no | — |
| 469 | C2×C4×C5 | — | 5 | 2 | no | — |
| 470 | C2×C4×C5 | — | 5 | 2 | no | — |
| 471 | C2×C4×C5 | — | 10 | 2 | no | — |
| 472 | C2×C4×C5 | — | 20 | 2 | no | — |
| 473 | C2×C4×C5 | C2×C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 474 | C2×Dic5 | — | 2 | 2 | no | — |
| 475 | C2×Dic5 | — | 5 | 2 | no | — |
| 476 | C2×Dic5 | — | 5 | 2 | no | — |
| 477 | C2×Dic5 | — | 5 | 2 | no | — |
| 478 | C2×Dic5 | — | 5 | 2 | no | — |
| 479 | C2×Dic5 | — | 5 | 2 | no | — |
| 480 | C2×Dic5 | — | 10 | 2 | no | — |
| 481 | C2×Dic5 | — | 20 | 1 | no | — |
| 482 | C2×Dic5 | — | 20 | 2 | no | — |
| 483 | C2×Dic5 | — | 20 | 2 | no | — |
| 484 | C2×Dic5 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 485 | C4×D5 | — | 5 | 2 | no | — |
| 486 | C4×D5 | — | 5 | 2 | no | — |
| 487 | C4×D5 | — | 5 | 2 | no | — |
| 488 | C4×D5 | — | 5 | 2 | no | — |
| 489 | C4×D5 | — | 5 | 2 | no | — |
| 490 | C4×D5 | — | 5 | 2 | no | — |
| 491 | C4×D5 | — | 5 | 2 | no | — |
| 492 | C4×D5 | — | 5 | 2 | no | — |
| 493 | C4×D5 | — | 5 | 2 | no | — |
| 494 | C4×D5 | — | 5 | 2 | no | — |
| 495 | C4×D5 | — | 5 | 2 | no | — |
| 496 | C4×D5 | — | 5 | 2 | no | — |
| 497 | C4×D5 | — | 20 | 2 | no | — |
| 498 | C4×D5 | — | 20 | 2 | no | — |
| 499 | C4×D5 | — | 20 | 2 | no | — |
| 500 | C4×D5 | — | 20 | 2 | no | — |
| 501 | C4×D5 | — | 20 | 2 | no | — |
| 502 | C4×D5 | — | 20 | 2 | no | — |
| 503 | C4×D5 | — | 20 | 4 | no | — |
| 504 | C4×D5 | — | 20 | 4 | no | — |
| 505 | C4×D5 | — | 40 | 2 | no | — |
| 506 | C4×D5 | — | 40 | 2 | no | — |
| 507 | C4×D5 | C2×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 508 | C4×D5 | #4130 | 1 | 2 | yes | — |
| 509 | C4×D5 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 510 | C4×D5 | Q8×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 511 | #170 | — | 2 | 4 | no | — |
| 512 | #170 | — | 10 | 4 | no | — |
| 513 | C5×C8 | — | 10 | 4 | no | — |
| 514 | #168 | — | 10 | 4 | no | — |
| 515 | C23×C4 | — | 25 | 1 | no | — |
| 516 | C23×C4 | — | 50 | 1 | no | — |
| 517 | C2×M16 | — | 5 | 2 | no | — |
| 518 | C2×M16 | — | 25 | 4 | no | — |
| 519 | C2×M16 | — | 25 | 2 | no | — |
| 520 | C2×M16 | — | 50 | 2 | no | — |
| 521 | C2×M16 | — | 50 | 2 | no | — |
| 522 | C2×M16 | — | 50 | 2 | no | — |
| 523 | C2×M16 | — | 50 | 2 | no | — |
| 524 | C22×C8 | — | 25 | 4 | no | — |
| 525 | #117 | — | 5 | 2 | no | — |
| 526 | #117 | — | 5 | 2 | no | — |
| 527 | #117 | — | 25 | 2 | no | — |
| 528 | #117 | — | 25 | 2 | no | — |
| 529 | #117 | — | 50 | 2 | no | — |
| 530 | #117 | — | 50 | 2 | no | — |
| 531 | #117 | — | 50 | 2 | no | — |
| 532 | #117 | — | 50 | 2 | no | — |
| 533 | #117 | — | 50 | 2 | no | — |
| 534 | #117 | — | 50 | 2 | no | — |
| 535 | C2×C4⋊C4 | — | 25 | 1 | no | — |
| 536 | C2×C4⋊C4 | — | 25 | 1 | no | — |
| 537 | C2×C4⋊C4 | — | 25 | 1 | no | — |
| 538 | C2×C4⋊C4 | — | 25 | 1 | no | — |
| 539 | C2×C4⋊C4 | — | 50 | 1 | no | — |
| 540 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 541 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 542 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 543 | C2×C4⋊C4 | — | 50 | 1 | no | — |
| 544 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 545 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 546 | C2×C22⋊C4 | — | 25 | 2 | no | — |
| 547 | C2×C22⋊C4 | — | 50 | 1 | no | — |
| 548 | C2×C22⋊C4 | — | 50 | 2 | no | — |
| 549 | C2×C42 | — | 25 | 1 | no | — |
| 550 | C2×C42 | — | 25 | 1 | no | — |
| 551 | C2×C42 | — | 25 | 2 | no | — |
| 552 | C2×C42 | — | 50 | 2 | no | — |
| 553 | #97 | — | 50 | 4 | no | — |
| 554 | C4×C8 | — | 50 | 4 | no | — |
| 555 | #95 | — | 50 | 2 | no | — |
| 556 | #95 | — | 50 | 2 | no | — |
| 557 | C52 | #10889 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 558 | C22×C5 | — | 4 | 1 | no | — |
| 559 | C22×C5 | — | 5 | 2 | no | — |
| 560 | C22×C5 | — | 5 | 2 | no | — |
| 561 | C22×C5 | — | 20 | 2 | no | — |
| 562 | C22×C5 | C22⋊C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 563 | C2×D5 | — | 4 | 2 | no | — |
| 564 | C2×D5 | — | 5 | 2 | no | — |
| 565 | C2×D5 | — | 5 | 2 | no | — |
| 566 | C2×D5 | — | 10 | 2 | no | — |
| 567 | C2×D5 | — | 10 | 2 | no | — |
| 568 | C2×D5 | — | 10 | 2 | no | — |
| 569 | C2×D5 | — | 10 | 2 | no | — |
| 570 | C2×D5 | — | 10 | 2 | no | — |
| 571 | C2×D5 | — | 10 | 2 | no | — |
| 572 | C2×D5 | — | 20 | 1 | no | — |
| 573 | C2×D5 | — | 20 | 1 | no | — |
| 574 | C2×D5 | — | 20 | 2 | no | — |
| 575 | C2×D5 | — | 20 | 2 | no | — |
| 576 | C2×D5 | — | 20 | 2 | no | — |
| 577 | C2×D5 | — | 20 | 2 | no | — |
| 578 | C2×D5 | #65700 | 1 | 2 | yes | — |
| 579 | C2×D5 | #65712 | 1 | 2 | yes | — |
| 580 | AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 581 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 582 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 583 | AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 584 | AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 585 | AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 586 | AGL(1,𝔽5) | — | 80 | 2 | no | — |
| 587 | AGL(1,𝔽5) | — | 80 | 2 | no | — |
| 588 | C4×C5 | — | 4 | 2 | no | — |
| 589 | C4×C5 | — | 4 | 4 | no | — |
| 590 | C4×C5 | — | 4 | 2 | no | — |
| 591 | C4×C5 | — | 5 | 2 | no | — |
| 592 | C4×C5 | — | 5 | 2 | no | — |
| 593 | C4×C5 | — | 20 | 2 | no | — |
| 594 | C4×C5 | — | 40 | 2 | no | — |
| 595 | C4×C5 | C4×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 596 | C4×C5 | C4⋊C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 597 | Dic5 | — | 4 | 2 | no | — |
| 598 | Dic5 | — | 5 | 2 | no | — |
| 599 | Dic5 | — | 5 | 2 | no | — |
| 600 | Dic5 | — | 20 | 2 | no | — |
| 601 | Dic5 | — | 20 | 2 | no | — |
| 602 | Dic5 | — | 20 | 4 | no | — |
| 603 | Dic5 | — | 40 | 2 | no | — |
| 604 | Dic5 | #65699 | 1 | 2 | yes | — |
| 605 | Dic5 | #65711 | 1 | 2 | yes | — |
| 606 | C24 | — | 25 | 1 | no | — |
| 607 | C22×C4 | — | 5 | 2 | no | — |
| 608 | C22×C4 | — | 25 | 1 | no | — |
| 609 | C22×C4 | — | 25 | 2 | no | — |
| 610 | C22×C4 | — | 25 | 2 | no | — |
| 611 | C22×C4 | — | 25 | 2 | no | — |
| 612 | C22×C4 | — | 25 | 2 | no | — |
| 613 | C22×C4 | — | 25 | 2 | no | — |
| 614 | C22×C4 | — | 25 | 1 | no | — |
| 615 | C22×C4 | — | 25 | 2 | no | — |
| 616 | C22×C4 | — | 25 | 2 | no | — |
| 617 | C22×C4 | — | 50 | 1 | no | — |
| 618 | C22×C4 | — | 50 | 1 | no | — |
| 619 | C22×C4 | — | 50 | 1 | no | — |
| 620 | C22×C4 | — | 50 | 1 | no | — |
| 621 | C22×C4 | — | 100 | 2 | no | — |
| 622 | C22×C4 | — | 100 | 2 | no | — |
| 623 | C22×C4 | — | 200 | 2 | no | — |
| 624 | M16 | — | 10 | 2 | no | — |
| 625 | M16 | — | 10 | 2 | no | — |
| 626 | M16 | — | 50 | 4 | no | — |
| 627 | M16 | — | 50 | 4 | no | — |
| 628 | M16 | — | 50 | 2 | no | — |
| 629 | M16 | — | 50 | 2 | no | — |
| 630 | C2×C8 | — | 5 | 4 | no | — |
| 631 | C2×C8 | — | 25 | 4 | no | — |
| 632 | C2×C8 | — | 50 | 4 | no | — |
| 633 | C2×C8 | — | 50 | 4 | no | — |
| 634 | C4⋊C4 | — | 10 | 2 | no | — |
| 635 | C4⋊C4 | — | 10 | 2 | no | — |
| 636 | C4⋊C4 | — | 50 | 2 | no | — |
| 637 | C4⋊C4 | — | 50 | 2 | no | — |
| 638 | C4⋊C4 | — | 50 | 2 | no | — |
| 639 | C4⋊C4 | — | 50 | 2 | no | — |
| 640 | C4⋊C4 | — | 50 | 2 | no | — |
| 641 | C4⋊C4 | — | 50 | 2 | no | — |
| 642 | C4⋊C4 | — | 100 | 2 | no | — |
| 643 | C4⋊C4 | — | 100 | 1 | no | — |
| 644 | C4⋊C4 | — | 100 | 1 | no | — |
| 645 | C4⋊C4 | — | 200 | 2 | no | — |
| 646 | C4⋊C4 | — | 200 | 2 | no | — |
| 647 | C22⋊C4 | — | 10 | 2 | no | — |
| 648 | C22⋊C4 | — | 10 | 2 | no | — |
| 649 | C22⋊C4 | — | 50 | 2 | no | — |
| 650 | C22⋊C4 | — | 50 | 4 | no | — |
| 651 | C22⋊C4 | — | 50 | 2 | no | — |
| 652 | C22⋊C4 | — | 100 | 2 | no | — |
| 653 | C42 | — | 5 | 2 | no | — |
| 654 | C42 | — | 10 | 2 | no | — |
| 655 | C42 | — | 25 | 1 | no | — |
| 656 | C42 | — | 50 | 1 | no | — |
| 657 | C42 | — | 50 | 2 | no | — |
| 658 | C42 | — | 50 | 1 | no | — |
| 659 | C42 | — | 50 | 2 | no | — |
| 660 | C42 | — | 50 | 2 | no | — |
| 661 | C42 | — | 100 | 2 | no | — |
| 662 | C42 | AGL(1,𝔽5)2 | 1 | 1 | yes | characteristic |
| 663 | C2×C5 | — | 2 | 2 | no | — |
| 664 | C2×C5 | — | 4 | 2 | no | — |
| 665 | C2×C5 | — | 4 | 1 | no | — |
| 666 | C2×C5 | — | 10 | 2 | no | — |
| 667 | C2×C5 | — | 10 | 2 | no | — |
| 668 | C2×C5 | #10603801 | 1 | 2 | yes | — |
| 669 | D5 | — | 2 | 2 | no | — |
| 670 | D5 | — | 2 | 2 | no | — |
| 671 | D5 | — | 5 | 2 | no | — |
| 672 | D5 | — | 5 | 2 | no | — |
| 673 | D5 | — | 10 | 2 | no | — |
| 674 | D5 | — | 20 | 1 | no | — |
| 675 | D5 | — | 20 | 1 | no | — |
| 676 | D5 | — | 20 | 2 | no | — |
| 677 | C23 | — | 5 | 2 | no | — |
| 678 | C23 | — | 25 | 2 | no | — |
| 679 | C23 | — | 25 | 1 | no | — |
| 680 | C23 | — | 25 | 1 | no | — |
| 681 | C23 | — | 25 | 1 | no | — |
| 682 | C23 | — | 100 | 1 | no | — |
| 683 | C23 | — | 100 | 1 | no | — |
| 684 | C2×C4 | — | 2 | 1 | no | — |
| 685 | C2×C4 | — | 5 | 2 | no | — |
| 686 | C2×C4 | — | 5 | 2 | no | — |
| 687 | C2×C4 | — | 5 | 2 | no | — |
| 688 | C2×C4 | — | 5 | 2 | no | — |
| 689 | C2×C4 | — | 5 | 2 | no | — |
| 690 | C2×C4 | — | 10 | 2 | no | — |
| 691 | C2×C4 | — | 20 | 2 | no | — |
| 692 | C2×C4 | — | 25 | 1 | no | — |
| 693 | C2×C4 | — | 25 | 1 | no | — |
| 694 | C2×C4 | — | 25 | 2 | no | — |
| 695 | C2×C4 | — | 25 | 2 | no | — |
| 696 | C2×C4 | — | 25 | 2 | no | — |
| 697 | C2×C4 | — | 25 | 2 | no | — |
| 698 | C2×C4 | — | 25 | 2 | no | — |
| 699 | C2×C4 | — | 25 | 1 | no | — |
| 700 | C2×C4 | — | 25 | 2 | no | — |
| 701 | C2×C4 | — | 25 | 2 | no | — |
| 702 | C2×C4 | — | 50 | 2 | no | — |
| 703 | C2×C4 | — | 50 | 2 | no | — |
| 704 | C2×C4 | — | 50 | 1 | no | — |
| 705 | C2×C4 | — | 100 | 1 | no | — |
| 706 | C2×C4 | — | 100 | 1 | no | — |
| 707 | C2×C4 | — | 100 | 1 | no | — |
| 708 | C2×C4 | — | 100 | 1 | no | — |
| 709 | C2×C4 | — | 100 | 2 | no | — |
| 710 | C2×C4 | — | 100 | 2 | no | — |
| 711 | C2×C4 | — | 100 | 2 | no | — |
| 712 | C2×C4 | — | 100 | 1 | no | — |
| 713 | C2×C4 | — | 100 | 1 | no | — |
| 714 | C2×C4 | — | 100 | 2 | no | — |
| 715 | C2×C4 | — | 100 | 2 | no | — |
| 716 | C2×C4 | — | 200 | 2 | no | — |
| 717 | C2×C4 | — | 200 | 2 | no | — |
| 718 | C2×C4 | — | 200 | 4 | no | — |
| 719 | C2×C4 | C2×AGL(1,𝔽5)2 | 1 | 1 | yes | characteristic |
| 720 | C8 | — | 10 | 4 | no | — |
| 721 | C8 | — | 50 | 4 | no | — |
| 722 | C5 | — | 4 | 1 | no | — |
| 723 | C5 | #13022177 | 1 | 2 | yes | complemented |
| 724 | C22 | — | 5 | 2 | no | — |
| 725 | C22 | — | 5 | 2 | no | — |
| 726 | C22 | — | 20 | 2 | no | — |
| 727 | C22 | — | 25 | 1 | no | — |
| 728 | C22 | — | 25 | 1 | no | — |
| 729 | C22 | — | 50 | 1 | no | — |
| 730 | C22 | — | 50 | 1 | no | — |
| 731 | C22 | — | 50 | 2 | no | — |
| 732 | C22 | — | 50 | 2 | no | — |
| 733 | C22 | — | 100 | 1 | no | — |
| 734 | C22 | — | 100 | 1 | no | — |
| 735 | C22 | #13107468 | 1 | 1 | yes | characteristic |
| 736 | C4 | — | 4 | 1 | no | — |
| 737 | C4 | — | 5 | 2 | no | — |
| 738 | C4 | — | 5 | 2 | no | — |
| 739 | C4 | — | 20 | 2 | no | — |
| 740 | C4 | — | 25 | 2 | no | — |
| 741 | C4 | — | 40 | 2 | no | — |
| 742 | C4 | — | 100 | 1 | no | — |
| 743 | C4 | — | 100 | 2 | no | — |
| 744 | C4 | — | 100 | 2 | no | — |
| 745 | C4 | — | 200 | 2 | no | — |
| 746 | C4 | — | 200 | 1 | no | — |
| 747 | C4 | — | 200 | 1 | no | — |
| 748 | C4 | AGL(1,𝔽5)×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 749 | C2 | — | 2 | 1 | no | — |
| 750 | C2 | — | 10 | 2 | no | — |
| 751 | C2 | — | 10 | 2 | no | — |
| 752 | C2 | — | 25 | 1 | no | — |
| 753 | C2 | — | 25 | 1 | no | — |
| 754 | C2 | — | 50 | 1 | no | — |
| 755 | C2 | #72221607 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 13. #13104827 | C4 | semidirect |
| 14. #13104700 | C4 | semidirect |
| 16. #13104003 | C4 | semidirect |
| 18. #13103882 | C4 | semidirect |
| 21. #13100147 | C4 | semidirect |
| 22. C5×#64863 | C4 | semidirect |
| 23. #13099782 | C4 | semidirect |
| 24. #13099780 | C4 | semidirect |
| 103. D5⋊#168 | C4⋊C4 | semidirect |
| 109. C5×D5⋊C8 | C4⋊C4 | semidirect |
| 155. #64863 | AGL(1,𝔽5) | semidirect |
| 372. D5⋊C8 | C4⋊AGL(1,𝔽5) | semidirect |
| 557. C52 | #10889 | semidirect |
| 723. C5 | #13022177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72221524 | 2 |
| #72221512 | 2 |
| #72221505 | 2 |
| #72221503 | 2 |
| #72221490 | 2 |
| #13022177 | 5 |