Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
890 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 890 conjugacy classes of subgroups — too many to draw. Only its 92 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×SD16×C5⋊D5 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13104927 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13104923 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13104916 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #13104909 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #13104862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13104856 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×Q8×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×D4×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 10 | #11717451 | C22 | 1 | 1 | yes | characteristic |
| 11 | #11717448 | C22 | 1 | 1 | yes | characteristic |
| 12 | #11717448 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11717448 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C52×SD16 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | C2×#87811 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | C2×#87810 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | SD16×C5⋊D5 | — | 2 | 1 | no | — |
| 18 | SD16×C5⋊D5 | — | 2 | 1 | no | — |
| 19 | SD16×C5⋊D5 | — | 2 | 1 | no | — |
| 20 | SD16×C5⋊D5 | — | 2 | 1 | no | — |
| 21 | C2×#87800 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×C8×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11716906 | — | 2 | 2 | no | — |
| 24 | #11716902 | — | 2 | 2 | no | — |
| 25 | #11716900 | — | 2 | 2 | no | — |
| 26 | #11716898 | — | 2 | 2 | no | — |
| 27 | #11716889 | — | 2 | 1 | no | — |
| 28 | #11716888 | — | 2 | 1 | no | — |
| 29 | #11716885 | — | 2 | 1 | no | — |
| 30 | C8×#1044 | — | 2 | 1 | no | — |
| 31 | #10604828 | — | 5 | 2 | no | maximal |
| 32 | C23×C5⋊D5 | — | 2 | 1 | no | — |
| 33 | C2×C52×Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C2×C52×D4 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 36 | Q8×C5⋊D5 | — | 2 | 1 | no | — |
| 37 | Q8×C5⋊D5 | — | 2 | 1 | no | — |
| 38 | Q8×C5⋊D5 | — | 2 | 1 | no | — |
| 39 | Q8×C5⋊D5 | — | 2 | 1 | no | — |
| 40 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 41 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 42 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 43 | D4×C5⋊D5 | — | 2 | 1 | no | — |
| 44 | C2×C4⋊(C5⋊D5) | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 46 | C2×C4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 47 | C2×#6045 | — | 2 | 1 | no | — |
| 48 | C2×#6045 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C22⋊#1044 | — | 2 | 1 | no | — |
| 50 | #87867 | — | 2 | 1 | no | — |
| 51 | #87867 | — | 2 | 1 | no | — |
| 52 | #87867 | D4 | 1 | 2 | yes | — |
| 53 | C4⋊#1044 | D4 | 1 | 2 | yes | — |
| 54 | C4×#1044 | — | 2 | 1 | no | — |
| 55 | #87863 | — | 2 | 1 | no | — |
| 56 | #87863 | — | 2 | 1 | no | — |
| 57 | #87863 | — | 2 | 1 | no | — |
| 58 | #87862 | — | 2 | 1 | no | — |
| 59 | #87862 | — | 2 | 1 | no | — |
| 60 | #87862 | — | 2 | 1 | no | — |
| 61 | C52×SD16 | — | 2 | 1 | no | — |
| 62 | C52×SD16 | — | 2 | 1 | no | — |
| 63 | C2×C52×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | #87811 | — | 2 | 1 | no | — |
| 65 | #87811 | — | 2 | 1 | no | — |
| 66 | #87810 | — | 2 | 1 | no | — |
| 67 | #87810 | — | 2 | 1 | no | — |
| 68 | C2×#6029 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | #87800 | — | 2 | 1 | no | — |
| 70 | #87800 | — | 2 | 1 | no | — |
| 71 | C8×C5⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 72 | C8×C5⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 73 | C8×C5⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 74 | C8×C5⋊D5 | D4 | 1 | 1 | yes | characteristic |
| 75 | C2×D5×SD16 | — | 5 | 2 | no | — |
| 76 | C2×D5×SD16 | — | 10 | 2 | no | — |
| 77 | D5⋊#101 | — | 5 | 2 | no | — |
| 78 | #65782 | — | 5 | 2 | no | — |
| 79 | D5⋊#100 | — | 5 | 2 | no | — |
| 80 | #65767 | — | 5 | 2 | no | — |
| 81 | D5⋊#108 | — | 5 | 2 | no | — |
| 82 | #65718 | — | 5 | 2 | no | — |
| 83 | C23×C52 | — | 2 | 1 | no | — |
| 84 | C22×C5⋊D5 | — | 2 | 1 | no | — |
| 85 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 86 | C22×C5⋊D5 | — | 4 | 1 | no | — |
| 87 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 88 | C22×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 89 | C2×#1044 | — | 2 | 2 | no | — |
| 90 | C52×Q8 | — | 2 | 1 | no | — |
| 91 | C52×Q8 | — | 2 | 1 | no | — |
| 92 | C52×D4 | — | 2 | 1 | no | — |
| 93 | C52×D4 | — | 2 | 1 | no | — |
| 94 | C2×C4×C52 | — | 2 | 1 | no | — |
| 95 | C2×C4×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 96 | C22⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 97 | C22⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 98 | C2×#1039 | — | 2 | 1 | no | — |
| 99 | C2×#1039 | C2×D4 | 1 | 1 | yes | characteristic |
| 100 | C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 101 | C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 102 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 103 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 104 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C4×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 108 | #6045 | — | 2 | 1 | no | — |
| 109 | #6045 | — | 2 | 1 | no | — |
| 110 | #6045 | — | 4 | 1 | no | — |
| 111 | #6045 | — | 4 | 1 | no | — |
| 112 | #6034 | — | 2 | 2 | no | — |
| 113 | #6034 | — | 4 | 1 | no | — |
| 114 | #6034 | — | 4 | 1 | no | — |
| 115 | C52×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 116 | C52×C8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 117 | #6029 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 118 | #6029 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 119 | C2×Q8×D5 | — | 5 | 2 | no | — |
| 120 | C2×Q8×D5 | — | 10 | 2 | no | — |
| 121 | C2×D4×D5 | — | 5 | 2 | no | — |
| 122 | C2×D4×D5 | — | 10 | 2 | no | — |
| 123 | #4130 | — | 5 | 2 | no | — |
| 124 | D5⋊M16 | — | 5 | 2 | no | — |
| 125 | D5⋊M16 | — | 5 | 2 | no | — |
| 126 | D5⋊M16 | — | 5 | 2 | no | — |
| 127 | C2×C5×SD16 | — | 2 | 2 | no | — |
| 128 | C2×C5×SD16 | AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 129 | C2×#688 | — | 5 | 2 | no | — |
| 130 | C2×#688 | — | 10 | 2 | no | — |
| 131 | C2×#687 | — | 5 | 2 | no | — |
| 132 | C2×#687 | — | 10 | 2 | no | — |
| 133 | D5×SD16 | — | 10 | 2 | no | — |
| 134 | D5×SD16 | — | 10 | 2 | no | — |
| 135 | D5×SD16 | — | 10 | 2 | no | — |
| 136 | D5×SD16 | — | 10 | 2 | no | — |
| 137 | D5×SD16 | — | 10 | 4 | no | — |
| 138 | D5×SD16 | — | 10 | 4 | no | — |
| 139 | D5×SD16 | — | 10 | 4 | no | — |
| 140 | D5×SD16 | — | 10 | 4 | no | — |
| 141 | C2×#677 | — | 5 | 2 | no | — |
| 142 | C2×#677 | — | 10 | 2 | no | — |
| 143 | C2×C8×D5 | — | 5 | 2 | no | — |
| 144 | C2×C8×D5 | — | 10 | 2 | no | — |
| 145 | #4013 | — | 10 | 4 | no | — |
| 146 | #4009 | — | 10 | 4 | no | — |
| 147 | #4007 | — | 10 | 4 | no | — |
| 148 | #4005 | — | 10 | 4 | no | — |
| 149 | #3996 | — | 10 | 2 | no | — |
| 150 | #3995 | — | 10 | 2 | no | — |
| 151 | #3992 | — | 10 | 2 | no | — |
| 152 | C8×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 153 | #1977 | — | 25 | 1 | no | Sylow |
| 154 | C22×C52 | — | 4 | 1 | no | — |
| 155 | C22×C52 | — | 8 | 1 | no | — |
| 156 | C22×C52 | C4×D4 | 1 | 1 | yes | characteristic |
| 157 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 158 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 159 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 160 | C2×C5⋊D5 | — | 8 | 2 | no | — |
| 161 | C2×C5⋊D5 | — | 8 | 1 | no | — |
| 162 | C2×C5⋊D5 | #121 | 1 | 1 | yes | characteristic |
| 163 | C2×C5⋊D5 | #124 | 1 | 1 | yes | characteristic |
| 164 | #1044 | — | 4 | 2 | no | — |
| 165 | C4×C52 | — | 4 | 1 | no | — |
| 166 | C4×C52 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 167 | C4×C52 | C4×D4 | 1 | 1 | yes | characteristic |
| 168 | #1039 | — | 4 | 1 | no | — |
| 169 | #1039 | #121 | 1 | 1 | yes | characteristic |
| 170 | #1039 | #127 | 1 | 1 | yes | characteristic |
| 171 | C23×D5 | — | 10 | 2 | no | — |
| 172 | C23×D5 | — | 20 | 2 | no | — |
| 173 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 174 | C2×C5×Q8 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 175 | C2×C5×D4 | — | 2 | 2 | no | — |
| 176 | C2×C5×D4 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 177 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 178 | C2×C22⋊D5 | — | 20 | 2 | no | — |
| 179 | Q8×D5 | — | 10 | 2 | no | — |
| 180 | Q8×D5 | — | 10 | 2 | no | — |
| 181 | Q8×D5 | — | 10 | 2 | no | — |
| 182 | Q8×D5 | — | 10 | 2 | no | — |
| 183 | Q8×D5 | — | 10 | 4 | no | — |
| 184 | Q8×D5 | — | 10 | 4 | no | — |
| 185 | Q8×D5 | — | 20 | 2 | no | — |
| 186 | Q8×D5 | — | 20 | 2 | no | — |
| 187 | D4×D5 | — | 10 | 2 | no | — |
| 188 | D4×D5 | — | 10 | 2 | no | — |
| 189 | D4×D5 | — | 10 | 2 | no | — |
| 190 | D4×D5 | — | 10 | 2 | no | — |
| 191 | D4×D5 | — | 10 | 4 | no | — |
| 192 | D4×D5 | — | 10 | 4 | no | — |
| 193 | D4×D5 | — | 20 | 2 | no | — |
| 194 | D4×D5 | — | 20 | 2 | no | — |
| 195 | C2×D20 | — | 5 | 2 | no | — |
| 196 | C2×D20 | — | 10 | 2 | no | — |
| 197 | C2×C4×D5 | — | 5 | 2 | no | — |
| 198 | C2×C4×D5 | — | 10 | 2 | no | — |
| 199 | C2×C4×D5 | — | 10 | 2 | no | — |
| 200 | C2×C4×D5 | — | 20 | 2 | no | — |
| 201 | C2×Dic10 | — | 5 | 2 | no | — |
| 202 | C2×Dic10 | — | 10 | 2 | no | — |
| 203 | C2×Dic10 | — | 10 | 2 | no | — |
| 204 | C2×Dic10 | — | 20 | 2 | no | — |
| 205 | C22⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 206 | #704 | — | 5 | 4 | no | — |
| 207 | #704 | — | 10 | 2 | no | — |
| 208 | #704 | — | 10 | 2 | no | — |
| 209 | C4⋊AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 210 | C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 211 | #700 | — | 10 | 2 | no | — |
| 212 | #700 | — | 10 | 2 | no | — |
| 213 | #700 | — | 10 | 2 | no | — |
| 214 | D5⋊C8 | — | 10 | 2 | no | — |
| 215 | D5⋊C8 | — | 10 | 2 | no | — |
| 216 | D5⋊C8 | — | 10 | 2 | no | — |
| 217 | C5×SD16 | — | 2 | 4 | no | — |
| 218 | C5×SD16 | — | 2 | 4 | no | — |
| 219 | C5×SD16 | — | 2 | 2 | no | — |
| 220 | C5×SD16 | — | 2 | 2 | no | — |
| 221 | C2×C5×C8 | — | 2 | 2 | no | — |
| 222 | C2×C5×C8 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 223 | #688 | — | 10 | 2 | no | — |
| 224 | #688 | — | 10 | 2 | no | — |
| 225 | #688 | — | 10 | 4 | no | — |
| 226 | #688 | — | 10 | 4 | no | — |
| 227 | #687 | — | 10 | 2 | no | — |
| 228 | #687 | — | 10 | 2 | no | — |
| 229 | #687 | — | 10 | 4 | no | — |
| 230 | #687 | — | 10 | 4 | no | — |
| 231 | C2×#168 | — | 5 | 2 | no | — |
| 232 | C2×#168 | — | 10 | 2 | no | — |
| 233 | #677 | — | 10 | 4 | no | — |
| 234 | #677 | — | 10 | 4 | no | — |
| 235 | #677 | — | 10 | 2 | no | — |
| 236 | #677 | — | 10 | 2 | no | — |
| 237 | C8×D5 | — | 5 | 2 | no | — |
| 238 | C8×D5 | — | 5 | 2 | no | — |
| 239 | C8×D5 | — | 5 | 2 | no | — |
| 240 | C8×D5 | — | 5 | 2 | no | — |
| 241 | C8×D5 | — | 10 | 2 | no | — |
| 242 | C8×D5 | — | 10 | 2 | no | — |
| 243 | C8×D5 | — | 10 | 2 | no | — |
| 244 | C8×D5 | — | 10 | 2 | no | — |
| 245 | C22×SD16 | — | 25 | 1 | no | — |
| 246 | C2×#108 | — | 25 | 1 | no | — |
| 247 | #419 | — | 25 | 1 | no | — |
| 248 | #418 | — | 25 | 1 | no | — |
| 249 | C2×#101 | — | 25 | 1 | no | — |
| 250 | C2×#100 | — | 25 | 1 | no | — |
| 251 | #405 | — | 25 | 1 | no | — |
| 252 | C2×C52 | — | 2 | 1 | no | — |
| 253 | C2×C52 | — | 8 | 1 | no | — |
| 254 | C2×C52 | #390 | 1 | 1 | yes | characteristic |
| 255 | C5⋊D5 | — | 2 | 1 | no | — |
| 256 | C5⋊D5 | — | 8 | 1 | no | — |
| 257 | C5⋊D5 | #471 | 1 | 2 | yes | — |
| 258 | C23×C5 | — | 2 | 2 | no | — |
| 259 | C23×C5 | — | 4 | 2 | no | — |
| 260 | C22×D5 | — | 5 | 2 | no | — |
| 261 | C22×D5 | — | 10 | 2 | no | — |
| 262 | C22×D5 | — | 10 | 2 | no | — |
| 263 | C22×D5 | — | 20 | 2 | no | — |
| 264 | C22×D5 | — | 20 | 2 | no | — |
| 265 | C22×D5 | — | 20 | 2 | no | — |
| 266 | C22×D5 | — | 20 | 4 | no | — |
| 267 | C22×D5 | — | 20 | 4 | no | — |
| 268 | C22×D5 | — | 40 | 8 | no | — |
| 269 | C22×D5 | — | 40 | 4 | no | — |
| 270 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 271 | C5×Q8 | — | 2 | 4 | no | — |
| 272 | C5×Q8 | — | 2 | 2 | no | — |
| 273 | C5×Q8 | — | 2 | 2 | no | — |
| 274 | C5×Q8 | — | 4 | 2 | no | — |
| 275 | C5×D4 | — | 2 | 4 | no | — |
| 276 | C5×D4 | — | 2 | 2 | no | — |
| 277 | C5×D4 | — | 2 | 2 | no | — |
| 278 | C5×D4 | — | 4 | 2 | no | — |
| 279 | C2×C4×C5 | — | 2 | 2 | no | — |
| 280 | C2×C4×C5 | — | 2 | 2 | no | — |
| 281 | C2×C4×C5 | — | 4 | 2 | no | — |
| 282 | C2×C4×C5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 283 | C22⋊D5 | — | 20 | 2 | no | — |
| 284 | C22⋊D5 | — | 20 | 2 | no | — |
| 285 | C22⋊D5 | — | 20 | 4 | no | — |
| 286 | C22⋊D5 | — | 20 | 4 | no | — |
| 287 | C2×Dic5 | — | 5 | 2 | no | — |
| 288 | C2×Dic5 | — | 10 | 2 | no | — |
| 289 | C2×Dic5 | — | 10 | 2 | no | — |
| 290 | C2×Dic5 | — | 20 | 2 | no | — |
| 291 | D20 | — | 10 | 4 | no | — |
| 292 | D20 | — | 10 | 2 | no | — |
| 293 | D20 | — | 10 | 2 | no | — |
| 294 | D20 | — | 20 | 2 | no | — |
| 295 | C4×D5 | — | 5 | 2 | no | — |
| 296 | C4×D5 | — | 5 | 2 | no | — |
| 297 | C4×D5 | — | 5 | 2 | no | — |
| 298 | C4×D5 | — | 5 | 2 | no | — |
| 299 | C4×D5 | — | 10 | 2 | no | — |
| 300 | C4×D5 | — | 10 | 2 | no | — |
| 301 | C4×D5 | — | 10 | 2 | no | — |
| 302 | C4×D5 | — | 10 | 2 | no | — |
| 303 | C4×D5 | — | 20 | 2 | no | — |
| 304 | C4×D5 | — | 20 | 2 | no | — |
| 305 | C4×D5 | — | 20 | 4 | no | — |
| 306 | C4×D5 | — | 20 | 4 | no | — |
| 307 | Dic10 | — | 10 | 4 | no | — |
| 308 | Dic10 | — | 10 | 2 | no | — |
| 309 | Dic10 | — | 10 | 2 | no | — |
| 310 | Dic10 | — | 20 | 2 | no | — |
| 311 | Dic10 | — | 20 | 2 | no | — |
| 312 | Dic10 | — | 20 | 2 | no | — |
| 313 | Dic10 | — | 20 | 4 | no | — |
| 314 | Dic10 | — | 20 | 4 | no | — |
| 315 | #170 | — | 10 | 4 | no | — |
| 316 | #170 | — | 20 | 2 | no | — |
| 317 | #170 | — | 20 | 2 | no | — |
| 318 | C5×C8 | — | 2 | 2 | no | — |
| 319 | C5×C8 | — | 2 | 2 | no | — |
| 320 | C5×C8 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 321 | C5×C8 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 322 | #168 | — | 5 | 2 | no | — |
| 323 | #168 | — | 5 | 2 | no | — |
| 324 | #168 | — | 10 | 2 | no | — |
| 325 | #168 | — | 10 | 2 | no | — |
| 326 | C22×Q8 | — | 25 | 1 | no | — |
| 327 | C22×D4 | — | 25 | 1 | no | — |
| 328 | C2×SD16 | — | 25 | 1 | no | — |
| 329 | C2×SD16 | — | 25 | 1 | no | — |
| 330 | C2×SD16 | — | 25 | 1 | no | — |
| 331 | C2×SD16 | — | 50 | 1 | no | — |
| 332 | C2×SD16 | — | 50 | 1 | no | — |
| 333 | C2×SD16 | — | 50 | 1 | no | — |
| 334 | C2×SD16 | — | 50 | 1 | no | — |
| 335 | C2×SD16 | #1044 | 1 | 1 | yes | characteristic, complemented |
| 336 | C2×M16 | — | 25 | 1 | no | — |
| 337 | C2×M16 | — | 25 | 1 | no | — |
| 338 | C2×M16 | — | 25 | 1 | no | — |
| 339 | C22×C8 | — | 25 | 1 | no | — |
| 340 | #117 | — | 25 | 1 | no | — |
| 341 | #108 | — | 50 | 1 | no | — |
| 342 | #108 | — | 50 | 1 | no | — |
| 343 | #103 | — | 50 | 2 | no | — |
| 344 | #102 | — | 50 | 2 | no | — |
| 345 | #101 | — | 50 | 2 | no | — |
| 346 | #100 | — | 50 | 2 | no | — |
| 347 | #97 | — | 50 | 1 | no | — |
| 348 | C4×C8 | — | 50 | 1 | no | — |
| 349 | C52 | #1977 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 350 | C22×C5 | — | 2 | 2 | no | — |
| 351 | C22×C5 | — | 4 | 4 | no | — |
| 352 | C22×C5 | — | 4 | 2 | no | — |
| 353 | C22×C5 | — | 8 | 2 | no | — |
| 354 | C22×C5 | — | 8 | 4 | no | — |
| 355 | C22×C5 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 356 | C2×D5 | — | 5 | 2 | no | — |
| 357 | C2×D5 | — | 5 | 2 | no | — |
| 358 | C2×D5 | — | 10 | 2 | no | — |
| 359 | C2×D5 | — | 10 | 2 | no | — |
| 360 | C2×D5 | — | 10 | 4 | no | — |
| 361 | C2×D5 | — | 10 | 8 | no | — |
| 362 | C2×D5 | — | 20 | 4 | no | — |
| 363 | C2×D5 | — | 20 | 2 | no | — |
| 364 | C2×D5 | — | 40 | 4 | no | — |
| 365 | C2×D5 | — | 40 | 8 | no | — |
| 366 | C2×D5 | — | 40 | 8 | no | — |
| 367 | C2×D5 | — | 40 | 4 | no | — |
| 368 | C2×D5 | — | 40 | 4 | no | — |
| 369 | C2×D5 | — | 40 | 2 | no | — |
| 370 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 371 | C4×C5 | — | 2 | 2 | no | — |
| 372 | C4×C5 | — | 2 | 2 | no | — |
| 373 | C4×C5 | — | 4 | 4 | no | — |
| 374 | C4×C5 | — | 4 | 2 | no | — |
| 375 | C4×C5 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 376 | C4×C5 | C2×C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 377 | Dic5 | — | 5 | 2 | no | — |
| 378 | Dic5 | — | 5 | 2 | no | — |
| 379 | Dic5 | — | 10 | 2 | no | — |
| 380 | Dic5 | — | 10 | 2 | no | — |
| 381 | Dic5 | — | 20 | 4 | no | — |
| 382 | Dic5 | — | 20 | 2 | no | — |
| 383 | C24 | — | 50 | 1 | no | — |
| 384 | C2×Q8 | — | 25 | 1 | no | — |
| 385 | C2×Q8 | — | 50 | 1 | no | — |
| 386 | C2×Q8 | — | 50 | 1 | no | — |
| 387 | C2×Q8 | — | 50 | 1 | no | — |
| 388 | C2×Q8 | — | 50 | 1 | no | — |
| 389 | C2×Q8 | — | 50 | 1 | no | — |
| 390 | C2×Q8 | C2×#1044 | 1 | 1 | yes | characteristic |
| 391 | C2×D4 | — | 25 | 1 | no | — |
| 392 | C2×D4 | — | 50 | 1 | no | — |
| 393 | C2×D4 | — | 50 | 1 | no | — |
| 394 | C2×D4 | — | 50 | 1 | no | — |
| 395 | C2×D4 | — | 50 | 1 | no | — |
| 396 | C2×D4 | — | 50 | 1 | no | — |
| 397 | C2×D4 | C2×#1044 | 1 | 1 | yes | characteristic |
| 398 | C22×C4 | — | 25 | 1 | no | — |
| 399 | C22×C4 | — | 50 | 1 | no | — |
| 400 | SD16 | — | 2 | 1 | no | — |
| 401 | SD16 | — | 2 | 1 | no | — |
| 402 | SD16 | — | 50 | 1 | no | — |
| 403 | SD16 | — | 50 | 1 | no | — |
| 404 | SD16 | — | 50 | 1 | no | — |
| 405 | SD16 | — | 50 | 1 | no | — |
| 406 | SD16 | — | 50 | 1 | no | — |
| 407 | SD16 | — | 50 | 1 | no | — |
| 408 | M16 | — | 25 | 2 | no | — |
| 409 | M16 | — | 50 | 1 | no | — |
| 410 | M16 | — | 50 | 1 | no | — |
| 411 | M16 | — | 50 | 1 | no | — |
| 412 | M16 | — | 50 | 1 | no | — |
| 413 | M16 | — | 50 | 1 | no | — |
| 414 | C2×C8 | — | 25 | 1 | no | — |
| 415 | C2×C8 | — | 25 | 1 | no | — |
| 416 | C2×C8 | — | 25 | 1 | no | — |
| 417 | C2×C8 | — | 25 | 1 | no | — |
| 418 | C2×C8 | — | 25 | 1 | no | — |
| 419 | C2×C8 | — | 50 | 1 | no | — |
| 420 | C2×C8 | — | 50 | 1 | no | — |
| 421 | C2×C8 | — | 50 | 1 | no | — |
| 422 | C2×C8 | C2×#1044 | 1 | 1 | yes | characteristic |
| 423 | C4⋊C4 | — | 25 | 2 | no | — |
| 424 | C22⋊C4 | — | 50 | 1 | no | — |
| 425 | C42 | — | 50 | 1 | no | — |
| 426 | C2×C5 | — | 2 | 4 | no | — |
| 427 | C2×C5 | — | 2 | 2 | no | — |
| 428 | C2×C5 | — | 2 | 2 | no | — |
| 429 | C2×C5 | — | 8 | 4 | no | — |
| 430 | C2×C5 | — | 8 | 2 | no | — |
| 431 | C2×C5 | #65780 | 1 | 2 | yes | — |
| 432 | D5 | — | 5 | 4 | no | — |
| 433 | D5 | — | 10 | 4 | no | — |
| 434 | D5 | — | 10 | 4 | no | — |
| 435 | D5 | — | 10 | 2 | no | — |
| 436 | D5 | — | 40 | 4 | no | — |
| 437 | D5 | — | 40 | 2 | no | — |
| 438 | C23 | — | 2 | 1 | no | — |
| 439 | C23 | — | 25 | 1 | no | — |
| 440 | C23 | — | 50 | 1 | no | — |
| 441 | C23 | — | 100 | 1 | no | — |
| 442 | C23 | — | 100 | 1 | no | — |
| 443 | C23 | — | 200 | 2 | no | — |
| 444 | Q8 | — | 2 | 1 | no | — |
| 445 | Q8 | — | 2 | 1 | no | — |
| 446 | Q8 | — | 50 | 1 | no | — |
| 447 | Q8 | — | 50 | 1 | no | — |
| 448 | Q8 | — | 100 | 1 | no | — |
| 449 | Q8 | — | 100 | 1 | no | — |
| 450 | D4 | — | 2 | 1 | no | — |
| 451 | D4 | — | 2 | 1 | no | — |
| 452 | D4 | — | 50 | 1 | no | — |
| 453 | D4 | — | 50 | 1 | no | — |
| 454 | D4 | — | 100 | 1 | no | — |
| 455 | D4 | — | 100 | 1 | no | — |
| 456 | C2×C4 | — | 2 | 1 | no | — |
| 457 | C2×C4 | — | 25 | 1 | no | — |
| 458 | C2×C4 | — | 25 | 1 | no | — |
| 459 | C2×C4 | — | 25 | 1 | no | — |
| 460 | C2×C4 | — | 25 | 1 | no | — |
| 461 | C2×C4 | — | 25 | 1 | no | — |
| 462 | C2×C4 | — | 50 | 2 | no | — |
| 463 | C2×C4 | — | 50 | 1 | no | — |
| 464 | C2×C4 | — | 100 | 1 | no | — |
| 465 | C2×C4 | — | 100 | 1 | no | — |
| 466 | C2×C4 | C22×#1044 | 1 | 1 | yes | characteristic |
| 467 | C8 | — | 25 | 1 | no | — |
| 468 | C8 | — | 25 | 1 | no | — |
| 469 | C8 | — | 50 | 2 | no | — |
| 470 | C8 | — | 100 | 1 | no | — |
| 471 | C8 | — | 100 | 1 | no | — |
| 472 | C8 | C22⋊#1044 | 1 | 1 | yes | characteristic |
| 473 | C8 | C22⋊#1044 | 1 | 1 | yes | characteristic |
| 474 | C5 | — | 2 | 2 | no | — |
| 475 | C5 | #10604828 | 1 | 2 | yes | complemented |
| 476 | C22 | — | 4 | 1 | no | — |
| 477 | C22 | — | 8 | 1 | no | — |
| 478 | C22 | — | 25 | 1 | no | — |
| 479 | C22 | — | 25 | 1 | no | — |
| 480 | C22 | — | 50 | 2 | no | — |
| 481 | C22 | — | 100 | 1 | no | — |
| 482 | C22 | — | 200 | 1 | no | — |
| 483 | C22 | — | 200 | 2 | no | — |
| 484 | C22 | — | 200 | 2 | no | — |
| 485 | C22 | D4×#1044 | 1 | 1 | yes | characteristic |
| 486 | C4 | — | 4 | 1 | no | — |
| 487 | C4 | — | 25 | 1 | no | — |
| 488 | C4 | — | 25 | 1 | no | — |
| 489 | C4 | — | 100 | 2 | no | — |
| 490 | C4 | — | 100 | 1 | no | — |
| 491 | C4 | D4×#1044 | 1 | 1 | yes | characteristic |
| 492 | C4 | C2×C22⋊#1044 | 1 | 1 | yes | characteristic |
| 493 | C2 | — | 2 | 1 | no | — |
| 494 | C2 | — | 8 | 1 | no | — |
| 495 | C2 | — | 25 | 2 | no | — |
| 496 | C2 | — | 50 | 1 | no | — |
| 497 | C2 | — | 200 | 1 | no | — |
| 498 | C2 | #13104918 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13104927 | C2 | semidirect |
| 3. #13104923 | C2 | semidirect |
| 6. #13104862 | C2 | semidirect |
| 7. #13104856 | C2 | semidirect |
| 14. C2×C52×SD16 | C4 | semidirect |
| 15. C2×#87811 | C4 | semidirect |
| 16. C2×#87810 | C4 | semidirect |
| 21. C2×#87800 | C4 | semidirect |
| 128. C2×C5×SD16 | AGL(1,𝔽5) | semidirect |
| 335. C2×SD16 | #1044 | semidirect |
| 349. C52 | #1977 | semidirect |
| 475. C5 | #10604828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×SD16×C5⋊D5 | 2 |
| #13104927 | 2 |
| #13104923 | 2 |
| #13104916 | 2 |
| #13104909 | 2 |
| #13104862 | 2 |
| #13104856 | 2 |
| #10604828 | 5 |