Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
2074 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 2074 conjugacy classes of subgroups — too many to draw. Only its 156 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×#11717522 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×#65525 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #13101288 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13101272 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13101266 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×C52×#41 | C22 | 1 | 1 | yes | characteristic |
| 7 | #11717522 | — | 2 | 4 | no | — |
| 8 | #11717522 | — | 2 | 4 | no | — |
| 9 | C2×#87904 | C4 | 1 | 2 | yes | complemented |
| 10 | C2×D4×C5⋊D5 | — | 2 | 2 | no | — |
| 11 | C2×D4×C5⋊D5 | C4 | 1 | 2 | yes | complemented |
| 12 | C2×#87900 | — | 2 | 1 | no | — |
| 13 | C2×#87900 | C22 | 1 | 1 | yes | characteristic |
| 14 | C22×C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 15 | C22×C4⋊(C5⋊D5) | C22 | 1 | 1 | yes | characteristic |
| 16 | C5×#4072 | C22 | 1 | 2 | yes | complemented |
| 17 | C2×C5×#681 | C22 | 1 | 2 | yes | complemented |
| 18 | C5×#3969 | — | 2 | 4 | no | — |
| 19 | #11716622 | — | 2 | 2 | no | — |
| 20 | #11716605 | — | 2 | 4 | no | — |
| 21 | #11716602 | — | 2 | 1 | no | — |
| 22 | #11716600 | — | 2 | 1 | no | — |
| 23 | #10601207 | — | 5 | 2 | no | maximal |
| 24 | C23×C5⋊D5 | — | 2 | 1 | no | — |
| 25 | C23×C5⋊D5 | — | 2 | 2 | no | — |
| 26 | C52×#41 | — | 2 | 2 | no | — |
| 27 | C52×#41 | D4 | 1 | 4 | yes | — |
| 28 | C2×C52×Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 29 | C2×C52×D4 | — | 2 | 1 | no | — |
| 30 | C2×C52×D4 | C2×C4 | 1 | 1 | yes | characteristic |
| 31 | C22×C4×C52 | — | 2 | 1 | no | — |
| 32 | C22×C4×C52 | C23 | 1 | 1 | yes | characteristic |
| 33 | C2×C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 34 | C2×C22⋊(C5⋊D5) | D4 | 1 | 2 | yes | — |
| 35 | #87904 | — | 2 | 4 | no | — |
| 36 | #87904 | — | 2 | 4 | no | — |
| 37 | D4×C5⋊D5 | — | 2 | 16 | no | — |
| 38 | D4×C5⋊D5 | — | 2 | 4 | no | — |
| 39 | D4×C5⋊D5 | — | 2 | 4 | no | — |
| 40 | #87900 | — | 2 | 8 | no | — |
| 41 | #87900 | — | 2 | 2 | no | — |
| 42 | #87900 | — | 2 | 2 | no | — |
| 43 | C2×C4⋊(C5⋊D5) | — | 2 | 8 | no | — |
| 44 | C2×C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 45 | C2×C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 46 | C2×C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 47 | C2×C4⋊(C5⋊D5) | C2×C4 | 1 | 2 | yes | — |
| 48 | C2×C4⋊(C5⋊D5) | D4 | 1 | 1 | yes | characteristic |
| 49 | C2×C4⋊(C5⋊D5) | D4 | 1 | 4 | yes | — |
| 50 | C2×C4×C5⋊D5 | — | 2 | 2 | no | — |
| 51 | C2×C4×C5⋊D5 | C2×C4 | 1 | 2 | yes | — |
| 52 | C2×#6045 | D4 | 1 | 1 | yes | characteristic |
| 53 | C5×C22⋊Dic5 | — | 2 | 2 | no | — |
| 54 | C5×C4⋊Dic5 | — | 2 | 2 | no | — |
| 55 | C4×C5×Dic5 | — | 2 | 2 | no | — |
| 56 | C5×#681 | — | 2 | 2 | no | — |
| 57 | C5×#681 | — | 2 | 2 | no | — |
| 58 | C2×C5×#168 | — | 2 | 2 | no | — |
| 59 | C2×#4149 | — | 5 | 2 | no | — |
| 60 | C2×#4149 | — | 10 | 2 | no | — |
| 61 | C5×#421 | — | 5 | 2 | no | — |
| 62 | #65525 | D5 | 1 | 2 | yes | complemented |
| 63 | #65421 | — | 5 | 2 | no | — |
| 64 | #65420 | — | 5 | 2 | no | — |
| 65 | #65295 | — | 5 | 2 | no | — |
| 66 | #65290 | — | 5 | 2 | no | — |
| 67 | C23×C52 | — | 2 | 1 | no | — |
| 68 | C23×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 69 | C22×C5⋊D5 | — | 2 | 2 | no | — |
| 70 | C22×C5⋊D5 | — | 2 | 8 | no | — |
| 71 | C22×C5⋊D5 | — | 2 | 4 | no | — |
| 72 | C22×C5⋊D5 | — | 8 | 2 | no | — |
| 73 | C22×C5⋊D5 | — | 8 | 4 | no | — |
| 74 | C22×C5⋊D5 | C22⋊C4 | 1 | 2 | yes | — |
| 75 | C52×Q8 | — | 2 | 1 | no | — |
| 76 | C52×Q8 | C22⋊C4 | 1 | 2 | yes | — |
| 77 | C52×D4 | — | 2 | 4 | no | — |
| 78 | C52×D4 | — | 2 | 1 | no | — |
| 79 | C52×D4 | C22⋊C4 | 1 | 2 | yes | — |
| 80 | C2×C4×C52 | — | 2 | 1 | no | — |
| 81 | C2×C4×C52 | — | 2 | 4 | no | — |
| 82 | C2×C4×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 83 | C2×C4×C52 | C2×D4 | 1 | 2 | yes | — |
| 84 | C2×C4×C52 | C2×D4 | 1 | 2 | yes | — |
| 85 | C2×C4×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 86 | C22⋊(C5⋊D5) | — | 2 | 8 | no | — |
| 87 | C22⋊(C5⋊D5) | — | 2 | 4 | no | — |
| 88 | C2×#1039 | C22⋊C4 | 1 | 2 | yes | — |
| 89 | C4⋊(C5⋊D5) | — | 2 | 8 | no | — |
| 90 | C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 91 | C4⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 92 | C4⋊(C5⋊D5) | — | 2 | 4 | no | — |
| 93 | C4⋊(C5⋊D5) | C22⋊C4 | 1 | 4 | yes | — |
| 94 | C4×C5⋊D5 | — | 2 | 8 | no | — |
| 95 | C4×C5⋊D5 | — | 2 | 2 | no | — |
| 96 | C4×C5⋊D5 | — | 2 | 2 | no | — |
| 97 | #6045 | — | 2 | 2 | no | — |
| 98 | C2×C5×Dic5 | — | 4 | 2 | no | — |
| 99 | C5×#168 | — | 4 | 2 | no | — |
| 100 | C2×C5×#41 | — | 2 | 2 | no | — |
| 101 | C2×C5×#41 | C2×D5 | 1 | 2 | yes | — |
| 102 | #4149 | — | 10 | 4 | no | — |
| 103 | #4149 | — | 10 | 4 | no | — |
| 104 | #4149 | — | 10 | 16 | no | — |
| 105 | #4149 | — | 10 | 16 | no | — |
| 106 | #4149 | — | 10 | 4 | no | — |
| 107 | #4149 | — | 10 | 4 | no | — |
| 108 | C2×#713 | — | 5 | 4 | no | — |
| 109 | C2×#713 | — | 10 | 4 | no | — |
| 110 | C2×D4×D5 | — | 5 | 4 | no | — |
| 111 | C2×D4×D5 | — | 10 | 4 | no | — |
| 112 | C2×D4×D5 | — | 10 | 4 | no | — |
| 113 | C2×D4×D5 | — | 10 | 8 | no | — |
| 114 | C2×#709 | — | 5 | 2 | no | — |
| 115 | C2×#709 | — | 10 | 2 | no | — |
| 116 | C2×#709 | — | 10 | 2 | no | — |
| 117 | C2×#709 | — | 10 | 4 | no | — |
| 118 | C22×D20 | — | 5 | 2 | no | — |
| 119 | C22×D20 | — | 10 | 2 | no | — |
| 120 | C22×D20 | — | 10 | 2 | no | — |
| 121 | C22×D20 | — | 10 | 4 | no | — |
| 122 | C2×C5×M16 | — | 5 | 2 | no | — |
| 123 | C5×#117 | — | 5 | 2 | no | — |
| 124 | #4072 | C2×D5 | 1 | 2 | yes | complemented |
| 125 | C2×#681 | C2×D5 | 1 | 2 | yes | complemented |
| 126 | C5×#104 | — | 10 | 4 | no | — |
| 127 | #3969 | — | 2 | 4 | no | — |
| 128 | #3956 | — | 10 | 2 | no | — |
| 129 | #3955 | — | 10 | 2 | no | — |
| 130 | #3953 | — | 10 | 4 | no | — |
| 131 | #3941 | — | 10 | 4 | no | — |
| 132 | #3938 | — | 10 | 4 | no | — |
| 133 | #1795 | — | 25 | 1 | no | Sylow |
| 134 | C22×C52 | — | 2 | 2 | no | — |
| 135 | C22×C52 | — | 4 | 1 | no | — |
| 136 | C22×C52 | — | 4 | 2 | no | — |
| 137 | C22×C52 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 138 | C22×C52 | #120 | 1 | 2 | yes | — |
| 139 | C2×C5⋊D5 | — | 2 | 2 | no | — |
| 140 | C2×C5⋊D5 | — | 2 | 4 | no | — |
| 141 | C2×C5⋊D5 | — | 4 | 4 | no | — |
| 142 | C2×C5⋊D5 | — | 4 | 2 | no | — |
| 143 | C2×C5⋊D5 | — | 8 | 4 | no | — |
| 144 | C2×C5⋊D5 | — | 8 | 8 | no | — |
| 145 | C4×C52 | — | 2 | 2 | no | — |
| 146 | C4×C52 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 147 | C4×C52 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 148 | C4×C52 | #120 | 1 | 2 | yes | — |
| 149 | #1039 | — | 2 | 2 | no | — |
| 150 | C5×Dic5 | — | 8 | 2 | no | — |
| 151 | C23×D5 | — | 10 | 4 | no | — |
| 152 | C23×D5 | — | 10 | 8 | no | — |
| 153 | C23×D5 | — | 10 | 4 | no | — |
| 154 | C23×D5 | — | 10 | 2 | no | — |
| 155 | C5×#41 | — | 2 | 8 | no | — |
| 156 | C5×#41 | — | 2 | 2 | no | — |
| 157 | C5×#41 | — | 2 | 2 | no | — |
| 158 | C5×#41 | — | 2 | 8 | no | — |
| 159 | C5×#41 | D20 | 1 | 4 | yes | — |
| 160 | C5×#41 | C22⋊D5 | 1 | 4 | yes | — |
| 161 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 162 | C2×C5×Q8 | C4×D5 | 1 | 2 | yes | — |
| 163 | C2×C5×D4 | — | 2 | 4 | no | — |
| 164 | C2×C5×D4 | — | 2 | 2 | no | — |
| 165 | C2×C5×D4 | — | 2 | 2 | no | — |
| 166 | C2×C5×D4 | C4×D5 | 1 | 2 | yes | — |
| 167 | C22×C4×C5 | — | 2 | 4 | no | — |
| 168 | C22×C4×C5 | — | 2 | 2 | no | — |
| 169 | C22×C4×C5 | — | 2 | 2 | no | — |
| 170 | C22×C4×C5 | C22×D5 | 1 | 2 | yes | — |
| 171 | C2×C22⋊D5 | — | 5 | 4 | no | — |
| 172 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 173 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 174 | C2×C22⋊D5 | — | 10 | 8 | no | — |
| 175 | #713 | — | 10 | 8 | no | — |
| 176 | #713 | — | 10 | 16 | no | — |
| 177 | #713 | — | 10 | 16 | no | — |
| 178 | #713 | — | 10 | 8 | no | — |
| 179 | D4×D5 | — | 10 | 8 | no | — |
| 180 | D4×D5 | — | 10 | 16 | no | — |
| 181 | D4×D5 | — | 10 | 64 | no | — |
| 182 | D4×D5 | — | 10 | 16 | no | — |
| 183 | D4×D5 | — | 10 | 16 | no | — |
| 184 | D4×D5 | — | 10 | 16 | no | — |
| 185 | D4×D5 | — | 10 | 8 | no | — |
| 186 | #709 | — | 10 | 32 | no | — |
| 187 | #709 | — | 10 | 8 | no | — |
| 188 | #709 | — | 10 | 8 | no | — |
| 189 | #709 | — | 10 | 8 | no | — |
| 190 | #709 | — | 10 | 8 | no | — |
| 191 | #709 | — | 10 | 2 | no | — |
| 192 | #709 | — | 10 | 2 | no | — |
| 193 | #709 | — | 10 | 2 | no | — |
| 194 | #709 | — | 10 | 2 | no | — |
| 195 | C2×D20 | — | 5 | 4 | no | — |
| 196 | C2×D20 | — | 5 | 4 | no | — |
| 197 | C2×D20 | — | 5 | 4 | no | — |
| 198 | C2×D20 | — | 5 | 2 | no | — |
| 199 | C2×D20 | — | 10 | 2 | no | — |
| 200 | C2×D20 | — | 10 | 4 | no | — |
| 201 | C2×D20 | — | 10 | 8 | no | — |
| 202 | C2×D20 | — | 10 | 4 | no | — |
| 203 | C2×D20 | — | 10 | 4 | no | — |
| 204 | C2×D20 | — | 10 | 8 | no | — |
| 205 | C2×D20 | — | 10 | 32 | no | — |
| 206 | C2×D20 | — | 10 | 8 | no | — |
| 207 | C2×D20 | — | 10 | 8 | no | — |
| 208 | C2×D20 | — | 10 | 8 | no | — |
| 209 | C2×D20 | — | 10 | 2 | no | — |
| 210 | C2×D20 | — | 10 | 2 | no | — |
| 211 | C2×D20 | — | 10 | 2 | no | — |
| 212 | C2×C4×D5 | — | 5 | 4 | no | — |
| 213 | C2×C4×D5 | — | 10 | 4 | no | — |
| 214 | C2×C4×D5 | — | 10 | 4 | no | — |
| 215 | C2×C4×D5 | — | 10 | 8 | no | — |
| 216 | C2×Dic10 | — | 5 | 2 | no | — |
| 217 | C2×Dic10 | — | 10 | 2 | no | — |
| 218 | C5×M16 | — | 10 | 2 | no | — |
| 219 | C5×M16 | — | 10 | 2 | no | — |
| 220 | C2×C5×C8 | — | 10 | 2 | no | — |
| 221 | C5×C4⋊C4 | — | 10 | 2 | no | — |
| 222 | C5×C22⋊C4 | — | 10 | 2 | no | — |
| 223 | C42×C5 | — | 10 | 2 | no | — |
| 224 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 225 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 226 | C4×Dic5 | — | 2 | 2 | no | — |
| 227 | #681 | — | 2 | 2 | no | — |
| 228 | #681 | — | 2 | 2 | no | — |
| 229 | C2×#168 | — | 2 | 2 | no | — |
| 230 | C2×H(5,𝔽2) | — | 25 | 1 | no | — |
| 231 | #421 | — | 5 | 2 | no | — |
| 232 | #418 | — | 25 | 2 | no | — |
| 233 | #413 | — | 25 | 1 | no | — |
| 234 | #410 | — | 25 | 1 | no | — |
| 235 | C2×C52 | — | 2 | 1 | no | — |
| 236 | C2×C52 | — | 2 | 2 | no | — |
| 237 | C2×C52 | — | 4 | 2 | no | — |
| 238 | C2×C52 | #379 | 1 | 1 | yes | characteristic |
| 239 | C5⋊D5 | — | 4 | 4 | no | — |
| 240 | C5⋊D5 | — | 4 | 2 | no | — |
| 241 | C23×C5 | — | 2 | 4 | no | — |
| 242 | C23×C5 | — | 2 | 2 | no | — |
| 243 | C23×C5 | — | 2 | 2 | no | — |
| 244 | C23×C5 | D4×D5 | 1 | 2 | yes | — |
| 245 | C22×D5 | — | 5 | 4 | no | — |
| 246 | C22×D5 | — | 10 | 4 | no | — |
| 247 | C22×D5 | — | 10 | 8 | no | — |
| 248 | C22×D5 | — | 10 | 4 | no | — |
| 249 | C22×D5 | — | 10 | 32 | no | — |
| 250 | C22×D5 | — | 10 | 16 | no | — |
| 251 | C22×D5 | — | 10 | 16 | no | — |
| 252 | C22×D5 | — | 10 | 4 | no | — |
| 253 | C22×D5 | — | 10 | 4 | no | — |
| 254 | C22×D5 | — | 40 | 4 | no | — |
| 255 | C22×D5 | — | 40 | 8 | no | — |
| 256 | C22×D5 | — | 40 | 16 | no | — |
| 257 | C22×D5 | — | 40 | 8 | no | — |
| 258 | C5×Q8 | — | 2 | 4 | no | — |
| 259 | C5×Q8 | — | 2 | 2 | no | — |
| 260 | C5×Q8 | — | 2 | 4 | no | — |
| 261 | C5×Q8 | #685 | 1 | 4 | yes | — |
| 262 | C5×D4 | — | 2 | 16 | no | — |
| 263 | C5×D4 | — | 2 | 4 | no | — |
| 264 | C5×D4 | — | 2 | 4 | no | — |
| 265 | C5×D4 | — | 2 | 4 | no | — |
| 266 | C5×D4 | — | 2 | 2 | no | — |
| 267 | C5×D4 | — | 2 | 4 | no | — |
| 268 | C5×D4 | #685 | 1 | 4 | yes | — |
| 269 | C2×C4×C5 | — | 2 | 4 | no | — |
| 270 | C2×C4×C5 | — | 2 | 16 | no | — |
| 271 | C2×C4×C5 | — | 2 | 2 | no | — |
| 272 | C2×C4×C5 | — | 2 | 4 | no | — |
| 273 | C2×C4×C5 | — | 2 | 4 | no | — |
| 274 | C2×C4×C5 | — | 2 | 2 | no | — |
| 275 | C2×C4×C5 | — | 2 | 4 | no | — |
| 276 | C2×C4×C5 | — | 2 | 2 | no | — |
| 277 | C2×C4×C5 | — | 2 | 4 | no | — |
| 278 | C2×C4×C5 | — | 20 | 2 | no | — |
| 279 | C2×C4×C5 | C2×C4×D5 | 1 | 2 | yes | — |
| 280 | C2×C4×C5 | C2×D20 | 1 | 2 | yes | — |
| 281 | C2×C4×C5 | D4×D5 | 1 | 2 | yes | — |
| 282 | C2×C4×C5 | D4×D5 | 1 | 2 | yes | — |
| 283 | C2×C4×C5 | D4×D5 | 1 | 2 | yes | — |
| 284 | C2×C4×C5 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 285 | C22⋊D5 | — | 10 | 32 | no | — |
| 286 | C22⋊D5 | — | 10 | 16 | no | — |
| 287 | C22⋊D5 | — | 10 | 16 | no | — |
| 288 | C22⋊D5 | — | 10 | 4 | no | — |
| 289 | C22⋊D5 | — | 10 | 4 | no | — |
| 290 | C2×Dic5 | — | 4 | 2 | no | — |
| 291 | C2×Dic5 | — | 5 | 4 | no | — |
| 292 | C2×Dic5 | — | 10 | 4 | no | — |
| 293 | D20 | — | 5 | 8 | no | — |
| 294 | D20 | — | 10 | 8 | no | — |
| 295 | D20 | — | 10 | 8 | no | — |
| 296 | D20 | — | 10 | 16 | no | — |
| 297 | D20 | — | 10 | 32 | no | — |
| 298 | D20 | — | 10 | 16 | no | — |
| 299 | D20 | — | 10 | 8 | no | — |
| 300 | D20 | — | 10 | 4 | no | — |
| 301 | D20 | — | 10 | 2 | no | — |
| 302 | D20 | — | 10 | 4 | no | — |
| 303 | D20 | — | 10 | 4 | no | — |
| 304 | D20 | — | 10 | 2 | no | — |
| 305 | C4×D5 | — | 10 | 32 | no | — |
| 306 | C4×D5 | — | 10 | 16 | no | — |
| 307 | C4×D5 | — | 10 | 8 | no | — |
| 308 | C4×D5 | — | 10 | 8 | no | — |
| 309 | C4×D5 | — | 10 | 4 | no | — |
| 310 | C4×D5 | — | 10 | 4 | no | — |
| 311 | Dic10 | — | 10 | 8 | no | — |
| 312 | Dic10 | — | 10 | 2 | no | — |
| 313 | Dic10 | — | 10 | 2 | no | — |
| 314 | C5×C8 | — | 20 | 2 | no | — |
| 315 | #168 | — | 4 | 2 | no | — |
| 316 | H(5,𝔽2) | — | 50 | 4 | no | — |
| 317 | H(5,𝔽2) | — | 50 | 4 | no | — |
| 318 | C2×#41 | — | 25 | 1 | no | — |
| 319 | C2×#41 | — | 25 | 2 | no | — |
| 320 | C2×#41 | — | 50 | 1 | no | — |
| 321 | C2×#41 | D52 | 1 | 1 | yes | characteristic |
| 322 | C22×D4 | — | 25 | 2 | no | — |
| 323 | C22×D4 | — | 25 | 1 | no | — |
| 324 | C22×D4 | — | 50 | 1 | no | — |
| 325 | C22×D4 | — | 50 | 2 | no | — |
| 326 | C2×M16 | — | 5 | 2 | no | — |
| 327 | #117 | — | 5 | 2 | no | — |
| 328 | #104 | — | 10 | 4 | no | — |
| 329 | #102 | — | 50 | 4 | no | — |
| 330 | #101 | — | 50 | 1 | no | — |
| 331 | #100 | — | 50 | 1 | no | — |
| 332 | #99 | — | 50 | 2 | no | — |
| 333 | C52 | #1795 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 334 | C22×C5 | — | 2 | 8 | no | — |
| 335 | C22×C5 | — | 2 | 4 | no | — |
| 336 | C22×C5 | — | 2 | 2 | no | — |
| 337 | C22×C5 | — | 2 | 4 | no | — |
| 338 | C22×C5 | — | 4 | 2 | no | — |
| 339 | C22×C5 | — | 4 | 4 | no | — |
| 340 | C22×C5 | — | 4 | 8 | no | — |
| 341 | C22×C5 | — | 4 | 4 | no | — |
| 342 | C22×C5 | D5×C22⋊C4 | 1 | 2 | yes | — |
| 343 | C22×C5 | #4028 | 1 | 2 | yes | — |
| 344 | C22×C5 | #4083 | 1 | 2 | yes | — |
| 345 | C2×D5 | — | 10 | 16 | no | — |
| 346 | C2×D5 | — | 10 | 8 | no | — |
| 347 | C2×D5 | — | 10 | 8 | no | — |
| 348 | C2×D5 | — | 10 | 4 | no | — |
| 349 | C2×D5 | — | 20 | 8 | no | — |
| 350 | C2×D5 | — | 20 | 16 | no | — |
| 351 | C2×D5 | — | 20 | 8 | no | — |
| 352 | C2×D5 | — | 20 | 4 | no | — |
| 353 | C2×D5 | — | 40 | 4 | no | — |
| 354 | C2×D5 | — | 40 | 4 | no | — |
| 355 | C2×D5 | — | 40 | 16 | no | — |
| 356 | C2×D5 | — | 40 | 32 | no | — |
| 357 | C2×D5 | — | 40 | 16 | no | — |
| 358 | C4×C5 | — | 2 | 8 | no | — |
| 359 | C4×C5 | — | 2 | 4 | no | — |
| 360 | C4×C5 | — | 2 | 2 | no | — |
| 361 | C4×C5 | — | 2 | 2 | no | — |
| 362 | C4×C5 | — | 2 | 4 | no | — |
| 363 | C4×C5 | — | 40 | 2 | no | — |
| 364 | C4×C5 | D5×C22⋊C4 | 1 | 2 | yes | — |
| 365 | C4×C5 | #4028 | 1 | 2 | yes | — |
| 366 | C4×C5 | C2×#685 | 1 | 2 | yes | — |
| 367 | C4×C5 | #4083 | 1 | 2 | yes | — |
| 368 | Dic5 | — | 8 | 2 | no | — |
| 369 | Dic5 | — | 10 | 8 | no | — |
| 370 | Dic5 | — | 10 | 4 | no | — |
| 371 | C24 | — | 50 | 2 | no | — |
| 372 | C24 | — | 50 | 1 | no | — |
| 373 | #41 | — | 2 | 2 | no | — |
| 374 | #41 | — | 50 | 8 | no | — |
| 375 | #41 | — | 50 | 4 | no | — |
| 376 | #41 | — | 50 | 4 | no | — |
| 377 | #41 | — | 50 | 2 | no | — |
| 378 | #41 | — | 50 | 2 | no | — |
| 379 | #41 | #6038 | 1 | 4 | yes | — |
| 380 | C2×Q8 | — | 25 | 1 | no | — |
| 381 | C2×Q8 | #6036 | 1 | 1 | yes | characteristic |
| 382 | C2×D4 | — | 2 | 1 | no | — |
| 383 | C2×D4 | — | 25 | 2 | no | — |
| 384 | C2×D4 | — | 25 | 2 | no | — |
| 385 | C2×D4 | — | 25 | 4 | no | — |
| 386 | C2×D4 | — | 25 | 1 | no | — |
| 387 | C2×D4 | — | 50 | 2 | no | — |
| 388 | C2×D4 | — | 50 | 8 | no | — |
| 389 | C2×D4 | — | 50 | 2 | no | — |
| 390 | C2×D4 | — | 50 | 4 | no | — |
| 391 | C2×D4 | — | 50 | 16 | no | — |
| 392 | C2×D4 | — | 50 | 4 | no | — |
| 393 | C2×D4 | — | 50 | 2 | no | — |
| 394 | C2×D4 | — | 50 | 1 | no | — |
| 395 | C2×D4 | #6036 | 1 | 1 | yes | characteristic |
| 396 | C22×C4 | — | 2 | 1 | no | — |
| 397 | C22×C4 | — | 25 | 2 | no | — |
| 398 | C22×C4 | — | 50 | 2 | no | — |
| 399 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 400 | M16 | — | 10 | 2 | no | — |
| 401 | M16 | — | 10 | 2 | no | — |
| 402 | C2×C8 | — | 10 | 2 | no | — |
| 403 | C4⋊C4 | — | 10 | 2 | no | — |
| 404 | C22⋊C4 | — | 10 | 2 | no | — |
| 405 | C42 | — | 10 | 2 | no | — |
| 406 | C2×C5 | — | 2 | 4 | no | — |
| 407 | C2×C5 | — | 2 | 2 | no | — |
| 408 | C2×C5 | — | 2 | 2 | no | — |
| 409 | C2×C5 | — | 2 | 2 | no | — |
| 410 | C2×C5 | — | 2 | 2 | no | — |
| 411 | C2×C5 | — | 4 | 4 | no | — |
| 412 | C2×C5 | — | 4 | 8 | no | — |
| 413 | C2×C5 | — | 4 | 4 | no | — |
| 414 | C2×C5 | #65244 | 1 | 2 | yes | — |
| 415 | D5 | — | 20 | 16 | no | — |
| 416 | D5 | — | 20 | 8 | no | — |
| 417 | D5 | — | 20 | 8 | no | — |
| 418 | D5 | — | 20 | 4 | no | — |
| 419 | C23 | — | 2 | 1 | no | — |
| 420 | C23 | — | 25 | 2 | no | — |
| 421 | C23 | — | 50 | 8 | no | — |
| 422 | C23 | — | 50 | 2 | no | — |
| 423 | C23 | — | 50 | 4 | no | — |
| 424 | C23 | — | 200 | 2 | no | — |
| 425 | C23 | — | 200 | 4 | no | — |
| 426 | C23 | #87886 | 1 | 1 | yes | characteristic |
| 427 | Q8 | — | 2 | 1 | no | — |
| 428 | Q8 | — | 50 | 2 | no | — |
| 429 | Q8 | #87779 | 1 | 2 | yes | — |
| 430 | D4 | — | 2 | 4 | no | — |
| 431 | D4 | — | 2 | 1 | no | — |
| 432 | D4 | — | 25 | 4 | no | — |
| 433 | D4 | — | 50 | 8 | no | — |
| 434 | D4 | — | 50 | 8 | no | — |
| 435 | D4 | — | 50 | 4 | no | — |
| 436 | D4 | — | 50 | 2 | no | — |
| 437 | D4 | — | 50 | 4 | no | — |
| 438 | D4 | — | 50 | 2 | no | — |
| 439 | D4 | #87779 | 1 | 2 | yes | — |
| 440 | C2×C4 | — | 2 | 1 | no | — |
| 441 | C2×C4 | — | 2 | 4 | no | — |
| 442 | C2×C4 | — | 20 | 2 | no | — |
| 443 | C2×C4 | — | 25 | 2 | no | — |
| 444 | C2×C4 | — | 50 | 8 | no | — |
| 445 | C2×C4 | — | 50 | 2 | no | — |
| 446 | C2×C4 | — | 50 | 2 | no | — |
| 447 | C2×C4 | C2×#6036 | 1 | 1 | yes | characteristic |
| 448 | C2×C4 | C2×#6038 | 1 | 2 | yes | — |
| 449 | C2×C4 | #87886 | 1 | 2 | yes | — |
| 450 | C2×C4 | #87886 | 1 | 1 | yes | characteristic |
| 451 | C8 | — | 20 | 2 | no | — |
| 452 | C5 | — | 2 | 2 | no | — |
| 453 | C5 | #10601207 | 1 | 2 | yes | complemented |
| 454 | C22 | — | 2 | 2 | no | — |
| 455 | C22 | — | 4 | 1 | no | — |
| 456 | C22 | — | 4 | 2 | no | — |
| 457 | C22 | — | 50 | 4 | no | — |
| 458 | C22 | — | 50 | 2 | no | — |
| 459 | C22 | — | 100 | 2 | no | — |
| 460 | C22 | — | 100 | 4 | no | — |
| 461 | C22 | — | 200 | 4 | no | — |
| 462 | C22 | — | 200 | 8 | no | — |
| 463 | C22 | #11717092 | 1 | 1 | yes | characteristic |
| 464 | C22 | #11717099 | 1 | 2 | yes | — |
| 465 | C4 | — | 2 | 2 | no | — |
| 466 | C4 | — | 40 | 2 | no | — |
| 467 | C4 | — | 50 | 2 | no | — |
| 468 | C4 | C2×#87779 | 1 | 1 | yes | characteristic |
| 469 | C4 | #11717092 | 1 | 1 | yes | characteristic |
| 470 | C4 | #11717099 | 1 | 2 | yes | — |
| 471 | C2 | — | 2 | 2 | no | — |
| 472 | C2 | — | 2 | 1 | no | — |
| 473 | C2 | — | 4 | 2 | no | — |
| 474 | C2 | — | 100 | 4 | no | — |
| 475 | C2 | — | 100 | 2 | no | — |
| 476 | C2 | #13101890 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C5×#65525 | C2 | semidirect |
| 3. #13101288 | C2 | semidirect |
| 4. #13101272 | C2 | semidirect |
| 5. #13101266 | C2 | semidirect |
| 9. C2×#87904 | C4 | semidirect |
| 11. C2×D4×C5⋊D5 | C4 | semidirect |
| 16. C5×#4072 | C22 | semidirect |
| 17. C2×C5×#681 | C22 | semidirect |
| 62. #65525 | D5 | semidirect |
| 124. #4072 | C2×D5 | semidirect |
| 125. C2×#681 | C2×D5 | semidirect |
| 333. C52 | #1795 | semidirect |
| 453. C5 | #10601207 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11717522 | 2 |
| C5×#65525 | 2 |
| #13101288 | 2 |
| #13101272 | 2 |
| #13101266 | 2 |
| #10601207 | 5 |