Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
1878 conjugacy classes of subgroups; only the 172 normal subgroups are shown.
This group has 1878 conjugacy classes of subgroups — too many to draw. Only its 172 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 | #13107825 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13107115 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13106588 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C5×#65321 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13101906 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13101619 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13101597 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13100591 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13100587 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C22×C22⋊(C5⋊D5) | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | C2×#87902 | C22 | 1 | 1 | yes | characteristic |
| 12 | C5×#4144 | C22 | 1 | 2 | yes | — |
| 13 | #11717495 | — | 2 | 1 | no | — |
| 14 | #11717495 | C22 | 1 | 2 | yes | — |
| 15 | C2×#87880 | — | 2 | 1 | no | — |
| 16 | C2×#87880 | C22 | 1 | 2 | yes | — |
| 17 | #11717478 | — | 2 | 2 | no | — |
| 18 | D5×#711 | — | 2 | 4 | no | — |
| 19 | #11717474 | — | 2 | 2 | no | — |
| 20 | #11717471 | — | 2 | 1 | no | — |
| 21 | #11717463 | — | 2 | 1 | no | — |
| 22 | C52×#120 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #11717273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #11717260 | — | 2 | 1 | no | — |
| 25 | #11717259 | — | 2 | 1 | no | — |
| 26 | #11717257 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #11717205 | — | 2 | 1 | no | — |
| 28 | #11717204 | — | 2 | 1 | no | — |
| 29 | #11717202 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #11717197 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C5×#4099 | C22 | 1 | 4 | yes | complemented |
| 32 | #11717099 | C22 | 1 | 4 | yes | complemented |
| 33 | #11717097 | — | 2 | 2 | no | — |
| 34 | #11717089 | — | 2 | 4 | no | — |
| 35 | #11717075 | C22 | 1 | 2 | yes | complemented |
| 36 | #11717071 | — | 2 | 2 | no | — |
| 37 | C5×#3966 | C22 | 1 | 2 | yes | complemented |
| 38 | C5×#3938 | C22 | 1 | 4 | yes | complemented |
| 39 | #11716622 | C22 | 1 | 2 | yes | complemented |
| 40 | #11716621 | C22 | 1 | 4 | yes | complemented |
| 41 | #10612036 | — | 5 | 2 | no | maximal |
| 42 | C24×C52 | C23 | 1 | 1 | yes | characteristic |
| 43 | C23×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 44 | C2×C52×D4 | — | 2 | 1 | no | — |
| 45 | C2×C52×D4 | C23 | 1 | 1 | yes | characteristic |
| 46 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 47 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 48 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 49 | C2×C22⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 50 | C2×C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 51 | C2×C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 52 | C2×C22⋊(C5⋊D5) | D4 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×C22⋊(C5⋊D5) | C23 | 1 | 1 | yes | characteristic |
| 54 | C22×#1039 | D4 | 1 | 1 | yes | characteristic, complemented |
| 55 | C22×#1039 | C23 | 1 | 1 | yes | characteristic |
| 56 | #87902 | — | 2 | 2 | no | — |
| 57 | #87902 | — | 2 | 2 | no | — |
| 58 | C2×C4⋊(C5⋊D5) | — | 2 | 1 | no | — |
| 59 | C2×C4×C5⋊D5 | D4 | 1 | 1 | yes | characteristic, complemented |
| 60 | C2×#6045 | D4 | 1 | 1 | yes | characteristic, complemented |
| 61 | C2×C5×C22⋊D5 | — | 2 | 2 | no | — |
| 62 | C2×C5×C22⋊D5 | — | 2 | 4 | no | — |
| 63 | C2×C5×C22⋊D5 | C23 | 1 | 4 | yes | — |
| 64 | C5×#711 | — | 2 | 4 | no | — |
| 65 | C5×D4×D5 | — | 2 | 4 | no | — |
| 66 | C5×#709 | — | 2 | 2 | no | — |
| 67 | #87886 | — | 2 | 2 | no | — |
| 68 | D5×C22⋊D5 | — | 2 | 4 | no | — |
| 69 | D5×C22⋊D5 | — | 2 | 4 | no | — |
| 70 | C2×#6039 | — | 2 | 1 | no | — |
| 71 | C2×#6039 | D4 | 1 | 2 | yes | complemented |
| 72 | C2×#6038 | — | 2 | 4 | no | — |
| 73 | C2×#6037 | — | 2 | 1 | no | — |
| 74 | C2×#6037 | D4 | 1 | 2 | yes | complemented |
| 75 | #87880 | — | 2 | 2 | no | — |
| 76 | #87880 | — | 2 | 2 | no | — |
| 77 | #87880 | — | 2 | 2 | no | — |
| 78 | #87880 | — | 2 | 2 | no | — |
| 79 | #87880 | — | 2 | 2 | no | — |
| 80 | #87880 | — | 2 | 2 | no | — |
| 81 | #87880 | — | 2 | 2 | no | — |
| 82 | #87879 | — | 2 | 4 | no | — |
| 83 | #87879 | — | 2 | 4 | no | — |
| 84 | C2×D5×Dic5 | — | 2 | 2 | no | — |
| 85 | C2×D5×Dic5 | D4 | 1 | 4 | yes | complemented |
| 86 | #87877 | — | 2 | 1 | no | — |
| 87 | C4×D52 | — | 2 | 2 | no | — |
| 88 | #87873 | — | 2 | 2 | no | — |
| 89 | #87872 | — | 2 | 1 | no | — |
| 90 | #87871 | — | 2 | 2 | no | — |
| 91 | #87870 | — | 2 | 4 | no | — |
| 92 | D5×Dic10 | — | 2 | 4 | no | — |
| 93 | C52×C22⋊C4 | — | 2 | 1 | no | — |
| 94 | C52×C22⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 95 | C22⋊#1039 | — | 2 | 1 | no | — |
| 96 | C22⋊#1039 | C23 | 1 | 1 | yes | characteristic |
| 97 | #87808 | — | 2 | 1 | no | — |
| 98 | #87808 | — | 2 | 1 | no | — |
| 99 | #87806 | — | 2 | 1 | no | — |
| 100 | C4×#1039 | — | 2 | 1 | no | — |
| 101 | C5×C22⋊Dic5 | — | 2 | 4 | no | — |
| 102 | C5×C22⋊Dic5 | C23 | 1 | 4 | yes | — |
| 103 | #87781 | — | 2 | 2 | no | — |
| 104 | #87779 | — | 2 | 4 | no | — |
| 105 | Dic52 | — | 2 | 2 | no | — |
| 106 | #66285 | — | 5 | 2 | no | — |
| 107 | #65926 | — | 5 | 2 | no | — |
| 108 | #65926 | — | 5 | 4 | no | — |
| 109 | #65926 | — | 10 | 2 | no | — |
| 110 | C5×B(4,𝔽2) | — | 5 | 2 | no | — |
| 111 | #65533 | — | 5 | 2 | no | — |
| 112 | #65321 | — | 5 | 4 | no | — |
| 113 | #65321 | D5 | 1 | 2 | yes | complemented |
| 114 | #65030 | — | 5 | 4 | no | — |
| 115 | #65030 | — | 5 | 2 | no | — |
| 116 | #65029 | — | 5 | 2 | no | — |
| 117 | #65029 | — | 5 | 4 | no | — |
| 118 | C23×C52 | — | 2 | 1 | no | — |
| 119 | C23×C52 | — | 2 | 2 | no | — |
| 120 | C23×C52 | — | 8 | 1 | no | — |
| 121 | C23×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C23×C52 | C24 | 1 | 1 | yes | characteristic |
| 123 | C22×C5⋊D5 | — | 2 | 1 | no | — |
| 124 | C22×C5⋊D5 | — | 2 | 2 | no | — |
| 125 | C22×C5⋊D5 | — | 8 | 1 | no | — |
| 126 | C22×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C22×C5×D5 | — | 2 | 2 | no | — |
| 128 | C22×C5×D5 | C2×D4 | 1 | 4 | yes | — |
| 129 | C2×D52 | — | 2 | 2 | no | — |
| 130 | C52×D4 | — | 2 | 2 | no | — |
| 131 | C52×D4 | — | 8 | 1 | no | — |
| 132 | C2×C4×C52 | — | 2 | 1 | no | — |
| 133 | C2×C4×C52 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 135 | C22⋊(C5⋊D5) | — | 2 | 2 | no | — |
| 136 | C22⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 137 | C22⋊(C5⋊D5) | — | 4 | 2 | no | — |
| 138 | C22⋊(C5⋊D5) | — | 4 | 1 | no | — |
| 139 | C22⋊(C5⋊D5) | — | 8 | 1 | no | — |
| 140 | C22⋊(C5⋊D5) | — | 8 | 1 | no | — |
| 141 | C2×#1039 | — | 2 | 1 | no | — |
| 142 | C2×#1039 | — | 2 | 1 | no | — |
| 143 | C2×#1039 | — | 2 | 1 | no | — |
| 144 | C2×#1039 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C2×#1039 | C2×D4 | 1 | 2 | yes | — |
| 146 | C2×#1039 | C2×D4 | 1 | 1 | yes | characteristic |
| 147 | C2×#1039 | C2×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×#1039 | C2×D4 | 1 | 2 | yes | — |
| 149 | C4⋊(C5⋊D5) | — | 8 | 1 | no | — |
| 150 | C4×C5⋊D5 | — | 2 | 1 | no | — |
| 151 | C4×C5⋊D5 | — | 2 | 1 | no | — |
| 152 | #6045 | — | 2 | 2 | no | — |
| 153 | C5×C22⋊D5 | — | 2 | 4 | no | — |
| 154 | C5×C22⋊D5 | — | 2 | 4 | no | — |
| 155 | C5×C22⋊D5 | — | 2 | 4 | no | — |
| 156 | C5×C22⋊D5 | — | 8 | 4 | no | — |
| 157 | C2×C5×Dic5 | — | 2 | 2 | no | — |
| 158 | C2×C5×Dic5 | — | 2 | 4 | no | — |
| 159 | C2×C5×Dic5 | C2×D4 | 1 | 4 | yes | — |
| 160 | C5×D20 | — | 2 | 2 | no | — |
| 161 | C4×C5×D5 | — | 2 | 4 | no | — |
| 162 | C5×Dic10 | — | 2 | 2 | no | — |
| 163 | #6039 | — | 2 | 2 | no | — |
| 164 | #6039 | — | 2 | 2 | no | — |
| 165 | #6039 | — | 2 | 2 | no | — |
| 166 | #6038 | — | 2 | 4 | no | — |
| 167 | #6038 | — | 8 | 4 | no | — |
| 168 | #6037 | — | 2 | 2 | no | — |
| 169 | #6037 | — | 2 | 2 | no | — |
| 170 | #6037 | — | 2 | 2 | no | — |
| 171 | #6036 | — | 2 | 2 | no | — |
| 172 | D5×Dic5 | — | 2 | 4 | no | — |
| 173 | D5×Dic5 | — | 2 | 4 | no | — |
| 174 | D5×Dic5 | — | 2 | 4 | no | — |
| 175 | C5×H(5,𝔽2) | — | 5 | 2 | no | — |
| 176 | C22×C22⋊D5 | — | 5 | 2 | no | — |
| 177 | C22×C22⋊D5 | — | 10 | 2 | no | — |
| 178 | #4150 | — | 10 | 2 | no | — |
| 179 | #4150 | — | 10 | 4 | no | — |
| 180 | D5×#41 | — | 10 | 2 | no | — |
| 181 | D5×#41 | — | 10 | 4 | no | — |
| 182 | #4144 | — | 5 | 4 | no | — |
| 183 | #4144 | — | 10 | 4 | no | — |
| 184 | #4144 | — | 10 | 2 | no | — |
| 185 | #4144 | C2×D5 | 1 | 2 | yes | — |
| 186 | C2×#711 | — | 5 | 2 | no | — |
| 187 | C2×#711 | — | 5 | 4 | no | — |
| 188 | C2×#711 | — | 10 | 2 | no | — |
| 189 | C2×#711 | — | 10 | 4 | no | — |
| 190 | C2×#711 | — | 10 | 2 | no | — |
| 191 | C5×#120 | — | 2 | 2 | no | — |
| 192 | C5×#120 | — | 5 | 4 | no | — |
| 193 | C5×#120 | C2×D5 | 1 | 2 | yes | complemented |
| 194 | #4099 | — | 5 | 2 | no | — |
| 195 | #4099 | — | 10 | 2 | no | — |
| 196 | #4099 | C2×D5 | 1 | 4 | yes | complemented |
| 197 | #4086 | — | 10 | 4 | no | — |
| 198 | #4086 | — | 10 | 2 | no | — |
| 199 | #4086 | — | 10 | 4 | no | — |
| 200 | #4085 | — | 10 | 4 | no | — |
| 201 | #4085 | — | 10 | 2 | no | — |
| 202 | #4085 | — | 10 | 4 | no | — |
| 203 | #4083 | — | 5 | 2 | no | — |
| 204 | #4083 | — | 5 | 4 | no | — |
| 205 | #4083 | — | 10 | 2 | no | — |
| 206 | #4031 | — | 10 | 4 | no | — |
| 207 | #4031 | — | 10 | 2 | no | — |
| 208 | #4031 | — | 10 | 4 | no | — |
| 209 | #4030 | — | 10 | 2 | no | — |
| 210 | #4030 | — | 10 | 4 | no | — |
| 211 | #4030 | — | 10 | 4 | no | — |
| 212 | #4028 | — | 5 | 4 | no | — |
| 213 | #4028 | — | 5 | 2 | no | — |
| 214 | #4028 | — | 10 | 2 | no | — |
| 215 | #4023 | — | 5 | 2 | no | — |
| 216 | #4023 | — | 5 | 4 | no | — |
| 217 | #4023 | — | 10 | 2 | no | — |
| 218 | C5×#99 | — | 5 | 2 | no | — |
| 219 | C5×#99 | — | 5 | 4 | no | — |
| 220 | #3966 | — | 5 | 4 | no | — |
| 221 | #3966 | C2×D5 | 1 | 2 | yes | complemented |
| 222 | #3938 | — | 5 | 4 | no | — |
| 223 | #3938 | — | 5 | 4 | no | — |
| 224 | #3938 | C2×D5 | 1 | 4 | yes | complemented |
| 225 | #3027 | — | 25 | 1 | no | Sylow |
| 226 | C22×C52 | — | 2 | 1 | no | — |
| 227 | C22×C52 | — | 4 | 1 | no | — |
| 228 | C22×C52 | — | 4 | 1 | no | — |
| 229 | C22×C52 | — | 4 | 1 | no | — |
| 230 | C22×C52 | — | 4 | 1 | no | — |
| 231 | C22×C52 | — | 4 | 4 | no | — |
| 232 | C22×C52 | — | 4 | 1 | no | — |
| 233 | C22×C52 | C22×D4 | 1 | 2 | yes | — |
| 234 | C22×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 235 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 236 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 237 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 238 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 239 | C2×C5⋊D5 | — | 4 | 4 | no | — |
| 240 | C2×C5⋊D5 | — | 4 | 1 | no | — |
| 241 | C2×C5×D5 | — | 2 | 4 | no | — |
| 242 | C2×C5×D5 | — | 4 | 4 | no | — |
| 243 | C2×C5×D5 | — | 8 | 2 | no | — |
| 244 | D52 | — | 8 | 2 | no | — |
| 245 | C4×C52 | — | 2 | 1 | no | — |
| 246 | C4×C52 | — | 4 | 1 | no | — |
| 247 | #1039 | — | 2 | 1 | no | — |
| 248 | #1039 | — | 4 | 1 | no | — |
| 249 | #1039 | #120 | 1 | 1 | yes | characteristic |
| 250 | #1039 | #120 | 1 | 2 | yes | — |
| 251 | #1039 | #120 | 1 | 1 | yes | characteristic |
| 252 | C5×Dic5 | — | 2 | 4 | no | — |
| 253 | C5×Dic5 | — | 4 | 4 | no | — |
| 254 | C24×C5 | — | 2 | 2 | no | — |
| 255 | C24×C5 | C22×D5 | 1 | 2 | yes | — |
| 256 | C23×D5 | — | 5 | 2 | no | — |
| 257 | C23×D5 | — | 10 | 2 | no | — |
| 258 | C5×#41 | — | 10 | 4 | no | — |
| 259 | C5×#41 | — | 10 | 2 | no | — |
| 260 | C2×C5×D4 | — | 2 | 4 | no | — |
| 261 | C2×C5×D4 | — | 2 | 2 | no | — |
| 262 | C2×C5×D4 | — | 2 | 2 | no | — |
| 263 | C2×C5×D4 | — | 5 | 4 | no | — |
| 264 | C2×C5×D4 | — | 10 | 4 | no | — |
| 265 | C2×C5×D4 | — | 10 | 2 | no | — |
| 266 | C2×C5×D4 | — | 10 | 4 | no | — |
| 267 | C2×C5×D4 | C22×D5 | 1 | 2 | yes | — |
| 268 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 269 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 270 | C2×C22⋊D5 | — | 5 | 2 | no | — |
| 271 | C2×C22⋊D5 | — | 5 | 2 | no | — |
| 272 | C2×C22⋊D5 | — | 5 | 4 | no | — |
| 273 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 274 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 275 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 276 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 277 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 278 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 279 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 280 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 281 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 282 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 283 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 284 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 285 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 286 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 287 | C2×C22⋊D5 | — | 10 | 4 | no | — |
| 288 | C2×C22⋊D5 | — | 10 | 2 | no | — |
| 289 | C2×C22⋊D5 | — | 20 | 4 | no | — |
| 290 | C2×C22⋊D5 | — | 20 | 4 | no | — |
| 291 | C2×C22⋊D5 | C22×D5 | 1 | 4 | yes | — |
| 292 | C22×Dic5 | — | 5 | 2 | no | — |
| 293 | C22×Dic5 | — | 5 | 2 | no | — |
| 294 | C22×Dic5 | — | 5 | 4 | no | — |
| 295 | C22×Dic5 | — | 10 | 2 | no | — |
| 296 | C22×Dic5 | — | 10 | 2 | no | — |
| 297 | C22×Dic5 | — | 10 | 2 | no | — |
| 298 | #713 | — | 10 | 2 | no | — |
| 299 | Q8×D5 | — | 10 | 2 | no | — |
| 300 | Q8×D5 | — | 10 | 4 | no | — |
| 301 | #711 | — | 2 | 4 | no | — |
| 302 | #711 | — | 10 | 2 | no | — |
| 303 | #711 | — | 10 | 4 | no | — |
| 304 | #711 | — | 10 | 4 | no | — |
| 305 | #711 | — | 10 | 4 | no | — |
| 306 | #711 | — | 10 | 4 | no | — |
| 307 | #711 | — | 10 | 4 | no | — |
| 308 | #711 | — | 10 | 4 | no | — |
| 309 | #711 | — | 10 | 4 | no | — |
| 310 | #711 | — | 10 | 4 | no | — |
| 311 | #711 | — | 10 | 4 | no | — |
| 312 | #711 | — | 10 | 4 | no | — |
| 313 | #711 | — | 10 | 4 | no | — |
| 314 | #711 | — | 10 | 4 | no | — |
| 315 | #711 | — | 20 | 4 | no | — |
| 316 | #711 | — | 20 | 4 | no | — |
| 317 | D4×D5 | — | 2 | 4 | no | — |
| 318 | D4×D5 | — | 10 | 2 | no | — |
| 319 | D4×D5 | — | 10 | 4 | no | — |
| 320 | D4×D5 | — | 10 | 4 | no | — |
| 321 | D4×D5 | — | 10 | 4 | no | — |
| 322 | #709 | — | 2 | 2 | no | — |
| 323 | #709 | — | 10 | 4 | no | — |
| 324 | #709 | — | 10 | 4 | no | — |
| 325 | #709 | — | 10 | 4 | no | — |
| 326 | #709 | — | 10 | 4 | no | — |
| 327 | C2×D20 | — | 10 | 2 | no | — |
| 328 | C2×D20 | — | 10 | 4 | no | — |
| 329 | C2×D20 | — | 10 | 4 | no | — |
| 330 | C2×C4×D5 | — | 5 | 4 | no | — |
| 331 | C2×C4×D5 | — | 5 | 2 | no | — |
| 332 | C2×C4×D5 | — | 10 | 2 | no | — |
| 333 | C2×C4×D5 | — | 10 | 4 | no | — |
| 334 | C2×C4×D5 | — | 10 | 2 | no | — |
| 335 | C2×Dic10 | — | 5 | 2 | no | — |
| 336 | C2×Dic10 | — | 5 | 4 | no | — |
| 337 | C2×Dic10 | — | 10 | 2 | no | — |
| 338 | C2×Dic10 | — | 10 | 4 | no | — |
| 339 | C2×Dic10 | — | 10 | 2 | no | — |
| 340 | C5×C22⋊C4 | — | 2 | 4 | no | — |
| 341 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 342 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 343 | C5×C22⋊C4 | — | 5 | 4 | no | — |
| 344 | C5×C22⋊C4 | — | 10 | 4 | no | — |
| 345 | C5×C22⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 346 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 347 | C22⋊Dic5 | — | 5 | 2 | no | — |
| 348 | C22⋊Dic5 | — | 10 | 2 | no | — |
| 349 | C22⋊Dic5 | — | 10 | 2 | no | — |
| 350 | C22⋊Dic5 | — | 10 | 4 | no | — |
| 351 | C22⋊Dic5 | C22×D5 | 1 | 4 | yes | — |
| 352 | #685 | — | 10 | 4 | no | — |
| 353 | #685 | — | 10 | 2 | no | — |
| 354 | #685 | — | 10 | 4 | no | — |
| 355 | #685 | — | 10 | 4 | no | — |
| 356 | #685 | — | 10 | 2 | no | — |
| 357 | #685 | — | 10 | 4 | no | — |
| 358 | #683 | — | 10 | 4 | no | — |
| 359 | #683 | — | 10 | 2 | no | — |
| 360 | #683 | — | 10 | 4 | no | — |
| 361 | C4×Dic5 | — | 10 | 4 | no | — |
| 362 | C4×Dic5 | — | 10 | 2 | no | — |
| 363 | C4×Dic5 | — | 10 | 4 | no | — |
| 364 | #585 | — | 25 | 1 | no | — |
| 365 | #535 | — | 25 | 2 | no | — |
| 366 | #535 | — | 25 | 1 | no | — |
| 367 | B(4,𝔽2) | — | 5 | 2 | no | — |
| 368 | B(4,𝔽2) | — | 25 | 2 | no | — |
| 369 | B(4,𝔽2) | — | 25 | 2 | no | — |
| 370 | B(4,𝔽2) | — | 25 | 2 | no | — |
| 371 | #410 | — | 25 | 1 | no | — |
| 372 | #410 | — | 25 | 2 | no | — |
| 373 | C2×C52 | — | 2 | 1 | no | — |
| 374 | C2×C52 | — | 2 | 2 | no | — |
| 375 | C2×C52 | — | 4 | 1 | no | — |
| 376 | C2×C52 | — | 8 | 1 | no | — |
| 377 | C2×C52 | C2×#120 | 1 | 1 | yes | characteristic |
| 378 | C5⋊D5 | — | 4 | 1 | no | — |
| 379 | C5⋊D5 | — | 8 | 1 | no | — |
| 380 | C5×D5 | — | 4 | 4 | no | — |
| 381 | C23×C5 | — | 2 | 4 | no | — |
| 382 | C23×C5 | — | 2 | 4 | no | — |
| 383 | C23×C5 | — | 2 | 2 | no | — |
| 384 | C23×C5 | — | 2 | 2 | no | — |
| 385 | C23×C5 | — | 2 | 2 | no | — |
| 386 | C23×C5 | — | 4 | 4 | no | — |
| 387 | C23×C5 | — | 5 | 4 | no | — |
| 388 | C23×C5 | — | 8 | 2 | no | — |
| 389 | C23×C5 | — | 8 | 4 | no | — |
| 390 | C23×C5 | — | 10 | 2 | no | — |
| 391 | C23×C5 | D4×D5 | 1 | 2 | yes | — |
| 392 | C23×C5 | C23×D5 | 1 | 2 | yes | — |
| 393 | C22×D5 | — | 2 | 2 | no | — |
| 394 | C22×D5 | — | 5 | 2 | no | — |
| 395 | C22×D5 | — | 10 | 2 | no | — |
| 396 | C22×D5 | — | 10 | 4 | no | — |
| 397 | C22×D5 | — | 10 | 4 | no | — |
| 398 | C22×D5 | — | 10 | 4 | no | — |
| 399 | C22×D5 | — | 10 | 2 | no | — |
| 400 | C22×D5 | — | 20 | 4 | no | — |
| 401 | C22×D5 | — | 40 | 2 | no | — |
| 402 | C22×D5 | — | 40 | 4 | no | — |
| 403 | C22×D5 | D4×D5 | 1 | 4 | yes | — |
| 404 | C5×Q8 | — | 10 | 2 | no | — |
| 405 | C5×D4 | — | 2 | 4 | no | — |
| 406 | C5×D4 | — | 4 | 4 | no | — |
| 407 | C5×D4 | — | 8 | 2 | no | — |
| 408 | C5×D4 | — | 8 | 4 | no | — |
| 409 | C5×D4 | — | 10 | 2 | no | — |
| 410 | C5×D4 | — | 10 | 4 | no | — |
| 411 | C5×D4 | — | 10 | 4 | no | — |
| 412 | C5×D4 | — | 10 | 4 | no | — |
| 413 | C5×D4 | — | 40 | 4 | no | — |
| 414 | C2×C4×C5 | — | 2 | 4 | no | — |
| 415 | C2×C4×C5 | — | 2 | 2 | no | — |
| 416 | C2×C4×C5 | — | 2 | 2 | no | — |
| 417 | C2×C4×C5 | — | 5 | 4 | no | — |
| 418 | C2×C4×C5 | — | 10 | 4 | no | — |
| 419 | C2×C4×C5 | — | 10 | 2 | no | — |
| 420 | C2×C4×C5 | — | 10 | 4 | no | — |
| 421 | C2×C4×C5 | D4×D5 | 1 | 2 | yes | — |
| 422 | C22⋊D5 | — | 2 | 4 | no | — |
| 423 | C22⋊D5 | — | 2 | 4 | no | — |
| 424 | C22⋊D5 | — | 2 | 4 | no | — |
| 425 | C22⋊D5 | — | 8 | 4 | no | — |
| 426 | C22⋊D5 | — | 10 | 4 | no | — |
| 427 | C22⋊D5 | — | 10 | 4 | no | — |
| 428 | C22⋊D5 | — | 10 | 4 | no | — |
| 429 | C22⋊D5 | — | 10 | 4 | no | — |
| 430 | C22⋊D5 | — | 10 | 4 | no | — |
| 431 | C22⋊D5 | — | 10 | 4 | no | — |
| 432 | C22⋊D5 | — | 20 | 4 | no | — |
| 433 | C22⋊D5 | — | 20 | 4 | no | — |
| 434 | C22⋊D5 | — | 20 | 2 | no | — |
| 435 | C22⋊D5 | — | 20 | 4 | no | — |
| 436 | C22⋊D5 | — | 20 | 2 | no | — |
| 437 | C22⋊D5 | — | 20 | 8 | no | — |
| 438 | C22⋊D5 | — | 20 | 4 | no | — |
| 439 | C22⋊D5 | — | 20 | 4 | no | — |
| 440 | C22⋊D5 | — | 40 | 4 | no | — |
| 441 | C22⋊D5 | — | 40 | 2 | no | — |
| 442 | C22⋊D5 | — | 40 | 4 | no | — |
| 443 | C22⋊D5 | — | 40 | 2 | no | — |
| 444 | C22⋊D5 | — | 40 | 4 | no | — |
| 445 | C2×Dic5 | — | 2 | 2 | no | — |
| 446 | C2×Dic5 | — | 2 | 4 | no | — |
| 447 | C2×Dic5 | — | 5 | 4 | no | — |
| 448 | C2×Dic5 | — | 5 | 2 | no | — |
| 449 | C2×Dic5 | — | 5 | 4 | no | — |
| 450 | C2×Dic5 | — | 5 | 2 | no | — |
| 451 | C2×Dic5 | — | 5 | 2 | no | — |
| 452 | C2×Dic5 | — | 10 | 2 | no | — |
| 453 | C2×Dic5 | — | 10 | 2 | no | — |
| 454 | C2×Dic5 | — | 10 | 4 | no | — |
| 455 | C2×Dic5 | — | 10 | 4 | no | — |
| 456 | C2×Dic5 | — | 10 | 2 | no | — |
| 457 | C2×Dic5 | — | 10 | 4 | no | — |
| 458 | C2×Dic5 | — | 10 | 4 | no | — |
| 459 | C2×Dic5 | — | 10 | 4 | no | — |
| 460 | C2×Dic5 | — | 10 | 2 | no | — |
| 461 | C2×Dic5 | — | 10 | 2 | no | — |
| 462 | C2×Dic5 | — | 10 | 4 | no | — |
| 463 | C2×Dic5 | — | 10 | 2 | no | — |
| 464 | C2×Dic5 | — | 20 | 2 | no | — |
| 465 | C2×Dic5 | — | 20 | 2 | no | — |
| 466 | C2×Dic5 | D4×D5 | 1 | 4 | yes | — |
| 467 | D20 | — | 2 | 2 | no | — |
| 468 | D20 | — | 10 | 4 | no | — |
| 469 | D20 | — | 40 | 2 | no | — |
| 470 | D20 | — | 40 | 4 | no | — |
| 471 | D20 | — | 40 | 4 | no | — |
| 472 | C4×D5 | — | 2 | 4 | no | — |
| 473 | C4×D5 | — | 10 | 4 | no | — |
| 474 | C4×D5 | — | 10 | 2 | no | — |
| 475 | C4×D5 | — | 10 | 2 | no | — |
| 476 | C4×D5 | — | 10 | 4 | no | — |
| 477 | C4×D5 | — | 10 | 4 | no | — |
| 478 | C4×D5 | — | 10 | 4 | no | — |
| 479 | C4×D5 | — | 20 | 2 | no | — |
| 480 | C4×D5 | — | 20 | 2 | no | — |
| 481 | Dic10 | — | 2 | 2 | no | — |
| 482 | Dic10 | — | 10 | 4 | no | — |
| 483 | Dic10 | — | 10 | 4 | no | — |
| 484 | Dic10 | — | 10 | 4 | no | — |
| 485 | Dic10 | — | 10 | 4 | no | — |
| 486 | Dic10 | — | 20 | 4 | no | — |
| 487 | 2−1+4 | — | 50 | 2 | no | — |
| 488 | 2−1+4 | — | 50 | 1 | no | — |
| 489 | H(5,𝔽2) | — | 5 | 2 | no | — |
| 490 | H(5,𝔽2) | — | 25 | 2 | no | — |
| 491 | H(5,𝔽2) | — | 50 | 2 | no | — |
| 492 | H(5,𝔽2) | — | 50 | 1 | no | — |
| 493 | C2×#41 | — | 25 | 2 | no | — |
| 494 | C2×#41 | — | 25 | 1 | no | — |
| 495 | C2×#41 | — | 50 | 1 | no | — |
| 496 | C2×#41 | — | 50 | 4 | no | — |
| 497 | C2×#41 | — | 50 | 1 | no | — |
| 498 | C22×D4 | — | 25 | 1 | no | — |
| 499 | #127 | — | 50 | 1 | no | — |
| 500 | #127 | — | 50 | 2 | no | — |
| 501 | #124 | — | 50 | 1 | no | — |
| 502 | #124 | — | 50 | 2 | no | — |
| 503 | #121 | — | 50 | 1 | no | — |
| 504 | #121 | — | 50 | 4 | no | — |
| 505 | #121 | — | 50 | 1 | no | — |
| 506 | #120 | — | 5 | 4 | no | — |
| 507 | #120 | — | 25 | 4 | no | — |
| 508 | #120 | — | 25 | 1 | no | — |
| 509 | #120 | — | 25 | 1 | no | — |
| 510 | #120 | — | 25 | 1 | no | — |
| 511 | #120 | D52 | 1 | 1 | yes | characteristic, complemented |
| 512 | #117 | — | 25 | 2 | no | — |
| 513 | #117 | — | 25 | 1 | no | — |
| 514 | #99 | — | 5 | 2 | no | — |
| 515 | #99 | — | 5 | 4 | no | — |
| 516 | #99 | — | 25 | 2 | no | — |
| 517 | #99 | — | 25 | 4 | no | — |
| 518 | C52 | #3027 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 519 | C22×C5 | — | 2 | 2 | no | — |
| 520 | C22×C5 | — | 2 | 4 | no | — |
| 521 | C22×C5 | — | 2 | 2 | no | — |
| 522 | C22×C5 | — | 4 | 2 | no | — |
| 523 | C22×C5 | — | 4 | 2 | no | — |
| 524 | C22×C5 | — | 4 | 2 | no | — |
| 525 | C22×C5 | — | 4 | 4 | no | — |
| 526 | C22×C5 | — | 4 | 4 | no | — |
| 527 | C22×C5 | — | 4 | 4 | no | — |
| 528 | C22×C5 | — | 4 | 4 | no | — |
| 529 | C22×C5 | — | 4 | 4 | no | — |
| 530 | C22×C5 | — | 4 | 2 | no | — |
| 531 | C22×C5 | — | 4 | 4 | no | — |
| 532 | C22×C5 | — | 4 | 2 | no | — |
| 533 | C22×C5 | — | 4 | 4 | no | — |
| 534 | C22×C5 | — | 4 | 2 | no | — |
| 535 | C22×C5 | — | 8 | 8 | no | — |
| 536 | C22×C5 | — | 10 | 4 | no | — |
| 537 | C22×C5 | — | 20 | 4 | no | — |
| 538 | C22×C5 | — | 40 | 2 | no | — |
| 539 | C22×C5 | C2×D4×D5 | 1 | 4 | yes | — |
| 540 | C22×C5 | C2×D4×D5 | 1 | 2 | yes | — |
| 541 | C2×D5 | — | 2 | 4 | no | — |
| 542 | C2×D5 | — | 4 | 4 | no | — |
| 543 | C2×D5 | — | 8 | 2 | no | — |
| 544 | C2×D5 | — | 10 | 2 | no | — |
| 545 | C2×D5 | — | 20 | 2 | no | — |
| 546 | C2×D5 | — | 20 | 2 | no | — |
| 547 | C2×D5 | — | 20 | 4 | no | — |
| 548 | C2×D5 | — | 20 | 4 | no | — |
| 549 | C2×D5 | — | 20 | 2 | no | — |
| 550 | C2×D5 | — | 20 | 4 | no | — |
| 551 | C2×D5 | — | 20 | 4 | no | — |
| 552 | C2×D5 | — | 20 | 4 | no | — |
| 553 | C2×D5 | — | 20 | 2 | no | — |
| 554 | C2×D5 | — | 20 | 4 | no | — |
| 555 | C2×D5 | — | 20 | 2 | no | — |
| 556 | C2×D5 | — | 40 | 8 | no | — |
| 557 | C2×D5 | — | 40 | 4 | no | — |
| 558 | C4×C5 | — | 2 | 2 | no | — |
| 559 | C4×C5 | — | 4 | 2 | no | — |
| 560 | C4×C5 | — | 4 | 4 | no | — |
| 561 | C4×C5 | — | 4 | 2 | no | — |
| 562 | C4×C5 | — | 10 | 4 | no | — |
| 563 | C4×C5 | — | 20 | 4 | no | — |
| 564 | Dic5 | — | 2 | 4 | no | — |
| 565 | Dic5 | — | 4 | 4 | no | — |
| 566 | Dic5 | — | 5 | 4 | no | — |
| 567 | Dic5 | — | 5 | 2 | no | — |
| 568 | Dic5 | — | 5 | 2 | no | — |
| 569 | Dic5 | — | 10 | 4 | no | — |
| 570 | Dic5 | — | 10 | 2 | no | — |
| 571 | Dic5 | — | 10 | 2 | no | — |
| 572 | Dic5 | — | 10 | 2 | no | — |
| 573 | Dic5 | — | 20 | 2 | no | — |
| 574 | Dic5 | — | 20 | 4 | no | — |
| 575 | Dic5 | — | 20 | 2 | no | — |
| 576 | C24 | — | 25 | 1 | no | — |
| 577 | C24 | C2×D52 | 1 | 1 | yes | characteristic |
| 578 | #41 | — | 10 | 4 | no | — |
| 579 | #41 | — | 10 | 2 | no | — |
| 580 | #41 | — | 50 | 4 | no | — |
| 581 | #41 | — | 50 | 2 | no | — |
| 582 | #41 | — | 50 | 4 | no | — |
| 583 | #41 | — | 50 | 4 | no | — |
| 584 | #41 | — | 50 | 2 | no | — |
| 585 | #41 | — | 50 | 2 | no | — |
| 586 | #41 | — | 50 | 2 | no | — |
| 587 | #41 | — | 50 | 2 | no | — |
| 588 | #41 | — | 50 | 2 | no | — |
| 589 | #41 | — | 50 | 2 | no | — |
| 590 | #41 | — | 50 | 2 | no | — |
| 591 | #41 | — | 50 | 2 | no | — |
| 592 | #41 | — | 50 | 2 | no | — |
| 593 | #41 | — | 50 | 2 | no | — |
| 594 | C2×Q8 | — | 25 | 2 | no | — |
| 595 | C2×Q8 | — | 25 | 1 | no | — |
| 596 | C2×Q8 | — | 50 | 1 | no | — |
| 597 | C2×Q8 | — | 50 | 4 | no | — |
| 598 | C2×Q8 | — | 50 | 1 | no | — |
| 599 | C2×D4 | — | 2 | 1 | no | — |
| 600 | C2×D4 | — | 5 | 4 | no | — |
| 601 | C2×D4 | — | 10 | 4 | no | — |
| 602 | C2×D4 | — | 10 | 2 | no | — |
| 603 | C2×D4 | — | 10 | 4 | no | — |
| 604 | C2×D4 | — | 25 | 2 | no | — |
| 605 | C2×D4 | — | 25 | 1 | no | — |
| 606 | C2×D4 | — | 25 | 1 | no | — |
| 607 | C2×D4 | — | 50 | 1 | no | — |
| 608 | C2×D4 | — | 50 | 4 | no | — |
| 609 | C2×D4 | — | 50 | 1 | no | — |
| 610 | C2×D4 | — | 50 | 2 | no | — |
| 611 | C2×D4 | — | 50 | 1 | no | — |
| 612 | C2×D4 | — | 50 | 2 | no | — |
| 613 | C2×D4 | — | 50 | 2 | no | — |
| 614 | C2×D4 | — | 50 | 1 | no | — |
| 615 | C2×D4 | — | 50 | 4 | no | — |
| 616 | C2×D4 | — | 50 | 4 | no | — |
| 617 | C2×D4 | — | 50 | 1 | no | — |
| 618 | C2×D4 | — | 50 | 1 | no | — |
| 619 | C2×D4 | — | 50 | 1 | no | — |
| 620 | C2×D4 | C2×D52 | 1 | 1 | yes | characteristic |
| 621 | C22×C4 | — | 25 | 4 | no | — |
| 622 | C22×C4 | — | 25 | 1 | no | — |
| 623 | C22×C4 | — | 25 | 1 | no | — |
| 624 | C22×C4 | — | 25 | 1 | no | — |
| 625 | C22×C4 | — | 50 | 2 | no | — |
| 626 | C22×C4 | — | 50 | 2 | no | — |
| 627 | C4⋊C4 | — | 50 | 1 | no | — |
| 628 | C4⋊C4 | — | 50 | 2 | no | — |
| 629 | C22⋊C4 | — | 2 | 1 | no | — |
| 630 | C22⋊C4 | — | 5 | 4 | no | — |
| 631 | C22⋊C4 | — | 10 | 4 | no | — |
| 632 | C22⋊C4 | — | 25 | 1 | no | — |
| 633 | C22⋊C4 | — | 50 | 1 | no | — |
| 634 | C22⋊C4 | — | 50 | 4 | no | — |
| 635 | C22⋊C4 | — | 50 | 1 | no | — |
| 636 | C22⋊C4 | — | 50 | 1 | no | — |
| 637 | C22⋊C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 638 | C42 | — | 50 | 1 | no | — |
| 639 | C42 | — | 50 | 2 | no | — |
| 640 | C2×C5 | — | 2 | 4 | no | — |
| 641 | C2×C5 | — | 2 | 4 | no | — |
| 642 | C2×C5 | — | 2 | 2 | no | — |
| 643 | C2×C5 | — | 2 | 2 | no | — |
| 644 | C2×C5 | — | 4 | 4 | no | — |
| 645 | C2×C5 | — | 4 | 2 | no | — |
| 646 | C2×C5 | — | 8 | 2 | no | — |
| 647 | C2×C5 | — | 8 | 4 | no | — |
| 648 | C2×C5 | — | 8 | 2 | no | — |
| 649 | C2×C5 | — | 20 | 4 | no | — |
| 650 | C2×C5 | D5×#120 | 1 | 2 | yes | — |
| 651 | D5 | — | 4 | 4 | no | — |
| 652 | D5 | — | 20 | 2 | no | — |
| 653 | D5 | — | 40 | 2 | no | — |
| 654 | D5 | — | 40 | 4 | no | — |
| 655 | D5 | — | 40 | 2 | no | — |
| 656 | C23 | — | 2 | 2 | no | — |
| 657 | C23 | — | 2 | 1 | no | — |
| 658 | C23 | — | 5 | 4 | no | — |
| 659 | C23 | — | 8 | 1 | no | — |
| 660 | C23 | — | 10 | 2 | no | — |
| 661 | C23 | — | 25 | 1 | no | — |
| 662 | C23 | — | 50 | 2 | no | — |
| 663 | C23 | — | 50 | 2 | no | — |
| 664 | C23 | — | 50 | 1 | no | — |
| 665 | C23 | — | 200 | 1 | no | — |
| 666 | C23 | #87886 | 1 | 1 | yes | characteristic |
| 667 | C23 | C22×D52 | 1 | 1 | yes | characteristic |
| 668 | Q8 | — | 10 | 2 | no | — |
| 669 | Q8 | — | 50 | 2 | no | — |
| 670 | Q8 | — | 50 | 2 | no | — |
| 671 | Q8 | — | 50 | 2 | no | — |
| 672 | Q8 | — | 50 | 2 | no | — |
| 673 | D4 | — | 2 | 2 | no | — |
| 674 | D4 | — | 8 | 1 | no | — |
| 675 | D4 | — | 10 | 2 | no | — |
| 676 | D4 | — | 10 | 4 | no | — |
| 677 | D4 | — | 10 | 4 | no | — |
| 678 | D4 | — | 10 | 4 | no | — |
| 679 | D4 | — | 40 | 4 | no | — |
| 680 | D4 | — | 50 | 4 | no | — |
| 681 | D4 | — | 50 | 2 | no | — |
| 682 | D4 | — | 50 | 2 | no | — |
| 683 | D4 | — | 50 | 2 | no | — |
| 684 | D4 | — | 50 | 2 | no | — |
| 685 | D4 | — | 50 | 2 | no | — |
| 686 | D4 | — | 100 | 1 | no | — |
| 687 | D4 | — | 100 | 1 | no | — |
| 688 | D4 | — | 100 | 2 | no | — |
| 689 | D4 | — | 200 | 1 | no | — |
| 690 | D4 | — | 200 | 4 | no | — |
| 691 | D4 | — | 200 | 1 | no | — |
| 692 | D4 | — | 200 | 1 | no | — |
| 693 | C2×C4 | — | 2 | 1 | no | — |
| 694 | C2×C4 | — | 5 | 4 | no | — |
| 695 | C2×C4 | — | 10 | 4 | no | — |
| 696 | C2×C4 | — | 10 | 2 | no | — |
| 697 | C2×C4 | — | 10 | 4 | no | — |
| 698 | C2×C4 | — | 25 | 2 | no | — |
| 699 | C2×C4 | — | 25 | 2 | no | — |
| 700 | C2×C4 | — | 25 | 1 | no | — |
| 701 | C2×C4 | — | 25 | 1 | no | — |
| 702 | C2×C4 | — | 25 | 1 | no | — |
| 703 | C2×C4 | — | 50 | 1 | no | — |
| 704 | C2×C4 | — | 50 | 1 | no | — |
| 705 | C2×C4 | — | 50 | 2 | no | — |
| 706 | C2×C4 | — | 50 | 4 | no | — |
| 707 | C2×C4 | — | 50 | 4 | no | — |
| 708 | C2×C4 | — | 50 | 4 | no | — |
| 709 | C2×C4 | — | 50 | 1 | no | — |
| 710 | C2×C4 | — | 50 | 1 | no | — |
| 711 | C2×C4 | — | 50 | 1 | no | — |
| 712 | C2×C4 | #87886 | 1 | 1 | yes | characteristic |
| 713 | C5 | — | 2 | 2 | no | — |
| 714 | C5 | #10612036 | 1 | 2 | yes | complemented |
| 715 | C22 | — | 2 | 1 | no | — |
| 716 | C22 | — | 4 | 1 | no | — |
| 717 | C22 | — | 4 | 1 | no | — |
| 718 | C22 | — | 4 | 1 | no | — |
| 719 | C22 | — | 4 | 4 | no | — |
| 720 | C22 | — | 4 | 1 | no | — |
| 721 | C22 | — | 4 | 1 | no | — |
| 722 | C22 | — | 10 | 4 | no | — |
| 723 | C22 | — | 20 | 4 | no | — |
| 724 | C22 | — | 40 | 2 | no | — |
| 725 | C22 | — | 50 | 1 | no | — |
| 726 | C22 | — | 100 | 1 | no | — |
| 727 | C22 | — | 100 | 1 | no | — |
| 728 | C22 | — | 100 | 1 | no | — |
| 729 | C22 | — | 100 | 4 | no | — |
| 730 | C22 | — | 100 | 1 | no | — |
| 731 | C22 | — | 200 | 2 | no | — |
| 732 | C22 | D4×D52 | 1 | 2 | yes | — |
| 733 | C22 | C2×#87886 | 1 | 1 | yes | characteristic |
| 734 | C4 | — | 2 | 1 | no | — |
| 735 | C4 | — | 4 | 1 | no | — |
| 736 | C4 | — | 10 | 4 | no | — |
| 737 | C4 | — | 20 | 4 | no | — |
| 738 | C4 | — | 25 | 1 | no | — |
| 739 | C4 | — | 25 | 1 | no | — |
| 740 | C4 | — | 25 | 2 | no | — |
| 741 | C4 | — | 50 | 1 | no | — |
| 742 | C4 | — | 100 | 1 | no | — |
| 743 | C2 | — | 2 | 1 | no | — |
| 744 | C2 | — | 2 | 2 | no | — |
| 745 | C2 | — | 4 | 1 | no | — |
| 746 | C2 | — | 8 | 1 | no | — |
| 747 | C2 | — | 20 | 4 | no | — |
| 748 | C2 | — | 100 | 1 | no | — |
| 749 | C2 | — | 200 | 1 | no | — |
| 750 | C2 | #13106387 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | #13106387 |
| commutator, cosocle | C23×C52 | C24 |
| Frattini | C23 | C22×D52 |
| Fitting | C52×#120 | C22 |
| socle | C2×C52 | C2×#120 |
| hypercenter | #120 | D52 |
| hypocenter | C52 | #3027 |
| LCS | G ▷ C23×C52 ▷ C2×C52 ▷ C52 | |
| UCS | C1 ◁ C2 ◁ C23 ◁ #120 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13107825 | C2 | semidirect |
| 2. #13107115 | C2 | semidirect |
| 3. #13106588 | C2 | semidirect |
| 4. C5×#65321 | C2 | semidirect |
| 5. #13101906 | C2 | semidirect |
| 6. #13101619 | C2 | semidirect |
| 7. #13101597 | C2 | semidirect |
| 8. #13100591 | C2 | semidirect |
| 9. #13100587 | C2 | semidirect |
| 10. C22×C22⋊(C5⋊D5) | C22 | semidirect |
| 22. C52×#120 | C22 | semidirect |
| 23. #11717273 | C22 | semidirect |
| 26. #11717257 | C22 | semidirect |
| 29. #11717202 | C22 | semidirect |
| 30. #11717197 | C22 | semidirect |
| 31. C5×#4099 | C22 | semidirect |
| 32. #11717099 | C22 | semidirect |
| 35. #11717075 | C22 | semidirect |
| 37. C5×#3966 | C22 | semidirect |
| 38. C5×#3938 | C22 | semidirect |
| 39. #11716622 | C22 | semidirect |
| 40. #11716621 | C22 | semidirect |
| 52. C2×C22⋊(C5⋊D5) | D4 | semidirect |
| 54. C22×#1039 | D4 | semidirect |
| 59. C2×C4×C5⋊D5 | D4 | semidirect |
| 60. C2×#6045 | D4 | semidirect |
| 71. C2×#6039 | D4 | semidirect |
| 74. C2×#6037 | D4 | semidirect |
| 85. C2×D5×Dic5 | D4 | semidirect |
| 113. #65321 | D5 | semidirect |
| 193. C5×#120 | C2×D5 | semidirect |
| 196. #4099 | C2×D5 | semidirect |
| 221. #3966 | C2×D5 | semidirect |
| 224. #3938 | C2×D5 | semidirect |
| 511. #120 | D52 | semidirect |
| 518. C52 | #3027 | semidirect |
| 714. C5 | #10612036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13107825 | 2 |
| #13107115 | 2 |
| #13106588 | 2 |
| C5×#65321 | 2 |
| #13101906 | 2 |
| #13101619 | 2 |
| #13101597 | 2 |
| #13100591 | 2 |
| #13100587 | 2 |
| #10612036 | 5 |