← #72223029
Subgroups — #72223029
Order 3200.
1058 conjugacy classes of subgroups.
The subgroup lattice has 381 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C5×#66082 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13105905 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | M16×#1039 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#65414 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#11716609 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13101050 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #13101049 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | C2×C5×#709 | C22 | 1 | 2 | yes | — |
| 9 | C2×C52×M16 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C4×#1039 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#87804 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C5×#681 | C22 | 1 | 2 | yes | — |
| 13 | C5×#4055 | C4 | 1 | 4 | yes | complemented |
| 14 | C5×#4054 | C4 | 1 | 4 | yes | complemented |
| 15 | C5×#4050 | C22 | 1 | 4 | yes | — |
| 16 | #11716933 | C22 | 1 | 8 | yes | complemented |
| 17 | #11716932 | — | 2 | 4 | no | — |
| 18 | D5×#681 | — | 2 | 4 | no | — |
| 19 | #11716682 | C22 | 1 | 2 | yes | complemented |
| 20 | C8×#1039 | C22 | 1 | 2 | yes | complemented |
| 21 | C5×#3951 | C22 | 1 | 4 | yes | complemented |
| 22 | #11716609 | C22 | 1 | 4 | yes | complemented |
| 23 | #11716609 | C22 | 1 | 4 | yes | complemented |
| 24 | #10615731 | — | 5 | 1 | no | maximal |
| 25 | #10610989 | — | 5 | 1 | no | maximal |
| 26 | C22×C4×C52 | C23 | 1 | 1 | yes | characteristic |
| 27 | C22×#1039 | — | 2 | 1 | no | — |
| 28 | C2×C5×C22⋊D5 | — | 2 | 2 | no | — |
| 29 | C5×#709 | — | 2 | 2 | no | — |
| 30 | C5×#709 | — | 2 | 2 | no | — |
| 31 | C5×#709 | C2×C4 | 1 | 4 | yes | — |
| 32 | C5×#709 | C23 | 1 | 4 | yes | — |
| 33 | C2×C5×D20 | C2×C4 | 1 | 2 | yes | — |
| 34 | C2×C4×C5×D5 | — | 2 | 2 | no | — |
| 35 | C2×C5×Dic10 | C2×C4 | 1 | 2 | yes | — |
| 36 | C52×M16 | C2×C4 | 1 | 4 | yes | — |
| 37 | C2×C52×C8 | C23 | 1 | 2 | yes | — |
| 38 | C4×#1039 | — | 2 | 1 | no | — |
| 39 | C4×#1039 | C23 | 1 | 1 | yes | characteristic |
| 40 | C4×#1039 | C23 | 1 | 1 | yes | characteristic |
| 41 | #87804 | D4 | 1 | 4 | yes | — |
| 42 | C2×#6029 | C23 | 1 | 2 | yes | — |
| 43 | C5×#681 | — | 2 | 2 | no | — |
| 44 | C5×#681 | C23 | 1 | 4 | yes | — |
| 45 | C2×C5×#168 | — | 2 | 2 | no | — |
| 46 | C5×Dic20 | C2×C4 | 1 | 4 | yes | complemented |
| 47 | C5×D40 | C2×C4 | 1 | 4 | yes | complemented |
| 48 | C5×#677 | C2×C4 | 1 | 8 | yes | complemented |
| 49 | #87768 | — | 2 | 8 | no | — |
| 50 | D5×#168 | — | 2 | 8 | no | — |
| 51 | C5×#575 | — | 5 | 1 | no | — |
| 52 | #66153 | — | 5 | 2 | no | — |
| 53 | #66082 | D5 | 1 | 1 | yes | characteristic |
| 54 | #66079 | — | 5 | 2 | no | — |
| 55 | C5×#430 | — | 5 | 1 | no | — |
| 56 | C2×#3969 | — | 5 | 2 | no | — |
| 57 | #65486 | — | 5 | 4 | no | — |
| 58 | #65485 | — | 5 | 4 | no | — |
| 59 | C2×#3957 | — | 5 | 2 | no | — |
| 60 | #65414 | D5 | 1 | 1 | yes | characteristic, complemented |
| 61 | M16×Dic5 | — | 5 | 1 | no | — |
| 62 | M16×Dic5 | — | 5 | 1 | no | — |
| 63 | M16×Dic5 | — | 10 | 2 | no | — |
| 64 | #65184 | — | 5 | 4 | no | — |
| 65 | #65183 | — | 5 | 4 | no | — |
| 66 | C23×C52 | #41 | 1 | 1 | yes | characteristic |
| 67 | C22×C5×D5 | — | 2 | 2 | no | — |
| 68 | C2×C4×C52 | C22×C4 | 1 | 2 | yes | — |
| 69 | C2×C4×C52 | C2×D4 | 1 | 2 | yes | — |
| 70 | C2×C4×C52 | #41 | 1 | 1 | yes | characteristic |
| 71 | C2×C4×C52 | C24 | 1 | 1 | yes | characteristic |
| 72 | C2×#1039 | — | 2 | 1 | no | — |
| 73 | C2×#1039 | — | 2 | 1 | no | — |
| 74 | C2×#1039 | — | 4 | 2 | no | — |
| 75 | C5×C22⋊D5 | — | 2 | 4 | no | — |
| 76 | C5×C22⋊D5 | — | 2 | 4 | no | — |
| 77 | C2×C5×Dic5 | — | 2 | 2 | no | — |
| 78 | C5×D20 | — | 2 | 2 | no | — |
| 79 | C5×D20 | C22×C4 | 1 | 4 | yes | — |
| 80 | C4×C5×D5 | — | 2 | 4 | no | — |
| 81 | C4×C5×D5 | — | 2 | 4 | no | — |
| 82 | C5×Dic10 | — | 2 | 2 | no | — |
| 83 | C5×Dic10 | C22×C4 | 1 | 4 | yes | — |
| 84 | C52×C8 | C22×C4 | 1 | 4 | yes | — |
| 85 | #6029 | C2×D4 | 1 | 4 | yes | — |
| 86 | C5×#168 | — | 2 | 4 | no | — |
| 87 | C2×C5×#41 | — | 5 | 2 | no | — |
| 88 | C2×#709 | C2×D5 | 1 | 2 | yes | — |
| 89 | C5×#137 | — | 5 | 4 | no | — |
| 90 | C5×AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 91 | C5×#135 | — | 5 | 4 | no | — |
| 92 | C2×C5×M16 | — | 2 | 2 | no | — |
| 93 | C2×C5×M16 | — | 5 | 2 | no | — |
| 94 | C2×C5×M16 | C2×D5 | 1 | 1 | yes | characteristic |
| 95 | C2×C5×M16 | C2×D5 | 1 | 1 | yes | characteristic |
| 96 | #4094 | — | 5 | 8 | no | — |
| 97 | #4094 | — | 10 | 4 | no | — |
| 98 | C2×C4×Dic5 | — | 5 | 1 | no | — |
| 99 | C2×C4×Dic5 | — | 5 | 1 | no | — |
| 100 | C2×C4×Dic5 | — | 10 | 2 | no | — |
| 101 | C2×#681 | — | 5 | 1 | no | — |
| 102 | C2×#681 | — | 5 | 1 | no | — |
| 103 | C2×#681 | — | 10 | 2 | no | — |
| 104 | C2×#681 | — | 10 | 4 | no | — |
| 105 | C2×#681 | C2×D5 | 1 | 2 | yes | — |
| 106 | #4055 | Dic5 | 1 | 4 | yes | complemented |
| 107 | #4054 | Dic5 | 1 | 4 | yes | complemented |
| 108 | #4053 | — | 5 | 8 | no | — |
| 109 | D5×M16 | — | 10 | 4 | no | — |
| 110 | #4050 | C2×D5 | 1 | 4 | yes | — |
| 111 | #4047 | — | 10 | 4 | no | — |
| 112 | C5×#108 | — | 5 | 4 | no | — |
| 113 | #3969 | — | 5 | 4 | no | — |
| 114 | #3969 | — | 5 | 4 | no | — |
| 115 | #3957 | — | 5 | 4 | no | — |
| 116 | #3957 | — | 5 | 4 | no | — |
| 117 | #3951 | C2×D5 | 1 | 4 | yes | complemented |
| 118 | #3947 | — | 5 | 2 | no | — |
| 119 | #3947 | — | 5 | 2 | no | — |
| 120 | #3947 | — | 10 | 4 | no | — |
| 121 | C8×Dic5 | — | 5 | 2 | no | — |
| 122 | C8×Dic5 | — | 5 | 2 | no | — |
| 123 | C8×Dic5 | — | 10 | 4 | no | — |
| 124 | #2956 | — | 25 | 1 | no | Sylow |
| 125 | C22×C52 | — | 4 | 1 | no | — |
| 126 | C22×C52 | C4×D4 | 1 | 2 | yes | — |
| 127 | C22×C52 | C2×#41 | 1 | 1 | yes | characteristic |
| 128 | C2×C5×D5 | — | 2 | 4 | no | — |
| 129 | C2×C5×D5 | — | 8 | 2 | no | — |
| 130 | C4×C52 | C4×D4 | 1 | 2 | yes | — |
| 131 | C4×C52 | C23×C4 | 1 | 1 | yes | characteristic |
| 132 | C4×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 133 | #1039 | — | 2 | 2 | no | — |
| 134 | #1039 | — | 4 | 1 | no | — |
| 135 | C5×Dic5 | — | 2 | 4 | no | — |
| 136 | C5×#41 | — | 5 | 4 | no | — |
| 137 | C5×#41 | — | 5 | 4 | no | — |
| 138 | C5×#41 | — | 10 | 2 | no | — |
| 139 | C5×#41 | — | 10 | 2 | no | — |
| 140 | C2×C5×Q8 | — | 5 | 2 | no | — |
| 141 | C2×C5×D4 | — | 5 | 2 | no | — |
| 142 | C2×C5×D4 | — | 10 | 2 | no | — |
| 143 | C22×C4×C5 | — | 2 | 2 | no | — |
| 144 | C22×C4×C5 | — | 10 | 2 | no | — |
| 145 | C22×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 146 | C22×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 147 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 148 | C22×Dic5 | — | 10 | 4 | no | — |
| 149 | C22×Dic5 | — | 10 | 1 | no | — |
| 150 | C22×Dic5 | — | 10 | 1 | no | — |
| 151 | #709 | — | 2 | 2 | no | — |
| 152 | #709 | — | 2 | 2 | no | — |
| 153 | #709 | C2×Dic5 | 1 | 4 | yes | — |
| 154 | #709 | C22×D5 | 1 | 4 | yes | — |
| 155 | C2×D20 | C2×Dic5 | 1 | 2 | yes | — |
| 156 | C2×C4×D5 | — | 2 | 2 | no | — |
| 157 | C2×Dic10 | C2×Dic5 | 1 | 2 | yes | — |
| 158 | C5×Q16 | — | 5 | 4 | no | — |
| 159 | C5×SD16 | — | 5 | 8 | no | — |
| 160 | C5×D8 | — | 5 | 4 | no | — |
| 161 | C5×M16 | — | 2 | 8 | no | — |
| 162 | C5×M16 | — | 5 | 4 | no | — |
| 163 | C5×M16 | — | 10 | 2 | no | — |
| 164 | C5×M16 | C4×D5 | 1 | 4 | yes | — |
| 165 | C5×M16 | C2×Dic5 | 1 | 4 | yes | — |
| 166 | C2×C5×C8 | — | 2 | 4 | no | — |
| 167 | C2×C5×C8 | — | 10 | 2 | no | — |
| 168 | C2×C5×C8 | C22×D5 | 1 | 2 | yes | — |
| 169 | C2×C5×C8 | C22×D5 | 1 | 2 | yes | — |
| 170 | C4×Dic5 | — | 5 | 1 | no | — |
| 171 | C4×Dic5 | — | 5 | 1 | no | — |
| 172 | C4×Dic5 | — | 5 | 1 | no | — |
| 173 | C4×Dic5 | — | 5 | 1 | no | — |
| 174 | C4×Dic5 | — | 10 | 2 | no | — |
| 175 | C4×Dic5 | — | 10 | 2 | no | — |
| 176 | C4×Dic5 | — | 10 | 4 | no | — |
| 177 | C4×Dic5 | — | 10 | 1 | no | — |
| 178 | C4×Dic5 | — | 10 | 1 | no | — |
| 179 | #681 | — | 2 | 2 | no | — |
| 180 | #681 | — | 5 | 4 | no | — |
| 181 | #681 | — | 5 | 4 | no | — |
| 182 | #681 | — | 10 | 8 | no | — |
| 183 | #681 | — | 10 | 8 | no | — |
| 184 | #681 | C22×D5 | 1 | 4 | yes | — |
| 185 | C2×#168 | — | 2 | 2 | no | — |
| 186 | C2×#168 | — | 5 | 2 | no | — |
| 187 | C2×#168 | — | 5 | 2 | no | — |
| 188 | C2×#168 | — | 10 | 4 | no | — |
| 189 | C2×#168 | — | 10 | 8 | no | — |
| 190 | Dic20 | C2×Dic5 | 1 | 4 | yes | complemented |
| 191 | D40 | C2×Dic5 | 1 | 4 | yes | complemented |
| 192 | #677 | C2×Dic5 | 1 | 8 | yes | complemented |
| 193 | #676 | — | 10 | 8 | no | — |
| 194 | C8×D5 | — | 10 | 8 | no | — |
| 195 | #575 | — | 5 | 1 | no | — |
| 196 | #568 | — | 25 | 2 | no | — |
| 197 | #444 | — | 25 | 4 | no | — |
| 198 | #443 | — | 25 | 4 | no | — |
| 199 | #430 | — | 5 | 1 | no | — |
| 200 | C2×#104 | — | 25 | 2 | no | — |
| 201 | C4×M16 | — | 25 | 1 | no | — |
| 202 | C2×C52 | — | 2 | 1 | no | — |
| 203 | C2×C52 | — | 2 | 2 | no | — |
| 204 | C2×C52 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 205 | C5×D5 | — | 4 | 4 | no | — |
| 206 | C23×C5 | — | 2 | 2 | no | — |
| 207 | C23×C5 | — | 10 | 2 | no | — |
| 208 | C23×C5 | #711 | 1 | 1 | yes | characteristic |
| 209 | C23×C5 | #713 | 1 | 1 | yes | characteristic |
| 210 | C22×D5 | — | 2 | 2 | no | — |
| 211 | C5×Q8 | — | 5 | 4 | no | — |
| 212 | C5×Q8 | — | 10 | 2 | no | — |
| 213 | C5×D4 | — | 5 | 4 | no | — |
| 214 | C5×D4 | — | 10 | 4 | no | — |
| 215 | C5×D4 | — | 10 | 4 | no | — |
| 216 | C5×D4 | — | 10 | 2 | no | — |
| 217 | C2×C4×C5 | — | 2 | 2 | no | — |
| 218 | C2×C4×C5 | — | 2 | 4 | no | — |
| 219 | C2×C4×C5 | — | 2 | 4 | no | — |
| 220 | C2×C4×C5 | — | 2 | 2 | no | — |
| 221 | C2×C4×C5 | — | 10 | 2 | no | — |
| 222 | C2×C4×C5 | — | 10 | 4 | no | — |
| 223 | C2×C4×C5 | — | 10 | 4 | no | — |
| 224 | C2×C4×C5 | C2×C4×D5 | 1 | 2 | yes | — |
| 225 | C2×C4×C5 | D4×D5 | 1 | 2 | yes | — |
| 226 | C2×C4×C5 | D4×D5 | 1 | 2 | yes | — |
| 227 | C2×C4×C5 | #711 | 1 | 1 | yes | characteristic |
| 228 | C2×C4×C5 | #713 | 1 | 1 | yes | characteristic |
| 229 | C2×C4×C5 | C22×Dic5 | 1 | 2 | yes | — |
| 230 | C2×C4×C5 | C23×D5 | 1 | 1 | yes | characteristic |
| 231 | C2×C4×C5 | C23×D5 | 1 | 1 | yes | characteristic |
| 232 | C22⋊D5 | — | 2 | 4 | no | — |
| 233 | C22⋊D5 | — | 2 | 4 | no | — |
| 234 | C2×Dic5 | — | 2 | 2 | no | — |
| 235 | C2×Dic5 | — | 10 | 4 | no | — |
| 236 | C2×Dic5 | — | 10 | 1 | no | — |
| 237 | C2×Dic5 | — | 10 | 1 | no | — |
| 238 | C2×Dic5 | — | 10 | 4 | no | — |
| 239 | C2×Dic5 | — | 10 | 1 | no | — |
| 240 | C2×Dic5 | — | 10 | 1 | no | — |
| 241 | C2×Dic5 | — | 20 | 2 | no | — |
| 242 | C2×Dic5 | — | 20 | 2 | no | — |
| 243 | C2×Dic5 | — | 20 | 8 | no | — |
| 244 | D20 | — | 2 | 2 | no | — |
| 245 | D20 | C22×Dic5 | 1 | 4 | yes | — |
| 246 | C4×D5 | — | 2 | 4 | no | — |
| 247 | C4×D5 | — | 2 | 4 | no | — |
| 248 | Dic10 | — | 2 | 2 | no | — |
| 249 | Dic10 | C22×Dic5 | 1 | 4 | yes | — |
| 250 | C5×C8 | — | 2 | 8 | no | — |
| 251 | C5×C8 | — | 10 | 4 | no | — |
| 252 | C5×C8 | C2×C4×D5 | 1 | 4 | yes | — |
| 253 | C5×C8 | C22×Dic5 | 1 | 4 | yes | — |
| 254 | #168 | — | 2 | 4 | no | — |
| 255 | #168 | — | 5 | 4 | no | — |
| 256 | #168 | — | 5 | 4 | no | — |
| 257 | #168 | — | 10 | 8 | no | — |
| 258 | C2×#41 | — | 5 | 2 | no | — |
| 259 | #137 | — | 5 | 4 | no | — |
| 260 | AGL(1,ℤ/8) | — | 5 | 4 | no | — |
| 261 | #135 | — | 5 | 4 | no | — |
| 262 | #131 | — | 25 | 8 | no | — |
| 263 | #131 | — | 50 | 4 | no | — |
| 264 | C2×M16 | — | 5 | 2 | no | — |
| 265 | C2×M16 | — | 25 | 1 | no | — |
| 266 | C2×M16 | — | 50 | 4 | no | — |
| 267 | C2×M16 | D52 | 1 | 1 | yes | characteristic |
| 268 | C2×C42 | — | 25 | 1 | no | — |
| 269 | #108 | — | 5 | 4 | no | — |
| 270 | #104 | — | 25 | 4 | no | — |
| 271 | #104 | — | 25 | 4 | no | — |
| 272 | #97 | — | 25 | 2 | no | — |
| 273 | C4×C8 | — | 25 | 2 | no | — |
| 274 | C52 | #2956 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 275 | C22×C5 | — | 2 | 2 | no | — |
| 276 | C22×C5 | — | 2 | 4 | no | — |
| 277 | C22×C5 | — | 4 | 1 | no | — |
| 278 | C22×C5 | — | 4 | 1 | no | — |
| 279 | C22×C5 | — | 4 | 4 | no | — |
| 280 | C22×C5 | — | 10 | 4 | no | — |
| 281 | C22×C5 | — | 40 | 2 | no | — |
| 282 | C22×C5 | #4039 | 1 | 2 | yes | — |
| 283 | C22×C5 | D4×Dic5 | 1 | 2 | yes | — |
| 284 | C22×C5 | C2×#711 | 1 | 1 | yes | characteristic |
| 285 | C22×C5 | C2×#713 | 1 | 1 | yes | characteristic |
| 286 | C2×D5 | — | 2 | 4 | no | — |
| 287 | C2×D5 | — | 8 | 2 | no | — |
| 288 | C4×C5 | — | 2 | 2 | no | — |
| 289 | C4×C5 | — | 2 | 2 | no | — |
| 290 | C4×C5 | — | 2 | 4 | no | — |
| 291 | C4×C5 | — | 10 | 4 | no | — |
| 292 | C4×C5 | #4039 | 1 | 2 | yes | — |
| 293 | C4×C5 | D4×Dic5 | 1 | 2 | yes | — |
| 294 | C4×C5 | C22×C4×D5 | 1 | 1 | yes | characteristic |
| 295 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 296 | C4×C5 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 297 | C4×C5 | C23×Dic5 | 1 | 1 | yes | characteristic |
| 298 | Dic5 | — | 2 | 4 | no | — |
| 299 | Dic5 | — | 10 | 8 | no | — |
| 300 | Dic5 | — | 10 | 2 | no | — |
| 301 | Dic5 | — | 10 | 2 | no | — |
| 302 | Dic5 | — | 20 | 4 | no | — |
| 303 | Dic5 | — | 20 | 1 | no | — |
| 304 | Dic5 | — | 20 | 1 | no | — |
| 305 | #41 | — | 5 | 4 | no | — |
| 306 | #41 | — | 5 | 4 | no | — |
| 307 | #41 | — | 10 | 2 | no | — |
| 308 | #41 | — | 10 | 2 | no | — |
| 309 | C2×Q8 | — | 5 | 2 | no | — |
| 310 | C2×D4 | — | 5 | 2 | no | — |
| 311 | C2×D4 | — | 10 | 2 | no | — |
| 312 | C22×C4 | — | 10 | 2 | no | — |
| 313 | C22×C4 | — | 50 | 1 | no | — |
| 314 | C22×C4 | C2×D52 | 1 | 1 | yes | characteristic |
| 315 | Q16 | — | 5 | 4 | no | — |
| 316 | SD16 | — | 5 | 8 | no | — |
| 317 | D8 | — | 5 | 4 | no | — |
| 318 | M16 | — | 5 | 4 | no | — |
| 319 | M16 | — | 10 | 2 | no | — |
| 320 | M16 | — | 25 | 4 | no | — |
| 321 | M16 | — | 50 | 8 | no | — |
| 322 | M16 | D5×Dic5 | 1 | 4 | yes | — |
| 323 | C2×C8 | — | 10 | 2 | no | — |
| 324 | C2×C8 | — | 25 | 2 | no | — |
| 325 | C2×C8 | — | 50 | 8 | no | — |
| 326 | C2×C8 | C2×D52 | 1 | 2 | yes | — |
| 327 | C42 | — | 25 | 1 | no | — |
| 328 | C42 | — | 25 | 1 | no | — |
| 329 | C42 | — | 50 | 1 | no | — |
| 330 | C2×C5 | — | 2 | 4 | no | — |
| 331 | C2×C5 | — | 2 | 1 | no | — |
| 332 | C2×C5 | — | 2 | 2 | no | — |
| 333 | C2×C5 | — | 2 | 1 | no | — |
| 334 | C2×C5 | — | 2 | 2 | no | — |
| 335 | C2×C5 | — | 2 | 2 | no | — |
| 336 | C2×C5 | — | 4 | 4 | no | — |
| 337 | C2×C5 | — | 20 | 4 | no | — |
| 338 | C2×C5 | C2×#4039 | 1 | 1 | yes | characteristic |
| 339 | C2×C5 | C2×D4×Dic5 | 1 | 1 | yes | characteristic |
| 340 | D5 | — | 4 | 4 | no | — |
| 341 | C23 | — | 10 | 2 | no | — |
| 342 | C23 | #87871 | 1 | 1 | yes | characteristic |
| 343 | Q8 | — | 5 | 4 | no | — |
| 344 | Q8 | — | 10 | 2 | no | — |
| 345 | D4 | — | 5 | 4 | no | — |
| 346 | D4 | — | 10 | 4 | no | — |
| 347 | D4 | — | 10 | 4 | no | — |
| 348 | D4 | — | 10 | 2 | no | — |
| 349 | C2×C4 | — | 10 | 2 | no | — |
| 350 | C2×C4 | — | 10 | 4 | no | — |
| 351 | C2×C4 | — | 10 | 4 | no | — |
| 352 | C2×C4 | — | 50 | 1 | no | — |
| 353 | C2×C4 | — | 50 | 1 | no | — |
| 354 | C2×C4 | — | 100 | 2 | no | — |
| 355 | C2×C4 | #87871 | 1 | 1 | yes | characteristic |
| 356 | C2×C4 | #87877 | 1 | 2 | yes | — |
| 357 | C2×C4 | C2×D5×Dic5 | 1 | 2 | yes | — |
| 358 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 359 | C8 | — | 10 | 4 | no | — |
| 360 | C8 | — | 25 | 4 | no | — |
| 361 | C8 | C2×D5×Dic5 | 1 | 4 | yes | — |
| 362 | C5 | — | 2 | 2 | no | — |
| 363 | C5 | #10610989 | 1 | 1 | yes | characteristic, complemented |
| 364 | C5 | #10615731 | 1 | 1 | yes | characteristic, complemented |
| 365 | C22 | — | 4 | 1 | no | — |
| 366 | C22 | — | 10 | 4 | no | — |
| 367 | C22 | — | 40 | 2 | no | — |
| 368 | C22 | #11717017 | 1 | 2 | yes | — |
| 369 | C22 | C2×#87871 | 1 | 1 | yes | characteristic |
| 370 | C4 | — | 10 | 4 | no | — |
| 371 | C4 | — | 50 | 2 | no | — |
| 372 | C4 | — | 100 | 1 | no | — |
| 373 | C4 | #11717017 | 1 | 2 | yes | — |
| 374 | C4 | C2×#87877 | 1 | 1 | yes | characteristic |
| 375 | C4 | C22×D5×Dic5 | 1 | 1 | yes | characteristic |
| 376 | C2 | — | 2 | 1 | no | — |
| 377 | C2 | — | 2 | 2 | no | — |
| 378 | C2 | — | 20 | 4 | no | — |
| 379 | C2 | C2×#11717017 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta