Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
1114 conjugacy classes of subgroups; only the 176 normal subgroups are shown.
This group has 1114 conjugacy classes of subgroups — too many to draw. Only its 176 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×#11716920 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#11716909 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #13105723 | C2 | 1 | 2 | yes | maximal |
| 4 | #106×C5⋊D5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#65157 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13100986 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13100782 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13100660 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | C2×C4×D52 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#87872 | C22 | 1 | 2 | yes | — |
| 11 | C2×C8×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 12 | C4⋊C4×C5⋊D5 | C22 | 1 | 2 | yes | — |
| 13 | C2×C5×Dic20 | C22 | 1 | 2 | yes | complemented |
| 14 | C2×C5×#676 | C22 | 1 | 2 | yes | — |
| 15 | C5×#4043 | C22 | 1 | 4 | yes | — |
| 16 | #11717039 | — | 2 | 2 | no | — |
| 17 | #11717018 | — | 2 | 2 | no | — |
| 18 | #11717014 | — | 2 | 4 | no | — |
| 19 | #11716974 | C22 | 1 | 4 | yes | — |
| 20 | C2×#87775 | C22 | 1 | 2 | yes | complemented |
| 21 | C2×#87768 | C22 | 1 | 2 | yes | — |
| 22 | C2×#87767 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11716920 | — | 2 | 4 | no | — |
| 24 | #11716909 | — | 2 | 4 | no | — |
| 25 | C52×#106 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #11716684 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #11716675 | C22 | 1 | 2 | yes | complemented |
| 28 | C5×#3942 | C22 | 1 | 4 | yes | complemented |
| 29 | #11716607 | C22 | 1 | 4 | yes | complemented |
| 30 | D5×#470 | — | 5 | 2 | no | maximal |
| 31 | C22×D52 | D4 | 1 | 1 | yes | characteristic |
| 32 | C2×C4×C5⋊D5 | — | 2 | 2 | no | — |
| 33 | C2×C4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 34 | C2×C4×C5×D5 | C23 | 1 | 2 | yes | — |
| 35 | C2×C5×Dic10 | C23 | 1 | 4 | yes | — |
| 36 | C2×#6039 | — | 2 | 2 | no | — |
| 37 | C2×#6036 | — | 2 | 2 | no | — |
| 38 | C2×#6036 | D4 | 1 | 1 | yes | characteristic |
| 39 | C2×D5×Dic5 | D4 | 1 | 2 | yes | — |
| 40 | C4×D52 | — | 2 | 2 | no | — |
| 41 | C4×D52 | — | 2 | 2 | no | — |
| 42 | #87872 | — | 2 | 4 | no | — |
| 43 | #87872 | — | 2 | 4 | no | — |
| 44 | C2×C52×C8 | C23 | 1 | 1 | yes | characteristic |
| 45 | C52×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 46 | C4⋊#1039 | C23 | 1 | 2 | yes | — |
| 47 | #87806 | — | 2 | 2 | no | — |
| 48 | C2×#6029 | C23 | 1 | 1 | yes | characteristic |
| 49 | C8×C5⋊D5 | D4 | 1 | 4 | yes | — |
| 50 | C5×#685 | — | 2 | 4 | no | — |
| 51 | C5×C4⋊Dic5 | — | 2 | 4 | no | — |
| 52 | C2×C5×#168 | C23 | 1 | 2 | yes | — |
| 53 | C5×Dic20 | — | 2 | 4 | no | — |
| 54 | C5×#676 | — | 2 | 4 | no | — |
| 55 | #87781 | — | 2 | 4 | no | — |
| 56 | #87778 | — | 2 | 4 | no | — |
| 57 | #87775 | — | 2 | 4 | no | — |
| 58 | #87768 | — | 2 | 4 | no | — |
| 59 | #87767 | — | 2 | 2 | no | — |
| 60 | C2×D5×Q16 | — | 5 | 2 | no | — |
| 61 | C2×D5×M16 | — | 5 | 2 | no | — |
| 62 | D5×C22⋊Q8 | — | 5 | 4 | no | — |
| 63 | C5×#470 | — | 5 | 2 | no | — |
| 64 | #65478 | — | 5 | 2 | no | — |
| 65 | #65426 | — | 5 | 2 | no | — |
| 66 | #65341 | — | 5 | 4 | no | — |
| 67 | #65157 | D5 | 1 | 2 | yes | complemented |
| 68 | D5×#106 | — | 5 | 2 | no | — |
| 69 | D5×#106 | — | 10 | 2 | no | — |
| 70 | #65105 | — | 5 | 4 | no | — |
| 71 | D5×#103 | — | 5 | 4 | no | — |
| 72 | C22×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 73 | C22×C5×D5 | C2×D4 | 1 | 2 | yes | — |
| 74 | C2×D52 | — | 2 | 2 | no | — |
| 75 | C2×D52 | — | 2 | 4 | no | — |
| 76 | C2×C4×C52 | — | 2 | 2 | no | — |
| 77 | C2×C4×C52 | C24 | 1 | 1 | yes | characteristic |
| 78 | C2×#1039 | — | 2 | 2 | no | — |
| 79 | C2×#1039 | C2×D4 | 1 | 1 | yes | characteristic |
| 80 | C4×C5⋊D5 | — | 4 | 4 | no | — |
| 81 | C4×C5⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 82 | C4×C5⋊D5 | #41 | 1 | 2 | yes | — |
| 83 | C2×C5×Dic5 | — | 2 | 4 | no | — |
| 84 | C2×C5×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 85 | C4×C5×D5 | — | 2 | 2 | no | — |
| 86 | C4×C5×D5 | — | 2 | 2 | no | — |
| 87 | C5×Dic10 | — | 2 | 4 | no | — |
| 88 | C5×Dic10 | — | 2 | 4 | no | — |
| 89 | #6039 | — | 4 | 4 | no | — |
| 90 | #6036 | — | 2 | 2 | no | — |
| 91 | #6036 | — | 4 | 4 | no | — |
| 92 | D5×Dic5 | — | 2 | 4 | no | — |
| 93 | C52×C8 | C2×D4 | 1 | 2 | yes | — |
| 94 | #6029 | C2×D4 | 1 | 2 | yes | — |
| 95 | C5×#168 | — | 2 | 2 | no | — |
| 96 | C2×Q8×D5 | — | 5 | 4 | no | — |
| 97 | C22×C4×D5 | — | 5 | 2 | no | — |
| 98 | C2×C5×Q16 | — | 5 | 2 | no | — |
| 99 | C2×C5×M16 | — | 5 | 2 | no | — |
| 100 | C5×C22⋊Q8 | — | 5 | 4 | no | — |
| 101 | #4092 | — | 5 | 4 | no | — |
| 102 | C2×#689 | — | 5 | 4 | no | — |
| 103 | #4070 | — | 5 | 4 | no | — |
| 104 | C2×#681 | — | 5 | 2 | no | — |
| 105 | D5×Q16 | — | 10 | 8 | no | — |
| 106 | D5×M16 | — | 10 | 8 | no | — |
| 107 | C2×Dic20 | C2×D5 | 1 | 2 | yes | complemented |
| 108 | C2×#676 | — | 5 | 2 | no | — |
| 109 | C2×#676 | C2×D5 | 1 | 2 | yes | — |
| 110 | C2×C8×D5 | — | 5 | 2 | no | — |
| 111 | C2×C8×D5 | — | 5 | 2 | no | — |
| 112 | C2×C8×D5 | — | 10 | 2 | no | — |
| 113 | #4043 | C2×D5 | 1 | 4 | yes | — |
| 114 | #4042 | — | 10 | 4 | no | — |
| 115 | D5×C4⋊C4 | — | 5 | 4 | no | — |
| 116 | D5×C4⋊C4 | — | 10 | 4 | no | — |
| 117 | D5×C4⋊C4 | — | 10 | 4 | no | — |
| 118 | D5×C22⋊C4 | — | 10 | 4 | no | — |
| 119 | #4024 | — | 10 | 4 | no | — |
| 120 | C5×#106 | — | 2 | 2 | no | — |
| 121 | C5×#106 | C2×D5 | 1 | 2 | yes | complemented |
| 122 | C5×#103 | — | 5 | 4 | no | — |
| 123 | #3967 | — | 5 | 4 | no | — |
| 124 | #3949 | — | 5 | 2 | no | — |
| 125 | #3949 | — | 10 | 2 | no | — |
| 126 | #3948 | — | 5 | 4 | no | — |
| 127 | #3942 | C2×D5 | 1 | 4 | yes | complemented |
| 128 | #3940 | — | 5 | 4 | no | — |
| 129 | #3940 | — | 10 | 4 | no | — |
| 130 | C2×#470 | — | 25 | 1 | no | Sylow |
| 131 | C22×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C5⋊D5 | #121 | 1 | 2 | yes | — |
| 133 | C2×C5⋊D5 | #137 | 1 | 4 | yes | — |
| 134 | C2×C5×D5 | — | 2 | 2 | no | — |
| 135 | C2×C5×D5 | — | 2 | 4 | no | — |
| 136 | D52 | — | 4 | 4 | no | — |
| 137 | C4×C52 | — | 4 | 2 | no | — |
| 138 | C4×C52 | C22×D4 | 1 | 1 | yes | characteristic |
| 139 | C4×C52 | C2×#41 | 1 | 1 | yes | characteristic |
| 140 | #1039 | — | 4 | 2 | no | — |
| 141 | #1039 | #121 | 1 | 2 | yes | — |
| 142 | C5×Dic5 | — | 2 | 2 | no | — |
| 143 | C5×Dic5 | — | 4 | 4 | no | — |
| 144 | C23×D5 | — | 5 | 2 | no | — |
| 145 | C2×C5×Q8 | — | 5 | 4 | no | — |
| 146 | C22×C4×C5 | — | 5 | 2 | no | — |
| 147 | C22×Dic5 | — | 5 | 2 | no | — |
| 148 | Q8×D5 | — | 10 | 8 | no | — |
| 149 | Q8×D5 | — | 10 | 8 | no | — |
| 150 | C2×C4×D5 | — | 5 | 2 | no | — |
| 151 | C2×C4×D5 | — | 5 | 2 | no | — |
| 152 | C2×C4×D5 | — | 5 | 2 | no | — |
| 153 | C2×C4×D5 | — | 10 | 2 | no | — |
| 154 | C2×C4×D5 | — | 10 | 4 | no | — |
| 155 | C2×C4×D5 | — | 10 | 4 | no | — |
| 156 | C2×C4×D5 | — | 10 | 4 | no | — |
| 157 | C2×C4×D5 | — | 10 | 4 | no | — |
| 158 | C2×C4×D5 | — | 20 | 4 | no | — |
| 159 | C2×C4×D5 | C22×D5 | 1 | 2 | yes | — |
| 160 | C2×Dic10 | — | 10 | 4 | no | — |
| 161 | C2×Dic10 | C22×D5 | 1 | 4 | yes | — |
| 162 | C5×Q16 | — | 10 | 4 | no | — |
| 163 | C5×M16 | — | 10 | 4 | no | — |
| 164 | C2×C5×C8 | — | 2 | 2 | no | — |
| 165 | C2×C5×C8 | — | 5 | 2 | no | — |
| 166 | C2×C5×C8 | C22×D5 | 1 | 2 | yes | — |
| 167 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 168 | C5×C4⋊C4 | — | 10 | 4 | no | — |
| 169 | C5×C4⋊C4 | C22×D5 | 1 | 4 | yes | — |
| 170 | C5×C22⋊C4 | — | 10 | 4 | no | — |
| 171 | C22⋊Dic5 | — | 10 | 4 | no | — |
| 172 | #689 | — | 10 | 8 | no | — |
| 173 | #685 | — | 2 | 4 | no | — |
| 174 | #685 | — | 10 | 4 | no | — |
| 175 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 176 | C4⋊Dic5 | — | 5 | 4 | no | — |
| 177 | C4⋊Dic5 | — | 10 | 4 | no | — |
| 178 | #683 | — | 10 | 4 | no | — |
| 179 | #683 | — | 10 | 4 | no | — |
| 180 | #683 | — | 10 | 4 | no | — |
| 181 | #683 | — | 20 | 4 | no | — |
| 182 | #681 | — | 10 | 4 | no | — |
| 183 | C2×#168 | — | 5 | 2 | no | — |
| 184 | C2×#168 | — | 10 | 2 | no | — |
| 185 | C2×#168 | C22×D5 | 1 | 2 | yes | — |
| 186 | Dic20 | — | 2 | 4 | no | — |
| 187 | #676 | — | 2 | 4 | no | — |
| 188 | #676 | — | 10 | 4 | no | — |
| 189 | C8×D5 | — | 5 | 8 | no | — |
| 190 | C8×D5 | — | 10 | 8 | no | — |
| 191 | C8×D5 | — | 10 | 4 | no | — |
| 192 | C22×Q16 | — | 25 | 1 | no | — |
| 193 | C22×M16 | — | 25 | 1 | no | — |
| 194 | C2×C22⋊Q8 | — | 25 | 2 | no | — |
| 195 | #470 | — | 5 | 2 | no | — |
| 196 | #470 | — | 25 | 4 | no | — |
| 197 | #470 | — | 25 | 2 | no | — |
| 198 | C2×#106 | — | 25 | 1 | no | — |
| 199 | C2×#103 | — | 25 | 2 | no | — |
| 200 | C2×C52 | C2×#121 | 1 | 1 | yes | characteristic |
| 201 | C2×C52 | C2×#137 | 1 | 2 | yes | — |
| 202 | C5⋊D5 | #470 | 1 | 4 | yes | complemented |
| 203 | C5×D5 | — | 4 | 2 | no | — |
| 204 | C23×C5 | — | 5 | 2 | no | — |
| 205 | C22×D5 | — | 5 | 2 | no | — |
| 206 | C22×D5 | — | 10 | 2 | no | — |
| 207 | C22×D5 | — | 10 | 4 | no | — |
| 208 | C22×D5 | — | 10 | 8 | no | — |
| 209 | C22×D5 | D4×D5 | 1 | 2 | yes | — |
| 210 | C5×Q8 | — | 10 | 4 | no | — |
| 211 | C5×Q8 | — | 10 | 4 | no | — |
| 212 | C2×C4×C5 | — | 2 | 4 | no | — |
| 213 | C2×C4×C5 | — | 2 | 2 | no | — |
| 214 | C2×C4×C5 | — | 4 | 4 | no | — |
| 215 | C2×C4×C5 | — | 5 | 2 | no | — |
| 216 | C2×C4×C5 | — | 10 | 2 | no | — |
| 217 | C2×C4×C5 | — | 10 | 2 | no | — |
| 218 | C2×C4×C5 | — | 10 | 4 | no | — |
| 219 | C2×C4×C5 | C23×D5 | 1 | 2 | yes | — |
| 220 | C2×Dic5 | — | 2 | 4 | no | — |
| 221 | C2×Dic5 | — | 5 | 2 | no | — |
| 222 | C2×Dic5 | — | 10 | 2 | no | — |
| 223 | C2×Dic5 | — | 10 | 4 | no | — |
| 224 | C2×Dic5 | — | 10 | 4 | no | — |
| 225 | C2×Dic5 | — | 20 | 4 | no | — |
| 226 | C2×Dic5 | D4×D5 | 1 | 2 | yes | — |
| 227 | C4×D5 | — | 2 | 2 | no | — |
| 228 | C4×D5 | — | 2 | 2 | no | — |
| 229 | C4×D5 | — | 5 | 4 | no | — |
| 230 | C4×D5 | — | 5 | 4 | no | — |
| 231 | C4×D5 | — | 10 | 4 | no | — |
| 232 | C4×D5 | — | 10 | 4 | no | — |
| 233 | C4×D5 | — | 10 | 4 | no | — |
| 234 | C4×D5 | — | 10 | 4 | no | — |
| 235 | C4×D5 | — | 20 | 8 | no | — |
| 236 | C4×D5 | — | 20 | 8 | no | — |
| 237 | C4×D5 | — | 40 | 8 | no | — |
| 238 | Dic10 | — | 2 | 4 | no | — |
| 239 | Dic10 | — | 2 | 4 | no | — |
| 240 | Dic10 | — | 20 | 8 | no | — |
| 241 | C5×C8 | — | 2 | 4 | no | — |
| 242 | C5×C8 | — | 10 | 2 | no | — |
| 243 | C5×C8 | D4×D5 | 1 | 4 | yes | — |
| 244 | #168 | — | 2 | 2 | no | — |
| 245 | #168 | — | 5 | 4 | no | — |
| 246 | #168 | — | 10 | 4 | no | — |
| 247 | C22×Q8 | — | 25 | 2 | no | — |
| 248 | C23×C4 | — | 25 | 1 | no | — |
| 249 | C2×Q16 | — | 5 | 2 | no | — |
| 250 | C2×Q16 | — | 25 | 2 | no | — |
| 251 | C2×Q16 | — | 50 | 4 | no | — |
| 252 | C2×M16 | — | 5 | 2 | no | — |
| 253 | C2×M16 | — | 25 | 2 | no | — |
| 254 | C2×M16 | — | 50 | 4 | no | — |
| 255 | C22×C8 | — | 25 | 1 | no | — |
| 256 | C22×C8 | — | 25 | 1 | no | — |
| 257 | C22⋊Q8 | — | 5 | 4 | no | — |
| 258 | C22⋊Q8 | — | 25 | 4 | no | — |
| 259 | C22⋊Q8 | — | 50 | 4 | no | — |
| 260 | C2×C4⋊C4 | — | 25 | 2 | no | — |
| 261 | C2×C4⋊C4 | — | 50 | 2 | no | — |
| 262 | C2×C22⋊C4 | — | 50 | 2 | no | — |
| 263 | #106 | — | 25 | 1 | no | — |
| 264 | #106 | — | 25 | 2 | no | — |
| 265 | #106 | D52 | 1 | 1 | yes | characteristic, complemented |
| 266 | #103 | — | 5 | 4 | no | — |
| 267 | #103 | — | 25 | 4 | no | — |
| 268 | C52 | C2×#470 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 269 | C22×C5 | — | 2 | 2 | no | — |
| 270 | C22×C5 | — | 10 | 4 | no | — |
| 271 | C22×C5 | — | 10 | 2 | no | — |
| 272 | C22×C5 | C2×D4×D5 | 1 | 2 | yes | — |
| 273 | C2×D5 | — | 2 | 4 | no | — |
| 274 | C2×D5 | — | 2 | 2 | no | — |
| 275 | C2×D5 | — | 5 | 8 | no | — |
| 276 | C2×D5 | — | 5 | 4 | no | — |
| 277 | C2×D5 | — | 10 | 4 | no | — |
| 278 | C2×D5 | — | 10 | 8 | no | — |
| 279 | C2×D5 | — | 20 | 8 | no | — |
| 280 | C4×C5 | — | 2 | 2 | no | — |
| 281 | C4×C5 | — | 2 | 2 | no | — |
| 282 | C4×C5 | — | 4 | 4 | no | — |
| 283 | C4×C5 | — | 8 | 4 | no | — |
| 284 | C4×C5 | — | 10 | 2 | no | — |
| 285 | C4×C5 | — | 20 | 4 | no | — |
| 286 | C4×C5 | C2×D4×D5 | 1 | 2 | yes | — |
| 287 | C4×C5 | D5×#41 | 1 | 2 | yes | — |
| 288 | Dic5 | — | 2 | 2 | no | — |
| 289 | Dic5 | — | 4 | 4 | no | — |
| 290 | Dic5 | — | 5 | 4 | no | — |
| 291 | Dic5 | — | 10 | 4 | no | — |
| 292 | Dic5 | — | 20 | 4 | no | — |
| 293 | Dic5 | — | 40 | 4 | no | — |
| 294 | C24 | — | 25 | 1 | no | — |
| 295 | C2×Q8 | — | 5 | 4 | no | — |
| 296 | C2×Q8 | — | 50 | 2 | no | — |
| 297 | C2×Q8 | — | 50 | 4 | no | — |
| 298 | C2×Q8 | — | 50 | 4 | no | — |
| 299 | C22×C4 | — | 5 | 2 | no | — |
| 300 | C22×C4 | — | 25 | 1 | no | — |
| 301 | C22×C4 | — | 25 | 2 | no | — |
| 302 | C22×C4 | — | 25 | 1 | no | — |
| 303 | C22×C4 | — | 50 | 2 | no | — |
| 304 | C22×C4 | — | 50 | 2 | no | — |
| 305 | C22×C4 | — | 50 | 2 | no | — |
| 306 | C22×C4 | — | 50 | 2 | no | — |
| 307 | Q16 | — | 10 | 4 | no | — |
| 308 | Q16 | — | 50 | 4 | no | — |
| 309 | M16 | — | 10 | 4 | no | — |
| 310 | M16 | — | 50 | 4 | no | — |
| 311 | C2×C8 | — | 5 | 2 | no | — |
| 312 | C2×C8 | — | 25 | 1 | no | — |
| 313 | C2×C8 | — | 25 | 4 | no | — |
| 314 | C2×C8 | — | 50 | 2 | no | — |
| 315 | C2×C8 | C2×D52 | 1 | 1 | yes | characteristic |
| 316 | C4⋊C4 | — | 10 | 4 | no | — |
| 317 | C4⋊C4 | — | 25 | 2 | no | — |
| 318 | C4⋊C4 | — | 50 | 2 | no | — |
| 319 | C4⋊C4 | — | 50 | 4 | no | — |
| 320 | C4⋊C4 | C2×D52 | 1 | 2 | yes | — |
| 321 | C22⋊C4 | — | 10 | 4 | no | — |
| 322 | C22⋊C4 | — | 50 | 4 | no | — |
| 323 | C2×C5 | — | 2 | 2 | no | — |
| 324 | C2×C5 | — | 2 | 4 | no | — |
| 325 | C2×C5 | — | 20 | 2 | no | — |
| 326 | C2×C5 | D5×#121 | 1 | 2 | yes | — |
| 327 | C2×C5 | D5×#137 | 1 | 4 | yes | — |
| 328 | D5 | — | 4 | 2 | no | — |
| 329 | D5 | — | 5 | 8 | no | — |
| 330 | D5 | — | 10 | 8 | no | — |
| 331 | C23 | — | 5 | 2 | no | — |
| 332 | C23 | — | 25 | 1 | no | — |
| 333 | C23 | — | 50 | 2 | no | — |
| 334 | C23 | — | 50 | 4 | no | — |
| 335 | Q8 | — | 10 | 4 | no | — |
| 336 | Q8 | — | 10 | 4 | no | — |
| 337 | Q8 | — | 100 | 4 | no | — |
| 338 | C2×C4 | — | 2 | 2 | no | — |
| 339 | C2×C4 | — | 5 | 2 | no | — |
| 340 | C2×C4 | — | 10 | 2 | no | — |
| 341 | C2×C4 | — | 10 | 2 | no | — |
| 342 | C2×C4 | — | 10 | 4 | no | — |
| 343 | C2×C4 | — | 25 | 1 | no | — |
| 344 | C2×C4 | — | 25 | 2 | no | — |
| 345 | C2×C4 | — | 25 | 2 | no | — |
| 346 | C2×C4 | — | 50 | 2 | no | — |
| 347 | C2×C4 | — | 50 | 4 | no | — |
| 348 | C2×C4 | — | 50 | 2 | no | — |
| 349 | C2×C4 | — | 100 | 4 | no | — |
| 350 | C2×C4 | — | 100 | 4 | no | — |
| 351 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 352 | C8 | — | 10 | 2 | no | — |
| 353 | C8 | — | 25 | 2 | no | — |
| 354 | C8 | #87877 | 1 | 2 | yes | — |
| 355 | C5 | — | 2 | 2 | no | — |
| 356 | C5 | D5×#470 | 1 | 2 | yes | complemented |
| 357 | C22 | — | 10 | 2 | no | — |
| 358 | C22 | — | 10 | 4 | no | — |
| 359 | C22 | — | 25 | 2 | no | — |
| 360 | C22 | — | 25 | 4 | no | — |
| 361 | C22 | — | 100 | 4 | no | — |
| 362 | C22 | D4×D52 | 1 | 1 | yes | characteristic |
| 363 | C4 | — | 4 | 2 | no | — |
| 364 | C4 | — | 10 | 2 | no | — |
| 365 | C4 | — | 20 | 4 | no | — |
| 366 | C4 | — | 25 | 2 | no | — |
| 367 | C4 | — | 100 | 2 | no | — |
| 368 | C4 | C2×#87877 | 1 | 1 | yes | characteristic |
| 369 | C4 | #11717484 | 1 | 1 | yes | characteristic |
| 370 | C2 | — | 20 | 2 | no | — |
| 371 | C2 | — | 25 | 4 | no | — |
| 372 | C2 | #13105715 | 1 | 1 | yes | characteristic |
| 373 | C2 | #13105833 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#11716920 | C2 | semidirect |
| 4. #106×C5⋊D5 | C2 | semidirect |
| 5. C5×#65157 | C2 | semidirect |
| 6. #13100986 | C2 | semidirect |
| 7. #13100782 | C2 | semidirect |
| 8. #13100660 | C2 | semidirect |
| 13. C2×C5×Dic20 | C22 | semidirect |
| 20. C2×#87775 | C22 | semidirect |
| 25. C52×#106 | C22 | semidirect |
| 26. #11716684 | C22 | semidirect |
| 27. #11716675 | C22 | semidirect |
| 28. C5×#3942 | C22 | semidirect |
| 29. #11716607 | C22 | semidirect |
| 67. #65157 | D5 | semidirect |
| 107. C2×Dic20 | C2×D5 | semidirect |
| 121. C5×#106 | C2×D5 | semidirect |
| 127. #3942 | C2×D5 | semidirect |
| 202. C5⋊D5 | #470 | semidirect |
| 265. #106 | D52 | semidirect |
| 268. C52 | C2×#470 | semidirect |
| 356. C5 | D5×#470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11716920 | 2 |
| C2×#11716909 | 2 |
| #13105723 | 2 |
| #106×C5⋊D5 | 2 |
| C5×#65157 | 2 |
| #13100986 | 2 |
| #13100782 | 2 |
| #13100660 | 2 |
| D5×#470 | 5 |