Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
682 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 87 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 | #13107564 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13104827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13103963 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13103935 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #13100574 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #13100240 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13099913 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11717471 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×C4⋊#1044 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C4⋊#1044 | C22 | 1 | 1 | yes | characteristic |
| 11 | #11717438 | C22 | 1 | 1 | yes | characteristic |
| 12 | #11717435 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11717377 | — | 2 | 2 | no | — |
| 14 | D5⋊(C4⋊AGL(1,𝔽5)) | — | 2 | 1 | no | — |
| 15 | #11717363 | — | 2 | 1 | no | — |
| 16 | #11717354 | — | 2 | 1 | no | — |
| 17 | #11717353 | — | 2 | 1 | no | — |
| 18 | C42×C5⋊D5 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11716936 | C22 | 1 | 1 | yes | characteristic |
| 20 | #11716899 | — | 2 | 2 | no | — |
| 21 | #11716772 | — | 2 | 1 | no | — |
| 22 | #11716771 | — | 2 | 1 | no | — |
| 23 | #11716768 | — | 2 | 1 | no | — |
| 24 | #11716766 | — | 2 | 1 | no | — |
| 25 | C5×#3937 | C4 | 1 | 2 | yes | complemented |
| 26 | #11716609 | C4 | 1 | 2 | yes | complemented |
| 27 | #10604004 | — | 5 | 2 | no | maximal |
| 28 | C22×#1044 | — | 2 | 1 | no | — |
| 29 | C22×#1044 | D4 | 1 | 2 | yes | — |
| 30 | C2×D5⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 31 | C2×C4×C5⋊D5 | — | 2 | 1 | no | — |
| 32 | C2×C4×C5⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 33 | C5×#709 | C2×C4 | 1 | 2 | yes | — |
| 34 | #87886 | — | 2 | 1 | no | — |
| 35 | #87880 | — | 2 | 1 | no | — |
| 36 | #87877 | D4 | 1 | 1 | yes | characteristic |
| 37 | C4×D52 | — | 2 | 1 | no | — |
| 38 | #87873 | — | 2 | 1 | no | — |
| 39 | #87872 | D4 | 1 | 1 | yes | characteristic |
| 40 | #87871 | Q8 | 1 | 2 | yes | — |
| 41 | C4⋊#1044 | — | 2 | 1 | no | — |
| 42 | C4⋊#1044 | — | 2 | 1 | no | — |
| 43 | C4⋊#1044 | — | 2 | 1 | no | — |
| 44 | C4⋊#1044 | — | 2 | 1 | no | — |
| 45 | C22⋊#1043 | — | 2 | 1 | no | — |
| 46 | #87860 | — | 2 | 1 | no | — |
| 47 | C4⋊#1043 | D4 | 1 | 1 | yes | characteristic |
| 48 | C4⋊#1043 | D4 | 1 | 1 | yes | characteristic |
| 49 | C4×#1043 | — | 2 | 1 | no | — |
| 50 | #87856 | — | 2 | 1 | no | — |
| 51 | #87855 | — | 2 | 1 | no | — |
| 52 | #87832 | — | 2 | 2 | no | — |
| 53 | #87831 | — | 2 | 2 | no | — |
| 54 | #87830 | — | 2 | 2 | no | — |
| 55 | C42×C52 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 56 | C4×#1039 | — | 2 | 1 | no | — |
| 57 | C4×#1039 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 58 | C5×#681 | C2×C4 | 1 | 2 | yes | complemented |
| 59 | #87769 | — | 2 | 1 | no | — |
| 60 | #87767 | — | 2 | 1 | no | — |
| 61 | #66266 | — | 5 | 2 | no | — |
| 62 | #65793 | — | 5 | 2 | no | — |
| 63 | #65727 | — | 5 | 2 | no | — |
| 64 | #65689 | — | 5 | 2 | no | — |
| 65 | D5×#104 | — | 5 | 2 | no | — |
| 66 | #64899 | — | 5 | 2 | no | — |
| 67 | #64862 | — | 5 | 2 | no | — |
| 68 | #64862 | — | 10 | 2 | no | — |
| 69 | C22×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 70 | C2×D52 | — | 2 | 1 | no | — |
| 71 | C2×#1044 | — | 2 | 2 | no | — |
| 72 | C2×#1044 | — | 4 | 2 | no | — |
| 73 | C2×#1044 | — | 4 | 2 | no | — |
| 74 | C2×#1044 | — | 4 | 1 | no | — |
| 75 | C2×#1043 | — | 2 | 1 | no | — |
| 76 | C2×#1043 | — | 2 | 1 | no | — |
| 77 | D5⋊AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 78 | C2×C4×C52 | — | 2 | 1 | no | — |
| 79 | C2×C4×C52 | C22×C4 | 1 | 1 | yes | characteristic |
| 80 | C2×#1039 | — | 2 | 1 | no | — |
| 81 | C2×#1039 | #41 | 1 | 1 | yes | characteristic |
| 82 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 83 | C4×C5⋊D5 | — | 4 | 1 | no | — |
| 84 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 85 | C4×C5⋊D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 86 | C4×C5⋊D5 | C2×Q8 | 1 | 1 | yes | characteristic |
| 87 | C4×C5⋊D5 | #41 | 1 | 1 | yes | characteristic |
| 88 | C5×C22⋊D5 | — | 2 | 2 | no | — |
| 89 | C5×D20 | C4⋊C4 | 1 | 2 | yes | — |
| 90 | C4×C5×D5 | — | 2 | 2 | no | — |
| 91 | C5×Dic10 | C4⋊C4 | 1 | 2 | yes | — |
| 92 | #6039 | — | 2 | 1 | no | — |
| 93 | #6038 | — | 2 | 2 | no | — |
| 94 | #6037 | — | 2 | 1 | no | — |
| 95 | #6036 | — | 2 | 1 | no | — |
| 96 | D5×Dic5 | — | 2 | 2 | no | — |
| 97 | #6033 | — | 4 | 1 | no | — |
| 98 | C5×#168 | — | 2 | 2 | no | — |
| 99 | D5×#41 | — | 5 | 2 | no | — |
| 100 | Q8×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 101 | D4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 102 | D4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 103 | #4130 | — | 5 | 2 | no | — |
| 104 | #4130 | — | 10 | 2 | no | — |
| 105 | #4130 | — | 10 | 2 | no | — |
| 106 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 107 | C2×C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 108 | C2×C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 109 | D5⋊M16 | — | 5 | 2 | no | — |
| 110 | D5⋊M16 | — | 10 | 2 | no | — |
| 111 | D5×M16 | — | 5 | 2 | no | — |
| 112 | C42×D5 | — | 5 | 2 | no | — |
| 113 | C42×D5 | — | 10 | 2 | no | — |
| 114 | #4009 | — | 10 | 2 | no | — |
| 115 | #4007 | — | 10 | 2 | no | — |
| 116 | (C2×AGL(1,𝔽5))⋊C4 | — | 10 | 4 | no | — |
| 117 | #3994 | — | 10 | 2 | no | — |
| 118 | #3993 | — | 10 | 2 | no | — |
| 119 | C5×#104 | — | 5 | 2 | no | — |
| 120 | #3969 | — | 5 | 2 | no | — |
| 121 | #3957 | — | 5 | 2 | no | — |
| 122 | #3937 | AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 123 | #1860 | — | 25 | 1 | no | Sylow |
| 124 | C22×C52 | C4×D4 | 1 | 1 | yes | characteristic |
| 125 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 126 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 127 | C2×C5⋊D5 | #120 | 1 | 1 | yes | characteristic |
| 128 | C2×C5⋊D5 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 129 | C2×C5×D5 | — | 2 | 2 | no | — |
| 130 | D52 | — | 4 | 1 | no | — |
| 131 | D52 | — | 4 | 1 | no | — |
| 132 | #1044 | — | 4 | 2 | no | — |
| 133 | #1044 | — | 8 | 1 | no | — |
| 134 | #1043 | — | 4 | 1 | no | — |
| 135 | #1043 | — | 4 | 1 | no | — |
| 136 | C4×C52 | — | 4 | 1 | no | — |
| 137 | C4×C52 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 138 | C4×C52 | C4×D4 | 1 | 1 | yes | characteristic |
| 139 | #1039 | — | 4 | 1 | no | — |
| 140 | #1039 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 141 | #1039 | #123 | 1 | 1 | yes | characteristic |
| 142 | C5×Dic5 | — | 2 | 2 | no | — |
| 143 | C22×AGL(1,𝔽5) | — | 5 | 4 | no | — |
| 144 | C22×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 145 | C22×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 146 | C5×#41 | — | 5 | 2 | no | — |
| 147 | #713 | — | 5 | 2 | no | — |
| 148 | Q8×D5 | — | 5 | 2 | no | — |
| 149 | #711 | — | 5 | 2 | no | — |
| 150 | #711 | — | 10 | 2 | no | — |
| 151 | D4×D5 | — | 5 | 2 | no | — |
| 152 | D4×D5 | — | 10 | 2 | no | — |
| 153 | #709 | — | 10 | 2 | no | — |
| 154 | #709 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 155 | C2×C4×D5 | — | 5 | 2 | no | — |
| 156 | C2×C4×D5 | — | 10 | 2 | no | — |
| 157 | C2×C4×D5 | — | 10 | 2 | no | — |
| 158 | C2×C4×D5 | — | 10 | 2 | no | — |
| 159 | C2×C4×D5 | — | 20 | 2 | no | — |
| 160 | C22⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 161 | C22⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 162 | C22⋊AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 163 | #704 | — | 10 | 2 | no | — |
| 164 | #704 | — | 20 | 2 | no | — |
| 165 | C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 166 | C4⋊AGL(1,𝔽5) | — | 5 | 2 | no | — |
| 167 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 168 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 169 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 170 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 171 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 172 | C4⋊AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 173 | C4⋊AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 174 | C4×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 175 | C4×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 176 | C4×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 177 | #700 | — | 10 | 2 | no | — |
| 178 | #700 | — | 10 | 4 | no | — |
| 179 | D5⋊C8 | — | 10 | 2 | no | — |
| 180 | D5⋊C8 | — | 20 | 2 | no | — |
| 181 | C5×M16 | — | 5 | 2 | no | — |
| 182 | C42×C5 | — | 2 | 2 | no | — |
| 183 | C42×C5 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 184 | C4×Dic5 | — | 5 | 2 | no | — |
| 185 | C4×Dic5 | — | 10 | 2 | no | — |
| 186 | C4×Dic5 | — | 10 | 2 | no | — |
| 187 | C4×Dic5 | — | 20 | 2 | no | — |
| 188 | #681 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 189 | #676 | — | 10 | 2 | no | — |
| 190 | C8×D5 | — | 10 | 2 | no | — |
| 191 | #520 | — | 25 | 1 | no | — |
| 192 | #428 | — | 25 | 1 | no | — |
| 193 | C2×#104 | — | 25 | 1 | no | — |
| 194 | #417 | — | 25 | 1 | no | — |
| 195 | #382 | — | 25 | 1 | no | — |
| 196 | #343 | — | 25 | 1 | no | — |
| 197 | #339 | — | 25 | 1 | no | — |
| 198 | C2×C52 | — | 2 | 1 | no | — |
| 199 | C2×C52 | #385 | 1 | 1 | yes | characteristic |
| 200 | C5⋊D5 | — | 2 | 1 | no | — |
| 201 | C5⋊D5 | #454 | 1 | 1 | yes | characteristic |
| 202 | C5⋊D5 | #455 | 1 | 1 | yes | characteristic |
| 203 | C5×D5 | — | 4 | 2 | no | — |
| 204 | C22×D5 | — | 5 | 2 | no | — |
| 205 | C22×D5 | — | 10 | 2 | no | — |
| 206 | C22×D5 | — | 10 | 2 | no | — |
| 207 | C2×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 208 | C2×AGL(1,𝔽5) | — | 10 | 2 | no | — |
| 209 | C2×AGL(1,𝔽5) | — | 10 | 4 | no | — |
| 210 | C2×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 211 | C2×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 212 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 213 | C2×AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 214 | C2×AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 215 | C2×AGL(1,𝔽5) | — | 40 | 4 | no | — |
| 216 | C5×Q8 | — | 5 | 2 | no | — |
| 217 | C5×D4 | — | 5 | 2 | no | — |
| 218 | C5×D4 | — | 10 | 2 | no | — |
| 219 | C2×C4×C5 | — | 2 | 2 | no | — |
| 220 | C2×C4×C5 | — | 2 | 2 | no | — |
| 221 | C2×C4×C5 | — | 4 | 2 | no | — |
| 222 | C2×C4×C5 | — | 10 | 2 | no | — |
| 223 | C2×C4×C5 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 224 | C22⋊D5 | — | 2 | 2 | no | — |
| 225 | C22⋊D5 | — | 10 | 2 | no | — |
| 226 | C22⋊D5 | — | 10 | 2 | no | — |
| 227 | C2×Dic5 | — | 5 | 2 | no | — |
| 228 | C2×Dic5 | — | 10 | 2 | no | — |
| 229 | C2×Dic5 | — | 10 | 2 | no | — |
| 230 | C2×Dic5 | — | 10 | 2 | no | — |
| 231 | C2×Dic5 | — | 20 | 2 | no | — |
| 232 | D20 | — | 10 | 2 | no | — |
| 233 | D20 | C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 234 | C4×D5 | — | 2 | 2 | no | — |
| 235 | C4×D5 | — | 5 | 2 | no | — |
| 236 | C4×D5 | — | 5 | 2 | no | — |
| 237 | C4×D5 | — | 5 | 2 | no | — |
| 238 | C4×D5 | — | 5 | 2 | no | — |
| 239 | C4×D5 | — | 10 | 2 | no | — |
| 240 | C4×D5 | — | 10 | 2 | no | — |
| 241 | C4×D5 | — | 10 | 2 | no | — |
| 242 | C4×D5 | — | 10 | 2 | no | — |
| 243 | C4×D5 | — | 10 | 2 | no | — |
| 244 | C4×D5 | — | 10 | 2 | no | — |
| 245 | C4×D5 | — | 20 | 2 | no | — |
| 246 | C4×D5 | — | 20 | 2 | no | — |
| 247 | C4×D5 | — | 20 | 4 | no | — |
| 248 | C4×D5 | — | 20 | 4 | no | — |
| 249 | Dic10 | — | 10 | 2 | no | — |
| 250 | Dic10 | C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 251 | #170 | — | 20 | 2 | no | — |
| 252 | #170 | — | 20 | 4 | no | — |
| 253 | C5×C8 | — | 10 | 2 | no | — |
| 254 | #168 | — | 2 | 2 | no | — |
| 255 | C2×#41 | — | 25 | 1 | no | — |
| 256 | C2×M16 | — | 25 | 1 | no | — |
| 257 | C2×M16 | — | 25 | 1 | no | — |
| 258 | C4×Q8 | — | 50 | 1 | no | — |
| 259 | C4×D4 | — | 50 | 2 | no | — |
| 260 | C4×D4 | — | 50 | 1 | no | — |
| 261 | #117 | — | 25 | 1 | no | — |
| 262 | #117 | — | 50 | 1 | no | — |
| 263 | C2×C4⋊C4 | — | 25 | 1 | no | — |
| 264 | C2×C4⋊C4 | — | 25 | 1 | no | — |
| 265 | C2×C4⋊C4 | — | 50 | 1 | no | — |
| 266 | C2×C42 | — | 25 | 1 | no | — |
| 267 | #107 | — | 50 | 1 | no | — |
| 268 | #106 | — | 50 | 1 | no | — |
| 269 | #104 | — | 5 | 2 | no | — |
| 270 | #104 | — | 25 | 2 | no | — |
| 271 | #103 | — | 50 | 1 | no | — |
| 272 | #102 | — | 50 | 1 | no | — |
| 273 | #95 | — | 50 | 2 | no | — |
| 274 | C52 | #1860 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 275 | C22×C5 | — | 2 | 2 | no | — |
| 276 | C22×C5 | — | 10 | 2 | no | — |
| 277 | C22×C5 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 278 | C2×D5 | — | 2 | 2 | no | — |
| 279 | C2×D5 | — | 5 | 2 | no | — |
| 280 | C2×D5 | — | 5 | 2 | no | — |
| 281 | C2×D5 | — | 10 | 2 | no | — |
| 282 | C2×D5 | — | 10 | 2 | no | — |
| 283 | C2×D5 | — | 10 | 2 | no | — |
| 284 | C2×D5 | — | 10 | 2 | no | — |
| 285 | C2×D5 | — | 20 | 2 | no | — |
| 286 | C2×D5 | — | 20 | 2 | no | — |
| 287 | C2×D5 | — | 20 | 2 | no | — |
| 288 | C2×D5 | — | 20 | 2 | no | — |
| 289 | AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 290 | AGL(1,𝔽5) | — | 20 | 2 | no | — |
| 291 | AGL(1,𝔽5) | — | 20 | 4 | no | — |
| 292 | AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 293 | AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 294 | AGL(1,𝔽5) | — | 40 | 2 | no | — |
| 295 | C4×C5 | — | 2 | 2 | no | — |
| 296 | C4×C5 | — | 2 | 2 | no | — |
| 297 | C4×C5 | — | 4 | 2 | no | — |
| 298 | C4×C5 | — | 4 | 4 | no | — |
| 299 | C4×C5 | — | 10 | 2 | no | — |
| 300 | C4×C5 | C2×C4⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 301 | C4×C5 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 302 | Dic5 | — | 2 | 2 | no | — |
| 303 | Dic5 | — | 5 | 2 | no | — |
| 304 | Dic5 | — | 5 | 2 | no | — |
| 305 | Dic5 | — | 10 | 2 | no | — |
| 306 | Dic5 | — | 10 | 2 | no | — |
| 307 | Dic5 | — | 20 | 2 | no | — |
| 308 | Dic5 | — | 20 | 4 | no | — |
| 309 | #41 | — | 5 | 2 | no | — |
| 310 | #41 | — | 25 | 2 | no | — |
| 311 | #41 | — | 50 | 1 | no | — |
| 312 | #41 | — | 50 | 1 | no | — |
| 313 | C2×Q8 | — | 25 | 1 | no | — |
| 314 | C2×D4 | — | 25 | 1 | no | — |
| 315 | C2×D4 | — | 50 | 1 | no | — |
| 316 | C22×C4 | — | 25 | 1 | no | — |
| 317 | C22×C4 | — | 25 | 2 | no | — |
| 318 | C22×C4 | — | 50 | 1 | no | — |
| 319 | C22×C4 | — | 50 | 1 | no | — |
| 320 | C22×C4 | — | 50 | 2 | no | — |
| 321 | C22×C4 | — | 50 | 1 | no | — |
| 322 | M16 | — | 5 | 2 | no | — |
| 323 | M16 | — | 50 | 1 | no | — |
| 324 | M16 | — | 50 | 1 | no | — |
| 325 | M16 | — | 50 | 1 | no | — |
| 326 | C2×C8 | — | 50 | 1 | no | — |
| 327 | C2×C8 | — | 50 | 1 | no | — |
| 328 | C4⋊C4 | — | 25 | 1 | no | — |
| 329 | C4⋊C4 | — | 25 | 1 | no | — |
| 330 | C4⋊C4 | — | 50 | 1 | no | — |
| 331 | C4⋊C4 | — | 50 | 1 | no | — |
| 332 | C4⋊C4 | — | 50 | 1 | no | — |
| 333 | C4⋊C4 | — | 50 | 1 | no | — |
| 334 | C4⋊C4 | — | 50 | 2 | no | — |
| 335 | C22⋊C4 | — | 50 | 1 | no | — |
| 336 | C22⋊C4 | — | 50 | 2 | no | — |
| 337 | C42 | — | 25 | 1 | no | — |
| 338 | C42 | — | 50 | 1 | no | — |
| 339 | C42 | — | 50 | 1 | no | — |
| 340 | C42 | — | 50 | 2 | no | — |
| 341 | C42 | D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 342 | C2×C5 | — | 2 | 2 | no | — |
| 343 | C2×C5 | — | 2 | 2 | no | — |
| 344 | C2×C5 | — | 4 | 2 | no | — |
| 345 | C2×C5 | — | 20 | 2 | no | — |
| 346 | C2×C5 | #65699 | 1 | 2 | yes | — |
| 347 | D5 | — | 4 | 2 | no | — |
| 348 | D5 | — | 5 | 2 | no | — |
| 349 | D5 | — | 5 | 2 | no | — |
| 350 | D5 | — | 10 | 2 | no | — |
| 351 | D5 | — | 10 | 2 | no | — |
| 352 | D5 | — | 10 | 2 | no | — |
| 353 | D5 | — | 20 | 2 | no | — |
| 354 | C23 | — | 25 | 1 | no | — |
| 355 | C23 | — | 50 | 1 | no | — |
| 356 | Q8 | — | 5 | 2 | no | — |
| 357 | Q8 | — | 50 | 1 | no | — |
| 358 | D4 | — | 5 | 2 | no | — |
| 359 | D4 | — | 10 | 2 | no | — |
| 360 | D4 | — | 50 | 2 | no | — |
| 361 | D4 | — | 50 | 1 | no | — |
| 362 | C2×C4 | — | 2 | 1 | no | — |
| 363 | C2×C4 | — | 10 | 2 | no | — |
| 364 | C2×C4 | — | 25 | 1 | no | — |
| 365 | C2×C4 | — | 25 | 1 | no | — |
| 366 | C2×C4 | — | 25 | 1 | no | — |
| 367 | C2×C4 | — | 25 | 1 | no | — |
| 368 | C2×C4 | — | 25 | 1 | no | — |
| 369 | C2×C4 | — | 50 | 1 | no | — |
| 370 | C2×C4 | — | 50 | 2 | no | — |
| 371 | C2×C4 | — | 50 | 1 | no | — |
| 372 | C2×C4 | — | 50 | 1 | no | — |
| 373 | C2×C4 | — | 50 | 2 | no | — |
| 374 | C2×C4 | — | 50 | 1 | no | — |
| 375 | C2×C4 | — | 100 | 1 | no | — |
| 376 | C2×C4 | — | 100 | 1 | no | — |
| 377 | C2×C4 | — | 100 | 2 | no | — |
| 378 | C2×C4 | — | 100 | 1 | no | — |
| 379 | C2×C4 | — | 100 | 2 | no | — |
| 380 | C2×C4 | — | 200 | 2 | no | — |
| 381 | C2×C4 | C2×D5⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 382 | C8 | — | 10 | 2 | no | — |
| 383 | C8 | — | 100 | 1 | no | — |
| 384 | C5 | — | 2 | 2 | no | — |
| 385 | C5 | #10604004 | 1 | 2 | yes | complemented |
| 386 | C22 | — | 10 | 2 | no | — |
| 387 | C22 | — | 25 | 1 | no | — |
| 388 | C22 | — | 25 | 1 | no | — |
| 389 | C22 | — | 50 | 1 | no | — |
| 390 | C22 | — | 50 | 1 | no | — |
| 391 | C22 | — | 100 | 1 | no | — |
| 392 | C22 | — | 100 | 1 | no | — |
| 393 | C22 | #11717377 | 1 | 1 | yes | characteristic |
| 394 | C4 | — | 4 | 1 | no | — |
| 395 | C4 | — | 10 | 2 | no | — |
| 396 | C4 | — | 25 | 1 | no | — |
| 397 | C4 | — | 25 | 1 | no | — |
| 398 | C4 | — | 100 | 1 | no | — |
| 399 | C4 | — | 100 | 2 | no | — |
| 400 | C4 | — | 100 | 1 | no | — |
| 401 | C4 | — | 100 | 1 | no | — |
| 402 | C4 | — | 200 | 1 | no | — |
| 403 | C4 | #11717363 | 1 | 1 | yes | characteristic |
| 404 | C4 | D5⋊(C4⋊AGL(1,𝔽5)) | 1 | 1 | yes | characteristic |
| 405 | C2 | — | 2 | 1 | no | — |
| 406 | C2 | — | 20 | 2 | no | — |
| 407 | C2 | — | 25 | 1 | no | — |
| 408 | C2 | — | 25 | 1 | no | — |
| 409 | C2 | — | 50 | 1 | no | — |
| 410 | C2 | #13104050 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13104827 | C2 | semidirect |
| 3. #13103963 | C2 | semidirect |
| 6. #13100240 | C2 | semidirect |
| 7. #13099913 | C2 | semidirect |
| 25. C5×#3937 | C4 | semidirect |
| 26. #11716609 | C4 | semidirect |
| 55. C42×C52 | C2×C4 | semidirect |
| 57. C4×#1039 | C2×C4 | semidirect |
| 58. C5×#681 | C2×C4 | semidirect |
| 122. #3937 | AGL(1,𝔽5) | semidirect |
| 183. C42×C5 | C2×AGL(1,𝔽5) | semidirect |
| 188. #681 | C2×AGL(1,𝔽5) | semidirect |
| 274. C52 | #1860 | semidirect |
| 341. C42 | D5⋊AGL(1,𝔽5) | semidirect |
| 385. C5 | #10604004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13107564 | 2 |
| #13104827 | 2 |
| #13103963 | 2 |
| #13103935 | 2 |
| #13100574 | 2 |
| #13100240 | 2 |
| #13099913 | 2 |
| #10604004 | 5 |