Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
432 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 62 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 | #11755216 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11751347 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#5245 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C3×#65535 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11746017 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11746015 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11746013 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10601782 | — | 3 | 1 | no | maximal, Hall |
| 9 | C3×C5×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 10 | #91840 | — | 2 | 1 | no | — |
| 11 | #91833 | C22 | 1 | 1 | yes | characteristic |
| 12 | C5×#949 | — | 2 | 1 | no | — |
| 13 | C5×#947 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×#4097 | — | 2 | 1 | no | — |
| 15 | C3×#4090 | C22 | 1 | 1 | yes | characteristic |
| 16 | #91432 | — | 2 | 1 | no | — |
| 17 | #91423 | — | 2 | 1 | no | — |
| 18 | #91410 | — | 2 | 1 | no | — |
| 19 | #91379 | — | 2 | 1 | no | — |
| 20 | #91372 | — | 2 | 1 | no | — |
| 21 | #91367 | — | 2 | 1 | no | — |
| 22 | #91121 | — | 2 | 1 | no | — |
| 23 | #91120 | C22 | 1 | 1 | yes | characteristic |
| 24 | C5×#837 | — | 2 | 1 | no | — |
| 25 | C5×#836 | C22 | 1 | 1 | yes | characteristic |
| 26 | C3×#3969 | — | 2 | 1 | no | — |
| 27 | C3×#3968 | C22 | 1 | 1 | yes | characteristic |
| 28 | #70993 | — | 5 | 1 | no | maximal, Hall |
| 29 | #66006 | — | 3 | 1 | no | — |
| 30 | C5×#454 | — | 3 | 1 | no | — |
| 31 | #65535 | — | 3 | 1 | no | — |
| 32 | #65535 | D3 | 1 | 1 | yes | characteristic, complemented |
| 33 | #64762 | — | 3 | 1 | no | — |
| 34 | #64698 | — | 3 | 1 | no | — |
| 35 | #64698 | — | 3 | 1 | no | — |
| 36 | C3×C5×#41 | — | 2 | 1 | no | — |
| 37 | C3×C5×#41 | — | 2 | 1 | no | — |
| 38 | C3×C5×#41 | — | 2 | 1 | no | — |
| 39 | C3×C5×#41 | — | 4 | 1 | no | — |
| 40 | C2×C3×C5×Q8 | — | 4 | 1 | no | — |
| 41 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 42 | C2×Dic30 | D4 | 1 | 1 | yes | characteristic |
| 43 | C2×C5×D12 | D4 | 1 | 1 | yes | characteristic |
| 44 | C2×C3×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×D3×Dic5 | — | 2 | 1 | no | — |
| 46 | #6718 | — | 4 | 1 | no | — |
| 47 | #6716 | — | 4 | 1 | no | — |
| 48 | #6712 | — | 2 | 1 | no | — |
| 49 | #6712 | — | 2 | 1 | no | — |
| 50 | C4×Dic15 | D4 | 1 | 1 | yes | characteristic |
| 51 | #6710 | — | 2 | 1 | no | — |
| 52 | C5×#215 | — | 4 | 1 | no | — |
| 53 | C5×#213 | — | 4 | 1 | no | — |
| 54 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 55 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 56 | C4×C5×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 57 | C5×#208 | — | 2 | 1 | no | — |
| 58 | C3×#689 | — | 4 | 1 | no | — |
| 59 | C3×#687 | — | 4 | 1 | no | — |
| 60 | C3×#683 | — | 2 | 1 | no | — |
| 61 | C3×#683 | — | 2 | 1 | no | — |
| 62 | C3×C4×Dic5 | D4 | 1 | 1 | yes | characteristic |
| 63 | C3×#681 | — | 2 | 1 | no | — |
| 64 | Dic3⋊Dic5 | — | 2 | 1 | no | — |
| 65 | Dic3⋊Dic5 | — | 2 | 1 | no | — |
| 66 | #6669 | — | 2 | 1 | no | — |
| 67 | #6668 | — | 2 | 1 | no | — |
| 68 | (C2×D3)⋊Dic5 | — | 2 | 1 | no | — |
| 69 | (C2×D3)⋊Dic5 | — | 2 | 1 | no | — |
| 70 | (C2×D3)⋊Dic5 | — | 2 | 1 | no | — |
| 71 | #5735 | — | 5 | 1 | no | — |
| 72 | C3×#456 | — | 5 | 1 | no | — |
| 73 | #5246 | — | 5 | 1 | no | — |
| 74 | #5245 | D5 | 1 | 1 | yes | characteristic |
| 75 | #4548 | — | 5 | 1 | no | — |
| 76 | #4478 | — | 5 | 1 | no | — |
| 77 | #4477 | — | 5 | 1 | no | — |
| 78 | C5×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic |
| 79 | C5×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 80 | C5×#124 | — | 3 | 1 | no | — |
| 81 | #4097 | — | 2 | 1 | no | — |
| 82 | #4097 | — | 6 | 1 | no | — |
| 83 | #4090 | — | 3 | 1 | no | — |
| 84 | #4090 | C2×D3 | 1 | 1 | yes | characteristic |
| 85 | #4081 | — | 6 | 1 | no | — |
| 86 | #4025 | — | 6 | 1 | no | — |
| 87 | #4025 | — | 6 | 1 | no | — |
| 88 | #4024 | — | 6 | 1 | no | — |
| 89 | #4024 | — | 6 | 1 | no | — |
| 90 | #4016 | — | 6 | 1 | no | — |
| 91 | C5×#104 | — | 6 | 1 | no | — |
| 92 | C5×#101 | — | 3 | 1 | no | — |
| 93 | #3969 | — | 2 | 1 | no | — |
| 94 | #3969 | — | 6 | 1 | no | — |
| 95 | #3968 | — | 3 | 1 | no | — |
| 96 | #3968 | C2×D3 | 1 | 1 | yes | characteristic |
| 97 | #2203 | — | 15 | 1 | no | Sylow |
| 98 | C22×C5×D3 | — | 2 | 1 | no | — |
| 99 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 100 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 101 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 102 | C3×C5×Q8 | — | 4 | 1 | no | — |
| 103 | C3×C5×D4 | — | 2 | 1 | no | — |
| 104 | C3×C5×D4 | — | 2 | 1 | no | — |
| 105 | C3×C5×D4 | — | 2 | 1 | no | — |
| 106 | C3×C5×D4 | — | 4 | 1 | no | — |
| 107 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 108 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 109 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 110 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×Dic15 | — | 2 | 1 | no | — |
| 114 | C2×Dic15 | — | 2 | 1 | no | — |
| 115 | Dic30 | — | 4 | 1 | no | — |
| 116 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 117 | C5×D12 | — | 4 | 1 | no | — |
| 118 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 119 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 120 | C3×Dic10 | — | 4 | 1 | no | — |
| 121 | D3×Dic5 | — | 8 | 1 | no | — |
| 122 | C3⋊#168 | — | 4 | 1 | no | — |
| 123 | C3×#168 | — | 4 | 1 | no | — |
| 124 | C5×C3⋊C8 | — | 4 | 1 | no | — |
| 125 | C3×2−1+4 | C2×D5 | 1 | 1 | yes | characteristic |
| 126 | C3×#137 | — | 10 | 1 | no | — |
| 127 | C3×C4⋊Q8 | — | 5 | 1 | no | — |
| 128 | #951 | — | 10 | 1 | no | — |
| 129 | #949 | — | 2 | 1 | no | — |
| 130 | #947 | C2×D5 | 1 | 1 | yes | characteristic |
| 131 | #946 | — | 10 | 1 | no | — |
| 132 | #944 | — | 5 | 1 | no | — |
| 133 | #898 | — | 10 | 1 | no | — |
| 134 | #896 | — | 10 | 1 | no | — |
| 135 | #894 | — | 10 | 1 | no | — |
| 136 | #889 | — | 10 | 1 | no | — |
| 137 | #876 | — | 10 | 1 | no | — |
| 138 | C3×#104 | — | 10 | 1 | no | — |
| 139 | C3×#101 | — | 5 | 1 | no | — |
| 140 | #837 | — | 2 | 1 | no | — |
| 141 | #837 | — | 10 | 1 | no | — |
| 142 | #836 | — | 5 | 1 | no | — |
| 143 | #836 | C2×D5 | 1 | 1 | yes | characteristic |
| 144 | C5×#41 | — | 2 | 1 | no | — |
| 145 | C5×#41 | — | 2 | 1 | no | — |
| 146 | C5×#41 | — | 2 | 1 | no | — |
| 147 | C5×#41 | — | 4 | 1 | no | — |
| 148 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 149 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 150 | C2×C5×D4 | — | 3 | 1 | no | — |
| 151 | C22×Dic5 | — | 6 | 1 | no | — |
| 152 | C2×Dic10 | — | 3 | 1 | no | — |
| 153 | C2×Dic10 | #67 | 1 | 1 | yes | characteristic |
| 154 | C5×SD16 | — | 12 | 1 | no | — |
| 155 | C5×D8 | — | 12 | 1 | no | — |
| 156 | C5×M16 | — | 6 | 1 | no | — |
| 157 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 158 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 159 | C42×C5 | — | 3 | 1 | no | — |
| 160 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 161 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 162 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 163 | #689 | — | 4 | 1 | no | — |
| 164 | #689 | — | 12 | 1 | no | — |
| 165 | #687 | — | 4 | 1 | no | — |
| 166 | #687 | — | 12 | 1 | no | — |
| 167 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 168 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 169 | #683 | — | 2 | 1 | no | — |
| 170 | #683 | — | 2 | 1 | no | — |
| 171 | #683 | — | 6 | 1 | no | — |
| 172 | #683 | — | 6 | 1 | no | — |
| 173 | #683 | — | 6 | 1 | no | — |
| 174 | #683 | — | 6 | 1 | no | — |
| 175 | C4×Dic5 | — | 3 | 1 | no | — |
| 176 | C4×Dic5 | #67 | 1 | 1 | yes | characteristic |
| 177 | #681 | — | 2 | 1 | no | — |
| 178 | #681 | — | 6 | 1 | no | — |
| 179 | #563 | — | 15 | 1 | no | — |
| 180 | #456 | — | 5 | 1 | no | — |
| 181 | #456 | — | 15 | 1 | no | — |
| 182 | #454 | — | 3 | 1 | no | — |
| 183 | #356 | — | 15 | 1 | no | — |
| 184 | #356 | — | 15 | 1 | no | — |
| 185 | #355 | — | 15 | 1 | no | — |
| 186 | C22×C3×C5 | — | 4 | 1 | no | — |
| 187 | C22×C3×C5 | #120 | 1 | 1 | yes | characteristic |
| 188 | C2×C5×D3 | — | 4 | 2 | no | — |
| 189 | C2×C5×D3 | — | 4 | 1 | no | — |
| 190 | C3×C4×C5 | — | 2 | 1 | no | — |
| 191 | C3×C4×C5 | — | 2 | 1 | no | — |
| 192 | C3×C4×C5 | — | 2 | 1 | no | — |
| 193 | C3×C4×C5 | — | 4 | 1 | no | — |
| 194 | Dic15 | — | 4 | 1 | no | — |
| 195 | Dic15 | — | 4 | 1 | no | — |
| 196 | C3×Dic5 | — | 4 | 1 | no | — |
| 197 | C3×Dic5 | — | 4 | 1 | no | — |
| 198 | C5×Dic3 | — | 4 | 1 | no | — |
| 199 | C3×#41 | — | 2 | 1 | no | — |
| 200 | C3×#41 | — | 2 | 1 | no | — |
| 201 | C3×#41 | — | 2 | 1 | no | — |
| 202 | C3×#41 | — | 4 | 1 | no | — |
| 203 | C2×C3×Q8 | — | 4 | 1 | no | — |
| 204 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 205 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 206 | C2×D12 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 207 | C2×C4×D3 | — | 10 | 1 | no | — |
| 208 | C2×Dic6 | — | 5 | 1 | no | — |
| 209 | C3×Q16 | — | 20 | 1 | no | — |
| 210 | C3×SD16 | — | 20 | 1 | no | — |
| 211 | C3×M16 | — | 10 | 1 | no | — |
| 212 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 213 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 214 | C3×C42 | — | 5 | 1 | no | — |
| 215 | #216 | — | 20 | 1 | no | — |
| 216 | #215 | — | 4 | 1 | no | — |
| 217 | #214 | — | 20 | 1 | no | — |
| 218 | #213 | — | 4 | 1 | no | — |
| 219 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 220 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 221 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 222 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 223 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 224 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 225 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 226 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 227 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 228 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 229 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 230 | C4×Dic3 | — | 5 | 1 | no | — |
| 231 | C4×Dic3 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 232 | #208 | — | 2 | 1 | no | — |
| 233 | #208 | — | 10 | 1 | no | — |
| 234 | C23×C5 | — | 6 | 1 | no | — |
| 235 | C5×Q8 | — | 2 | 1 | no | — |
| 236 | C5×Q8 | — | 2 | 1 | no | — |
| 237 | C5×Q8 | — | 2 | 1 | no | — |
| 238 | C5×Q8 | — | 4 | 1 | no | — |
| 239 | C5×D4 | — | 2 | 1 | no | — |
| 240 | C5×D4 | — | 2 | 1 | no | — |
| 241 | C5×D4 | — | 2 | 1 | no | — |
| 242 | C5×D4 | — | 4 | 1 | no | — |
| 243 | C5×D4 | — | 12 | 1 | no | — |
| 244 | C2×C4×C5 | — | 4 | 1 | no | — |
| 245 | C2×C4×C5 | — | 4 | 1 | no | — |
| 246 | C2×C4×C5 | — | 4 | 1 | no | — |
| 247 | C2×C4×C5 | — | 6 | 1 | no | — |
| 248 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 250 | C2×C4×C5 | C2×#67 | 1 | 1 | yes | characteristic |
| 251 | C2×Dic5 | — | 2 | 1 | no | — |
| 252 | C2×Dic5 | — | 2 | 1 | no | — |
| 253 | C2×Dic5 | — | 6 | 1 | no | — |
| 254 | C2×Dic5 | — | 6 | 1 | no | — |
| 255 | C2×Dic5 | — | 24 | 1 | no | — |
| 256 | Dic10 | — | 4 | 1 | no | — |
| 257 | Dic10 | — | 12 | 1 | no | — |
| 258 | C5×C8 | — | 12 | 1 | no | — |
| 259 | #168 | — | 4 | 1 | no | — |
| 260 | #168 | — | 12 | 1 | no | — |
| 261 | 2−1+4 | D3×D5 | 1 | 1 | yes | characteristic |
| 262 | #137 | — | 10 | 1 | no | — |
| 263 | #137 | — | 30 | 1 | no | — |
| 264 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 265 | C4⋊Q8 | — | 5 | 1 | no | — |
| 266 | C4⋊Q8 | — | 15 | 1 | no | — |
| 267 | #126 | — | 30 | 1 | no | — |
| 268 | #126 | — | 30 | 1 | no | — |
| 269 | #125 | — | 30 | 1 | no | — |
| 270 | #124 | — | 3 | 1 | no | — |
| 271 | #123 | — | 30 | 1 | no | — |
| 272 | C22⋊Q8 | — | 30 | 1 | no | — |
| 273 | C22⋊Q8 | — | 30 | 1 | no | — |
| 274 | #104 | — | 6 | 1 | no | — |
| 275 | #104 | — | 10 | 1 | no | — |
| 276 | #104 | — | 30 | 1 | no | — |
| 277 | #101 | — | 3 | 1 | no | — |
| 278 | #101 | — | 5 | 1 | no | — |
| 279 | #101 | — | 15 | 1 | no | — |
| 280 | C2×C3×C5 | — | 2 | 1 | no | — |
| 281 | C2×C3×C5 | — | 8 | 1 | no | — |
| 282 | C2×C3×C5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 283 | C5×D3 | — | 8 | 1 | no | — |
| 284 | C22×D3 | — | 2 | 1 | no | — |
| 285 | C3×Q8 | — | 2 | 1 | no | — |
| 286 | C3×Q8 | — | 2 | 1 | no | — |
| 287 | C3×Q8 | — | 2 | 1 | no | — |
| 288 | C3×Q8 | — | 4 | 1 | no | — |
| 289 | C3×Q8 | — | 20 | 1 | no | — |
| 290 | C3×D4 | — | 2 | 1 | no | — |
| 291 | C3×D4 | — | 2 | 1 | no | — |
| 292 | C3×D4 | — | 2 | 1 | no | — |
| 293 | C3×D4 | — | 4 | 1 | no | — |
| 294 | C2×C3×C4 | — | 4 | 1 | no | — |
| 295 | C2×C3×C4 | — | 4 | 1 | no | — |
| 296 | C2×C3×C4 | — | 4 | 1 | no | — |
| 297 | C2×C3×C4 | — | 10 | 1 | no | — |
| 298 | C2×C3×C4 | — | 10 | 1 | no | — |
| 299 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 300 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 301 | C2×C3×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 302 | C2×Dic3 | — | 2 | 1 | no | — |
| 303 | C2×Dic3 | — | 10 | 1 | no | — |
| 304 | C2×Dic3 | — | 10 | 1 | no | — |
| 305 | D12 | — | 4 | 1 | no | — |
| 306 | C4×D3 | — | 40 | 1 | no | — |
| 307 | Dic6 | — | 20 | 1 | no | — |
| 308 | C3×C8 | — | 20 | 1 | no | — |
| 309 | C3⋊C8 | — | 4 | 1 | no | — |
| 310 | C3⋊C8 | — | 20 | 1 | no | — |
| 311 | C22×C5 | — | 4 | 1 | no | — |
| 312 | C22×C5 | — | 12 | 2 | no | — |
| 313 | C22×C5 | — | 12 | 1 | no | — |
| 314 | C22×C5 | #937 | 1 | 1 | yes | characteristic |
| 315 | C4×C5 | — | 2 | 1 | no | — |
| 316 | C4×C5 | — | 2 | 1 | no | — |
| 317 | C4×C5 | — | 2 | 1 | no | — |
| 318 | C4×C5 | — | 4 | 1 | no | — |
| 319 | C4×C5 | — | 12 | 1 | no | — |
| 320 | Dic5 | — | 4 | 1 | no | — |
| 321 | Dic5 | — | 4 | 1 | no | — |
| 322 | Dic5 | — | 12 | 1 | no | — |
| 323 | Dic5 | — | 12 | 1 | no | — |
| 324 | #41 | — | 2 | 1 | no | — |
| 325 | #41 | — | 2 | 1 | no | — |
| 326 | #41 | — | 2 | 1 | no | — |
| 327 | #41 | — | 4 | 1 | no | — |
| 328 | C2×Q8 | — | 4 | 1 | no | — |
| 329 | C2×Q8 | — | 5 | 1 | no | — |
| 330 | C2×Q8 | — | 15 | 1 | no | — |
| 331 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 332 | C2×D4 | — | 3 | 1 | no | — |
| 333 | C22×C4 | — | 30 | 1 | no | — |
| 334 | Q16 | — | 20 | 1 | no | — |
| 335 | Q16 | — | 60 | 1 | no | — |
| 336 | SD16 | — | 12 | 1 | no | — |
| 337 | SD16 | — | 20 | 1 | no | — |
| 338 | SD16 | — | 60 | 1 | no | — |
| 339 | D8 | — | 12 | 1 | no | — |
| 340 | M16 | — | 6 | 1 | no | — |
| 341 | M16 | — | 10 | 1 | no | — |
| 342 | M16 | — | 30 | 1 | no | — |
| 343 | C4⋊C4 | — | 10 | 1 | no | — |
| 344 | C4⋊C4 | — | 10 | 1 | no | — |
| 345 | C4⋊C4 | — | 30 | 1 | no | — |
| 346 | C4⋊C4 | — | 30 | 1 | no | — |
| 347 | C4⋊C4 | — | 30 | 1 | no | — |
| 348 | C4⋊C4 | — | 30 | 1 | no | — |
| 349 | C4⋊C4 | — | 30 | 1 | no | — |
| 350 | C4⋊C4 | — | 30 | 1 | no | — |
| 351 | C22⋊C4 | — | 6 | 1 | no | — |
| 352 | C22⋊C4 | — | 6 | 1 | no | — |
| 353 | C22⋊C4 | — | 30 | 1 | no | — |
| 354 | C22⋊C4 | — | 30 | 1 | no | — |
| 355 | C22⋊C4 | — | 30 | 1 | no | — |
| 356 | C42 | — | 3 | 1 | no | — |
| 357 | C42 | — | 5 | 1 | no | — |
| 358 | C42 | — | 15 | 1 | no | — |
| 359 | C3×C5 | #2203 | 1 | 1 | yes | characteristic, complemented, Hall |
| 360 | C22×C3 | — | 4 | 1 | no | — |
| 361 | C22×C3 | #4083 | 1 | 1 | yes | characteristic |
| 362 | C2×D3 | — | 4 | 2 | no | — |
| 363 | C2×D3 | — | 4 | 1 | no | — |
| 364 | C3×C4 | — | 2 | 1 | no | — |
| 365 | C3×C4 | — | 2 | 1 | no | — |
| 366 | C3×C4 | — | 2 | 1 | no | — |
| 367 | C3×C4 | — | 4 | 1 | no | — |
| 368 | C3×C4 | — | 20 | 1 | no | — |
| 369 | C3×C4 | — | 20 | 1 | no | — |
| 370 | Dic3 | — | 4 | 1 | no | — |
| 371 | Dic3 | — | 20 | 1 | no | — |
| 372 | Dic3 | — | 20 | 1 | no | — |
| 373 | C2×C5 | — | 2 | 1 | no | — |
| 374 | C2×C5 | — | 8 | 1 | no | — |
| 375 | C2×C5 | — | 24 | 1 | no | — |
| 376 | C2×C5 | #5032 | 1 | 1 | yes | characteristic |
| 377 | C23 | — | 6 | 1 | no | — |
| 378 | Q8 | — | 2 | 1 | no | — |
| 379 | Q8 | — | 2 | 1 | no | — |
| 380 | Q8 | — | 2 | 1 | no | — |
| 381 | Q8 | — | 4 | 1 | no | — |
| 382 | Q8 | — | 20 | 1 | no | — |
| 383 | Q8 | — | 60 | 1 | no | — |
| 384 | D4 | — | 2 | 1 | no | — |
| 385 | D4 | — | 2 | 1 | no | — |
| 386 | D4 | — | 2 | 1 | no | — |
| 387 | D4 | — | 4 | 1 | no | — |
| 388 | D4 | — | 12 | 1 | no | — |
| 389 | C2×C4 | — | 4 | 1 | no | — |
| 390 | C2×C4 | — | 4 | 1 | no | — |
| 391 | C2×C4 | — | 4 | 1 | no | — |
| 392 | C2×C4 | — | 6 | 1 | no | — |
| 393 | C2×C4 | — | 10 | 1 | no | — |
| 394 | C2×C4 | — | 10 | 1 | no | — |
| 395 | C2×C4 | — | 30 | 1 | no | — |
| 396 | C2×C4 | — | 30 | 1 | no | — |
| 397 | C2×C4 | — | 120 | 1 | no | — |
| 398 | C2×C4 | D5×#67 | 1 | 1 | yes | characteristic |
| 399 | C2×C4 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 400 | C2×C4 | #6790 | 1 | 1 | yes | characteristic |
| 401 | C8 | — | 12 | 1 | no | — |
| 402 | C8 | — | 20 | 1 | no | — |
| 403 | C8 | — | 60 | 1 | no | — |
| 404 | C2×C3 | — | 2 | 1 | no | — |
| 405 | C2×C3 | — | 8 | 1 | no | — |
| 406 | C2×C3 | #65321 | 1 | 1 | yes | characteristic |
| 407 | D3 | — | 8 | 1 | no | — |
| 408 | C5 | #70993 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 409 | C22 | — | 4 | 1 | no | — |
| 410 | C22 | — | 12 | 2 | no | — |
| 411 | C22 | — | 12 | 1 | no | — |
| 412 | C22 | #91577 | 1 | 1 | yes | characteristic |
| 413 | C4 | — | 2 | 1 | no | — |
| 414 | C4 | — | 2 | 1 | no | — |
| 415 | C4 | — | 2 | 1 | no | — |
| 416 | C4 | — | 4 | 1 | no | — |
| 417 | C4 | — | 12 | 1 | no | — |
| 418 | C4 | — | 20 | 1 | no | — |
| 419 | C4 | — | 20 | 1 | no | — |
| 420 | C4 | — | 60 | 1 | no | — |
| 421 | C4 | — | 60 | 1 | no | — |
| 422 | C3 | #10601782 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 423 | C2 | — | 2 | 1 | no | — |
| 424 | C2 | — | 8 | 1 | no | — |
| 425 | C2 | — | 24 | 1 | no | — |
| 426 | C2 | #11749525 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11755216 | C2 | semidirect |
| 2. #11751347 | C2 | semidirect |
| 4. C3×#65535 | C2 | semidirect |
| 5. #11746017 | C2 | semidirect |
| 6. #11746015 | C2 | semidirect |
| 7. #11746013 | C2 | semidirect |
| 32. #65535 | D3 | semidirect |
| 359. C3×C5 | #2203 | semidirect |
| 408. C5 | #70993 | semidirect |
| 422. C3 | #10601782 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11755216 | 2 |
| #11751347 | 2 |
| C5×#5245 | 2 |
| C3×#65535 | 2 |
| #11746017 | 2 |
| #11746015 | 2 |
| #11746013 | 2 |
| #10601782 | 3 |
| #70993 | 5 |