Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
908 conjugacy classes of subgroups.
The subgroup lattice has 600 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11754039 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #11753991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11753961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11750996 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#4897 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#65185 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11748259 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11748241 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11748199 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11748074 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11747982 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10612671 | — | 3 | 1 | no | maximal, Hall |
| 13 | #92018 | C22 | 1 | 2 | yes | — |
| 14 | #92004 | C22 | 1 | 2 | yes | complemented |
| 15 | #91796 | C22 | 1 | 2 | yes | complemented |
| 16 | #91793 | C22 | 1 | 1 | yes | characteristic |
| 17 | C5×#908 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×C5×D24 | C22 | 1 | 1 | yes | characteristic |
| 19 | C5×#901 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C3×#4055 | C22 | 1 | 2 | yes | — |
| 21 | C2×C3×Dic20 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×#4047 | C22 | 1 | 1 | yes | characteristic |
| 23 | #91370 | C22 | 1 | 2 | yes | complemented |
| 24 | #91315 | C22 | 1 | 2 | yes | complemented |
| 25 | C2×#6656 | C22 | 1 | 2 | yes | complemented |
| 26 | #91304 | C22 | 1 | 2 | yes | — |
| 27 | #91297 | C22 | 1 | 1 | yes | characteristic |
| 28 | #91280 | — | 2 | 2 | no | — |
| 29 | #91279 | — | 2 | 2 | no | — |
| 30 | #91275 | — | 2 | 1 | no | — |
| 31 | #91270 | — | 2 | 1 | no | — |
| 32 | #91263 | — | 2 | 2 | no | — |
| 33 | D3×Dic20 | — | 2 | 1 | no | — |
| 34 | #91257 | — | 2 | 2 | no | — |
| 35 | #91255 | — | 2 | 2 | no | — |
| 36 | #91250 | — | 2 | 2 | no | — |
| 37 | D5×D24 | — | 2 | 1 | no | — |
| 38 | C3×C5×#108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #91109 | C22 | 1 | 2 | yes | complemented |
| 40 | C8×Dic15 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C5×#823 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×#3956 | C22 | 1 | 2 | yes | complemented |
| 43 | #90992 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #90978 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #90976 | C22 | 1 | 1 | yes | characteristic |
| 46 | #80946 | — | 5 | 1 | no | maximal, Hall |
| 47 | #66109 | — | 3 | 2 | no | — |
| 48 | #66091 | — | 3 | 1 | no | — |
| 49 | #66087 | — | 3 | 1 | no | — |
| 50 | C5×#472 | — | 3 | 1 | no | — |
| 51 | #65490 | — | 3 | 2 | no | — |
| 52 | #65444 | — | 3 | 1 | no | — |
| 53 | #65433 | — | 3 | 1 | no | — |
| 54 | #65185 | D3 | 1 | 1 | yes | characteristic, complemented |
| 55 | #65184 | — | 3 | 1 | no | — |
| 56 | #65037 | — | 3 | 2 | no | — |
| 57 | #65035 | — | 3 | 2 | no | — |
| 58 | #6817 | C23 | 1 | 2 | yes | — |
| 59 | C5×#235 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×C5×D12 | C23 | 1 | 2 | yes | — |
| 61 | C3×#709 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×C3×Dic10 | C23 | 1 | 2 | yes | — |
| 63 | D3×C22⋊D5 | — | 4 | 2 | no | — |
| 64 | #6782 | — | 4 | 2 | no | — |
| 65 | #6777 | — | 2 | 2 | no | — |
| 66 | D5×D12 | — | 2 | 2 | no | — |
| 67 | #6772 | — | 2 | 2 | no | — |
| 68 | D15⋊Q8 | — | 2 | 2 | no | — |
| 69 | #6769 | — | 2 | 2 | no | — |
| 70 | #6768 | — | 2 | 2 | no | — |
| 71 | #6768 | — | 2 | 2 | no | — |
| 72 | D3×Dic10 | — | 2 | 2 | no | — |
| 73 | C3×C5×M16 | C23 | 1 | 2 | yes | — |
| 74 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 75 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 77 | Dic60 | D4 | 1 | 1 | yes | characteristic |
| 78 | D120 | D4 | 1 | 1 | yes | characteristic |
| 79 | #6706 | D4 | 1 | 2 | yes | — |
| 80 | #6705 | — | 2 | 2 | no | — |
| 81 | C8×D15 | — | 2 | 2 | no | — |
| 82 | C5×#208 | C23 | 1 | 1 | yes | characteristic |
| 83 | C5×D24 | — | 2 | 2 | no | — |
| 84 | C5×D24 | — | 2 | 1 | no | — |
| 85 | C5×D24 | — | 2 | 1 | no | — |
| 86 | C5×#204 | — | 2 | 2 | no | — |
| 87 | C5×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 88 | C5×D3×C8 | — | 2 | 1 | no | — |
| 89 | C3×#681 | C23 | 1 | 1 | yes | characteristic |
| 90 | C3×Dic20 | — | 2 | 2 | no | — |
| 91 | C3×Dic20 | — | 2 | 1 | no | — |
| 92 | C3×Dic20 | — | 2 | 1 | no | — |
| 93 | C3×#677 | — | 2 | 2 | no | — |
| 94 | C3×#676 | — | 2 | 1 | no | — |
| 95 | C3×C8×D5 | — | 2 | 1 | no | — |
| 96 | (C2×D3)⋊Dic5 | — | 4 | 2 | no | — |
| 97 | #6662 | — | 2 | 2 | no | — |
| 98 | #6661 | D4 | 1 | 1 | yes | characteristic |
| 99 | #6659 | — | 2 | 2 | no | — |
| 100 | #6658 | — | 2 | 2 | no | — |
| 101 | #6656 | — | 2 | 2 | no | — |
| 102 | #6656 | — | 2 | 2 | no | — |
| 103 | #6656 | D4 | 1 | 1 | yes | characteristic |
| 104 | #6655 | D4 | 1 | 1 | yes | characteristic |
| 105 | #6654 | — | 2 | 2 | no | — |
| 106 | #6652 | D4 | 1 | 1 | yes | characteristic |
| 107 | #5778 | — | 5 | 2 | no | — |
| 108 | #5766 | — | 5 | 1 | no | — |
| 109 | #5752 | — | 5 | 1 | no | — |
| 110 | C3×#473 | — | 5 | 1 | no | — |
| 111 | #5202 | — | 5 | 2 | no | — |
| 112 | #5191 | — | 5 | 1 | no | — |
| 113 | #5144 | — | 5 | 1 | no | — |
| 114 | #4897 | D5 | 1 | 1 | yes | characteristic, complemented |
| 115 | #4895 | — | 5 | 1 | no | — |
| 116 | #4754 | — | 5 | 2 | no | — |
| 117 | #4753 | — | 5 | 2 | no | — |
| 118 | #4150 | — | 3 | 2 | no | — |
| 119 | #4144 | — | 3 | 2 | no | — |
| 120 | C5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 121 | C2×C5×D8 | — | 3 | 1 | no | — |
| 122 | C5×#131 | — | 3 | 1 | no | — |
| 123 | #4096 | — | 3 | 1 | no | — |
| 124 | #4082 | — | 3 | 2 | no | — |
| 125 | C2×#687 | — | 3 | 2 | no | — |
| 126 | #4078 | — | 3 | 2 | no | — |
| 127 | #4061 | — | 6 | 2 | no | — |
| 128 | D5×SD16 | — | 6 | 2 | no | — |
| 129 | #4058 | — | 6 | 1 | no | — |
| 130 | #4058 | — | 6 | 2 | no | — |
| 131 | #4057 | — | 6 | 2 | no | — |
| 132 | #4057 | — | 6 | 2 | no | — |
| 133 | D5×D8 | — | 6 | 1 | no | — |
| 134 | #4055 | — | 3 | 2 | no | — |
| 135 | #4055 | — | 6 | 2 | no | — |
| 136 | #4055 | C2×D3 | 1 | 2 | yes | — |
| 137 | #4053 | — | 3 | 2 | no | — |
| 138 | C2×Dic20 | — | 6 | 1 | no | — |
| 139 | C2×Dic20 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 140 | #4050 | — | 3 | 1 | no | — |
| 141 | #4050 | — | 6 | 1 | no | — |
| 142 | #4047 | C2×D3 | 1 | 1 | yes | characteristic |
| 143 | C5×#108 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 144 | C5×#100 | — | 3 | 2 | no | — |
| 145 | #3969 | — | 3 | 1 | no | — |
| 146 | #3957 | — | 3 | 1 | no | — |
| 147 | #3957 | — | 3 | 2 | no | — |
| 148 | #3956 | C2×D3 | 1 | 2 | yes | complemented |
| 149 | #3954 | — | 3 | 1 | no | — |
| 150 | C8×Dic5 | — | 3 | 1 | no | — |
| 151 | #3290 | — | 15 | 1 | no | Sylow |
| 152 | C22×C5×D3 | — | 2 | 2 | no | — |
| 153 | C2×D3×D5 | — | 4 | 2 | no | — |
| 154 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 155 | #1220 | — | 2 | 2 | no | — |
| 156 | C2×Dic15 | — | 2 | 1 | no | — |
| 157 | D60 | C2×D4 | 1 | 2 | yes | — |
| 158 | C4×D15 | — | 2 | 2 | no | — |
| 159 | Dic30 | C2×D4 | 1 | 2 | yes | — |
| 160 | C5×#67 | — | 2 | 1 | no | — |
| 161 | C5×D12 | — | 2 | 2 | no | — |
| 162 | C5×D12 | — | 2 | 2 | no | — |
| 163 | C5×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | C4×C5×D3 | — | 2 | 1 | no | — |
| 165 | C5×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 167 | C2×C3×Dic5 | — | 2 | 2 | no | — |
| 168 | C3×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C3×C4×D5 | — | 2 | 1 | no | — |
| 170 | C3×Dic10 | — | 2 | 2 | no | — |
| 171 | C3×Dic10 | — | 2 | 2 | no | — |
| 172 | C3×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 173 | #1204 | — | 4 | 2 | no | — |
| 174 | #1203 | — | 4 | 2 | no | — |
| 175 | #1203 | — | 4 | 2 | no | — |
| 176 | #1201 | — | 4 | 2 | no | — |
| 177 | #1200 | — | 4 | 2 | no | — |
| 178 | D3×Dic5 | — | 4 | 2 | no | — |
| 179 | D3×Dic5 | — | 4 | 2 | no | — |
| 180 | C3×C5×C8 | — | 2 | 2 | no | — |
| 181 | C3×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C3×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C3⋊#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C3⋊#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C3×#168 | — | 2 | 1 | no | — |
| 186 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 187 | #1009 | — | 5 | 2 | no | — |
| 188 | #1007 | — | 5 | 2 | no | — |
| 189 | C3×#137 | — | 5 | 2 | no | — |
| 190 | C2×C3×Q16 | — | 5 | 1 | no | — |
| 191 | C3×#131 | — | 5 | 1 | no | — |
| 192 | #950 | — | 5 | 1 | no | — |
| 193 | #947 | — | 5 | 2 | no | — |
| 194 | #942 | — | 5 | 2 | no | — |
| 195 | C2×#215 | — | 5 | 2 | no | — |
| 196 | #919 | — | 10 | 1 | no | — |
| 197 | #919 | — | 10 | 2 | no | — |
| 198 | #918 | — | 10 | 2 | no | — |
| 199 | #918 | — | 10 | 2 | no | — |
| 200 | D3×Q16 | — | 10 | 1 | no | — |
| 201 | #914 | — | 10 | 2 | no | — |
| 202 | D3×SD16 | — | 10 | 2 | no | — |
| 203 | #908 | — | 5 | 2 | no | — |
| 204 | #908 | — | 10 | 2 | no | — |
| 205 | #908 | C2×D5 | 1 | 2 | yes | complemented |
| 206 | #907 | — | 5 | 2 | no | — |
| 207 | #904 | — | 5 | 1 | no | — |
| 208 | #904 | — | 10 | 1 | no | — |
| 209 | C2×D24 | — | 10 | 1 | no | — |
| 210 | C2×D24 | C2×D5 | 1 | 1 | yes | characteristic |
| 211 | #901 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 212 | C3×#108 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 213 | C3×#101 | — | 5 | 2 | no | — |
| 214 | #837 | — | 5 | 1 | no | — |
| 215 | #825 | — | 5 | 1 | no | — |
| 216 | #825 | — | 5 | 2 | no | — |
| 217 | #823 | C2×D5 | 1 | 2 | yes | complemented |
| 218 | #822 | — | 5 | 1 | no | — |
| 219 | C8×Dic3 | — | 5 | 1 | no | — |
| 220 | C5×#41 | — | 3 | 1 | no | — |
| 221 | C2×C5×D4 | — | 3 | 2 | no | — |
| 222 | C2×C22⋊D5 | — | 12 | 2 | no | — |
| 223 | Q8×D5 | — | 6 | 2 | no | — |
| 224 | #711 | — | 6 | 2 | no | — |
| 225 | #711 | — | 6 | 2 | no | — |
| 226 | #711 | — | 6 | 2 | no | — |
| 227 | #711 | — | 12 | 2 | no | — |
| 228 | D4×D5 | — | 6 | 2 | no | — |
| 229 | D4×D5 | — | 6 | 2 | no | — |
| 230 | #709 | — | 3 | 2 | no | — |
| 231 | #709 | — | 6 | 2 | no | — |
| 232 | #709 | C22×D3 | 1 | 1 | yes | characteristic |
| 233 | C2×Dic10 | — | 6 | 2 | no | — |
| 234 | C2×Dic10 | C22×D3 | 1 | 2 | yes | — |
| 235 | C5×SD16 | — | 6 | 2 | no | — |
| 236 | C5×D8 | — | 6 | 2 | no | — |
| 237 | C5×D8 | — | 6 | 1 | no | — |
| 238 | C5×D8 | — | 6 | 1 | no | — |
| 239 | C5×M16 | — | 3 | 1 | no | — |
| 240 | C5×M16 | — | 6 | 1 | no | — |
| 241 | C5×M16 | C22×D3 | 1 | 2 | yes | — |
| 242 | C2×C5×C8 | — | 6 | 1 | no | — |
| 243 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 244 | C22⋊Dic5 | — | 12 | 2 | no | — |
| 245 | #689 | — | 3 | 1 | no | — |
| 246 | #688 | — | 3 | 1 | no | — |
| 247 | #687 | — | 3 | 1 | no | — |
| 248 | #687 | — | 6 | 2 | no | — |
| 249 | #687 | — | 6 | 2 | no | — |
| 250 | #687 | — | 6 | 2 | no | — |
| 251 | #686 | — | 3 | 1 | no | — |
| 252 | #686 | — | 6 | 2 | no | — |
| 253 | C4×Dic5 | — | 3 | 1 | no | — |
| 254 | #681 | C22×D3 | 1 | 1 | yes | characteristic |
| 255 | C2×#168 | — | 3 | 1 | no | — |
| 256 | Dic20 | — | 2 | 2 | no | — |
| 257 | Dic20 | — | 2 | 1 | no | — |
| 258 | Dic20 | — | 2 | 1 | no | — |
| 259 | Dic20 | — | 3 | 1 | no | — |
| 260 | Dic20 | — | 6 | 2 | no | — |
| 261 | D40 | — | 3 | 1 | no | — |
| 262 | #677 | — | 2 | 2 | no | — |
| 263 | #677 | — | 3 | 2 | no | — |
| 264 | #677 | — | 6 | 2 | no | — |
| 265 | #676 | — | 2 | 1 | no | — |
| 266 | #676 | — | 6 | 2 | no | — |
| 267 | C8×D5 | — | 2 | 1 | no | — |
| 268 | C8×D5 | — | 6 | 2 | no | — |
| 269 | #578 | — | 15 | 1 | no | — |
| 270 | #577 | — | 15 | 2 | no | — |
| 271 | #576 | — | 15 | 1 | no | — |
| 272 | #495 | — | 15 | 1 | no | — |
| 273 | #473 | — | 5 | 1 | no | — |
| 274 | #472 | — | 3 | 1 | no | — |
| 275 | #471 | — | 15 | 2 | no | — |
| 276 | #455 | — | 15 | 2 | no | — |
| 277 | #454 | — | 15 | 2 | no | — |
| 278 | #443 | — | 15 | 1 | no | — |
| 279 | #443 | — | 15 | 1 | no | — |
| 280 | C22×C3×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 281 | C2×D15 | — | 2 | 2 | no | — |
| 282 | C2×C5×D3 | — | 2 | 1 | no | — |
| 283 | C2×C5×D3 | — | 4 | 2 | no | — |
| 284 | C2×C5×D3 | — | 8 | 2 | no | — |
| 285 | C2×C3×D5 | — | 2 | 1 | no | — |
| 286 | D3×D5 | — | 16 | 2 | no | — |
| 287 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 288 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 289 | Dic15 | — | 2 | 2 | no | — |
| 290 | Dic15 | — | 4 | 1 | no | — |
| 291 | C3×Dic5 | — | 2 | 1 | no | — |
| 292 | C3×Dic5 | — | 4 | 2 | no | — |
| 293 | C5×Dic3 | — | 2 | 1 | no | — |
| 294 | C3×#41 | — | 5 | 1 | no | — |
| 295 | C2×C3×Q8 | — | 5 | 2 | no | — |
| 296 | #239 | — | 10 | 2 | no | — |
| 297 | #239 | — | 10 | 2 | no | — |
| 298 | #239 | — | 10 | 2 | no | — |
| 299 | D3×Q8 | — | 10 | 2 | no | — |
| 300 | D3×Q8 | — | 10 | 2 | no | — |
| 301 | D3×D4 | — | 10 | 2 | no | — |
| 302 | D3×D4 | — | 20 | 2 | no | — |
| 303 | #235 | — | 5 | 2 | no | — |
| 304 | #235 | — | 10 | 2 | no | — |
| 305 | #235 | — | 20 | 2 | no | — |
| 306 | #235 | C22×D5 | 1 | 1 | yes | characteristic |
| 307 | C2×D12 | — | 10 | 2 | no | — |
| 308 | C2×D12 | C22×D5 | 1 | 2 | yes | — |
| 309 | C3×Q16 | — | 10 | 2 | no | — |
| 310 | C3×Q16 | — | 10 | 1 | no | — |
| 311 | C3×Q16 | — | 10 | 1 | no | — |
| 312 | C3×SD16 | — | 10 | 2 | no | — |
| 313 | C3×M16 | — | 5 | 1 | no | — |
| 314 | C3×M16 | — | 10 | 1 | no | — |
| 315 | C3×M16 | C22×D5 | 1 | 2 | yes | — |
| 316 | C2×C3×C8 | — | 10 | 1 | no | — |
| 317 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 318 | #216 | — | 5 | 1 | no | — |
| 319 | #216 | — | 10 | 2 | no | — |
| 320 | #215 | — | 5 | 1 | no | — |
| 321 | #215 | — | 10 | 2 | no | — |
| 322 | #215 | — | 10 | 2 | no | — |
| 323 | #215 | — | 10 | 2 | no | — |
| 324 | #214 | — | 5 | 1 | no | — |
| 325 | #213 | — | 5 | 1 | no | — |
| 326 | (C2×D3)⋊C4 | — | 20 | 2 | no | — |
| 327 | C4×Dic3 | — | 5 | 1 | no | — |
| 328 | #208 | C22×D5 | 1 | 1 | yes | characteristic |
| 329 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 330 | Dic12 | — | 5 | 1 | no | — |
| 331 | D24 | — | 2 | 2 | no | — |
| 332 | D24 | — | 2 | 1 | no | — |
| 333 | D24 | — | 2 | 1 | no | — |
| 334 | D24 | — | 5 | 1 | no | — |
| 335 | D24 | — | 10 | 2 | no | — |
| 336 | #204 | — | 2 | 2 | no | — |
| 337 | #204 | — | 5 | 2 | no | — |
| 338 | #204 | — | 10 | 2 | no | — |
| 339 | ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 340 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 341 | D3×C8 | — | 2 | 1 | no | — |
| 342 | D3×C8 | — | 10 | 2 | no | — |
| 343 | C23×C5 | — | 6 | 2 | no | — |
| 344 | C22×D5 | — | 12 | 2 | no | — |
| 345 | C5×Q8 | — | 3 | 1 | no | — |
| 346 | C5×D4 | — | 3 | 1 | no | — |
| 347 | C5×D4 | — | 6 | 1 | no | — |
| 348 | C5×D4 | — | 6 | 2 | no | — |
| 349 | C5×D4 | — | 6 | 2 | no | — |
| 350 | C2×C4×C5 | — | 6 | 1 | no | — |
| 351 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 352 | C22⋊D5 | — | 2 | 1 | no | — |
| 353 | C22⋊D5 | — | 6 | 2 | no | — |
| 354 | C22⋊D5 | — | 12 | 2 | no | — |
| 355 | C22⋊D5 | — | 12 | 2 | no | — |
| 356 | C22⋊D5 | — | 12 | 2 | no | — |
| 357 | C2×Dic5 | — | 2 | 2 | no | — |
| 358 | C2×Dic5 | — | 6 | 1 | no | — |
| 359 | C2×Dic5 | — | 12 | 2 | no | — |
| 360 | C2×Dic5 | — | 12 | 2 | no | — |
| 361 | D20 | — | 3 | 2 | no | — |
| 362 | D20 | D3×D4 | 1 | 1 | yes | characteristic |
| 363 | C4×D5 | — | 2 | 1 | no | — |
| 364 | C4×D5 | — | 6 | 2 | no | — |
| 365 | C4×D5 | — | 12 | 2 | no | — |
| 366 | Dic10 | — | 2 | 2 | no | — |
| 367 | Dic10 | — | 2 | 2 | no | — |
| 368 | Dic10 | — | 3 | 2 | no | — |
| 369 | Dic10 | — | 12 | 2 | no | — |
| 370 | Dic10 | D3×D4 | 1 | 1 | yes | characteristic |
| 371 | C5×C8 | — | 2 | 2 | no | — |
| 372 | C5×C8 | — | 6 | 1 | no | — |
| 373 | C5×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 374 | C5×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 375 | #168 | — | 2 | 1 | no | — |
| 376 | #168 | — | 3 | 1 | no | — |
| 377 | #168 | — | 3 | 1 | no | — |
| 378 | 2−1+4 | — | 15 | 2 | no | — |
| 379 | H(5,𝔽2) | — | 15 | 2 | no | — |
| 380 | #137 | — | 5 | 2 | no | — |
| 381 | #137 | — | 15 | 2 | no | — |
| 382 | #137 | — | 30 | 2 | no | — |
| 383 | #137 | — | 30 | 2 | no | — |
| 384 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 385 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 386 | AGL(1,ℤ/8) | — | 30 | 2 | no | — |
| 387 | AGL(1,ℤ/8) | — | 30 | 2 | no | — |
| 388 | #135 | — | 15 | 1 | no | — |
| 389 | #135 | — | 15 | 1 | no | — |
| 390 | #135 | — | 30 | 1 | no | — |
| 391 | #135 | — | 30 | 1 | no | — |
| 392 | #135 | — | 30 | 2 | no | — |
| 393 | C2×Q16 | — | 5 | 1 | no | — |
| 394 | C2×Q16 | — | 30 | 1 | no | — |
| 395 | C2×SD16 | — | 15 | 2 | no | — |
| 396 | C2×SD16 | — | 30 | 2 | no | — |
| 397 | C2×D8 | — | 3 | 1 | no | — |
| 398 | C2×D8 | — | 30 | 1 | no | — |
| 399 | #131 | — | 3 | 1 | no | — |
| 400 | #131 | — | 5 | 1 | no | — |
| 401 | #131 | — | 15 | 2 | no | — |
| 402 | #124 | — | 15 | 2 | no | — |
| 403 | #108 | — | 15 | 1 | no | — |
| 404 | #108 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 405 | #104 | — | 15 | 1 | no | — |
| 406 | #104 | — | 15 | 1 | no | — |
| 407 | #104 | — | 15 | 2 | no | — |
| 408 | #101 | — | 5 | 2 | no | — |
| 409 | #100 | — | 3 | 2 | no | — |
| 410 | C4×C8 | — | 15 | 1 | no | — |
| 411 | C2×C3×C5 | — | 2 | 1 | no | — |
| 412 | C2×C3×C5 | D42 | 1 | 1 | yes | characteristic |
| 413 | D15 | — | 4 | 2 | no | — |
| 414 | C3×D5 | — | 4 | 1 | no | — |
| 415 | C5×D3 | — | 4 | 1 | no | — |
| 416 | C5×D3 | — | 8 | 2 | no | — |
| 417 | C22×D3 | — | 2 | 2 | no | — |
| 418 | C22×D3 | — | 20 | 2 | no | — |
| 419 | C3×Q8 | — | 5 | 1 | no | — |
| 420 | C3×Q8 | — | 10 | 2 | no | — |
| 421 | C3×Q8 | — | 10 | 2 | no | — |
| 422 | C3×D4 | — | 5 | 1 | no | — |
| 423 | C3×D4 | — | 10 | 1 | no | — |
| 424 | C2×C3×C4 | — | 10 | 1 | no | — |
| 425 | C2×C3×C4 | — | 10 | 2 | no | — |
| 426 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 427 | #67 | — | 2 | 1 | no | — |
| 428 | #67 | — | 10 | 2 | no | — |
| 429 | #67 | — | 20 | 2 | no | — |
| 430 | C2×Dic3 | — | 10 | 1 | no | — |
| 431 | D12 | — | 2 | 2 | no | — |
| 432 | D12 | — | 2 | 2 | no | — |
| 433 | D12 | — | 5 | 2 | no | — |
| 434 | D12 | — | 20 | 2 | no | — |
| 435 | D12 | — | 20 | 2 | no | — |
| 436 | D12 | D4×D5 | 1 | 1 | yes | characteristic |
| 437 | C4×D3 | — | 2 | 1 | no | — |
| 438 | C4×D3 | — | 10 | 2 | no | — |
| 439 | C4×D3 | — | 20 | 2 | no | — |
| 440 | C4×D3 | — | 20 | 2 | no | — |
| 441 | C4×D3 | — | 20 | 2 | no | — |
| 442 | Dic6 | — | 5 | 2 | no | — |
| 443 | Dic6 | — | 20 | 2 | no | — |
| 444 | Dic6 | D4×D5 | 1 | 1 | yes | characteristic |
| 445 | C3×C8 | — | 2 | 2 | no | — |
| 446 | C3×C8 | — | 10 | 1 | no | — |
| 447 | C3×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 448 | C3×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 449 | C3⋊C8 | — | 2 | 1 | no | — |
| 450 | C3⋊C8 | — | 5 | 1 | no | — |
| 451 | C3⋊C8 | — | 5 | 1 | no | — |
| 452 | C22×C5 | — | 6 | 1 | no | — |
| 453 | C22×C5 | — | 12 | 2 | no | — |
| 454 | C22×C5 | — | 24 | 2 | no | — |
| 455 | C22×C5 | #1009 | 1 | 1 | yes | characteristic |
| 456 | C2×D5 | — | 2 | 1 | no | — |
| 457 | C2×D5 | — | 6 | 2 | no | — |
| 458 | C2×D5 | — | 48 | 2 | no | — |
| 459 | C4×C5 | — | 6 | 1 | no | — |
| 460 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 461 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 462 | Dic5 | — | 2 | 1 | no | — |
| 463 | Dic5 | — | 4 | 2 | no | — |
| 464 | Dic5 | — | 6 | 2 | no | — |
| 465 | Dic5 | — | 12 | 1 | no | — |
| 466 | #41 | — | 3 | 1 | no | — |
| 467 | #41 | — | 5 | 1 | no | — |
| 468 | #41 | — | 15 | 2 | no | — |
| 469 | #41 | — | 30 | 2 | no | — |
| 470 | #41 | — | 30 | 2 | no | — |
| 471 | #41 | — | 30 | 2 | no | — |
| 472 | #41 | — | 30 | 2 | no | — |
| 473 | #41 | — | 60 | 2 | no | — |
| 474 | C2×Q8 | — | 5 | 2 | no | — |
| 475 | C2×Q8 | — | 30 | 2 | no | — |
| 476 | C2×Q8 | — | 30 | 2 | no | — |
| 477 | C2×D4 | — | 3 | 2 | no | — |
| 478 | C2×D4 | — | 30 | 2 | no | — |
| 479 | C2×D4 | — | 30 | 2 | no | — |
| 480 | C2×D4 | — | 60 | 2 | no | — |
| 481 | Q16 | — | 10 | 2 | no | — |
| 482 | Q16 | — | 10 | 1 | no | — |
| 483 | Q16 | — | 10 | 1 | no | — |
| 484 | Q16 | — | 15 | 1 | no | — |
| 485 | Q16 | — | 15 | 1 | no | — |
| 486 | Q16 | — | 30 | 2 | no | — |
| 487 | SD16 | — | 6 | 2 | no | — |
| 488 | SD16 | — | 10 | 2 | no | — |
| 489 | SD16 | — | 15 | 1 | no | — |
| 490 | SD16 | — | 15 | 1 | no | — |
| 491 | SD16 | — | 15 | 2 | no | — |
| 492 | SD16 | — | 30 | 2 | no | — |
| 493 | SD16 | — | 30 | 2 | no | — |
| 494 | SD16 | — | 30 | 2 | no | — |
| 495 | SD16 | — | 30 | 2 | no | — |
| 496 | D8 | — | 6 | 2 | no | — |
| 497 | D8 | — | 6 | 1 | no | — |
| 498 | D8 | — | 6 | 1 | no | — |
| 499 | D8 | — | 15 | 1 | no | — |
| 500 | D8 | — | 15 | 1 | no | — |
| 501 | D8 | — | 30 | 2 | no | — |
| 502 | M16 | — | 3 | 1 | no | — |
| 503 | M16 | — | 5 | 1 | no | — |
| 504 | M16 | — | 6 | 1 | no | — |
| 505 | M16 | — | 10 | 1 | no | — |
| 506 | M16 | — | 30 | 2 | no | — |
| 507 | M16 | C2×D3×D5 | 1 | 2 | yes | — |
| 508 | C2×C8 | — | 6 | 1 | no | — |
| 509 | C2×C8 | — | 10 | 1 | no | — |
| 510 | C2×C8 | — | 15 | 1 | no | — |
| 511 | C2×C8 | — | 30 | 2 | no | — |
| 512 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 513 | C22⋊C4 | — | 60 | 2 | no | — |
| 514 | C42 | — | 15 | 1 | no | — |
| 515 | C3×C5 | #3290 | 1 | 1 | yes | characteristic, complemented, Hall |
| 516 | C22×C3 | — | 10 | 1 | no | — |
| 517 | C22×C3 | #4149 | 1 | 1 | yes | characteristic |
| 518 | C2×D3 | — | 2 | 1 | no | — |
| 519 | C2×D3 | — | 4 | 2 | no | — |
| 520 | C2×D3 | — | 8 | 2 | no | — |
| 521 | C2×D3 | — | 10 | 2 | no | — |
| 522 | C2×D3 | — | 80 | 2 | no | — |
| 523 | C3×C4 | — | 10 | 1 | no | — |
| 524 | C3×C4 | — | 20 | 2 | no | — |
| 525 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 526 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 527 | Dic3 | — | 2 | 1 | no | — |
| 528 | Dic3 | — | 10 | 2 | no | — |
| 529 | Dic3 | — | 20 | 1 | no | — |
| 530 | C2×C5 | — | 2 | 1 | no | — |
| 531 | C2×C5 | — | 12 | 1 | no | — |
| 532 | C2×C5 | — | 24 | 2 | no | — |
| 533 | C2×C5 | #5609 | 1 | 1 | yes | characteristic |
| 534 | D5 | — | 4 | 1 | no | — |
| 535 | D5 | — | 12 | 2 | no | — |
| 536 | C23 | — | 6 | 2 | no | — |
| 537 | C23 | — | 60 | 2 | no | — |
| 538 | Q8 | — | 3 | 1 | no | — |
| 539 | Q8 | — | 5 | 1 | no | — |
| 540 | Q8 | — | 10 | 2 | no | — |
| 541 | Q8 | — | 10 | 2 | no | — |
| 542 | Q8 | — | 15 | 2 | no | — |
| 543 | Q8 | — | 60 | 2 | no | — |
| 544 | D4 | — | 3 | 1 | no | — |
| 545 | D4 | — | 5 | 1 | no | — |
| 546 | D4 | — | 6 | 1 | no | — |
| 547 | D4 | — | 6 | 2 | no | — |
| 548 | D4 | — | 6 | 2 | no | — |
| 549 | D4 | — | 10 | 1 | no | — |
| 550 | D4 | — | 15 | 2 | no | — |
| 551 | D4 | — | 30 | 2 | no | — |
| 552 | D4 | — | 60 | 2 | no | — |
| 553 | D4 | — | 60 | 2 | no | — |
| 554 | D4 | — | 60 | 2 | no | — |
| 555 | C2×C4 | — | 6 | 1 | no | — |
| 556 | C2×C4 | — | 10 | 1 | no | — |
| 557 | C2×C4 | — | 10 | 2 | no | — |
| 558 | C2×C4 | — | 30 | 2 | no | — |
| 559 | C2×C4 | — | 30 | 1 | no | — |
| 560 | C2×C4 | — | 60 | 2 | no | — |
| 561 | C2×C4 | — | 60 | 2 | no | — |
| 562 | C2×C4 | — | 60 | 2 | no | — |
| 563 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 564 | C8 | — | 2 | 2 | no | — |
| 565 | C8 | — | 6 | 1 | no | — |
| 566 | C8 | — | 10 | 1 | no | — |
| 567 | C8 | — | 15 | 1 | no | — |
| 568 | C8 | — | 15 | 1 | no | — |
| 569 | C8 | #6777 | 1 | 1 | yes | characteristic |
| 570 | C8 | #6777 | 1 | 1 | yes | characteristic |
| 571 | C2×C3 | — | 2 | 1 | no | — |
| 572 | C2×C3 | — | 20 | 1 | no | — |
| 573 | C2×C3 | #65943 | 1 | 1 | yes | characteristic |
| 574 | D3 | — | 4 | 1 | no | — |
| 575 | D3 | — | 8 | 2 | no | — |
| 576 | D3 | — | 20 | 2 | no | — |
| 577 | C5 | #80946 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 578 | C22 | — | 6 | 1 | no | — |
| 579 | C22 | — | 10 | 1 | no | — |
| 580 | C22 | — | 12 | 2 | no | — |
| 581 | C22 | — | 24 | 2 | no | — |
| 582 | C22 | — | 30 | 2 | no | — |
| 583 | C22 | — | 240 | 2 | no | — |
| 584 | C22 | #92035 | 1 | 1 | yes | characteristic |
| 585 | C4 | — | 6 | 1 | no | — |
| 586 | C4 | — | 10 | 1 | no | — |
| 587 | C4 | — | 20 | 2 | no | — |
| 588 | C4 | — | 30 | 2 | no | — |
| 589 | C4 | — | 60 | 1 | no | — |
| 590 | C4 | C2×#6777 | 1 | 1 | yes | characteristic |
| 591 | C4 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 592 | C3 | #10612671 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 593 | C2 | — | 2 | 1 | no | — |
| 594 | C2 | — | 12 | 1 | no | — |
| 595 | C2 | — | 20 | 1 | no | — |
| 596 | C2 | — | 24 | 2 | no | — |
| 597 | C2 | — | 60 | 2 | no | — |
| 598 | C2 | #11753857 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11754039 | C2 | semidirect |
| 2. #11753991 | C2 | semidirect |
| 3. #11753961 | C2 | semidirect |
| 4. #11750996 | C2 | semidirect |
| 5. C5×#4897 | C2 | semidirect |
| 6. C3×#65185 | C2 | semidirect |
| 7. #11748259 | C2 | semidirect |
| 8. #11748241 | C2 | semidirect |
| 9. #11748199 | C2 | semidirect |
| 10. #11748074 | C2 | semidirect |
| 11. #11747982 | C2 | semidirect |
| 14. #92004 | C22 | semidirect |
| 15. #91796 | C22 | semidirect |
| 17. C5×#908 | C22 | semidirect |
| 19. C5×#901 | C22 | semidirect |
| 21. C2×C3×Dic20 | C22 | semidirect |
| 23. #91370 | C22 | semidirect |
| 24. #91315 | C22 | semidirect |
| 25. C2×#6656 | C22 | semidirect |
| 38. C3×C5×#108 | C22 | semidirect |
| 39. #91109 | C22 | semidirect |
| 40. C8×Dic15 | C22 | semidirect |
| 41. C5×#823 | C22 | semidirect |
| 42. C3×#3956 | C22 | semidirect |
| 43. #90992 | C22 | semidirect |
| 44. #90978 | C22 | semidirect |
| 54. #65185 | D3 | semidirect |
| 114. #4897 | D5 | semidirect |
| 139. C2×Dic20 | C2×D3 | semidirect |
| 143. C5×#108 | C2×D3 | semidirect |
| 148. #3956 | C2×D3 | semidirect |
| 205. #908 | C2×D5 | semidirect |
| 211. #901 | C2×D5 | semidirect |
| 212. C3×#108 | C2×D5 | semidirect |
| 217. #823 | C2×D5 | semidirect |
| 404. #108 | D3×D5 | semidirect |
| 515. C3×C5 | #3290 | semidirect |
| 577. C5 | #80946 | semidirect |
| 592. C3 | #10612671 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754039 | 2 |
| #11753991 | 2 |
| #11753961 | 2 |
| #11750996 | 2 |
| C5×#4897 | 2 |
| C3×#65185 | 2 |
| #11748259 | 2 |
| #11748241 | 2 |
| #11748199 | 2 |
| #11748074 | 2 |
| #11747982 | 2 |
| #10612671 | 3 |
| #80946 | 5 |