Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 76 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 | #11755146 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11750852 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11749374 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C5×#4478 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#64698 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11746016 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11746015 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10599966 | — | 3 | 1 | no | maximal, Hall |
| 9 | C2×#6821 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×D15⋊Q8 | C4 | 1 | 1 | yes | characteristic |
| 11 | M16×D15 | — | 2 | 1 | no | — |
| 12 | C5×#944 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×#4090 | C22 | 1 | 1 | yes | characteristic |
| 14 | #91433 | — | 2 | 1 | no | — |
| 15 | #91433 | — | 2 | 1 | no | — |
| 16 | #91386 | C4 | 1 | 1 | yes | characteristic |
| 17 | #91377 | — | 2 | 1 | no | — |
| 18 | #91377 | — | 2 | 1 | no | — |
| 19 | #91375 | C4 | 1 | 1 | yes | characteristic |
| 20 | #91374 | C4 | 1 | 1 | yes | characteristic |
| 21 | #91292 | — | 2 | 1 | no | — |
| 22 | C3×C5×#101 | C22 | 1 | 1 | yes | characteristic |
| 23 | #91120 | C22 | 1 | 1 | yes | characteristic |
| 24 | #91107 | — | 2 | 1 | no | — |
| 25 | C5×#836 | C22 | 1 | 1 | yes | characteristic |
| 26 | C3×#3968 | C22 | 1 | 1 | yes | characteristic |
| 27 | #90960 | — | 2 | 1 | no | — |
| 28 | #69173 | — | 5 | 1 | no | maximal, Hall |
| 29 | #66058 | — | 3 | 1 | no | — |
| 30 | #65040 | — | 3 | 1 | no | — |
| 31 | #65040 | — | 3 | 1 | no | — |
| 32 | C5×#356 | — | 3 | 1 | no | — |
| 33 | #64768 | — | 3 | 1 | no | — |
| 34 | #64698 | — | 3 | 1 | no | — |
| 35 | #64698 | D3 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 37 | #6821 | — | 4 | 1 | no | — |
| 38 | #6821 | — | 4 | 1 | no | — |
| 39 | C2×D60 | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | C2×D60 | D4 | 1 | 1 | yes | characteristic |
| 41 | C2×D60 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×C4×D15 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C2×C4×D15 | D4 | 1 | 1 | yes | characteristic |
| 44 | C2×C4×D15 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | C2×C3×Dic10 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C2×#1204 | — | 2 | 1 | no | — |
| 48 | C2×#1200 | — | 2 | 1 | no | — |
| 49 | D15⋊Q8 | — | 4 | 1 | no | — |
| 50 | D15⋊Q8 | — | 4 | 1 | no | — |
| 51 | C3×C5×M16 | — | 2 | 1 | no | — |
| 52 | #6710 | — | 2 | 1 | no | — |
| 53 | #6705 | — | 4 | 1 | no | — |
| 54 | C8×D15 | — | 4 | 1 | no | — |
| 55 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 56 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 57 | C4×C5×Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C5×#208 | — | 2 | 1 | no | — |
| 59 | C3×#683 | — | 2 | 1 | no | — |
| 60 | C3×#683 | — | 2 | 1 | no | — |
| 61 | C3×C4×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | C3×#681 | — | 2 | 1 | no | — |
| 63 | #6669 | — | 2 | 1 | no | — |
| 64 | #6667 | — | 2 | 1 | no | — |
| 65 | #6667 | — | 2 | 1 | no | — |
| 66 | #6667 | — | 2 | 1 | no | — |
| 67 | #6667 | — | 2 | 1 | no | — |
| 68 | #6667 | — | 2 | 1 | no | — |
| 69 | #6651 | — | 4 | 1 | no | — |
| 70 | #6648 | — | 4 | 1 | no | — |
| 71 | #5724 | — | 5 | 1 | no | — |
| 72 | #4751 | — | 5 | 1 | no | — |
| 73 | #4751 | — | 5 | 1 | no | — |
| 74 | C3×#356 | — | 5 | 1 | no | — |
| 75 | #4548 | — | 5 | 1 | no | — |
| 76 | #4478 | — | 5 | 1 | no | — |
| 77 | #4478 | D5 | 1 | 1 | yes | characteristic, complemented |
| 78 | C2×#713 | — | 3 | 1 | no | — |
| 79 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 80 | C5×C4⋊Q8 | — | 3 | 1 | no | — |
| 81 | #4093 | — | 3 | 1 | no | — |
| 82 | #4090 | C2×D3 | 1 | 1 | yes | characteristic |
| 83 | D5×M16 | — | 6 | 1 | no | — |
| 84 | D5×M16 | — | 6 | 1 | no | — |
| 85 | #4042 | — | 6 | 1 | no | — |
| 86 | #4042 | — | 6 | 1 | no | — |
| 87 | #4040 | — | 6 | 1 | no | — |
| 88 | #4040 | — | 6 | 1 | no | — |
| 89 | #4021 | — | 3 | 1 | no | — |
| 90 | #4018 | — | 3 | 1 | no | — |
| 91 | C5×#101 | — | 3 | 1 | no | — |
| 92 | C5×#101 | C2×D3 | 1 | 1 | yes | characteristic |
| 93 | #3968 | — | 3 | 1 | no | — |
| 94 | #3968 | C2×D3 | 1 | 1 | yes | characteristic |
| 95 | #3955 | — | 6 | 1 | no | — |
| 96 | #3955 | — | 6 | 1 | no | — |
| 97 | #2135 | — | 15 | 1 | no | Sylow |
| 98 | C22×D15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 99 | C22×D15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 100 | C22×D15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 101 | C3×C5×Q8 | — | 4 | 1 | no | — |
| 102 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 103 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 104 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C2×Dic15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 106 | D60 | — | 4 | 1 | no | — |
| 107 | D60 | — | 4 | 1 | no | — |
| 108 | D60 | — | 4 | 1 | no | — |
| 109 | C4×D15 | — | 2 | 1 | no | — |
| 110 | C4×D15 | — | 2 | 1 | no | — |
| 111 | C4×D15 | — | 2 | 1 | no | — |
| 112 | C4×D15 | — | 2 | 1 | no | — |
| 113 | C4×D15 | — | 2 | 1 | no | — |
| 114 | C4×D15 | — | 2 | 1 | no | — |
| 115 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 116 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 117 | C5×Dic6 | — | 4 | 1 | no | — |
| 118 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 119 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 120 | C3×Dic10 | — | 4 | 1 | no | — |
| 121 | #1204 | — | 4 | 1 | no | — |
| 122 | #1204 | — | 4 | 1 | no | — |
| 123 | #1200 | — | 4 | 2 | no | — |
| 124 | C3×C5×C8 | — | 4 | 1 | no | — |
| 125 | C3⋊#168 | — | 4 | 1 | no | — |
| 126 | C3×#168 | — | 4 | 1 | no | — |
| 127 | C5×C3⋊C8 | — | 4 | 1 | no | — |
| 128 | C2×#239 | — | 5 | 1 | no | — |
| 129 | C2×D3×Q8 | — | 5 | 1 | no | — |
| 130 | C3×C4⋊Q8 | — | 5 | 1 | no | — |
| 131 | #947 | — | 5 | 1 | no | — |
| 132 | #944 | C2×D5 | 1 | 1 | yes | characteristic |
| 133 | D3×M16 | — | 10 | 1 | no | — |
| 134 | D3×M16 | — | 10 | 1 | no | — |
| 135 | #896 | — | 10 | 1 | no | — |
| 136 | #896 | — | 10 | 1 | no | — |
| 137 | #894 | — | 10 | 1 | no | — |
| 138 | #894 | — | 10 | 1 | no | — |
| 139 | #875 | — | 5 | 1 | no | — |
| 140 | #872 | — | 5 | 1 | no | — |
| 141 | C3×#101 | — | 5 | 1 | no | — |
| 142 | C3×#101 | C2×D5 | 1 | 1 | yes | characteristic |
| 143 | #836 | — | 5 | 1 | no | — |
| 144 | #836 | C2×D5 | 1 | 1 | yes | characteristic |
| 145 | #823 | — | 10 | 1 | no | — |
| 146 | #823 | — | 10 | 1 | no | — |
| 147 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 148 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 149 | #713 | — | 12 | 1 | no | — |
| 150 | #713 | — | 12 | 1 | no | — |
| 151 | Q8×D5 | — | 12 | 1 | no | — |
| 152 | Q8×D5 | — | 12 | 1 | no | — |
| 153 | C2×D20 | — | 3 | 1 | no | — |
| 154 | C2×D20 | — | 3 | 1 | no | — |
| 155 | C2×D20 | — | 3 | 1 | no | — |
| 156 | C2×C4×D5 | — | 3 | 1 | no | — |
| 157 | C2×C4×D5 | — | 3 | 1 | no | — |
| 158 | C2×C4×D5 | — | 3 | 1 | no | — |
| 159 | C2×C4×D5 | — | 6 | 1 | no | — |
| 160 | C2×Dic10 | — | 6 | 1 | no | — |
| 161 | C2×Dic10 | C4×D3 | 1 | 1 | yes | characteristic |
| 162 | C5×M16 | — | 2 | 1 | no | — |
| 163 | C5×M16 | — | 6 | 1 | no | — |
| 164 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 165 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 166 | C42×C5 | — | 3 | 1 | no | — |
| 167 | #685 | — | 6 | 1 | no | — |
| 168 | #685 | — | 6 | 1 | no | — |
| 169 | #685 | — | 6 | 1 | no | — |
| 170 | #685 | — | 6 | 1 | no | — |
| 171 | #685 | — | 6 | 1 | no | — |
| 172 | #683 | — | 2 | 1 | no | — |
| 173 | #683 | — | 2 | 1 | no | — |
| 174 | #683 | — | 6 | 1 | no | — |
| 175 | C4×Dic5 | C4×D3 | 1 | 1 | yes | characteristic |
| 176 | #681 | — | 2 | 1 | no | — |
| 177 | #681 | — | 6 | 1 | no | — |
| 178 | #676 | — | 12 | 1 | no | — |
| 179 | #676 | — | 12 | 1 | no | — |
| 180 | C8×D5 | — | 12 | 1 | no | — |
| 181 | C8×D5 | — | 12 | 1 | no | — |
| 182 | #536 | — | 15 | 1 | no | — |
| 183 | #413 | — | 15 | 1 | no | — |
| 184 | #413 | — | 15 | 1 | no | — |
| 185 | #356 | — | 3 | 1 | no | — |
| 186 | #356 | — | 5 | 1 | no | — |
| 187 | #356 | — | 15 | 1 | no | — |
| 188 | #356 | — | 15 | 1 | no | — |
| 189 | C22×C3×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 190 | C2×D15 | — | 2 | 1 | no | — |
| 191 | C2×D15 | — | 2 | 1 | no | — |
| 192 | C2×D15 | — | 2 | 1 | no | — |
| 193 | C2×D15 | — | 4 | 1 | no | — |
| 194 | C2×D15 | — | 4 | 1 | no | — |
| 195 | C2×D15 | — | 4 | 1 | no | — |
| 196 | C3×C4×C5 | — | 2 | 1 | no | — |
| 197 | C3×C4×C5 | — | 2 | 1 | no | — |
| 198 | C3×C4×C5 | — | 2 | 1 | no | — |
| 199 | Dic15 | #99 | 1 | 1 | yes | characteristic |
| 200 | Dic15 | #99 | 1 | 1 | yes | characteristic |
| 201 | C3×Dic5 | — | 4 | 1 | no | — |
| 202 | C3×Dic5 | — | 4 | 1 | no | — |
| 203 | C5×Dic3 | — | 4 | 1 | no | — |
| 204 | C5×Dic3 | — | 4 | 1 | no | — |
| 205 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 206 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 207 | #239 | — | 20 | 1 | no | — |
| 208 | #239 | — | 20 | 1 | no | — |
| 209 | D3×Q8 | — | 20 | 1 | no | — |
| 210 | D3×Q8 | — | 20 | 1 | no | — |
| 211 | C2×D12 | — | 5 | 1 | no | — |
| 212 | C2×D12 | — | 5 | 1 | no | — |
| 213 | C2×D12 | — | 5 | 1 | no | — |
| 214 | C2×C4×D3 | — | 5 | 1 | no | — |
| 215 | C2×C4×D3 | — | 5 | 1 | no | — |
| 216 | C2×C4×D3 | — | 5 | 1 | no | — |
| 217 | C2×C4×D3 | — | 10 | 1 | no | — |
| 218 | C2×Dic6 | — | 10 | 1 | no | — |
| 219 | C2×Dic6 | C4×D5 | 1 | 1 | yes | characteristic |
| 220 | C3×M16 | — | 2 | 1 | no | — |
| 221 | C3×M16 | — | 10 | 1 | no | — |
| 222 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 223 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 224 | C3×C42 | — | 5 | 1 | no | — |
| 225 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 226 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 227 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 228 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 229 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 230 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 231 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 232 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 233 | C4×Dic3 | C4×D5 | 1 | 1 | yes | characteristic |
| 234 | #208 | — | 2 | 1 | no | — |
| 235 | #208 | — | 10 | 1 | no | — |
| 236 | ΓL(1,𝔽25) | — | 20 | 1 | no | — |
| 237 | ΓL(1,𝔽25) | — | 20 | 1 | no | — |
| 238 | D3×C8 | — | 20 | 1 | no | — |
| 239 | D3×C8 | — | 20 | 1 | no | — |
| 240 | C22×D5 | — | 3 | 1 | no | — |
| 241 | C22×D5 | — | 3 | 1 | no | — |
| 242 | C22×D5 | — | 3 | 1 | no | — |
| 243 | C5×Q8 | — | 4 | 1 | no | — |
| 244 | C5×Q8 | — | 12 | 1 | no | — |
| 245 | C2×C4×C5 | — | 6 | 1 | no | — |
| 246 | C2×C4×C5 | — | 6 | 1 | no | — |
| 247 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 248 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 250 | C2×Dic5 | — | 2 | 1 | no | — |
| 251 | C2×Dic5 | — | 2 | 1 | no | — |
| 252 | C2×Dic5 | — | 3 | 1 | no | — |
| 253 | D20 | — | 12 | 1 | no | — |
| 254 | D20 | — | 12 | 1 | no | — |
| 255 | D20 | — | 12 | 1 | no | — |
| 256 | C4×D5 | — | 6 | 1 | no | — |
| 257 | C4×D5 | — | 6 | 1 | no | — |
| 258 | C4×D5 | — | 6 | 1 | no | — |
| 259 | C4×D5 | — | 6 | 1 | no | — |
| 260 | C4×D5 | — | 6 | 1 | no | — |
| 261 | C4×D5 | — | 6 | 1 | no | — |
| 262 | C4×D5 | — | 12 | 2 | no | — |
| 263 | Dic10 | — | 4 | 1 | no | — |
| 264 | Dic10 | — | 12 | 1 | no | — |
| 265 | Dic10 | — | 12 | 1 | no | — |
| 266 | C5×C8 | — | 4 | 1 | no | — |
| 267 | C5×C8 | — | 12 | 1 | no | — |
| 268 | #168 | — | 4 | 1 | no | — |
| 269 | #168 | — | 12 | 1 | no | — |
| 270 | C2×#41 | — | 15 | 1 | no | — |
| 271 | C22×Q8 | — | 15 | 1 | no | — |
| 272 | C2×M16 | — | 30 | 1 | no | — |
| 273 | C2×M16 | — | 30 | 1 | no | — |
| 274 | C4⋊Q8 | — | 3 | 1 | no | — |
| 275 | C4⋊Q8 | — | 5 | 1 | no | — |
| 276 | #124 | — | 15 | 1 | no | — |
| 277 | #124 | — | 15 | 1 | no | — |
| 278 | #123 | — | 30 | 1 | no | — |
| 279 | #123 | — | 30 | 1 | no | — |
| 280 | C22⋊Q8 | — | 30 | 1 | no | — |
| 281 | C22⋊Q8 | — | 30 | 1 | no | — |
| 282 | #117 | — | 15 | 1 | no | — |
| 283 | #101 | — | 3 | 1 | no | — |
| 284 | #101 | — | 5 | 1 | no | — |
| 285 | #101 | — | 15 | 1 | no | — |
| 286 | #101 | D3×D5 | 1 | 1 | yes | characteristic |
| 287 | #100 | — | 30 | 1 | no | — |
| 288 | #100 | — | 30 | 1 | no | — |
| 289 | C2×C3×C5 | — | 2 | 1 | no | — |
| 290 | C2×C3×C5 | C2×#99 | 1 | 1 | yes | characteristic |
| 291 | D15 | — | 4 | 1 | no | — |
| 292 | D15 | — | 4 | 1 | no | — |
| 293 | D15 | — | 4 | 1 | no | — |
| 294 | C22×D3 | — | 5 | 1 | no | — |
| 295 | C22×D3 | — | 5 | 1 | no | — |
| 296 | C22×D3 | — | 5 | 1 | no | — |
| 297 | C3×Q8 | — | 4 | 1 | no | — |
| 298 | C3×Q8 | — | 20 | 1 | no | — |
| 299 | C2×C3×C4 | — | 10 | 1 | no | — |
| 300 | C2×C3×C4 | — | 10 | 1 | no | — |
| 301 | C2×C3×C4 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 302 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 303 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 304 | C2×Dic3 | — | 2 | 1 | no | — |
| 305 | C2×Dic3 | — | 2 | 1 | no | — |
| 306 | C2×Dic3 | — | 5 | 1 | no | — |
| 307 | D12 | — | 20 | 1 | no | — |
| 308 | D12 | — | 20 | 1 | no | — |
| 309 | D12 | — | 20 | 1 | no | — |
| 310 | C4×D3 | — | 10 | 1 | no | — |
| 311 | C4×D3 | — | 10 | 1 | no | — |
| 312 | C4×D3 | — | 10 | 1 | no | — |
| 313 | C4×D3 | — | 10 | 1 | no | — |
| 314 | C4×D3 | — | 10 | 1 | no | — |
| 315 | C4×D3 | — | 10 | 1 | no | — |
| 316 | C4×D3 | — | 20 | 2 | no | — |
| 317 | Dic6 | — | 4 | 1 | no | — |
| 318 | Dic6 | — | 20 | 1 | no | — |
| 319 | Dic6 | — | 20 | 1 | no | — |
| 320 | C3×C8 | — | 4 | 1 | no | — |
| 321 | C3×C8 | — | 20 | 1 | no | — |
| 322 | C3⋊C8 | — | 4 | 1 | no | — |
| 323 | C3⋊C8 | — | 20 | 1 | no | — |
| 324 | C22×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 325 | C2×D5 | — | 6 | 1 | no | — |
| 326 | C2×D5 | — | 6 | 1 | no | — |
| 327 | C2×D5 | — | 6 | 1 | no | — |
| 328 | C2×D5 | — | 12 | 1 | no | — |
| 329 | C2×D5 | — | 12 | 1 | no | — |
| 330 | C2×D5 | — | 12 | 1 | no | — |
| 331 | C4×C5 | — | 2 | 1 | no | — |
| 332 | C4×C5 | — | 2 | 1 | no | — |
| 333 | C4×C5 | — | 2 | 1 | no | — |
| 334 | C4×C5 | — | 12 | 1 | no | — |
| 335 | C4×C5 | — | 12 | 1 | no | — |
| 336 | Dic5 | — | 3 | 1 | no | — |
| 337 | Dic5 | — | 3 | 1 | no | — |
| 338 | Dic5 | — | 4 | 1 | no | — |
| 339 | Dic5 | — | 4 | 1 | no | — |
| 340 | #41 | — | 60 | 1 | no | — |
| 341 | #41 | — | 60 | 1 | no | — |
| 342 | C2×Q8 | — | 3 | 1 | no | — |
| 343 | C2×Q8 | — | 5 | 1 | no | — |
| 344 | C2×Q8 | — | 30 | 1 | no | — |
| 345 | C2×Q8 | — | 60 | 1 | no | — |
| 346 | C2×Q8 | — | 60 | 1 | no | — |
| 347 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 348 | C2×D4 | — | 15 | 1 | no | — |
| 349 | C2×D4 | — | 15 | 1 | no | — |
| 350 | C2×D4 | — | 15 | 1 | no | — |
| 351 | C22×C4 | — | 15 | 1 | no | — |
| 352 | C22×C4 | — | 15 | 1 | no | — |
| 353 | C22×C4 | — | 15 | 1 | no | — |
| 354 | C22×C4 | — | 30 | 1 | no | — |
| 355 | M16 | — | 2 | 1 | no | — |
| 356 | M16 | — | 6 | 1 | no | — |
| 357 | M16 | — | 10 | 1 | no | — |
| 358 | M16 | — | 30 | 1 | no | — |
| 359 | M16 | — | 60 | 1 | no | — |
| 360 | M16 | — | 60 | 1 | no | — |
| 361 | C2×C8 | — | 60 | 1 | no | — |
| 362 | C2×C8 | — | 60 | 1 | no | — |
| 363 | C4⋊C4 | — | 6 | 1 | no | — |
| 364 | C4⋊C4 | — | 6 | 1 | no | — |
| 365 | C4⋊C4 | — | 10 | 1 | no | — |
| 366 | C4⋊C4 | — | 10 | 1 | no | — |
| 367 | C4⋊C4 | — | 30 | 1 | no | — |
| 368 | C22⋊C4 | — | 30 | 1 | no | — |
| 369 | C22⋊C4 | — | 30 | 1 | no | — |
| 370 | C22⋊C4 | — | 30 | 1 | no | — |
| 371 | C22⋊C4 | — | 30 | 1 | no | — |
| 372 | C22⋊C4 | — | 30 | 1 | no | — |
| 373 | C42 | — | 3 | 1 | no | — |
| 374 | C42 | — | 5 | 1 | no | — |
| 375 | C3×C5 | #2135 | 1 | 1 | yes | characteristic, complemented, Hall |
| 376 | C22×C3 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 377 | C2×D3 | — | 10 | 1 | no | — |
| 378 | C2×D3 | — | 10 | 1 | no | — |
| 379 | C2×D3 | — | 10 | 1 | no | — |
| 380 | C2×D3 | — | 20 | 1 | no | — |
| 381 | C2×D3 | — | 20 | 1 | no | — |
| 382 | C2×D3 | — | 20 | 1 | no | — |
| 383 | C3×C4 | — | 2 | 1 | no | — |
| 384 | C3×C4 | — | 2 | 1 | no | — |
| 385 | C3×C4 | — | 2 | 1 | no | — |
| 386 | C3×C4 | — | 20 | 1 | no | — |
| 387 | C3×C4 | — | 20 | 1 | no | — |
| 388 | Dic3 | — | 4 | 1 | no | — |
| 389 | Dic3 | — | 4 | 1 | no | — |
| 390 | Dic3 | — | 5 | 1 | no | — |
| 391 | Dic3 | — | 5 | 1 | no | — |
| 392 | C2×C5 | — | 2 | 1 | no | — |
| 393 | C2×C5 | D3×#99 | 1 | 1 | yes | characteristic |
| 394 | D5 | — | 12 | 1 | no | — |
| 395 | D5 | — | 12 | 1 | no | — |
| 396 | D5 | — | 12 | 1 | no | — |
| 397 | C23 | — | 15 | 1 | no | — |
| 398 | C23 | — | 15 | 1 | no | — |
| 399 | C23 | — | 15 | 1 | no | — |
| 400 | Q8 | — | 4 | 1 | no | — |
| 401 | Q8 | — | 12 | 1 | no | — |
| 402 | Q8 | — | 20 | 1 | no | — |
| 403 | Q8 | — | 60 | 1 | no | — |
| 404 | Q8 | — | 60 | 1 | no | — |
| 405 | D4 | — | 60 | 1 | no | — |
| 406 | D4 | — | 60 | 1 | no | — |
| 407 | D4 | — | 60 | 1 | no | — |
| 408 | C2×C4 | — | 6 | 1 | no | — |
| 409 | C2×C4 | — | 6 | 1 | no | — |
| 410 | C2×C4 | — | 10 | 1 | no | — |
| 411 | C2×C4 | — | 10 | 1 | no | — |
| 412 | C2×C4 | — | 15 | 1 | no | — |
| 413 | C2×C4 | — | 30 | 1 | no | — |
| 414 | C2×C4 | — | 30 | 1 | no | — |
| 415 | C2×C4 | — | 30 | 1 | no | — |
| 416 | C2×C4 | — | 30 | 1 | no | — |
| 417 | C2×C4 | — | 30 | 1 | no | — |
| 418 | C2×C4 | — | 30 | 1 | no | — |
| 419 | C2×C4 | — | 60 | 2 | no | — |
| 420 | C2×C4 | C4×D3×D5 | 1 | 1 | yes | characteristic |
| 421 | C2×C4 | #6777 | 1 | 1 | yes | characteristic |
| 422 | C2×C4 | #6790 | 1 | 1 | yes | characteristic |
| 423 | C8 | — | 4 | 1 | no | — |
| 424 | C8 | — | 12 | 1 | no | — |
| 425 | C8 | — | 20 | 1 | no | — |
| 426 | C8 | — | 60 | 1 | no | — |
| 427 | C2×C3 | — | 2 | 1 | no | — |
| 428 | C2×C3 | D5×#99 | 1 | 1 | yes | characteristic |
| 429 | D3 | — | 20 | 1 | no | — |
| 430 | D3 | — | 20 | 1 | no | — |
| 431 | D3 | — | 20 | 1 | no | — |
| 432 | C5 | #69173 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 433 | C22 | — | 30 | 1 | no | — |
| 434 | C22 | — | 30 | 1 | no | — |
| 435 | C22 | — | 30 | 1 | no | — |
| 436 | C22 | — | 60 | 1 | no | — |
| 437 | C22 | — | 60 | 1 | no | — |
| 438 | C22 | — | 60 | 1 | no | — |
| 439 | C22 | #91473 | 1 | 1 | yes | characteristic |
| 440 | C4 | — | 2 | 1 | no | — |
| 441 | C4 | — | 2 | 1 | no | — |
| 442 | C4 | — | 2 | 1 | no | — |
| 443 | C4 | — | 12 | 1 | no | — |
| 444 | C4 | — | 12 | 1 | no | — |
| 445 | C4 | — | 15 | 1 | no | — |
| 446 | C4 | — | 15 | 1 | no | — |
| 447 | C4 | — | 20 | 1 | no | — |
| 448 | C4 | — | 20 | 1 | no | — |
| 449 | C3 | #10599966 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 450 | C2 | — | 2 | 1 | no | — |
| 451 | C2 | — | 60 | 1 | no | — |
| 452 | C2 | — | 60 | 1 | no | — |
| 453 | C2 | — | 60 | 1 | no | — |
| 454 | C2 | #11747128 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. C5×#4478 | C2 | semidirect |
| 5. C3×#64698 | C2 | semidirect |
| 6. #11746016 | C2 | semidirect |
| 7. #11746015 | C2 | semidirect |
| 35. #64698 | D3 | semidirect |
| 77. #4478 | D5 | semidirect |
| 375. C3×C5 | #2135 | semidirect |
| 432. C5 | #69173 | semidirect |
| 449. C3 | #10599966 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11755146 | 2 |
| #11750852 | 2 |
| #11749374 | 2 |
| C5×#4478 | 2 |
| C3×#64698 | 2 |
| #11746016 | 2 |
| #11746015 | 2 |
| #10599966 | 3 |
| #69173 | 5 |