Finite Group DatabasebetaFinite Group DatabasebetaOrder 2880.
1428 conjugacy classes of subgroups.
The subgroup lattice has 708 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13089409 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×C3⋊D3×D20 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13087365 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C5×#63818 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#91312 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13085790 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #13085695 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13085675 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | D3×#4054 | — | 3 | 2 | no | maximal |
| 10 | C22×D5×C3⋊D3 | — | 2 | 1 | no | — |
| 11 | C2×C4⋊(C3⋊D15) | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C2×C4×C5×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×#6817 | C22 | 1 | 2 | yes | complemented |
| 14 | C2×C32×D20 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #10624236 | — | 2 | 1 | no | — |
| 16 | #10624229 | — | 2 | 1 | no | — |
| 17 | #10624227 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C4×(C3⋊D3)⋊D5 | — | 2 | 1 | no | — |
| 19 | #10624223 | — | 2 | 1 | no | — |
| 20 | #10624222 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #10624220 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×#67139 | — | 2 | 1 | no | — |
| 23 | C3⋊D3×D20 | — | 2 | 1 | no | — |
| 24 | C3⋊D3×D20 | — | 2 | 1 | no | — |
| 25 | C3⋊D3×D20 | C22 | 1 | 2 | yes | — |
| 26 | C3⋊D3×D20 | C22 | 1 | 2 | yes | complemented |
| 27 | C3×C5×#208 | C22 | 1 | 2 | yes | complemented |
| 28 | #10623804 | C22 | 1 | 4 | yes | complemented |
| 29 | #10623799 | C22 | 1 | 4 | yes | complemented |
| 30 | C5×#3712 | C22 | 1 | 2 | yes | complemented |
| 31 | C5×#3710 | C22 | 1 | 2 | yes | complemented |
| 32 | C3×#6657 | C22 | 1 | 4 | yes | complemented |
| 33 | C3×#6653 | C22 | 1 | 4 | yes | complemented |
| 34 | #10595100 | — | 5 | 1 | no | maximal, Hall |
| 35 | D3×#709 | — | 3 | 2 | no | — |
| 36 | C2×D3×D20 | — | 3 | 2 | no | — |
| 37 | C2×D3×D20 | — | 6 | 1 | no | — |
| 38 | #91797 | — | 3 | 2 | no | — |
| 39 | C5×D3×M16 | — | 3 | 2 | no | — |
| 40 | C3×#4054 | — | 3 | 2 | no | — |
| 41 | #91312 | D3 | 1 | 2 | yes | complemented |
| 42 | #91301 | — | 3 | 2 | no | — |
| 43 | #91254 | — | 3 | 4 | no | — |
| 44 | #91253 | — | 3 | 4 | no | — |
| 45 | D3×D40 | — | 3 | 4 | no | — |
| 46 | D3×#677 | — | 3 | 4 | no | — |
| 47 | C22×C3⋊D15 | — | 2 | 1 | no | — |
| 48 | C22×C5×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 49 | C22×C32×D5 | — | 2 | 1 | no | — |
| 50 | C2×(C3⋊D3)⋊D5 | — | 2 | 1 | no | — |
| 51 | C2×D5×C3⋊D3 | — | 2 | 2 | no | — |
| 52 | C2×D5×C3⋊D3 | — | 2 | 2 | no | — |
| 53 | C2×D5×C3⋊D3 | — | 4 | 4 | no | — |
| 54 | C2×C32×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 55 | C4⋊(C3⋊D15) | — | 2 | 1 | no | — |
| 56 | C4⋊(C3⋊D15) | C23 | 1 | 2 | yes | — |
| 57 | C2×C5×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 58 | C4×C5×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 59 | C4×C5×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 60 | C4×C5×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 61 | C4×C5×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 62 | C3×#1220 | — | 2 | 2 | no | — |
| 63 | C3×D60 | C23 | 1 | 2 | yes | complemented |
| 64 | C3×C4×D15 | — | 2 | 2 | no | — |
| 65 | C3×Dic30 | C23 | 1 | 2 | yes | complemented |
| 66 | C32×D20 | — | 2 | 1 | no | — |
| 67 | C32×D20 | C23 | 1 | 2 | yes | — |
| 68 | #67158 | — | 2 | 1 | no | — |
| 69 | #67157 | — | 2 | 1 | no | — |
| 70 | #67156 | — | 2 | 2 | no | — |
| 71 | #67155 | — | 2 | 1 | no | — |
| 72 | #67154 | — | 2 | 2 | no | — |
| 73 | #67139 | — | 2 | 2 | no | — |
| 74 | #67139 | — | 2 | 2 | no | — |
| 75 | C3×C5×C3⋊C8 | C23 | 1 | 4 | yes | complemented |
| 76 | C2×#4054 | — | 9 | 1 | no | Hall |
| 77 | C2×D4×C3⋊D3 | — | 5 | 1 | no | — |
| 78 | #64306 | — | 5 | 1 | no | — |
| 79 | C3×#932 | — | 5 | 2 | no | — |
| 80 | #63937 | — | 5 | 4 | no | — |
| 81 | #63930 | — | 5 | 2 | no | — |
| 82 | #63926 | — | 5 | 2 | no | — |
| 83 | #63825 | — | 5 | 2 | no | — |
| 84 | #63818 | D5 | 1 | 1 | yes | characteristic, complemented |
| 85 | C22×D3×D5 | — | 6 | 2 | no | — |
| 86 | C22×D3×D5 | — | 6 | 1 | no | — |
| 87 | C22×D3×D5 | — | 6 | 1 | no | — |
| 88 | #6817 | C2×D3 | 1 | 2 | yes | complemented |
| 89 | C2×D60 | — | 3 | 2 | no | — |
| 90 | C2×D60 | — | 6 | 1 | no | — |
| 91 | C2×C4×C5×D3 | — | 3 | 2 | no | — |
| 92 | C2×C4×C5×D3 | — | 6 | 1 | no | — |
| 93 | C3×#709 | — | 3 | 2 | no | — |
| 94 | C2×C3×D20 | — | 2 | 1 | no | — |
| 95 | C2×C3×D20 | C2×D3 | 1 | 2 | yes | complemented |
| 96 | D3×C22⋊D5 | — | 6 | 2 | no | — |
| 97 | C2×#1202 | — | 6 | 2 | no | — |
| 98 | C2×#1202 | — | 6 | 1 | no | — |
| 99 | C2×#1202 | — | 6 | 1 | no | — |
| 100 | #6779 | — | 6 | 2 | no | — |
| 101 | D3×D20 | — | 3 | 2 | no | — |
| 102 | D3×D20 | — | 3 | 4 | no | — |
| 103 | D3×D20 | — | 3 | 4 | no | — |
| 104 | D3×D20 | — | 6 | 2 | no | — |
| 105 | D3×D20 | — | 6 | 2 | no | — |
| 106 | D3×D20 | — | 6 | 1 | no | — |
| 107 | D3×D20 | — | 6 | 1 | no | — |
| 108 | D3×D20 | — | 6 | 1 | no | — |
| 109 | D3×D20 | — | 6 | 1 | no | — |
| 110 | D3×D20 | — | 6 | 2 | no | — |
| 111 | D3×D20 | — | 6 | 2 | no | — |
| 112 | C4×D3×D5 | — | 6 | 2 | no | — |
| 113 | #6771 | — | 6 | 2 | no | — |
| 114 | #6769 | — | 3 | 2 | no | — |
| 115 | D3×Dic10 | — | 3 | 2 | no | — |
| 116 | #6765 | — | 3 | 2 | no | — |
| 117 | C3×C5×M16 | — | 3 | 2 | no | — |
| 118 | D120 | — | 3 | 4 | no | — |
| 119 | #6706 | — | 3 | 4 | no | — |
| 120 | C5×#208 | C2×D3 | 1 | 2 | yes | complemented |
| 121 | C5×ΓL(1,𝔽25) | — | 3 | 4 | no | — |
| 122 | C5×D3×C8 | — | 3 | 4 | no | — |
| 123 | C3×D40 | — | 3 | 4 | no | — |
| 124 | C3×#677 | — | 3 | 4 | no | — |
| 125 | #6658 | — | 3 | 4 | no | — |
| 126 | #6657 | C2×D3 | 1 | 4 | yes | complemented |
| 127 | #6653 | — | 3 | 4 | no | — |
| 128 | #6653 | C2×D3 | 1 | 4 | yes | complemented |
| 129 | D3×AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 130 | C22×C32×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×C3⋊D15 | — | 2 | 2 | no | — |
| 132 | C2×C3⋊D15 | — | 4 | 2 | no | — |
| 133 | C2×C5×C3⋊D3 | — | 2 | 2 | no | — |
| 134 | C2×C5×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C2×C5×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C2×C3×D15 | — | 2 | 2 | no | — |
| 137 | C2×C32×D5 | — | 2 | 2 | no | — |
| 138 | C2×C32×D5 | — | 4 | 2 | no | — |
| 139 | (C3⋊D3)⋊D5 | — | 4 | 2 | no | — |
| 140 | D5×C3⋊D3 | — | 4 | 4 | no | — |
| 141 | D5×C3⋊D3 | — | 4 | 4 | no | — |
| 142 | C32×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | C32×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 144 | C5×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C5×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 146 | C3×Dic15 | — | 2 | 2 | no | — |
| 147 | C2×#709 | — | 9 | 1 | no | — |
| 148 | C22×D20 | — | 9 | 1 | no | — |
| 149 | C2×C5×M16 | — | 9 | 1 | no | — |
| 150 | #4054 | — | 3 | 2 | no | — |
| 151 | #4054 | — | 9 | 4 | no | — |
| 152 | #4054 | — | 9 | 2 | no | — |
| 153 | C2×D40 | — | 9 | 2 | no | — |
| 154 | C2×#677 | — | 9 | 2 | no | — |
| 155 | C23×C3⋊D3 | — | 10 | 1 | no | — |
| 156 | C2×C32×D4 | — | 5 | 1 | no | — |
| 157 | C2×#638 | — | 10 | 1 | no | — |
| 158 | D4×C3⋊D3 | — | 5 | 2 | no | — |
| 159 | D4×C3⋊D3 | — | 5 | 2 | no | — |
| 160 | D4×C3⋊D3 | — | 10 | 1 | no | — |
| 161 | D4×C3⋊D3 | — | 10 | 1 | no | — |
| 162 | C2×C4⋊(C3⋊D3) | — | 5 | 1 | no | — |
| 163 | C2×C4×C3⋊D3 | C2×D5 | 1 | 1 | yes | characteristic |
| 164 | C3×#235 | — | 5 | 2 | no | — |
| 165 | #3811 | — | 10 | 1 | no | — |
| 166 | #3805 | — | 10 | 1 | no | — |
| 167 | #3802 | — | 5 | 1 | no | — |
| 168 | C4×D32 | — | 10 | 1 | no | — |
| 169 | #3798 | — | 10 | 1 | no | — |
| 170 | #3797 | — | 5 | 1 | no | — |
| 171 | #3796 | — | 5 | 2 | no | — |
| 172 | C3×#214 | — | 5 | 4 | no | — |
| 173 | C3×#213 | — | 5 | 4 | no | — |
| 174 | C3×#208 | C2×D5 | 1 | 2 | yes | complemented |
| 175 | #3717 | — | 5 | 4 | no | — |
| 176 | #3714 | — | 5 | 4 | no | — |
| 177 | #3712 | C2×D5 | 1 | 2 | yes | complemented |
| 178 | #3710 | C2×D5 | 1 | 2 | yes | complemented |
| 179 | C22×D15 | — | 6 | 1 | no | — |
| 180 | C22×D15 | — | 6 | 1 | no | — |
| 181 | C22×D15 | — | 6 | 2 | no | — |
| 182 | C22×C5×D3 | — | 3 | 2 | no | — |
| 183 | C22×C5×D3 | — | 6 | 1 | no | — |
| 184 | C22×C3×D5 | — | 2 | 1 | no | — |
| 185 | C22×C3×D5 | — | 2 | 1 | no | — |
| 186 | C22×C3×D5 | — | 2 | 2 | no | — |
| 187 | C2×D3×D5 | — | 6 | 4 | no | — |
| 188 | C2×D3×D5 | — | 6 | 4 | no | — |
| 189 | C2×D3×D5 | — | 6 | 2 | no | — |
| 190 | C2×D3×D5 | — | 6 | 2 | no | — |
| 191 | C2×D3×D5 | — | 6 | 2 | no | — |
| 192 | C2×D3×D5 | — | 6 | 2 | no | — |
| 193 | C2×D3×D5 | — | 6 | 2 | no | — |
| 194 | C2×D3×D5 | — | 12 | 8 | no | — |
| 195 | C2×D3×D5 | — | 12 | 4 | no | — |
| 196 | C2×D3×D5 | — | 12 | 4 | no | — |
| 197 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 198 | C2×C3×C4×C5 | C22×D3 | 1 | 2 | yes | — |
| 199 | #1220 | — | 2 | 2 | no | — |
| 200 | D60 | — | 3 | 4 | no | — |
| 201 | D60 | — | 6 | 1 | no | — |
| 202 | D60 | — | 6 | 1 | no | — |
| 203 | D60 | — | 6 | 2 | no | — |
| 204 | D60 | — | 6 | 2 | no | — |
| 205 | D60 | C22×D3 | 1 | 2 | yes | complemented |
| 206 | C4×D15 | — | 2 | 2 | no | — |
| 207 | Dic30 | C22×D3 | 1 | 2 | yes | complemented |
| 208 | C2×C5×Dic3 | — | 3 | 2 | no | — |
| 209 | C2×C5×Dic3 | — | 6 | 1 | no | — |
| 210 | C4×C5×D3 | — | 3 | 2 | no | — |
| 211 | C4×C5×D3 | — | 3 | 2 | no | — |
| 212 | C4×C5×D3 | — | 3 | 2 | no | — |
| 213 | C4×C5×D3 | — | 3 | 2 | no | — |
| 214 | C4×C5×D3 | — | 6 | 1 | no | — |
| 215 | C4×C5×D3 | — | 6 | 1 | no | — |
| 216 | C4×C5×D3 | — | 6 | 1 | no | — |
| 217 | C4×C5×D3 | — | 6 | 1 | no | — |
| 218 | C3×C22⋊D5 | — | 6 | 2 | no | — |
| 219 | C3×D20 | — | 2 | 1 | no | — |
| 220 | C3×D20 | — | 2 | 1 | no | — |
| 221 | C3×D20 | — | 2 | 2 | no | — |
| 222 | C3×D20 | — | 2 | 2 | no | — |
| 223 | C3×D20 | — | 3 | 2 | no | — |
| 224 | C3×D20 | C22×D3 | 1 | 4 | yes | — |
| 225 | C3×C4×D5 | — | 6 | 2 | no | — |
| 226 | C3×Dic10 | — | 3 | 2 | no | — |
| 227 | #1204 | — | 6 | 2 | no | — |
| 228 | #1203 | — | 6 | 2 | no | — |
| 229 | #1202 | — | 6 | 4 | no | — |
| 230 | #1202 | — | 6 | 4 | no | — |
| 231 | #1202 | — | 6 | 2 | no | — |
| 232 | #1202 | — | 6 | 2 | no | — |
| 233 | #1202 | — | 6 | 2 | no | — |
| 234 | #1202 | — | 6 | 2 | no | — |
| 235 | #1202 | — | 6 | 2 | no | — |
| 236 | #1201 | — | 6 | 2 | no | — |
| 237 | #1200 | — | 6 | 2 | no | — |
| 238 | D3×Dic5 | — | 6 | 2 | no | — |
| 239 | D5×Dic3 | — | 6 | 2 | no | — |
| 240 | C3×C5×C8 | — | 3 | 4 | no | — |
| 241 | C5×C3⋊C8 | C22×D3 | 1 | 4 | yes | complemented |
| 242 | D3×#41 | — | 15 | 2 | no | — |
| 243 | C2×D3×D4 | — | 15 | 2 | no | — |
| 244 | C2×D3×D4 | — | 30 | 1 | no | — |
| 245 | C3×AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 246 | #949 | — | 15 | 2 | no | — |
| 247 | #932 | — | 5 | 2 | no | — |
| 248 | #914 | — | 15 | 4 | no | — |
| 249 | D3×SD16 | — | 15 | 4 | no | — |
| 250 | #911 | — | 15 | 4 | no | — |
| 251 | D3×D8 | — | 15 | 4 | no | — |
| 252 | #908 | — | 15 | 2 | no | — |
| 253 | D3×M16 | — | 3 | 2 | no | — |
| 254 | C2×C32×C5 | — | 2 | 1 | no | — |
| 255 | C2×C32×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 256 | C3⋊D15 | — | 4 | 2 | no | — |
| 257 | C5×C3⋊D3 | — | 2 | 1 | no | — |
| 258 | C5×C3⋊D3 | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 259 | C3×D15 | — | 4 | 2 | no | — |
| 260 | C32×D5 | — | 4 | 2 | no | — |
| 261 | C23×D5 | — | 18 | 1 | no | — |
| 262 | C22×C4×C5 | — | 9 | 1 | no | — |
| 263 | C2×C22⋊D5 | — | 18 | 1 | no | — |
| 264 | #709 | — | 3 | 2 | no | — |
| 265 | #709 | — | 9 | 2 | no | — |
| 266 | #709 | — | 18 | 1 | no | — |
| 267 | #709 | — | 18 | 1 | no | — |
| 268 | C2×D20 | — | 9 | 1 | no | — |
| 269 | C2×D20 | — | 9 | 1 | no | — |
| 270 | C2×D20 | — | 9 | 2 | no | — |
| 271 | C2×D20 | — | 9 | 2 | no | — |
| 272 | C2×D20 | — | 18 | 1 | no | — |
| 273 | C2×D20 | — | 18 | 1 | no | — |
| 274 | C2×D20 | — | 18 | 1 | no | — |
| 275 | C2×D20 | D32 | 1 | 1 | yes | characteristic, complemented |
| 276 | C2×C4×D5 | — | 18 | 1 | no | — |
| 277 | C2×Dic10 | — | 9 | 1 | no | — |
| 278 | C5×M16 | — | 3 | 2 | no | — |
| 279 | C5×M16 | — | 9 | 2 | no | — |
| 280 | C2×C5×C8 | — | 9 | 2 | no | — |
| 281 | D40 | — | 3 | 4 | no | — |
| 282 | D40 | — | 9 | 4 | no | — |
| 283 | #677 | — | 3 | 4 | no | — |
| 284 | #677 | — | 9 | 4 | no | — |
| 285 | C23×C32 | — | 10 | 1 | no | — |
| 286 | C22×C3⋊D3 | — | 10 | 1 | no | — |
| 287 | C22×C3⋊D3 | — | 10 | 2 | no | — |
| 288 | C22×C3⋊D3 | — | 10 | 2 | no | — |
| 289 | C22×C3⋊D3 | — | 20 | 4 | no | — |
| 290 | C22×C3⋊D3 | D20 | 1 | 1 | yes | characteristic |
| 291 | C2×D32 | — | 10 | 1 | no | — |
| 292 | C32×D4 | — | 5 | 2 | no | — |
| 293 | C32×D4 | — | 10 | 1 | no | — |
| 294 | C2×C32×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 295 | #638 | — | 10 | 2 | no | — |
| 296 | #638 | — | 10 | 2 | no | — |
| 297 | C2×C3⋊Dic3 | D20 | 1 | 1 | yes | characteristic |
| 298 | C4⋊(C3⋊D3) | — | 5 | 2 | no | — |
| 299 | C4⋊(C3⋊D3) | — | 10 | 1 | no | — |
| 300 | C4×C3⋊D3 | D20 | 1 | 1 | yes | characteristic |
| 301 | C4×C3⋊D3 | D20 | 1 | 1 | yes | characteristic |
| 302 | C4×C3⋊D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 303 | C4×C3⋊D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 304 | C3×#67 | — | 10 | 2 | no | — |
| 305 | C3×D12 | — | 5 | 2 | no | — |
| 306 | C3×C4×D3 | — | 10 | 2 | no | — |
| 307 | C3×Dic6 | — | 5 | 2 | no | — |
| 308 | #627 | — | 10 | 1 | no | — |
| 309 | #626 | — | 10 | 2 | no | — |
| 310 | #625 | — | 10 | 1 | no | — |
| 311 | #624 | — | 10 | 1 | no | — |
| 312 | D3×Dic3 | — | 10 | 2 | no | — |
| 313 | C3×C3⋊C8 | C22×D5 | 1 | 4 | yes | complemented |
| 314 | C2×AGL(1,ℤ/8) | — | 45 | 1 | no | Sylow |
| 315 | C22×C3×C5 | — | 2 | 1 | no | — |
| 316 | C22×C3×C5 | D3×D4 | 1 | 2 | yes | — |
| 317 | C2×D15 | — | 2 | 2 | no | — |
| 318 | C2×D15 | — | 6 | 2 | no | — |
| 319 | C2×D15 | — | 6 | 2 | no | — |
| 320 | C2×D15 | — | 6 | 4 | no | — |
| 321 | C2×D15 | — | 12 | 2 | no | — |
| 322 | C2×D15 | — | 12 | 2 | no | — |
| 323 | C2×D15 | — | 12 | 4 | no | — |
| 324 | C2×C5×D3 | — | 3 | 2 | no | — |
| 325 | C2×C5×D3 | — | 3 | 2 | no | — |
| 326 | C2×C5×D3 | — | 6 | 1 | no | — |
| 327 | C2×C5×D3 | — | 6 | 1 | no | — |
| 328 | C2×C5×D3 | — | 6 | 4 | no | — |
| 329 | C2×C5×D3 | — | 6 | 2 | no | — |
| 330 | C2×C5×D3 | — | 6 | 2 | no | — |
| 331 | C2×C3×D5 | — | 2 | 2 | no | — |
| 332 | C2×C3×D5 | — | 2 | 2 | no | — |
| 333 | C2×C3×D5 | — | 2 | 4 | no | — |
| 334 | C2×C3×D5 | — | 4 | 2 | no | — |
| 335 | C2×C3×D5 | — | 4 | 2 | no | — |
| 336 | C2×C3×D5 | — | 4 | 4 | no | — |
| 337 | C2×C3×D5 | — | 6 | 2 | no | — |
| 338 | D3×D5 | — | 12 | 8 | no | — |
| 339 | D3×D5 | — | 12 | 4 | no | — |
| 340 | D3×D5 | — | 12 | 4 | no | — |
| 341 | D3×D5 | — | 12 | 4 | no | — |
| 342 | D3×D5 | — | 12 | 4 | no | — |
| 343 | D3×D5 | — | 12 | 4 | no | — |
| 344 | D3×D5 | — | 12 | 8 | no | — |
| 345 | C3×C4×C5 | — | 2 | 1 | no | — |
| 346 | C3×C4×C5 | — | 2 | 1 | no | — |
| 347 | C3×C4×C5 | D3×D4 | 1 | 2 | yes | — |
| 348 | C3×C4×C5 | C23×D3 | 1 | 2 | yes | — |
| 349 | Dic15 | — | 2 | 2 | no | — |
| 350 | C3×Dic5 | — | 6 | 2 | no | — |
| 351 | C5×Dic3 | — | 3 | 2 | no | — |
| 352 | C5×Dic3 | — | 3 | 2 | no | — |
| 353 | C5×Dic3 | — | 6 | 1 | no | — |
| 354 | C5×Dic3 | — | 6 | 1 | no | — |
| 355 | C23×D3 | — | 30 | 2 | no | — |
| 356 | C23×D3 | — | 30 | 1 | no | — |
| 357 | C23×D3 | — | 30 | 1 | no | — |
| 358 | C3×#41 | — | 15 | 2 | no | — |
| 359 | C2×C3×D4 | — | 5 | 2 | no | — |
| 360 | C2×C3×D4 | — | 10 | 1 | no | — |
| 361 | C2×#67 | — | 30 | 2 | no | — |
| 362 | C2×#67 | — | 30 | 1 | no | — |
| 363 | C2×#67 | — | 30 | 1 | no | — |
| 364 | #239 | — | 15 | 2 | no | — |
| 365 | D3×Q8 | — | 15 | 2 | no | — |
| 366 | #237 | — | 15 | 2 | no | — |
| 367 | #237 | — | 30 | 2 | no | — |
| 368 | D3×D4 | — | 15 | 2 | no | — |
| 369 | D3×D4 | — | 15 | 4 | no | — |
| 370 | D3×D4 | — | 15 | 4 | no | — |
| 371 | D3×D4 | — | 30 | 2 | no | — |
| 372 | D3×D4 | — | 30 | 2 | no | — |
| 373 | D3×D4 | — | 30 | 2 | no | — |
| 374 | D3×D4 | — | 30 | 2 | no | — |
| 375 | D3×D4 | — | 30 | 1 | no | — |
| 376 | D3×D4 | — | 30 | 1 | no | — |
| 377 | D3×D4 | — | 30 | 1 | no | — |
| 378 | D3×D4 | — | 30 | 1 | no | — |
| 379 | D3×D4 | — | 30 | 2 | no | — |
| 380 | #235 | — | 5 | 2 | no | — |
| 381 | #235 | — | 30 | 2 | no | — |
| 382 | C2×D12 | — | 15 | 2 | no | — |
| 383 | C2×D12 | — | 30 | 1 | no | — |
| 384 | C2×C4×D3 | — | 3 | 2 | no | — |
| 385 | C2×C4×D3 | — | 6 | 1 | no | — |
| 386 | C2×C4×D3 | — | 30 | 2 | no | — |
| 387 | C3×SD16 | — | 15 | 4 | no | — |
| 388 | C3×D8 | — | 15 | 4 | no | — |
| 389 | C3×M16 | — | 3 | 2 | no | — |
| 390 | #215 | — | 15 | 4 | no | — |
| 391 | #214 | — | 5 | 4 | no | — |
| 392 | #213 | — | 5 | 4 | no | — |
| 393 | #213 | — | 15 | 4 | no | — |
| 394 | #208 | D3×D5 | 1 | 2 | yes | complemented |
| 395 | D24 | — | 15 | 4 | no | — |
| 396 | #204 | — | 15 | 4 | no | — |
| 397 | ΓL(1,𝔽25) | — | 3 | 4 | no | — |
| 398 | D3×C8 | — | 3 | 4 | no | — |
| 399 | C32×C5 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented, Hall |
| 400 | C23×C5 | — | 9 | 1 | no | — |
| 401 | C22×D5 | — | 2 | 1 | no | — |
| 402 | C22×D5 | — | 18 | 2 | no | — |
| 403 | C22×D5 | — | 18 | 2 | no | — |
| 404 | C22×D5 | — | 18 | 1 | no | — |
| 405 | C22×D5 | — | 18 | 1 | no | — |
| 406 | C22×D5 | — | 36 | 4 | no | — |
| 407 | C2×C4×C5 | — | 9 | 1 | no | — |
| 408 | C2×C4×C5 | — | 9 | 1 | no | — |
| 409 | C2×C4×C5 | — | 9 | 1 | no | — |
| 410 | C2×C4×C5 | — | 9 | 1 | no | — |
| 411 | C2×C4×C5 | — | 9 | 1 | no | — |
| 412 | C2×C4×C5 | C2×D32 | 1 | 1 | yes | characteristic |
| 413 | C22⋊D5 | — | 6 | 2 | no | — |
| 414 | C22⋊D5 | — | 18 | 2 | no | — |
| 415 | C2×Dic5 | — | 18 | 1 | no | — |
| 416 | D20 | — | 2 | 1 | no | — |
| 417 | D20 | — | 3 | 2 | no | — |
| 418 | D20 | — | 9 | 2 | no | — |
| 419 | D20 | — | 18 | 2 | no | — |
| 420 | D20 | — | 18 | 2 | no | — |
| 421 | D20 | — | 18 | 1 | no | — |
| 422 | D20 | — | 18 | 1 | no | — |
| 423 | D20 | C2×D32 | 1 | 2 | yes | — |
| 424 | C4×D5 | — | 6 | 2 | no | — |
| 425 | C4×D5 | — | 18 | 2 | no | — |
| 426 | Dic10 | — | 3 | 2 | no | — |
| 427 | Dic10 | — | 18 | 1 | no | — |
| 428 | C5×C8 | — | 3 | 4 | no | — |
| 429 | C22×C32 | — | 10 | 2 | no | — |
| 430 | C22×C32 | — | 20 | 2 | no | — |
| 431 | C22×C32 | C2×D20 | 1 | 1 | yes | characteristic |
| 432 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 433 | C2×C3⋊D3 | — | 10 | 2 | no | — |
| 434 | C2×C3⋊D3 | — | 20 | 4 | no | — |
| 435 | C2×C3⋊D3 | — | 20 | 2 | no | — |
| 436 | C2×C3⋊D3 | — | 20 | 4 | no | — |
| 437 | C2×C3⋊D3 | C2×D20 | 1 | 1 | yes | characteristic |
| 438 | C2×C3⋊D3 | C2×D20 | 1 | 1 | yes | characteristic |
| 439 | C2×C3×D3 | — | 10 | 2 | no | — |
| 440 | D32 | — | 20 | 2 | no | — |
| 441 | C32×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 442 | C32×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 443 | C3⋊Dic3 | C2×D20 | 1 | 1 | yes | characteristic |
| 444 | C3⋊Dic3 | C2×D20 | 1 | 1 | yes | characteristic |
| 445 | C3×Dic3 | — | 10 | 2 | no | — |
| 446 | C2×#41 | — | 45 | 1 | no | — |
| 447 | C22×D4 | — | 45 | 1 | no | — |
| 448 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 449 | AGL(1,ℤ/8) | — | 45 | 2 | no | — |
| 450 | AGL(1,ℤ/8) | — | 45 | 4 | no | — |
| 451 | C2×SD16 | — | 45 | 2 | no | — |
| 452 | C2×D8 | — | 45 | 2 | no | — |
| 453 | C2×M16 | — | 9 | 1 | no | — |
| 454 | C2×C3×C5 | — | 2 | 1 | no | — |
| 455 | C2×C3×C5 | — | 2 | 1 | no | — |
| 456 | C2×C3×C5 | — | 2 | 2 | no | — |
| 457 | C2×C3×C5 | — | 2 | 1 | no | — |
| 458 | C2×C3×C5 | C2×D3×D4 | 1 | 2 | yes | — |
| 459 | D15 | — | 4 | 2 | no | — |
| 460 | D15 | — | 12 | 2 | no | — |
| 461 | D15 | — | 12 | 2 | no | — |
| 462 | D15 | — | 12 | 4 | no | — |
| 463 | C3×D5 | — | 4 | 2 | no | — |
| 464 | C3×D5 | — | 4 | 2 | no | — |
| 465 | C3×D5 | — | 4 | 4 | no | — |
| 466 | C3×D5 | — | 12 | 2 | no | — |
| 467 | C5×D3 | — | 3 | 4 | no | — |
| 468 | C5×D3 | — | 6 | 2 | no | — |
| 469 | C5×D3 | — | 6 | 1 | no | — |
| 470 | C5×D3 | — | 6 | 1 | no | — |
| 471 | C5×D3 | — | 6 | 2 | no | — |
| 472 | C23×C3 | — | 10 | 1 | no | — |
| 473 | C23×C3 | — | 10 | 1 | no | — |
| 474 | C23×C3 | — | 10 | 2 | no | — |
| 475 | C22×D3 | — | 3 | 2 | no | — |
| 476 | C22×D3 | — | 6 | 1 | no | — |
| 477 | C22×D3 | — | 30 | 2 | no | — |
| 478 | C22×D3 | — | 30 | 4 | no | — |
| 479 | C22×D3 | — | 30 | 4 | no | — |
| 480 | C22×D3 | — | 30 | 2 | no | — |
| 481 | C22×D3 | — | 30 | 2 | no | — |
| 482 | C22×D3 | — | 30 | 2 | no | — |
| 483 | C22×D3 | — | 30 | 2 | no | — |
| 484 | C22×D3 | — | 30 | 1 | no | — |
| 485 | C22×D3 | — | 30 | 1 | no | — |
| 486 | C22×D3 | — | 30 | 2 | no | — |
| 487 | C22×D3 | — | 60 | 8 | no | — |
| 488 | C22×D3 | — | 60 | 4 | no | — |
| 489 | C22×D3 | — | 60 | 4 | no | — |
| 490 | C3×Q8 | — | 15 | 2 | no | — |
| 491 | C3×D4 | — | 5 | 4 | no | — |
| 492 | C3×D4 | — | 10 | 2 | no | — |
| 493 | C3×D4 | — | 10 | 1 | no | — |
| 494 | C3×D4 | — | 10 | 1 | no | — |
| 495 | C3×D4 | — | 10 | 2 | no | — |
| 496 | C3×D4 | — | 15 | 2 | no | — |
| 497 | C3×D4 | — | 30 | 2 | no | — |
| 498 | C2×C3×C4 | — | 2 | 1 | no | — |
| 499 | C2×C3×C4 | — | 30 | 2 | no | — |
| 500 | C2×C3×C4 | C2×D3×D5 | 1 | 2 | yes | — |
| 501 | #67 | — | 10 | 2 | no | — |
| 502 | #67 | — | 30 | 2 | no | — |
| 503 | #67 | — | 30 | 4 | no | — |
| 504 | #67 | — | 30 | 4 | no | — |
| 505 | #67 | — | 30 | 2 | no | — |
| 506 | #67 | — | 30 | 2 | no | — |
| 507 | #67 | — | 30 | 2 | no | — |
| 508 | #67 | — | 30 | 2 | no | — |
| 509 | #67 | — | 30 | 2 | no | — |
| 510 | C2×Dic3 | — | 3 | 2 | no | — |
| 511 | C2×Dic3 | — | 6 | 1 | no | — |
| 512 | C2×Dic3 | — | 30 | 2 | no | — |
| 513 | D12 | — | 5 | 2 | no | — |
| 514 | D12 | — | 15 | 4 | no | — |
| 515 | D12 | — | 30 | 2 | no | — |
| 516 | D12 | — | 30 | 1 | no | — |
| 517 | D12 | — | 30 | 1 | no | — |
| 518 | D12 | — | 30 | 2 | no | — |
| 519 | D12 | — | 30 | 2 | no | — |
| 520 | C4×D3 | — | 3 | 2 | no | — |
| 521 | C4×D3 | — | 3 | 2 | no | — |
| 522 | C4×D3 | — | 3 | 2 | no | — |
| 523 | C4×D3 | — | 3 | 2 | no | — |
| 524 | C4×D3 | — | 6 | 1 | no | — |
| 525 | C4×D3 | — | 6 | 1 | no | — |
| 526 | C4×D3 | — | 6 | 1 | no | — |
| 527 | C4×D3 | — | 6 | 1 | no | — |
| 528 | C4×D3 | — | 10 | 2 | no | — |
| 529 | C4×D3 | — | 30 | 2 | no | — |
| 530 | C4×D3 | — | 30 | 2 | no | — |
| 531 | Dic6 | — | 5 | 2 | no | — |
| 532 | Dic6 | — | 30 | 2 | no | — |
| 533 | C3×C8 | — | 3 | 4 | no | — |
| 534 | C3⋊C8 | C2×D3×D5 | 1 | 4 | yes | complemented |
| 535 | C22×C5 | — | 9 | 1 | no | — |
| 536 | C22×C5 | — | 9 | 1 | no | — |
| 537 | C22×C5 | — | 18 | 2 | no | — |
| 538 | C22×C5 | #3811 | 1 | 1 | yes | characteristic |
| 539 | C2×D5 | — | 2 | 2 | no | — |
| 540 | C2×D5 | — | 4 | 2 | no | — |
| 541 | C2×D5 | — | 6 | 2 | no | — |
| 542 | C2×D5 | — | 18 | 2 | no | — |
| 543 | C2×D5 | — | 36 | 4 | no | — |
| 544 | C2×D5 | — | 36 | 4 | no | — |
| 545 | C2×D5 | — | 36 | 2 | no | — |
| 546 | C2×D5 | — | 36 | 2 | no | — |
| 547 | C4×C5 | — | 9 | 1 | no | — |
| 548 | C4×C5 | — | 9 | 1 | no | — |
| 549 | C4×C5 | #3811 | 1 | 1 | yes | characteristic |
| 550 | C4×C5 | C22×D32 | 1 | 1 | yes | characteristic |
| 551 | Dic5 | — | 6 | 2 | no | — |
| 552 | C2×C32 | — | 2 | 1 | no | — |
| 553 | C2×C32 | — | 20 | 2 | no | — |
| 554 | C2×C32 | C22×D20 | 1 | 1 | yes | characteristic |
| 555 | C3⋊D3 | — | 2 | 1 | no | — |
| 556 | C3⋊D3 | — | 20 | 2 | no | — |
| 557 | C3⋊D3 | #4054 | 1 | 2 | yes | complemented |
| 558 | C3×D3 | — | 20 | 2 | no | — |
| 559 | C24 | — | 90 | 1 | no | — |
| 560 | #41 | — | 15 | 2 | no | — |
| 561 | #41 | — | 45 | 2 | no | — |
| 562 | #41 | — | 90 | 1 | no | — |
| 563 | #41 | — | 90 | 1 | no | — |
| 564 | C2×Q8 | — | 45 | 1 | no | — |
| 565 | C2×D4 | — | 5 | 1 | no | — |
| 566 | C2×D4 | — | 45 | 2 | no | — |
| 567 | C2×D4 | — | 45 | 2 | no | — |
| 568 | C2×D4 | — | 45 | 1 | no | — |
| 569 | C2×D4 | — | 45 | 1 | no | — |
| 570 | C2×D4 | — | 90 | 1 | no | — |
| 571 | C2×D4 | — | 90 | 1 | no | — |
| 572 | C2×D4 | — | 90 | 1 | no | — |
| 573 | C2×D4 | — | 90 | 1 | no | — |
| 574 | C22×C4 | — | 9 | 1 | no | — |
| 575 | C22×C4 | — | 90 | 1 | no | — |
| 576 | SD16 | — | 15 | 4 | no | — |
| 577 | SD16 | — | 45 | 4 | no | — |
| 578 | D8 | — | 15 | 4 | no | — |
| 579 | D8 | — | 45 | 4 | no | — |
| 580 | M16 | — | 3 | 2 | no | — |
| 581 | M16 | — | 9 | 2 | no | — |
| 582 | C2×C8 | — | 9 | 2 | no | — |
| 583 | C3×C5 | — | 2 | 1 | no | — |
| 584 | C3×C5 | D3×AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 585 | C22×C3 | — | 2 | 1 | no | — |
| 586 | C22×C3 | — | 10 | 2 | no | — |
| 587 | C22×C3 | — | 10 | 2 | no | — |
| 588 | C22×C3 | — | 10 | 4 | no | — |
| 589 | C22×C3 | — | 20 | 2 | no | — |
| 590 | C22×C3 | — | 20 | 2 | no | — |
| 591 | C22×C3 | — | 20 | 4 | no | — |
| 592 | C22×C3 | — | 30 | 2 | no | — |
| 593 | C22×C3 | D3×D20 | 1 | 2 | yes | — |
| 594 | C2×D3 | — | 3 | 2 | no | — |
| 595 | C2×D3 | — | 3 | 2 | no | — |
| 596 | C2×D3 | — | 6 | 1 | no | — |
| 597 | C2×D3 | — | 6 | 1 | no | — |
| 598 | C2×D3 | — | 6 | 4 | no | — |
| 599 | C2×D3 | — | 6 | 2 | no | — |
| 600 | C2×D3 | — | 6 | 2 | no | — |
| 601 | C2×D3 | — | 10 | 2 | no | — |
| 602 | C2×D3 | — | 30 | 2 | no | — |
| 603 | C2×D3 | — | 30 | 2 | no | — |
| 604 | C2×D3 | — | 30 | 4 | no | — |
| 605 | C2×D3 | — | 60 | 4 | no | — |
| 606 | C2×D3 | — | 60 | 8 | no | — |
| 607 | C2×D3 | — | 60 | 4 | no | — |
| 608 | C2×D3 | — | 60 | 4 | no | — |
| 609 | C2×D3 | — | 60 | 4 | no | — |
| 610 | C2×D3 | — | 60 | 4 | no | — |
| 611 | C2×D3 | — | 60 | 8 | no | — |
| 612 | C2×D3 | — | 60 | 2 | no | — |
| 613 | C2×D3 | — | 60 | 2 | no | — |
| 614 | C2×D3 | — | 60 | 4 | no | — |
| 615 | C3×C4 | — | 2 | 1 | no | — |
| 616 | C3×C4 | — | 2 | 1 | no | — |
| 617 | C3×C4 | — | 30 | 2 | no | — |
| 618 | C3×C4 | D3×D20 | 1 | 2 | yes | — |
| 619 | C3×C4 | C22×D3×D5 | 1 | 2 | yes | — |
| 620 | Dic3 | — | 3 | 2 | no | — |
| 621 | Dic3 | — | 3 | 2 | no | — |
| 622 | Dic3 | — | 6 | 1 | no | — |
| 623 | Dic3 | — | 6 | 1 | no | — |
| 624 | Dic3 | — | 10 | 2 | no | — |
| 625 | C2×C5 | — | 2 | 1 | no | — |
| 626 | C2×C5 | — | 9 | 2 | no | — |
| 627 | C2×C5 | — | 18 | 1 | no | — |
| 628 | C2×C5 | C2×#3811 | 1 | 1 | yes | characteristic |
| 629 | D5 | — | 4 | 2 | no | — |
| 630 | D5 | — | 12 | 2 | no | — |
| 631 | D5 | — | 36 | 2 | no | — |
| 632 | C32 | C2×#4054 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 633 | C23 | — | 9 | 1 | no | — |
| 634 | C23 | — | 10 | 1 | no | — |
| 635 | C23 | — | 90 | 2 | no | — |
| 636 | C23 | — | 90 | 2 | no | — |
| 637 | C23 | — | 90 | 1 | no | — |
| 638 | C23 | — | 90 | 1 | no | — |
| 639 | C23 | — | 180 | 4 | no | — |
| 640 | Q8 | — | 15 | 2 | no | — |
| 641 | Q8 | — | 90 | 1 | no | — |
| 642 | D4 | — | 5 | 2 | no | — |
| 643 | D4 | — | 10 | 1 | no | — |
| 644 | D4 | — | 15 | 2 | no | — |
| 645 | D4 | — | 30 | 2 | no | — |
| 646 | D4 | — | 45 | 2 | no | — |
| 647 | D4 | — | 90 | 2 | no | — |
| 648 | D4 | — | 90 | 2 | no | — |
| 649 | D4 | — | 90 | 1 | no | — |
| 650 | D4 | — | 90 | 2 | no | — |
| 651 | D4 | — | 90 | 1 | no | — |
| 652 | C2×C4 | — | 9 | 1 | no | — |
| 653 | C2×C4 | — | 9 | 1 | no | — |
| 654 | C2×C4 | — | 9 | 1 | no | — |
| 655 | C2×C4 | — | 9 | 1 | no | — |
| 656 | C2×C4 | — | 9 | 1 | no | — |
| 657 | C2×C4 | — | 30 | 2 | no | — |
| 658 | C2×C4 | — | 90 | 2 | no | — |
| 659 | C2×C4 | — | 90 | 1 | no | — |
| 660 | C2×C4 | D32×D5 | 1 | 1 | yes | characteristic |
| 661 | C8 | — | 3 | 4 | no | — |
| 662 | C2×C3 | — | 2 | 1 | no | — |
| 663 | C2×C3 | — | 2 | 1 | no | — |
| 664 | C2×C3 | — | 2 | 2 | no | — |
| 665 | C2×C3 | — | 2 | 1 | no | — |
| 666 | C2×C3 | — | 20 | 2 | no | — |
| 667 | C2×C3 | — | 20 | 2 | no | — |
| 668 | C2×C3 | — | 20 | 4 | no | — |
| 669 | C2×C3 | — | 60 | 2 | no | — |
| 670 | C2×C3 | C2×D3×D20 | 1 | 2 | yes | — |
| 671 | D3 | — | 3 | 4 | no | — |
| 672 | D3 | — | 6 | 2 | no | — |
| 673 | D3 | — | 6 | 1 | no | — |
| 674 | D3 | — | 6 | 1 | no | — |
| 675 | D3 | — | 6 | 2 | no | — |
| 676 | D3 | — | 20 | 2 | no | — |
| 677 | D3 | — | 60 | 2 | no | — |
| 678 | D3 | — | 60 | 2 | no | — |
| 679 | D3 | — | 60 | 4 | no | — |
| 680 | C5 | #10595100 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 681 | C22 | — | 9 | 1 | no | — |
| 682 | C22 | — | 9 | 1 | no | — |
| 683 | C22 | — | 10 | 2 | no | — |
| 684 | C22 | — | 18 | 2 | no | — |
| 685 | C22 | — | 20 | 2 | no | — |
| 686 | C22 | — | 30 | 2 | no | — |
| 687 | C22 | — | 90 | 2 | no | — |
| 688 | C22 | — | 180 | 2 | no | — |
| 689 | C22 | — | 180 | 4 | no | — |
| 690 | C22 | — | 180 | 2 | no | — |
| 691 | C22 | — | 180 | 4 | no | — |
| 692 | C22 | #10624031 | 1 | 1 | yes | characteristic |
| 693 | C4 | — | 9 | 1 | no | — |
| 694 | C4 | — | 9 | 1 | no | — |
| 695 | C4 | — | 30 | 2 | no | — |
| 696 | C4 | #10624031 | 1 | 1 | yes | characteristic |
| 697 | C4 | C2×D32×D5 | 1 | 1 | yes | characteristic |
| 698 | C3 | — | 2 | 1 | no | — |
| 699 | C3 | D3×#4054 | 1 | 2 | yes | complemented |
| 700 | C2 | — | 2 | 1 | no | — |
| 701 | C2 | — | 9 | 2 | no | — |
| 702 | C2 | — | 18 | 1 | no | — |
| 703 | C2 | — | 20 | 2 | no | — |
| 704 | C2 | — | 60 | 2 | no | — |
| 705 | C2 | — | 180 | 2 | no | — |
| 706 | C2 | C2×#10624031 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13089409 | C2 | semidirect |
| 2. C2×C3⋊D3×D20 | C2 | semidirect |
| 3. #13087365 | C2 | semidirect |
| 4. C5×#63818 | C2 | semidirect |
| 5. C3×#91312 | C2 | semidirect |
| 6. #13085790 | C2 | semidirect |
| 7. #13085695 | C2 | semidirect |
| 8. #13085675 | C2 | semidirect |
| 11. C2×C4⋊(C3⋊D15) | C22 | semidirect |
| 13. C3×#6817 | C22 | semidirect |
| 14. C2×C32×D20 | C22 | semidirect |
| 17. #10624227 | C22 | semidirect |
| 20. #10624222 | C22 | semidirect |
| 21. #10624220 | C22 | semidirect |
| 26. C3⋊D3×D20 | C22 | semidirect |
| 27. C3×C5×#208 | C22 | semidirect |
| 28. #10623804 | C22 | semidirect |
| 29. #10623799 | C22 | semidirect |
| 30. C5×#3712 | C22 | semidirect |
| 31. C5×#3710 | C22 | semidirect |
| 32. C3×#6657 | C22 | semidirect |
| 33. C3×#6653 | C22 | semidirect |
| 41. #91312 | D3 | semidirect |
| 63. C3×D60 | C23 | semidirect |
| 65. C3×Dic30 | C23 | semidirect |
| 75. C3×C5×C3⋊C8 | C23 | semidirect |
| 84. #63818 | D5 | semidirect |
| 88. #6817 | C2×D3 | semidirect |
| 95. C2×C3×D20 | C2×D3 | semidirect |
| 120. C5×#208 | C2×D3 | semidirect |
| 126. #6657 | C2×D3 | semidirect |
| 128. #6653 | C2×D3 | semidirect |
| 174. C3×#208 | C2×D5 | semidirect |
| 177. #3712 | C2×D5 | semidirect |
| 178. #3710 | C2×D5 | semidirect |
| 205. D60 | C22×D3 | semidirect |
| 207. Dic30 | C22×D3 | semidirect |
| 241. C5×C3⋊C8 | C22×D3 | semidirect |
| 258. C5×C3⋊D3 | AGL(1,ℤ/8) | semidirect |
| 275. C2×D20 | D32 | semidirect |
| 313. C3×C3⋊C8 | C22×D5 | semidirect |
| 394. #208 | D3×D5 | semidirect |
| 399. C32×C5 | C2×AGL(1,ℤ/8) | semidirect |
| 534. C3⋊C8 | C2×D3×D5 | semidirect |
| 557. C3⋊D3 | #4054 | semidirect |
| 584. C3×C5 | D3×AGL(1,ℤ/8) | semidirect |
| 632. C32 | C2×#4054 | semidirect |
| 680. C5 | #10595100 | semidirect |
| 699. C3 | D3×#4054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13089409 | 2 |
| C2×C3⋊D3×D20 | 2 |
| #13087365 | 2 |
| C5×#63818 | 2 |
| C3×#91312 | 2 |
| #13085790 | 2 |
| #13085695 | 2 |
| #13085675 | 2 |
| D3×#4054 | 3 |
| #10595100 | 5 |