Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1472 conjugacy classes of subgroups.
The subgroup lattice has 776 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11757150 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D15×AGL(1,ℤ/8) | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #11756433 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×C5×#454 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751346 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11751299 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11751163 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11750923 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11750922 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11750854 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11750852 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10612017 | — | 3 | 1 | no | maximal, Hall |
| 13 | C3×C5×2−1+4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #92100 | — | 2 | 2 | no | — |
| 15 | #92100 | — | 2 | 2 | no | — |
| 16 | #92100 | C22 | 1 | 2 | yes | complemented |
| 17 | #41×D15 | — | 2 | 2 | no | — |
| 18 | #41×D15 | — | 2 | 2 | no | — |
| 19 | #41×D15 | C22 | 1 | 2 | yes | — |
| 20 | #92098 | — | 2 | 2 | no | — |
| 21 | #92098 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#6821 | — | 2 | 2 | no | — |
| 23 | C2×#6821 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×D4×D15 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C3×C5×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | complemented |
| 26 | C3×C5×#124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #91838 | C22 | 1 | 2 | yes | complemented |
| 28 | #91836 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #91829 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #91821 | C22 | 1 | 2 | yes | complemented |
| 31 | #91803 | — | 2 | 2 | no | — |
| 32 | SD16×D15 | — | 2 | 2 | no | — |
| 33 | #91800 | — | 2 | 2 | no | — |
| 34 | D8×D15 | — | 2 | 2 | no | — |
| 35 | #91797 | C22 | 1 | 2 | yes | complemented |
| 36 | M16×D15 | C22 | 1 | 2 | yes | complemented |
| 37 | #91773 | — | 2 | 2 | no | — |
| 38 | #91771 | — | 2 | 2 | no | — |
| 39 | #91763 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #91761 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C3×C5×#104 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×C5×#101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #91121 | C22 | 1 | 2 | yes | complemented |
| 44 | #91120 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #91109 | C22 | 1 | 2 | yes | complemented |
| 46 | #91107 | C22 | 1 | 2 | yes | complemented |
| 47 | #91089 | C22 | 1 | 2 | yes | complemented |
| 48 | #80286 | — | 5 | 1 | no | maximal, Hall |
| 49 | #66287 | — | 3 | 1 | no | — |
| 50 | D5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 51 | #66008 | — | 3 | 1 | no | — |
| 52 | C5×#454 | D3 | 1 | 1 | yes | characteristic, complemented |
| 53 | #65534 | — | 3 | 1 | no | — |
| 54 | #65487 | — | 3 | 2 | no | — |
| 55 | #65351 | — | 3 | 1 | no | — |
| 56 | #65111 | — | 3 | 2 | no | — |
| 57 | #65110 | — | 3 | 2 | no | — |
| 58 | #65042 | — | 3 | 1 | no | — |
| 59 | #65040 | — | 3 | 1 | no | — |
| 60 | C23×D15 | — | 2 | 1 | no | — |
| 61 | C3×C5×#41 | — | 2 | 2 | no | — |
| 62 | C3×C5×#41 | — | 2 | 2 | no | — |
| 63 | C3×C5×#41 | C23 | 1 | 2 | yes | — |
| 64 | C2×C3×C5×Q8 | — | 2 | 2 | no | — |
| 65 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×#1220 | — | 2 | 2 | no | — |
| 68 | C2×#1220 | — | 2 | 1 | no | — |
| 69 | #6821 | — | 2 | 2 | no | — |
| 70 | #6821 | — | 2 | 4 | no | — |
| 71 | #6821 | — | 2 | 2 | no | — |
| 72 | #6821 | — | 2 | 2 | no | — |
| 73 | #6821 | — | 2 | 2 | no | — |
| 74 | #6821 | — | 2 | 2 | no | — |
| 75 | #6821 | D4 | 1 | 2 | yes | complemented |
| 76 | Q8×D15 | — | 2 | 2 | no | — |
| 77 | Q8×D15 | — | 2 | 2 | no | — |
| 78 | Q8×D15 | D4 | 1 | 2 | yes | complemented |
| 79 | #6819 | — | 2 | 2 | no | — |
| 80 | #6819 | — | 2 | 2 | no | — |
| 81 | #6819 | D4 | 1 | 2 | yes | complemented |
| 82 | D4×D15 | — | 2 | 4 | no | — |
| 83 | D4×D15 | — | 2 | 2 | no | — |
| 84 | D4×D15 | — | 2 | 4 | no | — |
| 85 | D4×D15 | — | 2 | 2 | no | — |
| 86 | D4×D15 | — | 2 | 2 | no | — |
| 87 | D4×D15 | — | 2 | 2 | no | — |
| 88 | D4×D15 | — | 2 | 2 | no | — |
| 89 | D4×D15 | D4 | 1 | 2 | yes | complemented |
| 90 | #6817 | — | 2 | 4 | no | — |
| 91 | #6817 | — | 2 | 4 | no | — |
| 92 | #6817 | — | 2 | 2 | no | — |
| 93 | #6817 | — | 2 | 2 | no | — |
| 94 | #6817 | — | 2 | 2 | no | — |
| 95 | #6817 | C23 | 1 | 2 | yes | — |
| 96 | C2×D60 | — | 2 | 4 | no | — |
| 97 | C2×D60 | — | 2 | 2 | no | — |
| 98 | C2×D60 | — | 2 | 2 | no | — |
| 99 | C2×D60 | D4 | 1 | 2 | yes | — |
| 100 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C4×D15 | — | 2 | 4 | no | — |
| 103 | C2×C4×D15 | — | 2 | 2 | no | — |
| 104 | C2×C4×D15 | D4 | 1 | 2 | yes | — |
| 105 | C2×C4×D15 | C23 | 1 | 1 | yes | characteristic |
| 106 | C3×C5×SD16 | — | 2 | 2 | no | — |
| 107 | C3×C5×D8 | — | 2 | 2 | no | — |
| 108 | C3×C5×M16 | C23 | 1 | 2 | yes | — |
| 109 | C3×C5×C22⋊C4 | — | 2 | 2 | no | — |
| 110 | C3×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 111 | #6717 | — | 2 | 2 | no | — |
| 112 | #6716 | — | 2 | 2 | no | — |
| 113 | #6715 | — | 2 | 2 | no | — |
| 114 | #6715 | — | 2 | 2 | no | — |
| 115 | #6714 | — | 2 | 1 | no | — |
| 116 | #6714 | — | 2 | 2 | no | — |
| 117 | #6712 | — | 2 | 1 | no | — |
| 118 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 119 | #6710 | C23 | 1 | 2 | yes | — |
| 120 | D120 | — | 2 | 2 | no | — |
| 121 | #6706 | — | 2 | 2 | no | — |
| 122 | #6705 | — | 2 | 2 | no | — |
| 123 | C8×D15 | — | 2 | 2 | no | — |
| 124 | #5968 | — | 5 | 1 | no | — |
| 125 | D3×AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 126 | #5674 | — | 5 | 1 | no | — |
| 127 | C3×#454 | D5 | 1 | 1 | yes | characteristic, complemented |
| 128 | #5245 | — | 5 | 1 | no | — |
| 129 | #5198 | — | 5 | 2 | no | — |
| 130 | #5062 | — | 5 | 1 | no | — |
| 131 | #4822 | — | 5 | 2 | no | — |
| 132 | #4821 | — | 5 | 2 | no | — |
| 133 | #4753 | — | 5 | 1 | no | — |
| 134 | #4751 | — | 5 | 1 | no | — |
| 135 | C5×2−1+4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 136 | #4149 | — | 3 | 2 | no | — |
| 137 | #4149 | — | 6 | 2 | no | — |
| 138 | #4149 | — | 6 | 2 | no | — |
| 139 | D5×#41 | — | 3 | 2 | no | — |
| 140 | D5×#41 | — | 6 | 2 | no | — |
| 141 | D5×#41 | — | 6 | 2 | no | — |
| 142 | #4147 | — | 3 | 1 | no | — |
| 143 | #4147 | — | 6 | 2 | no | — |
| 144 | C2×#713 | — | 3 | 1 | no | — |
| 145 | C2×#713 | — | 6 | 2 | no | — |
| 146 | C2×D4×D5 | — | 3 | 1 | no | — |
| 147 | C5×AGL(1,ℤ/8) | C2×D3 | 1 | 2 | yes | complemented |
| 148 | C5×#124 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 149 | #4095 | — | 3 | 2 | no | — |
| 150 | #4093 | — | 3 | 1 | no | — |
| 151 | #4086 | — | 3 | 1 | no | — |
| 152 | #4078 | — | 3 | 2 | no | — |
| 153 | #4060 | — | 6 | 2 | no | — |
| 154 | D5×SD16 | — | 6 | 2 | no | — |
| 155 | #4057 | — | 6 | 2 | no | — |
| 156 | D5×D8 | — | 6 | 2 | no | — |
| 157 | #4054 | — | 3 | 2 | no | — |
| 158 | D5×M16 | — | 3 | 2 | no | — |
| 159 | #4030 | — | 6 | 2 | no | — |
| 160 | #4028 | — | 6 | 2 | no | — |
| 161 | #4020 | — | 3 | 1 | no | — |
| 162 | #4018 | — | 3 | 1 | no | — |
| 163 | C5×#104 | C2×D3 | 1 | 2 | yes | complemented |
| 164 | C5×#101 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 165 | #3969 | — | 3 | 2 | no | — |
| 166 | #3968 | — | 3 | 1 | no | — |
| 167 | #3957 | — | 3 | 2 | no | — |
| 168 | #3955 | — | 3 | 2 | no | — |
| 169 | #3937 | — | 3 | 2 | no | — |
| 170 | #3021 | — | 15 | 1 | no | Sylow |
| 171 | C23×C3×C5 | — | 2 | 1 | no | — |
| 172 | C22×D15 | — | 2 | 4 | no | — |
| 173 | C22×D15 | — | 2 | 2 | no | — |
| 174 | C22×D15 | — | 2 | 1 | no | — |
| 175 | C22×D15 | — | 4 | 2 | no | — |
| 176 | C22×D15 | — | 8 | 2 | no | — |
| 177 | C22×D15 | C2×D4 | 1 | 2 | yes | — |
| 178 | C22×D15 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C3×C5×Q8 | — | 2 | 2 | no | — |
| 180 | C3×C5×Q8 | — | 2 | 2 | no | — |
| 181 | C3×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 182 | C3×C5×D4 | — | 2 | 2 | no | — |
| 183 | C3×C5×D4 | — | 2 | 2 | no | — |
| 184 | C3×C5×D4 | — | 2 | 2 | no | — |
| 185 | C3×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 186 | C2×C3×C4×C5 | — | 2 | 4 | no | — |
| 187 | C2×C3×C4×C5 | — | 2 | 2 | no | — |
| 188 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 189 | C2×C3×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 190 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 191 | #1220 | — | 2 | 4 | no | — |
| 192 | #1220 | — | 2 | 2 | no | — |
| 193 | #1220 | — | 2 | 2 | no | — |
| 194 | #1220 | — | 2 | 2 | no | — |
| 195 | #1220 | — | 4 | 1 | no | — |
| 196 | #1220 | — | 4 | 1 | no | — |
| 197 | #1220 | — | 8 | 2 | no | — |
| 198 | C2×Dic15 | — | 2 | 2 | no | — |
| 199 | C2×Dic15 | — | 2 | 1 | no | — |
| 200 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | D60 | — | 2 | 4 | no | — |
| 202 | D60 | — | 2 | 2 | no | — |
| 203 | D60 | — | 2 | 2 | no | — |
| 204 | D60 | — | 2 | 4 | no | — |
| 205 | D60 | — | 2 | 2 | no | — |
| 206 | D60 | — | 2 | 2 | no | — |
| 207 | D60 | — | 8 | 2 | no | — |
| 208 | D60 | C2×D4 | 1 | 2 | yes | — |
| 209 | C4×D15 | — | 2 | 4 | no | — |
| 210 | C4×D15 | — | 2 | 4 | no | — |
| 211 | C4×D15 | — | 2 | 2 | no | — |
| 212 | C4×D15 | — | 2 | 2 | no | — |
| 213 | C4×D15 | — | 2 | 2 | no | — |
| 214 | C4×D15 | — | 2 | 2 | no | — |
| 215 | C4×D15 | — | 2 | 2 | no | — |
| 216 | C4×D15 | C2×D4 | 1 | 2 | yes | — |
| 217 | C4×D15 | C2×D4 | 1 | 2 | yes | — |
| 218 | Dic30 | — | 2 | 2 | no | — |
| 219 | Dic30 | — | 2 | 2 | no | — |
| 220 | Dic30 | C2×D4 | 1 | 2 | yes | — |
| 221 | C3×C5×C8 | — | 2 | 2 | no | — |
| 222 | C3⋊#168 | — | 2 | 2 | no | — |
| 223 | C3×2−1+4 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 224 | #1009 | — | 5 | 2 | no | — |
| 225 | #1009 | — | 10 | 2 | no | — |
| 226 | #1009 | — | 10 | 2 | no | — |
| 227 | D3×#41 | — | 5 | 2 | no | — |
| 228 | D3×#41 | — | 10 | 2 | no | — |
| 229 | D3×#41 | — | 10 | 2 | no | — |
| 230 | #1007 | — | 5 | 1 | no | — |
| 231 | #1007 | — | 10 | 2 | no | — |
| 232 | C2×#239 | — | 5 | 1 | no | — |
| 233 | C2×#239 | — | 10 | 2 | no | — |
| 234 | C2×D3×D4 | — | 5 | 1 | no | — |
| 235 | C3×AGL(1,ℤ/8) | C2×D5 | 1 | 2 | yes | complemented |
| 236 | C3×#124 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 237 | #949 | — | 5 | 2 | no | — |
| 238 | #947 | — | 5 | 1 | no | — |
| 239 | #940 | — | 5 | 1 | no | — |
| 240 | #932 | — | 5 | 2 | no | — |
| 241 | #914 | — | 10 | 2 | no | — |
| 242 | D3×SD16 | — | 10 | 2 | no | — |
| 243 | #911 | — | 10 | 2 | no | — |
| 244 | D3×D8 | — | 10 | 2 | no | — |
| 245 | #908 | — | 5 | 2 | no | — |
| 246 | D3×M16 | — | 5 | 2 | no | — |
| 247 | #884 | — | 10 | 2 | no | — |
| 248 | #882 | — | 10 | 2 | no | — |
| 249 | #874 | — | 5 | 1 | no | — |
| 250 | #872 | — | 5 | 1 | no | — |
| 251 | C3×#104 | C2×D5 | 1 | 2 | yes | complemented |
| 252 | C3×#101 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 253 | #837 | — | 5 | 2 | no | — |
| 254 | #836 | — | 5 | 1 | no | — |
| 255 | #825 | — | 5 | 2 | no | — |
| 256 | #823 | — | 5 | 2 | no | — |
| 257 | #805 | — | 5 | 2 | no | — |
| 258 | C23×D5 | — | 6 | 1 | no | — |
| 259 | C5×#41 | — | 2 | 2 | no | — |
| 260 | C5×#41 | — | 2 | 2 | no | — |
| 261 | C5×#41 | C22×D3 | 1 | 2 | yes | — |
| 262 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 263 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 264 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 265 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 266 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 267 | #713 | — | 3 | 2 | no | — |
| 268 | #713 | — | 6 | 2 | no | — |
| 269 | #713 | — | 6 | 2 | no | — |
| 270 | #713 | — | 6 | 2 | no | — |
| 271 | #713 | — | 6 | 2 | no | — |
| 272 | #713 | — | 6 | 4 | no | — |
| 273 | #713 | — | 6 | 2 | no | — |
| 274 | Q8×D5 | — | 3 | 2 | no | — |
| 275 | Q8×D5 | — | 6 | 2 | no | — |
| 276 | Q8×D5 | — | 6 | 2 | no | — |
| 277 | #711 | — | 3 | 2 | no | — |
| 278 | #711 | — | 6 | 2 | no | — |
| 279 | #711 | — | 6 | 2 | no | — |
| 280 | D4×D5 | — | 3 | 2 | no | — |
| 281 | D4×D5 | — | 6 | 2 | no | — |
| 282 | D4×D5 | — | 6 | 2 | no | — |
| 283 | D4×D5 | — | 6 | 2 | no | — |
| 284 | D4×D5 | — | 6 | 4 | no | — |
| 285 | D4×D5 | — | 6 | 2 | no | — |
| 286 | D4×D5 | — | 6 | 4 | no | — |
| 287 | D4×D5 | — | 6 | 2 | no | — |
| 288 | #709 | — | 3 | 2 | no | — |
| 289 | #709 | — | 6 | 2 | no | — |
| 290 | #709 | — | 6 | 2 | no | — |
| 291 | #709 | — | 6 | 4 | no | — |
| 292 | #709 | — | 6 | 4 | no | — |
| 293 | #709 | — | 6 | 2 | no | — |
| 294 | C2×D20 | — | 3 | 2 | no | — |
| 295 | C2×D20 | — | 3 | 1 | no | — |
| 296 | C2×D20 | — | 3 | 1 | no | — |
| 297 | C2×D20 | — | 6 | 2 | no | — |
| 298 | C2×D20 | — | 6 | 4 | no | — |
| 299 | C2×D20 | — | 6 | 2 | no | — |
| 300 | C2×C4×D5 | — | 3 | 1 | no | — |
| 301 | C2×C4×D5 | — | 3 | 2 | no | — |
| 302 | C2×C4×D5 | — | 6 | 2 | no | — |
| 303 | C2×C4×D5 | — | 6 | 4 | no | — |
| 304 | C5×SD16 | — | 2 | 2 | no | — |
| 305 | C5×D8 | — | 2 | 2 | no | — |
| 306 | C5×M16 | C22×D3 | 1 | 2 | yes | — |
| 307 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 308 | C42×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 309 | #688 | — | 6 | 2 | no | — |
| 310 | #687 | — | 6 | 2 | no | — |
| 311 | #686 | — | 6 | 2 | no | — |
| 312 | #686 | — | 6 | 2 | no | — |
| 313 | #685 | — | 6 | 1 | no | — |
| 314 | #685 | — | 6 | 2 | no | — |
| 315 | #683 | — | 6 | 1 | no | — |
| 316 | C4×Dic5 | — | 3 | 1 | no | — |
| 317 | #681 | — | 3 | 2 | no | — |
| 318 | D40 | — | 6 | 2 | no | — |
| 319 | #677 | — | 6 | 2 | no | — |
| 320 | #676 | — | 6 | 2 | no | — |
| 321 | C8×D5 | — | 6 | 2 | no | — |
| 322 | #585 | — | 15 | 1 | no | — |
| 323 | C2×AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 324 | #535 | — | 15 | 1 | no | — |
| 325 | #454 | — | 15 | 1 | no | — |
| 326 | #454 | — | 15 | 1 | no | — |
| 327 | #454 | — | 15 | 1 | no | — |
| 328 | #454 | D15 | 1 | 1 | yes | characteristic, complemented |
| 329 | #453 | — | 15 | 2 | no | — |
| 330 | #453 | — | 15 | 2 | no | — |
| 331 | #421 | — | 15 | 2 | no | — |
| 332 | #413 | — | 15 | 1 | no | — |
| 333 | C22×C3×C5 | — | 2 | 2 | no | — |
| 334 | C22×C3×C5 | — | 4 | 2 | no | — |
| 335 | C22×C3×C5 | — | 4 | 1 | no | — |
| 336 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 337 | C2×D15 | — | 2 | 2 | no | — |
| 338 | C2×D15 | — | 2 | 2 | no | — |
| 339 | C2×D15 | — | 4 | 1 | no | — |
| 340 | C2×D15 | — | 4 | 2 | no | — |
| 341 | C2×D15 | — | 4 | 2 | no | — |
| 342 | C2×D15 | — | 4 | 1 | no | — |
| 343 | C2×D15 | — | 8 | 2 | no | — |
| 344 | C2×D15 | — | 8 | 4 | no | — |
| 345 | C2×D15 | — | 8 | 4 | no | — |
| 346 | C2×D15 | #120 | 1 | 2 | yes | — |
| 347 | C3×C4×C5 | — | 2 | 2 | no | — |
| 348 | C3×C4×C5 | — | 2 | 2 | no | — |
| 349 | C3×C4×C5 | — | 4 | 1 | no | — |
| 350 | C3×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 351 | Dic15 | — | 2 | 2 | no | — |
| 352 | Dic15 | — | 4 | 1 | no | — |
| 353 | Dic15 | #120 | 1 | 1 | yes | characteristic |
| 354 | Dic15 | #120 | 1 | 1 | yes | characteristic |
| 355 | C23×D3 | — | 10 | 1 | no | — |
| 356 | C3×#41 | — | 2 | 2 | no | — |
| 357 | C3×#41 | — | 2 | 2 | no | — |
| 358 | C3×#41 | C22×D5 | 1 | 2 | yes | — |
| 359 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 360 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 361 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 362 | C2×#67 | — | 10 | 1 | no | — |
| 363 | C2×#67 | — | 10 | 2 | no | — |
| 364 | #239 | — | 5 | 2 | no | — |
| 365 | #239 | — | 10 | 2 | no | — |
| 366 | #239 | — | 10 | 2 | no | — |
| 367 | #239 | — | 10 | 2 | no | — |
| 368 | #239 | — | 10 | 2 | no | — |
| 369 | #239 | — | 10 | 4 | no | — |
| 370 | #239 | — | 10 | 2 | no | — |
| 371 | D3×Q8 | — | 5 | 2 | no | — |
| 372 | D3×Q8 | — | 10 | 2 | no | — |
| 373 | D3×Q8 | — | 10 | 2 | no | — |
| 374 | #237 | — | 5 | 2 | no | — |
| 375 | #237 | — | 10 | 2 | no | — |
| 376 | #237 | — | 10 | 2 | no | — |
| 377 | D3×D4 | — | 5 | 2 | no | — |
| 378 | D3×D4 | — | 10 | 2 | no | — |
| 379 | D3×D4 | — | 10 | 2 | no | — |
| 380 | D3×D4 | — | 10 | 2 | no | — |
| 381 | D3×D4 | — | 10 | 4 | no | — |
| 382 | D3×D4 | — | 10 | 2 | no | — |
| 383 | D3×D4 | — | 10 | 4 | no | — |
| 384 | D3×D4 | — | 10 | 2 | no | — |
| 385 | #235 | — | 5 | 2 | no | — |
| 386 | #235 | — | 10 | 2 | no | — |
| 387 | #235 | — | 10 | 2 | no | — |
| 388 | #235 | — | 10 | 4 | no | — |
| 389 | #235 | — | 10 | 4 | no | — |
| 390 | #235 | — | 10 | 2 | no | — |
| 391 | C2×D12 | — | 5 | 2 | no | — |
| 392 | C2×D12 | — | 5 | 1 | no | — |
| 393 | C2×D12 | — | 5 | 1 | no | — |
| 394 | C2×D12 | — | 10 | 2 | no | — |
| 395 | C2×D12 | — | 10 | 4 | no | — |
| 396 | C2×D12 | — | 10 | 2 | no | — |
| 397 | C2×C4×D3 | — | 5 | 1 | no | — |
| 398 | C2×C4×D3 | — | 5 | 2 | no | — |
| 399 | C2×C4×D3 | — | 10 | 2 | no | — |
| 400 | C2×C4×D3 | — | 10 | 4 | no | — |
| 401 | C3×SD16 | — | 2 | 2 | no | — |
| 402 | C3×D8 | — | 2 | 2 | no | — |
| 403 | C3×M16 | C22×D5 | 1 | 2 | yes | — |
| 404 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 405 | C3×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 406 | #215 | — | 10 | 2 | no | — |
| 407 | #214 | — | 10 | 2 | no | — |
| 408 | #213 | — | 10 | 2 | no | — |
| 409 | #213 | — | 10 | 2 | no | — |
| 410 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 411 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 412 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 413 | C4×Dic3 | — | 5 | 1 | no | — |
| 414 | #208 | — | 5 | 2 | no | — |
| 415 | D24 | — | 10 | 2 | no | — |
| 416 | #204 | — | 10 | 2 | no | — |
| 417 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 418 | D3×C8 | — | 10 | 2 | no | — |
| 419 | C23×C5 | — | 2 | 1 | no | — |
| 420 | C22×D5 | — | 3 | 1 | no | — |
| 421 | C22×D5 | — | 3 | 2 | no | — |
| 422 | C22×D5 | — | 6 | 2 | no | — |
| 423 | C22×D5 | — | 6 | 4 | no | — |
| 424 | C22×D5 | — | 6 | 1 | no | — |
| 425 | C22×D5 | — | 12 | 2 | no | — |
| 426 | C22×D5 | — | 24 | 2 | no | — |
| 427 | C5×Q8 | — | 2 | 2 | no | — |
| 428 | C5×Q8 | — | 2 | 2 | no | — |
| 429 | C5×Q8 | D3×D4 | 1 | 2 | yes | — |
| 430 | C5×D4 | — | 2 | 2 | no | — |
| 431 | C5×D4 | — | 2 | 2 | no | — |
| 432 | C5×D4 | — | 2 | 2 | no | — |
| 433 | C5×D4 | D3×D4 | 1 | 2 | yes | — |
| 434 | C2×C4×C5 | — | 2 | 4 | no | — |
| 435 | C2×C4×C5 | — | 2 | 2 | no | — |
| 436 | C2×C4×C5 | — | 2 | 1 | no | — |
| 437 | C2×C4×C5 | D3×D4 | 1 | 2 | yes | — |
| 438 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 439 | C22⋊D5 | — | 6 | 2 | no | — |
| 440 | C22⋊D5 | — | 6 | 2 | no | — |
| 441 | C22⋊D5 | — | 6 | 4 | no | — |
| 442 | C22⋊D5 | — | 6 | 2 | no | — |
| 443 | C22⋊D5 | — | 12 | 1 | no | — |
| 444 | C22⋊D5 | — | 12 | 1 | no | — |
| 445 | C22⋊D5 | — | 24 | 2 | no | — |
| 446 | C2×Dic5 | — | 3 | 1 | no | — |
| 447 | C2×Dic5 | — | 6 | 2 | no | — |
| 448 | C2×Dic5 | — | 6 | 1 | no | — |
| 449 | D20 | — | 3 | 2 | no | — |
| 450 | D20 | — | 6 | 4 | no | — |
| 451 | D20 | — | 6 | 2 | no | — |
| 452 | D20 | — | 6 | 4 | no | — |
| 453 | D20 | — | 6 | 2 | no | — |
| 454 | D20 | — | 6 | 2 | no | — |
| 455 | D20 | — | 6 | 2 | no | — |
| 456 | D20 | — | 24 | 2 | no | — |
| 457 | C4×D5 | — | 3 | 2 | no | — |
| 458 | C4×D5 | — | 3 | 2 | no | — |
| 459 | C4×D5 | — | 6 | 2 | no | — |
| 460 | C4×D5 | — | 6 | 2 | no | — |
| 461 | C4×D5 | — | 6 | 2 | no | — |
| 462 | C4×D5 | — | 6 | 2 | no | — |
| 463 | C4×D5 | — | 6 | 4 | no | — |
| 464 | C4×D5 | — | 6 | 4 | no | — |
| 465 | C4×D5 | — | 6 | 2 | no | — |
| 466 | Dic10 | — | 3 | 2 | no | — |
| 467 | Dic10 | — | 6 | 2 | no | — |
| 468 | Dic10 | — | 6 | 2 | no | — |
| 469 | C5×C8 | — | 2 | 2 | no | — |
| 470 | #168 | — | 6 | 2 | no | — |
| 471 | 2−1+4 | — | 15 | 1 | no | — |
| 472 | 2−1+4 | — | 30 | 2 | no | — |
| 473 | 2−1+4 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 474 | H(5,𝔽2) | — | 15 | 2 | no | — |
| 475 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 476 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 477 | C2×#41 | — | 15 | 1 | no | — |
| 478 | C2×#41 | — | 15 | 2 | no | — |
| 479 | C2×#41 | — | 30 | 2 | no | — |
| 480 | C2×#41 | — | 30 | 2 | no | — |
| 481 | C2×#41 | — | 30 | 2 | no | — |
| 482 | C22×D4 | — | 15 | 1 | no | — |
| 483 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 484 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 485 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 486 | AGL(1,ℤ/8) | — | 30 | 2 | no | — |
| 487 | AGL(1,ℤ/8) | — | 30 | 2 | no | — |
| 488 | AGL(1,ℤ/8) | C2×D15 | 1 | 2 | yes | complemented |
| 489 | C2×SD16 | — | 30 | 2 | no | — |
| 490 | C2×D8 | — | 30 | 2 | no | — |
| 491 | C2×M16 | — | 15 | 2 | no | — |
| 492 | #127 | — | 15 | 1 | no | — |
| 493 | #127 | — | 15 | 1 | no | — |
| 494 | #124 | — | 15 | 1 | no | — |
| 495 | #124 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 496 | #121 | — | 30 | 2 | no | — |
| 497 | #120 | — | 30 | 2 | no | — |
| 498 | #117 | — | 15 | 1 | no | — |
| 499 | #104 | — | 15 | 2 | no | — |
| 500 | #104 | — | 15 | 2 | no | — |
| 501 | #104 | — | 15 | 2 | no | — |
| 502 | #104 | C2×D15 | 1 | 2 | yes | complemented |
| 503 | #101 | — | 15 | 1 | no | — |
| 504 | #101 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 505 | #100 | — | 15 | 2 | no | — |
| 506 | C2×C3×C5 | — | 2 | 1 | no | — |
| 507 | C2×C3×C5 | — | 4 | 2 | no | — |
| 508 | C2×C3×C5 | — | 8 | 1 | no | — |
| 509 | C2×C3×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 510 | D15 | — | 2 | 2 | no | — |
| 511 | D15 | — | 4 | 2 | no | — |
| 512 | D15 | — | 4 | 2 | no | — |
| 513 | D15 | — | 8 | 1 | no | — |
| 514 | C23×C3 | — | 2 | 1 | no | — |
| 515 | C22×D3 | — | 5 | 1 | no | — |
| 516 | C22×D3 | — | 5 | 2 | no | — |
| 517 | C22×D3 | — | 10 | 2 | no | — |
| 518 | C22×D3 | — | 10 | 4 | no | — |
| 519 | C22×D3 | — | 10 | 1 | no | — |
| 520 | C22×D3 | — | 20 | 2 | no | — |
| 521 | C22×D3 | — | 40 | 2 | no | — |
| 522 | C3×Q8 | — | 2 | 2 | no | — |
| 523 | C3×Q8 | — | 2 | 2 | no | — |
| 524 | C3×Q8 | D4×D5 | 1 | 2 | yes | — |
| 525 | C3×D4 | — | 2 | 2 | no | — |
| 526 | C3×D4 | — | 2 | 2 | no | — |
| 527 | C3×D4 | — | 2 | 2 | no | — |
| 528 | C3×D4 | D4×D5 | 1 | 2 | yes | — |
| 529 | C2×C3×C4 | — | 2 | 4 | no | — |
| 530 | C2×C3×C4 | — | 2 | 2 | no | — |
| 531 | C2×C3×C4 | — | 2 | 1 | no | — |
| 532 | C2×C3×C4 | D4×D5 | 1 | 2 | yes | — |
| 533 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 534 | #67 | — | 10 | 2 | no | — |
| 535 | #67 | — | 10 | 2 | no | — |
| 536 | #67 | — | 10 | 4 | no | — |
| 537 | #67 | — | 10 | 2 | no | — |
| 538 | #67 | — | 20 | 1 | no | — |
| 539 | #67 | — | 20 | 1 | no | — |
| 540 | #67 | — | 40 | 2 | no | — |
| 541 | C2×Dic3 | — | 5 | 1 | no | — |
| 542 | C2×Dic3 | — | 10 | 2 | no | — |
| 543 | C2×Dic3 | — | 10 | 1 | no | — |
| 544 | D12 | — | 5 | 2 | no | — |
| 545 | D12 | — | 10 | 4 | no | — |
| 546 | D12 | — | 10 | 2 | no | — |
| 547 | D12 | — | 10 | 4 | no | — |
| 548 | D12 | — | 10 | 2 | no | — |
| 549 | D12 | — | 10 | 2 | no | — |
| 550 | D12 | — | 10 | 2 | no | — |
| 551 | D12 | — | 40 | 2 | no | — |
| 552 | C4×D3 | — | 5 | 2 | no | — |
| 553 | C4×D3 | — | 5 | 2 | no | — |
| 554 | C4×D3 | — | 10 | 2 | no | — |
| 555 | C4×D3 | — | 10 | 2 | no | — |
| 556 | C4×D3 | — | 10 | 2 | no | — |
| 557 | C4×D3 | — | 10 | 2 | no | — |
| 558 | C4×D3 | — | 10 | 4 | no | — |
| 559 | C4×D3 | — | 10 | 4 | no | — |
| 560 | C4×D3 | — | 10 | 2 | no | — |
| 561 | Dic6 | — | 5 | 2 | no | — |
| 562 | Dic6 | — | 10 | 2 | no | — |
| 563 | Dic6 | — | 10 | 2 | no | — |
| 564 | C3×C8 | — | 2 | 2 | no | — |
| 565 | C3⋊C8 | — | 10 | 2 | no | — |
| 566 | C22×C5 | — | 2 | 2 | no | — |
| 567 | C22×C5 | — | 4 | 2 | no | — |
| 568 | C22×C5 | — | 4 | 1 | no | — |
| 569 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 570 | C2×D5 | — | 3 | 2 | no | — |
| 571 | C2×D5 | — | 6 | 2 | no | — |
| 572 | C2×D5 | — | 6 | 2 | no | — |
| 573 | C2×D5 | — | 12 | 1 | no | — |
| 574 | C2×D5 | — | 12 | 2 | no | — |
| 575 | C2×D5 | — | 12 | 2 | no | — |
| 576 | C2×D5 | — | 12 | 1 | no | — |
| 577 | C2×D5 | — | 24 | 2 | no | — |
| 578 | C2×D5 | — | 24 | 4 | no | — |
| 579 | C2×D5 | — | 24 | 4 | no | — |
| 580 | C4×C5 | — | 2 | 2 | no | — |
| 581 | C4×C5 | — | 2 | 2 | no | — |
| 582 | C4×C5 | — | 4 | 1 | no | — |
| 583 | C4×C5 | C2×D3×D4 | 1 | 2 | yes | — |
| 584 | Dic5 | — | 3 | 1 | no | — |
| 585 | Dic5 | — | 3 | 1 | no | — |
| 586 | Dic5 | — | 6 | 2 | no | — |
| 587 | Dic5 | — | 12 | 1 | no | — |
| 588 | C24 | — | 30 | 1 | no | — |
| 589 | #41 | — | 2 | 2 | no | — |
| 590 | #41 | — | 2 | 2 | no | — |
| 591 | #41 | — | 15 | 2 | no | — |
| 592 | #41 | — | 15 | 2 | no | — |
| 593 | #41 | — | 15 | 2 | no | — |
| 594 | #41 | — | 30 | 2 | no | — |
| 595 | #41 | — | 30 | 2 | no | — |
| 596 | #41 | — | 30 | 4 | no | — |
| 597 | #41 | — | 30 | 4 | no | — |
| 598 | #41 | — | 30 | 2 | no | — |
| 599 | #41 | — | 30 | 2 | no | — |
| 600 | #41 | — | 30 | 2 | no | — |
| 601 | #41 | — | 30 | 2 | no | — |
| 602 | #41 | — | 30 | 2 | no | — |
| 603 | #41 | — | 30 | 2 | no | — |
| 604 | #41 | — | 30 | 4 | no | — |
| 605 | #41 | — | 30 | 2 | no | — |
| 606 | #41 | — | 30 | 2 | no | — |
| 607 | #41 | C22×D15 | 1 | 2 | yes | — |
| 608 | C2×Q8 | — | 2 | 2 | no | — |
| 609 | C2×Q8 | — | 15 | 2 | no | — |
| 610 | C2×Q8 | — | 30 | 2 | no | — |
| 611 | C2×Q8 | — | 30 | 2 | no | — |
| 612 | C2×Q8 | C22×D15 | 1 | 1 | yes | characteristic |
| 613 | C2×D4 | — | 15 | 2 | no | — |
| 614 | C2×D4 | — | 15 | 2 | no | — |
| 615 | C2×D4 | — | 15 | 1 | no | — |
| 616 | C2×D4 | — | 15 | 1 | no | — |
| 617 | C2×D4 | — | 30 | 2 | no | — |
| 618 | C2×D4 | — | 30 | 4 | no | — |
| 619 | C2×D4 | — | 30 | 2 | no | — |
| 620 | C2×D4 | — | 30 | 2 | no | — |
| 621 | C2×D4 | — | 30 | 2 | no | — |
| 622 | C2×D4 | — | 30 | 1 | no | — |
| 623 | C2×D4 | — | 30 | 2 | no | — |
| 624 | C2×D4 | — | 30 | 4 | no | — |
| 625 | C2×D4 | — | 30 | 2 | no | — |
| 626 | C2×D4 | — | 30 | 4 | no | — |
| 627 | C2×D4 | — | 30 | 2 | no | — |
| 628 | C2×D4 | — | 30 | 2 | no | — |
| 629 | C2×D4 | C22×D15 | 1 | 1 | yes | characteristic |
| 630 | C22×C4 | — | 15 | 1 | no | — |
| 631 | C22×C4 | — | 15 | 2 | no | — |
| 632 | C22×C4 | — | 30 | 2 | no | — |
| 633 | C22×C4 | — | 30 | 4 | no | — |
| 634 | SD16 | — | 2 | 2 | no | — |
| 635 | SD16 | — | 30 | 2 | no | — |
| 636 | SD16 | — | 30 | 2 | no | — |
| 637 | SD16 | — | 30 | 2 | no | — |
| 638 | D8 | — | 2 | 2 | no | — |
| 639 | D8 | — | 30 | 2 | no | — |
| 640 | D8 | — | 30 | 2 | no | — |
| 641 | D8 | — | 30 | 2 | no | — |
| 642 | M16 | — | 15 | 2 | no | — |
| 643 | M16 | — | 30 | 2 | no | — |
| 644 | M16 | C22×D15 | 1 | 2 | yes | — |
| 645 | C2×C8 | — | 30 | 2 | no | — |
| 646 | C4⋊C4 | — | 30 | 1 | no | — |
| 647 | C22⋊C4 | — | 2 | 2 | no | — |
| 648 | C22⋊C4 | — | 30 | 1 | no | — |
| 649 | C22⋊C4 | — | 30 | 2 | no | — |
| 650 | C42 | — | 15 | 1 | no | — |
| 651 | C42 | C22×D15 | 1 | 1 | yes | characteristic |
| 652 | C3×C5 | #3021 | 1 | 1 | yes | characteristic, complemented, Hall |
| 653 | C22×C3 | — | 2 | 2 | no | — |
| 654 | C22×C3 | — | 4 | 2 | no | — |
| 655 | C22×C3 | — | 4 | 1 | no | — |
| 656 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 657 | C2×D3 | — | 5 | 2 | no | — |
| 658 | C2×D3 | — | 10 | 2 | no | — |
| 659 | C2×D3 | — | 10 | 2 | no | — |
| 660 | C2×D3 | — | 20 | 1 | no | — |
| 661 | C2×D3 | — | 20 | 2 | no | — |
| 662 | C2×D3 | — | 20 | 2 | no | — |
| 663 | C2×D3 | — | 20 | 1 | no | — |
| 664 | C2×D3 | — | 40 | 2 | no | — |
| 665 | C2×D3 | — | 40 | 4 | no | — |
| 666 | C2×D3 | — | 40 | 4 | no | — |
| 667 | C3×C4 | — | 2 | 2 | no | — |
| 668 | C3×C4 | — | 2 | 2 | no | — |
| 669 | C3×C4 | — | 4 | 1 | no | — |
| 670 | C3×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 671 | Dic3 | — | 5 | 1 | no | — |
| 672 | Dic3 | — | 5 | 1 | no | — |
| 673 | Dic3 | — | 10 | 2 | no | — |
| 674 | Dic3 | — | 20 | 1 | no | — |
| 675 | C2×C5 | — | 2 | 1 | no | — |
| 676 | C2×C5 | — | 4 | 2 | no | — |
| 677 | C2×C5 | — | 8 | 1 | no | — |
| 678 | C2×C5 | D3×#120 | 1 | 1 | yes | characteristic |
| 679 | D5 | — | 6 | 2 | no | — |
| 680 | D5 | — | 12 | 2 | no | — |
| 681 | D5 | — | 12 | 2 | no | — |
| 682 | D5 | — | 24 | 1 | no | — |
| 683 | C23 | — | 2 | 1 | no | — |
| 684 | C23 | — | 15 | 1 | no | — |
| 685 | C23 | — | 15 | 2 | no | — |
| 686 | C23 | — | 30 | 2 | no | — |
| 687 | C23 | — | 30 | 4 | no | — |
| 688 | C23 | — | 30 | 1 | no | — |
| 689 | C23 | — | 60 | 2 | no | — |
| 690 | C23 | — | 120 | 2 | no | — |
| 691 | Q8 | — | 2 | 2 | no | — |
| 692 | Q8 | — | 2 | 2 | no | — |
| 693 | Q8 | — | 15 | 2 | no | — |
| 694 | Q8 | — | 30 | 2 | no | — |
| 695 | Q8 | — | 30 | 2 | no | — |
| 696 | Q8 | D4×D15 | 1 | 2 | yes | — |
| 697 | D4 | — | 2 | 2 | no | — |
| 698 | D4 | — | 2 | 2 | no | — |
| 699 | D4 | — | 2 | 2 | no | — |
| 700 | D4 | — | 15 | 2 | no | — |
| 701 | D4 | — | 30 | 4 | no | — |
| 702 | D4 | — | 30 | 2 | no | — |
| 703 | D4 | — | 30 | 4 | no | — |
| 704 | D4 | — | 30 | 2 | no | — |
| 705 | D4 | — | 30 | 2 | no | — |
| 706 | D4 | — | 30 | 2 | no | — |
| 707 | D4 | — | 30 | 4 | no | — |
| 708 | D4 | — | 30 | 2 | no | — |
| 709 | D4 | — | 30 | 2 | no | — |
| 710 | D4 | — | 30 | 2 | no | — |
| 711 | D4 | — | 60 | 1 | no | — |
| 712 | D4 | — | 60 | 1 | no | — |
| 713 | D4 | — | 120 | 2 | no | — |
| 714 | D4 | — | 120 | 2 | no | — |
| 715 | D4 | D4×D15 | 1 | 2 | yes | — |
| 716 | C2×C4 | — | 2 | 4 | no | — |
| 717 | C2×C4 | — | 2 | 2 | no | — |
| 718 | C2×C4 | — | 2 | 1 | no | — |
| 719 | C2×C4 | — | 15 | 1 | no | — |
| 720 | C2×C4 | — | 15 | 2 | no | — |
| 721 | C2×C4 | — | 15 | 2 | no | — |
| 722 | C2×C4 | — | 30 | 2 | no | — |
| 723 | C2×C4 | — | 30 | 2 | no | — |
| 724 | C2×C4 | — | 30 | 2 | no | — |
| 725 | C2×C4 | — | 30 | 2 | no | — |
| 726 | C2×C4 | — | 30 | 4 | no | — |
| 727 | C2×C4 | — | 30 | 4 | no | — |
| 728 | C2×C4 | — | 30 | 2 | no | — |
| 729 | C2×C4 | — | 30 | 2 | no | — |
| 730 | C2×C4 | — | 30 | 1 | no | — |
| 731 | C2×C4 | D4×D15 | 1 | 2 | yes | — |
| 732 | C2×C4 | C23×D15 | 1 | 1 | yes | characteristic |
| 733 | C8 | — | 2 | 2 | no | — |
| 734 | C8 | — | 30 | 2 | no | — |
| 735 | C2×C3 | — | 2 | 1 | no | — |
| 736 | C2×C3 | — | 4 | 2 | no | — |
| 737 | C2×C3 | — | 8 | 1 | no | — |
| 738 | C2×C3 | D5×#120 | 1 | 1 | yes | characteristic |
| 739 | D3 | — | 10 | 2 | no | — |
| 740 | D3 | — | 20 | 2 | no | — |
| 741 | D3 | — | 20 | 2 | no | — |
| 742 | D3 | — | 40 | 1 | no | — |
| 743 | C5 | #80286 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 744 | C22 | — | 2 | 2 | no | — |
| 745 | C22 | — | 4 | 2 | no | — |
| 746 | C22 | — | 4 | 1 | no | — |
| 747 | C22 | — | 15 | 2 | no | — |
| 748 | C22 | — | 30 | 2 | no | — |
| 749 | C22 | — | 30 | 2 | no | — |
| 750 | C22 | — | 60 | 1 | no | — |
| 751 | C22 | — | 60 | 2 | no | — |
| 752 | C22 | — | 60 | 2 | no | — |
| 753 | C22 | — | 60 | 1 | no | — |
| 754 | C22 | — | 120 | 2 | no | — |
| 755 | C22 | — | 120 | 4 | no | — |
| 756 | C22 | — | 120 | 4 | no | — |
| 757 | C22 | C2×D4×D15 | 1 | 1 | yes | characteristic |
| 758 | C4 | — | 2 | 2 | no | — |
| 759 | C4 | — | 2 | 2 | no | — |
| 760 | C4 | — | 4 | 1 | no | — |
| 761 | C4 | — | 15 | 1 | no | — |
| 762 | C4 | — | 15 | 1 | no | — |
| 763 | C4 | — | 30 | 2 | no | — |
| 764 | C4 | — | 60 | 1 | no | — |
| 765 | C4 | C2×D4×D15 | 1 | 2 | yes | — |
| 766 | C3 | #10612017 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 767 | C2 | — | 2 | 1 | no | — |
| 768 | C2 | — | 4 | 2 | no | — |
| 769 | C2 | — | 8 | 1 | no | — |
| 770 | C2 | — | 30 | 2 | no | — |
| 771 | C2 | — | 60 | 2 | no | — |
| 772 | C2 | — | 60 | 2 | no | — |
| 773 | C2 | — | 120 | 1 | no | — |
| 774 | C2 | D15×#120 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11757150 | C2 | semidirect |
| 2. D15×AGL(1,ℤ/8) | C2 | semidirect |
| 3. #11756433 | C2 | semidirect |
| 4. C3×C5×#454 | C2 | semidirect |
| 5. #11751346 | C2 | semidirect |
| 6. #11751299 | C2 | semidirect |
| 7. #11751163 | C2 | semidirect |
| 8. #11750923 | C2 | semidirect |
| 9. #11750922 | C2 | semidirect |
| 10. #11750854 | C2 | semidirect |
| 11. #11750852 | C2 | semidirect |
| 13. C3×C5×2−1+4 | C22 | semidirect |
| 16. #92100 | C22 | semidirect |
| 21. #92098 | C22 | semidirect |
| 24. C2×D4×D15 | C22 | semidirect |
| 25. C3×C5×AGL(1,ℤ/8) | C22 | semidirect |
| 26. C3×C5×#124 | C22 | semidirect |
| 27. #91838 | C22 | semidirect |
| 28. #91836 | C22 | semidirect |
| 29. #91829 | C22 | semidirect |
| 30. #91821 | C22 | semidirect |
| 35. #91797 | C22 | semidirect |
| 36. M16×D15 | C22 | semidirect |
| 39. #91763 | C22 | semidirect |
| 40. #91761 | C22 | semidirect |
| 41. C3×C5×#104 | C22 | semidirect |
| 42. C3×C5×#101 | C22 | semidirect |
| 43. #91121 | C22 | semidirect |
| 44. #91120 | C22 | semidirect |
| 45. #91109 | C22 | semidirect |
| 46. #91107 | C22 | semidirect |
| 47. #91089 | C22 | semidirect |
| 52. C5×#454 | D3 | semidirect |
| 75. #6821 | D4 | semidirect |
| 78. Q8×D15 | D4 | semidirect |
| 81. #6819 | D4 | semidirect |
| 89. D4×D15 | D4 | semidirect |
| 127. C3×#454 | D5 | semidirect |
| 135. C5×2−1+4 | C2×D3 | semidirect |
| 147. C5×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 148. C5×#124 | C2×D3 | semidirect |
| 163. C5×#104 | C2×D3 | semidirect |
| 164. C5×#101 | C2×D3 | semidirect |
| 223. C3×2−1+4 | C2×D5 | semidirect |
| 235. C3×AGL(1,ℤ/8) | C2×D5 | semidirect |
| 236. C3×#124 | C2×D5 | semidirect |
| 251. C3×#104 | C2×D5 | semidirect |
| 252. C3×#101 | C2×D5 | semidirect |
| 328. #454 | D15 | semidirect |
| 473. 2−1+4 | C2×D15 | semidirect |
| 488. AGL(1,ℤ/8) | C2×D15 | semidirect |
| 495. #124 | C2×D15 | semidirect |
| 502. #104 | C2×D15 | semidirect |
| 504. #101 | C2×D15 | semidirect |
| 652. C3×C5 | #3021 | semidirect |
| 743. C5 | #80286 | semidirect |
| 766. C3 | #10612017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757150 | 2 |
| D15×AGL(1,ℤ/8) | 2 |
| #11756433 | 2 |
| C3×C5×#454 | 2 |
| #11751346 | 2 |
| #11751299 | 2 |
| #11751163 | 2 |
| #11750923 | 2 |
| #11750922 | 2 |
| #11750854 | 2 |
| #11750852 | 2 |
| #10612017 | 3 |
| #80286 | 5 |