| 1 | C3×C5×#510 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×#65486 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×#65473 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#64786 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C3×#64785 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#64733 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#64732 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10602314 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 9 | C3×C5×#135 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C3×C5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 11 | C3×#4094 | — | 2 | 1 | no | — |
| 12 | C3×Q8×Dic5 | — | 2 | 1 | no | — |
| 13 | C3×C5×Q32 | C4 | 1 | 2 | yes | complemented |
| 14 | C3×C5×SD32 | C4 | 1 | 2 | yes | complemented |
| 15 | C3×C5×M32 | C22 | 1 | 1 | yes | characteristic |
| 16 | C3×#3969 | — | 2 | 1 | no | — |
| 17 | C3×#3967 | — | 2 | 1 | no | — |
| 18 | C3×#3951 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×#3949 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#3947 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×#3944 | C22 | 1 | 1 | yes | characteristic |
| 22 | C3×#2180 | — | 5 | 1 | no | maximal, Hall |
| 23 | C5×#510 | C2×C3 | 1 | 1 | yes | characteristic |
| 24 | #65486 | C2×C3 | 1 | 1 | yes | characteristic |
| 25 | #65473 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 26 | #64786 | C2×C3 | 1 | 1 | yes | characteristic |
| 27 | #64785 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 28 | #64733 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 29 | #64732 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 30 | C3×C5×#41 | — | 2 | 1 | no | — |
| 31 | C2×C3×C5×Q8 | — | 2 | 1 | no | — |
| 32 | C3×C5×Q16 | — | 2 | 1 | no | — |
| 33 | C3×C5×Q16 | C2×C4 | 1 | 2 | yes | — |
| 34 | C3×C5×Q16 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C3×C5×SD16 | — | 2 | 1 | no | — |
| 36 | C3×C5×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 37 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 38 | C3×C4⋊Dic5 | — | 2 | 1 | no | — |
| 39 | C3×C4⋊Dic5 | — | 4 | 1 | no | — |
| 40 | C3×C4×Dic5 | — | 4 | 1 | no | — |
| 41 | C3×C4×Dic5 | D4 | 1 | 1 | yes | characteristic |
| 42 | C3×#681 | — | 2 | 1 | no | — |
| 43 | C3×#681 | — | 4 | 1 | no | — |
| 44 | C2×C3×#168 | — | 4 | 1 | no | — |
| 45 | C2×C3×#168 | D4 | 1 | 1 | yes | characteristic |
| 46 | C3×C5×C16 | C2×C4 | 1 | 2 | yes | — |
| 47 | C3×#672 | — | 2 | 1 | no | — |
| 48 | C3×#510 | D5 | 1 | 1 | yes | characteristic |
| 49 | C3×#444 | — | 5 | 1 | no | — |
| 50 | C3×#441 | — | 5 | 1 | no | — |
| 51 | C3×#365 | — | 5 | 1 | no | — |
| 52 | C3×#362 | — | 5 | 1 | no | — |
| 53 | C3×#360 | — | 5 | 1 | no | — |
| 54 | C3×#347 | — | 5 | 1 | no | — |
| 55 | C5×#135 | C22×C3 | 1 | 1 | yes | characteristic |
| 56 | C2×C5×Q16 | C22×C3 | 1 | 1 | yes | characteristic |
| 57 | #4094 | — | 2 | 1 | no | — |
| 58 | Q8×Dic5 | — | 2 | 1 | no | — |
| 59 | C5×Q32 | C3×C4 | 1 | 2 | yes | complemented |
| 60 | C5×SD32 | C3×C4 | 1 | 2 | yes | complemented |
| 61 | C5×M32 | C22×C3 | 1 | 1 | yes | characteristic |
| 62 | #3969 | — | 2 | 1 | no | — |
| 63 | #3967 | — | 2 | 1 | no | — |
| 64 | #3951 | C22×C3 | 1 | 1 | yes | characteristic |
| 65 | #3949 | C22×C3 | 1 | 1 | yes | characteristic |
| 66 | #3947 | C22×C3 | 1 | 1 | yes | characteristic |
| 67 | #3944 | C22×C3 | 1 | 1 | yes | characteristic |
| 68 | #2180 | — | 5 | 1 | no | Sylow |
| 69 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 70 | C3×C5×Q8 | — | 2 | 2 | no | — |
| 71 | C3×C5×Q8 | — | 4 | 1 | no | — |
| 72 | C3×C5×D4 | — | 2 | 1 | no | — |
| 73 | C3×C5×D4 | — | 4 | 1 | no | — |
| 74 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 75 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 76 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 77 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 78 | C2×C3×Dic5 | — | 4 | 1 | no | — |
| 79 | C3×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 80 | C3×C5×C8 | #41 | 1 | 1 | yes | characteristic |
| 81 | C3×#168 | — | 2 | 1 | no | — |
| 82 | C3×#168 | — | 4 | 1 | no | — |
| 83 | C3×#135 | C2×D5 | 1 | 1 | yes | characteristic |
| 84 | C2×C3×Q16 | C2×D5 | 1 | 1 | yes | characteristic |
| 85 | C3×#131 | — | 10 | 1 | no | — |
| 86 | C3×C4×Q8 | — | 10 | 1 | no | — |
| 87 | C3×Q32 | Dic5 | 1 | 2 | yes | complemented |
| 88 | C3×SD32 | Dic5 | 1 | 2 | yes | complemented |
| 89 | C3×M32 | — | 5 | 1 | no | — |
| 90 | C3×M32 | C2×D5 | 1 | 1 | yes | characteristic |
| 91 | C3×#108 | — | 5 | 1 | no | — |
| 92 | C3×#106 | — | 5 | 1 | no | — |
| 93 | C3×#104 | — | 10 | 1 | no | — |
| 94 | C3×#103 | — | 10 | 1 | no | — |
| 95 | C3×#97 | — | 5 | 1 | no | — |
| 96 | C5×#41 | — | 2 | 1 | no | — |
| 97 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 98 | C5×Q16 | — | 2 | 1 | no | — |
| 99 | C5×Q16 | C2×C3×C4 | 1 | 2 | yes | — |
| 100 | C5×Q16 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 101 | C5×SD16 | — | 2 | 1 | no | — |
| 102 | C5×D8 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 103 | C2×C5×C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 104 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 105 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 106 | C4×Dic5 | — | 4 | 1 | no | — |
| 107 | C4×Dic5 | C3×D4 | 1 | 1 | yes | characteristic |
| 108 | #681 | — | 2 | 1 | no | — |
| 109 | #681 | — | 4 | 1 | no | — |
| 110 | C2×#168 | — | 4 | 1 | no | — |
| 111 | C2×#168 | C3×D4 | 1 | 1 | yes | characteristic |
| 112 | C5×C16 | C2×C3×C4 | 1 | 2 | yes | — |
| 113 | #672 | — | 2 | 1 | no | — |
| 114 | #510 | C3×D5 | 1 | 1 | yes | characteristic |
| 115 | #444 | — | 5 | 1 | no | — |
| 116 | #441 | — | 5 | 1 | no | — |
| 117 | #365 | — | 5 | 1 | no | — |
| 118 | #362 | — | 5 | 1 | no | — |
| 119 | #360 | — | 5 | 1 | no | — |
| 120 | #347 | — | 5 | 1 | no | — |
| 121 | C22×C3×C5 | — | 4 | 1 | no | — |
| 122 | C22×C3×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 123 | C3×C4×C5 | — | 4 | 1 | no | — |
| 124 | C3×C4×C5 | — | 4 | 2 | no | — |
| 125 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 126 | C3×C4×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 127 | C3×Dic5 | — | 4 | 1 | no | — |
| 128 | C3×Dic5 | — | 8 | 1 | no | — |
| 129 | C3×#41 | — | 2 | 1 | no | — |
| 130 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 131 | C3×Q16 | — | 2 | 1 | no | — |
| 132 | C3×Q16 | C2×Dic5 | 1 | 2 | yes | — |
| 133 | C3×Q16 | C2×Dic5 | 1 | 1 | yes | characteristic |
| 134 | C3×SD16 | — | 2 | 1 | no | — |
| 135 | C3×D8 | C2×Dic5 | 1 | 1 | yes | characteristic |
| 136 | C3×M16 | — | 10 | 1 | no | — |
| 137 | C3×M16 | — | 20 | 1 | no | — |
| 138 | C2×C3×C8 | — | 5 | 1 | no | — |
| 139 | C2×C3×C8 | — | 20 | 1 | no | — |
| 140 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 141 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 142 | C3×C4⋊C4 | — | 20 | 1 | no | — |
| 143 | C3×C42 | — | 5 | 1 | no | — |
| 144 | C3×C42 | — | 20 | 1 | no | — |
| 145 | C3×C16 | — | 10 | 1 | no | — |
| 146 | C3×C16 | C2×Dic5 | 1 | 2 | yes | — |
| 147 | C5×Q8 | — | 2 | 1 | no | — |
| 148 | C5×Q8 | — | 2 | 2 | no | — |
| 149 | C5×Q8 | — | 4 | 1 | no | — |
| 150 | C5×D4 | — | 2 | 1 | no | — |
| 151 | C5×D4 | — | 4 | 1 | no | — |
| 152 | C2×C4×C5 | — | 4 | 1 | no | — |
| 153 | C2×C4×C5 | — | 4 | 1 | no | — |
| 154 | C2×C4×C5 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 155 | C2×Dic5 | — | 2 | 1 | no | — |
| 156 | C2×Dic5 | — | 4 | 1 | no | — |
| 157 | C5×C8 | C22×C3×C4 | 1 | 1 | yes | characteristic |
| 158 | C5×C8 | C3×#41 | 1 | 1 | yes | characteristic |
| 159 | #168 | — | 2 | 1 | no | — |
| 160 | #168 | — | 4 | 1 | no | — |
| 161 | #135 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 162 | C2×Q16 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 163 | #131 | — | 10 | 1 | no | — |
| 164 | C4×Q8 | — | 10 | 1 | no | — |
| 165 | Q32 | C3×Dic5 | 1 | 2 | yes | complemented |
| 166 | SD32 | C3×Dic5 | 1 | 2 | yes | complemented |
| 167 | M32 | — | 5 | 1 | no | — |
| 168 | M32 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 169 | #108 | — | 5 | 1 | no | — |
| 170 | #106 | — | 5 | 1 | no | — |
| 171 | #104 | — | 10 | 1 | no | — |
| 172 | #103 | — | 10 | 1 | no | — |
| 173 | #97 | — | 5 | 1 | no | — |
| 174 | C2×C3×C5 | — | 2 | 1 | no | — |
| 175 | C2×C3×C5 | — | 8 | 1 | no | — |
| 176 | C2×C3×C5 | #442 | 1 | 1 | yes | characteristic |
| 177 | C3×Q8 | — | 2 | 1 | no | — |
| 178 | C3×Q8 | — | 2 | 2 | no | — |
| 179 | C3×Q8 | — | 4 | 1 | no | — |
| 180 | C3×D4 | — | 2 | 1 | no | — |
| 181 | C3×D4 | — | 4 | 1 | no | — |
| 182 | C2×C3×C4 | — | 4 | 1 | no | — |
| 183 | C2×C3×C4 | — | 4 | 1 | no | — |
| 184 | C2×C3×C4 | — | 10 | 1 | no | — |
| 185 | C2×C3×C4 | — | 20 | 1 | no | — |
| 186 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 187 | C3×C8 | — | 10 | 1 | no | — |
| 188 | C3×C8 | — | 20 | 1 | no | — |
| 189 | C3×C8 | #711 | 1 | 1 | yes | characteristic |
| 190 | C3×C8 | C22×Dic5 | 1 | 1 | yes | characteristic |
| 191 | C22×C5 | — | 4 | 1 | no | — |
| 192 | C22×C5 | C3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 193 | C4×C5 | — | 4 | 1 | no | — |
| 194 | C4×C5 | — | 4 | 2 | no | — |
| 195 | C4×C5 | C3×C4×D4 | 1 | 1 | yes | characteristic |
| 196 | C4×C5 | C3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 197 | Dic5 | — | 4 | 1 | no | — |
| 198 | Dic5 | — | 8 | 1 | no | — |
| 199 | #41 | — | 2 | 1 | no | — |
| 200 | C2×Q8 | — | 2 | 1 | no | — |
| 201 | Q16 | — | 2 | 1 | no | — |
| 202 | Q16 | C2×C3×Dic5 | 1 | 2 | yes | — |
| 203 | Q16 | C2×C3×Dic5 | 1 | 1 | yes | characteristic |
| 204 | SD16 | — | 2 | 1 | no | — |
| 205 | D8 | C2×C3×Dic5 | 1 | 1 | yes | characteristic |
| 206 | M16 | — | 10 | 1 | no | — |
| 207 | M16 | — | 20 | 1 | no | — |
| 208 | C2×C8 | — | 5 | 1 | no | — |
| 209 | C2×C8 | — | 20 | 1 | no | — |
| 210 | C2×C8 | C22×C3×D5 | 1 | 1 | yes | characteristic |
| 211 | C4⋊C4 | — | 10 | 1 | no | — |
| 212 | C4⋊C4 | — | 20 | 1 | no | — |
| 213 | C42 | — | 5 | 1 | no | — |
| 214 | C42 | — | 20 | 1 | no | — |
| 215 | C16 | — | 10 | 1 | no | — |
| 216 | C16 | C2×C3×Dic5 | 1 | 2 | yes | — |
| 217 | C3×C5 | #2180 | 1 | 1 | yes | characteristic, complemented, Hall |
| 218 | C22×C3 | — | 4 | 1 | no | — |
| 219 | C22×C3 | #4057 | 1 | 1 | yes | characteristic |
| 220 | C3×C4 | — | 4 | 1 | no | — |
| 221 | C3×C4 | — | 4 | 2 | no | — |
| 222 | C3×C4 | — | 20 | 1 | no | — |
| 223 | C3×C4 | — | 40 | 1 | no | — |
| 224 | C3×C4 | #4057 | 1 | 1 | yes | characteristic |
| 225 | C3×C4 | D4×Dic5 | 1 | 1 | yes | characteristic |
| 226 | C2×C5 | — | 2 | 1 | no | — |
| 227 | C2×C5 | — | 8 | 1 | no | — |
| 228 | C2×C5 | C3×#442 | 1 | 1 | yes | characteristic |
| 229 | Q8 | — | 2 | 1 | no | — |
| 230 | Q8 | — | 2 | 2 | no | — |
| 231 | Q8 | — | 4 | 1 | no | — |
| 232 | D4 | — | 2 | 1 | no | — |
| 233 | D4 | — | 4 | 1 | no | — |
| 234 | C2×C4 | — | 4 | 1 | no | — |
| 235 | C2×C4 | — | 4 | 1 | no | — |
| 236 | C2×C4 | — | 10 | 1 | no | — |
| 237 | C2×C4 | — | 20 | 1 | no | — |
| 238 | C2×C4 | C3×D4×D5 | 1 | 1 | yes | characteristic |
| 239 | C8 | — | 10 | 1 | no | — |
| 240 | C8 | — | 20 | 1 | no | — |
| 241 | C8 | C3×#711 | 1 | 1 | yes | characteristic |
| 242 | C8 | C22×C3×Dic5 | 1 | 1 | yes | characteristic |
| 243 | C2×C3 | — | 2 | 1 | no | — |
| 244 | C2×C3 | — | 8 | 1 | no | — |
| 245 | C2×C3 | #65441 | 1 | 1 | yes | characteristic |
| 246 | C5 | C3×#2180 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 247 | C22 | — | 4 | 1 | no | — |
| 248 | C22 | C3×#4057 | 1 | 1 | yes | characteristic |
| 249 | C4 | — | 4 | 1 | no | — |
| 250 | C4 | — | 4 | 2 | no | — |
| 251 | C4 | — | 20 | 1 | no | — |
| 252 | C4 | — | 40 | 1 | no | — |
| 253 | C4 | C3×#4057 | 1 | 1 | yes | characteristic |
| 254 | C4 | C3×D4×Dic5 | 1 | 1 | yes | characteristic |
| 255 | C3 | #10602314 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 256 | C2 | — | 2 | 1 | no | — |
| 257 | C2 | — | 8 | 1 | no | — |
| 258 | C2 | C3×#65441 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta