| 1 | C2×C3×#4131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D5⋊#901 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11754690 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11752428 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751954 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11751953 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11751952 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11751951 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11751732 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11751717 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11751694 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10617448 | — | 3 | 1 | no | maximal, Hall |
| 13 | C2×C3×#711 | C22 | 1 | 1 | yes | characteristic |
| 14 | D5×#235 | C22 | 1 | 1 | yes | characteristic |
| 15 | #91989 | C22 | 1 | 1 | yes | characteristic |
| 16 | D5⋊#208 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C3×#704 | — | 2 | 1 | no | — |
| 18 | C22×C3×#170 | — | 2 | 1 | no | — |
| 19 | C3×#4131 | — | 2 | 1 | no | — |
| 20 | C3×#4131 | — | 2 | 1 | no | — |
| 21 | C3×#4131 | C22 | 1 | 2 | yes | complemented |
| 22 | C3×#4131 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×C3×#700 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C3×D5⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 25 | #91927 | — | 2 | 1 | no | — |
| 26 | #91927 | — | 2 | 1 | no | — |
| 27 | D5⋊ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 28 | #91914 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #91914 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #91911 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #91911 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | D3×D5⋊C8 | — | 2 | 1 | no | — |
| 33 | #91821 | C4 | 1 | 1 | yes | characteristic, complemented |
| 34 | C5×#932 | C4 | 1 | 1 | yes | characteristic, complemented |
| 35 | #91492 | C22 | 1 | 2 | yes | — |
| 36 | #91490 | C22 | 1 | 2 | yes | — |
| 37 | #91484 | C4 | 1 | 2 | yes | complemented |
| 38 | #91478 | C4 | 1 | 2 | yes | complemented |
| 39 | #91315 | C4 | 1 | 1 | yes | characteristic, complemented |
| 40 | #91309 | C4 | 1 | 1 | yes | characteristic, complemented |
| 41 | D5×#208 | C22 | 1 | 1 | yes | characteristic |
| 42 | #91237 | C22 | 1 | 2 | yes | complemented |
| 43 | #91237 | C22 | 1 | 2 | yes | complemented |
| 44 | #91162 | C22 | 1 | 2 | yes | complemented |
| 45 | #91161 | C22 | 1 | 2 | yes | complemented |
| 46 | #91157 | C22 | 1 | 2 | yes | complemented |
| 47 | #91155 | C22 | 1 | 2 | yes | complemented |
| 48 | #91150 | C22 | 1 | 2 | yes | complemented |
| 49 | ΓL(1,𝔽16)⋊C8 | C22 | 1 | 2 | yes | complemented |
| 50 | #83792 | — | 5 | 1 | no | maximal, Hall |
| 51 | D5⋊#131 | — | 3 | 1 | no | — |
| 52 | C2×#4131 | D3 | 1 | 1 | yes | characteristic, complemented |
| 53 | #66107 | — | 3 | 1 | no | — |
| 54 | #65795 | — | 3 | 1 | no | — |
| 55 | #65769 | — | 3 | 1 | no | — |
| 56 | #65737 | — | 3 | 2 | no | — |
| 57 | #65736 | — | 3 | 2 | no | — |
| 58 | #65733 | — | 3 | 2 | no | — |
| 59 | #65732 | — | 3 | 2 | no | — |
| 60 | #65729 | — | 3 | 1 | no | — |
| 61 | #65728 | — | 3 | 1 | no | — |
| 62 | C2×C3×C5×D4 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | #6817 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | C5×#235 | C2×C4 | 1 | 1 | yes | characteristic |
| 65 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 66 | C22×C3×Dic5 | — | 2 | 1 | no | — |
| 67 | C3×#711 | — | 2 | 1 | no | — |
| 68 | C3×#711 | — | 2 | 1 | no | — |
| 69 | C3×#711 | C2×C4 | 1 | 2 | yes | — |
| 70 | C3×#711 | C23 | 1 | 2 | yes | — |
| 71 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×C3×Dic10 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | D5×#67 | — | 2 | 1 | no | — |
| 74 | #6782 | — | 2 | 1 | no | — |
| 75 | D5×D12 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | C4×D3×D5 | — | 2 | 1 | no | — |
| 77 | #6773 | C23 | 1 | 1 | yes | characteristic |
| 78 | #6772 | C23 | 1 | 1 | yes | characteristic |
| 79 | #6771 | — | 2 | 1 | no | — |
| 80 | D5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | #6763 | — | 2 | 1 | no | — |
| 82 | #6762 | — | 2 | 1 | no | — |
| 83 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 84 | C4×ΓL(1,𝔽16) | C23 | 1 | 2 | yes | — |
| 85 | #6758 | C23 | 1 | 1 | yes | characteristic |
| 86 | #6758 | C23 | 1 | 1 | yes | characteristic |
| 87 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 88 | C3×#704 | — | 2 | 2 | no | — |
| 89 | C3×#704 | — | 2 | 2 | no | — |
| 90 | C2×C3×#170 | — | 2 | 1 | no | — |
| 91 | C2×C3×#170 | — | 2 | 2 | no | — |
| 92 | C2×C3×#170 | — | 2 | 2 | no | — |
| 93 | C2×C3×#170 | D4 | 1 | 1 | yes | characteristic |
| 94 | C2×C3×#170 | D4 | 1 | 1 | yes | characteristic |
| 95 | C3×#700 | — | 2 | 1 | no | — |
| 96 | C3×#700 | C23 | 1 | 2 | yes | — |
| 97 | C3×D5⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 98 | C3×D5⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 99 | C3×D5⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 100 | C3×D5⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 101 | #6740 | — | 2 | 1 | no | — |
| 102 | #6740 | — | 2 | 1 | no | — |
| 103 | #6739 | — | 2 | 1 | no | — |
| 104 | #6739 | — | 2 | 1 | no | — |
| 105 | #6738 | — | 2 | 1 | no | — |
| 106 | #6738 | — | 2 | 1 | no | — |
| 107 | D3×#170 | — | 2 | 1 | no | — |
| 108 | D3×#170 | — | 2 | 1 | no | — |
| 109 | #6716 | C2×C4 | 1 | 2 | yes | — |
| 110 | #6715 | C2×C4 | 1 | 2 | yes | — |
| 111 | #6710 | C2×C4 | 1 | 1 | yes | characteristic |
| 112 | C5×#214 | C2×C4 | 1 | 2 | yes | — |
| 113 | C5×#213 | C2×C4 | 1 | 2 | yes | — |
| 114 | C5×#208 | C2×C4 | 1 | 1 | yes | characteristic |
| 115 | #6662 | C2×C4 | 1 | 2 | yes | — |
| 116 | #6661 | C2×C4 | 1 | 2 | yes | — |
| 117 | #6658 | C2×C4 | 1 | 2 | yes | — |
| 118 | #6656 | C2×C4 | 1 | 2 | yes | — |
| 119 | #6649 | C2×C4 | 1 | 2 | yes | — |
| 120 | D5×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 121 | C2×C3×#131 | — | 5 | 1 | no | — |
| 122 | #5822 | — | 5 | 1 | no | — |
| 123 | C2×#901 | — | 5 | 1 | no | — |
| 124 | #5236 | — | 5 | 1 | no | — |
| 125 | #5145 | — | 5 | 2 | no | — |
| 126 | #5145 | — | 5 | 2 | no | — |
| 127 | #5144 | — | 5 | 2 | no | — |
| 128 | #5144 | — | 5 | 2 | no | — |
| 129 | #5139 | — | 5 | 1 | no | — |
| 130 | #5124 | — | 5 | 1 | no | — |
| 131 | #5101 | — | 5 | 1 | no | — |
| 132 | D5×#41 | — | 3 | 1 | no | — |
| 133 | C2×#711 | C2×D3 | 1 | 1 | yes | characteristic |
| 134 | C2×#704 | — | 2 | 1 | no | — |
| 135 | C22×#170 | — | 2 | 1 | no | — |
| 136 | #4133 | — | 3 | 1 | no | — |
| 137 | #4133 | — | 3 | 1 | no | — |
| 138 | #4131 | — | 2 | 1 | no | — |
| 139 | #4131 | — | 2 | 1 | no | — |
| 140 | #4131 | — | 3 | 1 | no | — |
| 141 | #4131 | — | 3 | 1 | no | — |
| 142 | #4131 | — | 6 | 1 | no | — |
| 143 | #4131 | — | 6 | 1 | no | — |
| 144 | #4131 | C2×D3 | 1 | 2 | yes | complemented |
| 145 | #4131 | C2×D3 | 1 | 2 | yes | complemented |
| 146 | #4130 | — | 3 | 1 | no | — |
| 147 | D5⋊M16 | — | 3 | 1 | no | — |
| 148 | D5⋊M16 | — | 6 | 1 | no | — |
| 149 | C2×#700 | C2×D3 | 1 | 1 | yes | characteristic |
| 150 | C2×D5⋊C8 | — | 6 | 1 | no | — |
| 151 | C2×D5⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 152 | C5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 153 | #4097 | — | 3 | 1 | no | — |
| 154 | #4078 | — | 3 | 1 | no | — |
| 155 | #4062 | — | 3 | 2 | no | — |
| 156 | #4061 | — | 3 | 2 | no | — |
| 157 | #4058 | — | 3 | 2 | no | — |
| 158 | #4057 | — | 3 | 2 | no | — |
| 159 | #4055 | — | 3 | 1 | no | — |
| 160 | D5×M16 | — | 3 | 1 | no | — |
| 161 | #4010 | — | 3 | 2 | no | — |
| 162 | #4008 | — | 3 | 2 | no | — |
| 163 | #4008 | — | 3 | 2 | no | — |
| 164 | #4008 | — | 3 | 2 | no | — |
| 165 | #3996 | — | 3 | 2 | no | — |
| 166 | #3995 | — | 3 | 2 | no | — |
| 167 | #3992 | — | 3 | 2 | no | — |
| 168 | C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 169 | #2955 | — | 15 | 1 | no | Sylow |
| 170 | C23×C3×C5 | — | 2 | 1 | no | — |
| 171 | C22×C3×D5 | #41 | 1 | 1 | yes | characteristic |
| 172 | C2×D3×D5 | — | 2 | 1 | no | — |
| 173 | C2×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 174 | C3×C5×D4 | — | 2 | 1 | no | — |
| 175 | C3×C5×D4 | C22×C4 | 1 | 2 | yes | — |
| 176 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 177 | #1220 | — | 2 | 1 | no | — |
| 178 | D60 | C22×C4 | 1 | 1 | yes | characteristic |
| 179 | C4×D15 | — | 2 | 1 | no | — |
| 180 | Dic30 | C22×C4 | 1 | 1 | yes | characteristic |
| 181 | C5×#67 | — | 2 | 1 | no | — |
| 182 | C5×D12 | C22×C4 | 1 | 1 | yes | characteristic |
| 183 | C4×C5×D3 | — | 2 | 1 | no | — |
| 184 | C5×Dic6 | C22×C4 | 1 | 1 | yes | characteristic |
| 185 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 186 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 187 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 188 | C2×C3×Dic5 | — | 2 | 2 | no | — |
| 189 | C2×C3×Dic5 | — | 2 | 2 | no | — |
| 190 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 192 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C3×C4×D5 | #41 | 1 | 1 | yes | characteristic |
| 194 | C3×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 195 | C3×Dic10 | — | 2 | 1 | no | — |
| 196 | C3×Dic10 | C22×C4 | 1 | 2 | yes | — |
| 197 | #1204 | — | 2 | 1 | no | — |
| 198 | #1203 | — | 2 | 1 | no | — |
| 199 | #1202 | — | 2 | 1 | no | — |
| 200 | #1201 | — | 2 | 1 | no | — |
| 201 | #1200 | — | 2 | 1 | no | — |
| 202 | D3×Dic5 | — | 2 | 1 | no | — |
| 203 | D5×Dic3 | — | 2 | 1 | no | — |
| 204 | C3⋊#170 | — | 2 | 1 | no | — |
| 205 | C3⋊#170 | — | 2 | 1 | no | — |
| 206 | C3×#170 | — | 2 | 2 | no | — |
| 207 | C3×#170 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C3×#170 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C3×#170 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C3×#170 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C3⋊#168 | C22×C4 | 1 | 2 | yes | — |
| 212 | C5×C3⋊C8 | C22×C4 | 1 | 2 | yes | — |
| 213 | C2×C3×#41 | — | 5 | 1 | no | — |
| 214 | C2×#235 | — | 5 | 1 | no | — |
| 215 | C3×#131 | — | 5 | 2 | no | — |
| 216 | C3×#131 | — | 5 | 2 | no | — |
| 217 | C3×#131 | — | 10 | 1 | no | — |
| 218 | C3×#131 | — | 10 | 1 | no | — |
| 219 | C2×C3×M16 | — | 5 | 1 | no | — |
| 220 | C2×C3×M16 | — | 10 | 1 | no | — |
| 221 | C22×C3×C8 | — | 5 | 1 | no | — |
| 222 | C22×C3×C8 | — | 10 | 1 | no | — |
| 223 | #951 | — | 5 | 2 | no | — |
| 224 | #950 | — | 5 | 2 | no | — |
| 225 | #950 | — | 5 | 2 | no | — |
| 226 | #949 | — | 5 | 2 | no | — |
| 227 | #942 | — | 5 | 1 | no | — |
| 228 | #942 | — | 5 | 1 | no | — |
| 229 | #932 | — | 5 | 1 | no | — |
| 230 | #932 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 231 | #926 | — | 5 | 1 | no | — |
| 232 | C2×#208 | — | 5 | 1 | no | — |
| 233 | C2×#208 | — | 5 | 1 | no | — |
| 234 | #901 | — | 5 | 1 | no | — |
| 235 | #901 | — | 5 | 1 | no | — |
| 236 | #901 | — | 5 | 1 | no | — |
| 237 | #901 | — | 5 | 1 | no | — |
| 238 | #901 | — | 10 | 1 | no | — |
| 239 | #901 | — | 10 | 1 | no | — |
| 240 | C2×ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 241 | C2×D3×C8 | — | 10 | 1 | no | — |
| 242 | #837 | — | 5 | 2 | no | — |
| 243 | #837 | — | 5 | 2 | no | — |
| 244 | #825 | — | 5 | 2 | no | — |
| 245 | #825 | — | 5 | 2 | no | — |
| 246 | #822 | — | 5 | 2 | no | — |
| 247 | #822 | — | 5 | 2 | no | — |
| 248 | #815 | — | 5 | 2 | no | — |
| 249 | C8×Dic3 | — | 5 | 2 | no | — |
| 250 | C5×#41 | — | 3 | 1 | no | — |
| 251 | C2×C5×D4 | C4×D3 | 1 | 1 | yes | characteristic |
| 252 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 253 | C22×Dic5 | — | 2 | 1 | no | — |
| 254 | #713 | — | 3 | 1 | no | — |
| 255 | Q8×D5 | — | 3 | 1 | no | — |
| 256 | #711 | — | 2 | 1 | no | — |
| 257 | #711 | — | 2 | 1 | no | — |
| 258 | #711 | — | 3 | 1 | no | — |
| 259 | #711 | — | 6 | 1 | no | — |
| 260 | #711 | C4×D3 | 1 | 2 | yes | — |
| 261 | #711 | C22×D3 | 1 | 2 | yes | — |
| 262 | D4×D5 | — | 3 | 1 | no | — |
| 263 | D4×D5 | — | 6 | 1 | no | — |
| 264 | #709 | — | 3 | 1 | no | — |
| 265 | #709 | — | 6 | 1 | no | — |
| 266 | C2×C4×D5 | — | 6 | 1 | no | — |
| 267 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 268 | C2×Dic10 | C4×D3 | 1 | 1 | yes | characteristic |
| 269 | C22⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 270 | #704 | — | 2 | 2 | no | — |
| 271 | #704 | — | 2 | 2 | no | — |
| 272 | #704 | — | 6 | 1 | no | — |
| 273 | #704 | — | 6 | 1 | no | — |
| 274 | #704 | — | 6 | 1 | no | — |
| 275 | C2×#170 | — | 2 | 1 | no | — |
| 276 | C2×#170 | — | 2 | 2 | no | — |
| 277 | C2×#170 | — | 2 | 2 | no | — |
| 278 | C2×#170 | — | 6 | 1 | no | — |
| 279 | C2×#170 | — | 6 | 1 | no | — |
| 280 | C2×#170 | #67 | 1 | 1 | yes | characteristic |
| 281 | C2×#170 | #67 | 1 | 1 | yes | characteristic |
| 282 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 283 | C4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 284 | #700 | — | 2 | 1 | no | — |
| 285 | #700 | — | 3 | 1 | no | — |
| 286 | #700 | — | 3 | 1 | no | — |
| 287 | #700 | — | 6 | 1 | no | — |
| 288 | #700 | — | 6 | 1 | no | — |
| 289 | #700 | C22×D3 | 1 | 2 | yes | — |
| 290 | D5⋊C8 | — | 6 | 1 | no | — |
| 291 | D5⋊C8 | — | 6 | 1 | no | — |
| 292 | D5⋊C8 | — | 6 | 1 | no | — |
| 293 | D5⋊C8 | #67 | 1 | 1 | yes | characteristic |
| 294 | D5⋊C8 | #67 | 1 | 1 | yes | characteristic |
| 295 | D5⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 296 | D5⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 297 | C5×SD16 | — | 3 | 2 | no | — |
| 298 | C5×D8 | — | 3 | 2 | no | — |
| 299 | C5×M16 | — | 3 | 1 | no | — |
| 300 | #689 | — | 3 | 2 | no | — |
| 301 | #687 | — | 3 | 2 | no | — |
| 302 | #687 | — | 3 | 2 | no | — |
| 303 | #686 | — | 3 | 2 | no | — |
| 304 | #681 | — | 3 | 1 | no | — |
| 305 | Dic20 | — | 3 | 2 | no | — |
| 306 | #677 | — | 3 | 2 | no | — |
| 307 | #676 | — | 3 | 2 | no | — |
| 308 | C8×D5 | — | 3 | 2 | no | — |
| 309 | #575 | — | 15 | 1 | no | — |
| 310 | C2×#131 | — | 5 | 1 | no | — |
| 311 | C2×#131 | — | 15 | 1 | no | — |
| 312 | #444 | — | 15 | 2 | no | — |
| 313 | #444 | — | 15 | 2 | no | — |
| 314 | #443 | — | 15 | 2 | no | — |
| 315 | #443 | — | 15 | 2 | no | — |
| 316 | #430 | — | 15 | 1 | no | — |
| 317 | #421 | — | 15 | 1 | no | — |
| 318 | #421 | — | 15 | 1 | no | — |
| 319 | #405 | — | 15 | 1 | no | — |
| 320 | C22×C3×C5 | — | 2 | 2 | no | — |
| 321 | C22×C3×C5 | — | 4 | 2 | no | — |
| 322 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 323 | C2×D15 | — | 2 | 1 | no | — |
| 324 | C2×C5×D3 | — | 2 | 1 | no | — |
| 325 | C2×C3×D5 | — | 4 | 1 | no | — |
| 326 | C2×C3×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 327 | C2×C3×D5 | C2×#41 | 1 | 1 | yes | characteristic |
| 328 | D3×D5 | — | 4 | 2 | no | — |
| 329 | ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 330 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 331 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 332 | Dic15 | — | 2 | 1 | no | — |
| 333 | C3×Dic5 | — | 2 | 2 | no | — |
| 334 | C3×Dic5 | C4×D4 | 1 | 1 | yes | characteristic |
| 335 | C3×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 336 | C5×Dic3 | — | 2 | 1 | no | — |
| 337 | C3×#41 | — | 5 | 2 | no | — |
| 338 | C3×#41 | — | 5 | 2 | no | — |
| 339 | C3×#41 | — | 10 | 1 | no | — |
| 340 | C3×#41 | — | 10 | 1 | no | — |
| 341 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 342 | C2×C3×D4 | — | 10 | 1 | no | — |
| 343 | C2×C3×D4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 344 | C22×C3×C4 | — | 5 | 1 | no | — |
| 345 | C22×C3×C4 | — | 10 | 1 | no | — |
| 346 | C2×#67 | — | 10 | 1 | no | — |
| 347 | #235 | — | 5 | 1 | no | — |
| 348 | #235 | — | 5 | 1 | no | — |
| 349 | #235 | — | 5 | 1 | no | — |
| 350 | #235 | — | 10 | 1 | no | — |
| 351 | #235 | — | 10 | 1 | no | — |
| 352 | #235 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 353 | C2×D12 | — | 5 | 1 | no | — |
| 354 | C2×C4×D3 | — | 10 | 1 | no | — |
| 355 | C2×Dic6 | — | 5 | 1 | no | — |
| 356 | C3×M16 | — | 5 | 2 | no | — |
| 357 | C3×M16 | — | 10 | 2 | no | — |
| 358 | C3×M16 | — | 10 | 2 | no | — |
| 359 | C3×M16 | — | 10 | 1 | no | — |
| 360 | C2×C3×C8 | — | 5 | 1 | no | — |
| 361 | C2×C3×C8 | — | 5 | 1 | no | — |
| 362 | C2×C3×C8 | — | 5 | 1 | no | — |
| 363 | C2×C3×C8 | — | 5 | 1 | no | — |
| 364 | C2×C3×C8 | — | 5 | 1 | no | — |
| 365 | C2×C3×C8 | — | 5 | 1 | no | — |
| 366 | C2×C3×C8 | — | 10 | 2 | no | — |
| 367 | C2×C3×C8 | — | 10 | 2 | no | — |
| 368 | C2×C3×C8 | — | 10 | 1 | no | — |
| 369 | #217 | — | 10 | 1 | no | — |
| 370 | #216 | — | 5 | 2 | no | — |
| 371 | #216 | — | 5 | 2 | no | — |
| 372 | #215 | — | 5 | 2 | no | — |
| 373 | #215 | — | 5 | 2 | no | — |
| 374 | #214 | — | 5 | 2 | no | — |
| 375 | #214 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 376 | #213 | — | 5 | 2 | no | — |
| 377 | #213 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 378 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 379 | C4×Dic3 | — | 5 | 2 | no | — |
| 380 | #208 | — | 5 | 1 | no | — |
| 381 | #208 | — | 5 | 2 | no | — |
| 382 | #208 | — | 5 | 1 | no | — |
| 383 | #208 | — | 5 | 1 | no | — |
| 384 | #208 | — | 10 | 1 | no | — |
| 385 | #208 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 386 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 387 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 388 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 389 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 390 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 391 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 392 | D3×C8 | — | 10 | 1 | no | — |
| 393 | D3×C8 | — | 10 | 1 | no | — |
| 394 | D3×C8 | — | 10 | 1 | no | — |
| 395 | D3×C8 | — | 10 | 1 | no | — |
| 396 | C23×C5 | — | 2 | 1 | no | — |
| 397 | C22×D5 | — | 6 | 1 | no | — |
| 398 | C22×D5 | #235 | 1 | 1 | yes | characteristic |
| 399 | C2×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 400 | C5×Q8 | — | 3 | 1 | no | — |
| 401 | C5×D4 | — | 2 | 1 | no | — |
| 402 | C5×D4 | — | 3 | 1 | no | — |
| 403 | C5×D4 | — | 6 | 1 | no | — |
| 404 | C5×D4 | C2×C4×D3 | 1 | 2 | yes | — |
| 405 | C2×C4×C5 | — | 6 | 1 | no | — |
| 406 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 407 | C22⋊D5 | — | 2 | 2 | no | — |
| 408 | C22⋊D5 | — | 2 | 2 | no | — |
| 409 | C22⋊D5 | — | 6 | 1 | no | — |
| 410 | C22⋊D5 | — | 6 | 1 | no | — |
| 411 | C22⋊D5 | — | 6 | 1 | no | — |
| 412 | C2×Dic5 | — | 2 | 1 | no | — |
| 413 | C2×Dic5 | — | 2 | 2 | no | — |
| 414 | C2×Dic5 | — | 2 | 2 | no | — |
| 415 | C2×Dic5 | — | 6 | 1 | no | — |
| 416 | C2×Dic5 | C2×#67 | 1 | 1 | yes | characteristic |
| 417 | D20 | — | 3 | 1 | no | — |
| 418 | D20 | — | 6 | 1 | no | — |
| 419 | C4×D5 | — | 6 | 1 | no | — |
| 420 | C4×D5 | — | 6 | 1 | no | — |
| 421 | C4×D5 | — | 6 | 1 | no | — |
| 422 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 423 | C4×D5 | #235 | 1 | 1 | yes | characteristic |
| 424 | C4×D5 | C2×#67 | 1 | 1 | yes | characteristic |
| 425 | C4×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 426 | Dic10 | — | 2 | 1 | no | — |
| 427 | Dic10 | — | 3 | 1 | no | — |
| 428 | Dic10 | — | 6 | 1 | no | — |
| 429 | Dic10 | C2×C4×D3 | 1 | 2 | yes | — |
| 430 | #170 | — | 2 | 2 | no | — |
| 431 | #170 | — | 6 | 1 | no | — |
| 432 | #170 | — | 6 | 1 | no | — |
| 433 | #170 | C2×#67 | 1 | 1 | yes | characteristic |
| 434 | #170 | C2×#67 | 1 | 1 | yes | characteristic |
| 435 | #170 | C2×#67 | 1 | 1 | yes | characteristic |
| 436 | #170 | C2×#67 | 1 | 1 | yes | characteristic |
| 437 | C5×C8 | — | 3 | 2 | no | — |
| 438 | #168 | — | 3 | 2 | no | — |
| 439 | C2×#41 | — | 5 | 1 | no | — |
| 440 | C2×#41 | — | 15 | 1 | no | — |
| 441 | #137 | — | 15 | 1 | no | — |
| 442 | #137 | — | 15 | 2 | no | — |
| 443 | #137 | — | 15 | 1 | no | — |
| 444 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 445 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 446 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 447 | #135 | — | 15 | 2 | no | — |
| 448 | #135 | — | 15 | 2 | no | — |
| 449 | #131 | — | 5 | 2 | no | — |
| 450 | #131 | — | 5 | 2 | no | — |
| 451 | #131 | — | 10 | 1 | no | — |
| 452 | #131 | — | 10 | 1 | no | — |
| 453 | #131 | — | 15 | 1 | no | — |
| 454 | #131 | — | 15 | 1 | no | — |
| 455 | #131 | — | 15 | 1 | no | — |
| 456 | #131 | — | 15 | 1 | no | — |
| 457 | #131 | — | 30 | 1 | no | — |
| 458 | #131 | — | 30 | 1 | no | — |
| 459 | C2×M16 | — | 5 | 1 | no | — |
| 460 | C2×M16 | — | 10 | 1 | no | — |
| 461 | C2×M16 | — | 15 | 1 | no | — |
| 462 | C2×M16 | — | 15 | 1 | no | — |
| 463 | C2×M16 | — | 30 | 1 | no | — |
| 464 | C22×C8 | — | 5 | 1 | no | — |
| 465 | C22×C8 | — | 10 | 1 | no | — |
| 466 | C22×C8 | — | 30 | 1 | no | — |
| 467 | #117 | — | 15 | 1 | no | — |
| 468 | #108 | — | 15 | 2 | no | — |
| 469 | #108 | — | 15 | 2 | no | — |
| 470 | #104 | — | 15 | 2 | no | — |
| 471 | #104 | — | 15 | 2 | no | — |
| 472 | #104 | — | 15 | 2 | no | — |
| 473 | #104 | — | 15 | 2 | no | — |
| 474 | #97 | — | 15 | 2 | no | — |
| 475 | C4×C8 | — | 15 | 2 | no | — |
| 476 | C2×C3×C5 | — | 2 | 1 | no | — |
| 477 | C2×C3×C5 | — | 4 | 2 | no | — |
| 478 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 479 | D15 | — | 4 | 1 | no | — |
| 480 | C3×D5 | — | 2 | 1 | no | — |
| 481 | C3×D5 | — | 2 | 1 | no | — |
| 482 | C5×D3 | — | 4 | 1 | no | — |
| 483 | C23×C3 | — | 2 | 1 | no | — |
| 484 | C23×C3 | — | 5 | 1 | no | — |
| 485 | C22×D3 | — | 10 | 1 | no | — |
| 486 | C3×Q8 | — | 5 | 2 | no | — |
| 487 | C3×Q8 | — | 10 | 1 | no | — |
| 488 | C3×D4 | — | 2 | 1 | no | — |
| 489 | C3×D4 | — | 10 | 2 | no | — |
| 490 | C3×D4 | — | 10 | 2 | no | — |
| 491 | C3×D4 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 492 | C2×C3×C4 | — | 5 | 1 | no | — |
| 493 | C2×C3×C4 | — | 5 | 1 | no | — |
| 494 | C2×C3×C4 | — | 5 | 1 | no | — |
| 495 | C2×C3×C4 | — | 5 | 1 | no | — |
| 496 | C2×C3×C4 | — | 5 | 1 | no | — |
| 497 | C2×C3×C4 | — | 10 | 2 | no | — |
| 498 | C2×C3×C4 | — | 10 | 2 | no | — |
| 499 | C2×C3×C4 | — | 10 | 1 | no | — |
| 500 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 501 | #67 | — | 2 | 1 | no | — |
| 502 | #67 | — | 10 | 1 | no | — |
| 503 | #67 | — | 10 | 1 | no | — |
| 504 | #67 | — | 10 | 1 | no | — |
| 505 | C2×Dic3 | — | 10 | 1 | no | — |
| 506 | C2×Dic3 | — | 10 | 2 | no | — |
| 507 | D12 | — | 5 | 1 | no | — |
| 508 | D12 | — | 10 | 1 | no | — |
| 509 | D12 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 510 | C4×D3 | — | 2 | 1 | no | — |
| 511 | C4×D3 | — | 10 | 1 | no | — |
| 512 | C4×D3 | — | 10 | 1 | no | — |
| 513 | C4×D3 | — | 10 | 1 | no | — |
| 514 | Dic6 | — | 5 | 1 | no | — |
| 515 | Dic6 | — | 10 | 1 | no | — |
| 516 | Dic6 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 517 | C3×C8 | — | 5 | 1 | no | — |
| 518 | C3×C8 | — | 5 | 1 | no | — |
| 519 | C3×C8 | — | 5 | 1 | no | — |
| 520 | C3×C8 | — | 5 | 1 | no | — |
| 521 | C3×C8 | — | 10 | 2 | no | — |
| 522 | C3⋊C8 | — | 5 | 2 | no | — |
| 523 | C3⋊C8 | — | 10 | 1 | no | — |
| 524 | C3⋊C8 | — | 10 | 1 | no | — |
| 525 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 526 | C22×C5 | — | 2 | 2 | no | — |
| 527 | C22×C5 | — | 4 | 2 | no | — |
| 528 | C22×C5 | — | 6 | 1 | no | — |
| 529 | C22×C5 | C4×#67 | 1 | 1 | yes | characteristic |
| 530 | C2×D5 | — | 4 | 1 | no | — |
| 531 | C2×D5 | — | 6 | 1 | no | — |
| 532 | C2×D5 | — | 12 | 2 | no | — |
| 533 | C2×D5 | C4×#67 | 1 | 1 | yes | characteristic |
| 534 | C2×D5 | C2×#235 | 1 | 1 | yes | characteristic |
| 535 | AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 536 | C4×C5 | — | 6 | 1 | no | — |
| 537 | C4×C5 | C4×#67 | 1 | 1 | yes | characteristic |
| 538 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 539 | Dic5 | — | 2 | 2 | no | — |
| 540 | Dic5 | — | 6 | 1 | no | — |
| 541 | Dic5 | C4×#67 | 1 | 1 | yes | characteristic |
| 542 | Dic5 | C22×#67 | 1 | 1 | yes | characteristic |
| 543 | #41 | — | 3 | 1 | no | — |
| 544 | #41 | — | 5 | 2 | no | — |
| 545 | #41 | — | 5 | 2 | no | — |
| 546 | #41 | — | 10 | 1 | no | — |
| 547 | #41 | — | 10 | 1 | no | — |
| 548 | #41 | — | 15 | 1 | no | — |
| 549 | #41 | — | 15 | 1 | no | — |
| 550 | #41 | — | 15 | 1 | no | — |
| 551 | #41 | — | 30 | 1 | no | — |
| 552 | #41 | — | 30 | 1 | no | — |
| 553 | C2×Q8 | — | 5 | 1 | no | — |
| 554 | C2×Q8 | — | 15 | 1 | no | — |
| 555 | C2×D4 | — | 10 | 1 | no | — |
| 556 | C2×D4 | — | 15 | 1 | no | — |
| 557 | C2×D4 | — | 30 | 1 | no | — |
| 558 | C2×D4 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 559 | C22×C4 | — | 5 | 1 | no | — |
| 560 | C22×C4 | — | 10 | 1 | no | — |
| 561 | C22×C4 | — | 30 | 1 | no | — |
| 562 | Q16 | — | 15 | 2 | no | — |
| 563 | Q16 | — | 15 | 2 | no | — |
| 564 | SD16 | — | 3 | 2 | no | — |
| 565 | SD16 | — | 15 | 2 | no | — |
| 566 | SD16 | — | 15 | 2 | no | — |
| 567 | SD16 | — | 15 | 2 | no | — |
| 568 | D8 | — | 3 | 2 | no | — |
| 569 | D8 | — | 15 | 2 | no | — |
| 570 | M16 | — | 3 | 1 | no | — |
| 571 | M16 | — | 5 | 2 | no | — |
| 572 | M16 | — | 10 | 2 | no | — |
| 573 | M16 | — | 10 | 2 | no | — |
| 574 | M16 | — | 10 | 1 | no | — |
| 575 | M16 | — | 15 | 2 | no | — |
| 576 | M16 | — | 15 | 1 | no | — |
| 577 | M16 | — | 15 | 1 | no | — |
| 578 | M16 | — | 15 | 1 | no | — |
| 579 | M16 | — | 30 | 1 | no | — |
| 580 | M16 | — | 30 | 1 | no | — |
| 581 | M16 | — | 30 | 1 | no | — |
| 582 | M16 | — | 30 | 1 | no | — |
| 583 | M16 | — | 30 | 1 | no | — |
| 584 | C2×C8 | — | 5 | 1 | no | — |
| 585 | C2×C8 | — | 5 | 1 | no | — |
| 586 | C2×C8 | — | 5 | 1 | no | — |
| 587 | C2×C8 | — | 5 | 1 | no | — |
| 588 | C2×C8 | — | 5 | 1 | no | — |
| 589 | C2×C8 | — | 5 | 1 | no | — |
| 590 | C2×C8 | — | 10 | 2 | no | — |
| 591 | C2×C8 | — | 10 | 2 | no | — |
| 592 | C2×C8 | — | 10 | 1 | no | — |
| 593 | C2×C8 | — | 15 | 2 | no | — |
| 594 | C2×C8 | — | 30 | 1 | no | — |
| 595 | C2×C8 | — | 30 | 1 | no | — |
| 596 | C2×C8 | — | 30 | 1 | no | — |
| 597 | C2×C8 | — | 30 | 1 | no | — |
| 598 | C2×C8 | — | 30 | 1 | no | — |
| 599 | C4⋊C4 | — | 30 | 1 | no | — |
| 600 | C22⋊C4 | — | 30 | 1 | no | — |
| 601 | C42 | — | 15 | 2 | no | — |
| 602 | C3×C5 | #2955 | 1 | 1 | yes | characteristic, complemented, Hall |
| 603 | C22×C3 | — | 2 | 2 | no | — |
| 604 | C22×C3 | — | 4 | 2 | no | — |
| 605 | C22×C3 | — | 5 | 1 | no | — |
| 606 | C22×C3 | — | 5 | 1 | no | — |
| 607 | C22×C3 | — | 20 | 1 | no | — |
| 608 | C22×C3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 609 | C2×D3 | — | 2 | 1 | no | — |
| 610 | C2×D3 | — | 10 | 1 | no | — |
| 611 | C2×D3 | — | 20 | 2 | no | — |
| 612 | C3×C4 | — | 5 | 1 | no | — |
| 613 | C3×C4 | — | 5 | 1 | no | — |
| 614 | C3×C4 | — | 10 | 2 | no | — |
| 615 | C3×C4 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 616 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 617 | Dic3 | — | 2 | 1 | no | — |
| 618 | Dic3 | — | 10 | 1 | no | — |
| 619 | Dic3 | — | 20 | 2 | no | — |
| 620 | C2×C5 | — | 2 | 1 | no | — |
| 621 | C2×C5 | — | 4 | 2 | no | — |
| 622 | C2×C5 | — | 12 | 1 | no | — |
| 623 | C2×C5 | C2×C4×#67 | 1 | 1 | yes | characteristic |
| 624 | D5 | — | 2 | 1 | no | — |
| 625 | D5 | — | 2 | 1 | no | — |
| 626 | D5 | — | 12 | 1 | no | — |
| 627 | C23 | — | 2 | 1 | no | — |
| 628 | C23 | — | 5 | 1 | no | — |
| 629 | C23 | — | 30 | 1 | no | — |
| 630 | Q8 | — | 3 | 1 | no | — |
| 631 | Q8 | — | 5 | 2 | no | — |
| 632 | Q8 | — | 10 | 1 | no | — |
| 633 | Q8 | — | 15 | 1 | no | — |
| 634 | Q8 | — | 30 | 1 | no | — |
| 635 | D4 | — | 2 | 1 | no | — |
| 636 | D4 | — | 3 | 1 | no | — |
| 637 | D4 | — | 6 | 1 | no | — |
| 638 | D4 | — | 10 | 2 | no | — |
| 639 | D4 | — | 10 | 2 | no | — |
| 640 | D4 | — | 15 | 1 | no | — |
| 641 | D4 | — | 30 | 1 | no | — |
| 642 | D4 | — | 30 | 1 | no | — |
| 643 | D4 | — | 30 | 1 | no | — |
| 644 | D4 | — | 30 | 1 | no | — |
| 645 | D4 | C2×D3×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 646 | C2×C4 | — | 5 | 1 | no | — |
| 647 | C2×C4 | — | 5 | 1 | no | — |
| 648 | C2×C4 | — | 5 | 1 | no | — |
| 649 | C2×C4 | — | 5 | 1 | no | — |
| 650 | C2×C4 | — | 5 | 1 | no | — |
| 651 | C2×C4 | — | 6 | 1 | no | — |
| 652 | C2×C4 | — | 10 | 2 | no | — |
| 653 | C2×C4 | — | 10 | 2 | no | — |
| 654 | C2×C4 | — | 10 | 1 | no | — |
| 655 | C2×C4 | — | 30 | 1 | no | — |
| 656 | C2×C4 | — | 30 | 1 | no | — |
| 657 | C2×C4 | — | 30 | 1 | no | — |
| 658 | C2×C4 | — | 30 | 1 | no | — |
| 659 | C2×C4 | — | 30 | 2 | no | — |
| 660 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 661 | C8 | — | 3 | 2 | no | — |
| 662 | C8 | — | 5 | 1 | no | — |
| 663 | C8 | — | 5 | 1 | no | — |
| 664 | C8 | — | 5 | 1 | no | — |
| 665 | C8 | — | 5 | 1 | no | — |
| 666 | C8 | — | 10 | 2 | no | — |
| 667 | C8 | — | 15 | 2 | no | — |
| 668 | C8 | — | 30 | 1 | no | — |
| 669 | C8 | — | 30 | 1 | no | — |
| 670 | C2×C3 | — | 2 | 1 | no | — |
| 671 | C2×C3 | — | 4 | 2 | no | — |
| 672 | C2×C3 | — | 10 | 1 | no | — |
| 673 | C2×C3 | — | 10 | 1 | no | — |
| 674 | C2×C3 | C2×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 675 | D3 | — | 4 | 1 | no | — |
| 676 | D3 | — | 20 | 1 | no | — |
| 677 | C5 | #83792 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 678 | C22 | — | 2 | 2 | no | — |
| 679 | C22 | — | 4 | 2 | no | — |
| 680 | C22 | — | 5 | 1 | no | — |
| 681 | C22 | — | 5 | 1 | no | — |
| 682 | C22 | — | 6 | 1 | no | — |
| 683 | C22 | — | 20 | 1 | no | — |
| 684 | C22 | — | 30 | 1 | no | — |
| 685 | C22 | — | 60 | 2 | no | — |
| 686 | C22 | AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
| 687 | C4 | — | 5 | 1 | no | — |
| 688 | C4 | — | 5 | 1 | no | — |
| 689 | C4 | — | 6 | 1 | no | — |
| 690 | C4 | — | 10 | 2 | no | — |
| 691 | C4 | — | 30 | 1 | no | — |
| 692 | C4 | — | 60 | 2 | no | — |
| 693 | C4 | AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
| 694 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 695 | C3 | #10617448 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 696 | C2 | — | 2 | 1 | no | — |
| 697 | C2 | — | 4 | 2 | no | — |
| 698 | C2 | — | 10 | 1 | no | — |
| 699 | C2 | — | 10 | 1 | no | — |
| 700 | C2 | — | 12 | 1 | no | — |
| 701 | C2 | — | 60 | 1 | no | — |
| 702 | C2 | C2×AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta