| 1 | AGL(1,𝔽5)×#239 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | D5×#919 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | Q16×ΓL(1,𝔽16) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×Q16×AGL(1,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751971 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11751965 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | AGL(1,𝔽5)×#215 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11751664 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | AGL(1,𝔽5)×D24 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11751658 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D3×C8×AGL(1,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | AGL(1,𝔽5)×#135 | — | 3 | 1 | no | maximal, Hall |
| 13 | D5×#239 | C22 | 1 | 2 | yes | — |
| 14 | Q8×ΓL(1,𝔽16) | C22 | 1 | 2 | yes | — |
| 15 | C3×Q8×AGL(1,𝔽5) | C22 | 1 | 2 | yes | — |
| 16 | #91921 | — | 2 | 2 | no | — |
| 17 | #91921 | C22 | 1 | 2 | yes | — |
| 18 | AGL(1,𝔽5)×D12 | — | 2 | 2 | no | — |
| 19 | AGL(1,𝔽5)×D12 | C22 | 1 | 2 | yes | — |
| 20 | C4×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 21 | C4×D3×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 22 | D3×D5⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 23 | #91907 | — | 2 | 2 | no | — |
| 24 | #91907 | C22 | 1 | 2 | yes | — |
| 25 | #91808 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | C5×#919 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | C3×D5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 28 | #91523 | C4 | 1 | 2 | yes | complemented |
| 29 | #91519 | C4 | 1 | 2 | yes | complemented |
| 30 | D5×#215 | C22 | 1 | 2 | yes | — |
| 31 | #91279 | C4 | 1 | 1 | yes | characteristic, complemented |
| 32 | #91275 | C4 | 1 | 1 | yes | characteristic, complemented |
| 33 | D5×D24 | C22 | 1 | 1 | yes | characteristic |
| 34 | D3×C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91238 | C22 | 1 | 2 | yes | — |
| 36 | #91223 | C22 | 1 | 1 | yes | characteristic |
| 37 | C8×ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×#4009 | C22 | 1 | 2 | yes | — |
| 39 | C3×#3994 | C22 | 1 | 1 | yes | characteristic |
| 40 | C3×C8×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 41 | #91159 | C22 | 1 | 2 | yes | — |
| 42 | #91152 | C22 | 1 | 2 | yes | — |
| 43 | #91151 | C22 | 1 | 2 | yes | — |
| 44 | ΓL(1,𝔽16)⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 45 | AGL(1,𝔽5)×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 46 | C4×#919 | — | 5 | 1 | no | maximal, Hall |
| 47 | #41×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 48 | D5×#135 | — | 3 | 1 | no | — |
| 49 | #65794 | — | 3 | 2 | no | — |
| 50 | Q16×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 51 | Q16×AGL(1,𝔽5) | D3 | 1 | 1 | yes | characteristic, complemented |
| 52 | SD16×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 53 | SD16×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 54 | D8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 55 | D8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 56 | #65721 | — | 3 | 1 | no | — |
| 57 | C2×C8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 58 | C2×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 59 | C2×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 60 | C2×D3×AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 61 | C2×D3×AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 62 | #6821 | C2×C4 | 1 | 2 | yes | complemented |
| 63 | C5×#239 | C2×C4 | 1 | 2 | yes | complemented |
| 64 | C3×Q8×D5 | C23 | 1 | 2 | yes | — |
| 65 | D5×D12 | — | 2 | 2 | no | — |
| 66 | D5×D12 | C23 | 1 | 2 | yes | — |
| 67 | C4×D3×D5 | — | 2 | 2 | no | — |
| 68 | C4×D3×D5 | C23 | 1 | 1 | yes | characteristic |
| 69 | #6769 | — | 2 | 2 | no | — |
| 70 | #6769 | C2×C4 | 1 | 2 | yes | complemented |
| 71 | #6768 | — | 2 | 2 | no | — |
| 72 | #6768 | C2×C4 | 1 | 2 | yes | complemented |
| 73 | C4⋊ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 74 | C4⋊ΓL(1,𝔽16) | C23 | 1 | 2 | yes | — |
| 75 | C4×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 76 | C4×ΓL(1,𝔽16) | C23 | 1 | 1 | yes | characteristic |
| 77 | D5⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 78 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 79 | C3×C4⋊AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 80 | C3×C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 81 | C3×C4×AGL(1,𝔽5) | C23 | 1 | 1 | yes | characteristic |
| 82 | C3×D5⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 83 | #6738 | — | 2 | 1 | no | — |
| 84 | D3×#170 | — | 2 | 1 | no | — |
| 85 | (C2×D3)⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 86 | (C2×D3)⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 87 | (C2×D3)⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 88 | Dic3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 89 | Dic3×AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 90 | Dic3×AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 91 | C3×C5×Q16 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 92 | #6717 | C2×C4 | 1 | 2 | yes | complemented |
| 93 | D120 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 94 | C8×D15 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 95 | C5×#215 | C2×C4 | 1 | 2 | yes | complemented |
| 96 | C5×D24 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 97 | C5×D3×C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 98 | C3×#689 | C2×C4 | 1 | 2 | yes | complemented |
| 99 | C3×Dic20 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 100 | C3×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 101 | #6658 | C2×C4 | 1 | 2 | yes | complemented |
| 102 | #6656 | C2×C4 | 1 | 2 | yes | complemented |
| 103 | #6654 | C2×C4 | 1 | 2 | yes | complemented |
| 104 | #6648 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 105 | D3×#168 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 106 | D5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×#919 | — | 5 | 1 | no | — |
| 108 | C4×#239 | — | 5 | 2 | no | — |
| 109 | C3×C4×Q16 | — | 5 | 1 | no | — |
| 110 | Dic3×Q16 | — | 5 | 1 | no | — |
| 111 | C4×#215 | — | 5 | 2 | no | — |
| 112 | #4880 | — | 5 | 1 | no | — |
| 113 | #4872 | — | 5 | 1 | no | — |
| 114 | #4804 | — | 5 | 2 | no | — |
| 115 | #4788 | — | 5 | 2 | no | — |
| 116 | C4×D24 | — | 5 | 1 | no | — |
| 117 | C4×D3×C8 | — | 5 | 1 | no | — |
| 118 | D5×#41 | — | 3 | 2 | no | — |
| 119 | Q8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 120 | Q8×AGL(1,𝔽5) | C2×D3 | 1 | 2 | yes | — |
| 121 | D4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 122 | D4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 123 | D4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 124 | D4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 125 | #4130 | — | 3 | 2 | no | — |
| 126 | #4130 | — | 6 | 2 | no | — |
| 127 | C2×C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 128 | C2×C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 129 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 130 | C5×#135 | — | 3 | 1 | no | — |
| 131 | #4096 | — | 3 | 2 | no | — |
| 132 | #4065 | — | 3 | 1 | no | — |
| 133 | D5×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 134 | #4062 | — | 3 | 2 | no | — |
| 135 | D5×SD16 | — | 3 | 2 | no | — |
| 136 | #4058 | — | 3 | 1 | no | — |
| 137 | D5×D8 | — | 3 | 1 | no | — |
| 138 | #4050 | — | 3 | 1 | no | — |
| 139 | C2×C8×D5 | — | 3 | 1 | no | — |
| 140 | #4009 | — | 3 | 2 | no | — |
| 141 | #4009 | C2×D3 | 1 | 2 | yes | — |
| 142 | #4007 | — | 3 | 2 | no | — |
| 143 | #4007 | — | 3 | 2 | no | — |
| 144 | #3994 | — | 3 | 1 | no | — |
| 145 | #3994 | C2×D3 | 1 | 1 | yes | characteristic |
| 146 | #3993 | — | 3 | 2 | no | — |
| 147 | C8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 148 | C8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 149 | C8×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 150 | C8×AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 151 | C4×#135 | — | 15 | 1 | no | Sylow |
| 152 | C2×D3×D5 | — | 2 | 2 | no | — |
| 153 | C2×D3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 155 | C2×ΓL(1,𝔽16) | C2×D4 | 1 | 1 | yes | characteristic |
| 156 | C2×ΓL(1,𝔽16) | C2×D4 | 1 | 1 | yes | characteristic |
| 157 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 158 | C2×C3×AGL(1,𝔽5) | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C2×C3×AGL(1,𝔽5) | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 161 | D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 162 | D3×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 163 | D3×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 164 | C3×C5×Q8 | C22×C4 | 1 | 2 | yes | — |
| 165 | D60 | — | 2 | 2 | no | — |
| 166 | D60 | C22×C4 | 1 | 2 | yes | — |
| 167 | C4×D15 | — | 2 | 2 | no | — |
| 168 | C4×D15 | C22×C4 | 1 | 1 | yes | characteristic |
| 169 | C5×D12 | — | 2 | 2 | no | — |
| 170 | C5×D12 | C22×C4 | 1 | 2 | yes | — |
| 171 | C4×C5×D3 | — | 2 | 2 | no | — |
| 172 | C4×C5×D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 173 | C3×C4×D5 | — | 2 | 2 | no | — |
| 174 | C3×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 175 | C3×Dic10 | — | 2 | 2 | no | — |
| 176 | C3×Dic10 | C22×C4 | 1 | 2 | yes | — |
| 177 | #1203 | — | 2 | 2 | no | — |
| 178 | #1203 | — | 2 | 2 | no | — |
| 179 | #1203 | — | 2 | 2 | no | — |
| 180 | #1200 | — | 2 | 2 | no | — |
| 181 | #1200 | #41 | 1 | 1 | yes | characteristic |
| 182 | D3×Dic5 | — | 2 | 2 | no | — |
| 183 | D3×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 184 | D5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C3⋊#170 | — | 2 | 1 | no | — |
| 186 | C3×#170 | — | 2 | 1 | no | — |
| 187 | C3×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 188 | C3⋊#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 189 | C3×#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 190 | C5×C3⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 191 | C2×#239 | — | 5 | 2 | no | — |
| 192 | C2×C3×Q16 | — | 5 | 1 | no | — |
| 193 | C3×C4×Q8 | — | 5 | 2 | no | — |
| 194 | Q8×Dic3 | — | 5 | 2 | no | — |
| 195 | C2×#215 | — | 5 | 2 | no | — |
| 196 | #919 | — | 5 | 2 | no | — |
| 197 | #919 | — | 5 | 1 | no | — |
| 198 | #919 | — | 5 | 2 | no | — |
| 199 | #919 | — | 5 | 1 | no | — |
| 200 | #919 | — | 5 | 1 | no | — |
| 201 | #919 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, direct product factor |
| 202 | C2×D24 | — | 5 | 1 | no | — |
| 203 | C2×D3×C8 | — | 5 | 1 | no | — |
| 204 | C2×D3×C8 | — | 5 | 1 | no | — |
| 205 | #893 | — | 5 | 2 | no | — |
| 206 | #893 | — | 10 | 2 | no | — |
| 207 | #892 | — | 5 | 2 | no | — |
| 208 | #892 | — | 10 | 2 | no | — |
| 209 | C4×D12 | — | 5 | 2 | no | — |
| 210 | C4×D12 | — | 10 | 2 | no | — |
| 211 | C42×D3 | — | 5 | 1 | no | — |
| 212 | C42×D3 | — | 10 | 2 | no | — |
| 213 | C3×#107 | — | 5 | 1 | no | — |
| 214 | C3×#103 | — | 5 | 2 | no | — |
| 215 | C3×C4×C8 | — | 5 | 1 | no | — |
| 216 | #835 | — | 5 | 2 | no | — |
| 217 | #821 | — | 5 | 2 | no | — |
| 218 | #818 | — | 5 | 1 | no | — |
| 219 | C8×Dic3 | — | 5 | 1 | no | — |
| 220 | C8×Dic3 | — | 5 | 1 | no | — |
| 221 | #809 | — | 5 | 2 | no | — |
| 222 | #808 | — | 5 | 2 | no | — |
| 223 | C4×C3⋊C8 | — | 5 | 1 | no | — |
| 224 | C22×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 225 | C22×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 226 | C22×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 227 | C22×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 228 | C5×#41 | — | 3 | 2 | no | — |
| 229 | #713 | — | 3 | 2 | no | — |
| 230 | Q8×D5 | C22×D3 | 1 | 2 | yes | — |
| 231 | #711 | — | 3 | 2 | no | — |
| 232 | #711 | — | 6 | 2 | no | — |
| 233 | D4×D5 | — | 3 | 2 | no | — |
| 234 | D4×D5 | — | 6 | 2 | no | — |
| 235 | #709 | — | 3 | 2 | no | — |
| 236 | #709 | — | 6 | 2 | no | — |
| 237 | C2×C4×D5 | — | 3 | 1 | no | — |
| 238 | C2×C4×D5 | — | 6 | 2 | no | — |
| 239 | C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 240 | C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 241 | C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 242 | C2×#170 | — | 6 | 1 | no | — |
| 243 | C4⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 244 | C4⋊AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 245 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 246 | C4⋊AGL(1,𝔽5) | C22×D3 | 1 | 2 | yes | — |
| 247 | C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 248 | C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 249 | C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 250 | C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 251 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 252 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 253 | C4×AGL(1,𝔽5) | C22×D3 | 1 | 1 | yes | characteristic |
| 254 | D5⋊C8 | — | 3 | 1 | no | — |
| 255 | D5⋊C8 | — | 6 | 1 | no | — |
| 256 | D5⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 257 | C5×Q16 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 258 | C5×SD16 | — | 3 | 2 | no | — |
| 259 | C5×D8 | — | 3 | 1 | no | — |
| 260 | C2×C5×C8 | — | 3 | 1 | no | — |
| 261 | #689 | C4×D3 | 1 | 2 | yes | complemented |
| 262 | #688 | — | 3 | 2 | no | — |
| 263 | #687 | — | 3 | 2 | no | — |
| 264 | #686 | — | 3 | 2 | no | — |
| 265 | C2×#168 | — | 3 | 1 | no | — |
| 266 | Dic20 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 267 | D40 | — | 3 | 1 | no | — |
| 268 | #677 | — | 3 | 2 | no | — |
| 269 | C8×D5 | — | 3 | 1 | no | — |
| 270 | C8×D5 | — | 3 | 1 | no | — |
| 271 | C8×D5 | — | 3 | 1 | no | — |
| 272 | C8×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 273 | C2×#135 | — | 15 | 1 | no | — |
| 274 | C4×#41 | — | 15 | 2 | no | — |
| 275 | C4×Q16 | — | 5 | 1 | no | — |
| 276 | C4×Q16 | — | 15 | 1 | no | — |
| 277 | C4×SD16 | — | 15 | 2 | no | — |
| 278 | C4×SD16 | — | 15 | 2 | no | — |
| 279 | C4×D8 | — | 15 | 1 | no | — |
| 280 | C4×D8 | — | 15 | 1 | no | — |
| 281 | #427 | — | 15 | 1 | no | — |
| 282 | #416 | — | 15 | 2 | no | — |
| 283 | C2×C4×C8 | — | 15 | 1 | no | — |
| 284 | C2×D15 | — | 2 | 2 | no | — |
| 285 | C2×D15 | C4×D4 | 1 | 1 | yes | characteristic |
| 286 | C2×C5×D3 | — | 2 | 2 | no | — |
| 287 | C2×C5×D3 | C4×D4 | 1 | 1 | yes | characteristic |
| 288 | C2×C3×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 289 | D3×D5 | — | 2 | 1 | no | — |
| 290 | D3×D5 | — | 2 | 1 | no | — |
| 291 | D3×D5 | — | 4 | 2 | no | — |
| 292 | D3×D5 | — | 4 | 2 | no | — |
| 293 | ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 294 | ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 295 | ΓL(1,𝔽16) | #135 | 1 | 2 | yes | complemented |
| 296 | C3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 297 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 298 | C3×AGL(1,𝔽5) | #135 | 1 | 2 | yes | complemented |
| 299 | C3×C4×C5 | — | 2 | 2 | no | — |
| 300 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 301 | Dic15 | C4×D4 | 1 | 1 | yes | characteristic |
| 302 | C3×Dic5 | — | 2 | 2 | no | — |
| 303 | C3×Dic5 | C2×#41 | 1 | 1 | yes | characteristic |
| 304 | C5×Dic3 | C4×D4 | 1 | 1 | yes | characteristic |
| 305 | C2×C3×Q8 | — | 5 | 2 | no | — |
| 306 | #239 | — | 5 | 2 | no | — |
| 307 | #239 | — | 5 | 2 | no | — |
| 308 | #239 | — | 5 | 2 | no | — |
| 309 | #239 | — | 10 | 2 | no | — |
| 310 | #239 | — | 10 | 2 | no | — |
| 311 | #239 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 312 | C2×D12 | — | 5 | 2 | no | — |
| 313 | C2×D12 | — | 10 | 2 | no | — |
| 314 | C2×C4×D3 | — | 5 | 1 | no | — |
| 315 | C2×C4×D3 | — | 5 | 1 | no | — |
| 316 | C2×C4×D3 | — | 5 | 1 | no | — |
| 317 | C2×C4×D3 | — | 10 | 2 | no | — |
| 318 | C2×C4×D3 | — | 10 | 2 | no | — |
| 319 | C2×C4×D3 | — | 10 | 2 | no | — |
| 320 | C3×Q16 | — | 5 | 2 | no | — |
| 321 | C3×Q16 | — | 5 | 1 | no | — |
| 322 | C3×Q16 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 323 | C2×C3×C8 | — | 5 | 1 | no | — |
| 324 | C2×C3×C8 | — | 5 | 1 | no | — |
| 325 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 326 | C3×C4⋊C4 | — | 10 | 2 | no | — |
| 327 | C3×C42 | — | 5 | 1 | no | — |
| 328 | C3×C42 | — | 10 | 2 | no | — |
| 329 | #215 | — | 5 | 2 | no | — |
| 330 | #215 | — | 5 | 2 | no | — |
| 331 | #215 | — | 5 | 2 | no | — |
| 332 | #215 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 333 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 334 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 335 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 336 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 337 | C4⋊Dic3 | — | 10 | 2 | no | — |
| 338 | C4×Dic3 | — | 5 | 1 | no | — |
| 339 | C4×Dic3 | — | 5 | 1 | no | — |
| 340 | C4×Dic3 | — | 5 | 1 | no | — |
| 341 | C4×Dic3 | — | 10 | 2 | no | — |
| 342 | C4×Dic3 | — | 10 | 2 | no | — |
| 343 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 344 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 345 | D24 | — | 5 | 2 | no | — |
| 346 | D24 | — | 5 | 1 | no | — |
| 347 | D24 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 348 | D3×C8 | — | 5 | 1 | no | — |
| 349 | D3×C8 | — | 5 | 1 | no | — |
| 350 | D3×C8 | — | 5 | 1 | no | — |
| 351 | D3×C8 | — | 10 | 1 | no | — |
| 352 | D3×C8 | — | 10 | 1 | no | — |
| 353 | D3×C8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 354 | C22×D5 | — | 3 | 1 | no | — |
| 355 | C22×D5 | — | 6 | 2 | no | — |
| 356 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 357 | C2×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 358 | C2×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 359 | C2×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 360 | C2×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 361 | C2×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 362 | C2×AGL(1,𝔽5) | — | 12 | 4 | no | — |
| 363 | C2×AGL(1,𝔽5) | — | 12 | 4 | no | — |
| 364 | C2×AGL(1,𝔽5) | D3×D4 | 1 | 1 | yes | characteristic |
| 365 | C2×AGL(1,𝔽5) | D3×D4 | 1 | 1 | yes | characteristic |
| 366 | C5×Q8 | C2×C4×D3 | 1 | 2 | yes | — |
| 367 | C5×D4 | — | 3 | 2 | no | — |
| 368 | C5×D4 | — | 6 | 2 | no | — |
| 369 | C2×C4×C5 | — | 3 | 1 | no | — |
| 370 | C2×C4×C5 | — | 6 | 2 | no | — |
| 371 | C22⋊D5 | — | 6 | 2 | no | — |
| 372 | C22⋊D5 | — | 6 | 2 | no | — |
| 373 | C22⋊D5 | — | 6 | 2 | no | — |
| 374 | C2×Dic5 | — | 3 | 1 | no | — |
| 375 | C2×Dic5 | — | 6 | 2 | no | — |
| 376 | D20 | — | 3 | 2 | no | — |
| 377 | D20 | — | 6 | 2 | no | — |
| 378 | C4×D5 | — | 2 | 2 | no | — |
| 379 | C4×D5 | — | 3 | 1 | no | — |
| 380 | C4×D5 | — | 3 | 1 | no | — |
| 381 | C4×D5 | — | 3 | 1 | no | — |
| 382 | C4×D5 | — | 6 | 2 | no | — |
| 383 | C4×D5 | — | 6 | 2 | no | — |
| 384 | C4×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 385 | Dic10 | — | 2 | 2 | no | — |
| 386 | Dic10 | C2×C4×D3 | 1 | 2 | yes | — |
| 387 | #170 | — | 2 | 1 | no | — |
| 388 | #170 | — | 6 | 1 | no | — |
| 389 | C5×C8 | — | 3 | 1 | no | — |
| 390 | C5×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 391 | #168 | — | 3 | 1 | no | — |
| 392 | #168 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 393 | C2×#41 | — | 15 | 2 | no | — |
| 394 | #135 | — | 3 | 1 | no | — |
| 395 | #135 | — | 15 | 1 | no | — |
| 396 | #135 | — | 15 | 1 | no | — |
| 397 | #135 | — | 15 | 2 | no | — |
| 398 | #135 | — | 15 | 2 | no | — |
| 399 | #135 | — | 15 | 1 | no | — |
| 400 | C2×Q16 | — | 5 | 1 | no | — |
| 401 | C2×SD16 | — | 15 | 2 | no | — |
| 402 | C2×D8 | — | 15 | 1 | no | — |
| 403 | C22×C8 | — | 15 | 1 | no | — |
| 404 | C22×C8 | — | 15 | 1 | no | — |
| 405 | C4×Q8 | — | 5 | 2 | no | — |
| 406 | C4×Q8 | — | 15 | 2 | no | — |
| 407 | C4×D4 | — | 15 | 2 | no | — |
| 408 | C4×D4 | — | 15 | 2 | no | — |
| 409 | C4×D4 | — | 30 | 2 | no | — |
| 410 | C4×D4 | — | 30 | 2 | no | — |
| 411 | #117 | — | 15 | 2 | no | — |
| 412 | #117 | — | 30 | 2 | no | — |
| 413 | C2×C42 | — | 15 | 1 | no | — |
| 414 | C2×C42 | — | 30 | 2 | no | — |
| 415 | #107 | — | 5 | 1 | no | — |
| 416 | #107 | — | 15 | 1 | no | — |
| 417 | #106 | — | 15 | 2 | no | — |
| 418 | #103 | — | 5 | 2 | no | — |
| 419 | #103 | — | 15 | 2 | no | — |
| 420 | #102 | — | 15 | 2 | no | — |
| 421 | #102 | — | 15 | 2 | no | — |
| 422 | C4×C8 | — | 5 | 1 | no | — |
| 423 | C4×C8 | — | 15 | 1 | no | — |
| 424 | C4×C8 | — | 15 | 1 | no | — |
| 425 | C4×C8 | — | 15 | 1 | no | — |
| 426 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 427 | D15 | — | 2 | 1 | no | — |
| 428 | D15 | — | 4 | 2 | no | — |
| 429 | C3×D5 | C2×#135 | 1 | 1 | yes | characteristic |
| 430 | C3×D5 | C2×#135 | 1 | 1 | yes | characteristic |
| 431 | C5×D3 | — | 2 | 1 | no | — |
| 432 | C5×D3 | — | 4 | 2 | no | — |
| 433 | C22×D3 | — | 5 | 1 | no | — |
| 434 | C22×D3 | — | 10 | 2 | no | — |
| 435 | C3×Q8 | — | 5 | 2 | no | — |
| 436 | C3×Q8 | — | 10 | 2 | no | — |
| 437 | C3×Q8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 438 | C2×C3×C4 | — | 5 | 1 | no | — |
| 439 | C2×C3×C4 | — | 5 | 1 | no | — |
| 440 | C2×C3×C4 | — | 5 | 1 | no | — |
| 441 | C2×C3×C4 | — | 10 | 2 | no | — |
| 442 | C2×C3×C4 | — | 10 | 2 | no | — |
| 443 | C2×Dic3 | — | 5 | 1 | no | — |
| 444 | C2×Dic3 | — | 5 | 1 | no | — |
| 445 | C2×Dic3 | — | 5 | 1 | no | — |
| 446 | C2×Dic3 | — | 10 | 2 | no | — |
| 447 | D12 | — | 2 | 2 | no | — |
| 448 | D12 | — | 5 | 2 | no | — |
| 449 | D12 | — | 10 | 2 | no | — |
| 450 | D12 | — | 10 | 2 | no | — |
| 451 | D12 | — | 10 | 2 | no | — |
| 452 | D12 | — | 10 | 2 | no | — |
| 453 | D12 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 454 | C4×D3 | — | 2 | 2 | no | — |
| 455 | C4×D3 | — | 5 | 1 | no | — |
| 456 | C4×D3 | — | 5 | 1 | no | — |
| 457 | C4×D3 | — | 5 | 1 | no | — |
| 458 | C4×D3 | — | 10 | 2 | no | — |
| 459 | C4×D3 | — | 10 | 2 | no | — |
| 460 | C4×D3 | — | 10 | 2 | no | — |
| 461 | C4×D3 | — | 10 | 2 | no | — |
| 462 | C4×D3 | — | 10 | 2 | no | — |
| 463 | C4×D3 | — | 20 | 4 | no | — |
| 464 | C4×D3 | — | 20 | 4 | no | — |
| 465 | C4×D3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 466 | C3×C8 | — | 5 | 1 | no | — |
| 467 | C3×C8 | — | 10 | 1 | no | — |
| 468 | C3×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 469 | C3⋊C8 | — | 5 | 1 | no | — |
| 470 | C3⋊C8 | — | 10 | 1 | no | — |
| 471 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 472 | C22×C5 | — | 3 | 1 | no | — |
| 473 | C22×C5 | — | 6 | 2 | no | — |
| 474 | C2×D5 | — | 3 | 1 | no | — |
| 475 | C2×D5 | — | 6 | 1 | no | — |
| 476 | C2×D5 | — | 6 | 1 | no | — |
| 477 | C2×D5 | — | 6 | 2 | no | — |
| 478 | C2×D5 | — | 12 | 2 | no | — |
| 479 | C2×D5 | — | 12 | 2 | no | — |
| 480 | C2×D5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 481 | AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 482 | AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 483 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 484 | AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 485 | AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 486 | AGL(1,𝔽5) | #919 | 1 | 2 | yes | direct product factor |
| 487 | C4×C5 | — | 2 | 2 | no | — |
| 488 | C4×C5 | — | 3 | 1 | no | — |
| 489 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 490 | Dic5 | — | 2 | 2 | no | — |
| 491 | Dic5 | — | 3 | 1 | no | — |
| 492 | Dic5 | D3×#41 | 1 | 1 | yes | characteristic |
| 493 | #41 | — | 3 | 2 | no | — |
| 494 | #41 | — | 15 | 2 | no | — |
| 495 | #41 | — | 15 | 2 | no | — |
| 496 | #41 | — | 15 | 2 | no | — |
| 497 | #41 | — | 30 | 2 | no | — |
| 498 | #41 | — | 30 | 2 | no | — |
| 499 | C2×Q8 | — | 5 | 2 | no | — |
| 500 | C2×D4 | — | 15 | 2 | no | — |
| 501 | C2×D4 | — | 30 | 2 | no | — |
| 502 | C22×C4 | — | 15 | 1 | no | — |
| 503 | C22×C4 | — | 15 | 1 | no | — |
| 504 | C22×C4 | — | 15 | 1 | no | — |
| 505 | C22×C4 | — | 30 | 2 | no | — |
| 506 | C22×C4 | — | 30 | 2 | no | — |
| 507 | C22×C4 | — | 30 | 2 | no | — |
| 508 | Q16 | — | 5 | 2 | no | — |
| 509 | Q16 | — | 5 | 1 | no | — |
| 510 | Q16 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 511 | SD16 | — | 3 | 2 | no | — |
| 512 | SD16 | — | 15 | 2 | no | — |
| 513 | SD16 | — | 15 | 2 | no | — |
| 514 | SD16 | — | 15 | 2 | no | — |
| 515 | D8 | — | 3 | 1 | no | — |
| 516 | D8 | — | 15 | 2 | no | — |
| 517 | D8 | — | 15 | 1 | no | — |
| 518 | C2×C8 | — | 3 | 1 | no | — |
| 519 | C2×C8 | — | 5 | 1 | no | — |
| 520 | C2×C8 | — | 5 | 1 | no | — |
| 521 | C2×C8 | — | 15 | 1 | no | — |
| 522 | C2×C8 | — | 15 | 1 | no | — |
| 523 | C2×C8 | — | 15 | 1 | no | — |
| 524 | C2×C8 | — | 15 | 1 | no | — |
| 525 | C2×C8 | — | 15 | 1 | no | — |
| 526 | C2×C8 | — | 30 | 1 | no | — |
| 527 | C2×C8 | — | 30 | 1 | no | — |
| 528 | C4⋊C4 | — | 5 | 2 | no | — |
| 529 | C4⋊C4 | — | 10 | 2 | no | — |
| 530 | C4⋊C4 | — | 15 | 2 | no | — |
| 531 | C4⋊C4 | — | 30 | 2 | no | — |
| 532 | C22⋊C4 | — | 30 | 2 | no | — |
| 533 | C22⋊C4 | — | 30 | 2 | no | — |
| 534 | C22⋊C4 | — | 30 | 2 | no | — |
| 535 | C42 | — | 5 | 1 | no | — |
| 536 | C42 | — | 10 | 2 | no | — |
| 537 | C42 | — | 15 | 1 | no | — |
| 538 | C42 | — | 15 | 1 | no | — |
| 539 | C42 | — | 15 | 1 | no | — |
| 540 | C42 | — | 30 | 2 | no | — |
| 541 | C42 | — | 30 | 2 | no | — |
| 542 | C3×C5 | C4×#135 | 1 | 1 | yes | characteristic, complemented, Hall |
| 543 | C22×C3 | — | 5 | 1 | no | — |
| 544 | C2×D3 | — | 2 | 2 | no | — |
| 545 | C2×D3 | — | 5 | 1 | no | — |
| 546 | C2×D3 | — | 10 | 1 | no | — |
| 547 | C2×D3 | — | 10 | 1 | no | — |
| 548 | C2×D3 | — | 10 | 2 | no | — |
| 549 | C2×D3 | — | 20 | 2 | no | — |
| 550 | C2×D3 | — | 20 | 2 | no | — |
| 551 | C2×D3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 552 | C3×C4 | — | 2 | 2 | no | — |
| 553 | C3×C4 | — | 5 | 2 | no | — |
| 554 | C3×C4 | — | 5 | 1 | no | — |
| 555 | C3×C4 | — | 10 | 1 | no | — |
| 556 | C3×C4 | — | 10 | 2 | no | — |
| 557 | C3×C4 | — | 20 | 2 | no | — |
| 558 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 559 | Dic3 | — | 5 | 2 | no | — |
| 560 | Dic3 | — | 5 | 1 | no | — |
| 561 | Dic3 | — | 10 | 1 | no | — |
| 562 | Dic3 | — | 20 | 2 | no | — |
| 563 | Dic3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 564 | C2×C5 | — | 6 | 1 | no | — |
| 565 | C2×C5 | — | 12 | 2 | no | — |
| 566 | C2×C5 | C4×D3×D4 | 1 | 1 | yes | characteristic |
| 567 | D5 | — | 6 | 1 | no | — |
| 568 | D5 | — | 12 | 2 | no | — |
| 569 | D5 | C2×#919 | 1 | 1 | yes | characteristic |
| 570 | D5 | D3×#135 | 1 | 1 | yes | characteristic |
| 571 | C23 | — | 15 | 1 | no | — |
| 572 | C23 | — | 30 | 2 | no | — |
| 573 | Q8 | — | 5 | 2 | no | — |
| 574 | Q8 | — | 10 | 2 | no | — |
| 575 | Q8 | C2×D3×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 576 | D4 | — | 3 | 2 | no | — |
| 577 | D4 | — | 6 | 2 | no | — |
| 578 | D4 | — | 15 | 2 | no | — |
| 579 | D4 | — | 30 | 2 | no | — |
| 580 | D4 | — | 30 | 2 | no | — |
| 581 | D4 | — | 30 | 2 | no | — |
| 582 | D4 | — | 30 | 2 | no | — |
| 583 | C2×C4 | — | 3 | 1 | no | — |
| 584 | C2×C4 | — | 5 | 1 | no | — |
| 585 | C2×C4 | — | 5 | 1 | no | — |
| 586 | C2×C4 | — | 5 | 1 | no | — |
| 587 | C2×C4 | — | 6 | 2 | no | — |
| 588 | C2×C4 | — | 10 | 2 | no | — |
| 589 | C2×C4 | — | 10 | 2 | no | — |
| 590 | C2×C4 | — | 15 | 1 | no | — |
| 591 | C2×C4 | — | 15 | 1 | no | — |
| 592 | C2×C4 | — | 15 | 1 | no | — |
| 593 | C2×C4 | — | 15 | 1 | no | — |
| 594 | C2×C4 | — | 15 | 1 | no | — |
| 595 | C2×C4 | — | 15 | 1 | no | — |
| 596 | C2×C4 | — | 30 | 2 | no | — |
| 597 | C2×C4 | — | 30 | 2 | no | — |
| 598 | C2×C4 | — | 30 | 2 | no | — |
| 599 | C2×C4 | — | 30 | 2 | no | — |
| 600 | C2×C4 | — | 30 | 2 | no | — |
| 601 | C2×C4 | — | 30 | 2 | no | — |
| 602 | C2×C4 | — | 60 | 4 | no | — |
| 603 | C2×C4 | — | 60 | 4 | no | — |
| 604 | C8 | — | 3 | 1 | no | — |
| 605 | C8 | — | 5 | 1 | no | — |
| 606 | C8 | — | 10 | 1 | no | — |
| 607 | C8 | — | 15 | 1 | no | — |
| 608 | C8 | — | 30 | 1 | no | — |
| 609 | C8 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 610 | C2×C3 | — | 5 | 1 | no | — |
| 611 | C2×C3 | — | 5 | 1 | no | — |
| 612 | C2×C3 | C2×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 613 | D3 | — | 2 | 1 | no | — |
| 614 | D3 | — | 4 | 2 | no | — |
| 615 | D3 | — | 10 | 1 | no | — |
| 616 | D3 | — | 20 | 2 | no | — |
| 617 | C5 | C4×#919 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 618 | C22 | — | 3 | 1 | no | — |
| 619 | C22 | — | 5 | 1 | no | — |
| 620 | C22 | — | 6 | 2 | no | — |
| 621 | C22 | — | 15 | 1 | no | — |
| 622 | C22 | — | 30 | 1 | no | — |
| 623 | C22 | — | 30 | 1 | no | — |
| 624 | C22 | — | 30 | 2 | no | — |
| 625 | C22 | — | 60 | 2 | no | — |
| 626 | C22 | — | 60 | 2 | no | — |
| 627 | C4 | — | 2 | 2 | no | — |
| 628 | C4 | — | 3 | 1 | no | — |
| 629 | C4 | — | 5 | 2 | no | — |
| 630 | C4 | — | 5 | 1 | no | — |
| 631 | C4 | — | 10 | 1 | no | — |
| 632 | C4 | — | 10 | 2 | no | — |
| 633 | C4 | — | 15 | 2 | no | — |
| 634 | C4 | — | 15 | 1 | no | — |
| 635 | C4 | — | 20 | 2 | no | — |
| 636 | C4 | — | 30 | 1 | no | — |
| 637 | C4 | — | 60 | 2 | no | — |
| 638 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 639 | C3 | AGL(1,𝔽5)×#135 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 640 | C2 | — | 5 | 1 | no | — |
| 641 | C2 | — | 5 | 1 | no | — |
| 642 | C2 | — | 6 | 1 | no | — |
| 643 | C2 | — | 12 | 2 | no | — |
| 644 | C2 | — | 30 | 1 | no | — |
| 645 | C2 | — | 60 | 2 | no | — |
| 646 | C2 | D3×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta