| 1 | AGL(1,𝔽5)×#235 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | D5⋊#901 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | D5×#901 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11752377 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×C3×C8×AGL(1,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11751694 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | AGL(1,𝔽5)×#208 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11751671 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11751655 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | AGL(1,𝔽5)×ΓL(1,𝔽25) | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | D3×C8×AGL(1,𝔽5) | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | AGL(1,𝔽5)×#131 | — | 3 | 1 | no | maximal, Hall |
| 13 | D5×#235 | C22 | 1 | 1 | yes | characteristic |
| 14 | #91989 | C22 | 1 | 1 | yes | characteristic |
| 15 | D5⋊#208 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×C3×C4×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C3×D5⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 18 | AGL(1,𝔽5)×#67 | C4 | 1 | 4 | yes | — |
| 19 | #91927 | C4 | 1 | 4 | yes | complemented |
| 20 | AGL(1,𝔽5)×D12 | C4 | 1 | 2 | yes | — |
| 21 | C4×D3×AGL(1,𝔽5) | C22 | 1 | 2 | yes | — |
| 22 | D5⋊ΓL(1,𝔽25) | C22 | 1 | 2 | yes | — |
| 23 | #91914 | C4 | 1 | 2 | yes | complemented |
| 24 | #91911 | C4 | 1 | 2 | yes | complemented |
| 25 | D3×D5⋊C8 | C22 | 1 | 2 | yes | — |
| 26 | #91909 | C22 | 1 | 2 | yes | — |
| 27 | AGL(1,𝔽5)×Dic6 | C4 | 1 | 2 | yes | — |
| 28 | #91790 | C4 | 1 | 1 | yes | characteristic, complemented |
| 29 | C5×#901 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×C3×C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 31 | #91290 | C4 | 1 | 1 | yes | characteristic, complemented |
| 32 | #91286 | C4 | 1 | 1 | yes | characteristic, complemented |
| 33 | D5×#208 | C22 | 1 | 1 | yes | characteristic |
| 34 | #91266 | C4 | 1 | 2 | yes | complemented |
| 35 | #91265 | C4 | 1 | 2 | yes | complemented |
| 36 | D5×ΓL(1,𝔽25) | C22 | 1 | 2 | yes | — |
| 37 | D3×C8×D5 | C22 | 1 | 2 | yes | — |
| 38 | #91221 | C22 | 1 | 2 | yes | — |
| 39 | C8×ΓL(1,𝔽16) | C22 | 1 | 2 | yes | — |
| 40 | C3×C8×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 41 | C3×C8×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 42 | C3×C8×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 43 | C3×C8×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 44 | #91150 | C22 | 1 | 2 | yes | — |
| 45 | #91149 | C22 | 1 | 2 | yes | — |
| 46 | ΓL(1,𝔽16)⋊C8 | C22 | 1 | 2 | yes | — |
| 47 | AGL(1,𝔽5)×C3⋊C8 | C22 | 1 | 2 | yes | — |
| 48 | C4×#901 | — | 5 | 1 | no | maximal, Hall |
| 49 | #41×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 50 | D5⋊#131 | — | 3 | 1 | no | — |
| 51 | D5×#131 | — | 3 | 1 | no | — |
| 52 | #65728 | — | 3 | 2 | no | — |
| 53 | #65728 | — | 3 | 1 | no | — |
| 54 | M16×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 55 | M16×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 56 | #65718 | — | 3 | 1 | no | — |
| 57 | #65718 | — | 3 | 2 | no | — |
| 58 | C2×C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 59 | C2×C8×AGL(1,𝔽5) | D3 | 1 | 1 | yes | characteristic, complemented |
| 60 | C22×C3×AGL(1,𝔽5) | C2×C4 | 1 | 2 | yes | — |
| 61 | C2×D3×AGL(1,𝔽5) | C2×C4 | 1 | 4 | yes | — |
| 62 | #6817 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C5×#235 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 65 | D5×#67 | C2×C4 | 1 | 2 | yes | — |
| 66 | #6782 | C2×C4 | 1 | 2 | yes | — |
| 67 | D5×D12 | C2×C4 | 1 | 1 | yes | characteristic |
| 68 | C4×D3×D5 | C23 | 1 | 2 | yes | — |
| 69 | #6773 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | #6772 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | #6771 | C2×C4 | 1 | 2 | yes | — |
| 72 | D5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | #6763 | C2×C4 | 1 | 2 | yes | — |
| 74 | #6762 | C2×C4 | 1 | 2 | yes | complemented |
| 75 | C4⋊ΓL(1,𝔽16) | C2×C4 | 1 | 2 | yes | — |
| 76 | C4×ΓL(1,𝔽16) | C23 | 1 | 2 | yes | — |
| 77 | #6758 | C2×C4 | 1 | 2 | yes | complemented |
| 78 | D5⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 79 | C2×C3×#170 | C2×C4 | 1 | 2 | yes | complemented |
| 80 | C3×C4×AGL(1,𝔽5) | C2×C4 | 1 | 2 | yes | — |
| 81 | C3×C4×AGL(1,𝔽5) | C23 | 1 | 1 | yes | characteristic |
| 82 | C3×C4×AGL(1,𝔽5) | C23 | 1 | 1 | yes | characteristic |
| 83 | C3×D5⋊C8 | C2×C4 | 1 | 2 | yes | complemented |
| 84 | C3×D5⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 85 | C3×D5⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 86 | #6740 | C2×C4 | 1 | 4 | yes | complemented |
| 87 | #6739 | C2×C4 | 1 | 4 | yes | complemented |
| 88 | #6738 | C2×C4 | 1 | 4 | yes | complemented |
| 89 | D3×#170 | C2×C4 | 1 | 4 | yes | complemented |
| 90 | Dic3⋊AGL(1,𝔽5) | C2×C4 | 1 | 4 | yes | — |
| 91 | (C2×D3)⋊AGL(1,𝔽5) | C2×C4 | 1 | 4 | yes | — |
| 92 | Dic3×AGL(1,𝔽5) | C2×C4 | 1 | 4 | yes | — |
| 93 | C2×C3×C5×C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 94 | #6710 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 95 | #6705 | C2×C4 | 1 | 2 | yes | complemented |
| 96 | C8×D15 | C2×C4 | 1 | 2 | yes | complemented |
| 97 | C5×#208 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 98 | C5×ΓL(1,𝔽25) | C2×C4 | 1 | 2 | yes | complemented |
| 99 | C5×D3×C8 | C2×C4 | 1 | 2 | yes | complemented |
| 100 | C2×C3×#168 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 101 | C3×C8×D5 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 102 | C3×C8×D5 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 103 | C3×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 104 | C3×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 105 | #6651 | C2×C4 | 1 | 2 | yes | complemented |
| 106 | #6650 | C2×C4 | 1 | 2 | yes | complemented |
| 107 | #6649 | C2×C4 | 1 | 2 | yes | complemented |
| 108 | #6648 | C2×C4 | 1 | 2 | yes | complemented |
| 109 | D3×#168 | C2×C4 | 1 | 2 | yes | complemented |
| 110 | D5×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 111 | C2×#901 | — | 5 | 1 | no | — |
| 112 | C2×#901 | — | 5 | 1 | no | — |
| 113 | C4×#235 | — | 5 | 1 | no | — |
| 114 | C2×C3×C4×C8 | — | 5 | 1 | no | — |
| 115 | #5101 | — | 5 | 1 | no | — |
| 116 | #5101 | — | 5 | 1 | no | — |
| 117 | C4×#208 | — | 5 | 1 | no | — |
| 118 | #4689 | — | 5 | 2 | no | — |
| 119 | #4689 | — | 5 | 2 | no | — |
| 120 | C4×ΓL(1,𝔽25) | — | 5 | 2 | no | — |
| 121 | C4×D3×C8 | — | 5 | 2 | no | — |
| 122 | D5×#41 | — | 3 | 1 | no | — |
| 123 | Q8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 124 | #4133 | — | 3 | 2 | no | — |
| 125 | D4×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 126 | D4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 127 | #4131 | — | 3 | 4 | no | — |
| 128 | #4131 | — | 3 | 2 | no | — |
| 129 | #4130 | — | 3 | 1 | no | — |
| 130 | #4130 | — | 3 | 2 | no | — |
| 131 | C2×C4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 132 | C2×C4×AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 133 | D5⋊M16 | — | 3 | 1 | no | — |
| 134 | D5⋊M16 | — | 3 | 2 | no | — |
| 135 | C2×D5⋊C8 | — | 3 | 2 | no | — |
| 136 | C2×D5⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 137 | C5×#131 | — | 3 | 1 | no | — |
| 138 | #4094 | — | 3 | 1 | no | — |
| 139 | #4053 | — | 3 | 1 | no | — |
| 140 | #4053 | — | 3 | 2 | no | — |
| 141 | D5×M16 | — | 3 | 1 | no | — |
| 142 | D5×M16 | — | 3 | 2 | no | — |
| 143 | #4047 | — | 3 | 1 | no | — |
| 144 | #4047 | — | 3 | 2 | no | — |
| 145 | C2×C8×D5 | — | 3 | 2 | no | — |
| 146 | C2×C8×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 147 | #3992 | — | 3 | 2 | no | — |
| 148 | #3992 | — | 3 | 2 | no | — |
| 149 | #3992 | — | 3 | 2 | no | — |
| 150 | C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 151 | C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 152 | C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 153 | C8×AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 154 | C8×AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 155 | C8×AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 156 | C8×AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 157 | C4×#131 | — | 15 | 1 | no | Sylow |
| 158 | C22×C3×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 159 | C2×D3×D5 | C22×C4 | 1 | 2 | yes | — |
| 160 | C2×ΓL(1,𝔽16) | C22×C4 | 1 | 4 | yes | — |
| 161 | C2×C3×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 162 | C2×C3×AGL(1,𝔽5) | C22×C4 | 1 | 2 | yes | — |
| 163 | C2×C3×AGL(1,𝔽5) | C22×C4 | 1 | 2 | yes | — |
| 164 | D3×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 165 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 166 | #1220 | C42 | 1 | 2 | yes | — |
| 167 | D60 | C42 | 1 | 1 | yes | characteristic |
| 168 | C4×D15 | C22×C4 | 1 | 2 | yes | — |
| 169 | Dic30 | C42 | 1 | 1 | yes | characteristic |
| 170 | C5×#67 | C42 | 1 | 2 | yes | — |
| 171 | C5×D12 | C42 | 1 | 1 | yes | characteristic |
| 172 | C4×C5×D3 | C22×C4 | 1 | 2 | yes | — |
| 173 | C5×Dic6 | C42 | 1 | 1 | yes | characteristic |
| 174 | C2×C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 175 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 176 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 177 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 178 | C3×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 179 | #1204 | C42 | 1 | 2 | yes | — |
| 180 | #1203 | C42 | 1 | 2 | yes | — |
| 181 | #1202 | C42 | 1 | 2 | yes | — |
| 182 | #1201 | C42 | 1 | 2 | yes | — |
| 183 | #1200 | C22×C4 | 1 | 2 | yes | — |
| 184 | D3×Dic5 | C22×C4 | 1 | 2 | yes | — |
| 185 | D5×Dic3 | C22×C4 | 1 | 2 | yes | — |
| 186 | C3⋊#170 | C22×C4 | 1 | 4 | yes | — |
| 187 | C3×#170 | C22×C4 | 1 | 2 | yes | — |
| 188 | C3×#170 | C22×C4 | 1 | 2 | yes | — |
| 189 | C3×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 190 | C3×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 191 | C3⋊#168 | C22×C4 | 1 | 2 | yes | — |
| 192 | C3×#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 193 | C3×#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 194 | C5×C3⋊C8 | C22×C4 | 1 | 2 | yes | — |
| 195 | C2×#235 | — | 5 | 1 | no | — |
| 196 | C22×C3×C8 | — | 5 | 1 | no | — |
| 197 | C22×C3×C8 | — | 5 | 1 | no | — |
| 198 | C2×C3×C42 | — | 5 | 1 | no | — |
| 199 | C4×#67 | — | 5 | 4 | no | — |
| 200 | #926 | — | 5 | 1 | no | — |
| 201 | C2×#208 | — | 5 | 1 | no | — |
| 202 | C2×#208 | — | 5 | 1 | no | — |
| 203 | #901 | — | 5 | 2 | no | — |
| 204 | #901 | — | 5 | 2 | no | — |
| 205 | #901 | — | 5 | 4 | no | — |
| 206 | #901 | — | 5 | 1 | no | — |
| 207 | #901 | — | 5 | 1 | no | — |
| 208 | #901 | — | 5 | 1 | no | — |
| 209 | #901 | — | 5 | 2 | no | — |
| 210 | #901 | — | 5 | 2 | no | — |
| 211 | #901 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, direct product factor |
| 212 | C2×ΓL(1,𝔽25) | — | 5 | 2 | no | — |
| 213 | C2×ΓL(1,𝔽25) | — | 5 | 2 | no | — |
| 214 | C2×D3×C8 | — | 5 | 2 | no | — |
| 215 | C2×D3×C8 | — | 5 | 2 | no | — |
| 216 | C4×D12 | — | 5 | 2 | no | — |
| 217 | #872 | — | 5 | 2 | no | — |
| 218 | C42×D3 | — | 5 | 2 | no | — |
| 219 | C4×Dic6 | — | 5 | 2 | no | — |
| 220 | C3×C4×C8 | — | 5 | 1 | no | — |
| 221 | C3×C4×C8 | — | 5 | 1 | no | — |
| 222 | C3×C4×C8 | — | 5 | 1 | no | — |
| 223 | C3×C4×C8 | — | 5 | 1 | no | — |
| 224 | #815 | — | 5 | 2 | no | — |
| 225 | #815 | — | 5 | 2 | no | — |
| 226 | C8×Dic3 | — | 5 | 2 | no | — |
| 227 | C8×Dic3 | — | 5 | 2 | no | — |
| 228 | #803 | — | 5 | 2 | no | — |
| 229 | C4×C3⋊C8 | — | 5 | 2 | no | — |
| 230 | C22×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 231 | C22×AGL(1,𝔽5) | C4×D3 | 1 | 2 | yes | — |
| 232 | C5×#41 | — | 3 | 1 | no | — |
| 233 | #713 | — | 3 | 1 | no | — |
| 234 | Q8×D5 | — | 3 | 1 | no | — |
| 235 | #711 | — | 3 | 2 | no | — |
| 236 | #711 | — | 3 | 1 | no | — |
| 237 | D4×D5 | — | 3 | 2 | no | — |
| 238 | D4×D5 | — | 3 | 1 | no | — |
| 239 | #709 | — | 3 | 1 | no | — |
| 240 | #709 | — | 3 | 2 | no | — |
| 241 | C2×C4×D5 | — | 3 | 2 | no | — |
| 242 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 243 | C22⋊AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 244 | C22⋊AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 245 | #704 | — | 3 | 2 | no | — |
| 246 | #704 | — | 3 | 4 | no | — |
| 247 | C2×#170 | — | 3 | 4 | no | — |
| 248 | C2×#170 | C4×D3 | 1 | 2 | yes | complemented |
| 249 | C4⋊AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 250 | C4⋊AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 251 | C4×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 252 | C4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 253 | C4×AGL(1,𝔽5) | C4×D3 | 1 | 2 | yes | — |
| 254 | C4×AGL(1,𝔽5) | C22×D3 | 1 | 1 | yes | characteristic |
| 255 | C4×AGL(1,𝔽5) | C22×D3 | 1 | 1 | yes | characteristic |
| 256 | #700 | — | 3 | 2 | no | — |
| 257 | #700 | — | 3 | 4 | no | — |
| 258 | D5⋊C8 | — | 3 | 2 | no | — |
| 259 | D5⋊C8 | — | 3 | 4 | no | — |
| 260 | D5⋊C8 | C4×D3 | 1 | 2 | yes | complemented |
| 261 | D5⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 262 | D5⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 263 | C5×M16 | — | 3 | 1 | no | — |
| 264 | C5×M16 | — | 3 | 2 | no | — |
| 265 | C2×C5×C8 | — | 3 | 2 | no | — |
| 266 | C2×C5×C8 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 267 | #681 | — | 3 | 1 | no | — |
| 268 | #681 | — | 3 | 2 | no | — |
| 269 | C2×#168 | — | 3 | 2 | no | — |
| 270 | C2×#168 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 271 | #676 | — | 3 | 2 | no | — |
| 272 | #676 | — | 3 | 2 | no | — |
| 273 | #676 | — | 3 | 2 | no | — |
| 274 | C8×D5 | — | 3 | 2 | no | — |
| 275 | C8×D5 | — | 3 | 2 | no | — |
| 276 | C8×D5 | — | 3 | 2 | no | — |
| 277 | C8×D5 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 278 | C8×D5 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 279 | C8×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 280 | C8×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 281 | C2×#131 | — | 15 | 1 | no | — |
| 282 | C2×#131 | — | 15 | 1 | no | — |
| 283 | C4×#41 | — | 15 | 1 | no | — |
| 284 | #405 | — | 15 | 2 | no | — |
| 285 | #405 | — | 15 | 2 | no | — |
| 286 | #405 | — | 15 | 1 | no | — |
| 287 | #405 | — | 15 | 1 | no | — |
| 288 | C4×M16 | — | 15 | 2 | no | — |
| 289 | C4×M16 | — | 15 | 1 | no | — |
| 290 | C2×C4×C8 | — | 5 | 1 | no | — |
| 291 | C2×C4×C8 | — | 15 | 2 | no | — |
| 292 | C22×C3×C5 | C2×C42 | 1 | 1 | yes | characteristic |
| 293 | C2×D15 | C2×C42 | 1 | 2 | yes | — |
| 294 | C2×C5×D3 | C2×C42 | 1 | 2 | yes | — |
| 295 | C2×C3×D5 | — | 2 | 2 | no | — |
| 296 | C2×C3×D5 | C2×C42 | 1 | 1 | yes | characteristic |
| 297 | C2×C3×D5 | C23×C4 | 1 | 1 | yes | characteristic |
| 298 | D3×D5 | — | 2 | 4 | no | — |
| 299 | ΓL(1,𝔽16) | — | 2 | 4 | no | — |
| 300 | C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 301 | C3×AGL(1,𝔽5) | #131 | 1 | 4 | yes | complemented |
| 302 | C3×C4×C5 | C2×C42 | 1 | 1 | yes | characteristic |
| 303 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 304 | Dic15 | C2×C42 | 1 | 2 | yes | — |
| 305 | C3×Dic5 | C2×C42 | 1 | 1 | yes | characteristic |
| 306 | C3×Dic5 | C23×C4 | 1 | 1 | yes | characteristic |
| 307 | C5×Dic3 | C2×C42 | 1 | 2 | yes | — |
| 308 | C22×C3×C4 | — | 5 | 1 | no | — |
| 309 | C22×C3×C4 | — | 5 | 2 | no | — |
| 310 | C2×#67 | — | 5 | 2 | no | — |
| 311 | #235 | — | 5 | 1 | no | — |
| 312 | #235 | — | 5 | 2 | no | — |
| 313 | #235 | — | 5 | 1 | no | — |
| 314 | #235 | — | 5 | 2 | no | — |
| 315 | #235 | — | 5 | 1 | no | — |
| 316 | #235 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 317 | C2×D12 | — | 5 | 1 | no | — |
| 318 | C2×C4×D3 | — | 5 | 2 | no | — |
| 319 | C2×C4×D3 | — | 5 | 4 | no | — |
| 320 | C2×Dic6 | — | 5 | 1 | no | — |
| 321 | C2×C3×C8 | — | 5 | 1 | no | — |
| 322 | C2×C3×C8 | — | 5 | 1 | no | — |
| 323 | C2×C3×C8 | — | 5 | 2 | no | — |
| 324 | C2×C3×C8 | — | 5 | 2 | no | — |
| 325 | C2×C3×C8 | — | 5 | 1 | no | — |
| 326 | C2×C3×C8 | — | 5 | 1 | no | — |
| 327 | C2×C3×C8 | — | 5 | 1 | no | — |
| 328 | C2×C3×C8 | — | 5 | 1 | no | — |
| 329 | C2×C3×C8 | — | 5 | 1 | no | — |
| 330 | C2×C3×C8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 331 | C3×C42 | — | 5 | 1 | no | — |
| 332 | C3×C42 | — | 5 | 1 | no | — |
| 333 | C3×C42 | — | 5 | 2 | no | — |
| 334 | #217 | — | 5 | 2 | no | — |
| 335 | (C2×D3)⋊C4 | — | 5 | 4 | no | — |
| 336 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 337 | Dic3⋊C4 | — | 5 | 4 | no | — |
| 338 | C4×Dic3 | — | 5 | 2 | no | — |
| 339 | C4×Dic3 | — | 5 | 4 | no | — |
| 340 | #208 | — | 5 | 2 | no | — |
| 341 | #208 | — | 5 | 2 | no | — |
| 342 | #208 | — | 5 | 1 | no | — |
| 343 | #208 | — | 5 | 2 | no | — |
| 344 | #208 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 345 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 346 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 347 | ΓL(1,𝔽25) | — | 5 | 4 | no | — |
| 348 | ΓL(1,𝔽25) | — | 5 | 4 | no | — |
| 349 | ΓL(1,𝔽25) | — | 5 | 2 | no | — |
| 350 | ΓL(1,𝔽25) | — | 5 | 2 | no | — |
| 351 | ΓL(1,𝔽25) | — | 5 | 2 | no | — |
| 352 | ΓL(1,𝔽25) | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 353 | D3×C8 | — | 5 | 4 | no | — |
| 354 | D3×C8 | — | 5 | 4 | no | — |
| 355 | D3×C8 | — | 5 | 2 | no | — |
| 356 | D3×C8 | — | 5 | 2 | no | — |
| 357 | D3×C8 | — | 5 | 2 | no | — |
| 358 | D3×C8 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 359 | C22×D5 | — | 3 | 2 | no | — |
| 360 | C22×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 361 | C2×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 362 | C2×AGL(1,𝔽5) | — | 3 | 4 | no | — |
| 363 | C2×AGL(1,𝔽5) | — | 6 | 8 | no | — |
| 364 | C2×AGL(1,𝔽5) | C2×C4×D3 | 1 | 2 | yes | — |
| 365 | C2×AGL(1,𝔽5) | C2×C4×D3 | 1 | 2 | yes | — |
| 366 | C5×Q8 | — | 3 | 1 | no | — |
| 367 | C5×D4 | — | 3 | 2 | no | — |
| 368 | C5×D4 | — | 3 | 1 | no | — |
| 369 | C2×C4×C5 | — | 3 | 2 | no | — |
| 370 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 371 | C22⋊D5 | — | 3 | 2 | no | — |
| 372 | C22⋊D5 | — | 3 | 2 | no | — |
| 373 | C22⋊D5 | — | 3 | 2 | no | — |
| 374 | C2×Dic5 | — | 3 | 2 | no | — |
| 375 | C2×Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 376 | D20 | — | 3 | 2 | no | — |
| 377 | D20 | — | 3 | 1 | no | — |
| 378 | C4×D5 | — | 3 | 2 | no | — |
| 379 | C4×D5 | — | 3 | 2 | no | — |
| 380 | C4×D5 | — | 3 | 2 | no | — |
| 381 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 382 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 383 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 384 | C4×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 385 | Dic10 | — | 3 | 1 | no | — |
| 386 | Dic10 | — | 3 | 2 | no | — |
| 387 | #170 | — | 3 | 4 | no | — |
| 388 | #170 | C2×C4×D3 | 1 | 2 | yes | — |
| 389 | #170 | C2×C4×D3 | 1 | 2 | yes | — |
| 390 | C5×C8 | — | 3 | 2 | no | — |
| 391 | C5×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 392 | C5×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 393 | #168 | — | 3 | 2 | no | — |
| 394 | #168 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 395 | #168 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 396 | C2×#41 | — | 15 | 1 | no | — |
| 397 | #131 | — | 3 | 1 | no | — |
| 398 | #131 | — | 15 | 2 | no | — |
| 399 | #131 | — | 15 | 1 | no | — |
| 400 | #131 | — | 15 | 2 | no | — |
| 401 | #131 | — | 15 | 1 | no | — |
| 402 | #131 | — | 15 | 2 | no | — |
| 403 | #131 | — | 15 | 4 | no | — |
| 404 | #131 | — | 15 | 2 | no | — |
| 405 | #131 | — | 15 | 1 | no | — |
| 406 | C2×M16 | — | 15 | 2 | no | — |
| 407 | C2×M16 | — | 15 | 2 | no | — |
| 408 | C2×M16 | — | 15 | 1 | no | — |
| 409 | C2×M16 | — | 15 | 1 | no | — |
| 410 | C22×C8 | — | 5 | 1 | no | — |
| 411 | C22×C8 | — | 5 | 1 | no | — |
| 412 | C22×C8 | — | 15 | 2 | no | — |
| 413 | C22×C8 | — | 15 | 2 | no | — |
| 414 | C4×Q8 | — | 15 | 2 | no | — |
| 415 | C4×D4 | — | 15 | 2 | no | — |
| 416 | C4×D4 | — | 15 | 4 | no | — |
| 417 | #117 | — | 15 | 2 | no | — |
| 418 | #117 | — | 15 | 1 | no | — |
| 419 | C2×C42 | — | 5 | 1 | no | — |
| 420 | C2×C42 | — | 15 | 2 | no | — |
| 421 | #97 | — | 15 | 2 | no | — |
| 422 | #97 | — | 15 | 2 | no | — |
| 423 | #97 | — | 15 | 2 | no | — |
| 424 | C4×C8 | — | 5 | 1 | no | — |
| 425 | C4×C8 | — | 5 | 1 | no | — |
| 426 | C4×C8 | — | 5 | 1 | no | — |
| 427 | C4×C8 | — | 5 | 1 | no | — |
| 428 | C4×C8 | — | 15 | 2 | no | — |
| 429 | C4×C8 | — | 15 | 2 | no | — |
| 430 | C4×C8 | — | 15 | 2 | no | — |
| 431 | C2×C3×C5 | — | 2 | 1 | no | — |
| 432 | C2×C3×C5 | C22×C42 | 1 | 1 | yes | characteristic |
| 433 | D15 | — | 2 | 2 | no | — |
| 434 | C3×D5 | — | 2 | 1 | no | — |
| 435 | C3×D5 | C2×#131 | 1 | 2 | yes | — |
| 436 | C5×D3 | — | 2 | 2 | no | — |
| 437 | C23×C3 | — | 5 | 1 | no | — |
| 438 | C22×D3 | — | 5 | 2 | no | — |
| 439 | C2×C3×C4 | — | 5 | 2 | no | — |
| 440 | C2×C3×C4 | — | 5 | 1 | no | — |
| 441 | C2×C3×C4 | — | 5 | 1 | no | — |
| 442 | C2×C3×C4 | — | 5 | 1 | no | — |
| 443 | C2×C3×C4 | — | 5 | 1 | no | — |
| 444 | C2×C3×C4 | — | 5 | 1 | no | — |
| 445 | C2×C3×C4 | — | 5 | 2 | no | — |
| 446 | C2×C3×C4 | — | 10 | 4 | no | — |
| 447 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 448 | #67 | — | 5 | 2 | no | — |
| 449 | #67 | — | 5 | 2 | no | — |
| 450 | #67 | — | 5 | 2 | no | — |
| 451 | #67 | C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 452 | C2×Dic3 | — | 5 | 2 | no | — |
| 453 | C2×Dic3 | — | 5 | 4 | no | — |
| 454 | D12 | — | 5 | 2 | no | — |
| 455 | D12 | — | 5 | 1 | no | — |
| 456 | D12 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 457 | C4×D3 | — | 5 | 2 | no | — |
| 458 | C4×D3 | — | 5 | 2 | no | — |
| 459 | C4×D3 | — | 5 | 2 | no | — |
| 460 | C4×D3 | — | 10 | 8 | no | — |
| 461 | C4×D3 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 462 | Dic6 | — | 5 | 1 | no | — |
| 463 | Dic6 | — | 5 | 2 | no | — |
| 464 | Dic6 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 465 | C3×C8 | — | 5 | 2 | no | — |
| 466 | C3×C8 | — | 5 | 2 | no | — |
| 467 | C3×C8 | — | 5 | 1 | no | — |
| 468 | C3×C8 | — | 5 | 1 | no | — |
| 469 | C3×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 470 | C3×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 471 | C3⋊C8 | — | 5 | 4 | no | — |
| 472 | C3⋊C8 | — | 5 | 2 | no | — |
| 473 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 474 | C22×C5 | — | 3 | 2 | no | — |
| 475 | C22×C5 | C42×D3 | 1 | 1 | yes | characteristic |
| 476 | C2×D5 | — | 2 | 2 | no | — |
| 477 | C2×D5 | — | 3 | 2 | no | — |
| 478 | C2×D5 | — | 6 | 4 | no | — |
| 479 | C2×D5 | C42×D3 | 1 | 1 | yes | characteristic |
| 480 | C2×D5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 481 | AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 482 | AGL(1,𝔽5) | — | 6 | 4 | no | — |
| 483 | AGL(1,𝔽5) | #901 | 1 | 4 | yes | direct product factor |
| 484 | C4×C5 | — | 3 | 2 | no | — |
| 485 | C4×C5 | C42×D3 | 1 | 1 | yes | characteristic |
| 486 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 487 | Dic5 | — | 3 | 2 | no | — |
| 488 | Dic5 | C42×D3 | 1 | 1 | yes | characteristic |
| 489 | Dic5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 490 | #41 | — | 3 | 1 | no | — |
| 491 | #41 | — | 15 | 2 | no | — |
| 492 | #41 | — | 15 | 2 | no | — |
| 493 | #41 | — | 15 | 1 | no | — |
| 494 | #41 | — | 15 | 1 | no | — |
| 495 | #41 | — | 15 | 1 | no | — |
| 496 | C2×Q8 | — | 15 | 1 | no | — |
| 497 | C2×D4 | — | 15 | 1 | no | — |
| 498 | C2×D4 | — | 15 | 2 | no | — |
| 499 | C22×C4 | — | 5 | 1 | no | — |
| 500 | C22×C4 | — | 5 | 2 | no | — |
| 501 | C22×C4 | — | 15 | 2 | no | — |
| 502 | C22×C4 | — | 15 | 4 | no | — |
| 503 | M16 | — | 3 | 1 | no | — |
| 504 | M16 | — | 3 | 2 | no | — |
| 505 | M16 | — | 15 | 2 | no | — |
| 506 | M16 | — | 15 | 2 | no | — |
| 507 | M16 | — | 15 | 2 | no | — |
| 508 | M16 | — | 15 | 4 | no | — |
| 509 | M16 | — | 15 | 4 | no | — |
| 510 | M16 | — | 15 | 2 | no | — |
| 511 | M16 | — | 15 | 2 | no | — |
| 512 | M16 | — | 15 | 1 | no | — |
| 513 | M16 | — | 15 | 2 | no | — |
| 514 | C2×C8 | — | 3 | 2 | no | — |
| 515 | C2×C8 | — | 5 | 1 | no | — |
| 516 | C2×C8 | — | 5 | 1 | no | — |
| 517 | C2×C8 | — | 5 | 2 | no | — |
| 518 | C2×C8 | — | 5 | 2 | no | — |
| 519 | C2×C8 | — | 5 | 1 | no | — |
| 520 | C2×C8 | — | 5 | 1 | no | — |
| 521 | C2×C8 | — | 5 | 1 | no | — |
| 522 | C2×C8 | — | 5 | 1 | no | — |
| 523 | C2×C8 | — | 5 | 1 | no | — |
| 524 | C2×C8 | — | 15 | 2 | no | — |
| 525 | C2×C8 | — | 15 | 2 | no | — |
| 526 | C2×C8 | — | 15 | 2 | no | — |
| 527 | C2×C8 | — | 15 | 4 | no | — |
| 528 | C2×C8 | — | 15 | 4 | no | — |
| 529 | C2×C8 | — | 15 | 2 | no | — |
| 530 | C2×C8 | — | 15 | 2 | no | — |
| 531 | C2×C8 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 532 | C4⋊C4 | — | 15 | 4 | no | — |
| 533 | C4⋊C4 | — | 15 | 2 | no | — |
| 534 | C22⋊C4 | — | 15 | 4 | no | — |
| 535 | C22⋊C4 | — | 15 | 2 | no | — |
| 536 | C42 | — | 5 | 1 | no | — |
| 537 | C42 | — | 5 | 1 | no | — |
| 538 | C42 | — | 5 | 2 | no | — |
| 539 | C42 | — | 15 | 2 | no | — |
| 540 | C42 | — | 15 | 4 | no | — |
| 541 | C3×C5 | C4×#131 | 1 | 1 | yes | characteristic, complemented, Hall |
| 542 | C22×C3 | — | 5 | 1 | no | — |
| 543 | C22×C3 | — | 5 | 1 | no | — |
| 544 | C22×C3 | — | 10 | 2 | no | — |
| 545 | C22×C3 | C2×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 546 | C2×D3 | — | 5 | 2 | no | — |
| 547 | C2×D3 | — | 10 | 4 | no | — |
| 548 | C2×D3 | C2×C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 549 | C3×C4 | — | 5 | 4 | no | — |
| 550 | C3×C4 | — | 5 | 1 | no | — |
| 551 | C3×C4 | — | 5 | 1 | no | — |
| 552 | C3×C4 | — | 10 | 2 | no | — |
| 553 | C3×C4 | C2×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 554 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 555 | Dic3 | — | 5 | 2 | no | — |
| 556 | Dic3 | — | 10 | 4 | no | — |
| 557 | Dic3 | C2×C4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 558 | C2×C5 | — | 2 | 1 | no | — |
| 559 | C2×C5 | — | 6 | 2 | no | — |
| 560 | C2×C5 | C2×C42×D3 | 1 | 1 | yes | characteristic |
| 561 | D5 | — | 2 | 1 | no | — |
| 562 | D5 | — | 6 | 2 | no | — |
| 563 | D5 | C2×#901 | 1 | 2 | yes | — |
| 564 | C23 | — | 5 | 1 | no | — |
| 565 | C23 | — | 15 | 2 | no | — |
| 566 | Q8 | — | 3 | 1 | no | — |
| 567 | Q8 | — | 15 | 2 | no | — |
| 568 | Q8 | — | 15 | 1 | no | — |
| 569 | D4 | — | 3 | 2 | no | — |
| 570 | D4 | — | 3 | 1 | no | — |
| 571 | D4 | — | 15 | 2 | no | — |
| 572 | D4 | — | 15 | 2 | no | — |
| 573 | D4 | — | 15 | 2 | no | — |
| 574 | D4 | — | 15 | 2 | no | — |
| 575 | D4 | — | 15 | 1 | no | — |
| 576 | C2×C4 | — | 3 | 2 | no | — |
| 577 | C2×C4 | — | 5 | 2 | no | — |
| 578 | C2×C4 | — | 5 | 1 | no | — |
| 579 | C2×C4 | — | 5 | 1 | no | — |
| 580 | C2×C4 | — | 5 | 1 | no | — |
| 581 | C2×C4 | — | 5 | 1 | no | — |
| 582 | C2×C4 | — | 5 | 1 | no | — |
| 583 | C2×C4 | — | 5 | 2 | no | — |
| 584 | C2×C4 | — | 10 | 4 | no | — |
| 585 | C2×C4 | — | 15 | 2 | no | — |
| 586 | C2×C4 | — | 15 | 2 | no | — |
| 587 | C2×C4 | — | 15 | 2 | no | — |
| 588 | C2×C4 | — | 15 | 2 | no | — |
| 589 | C2×C4 | — | 15 | 4 | no | — |
| 590 | C2×C4 | — | 30 | 8 | no | — |
| 591 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 592 | C8 | — | 3 | 2 | no | — |
| 593 | C8 | — | 5 | 2 | no | — |
| 594 | C8 | — | 5 | 2 | no | — |
| 595 | C8 | — | 5 | 1 | no | — |
| 596 | C8 | — | 5 | 1 | no | — |
| 597 | C8 | — | 15 | 4 | no | — |
| 598 | C8 | — | 15 | 2 | no | — |
| 599 | C8 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 600 | C8 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 601 | C2×C3 | — | 2 | 1 | no | — |
| 602 | C2×C3 | — | 5 | 2 | no | — |
| 603 | C2×C3 | — | 10 | 1 | no | — |
| 604 | C2×C3 | C22×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 605 | D3 | — | 2 | 2 | no | — |
| 606 | D3 | — | 10 | 2 | no | — |
| 607 | C5 | C4×#901 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 608 | C22 | — | 3 | 2 | no | — |
| 609 | C22 | — | 5 | 1 | no | — |
| 610 | C22 | — | 5 | 1 | no | — |
| 611 | C22 | — | 10 | 2 | no | — |
| 612 | C22 | — | 15 | 2 | no | — |
| 613 | C22 | — | 30 | 4 | no | — |
| 614 | C22 | C4×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 615 | C4 | — | 3 | 2 | no | — |
| 616 | C4 | — | 5 | 4 | no | — |
| 617 | C4 | — | 5 | 1 | no | — |
| 618 | C4 | — | 5 | 1 | no | — |
| 619 | C4 | — | 10 | 2 | no | — |
| 620 | C4 | — | 15 | 2 | no | — |
| 621 | C4 | — | 30 | 4 | no | — |
| 622 | C4 | C4×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 623 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 624 | C3 | AGL(1,𝔽5)×#131 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 625 | C2 | — | 2 | 1 | no | — |
| 626 | C2 | — | 5 | 2 | no | — |
| 627 | C2 | — | 6 | 2 | no | — |
| 628 | C2 | — | 10 | 1 | no | — |
| 629 | C2 | — | 30 | 2 | no | — |
| 630 | C2 | C2×C4×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta