Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1476 conjugacy classes of subgroups.
The subgroup lattice has 996 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11757048 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11756835 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11756823 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#91239 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#65784 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11751974 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11751973 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | D3×#4010 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11751959 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11751720 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D5⋊#825 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10617562 | — | 3 | 1 | no | maximal, Hall |
| 13 | #92098 | C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | C5×#1007 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | C2×C3×#713 | C22 | 1 | 1 | yes | characteristic |
| 16 | #92035 | — | 2 | 1 | no | — |
| 17 | #92035 | C4 | 1 | 2 | yes | complemented |
| 18 | #92034 | — | 2 | 1 | no | — |
| 19 | #92034 | C22 | 1 | 2 | yes | — |
| 20 | D3×#713 | — | 2 | 1 | no | — |
| 21 | D3×#713 | C22 | 1 | 2 | yes | — |
| 22 | #92028 | — | 2 | 1 | no | — |
| 23 | #92028 | C4 | 1 | 2 | yes | complemented |
| 24 | #92017 | — | 2 | 2 | no | — |
| 25 | #92017 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | #92017 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | D5×#235 | — | 2 | 2 | no | — |
| 28 | D5×#235 | C22 | 1 | 1 | yes | characteristic |
| 29 | D5×#235 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×C4×ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#6758 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#4130 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C3×D5⋊M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #67⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 35 | #91929 | — | 2 | 2 | no | — |
| 36 | #91921 | — | 2 | 1 | no | — |
| 37 | C4×D3×AGL(1,𝔽5) | C22 | 1 | 2 | yes | complemented |
| 38 | #91915 | C22 | 1 | 2 | yes | complemented |
| 39 | #91914 | — | 2 | 1 | no | — |
| 40 | D3×#700 | C22 | 1 | 2 | yes | complemented |
| 41 | #91911 | — | 2 | 1 | no | — |
| 42 | #91909 | C22 | 1 | 2 | yes | complemented |
| 43 | ΓL(1,𝔽16)⋊Q8 | — | 2 | 1 | no | — |
| 44 | #91239 | C22 | 1 | 2 | yes | complemented |
| 45 | #91239 | C22 | 1 | 2 | yes | complemented |
| 46 | C3×#4010 | C22 | 1 | 2 | yes | complemented |
| 47 | C3×#4010 | C22 | 1 | 2 | yes | complemented |
| 48 | #91158 | C22 | 1 | 2 | yes | complemented |
| 49 | #91157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #91157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #91156 | C22 | 1 | 2 | yes | complemented |
| 52 | #91155 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #91155 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #78992 | — | 5 | 1 | no | maximal, Hall |
| 55 | #66287 | — | 3 | 1 | no | — |
| 56 | #41×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 57 | #66264 | — | 3 | 1 | no | — |
| 58 | #65795 | — | 3 | 2 | no | — |
| 59 | #65795 | — | 3 | 1 | no | — |
| 60 | D5⋊#104 | — | 3 | 2 | no | — |
| 61 | D5⋊#104 | — | 3 | 1 | no | — |
| 62 | #65784 | — | 3 | 2 | no | — |
| 63 | #65784 | D3 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×#4010 | — | 3 | 2 | no | — |
| 65 | C2×#4010 | — | 3 | 1 | no | — |
| 66 | C22×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 67 | C2×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 68 | C2×C3×C5×Q8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 69 | #6821 | — | 2 | 1 | no | — |
| 70 | #6821 | C2×C4 | 1 | 2 | yes | complemented |
| 71 | Q8×D15 | — | 2 | 1 | no | — |
| 72 | Q8×D15 | C2×C4 | 1 | 2 | yes | complemented |
| 73 | #6817 | — | 2 | 2 | no | — |
| 74 | #6817 | C2×C4 | 1 | 1 | yes | characteristic |
| 75 | #6817 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 76 | C5×#239 | — | 2 | 1 | no | — |
| 77 | C5×#239 | C2×C4 | 1 | 2 | yes | complemented |
| 78 | C5×D3×Q8 | — | 2 | 1 | no | — |
| 79 | C5×D3×Q8 | C2×C4 | 1 | 2 | yes | complemented |
| 80 | C5×#235 | — | 2 | 2 | no | — |
| 81 | C5×#235 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | C5×#235 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 83 | C3×#713 | — | 2 | 1 | no | — |
| 84 | C3×#713 | — | 2 | 1 | no | — |
| 85 | C3×#713 | C2×C4 | 1 | 2 | yes | complemented |
| 86 | C3×#713 | C23 | 1 | 2 | yes | — |
| 87 | C2×C3×D20 | — | 2 | 1 | no | — |
| 88 | C2×C3×D20 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 89 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 90 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 91 | D5×#67 | — | 2 | 1 | no | — |
| 92 | D5×#67 | — | 2 | 2 | no | — |
| 93 | D5×#67 | — | 2 | 2 | no | — |
| 94 | D5×#67 | D4 | 1 | 2 | yes | — |
| 95 | #6782 | — | 2 | 1 | no | — |
| 96 | #6782 | D4 | 1 | 2 | yes | — |
| 97 | #6777 | — | 2 | 2 | no | — |
| 98 | #6777 | — | 2 | 1 | no | — |
| 99 | #6777 | — | 2 | 2 | no | — |
| 100 | #6777 | C2×C4 | 1 | 2 | yes | complemented |
| 101 | D3×D20 | — | 2 | 2 | no | — |
| 102 | D3×D20 | — | 2 | 1 | no | — |
| 103 | D3×D20 | — | 2 | 2 | no | — |
| 104 | D3×D20 | C2×C4 | 1 | 2 | yes | complemented |
| 105 | D5×D12 | — | 2 | 2 | no | — |
| 106 | D5×D12 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 107 | D5×D12 | D4 | 1 | 1 | yes | characteristic |
| 108 | C4×D3×D5 | — | 2 | 1 | no | — |
| 109 | C4×D3×D5 | — | 2 | 2 | no | — |
| 110 | C4×D3×D5 | — | 2 | 2 | no | — |
| 111 | C4×D3×D5 | C23 | 1 | 2 | yes | — |
| 112 | #6773 | — | 2 | 2 | no | — |
| 113 | #6773 | D4 | 1 | 1 | yes | characteristic |
| 114 | #6773 | C23 | 1 | 1 | yes | characteristic |
| 115 | #6772 | — | 2 | 2 | no | — |
| 116 | #6772 | D4 | 1 | 1 | yes | characteristic |
| 117 | #6772 | C23 | 1 | 1 | yes | characteristic |
| 118 | #6771 | — | 2 | 1 | no | — |
| 119 | #6771 | — | 2 | 2 | no | — |
| 120 | #6771 | — | 2 | 2 | no | — |
| 121 | #6771 | C2×C4 | 1 | 2 | yes | — |
| 122 | #6766 | — | 2 | 1 | no | — |
| 123 | #6766 | — | 2 | 2 | no | — |
| 124 | #6766 | — | 2 | 2 | no | — |
| 125 | #6766 | C2×C4 | 1 | 2 | yes | complemented |
| 126 | #6765 | — | 2 | 1 | no | — |
| 127 | #6765 | — | 2 | 2 | no | — |
| 128 | #6765 | — | 2 | 2 | no | — |
| 129 | #6765 | C2×C4 | 1 | 2 | yes | complemented |
| 130 | D5×Dic6 | — | 2 | 2 | no | — |
| 131 | D5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 132 | D5×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 133 | C2×C3⋊#170 | — | 2 | 1 | no | — |
| 134 | C4×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 135 | C4×ΓL(1,𝔽16) | C23 | 1 | 1 | yes | characteristic |
| 136 | C4×ΓL(1,𝔽16) | C23 | 1 | 1 | yes | characteristic |
| 137 | #6758 | — | 2 | 1 | no | — |
| 138 | #6758 | C23 | 1 | 2 | yes | — |
| 139 | C3×C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 140 | C3×#704 | — | 2 | 1 | no | — |
| 141 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 142 | C3×C4×AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 143 | C3×#700 | C23 | 1 | 1 | yes | characteristic |
| 144 | C3×#700 | C23 | 1 | 1 | yes | characteristic |
| 145 | C3×D5⋊C8 | — | 2 | 1 | no | — |
| 146 | #6740 | — | 2 | 2 | no | — |
| 147 | #6739 | — | 2 | 2 | no | — |
| 148 | #6738 | — | 2 | 2 | no | — |
| 149 | D3×#170 | — | 2 | 2 | no | — |
| 150 | Dic3⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 151 | (C2×D3)⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 152 | Dic3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 153 | #5964 | — | 5 | 1 | no | — |
| 154 | #5745 | — | 5 | 1 | no | — |
| 155 | #5522 | — | 5 | 1 | no | — |
| 156 | C3×#421 | — | 5 | 1 | no | — |
| 157 | C2×#837 | — | 5 | 1 | no | — |
| 158 | C2×#825 | — | 5 | 1 | no | — |
| 159 | #5005 | — | 5 | 1 | no | — |
| 160 | #4821 | — | 5 | 2 | no | — |
| 161 | #4821 | — | 5 | 2 | no | — |
| 162 | D3×#104 | — | 5 | 2 | no | — |
| 163 | D3×#104 | — | 5 | 2 | no | — |
| 164 | C5×2−1+4 | — | 3 | 1 | no | — |
| 165 | #4149 | — | 3 | 1 | no | — |
| 166 | #4149 | — | 3 | 2 | no | — |
| 167 | #4149 | — | 3 | 1 | no | — |
| 168 | #4149 | — | 6 | 2 | no | — |
| 169 | #4149 | — | 6 | 1 | no | — |
| 170 | D5×#41 | — | 3 | 1 | no | — |
| 171 | D5×#41 | — | 3 | 2 | no | — |
| 172 | D5×#41 | — | 3 | 1 | no | — |
| 173 | D5×#41 | — | 6 | 2 | no | — |
| 174 | D5×#41 | — | 6 | 1 | no | — |
| 175 | #4147 | — | 3 | 1 | no | — |
| 176 | #4147 | — | 3 | 2 | no | — |
| 177 | #4147 | — | 6 | 1 | no | — |
| 178 | C2×#713 | — | 3 | 2 | no | — |
| 179 | C2×#713 | — | 6 | 1 | no | — |
| 180 | C2×#713 | C2×D3 | 1 | 1 | yes | characteristic |
| 181 | Q8×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 182 | #4133 | — | 6 | 1 | no | — |
| 183 | D4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 184 | D4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 185 | #4131 | — | 6 | 1 | no | — |
| 186 | #4131 | — | 6 | 2 | no | — |
| 187 | #4130 | — | 3 | 2 | no | — |
| 188 | #4130 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 189 | C2×C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 190 | C2×C4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 191 | D5⋊M16 | — | 3 | 2 | no | — |
| 192 | D5⋊M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 193 | C2×#700 | — | 3 | 1 | no | — |
| 194 | C2×#700 | — | 3 | 2 | no | — |
| 195 | #4010 | — | 3 | 2 | no | — |
| 196 | #4010 | — | 3 | 2 | no | — |
| 197 | #4010 | — | 3 | 2 | no | — |
| 198 | #4010 | — | 3 | 1 | no | — |
| 199 | #4010 | — | 3 | 1 | no | — |
| 200 | #4010 | C2×D3 | 1 | 2 | yes | complemented |
| 201 | #4010 | C2×D3 | 1 | 2 | yes | complemented |
| 202 | #4008 | — | 3 | 2 | no | — |
| 203 | #4008 | — | 3 | 1 | no | — |
| 204 | #4008 | — | 3 | 1 | no | — |
| 205 | #2901 | — | 15 | 1 | no | Sylow |
| 206 | C22×C3×D5 | — | 2 | 1 | no | — |
| 207 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C2×D3×D5 | — | 2 | 2 | no | — |
| 209 | C2×D3×D5 | — | 2 | 2 | no | — |
| 210 | C2×D3×D5 | — | 2 | 1 | no | — |
| 211 | C2×D3×D5 | C2×D4 | 1 | 2 | yes | — |
| 212 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 213 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 214 | C2×ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 215 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 216 | D3×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 217 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 218 | C3×C5×Q8 | C22×C4 | 1 | 2 | yes | — |
| 219 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 220 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 221 | #1220 | — | 2 | 1 | no | — |
| 222 | #1220 | C22⋊C4 | 1 | 2 | yes | — |
| 223 | D60 | — | 2 | 2 | no | — |
| 224 | D60 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 225 | D60 | C22×C4 | 1 | 1 | yes | characteristic |
| 226 | C4×D15 | — | 2 | 2 | no | — |
| 227 | C4×D15 | — | 2 | 1 | no | — |
| 228 | C4×D15 | — | 2 | 2 | no | — |
| 229 | C4×D15 | C22×C4 | 1 | 2 | yes | — |
| 230 | Dic30 | — | 2 | 2 | no | — |
| 231 | Dic30 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 232 | Dic30 | C22×C4 | 1 | 1 | yes | characteristic |
| 233 | C5×#67 | — | 2 | 1 | no | — |
| 234 | C5×#67 | C22⋊C4 | 1 | 2 | yes | — |
| 235 | C5×D12 | — | 2 | 2 | no | — |
| 236 | C5×D12 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 237 | C5×D12 | C22×C4 | 1 | 1 | yes | characteristic |
| 238 | C4×C5×D3 | — | 2 | 2 | no | — |
| 239 | C4×C5×D3 | — | 2 | 1 | no | — |
| 240 | C4×C5×D3 | — | 2 | 2 | no | — |
| 241 | C4×C5×D3 | C22×C4 | 1 | 2 | yes | — |
| 242 | C5×Dic6 | — | 2 | 2 | no | — |
| 243 | C5×Dic6 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 244 | C5×Dic6 | C22×C4 | 1 | 1 | yes | characteristic |
| 245 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C3×D20 | — | 2 | 2 | no | — |
| 247 | C3×D20 | — | 2 | 2 | no | — |
| 248 | C3×D20 | — | 2 | 1 | no | — |
| 249 | C3×D20 | C22×C4 | 1 | 2 | yes | — |
| 250 | C3×C4×D5 | — | 2 | 2 | no | — |
| 251 | C3×C4×D5 | — | 2 | 2 | no | — |
| 252 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 253 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C3×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 256 | #1204 | — | 2 | 1 | no | — |
| 257 | #1204 | C22⋊C4 | 1 | 2 | yes | — |
| 258 | #1203 | — | 2 | 1 | no | — |
| 259 | #1203 | C22⋊C4 | 1 | 2 | yes | — |
| 260 | #1202 | — | 2 | 2 | no | — |
| 261 | #1202 | — | 2 | 1 | no | — |
| 262 | #1202 | — | 2 | 2 | no | — |
| 263 | #1202 | C22⋊C4 | 1 | 2 | yes | — |
| 264 | #1201 | — | 2 | 2 | no | — |
| 265 | #1201 | — | 2 | 1 | no | — |
| 266 | #1201 | — | 2 | 2 | no | — |
| 267 | #1201 | C22⋊C4 | 1 | 2 | yes | — |
| 268 | #1200 | — | 2 | 1 | no | — |
| 269 | #1200 | C2×D4 | 1 | 2 | yes | — |
| 270 | D3×Dic5 | — | 2 | 1 | no | — |
| 271 | D3×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 272 | D5×Dic3 | — | 2 | 1 | no | — |
| 273 | D5×Dic3 | — | 2 | 2 | no | — |
| 274 | D5×Dic3 | — | 2 | 2 | no | — |
| 275 | D5×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 276 | C3⋊#170 | — | 2 | 2 | no | — |
| 277 | C3×#170 | — | 2 | 1 | no | — |
| 278 | C3×#170 | — | 2 | 1 | no | — |
| 279 | C2×C3×#41 | — | 5 | 1 | no | — |
| 280 | #1010 | — | 5 | 2 | no | — |
| 281 | #1010 | — | 10 | 1 | no | — |
| 282 | #1009 | — | 5 | 2 | no | — |
| 283 | #1009 | — | 10 | 1 | no | — |
| 284 | D3×#41 | — | 5 | 2 | no | — |
| 285 | D3×#41 | — | 5 | 2 | no | — |
| 286 | D3×#41 | — | 10 | 1 | no | — |
| 287 | D3×#41 | — | 10 | 1 | no | — |
| 288 | #1007 | — | 5 | 1 | no | — |
| 289 | #1007 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 290 | #1004 | — | 5 | 1 | no | — |
| 291 | #1004 | — | 5 | 1 | no | — |
| 292 | #1004 | — | 10 | 2 | no | — |
| 293 | C2×#235 | — | 5 | 1 | no | — |
| 294 | C2×#235 | — | 5 | 1 | no | — |
| 295 | C2×#235 | — | 10 | 2 | no | — |
| 296 | C2×C3×M16 | — | 5 | 1 | no | — |
| 297 | C3×#117 | — | 5 | 1 | no | — |
| 298 | C2×C4×Dic3 | — | 5 | 1 | no | — |
| 299 | C2×#208 | — | 5 | 1 | no | — |
| 300 | #907 | — | 10 | 2 | no | — |
| 301 | D3×M16 | — | 5 | 2 | no | — |
| 302 | D3×M16 | — | 5 | 2 | no | — |
| 303 | #901 | — | 10 | 1 | no | — |
| 304 | #901 | — | 10 | 1 | no | — |
| 305 | #893 | — | 10 | 1 | no | — |
| 306 | #887 | — | 10 | 1 | no | — |
| 307 | #67⋊C4 | — | 10 | 2 | no | — |
| 308 | #872 | — | 5 | 2 | no | — |
| 309 | C42×D3 | — | 5 | 2 | no | — |
| 310 | C3×#104 | — | 5 | 2 | no | — |
| 311 | C3×#104 | — | 5 | 2 | no | — |
| 312 | #837 | — | 5 | 2 | no | — |
| 313 | #837 | — | 5 | 2 | no | — |
| 314 | #825 | — | 5 | 1 | no | — |
| 315 | #825 | — | 5 | 1 | no | — |
| 316 | #825 | — | 5 | 1 | no | — |
| 317 | #825 | — | 5 | 1 | no | — |
| 318 | #805 | — | 5 | 2 | no | — |
| 319 | #805 | — | 5 | 2 | no | — |
| 320 | C22×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 321 | C22×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 322 | C5×#41 | — | 3 | 1 | no | — |
| 323 | C5×#41 | — | 3 | 2 | no | — |
| 324 | C5×#41 | — | 3 | 1 | no | — |
| 325 | C5×#41 | — | 6 | 2 | no | — |
| 326 | C5×#41 | — | 6 | 1 | no | — |
| 327 | C2×C5×Q8 | — | 3 | 2 | no | — |
| 328 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 329 | C2×C5×Q8 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 330 | #713 | — | 2 | 1 | no | — |
| 331 | #713 | — | 2 | 1 | no | — |
| 332 | #713 | — | 3 | 1 | no | — |
| 333 | #713 | — | 3 | 2 | no | — |
| 334 | #713 | — | 3 | 2 | no | — |
| 335 | #713 | — | 3 | 1 | no | — |
| 336 | #713 | — | 6 | 2 | no | — |
| 337 | #713 | — | 6 | 2 | no | — |
| 338 | #713 | — | 6 | 2 | no | — |
| 339 | #713 | — | 6 | 1 | no | — |
| 340 | #713 | — | 6 | 1 | no | — |
| 341 | #713 | C4×D3 | 1 | 2 | yes | complemented |
| 342 | #713 | C22×D3 | 1 | 2 | yes | — |
| 343 | Q8×D5 | — | 3 | 1 | no | — |
| 344 | Q8×D5 | — | 3 | 2 | no | — |
| 345 | Q8×D5 | — | 3 | 1 | no | — |
| 346 | Q8×D5 | — | 6 | 2 | no | — |
| 347 | Q8×D5 | — | 6 | 1 | no | — |
| 348 | #711 | — | 3 | 2 | no | — |
| 349 | #711 | — | 3 | 1 | no | — |
| 350 | #711 | — | 3 | 1 | no | — |
| 351 | #711 | — | 6 | 2 | no | — |
| 352 | #711 | — | 6 | 1 | no | — |
| 353 | D4×D5 | — | 3 | 2 | no | — |
| 354 | D4×D5 | — | 3 | 2 | no | — |
| 355 | D4×D5 | — | 3 | 1 | no | — |
| 356 | D4×D5 | — | 3 | 1 | no | — |
| 357 | D4×D5 | — | 6 | 2 | no | — |
| 358 | D4×D5 | — | 6 | 2 | no | — |
| 359 | D4×D5 | — | 6 | 1 | no | — |
| 360 | D4×D5 | — | 6 | 2 | no | — |
| 361 | D4×D5 | — | 6 | 2 | no | — |
| 362 | D4×D5 | — | 6 | 2 | no | — |
| 363 | D4×D5 | — | 6 | 1 | no | — |
| 364 | #709 | — | 3 | 1 | no | — |
| 365 | #709 | — | 3 | 2 | no | — |
| 366 | #709 | — | 3 | 1 | no | — |
| 367 | #709 | — | 3 | 2 | no | — |
| 368 | #709 | — | 6 | 2 | no | — |
| 369 | #709 | — | 6 | 1 | no | — |
| 370 | #709 | — | 6 | 2 | no | — |
| 371 | #709 | — | 6 | 2 | no | — |
| 372 | #709 | — | 6 | 2 | no | — |
| 373 | #709 | — | 6 | 2 | no | — |
| 374 | #709 | — | 6 | 1 | no | — |
| 375 | C2×D20 | — | 2 | 1 | no | — |
| 376 | C2×D20 | — | 3 | 2 | no | — |
| 377 | C2×D20 | — | 6 | 2 | no | — |
| 378 | C2×D20 | — | 6 | 1 | no | — |
| 379 | C2×D20 | — | 6 | 2 | no | — |
| 380 | C2×D20 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 381 | C2×C4×D5 | — | 2 | 1 | no | — |
| 382 | C2×C4×D5 | — | 3 | 2 | no | — |
| 383 | C2×C4×D5 | — | 6 | 2 | no | — |
| 384 | C2×C4×D5 | — | 6 | 2 | no | — |
| 385 | C2×C4×D5 | — | 6 | 1 | no | — |
| 386 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 387 | C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 388 | C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 389 | #704 | — | 2 | 1 | no | — |
| 390 | #704 | — | 6 | 2 | no | — |
| 391 | C2×#170 | — | 6 | 2 | no | — |
| 392 | C2×#170 | — | 6 | 1 | no | — |
| 393 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 394 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 395 | C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 396 | C4×AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 397 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 398 | C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 399 | C4×AGL(1,𝔽5) | C22×D3 | 1 | 2 | yes | — |
| 400 | #700 | — | 3 | 2 | no | — |
| 401 | #700 | — | 6 | 2 | no | — |
| 402 | #700 | — | 6 | 1 | no | — |
| 403 | #700 | C22×D3 | 1 | 1 | yes | characteristic |
| 404 | #700 | C22×D3 | 1 | 1 | yes | characteristic |
| 405 | D5⋊C8 | — | 2 | 1 | no | — |
| 406 | D5⋊C8 | — | 6 | 2 | no | — |
| 407 | #585 | — | 15 | 1 | no | — |
| 408 | #568 | — | 15 | 1 | no | — |
| 409 | C4×#41 | — | 15 | 1 | no | — |
| 410 | #421 | — | 5 | 1 | no | — |
| 411 | #421 | — | 15 | 2 | no | — |
| 412 | #421 | — | 15 | 2 | no | — |
| 413 | #421 | — | 15 | 1 | no | — |
| 414 | C2×#104 | — | 15 | 2 | no | — |
| 415 | C2×#104 | — | 15 | 2 | no | — |
| 416 | C2×#104 | — | 15 | 1 | no | — |
| 417 | C2×#104 | — | 15 | 1 | no | — |
| 418 | C22×C3×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 419 | C2×D15 | — | 2 | 1 | no | — |
| 420 | C2×D15 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 421 | C2×C5×D3 | — | 2 | 1 | no | — |
| 422 | C2×C5×D3 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 423 | C2×C3×D5 | — | 2 | 2 | no | — |
| 424 | C2×C3×D5 | — | 4 | 1 | no | — |
| 425 | C2×C3×D5 | — | 8 | 1 | no | — |
| 426 | C2×C3×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 427 | C2×C3×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 428 | D3×D5 | — | 4 | 2 | no | — |
| 429 | D3×D5 | — | 8 | 2 | no | — |
| 430 | D3×D5 | — | 8 | 1 | no | — |
| 431 | D3×D5 | — | 8 | 2 | no | — |
| 432 | ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 433 | ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 434 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 435 | C3×C4×C5 | — | 2 | 2 | no | — |
| 436 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 437 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 438 | Dic15 | — | 2 | 1 | no | — |
| 439 | Dic15 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 440 | C3×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 441 | C3×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 442 | C5×Dic3 | — | 2 | 1 | no | — |
| 443 | C5×Dic3 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 444 | C3×#41 | — | 5 | 2 | no | — |
| 445 | C3×#41 | — | 5 | 2 | no | — |
| 446 | C3×#41 | — | 10 | 1 | no | — |
| 447 | C3×#41 | — | 10 | 1 | no | — |
| 448 | C2×C3×Q8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 449 | C2×C3×D4 | — | 5 | 1 | no | — |
| 450 | C2×C3×D4 | — | 10 | 1 | no | — |
| 451 | C22×C3×C4 | — | 5 | 1 | no | — |
| 452 | C22×C3×C4 | — | 10 | 1 | no | — |
| 453 | C2×#67 | — | 5 | 2 | no | — |
| 454 | C2×#67 | — | 10 | 2 | no | — |
| 455 | C2×#67 | — | 10 | 1 | no | — |
| 456 | C2×#67 | — | 10 | 2 | no | — |
| 457 | C22×Dic3 | — | 10 | 1 | no | — |
| 458 | #239 | — | 2 | 1 | no | — |
| 459 | #239 | — | 5 | 2 | no | — |
| 460 | #239 | — | 10 | 1 | no | — |
| 461 | #239 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 462 | D3×Q8 | — | 2 | 1 | no | — |
| 463 | D3×Q8 | — | 5 | 2 | no | — |
| 464 | D3×Q8 | — | 10 | 1 | no | — |
| 465 | D3×Q8 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 466 | #237 | — | 5 | 2 | no | — |
| 467 | #237 | — | 5 | 2 | no | — |
| 468 | #237 | — | 10 | 2 | no | — |
| 469 | #237 | — | 10 | 2 | no | — |
| 470 | #237 | — | 10 | 1 | no | — |
| 471 | #237 | — | 10 | 2 | no | — |
| 472 | #237 | — | 10 | 2 | no | — |
| 473 | #237 | — | 10 | 1 | no | — |
| 474 | D3×D4 | — | 5 | 2 | no | — |
| 475 | D3×D4 | — | 5 | 2 | no | — |
| 476 | D3×D4 | — | 10 | 1 | no | — |
| 477 | D3×D4 | — | 10 | 2 | no | — |
| 478 | D3×D4 | — | 10 | 2 | no | — |
| 479 | D3×D4 | — | 10 | 2 | no | — |
| 480 | D3×D4 | — | 10 | 2 | no | — |
| 481 | D3×D4 | — | 10 | 1 | no | — |
| 482 | #235 | — | 2 | 2 | no | — |
| 483 | #235 | — | 5 | 1 | no | — |
| 484 | #235 | — | 5 | 2 | no | — |
| 485 | #235 | — | 5 | 1 | no | — |
| 486 | #235 | — | 5 | 2 | no | — |
| 487 | #235 | — | 5 | 1 | no | — |
| 488 | #235 | — | 5 | 1 | no | — |
| 489 | #235 | — | 5 | 1 | no | — |
| 490 | #235 | — | 5 | 1 | no | — |
| 491 | #235 | — | 10 | 2 | no | — |
| 492 | #235 | — | 10 | 2 | no | — |
| 493 | #235 | — | 10 | 2 | no | — |
| 494 | #235 | — | 10 | 1 | no | — |
| 495 | #235 | — | 10 | 2 | no | — |
| 496 | #235 | — | 10 | 1 | no | — |
| 497 | #235 | — | 10 | 2 | no | — |
| 498 | #235 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 499 | #235 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 500 | C2×D12 | — | 5 | 1 | no | — |
| 501 | C2×D12 | — | 5 | 1 | no | — |
| 502 | C2×D12 | — | 10 | 2 | no | — |
| 503 | C2×C4×D3 | — | 5 | 2 | no | — |
| 504 | C2×C4×D3 | — | 10 | 2 | no | — |
| 505 | C2×C4×D3 | — | 10 | 2 | no | — |
| 506 | C2×C4×D3 | — | 10 | 1 | no | — |
| 507 | C2×C4×D3 | — | 10 | 2 | no | — |
| 508 | C2×Dic6 | — | 5 | 1 | no | — |
| 509 | C2×Dic6 | — | 5 | 1 | no | — |
| 510 | C2×Dic6 | — | 10 | 2 | no | — |
| 511 | C3×M16 | — | 5 | 1 | no | — |
| 512 | C3×M16 | — | 5 | 1 | no | — |
| 513 | C3×M16 | — | 10 | 1 | no | — |
| 514 | C2×C3×C8 | — | 10 | 1 | no | — |
| 515 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 516 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 517 | C3×C42 | — | 5 | 2 | no | — |
| 518 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 519 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 520 | C4×Dic3 | — | 5 | 1 | no | — |
| 521 | C4×Dic3 | — | 5 | 1 | no | — |
| 522 | C4×Dic3 | — | 10 | 2 | no | — |
| 523 | C4×Dic3 | — | 10 | 1 | no | — |
| 524 | #208 | — | 5 | 2 | no | — |
| 525 | #208 | — | 10 | 1 | no | — |
| 526 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 527 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 528 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 529 | D3×C8 | — | 10 | 2 | no | — |
| 530 | D3×C8 | — | 10 | 2 | no | — |
| 531 | C22×D5 | — | 2 | 1 | no | — |
| 532 | C22×D5 | — | 3 | 2 | no | — |
| 533 | C22×D5 | — | 6 | 2 | no | — |
| 534 | C22×D5 | — | 6 | 2 | no | — |
| 535 | C22×D5 | — | 6 | 1 | no | — |
| 536 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 537 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 538 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 539 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 540 | C2×AGL(1,𝔽5) | — | 12 | 4 | no | — |
| 541 | C2×AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 542 | C5×Q8 | — | 2 | 1 | no | — |
| 543 | C5×Q8 | — | 3 | 1 | no | — |
| 544 | C5×Q8 | — | 3 | 1 | no | — |
| 545 | C5×Q8 | — | 6 | 2 | no | — |
| 546 | C5×Q8 | C2×C4×D3 | 1 | 2 | yes | — |
| 547 | C5×D4 | — | 3 | 2 | no | — |
| 548 | C5×D4 | — | 3 | 1 | no | — |
| 549 | C5×D4 | — | 3 | 1 | no | — |
| 550 | C5×D4 | — | 6 | 2 | no | — |
| 551 | C5×D4 | — | 6 | 1 | no | — |
| 552 | C2×C4×C5 | — | 2 | 1 | no | — |
| 553 | C2×C4×C5 | — | 3 | 2 | no | — |
| 554 | C2×C4×C5 | — | 6 | 2 | no | — |
| 555 | C2×C4×C5 | — | 6 | 2 | no | — |
| 556 | C2×C4×C5 | — | 6 | 1 | no | — |
| 557 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 558 | C22⋊D5 | — | 3 | 2 | no | — |
| 559 | C22⋊D5 | — | 3 | 2 | no | — |
| 560 | C22⋊D5 | — | 3 | 2 | no | — |
| 561 | C22⋊D5 | — | 6 | 2 | no | — |
| 562 | C22⋊D5 | — | 6 | 2 | no | — |
| 563 | C22⋊D5 | — | 6 | 1 | no | — |
| 564 | C22⋊D5 | — | 6 | 1 | no | — |
| 565 | C22⋊D5 | — | 6 | 1 | no | — |
| 566 | C2×Dic5 | — | 3 | 2 | no | — |
| 567 | C2×Dic5 | — | 6 | 1 | no | — |
| 568 | C2×Dic5 | D3×D4 | 1 | 1 | yes | characteristic |
| 569 | D20 | — | 2 | 2 | no | — |
| 570 | D20 | — | 2 | 2 | no | — |
| 571 | D20 | — | 2 | 1 | no | — |
| 572 | D20 | — | 3 | 2 | no | — |
| 573 | D20 | — | 3 | 1 | no | — |
| 574 | D20 | — | 3 | 1 | no | — |
| 575 | D20 | — | 6 | 2 | no | — |
| 576 | D20 | — | 6 | 2 | no | — |
| 577 | D20 | — | 6 | 2 | no | — |
| 578 | D20 | — | 6 | 1 | no | — |
| 579 | D20 | C2×C4×D3 | 1 | 2 | yes | — |
| 580 | C4×D5 | — | 2 | 2 | no | — |
| 581 | C4×D5 | — | 2 | 2 | no | — |
| 582 | C4×D5 | — | 3 | 2 | no | — |
| 583 | C4×D5 | — | 3 | 2 | no | — |
| 584 | C4×D5 | — | 3 | 2 | no | — |
| 585 | C4×D5 | — | 6 | 2 | no | — |
| 586 | C4×D5 | — | 6 | 2 | no | — |
| 587 | C4×D5 | — | 6 | 2 | no | — |
| 588 | C4×D5 | — | 6 | 2 | no | — |
| 589 | C4×D5 | — | 6 | 1 | no | — |
| 590 | C4×D5 | — | 6 | 1 | no | — |
| 591 | C4×D5 | — | 6 | 1 | no | — |
| 592 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 593 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 594 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 595 | C4×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 596 | Dic10 | — | 3 | 1 | no | — |
| 597 | Dic10 | — | 3 | 2 | no | — |
| 598 | Dic10 | — | 3 | 1 | no | — |
| 599 | Dic10 | — | 6 | 2 | no | — |
| 600 | Dic10 | — | 6 | 1 | no | — |
| 601 | #170 | — | 2 | 1 | no | — |
| 602 | #170 | — | 2 | 1 | no | — |
| 603 | #170 | — | 6 | 2 | no | — |
| 604 | 2−1+4 | — | 3 | 1 | no | — |
| 605 | 2−1+4 | — | 15 | 2 | no | — |
| 606 | 2−1+4 | — | 15 | 1 | no | — |
| 607 | 2−1+4 | — | 30 | 1 | no | — |
| 608 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 609 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 610 | H(5,𝔽2) | — | 15 | 2 | no | — |
| 611 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 612 | H(5,𝔽2) | — | 30 | 1 | no | — |
| 613 | C2×#41 | — | 5 | 1 | no | — |
| 614 | C2×#41 | — | 15 | 1 | no | — |
| 615 | C2×#41 | — | 15 | 1 | no | — |
| 616 | C2×#41 | — | 15 | 2 | no | — |
| 617 | C2×#41 | — | 15 | 2 | no | — |
| 618 | C2×#41 | — | 30 | 2 | no | — |
| 619 | C2×#41 | — | 30 | 1 | no | — |
| 620 | C2×#41 | — | 30 | 1 | no | — |
| 621 | #131 | — | 30 | 1 | no | — |
| 622 | #131 | — | 30 | 1 | no | — |
| 623 | #131 | — | 30 | 2 | no | — |
| 624 | C2×M16 | — | 5 | 1 | no | — |
| 625 | C2×M16 | — | 15 | 2 | no | — |
| 626 | C2×M16 | — | 15 | 2 | no | — |
| 627 | C2×M16 | — | 15 | 1 | no | — |
| 628 | C4×Q8 | — | 30 | 1 | no | — |
| 629 | C4×D4 | — | 30 | 2 | no | — |
| 630 | C4×D4 | — | 30 | 1 | no | — |
| 631 | #117 | — | 5 | 1 | no | — |
| 632 | #117 | — | 15 | 2 | no | — |
| 633 | C2×C42 | — | 15 | 2 | no | — |
| 634 | C2×C42 | — | 15 | 1 | no | — |
| 635 | #104 | — | 5 | 2 | no | — |
| 636 | #104 | — | 5 | 2 | no | — |
| 637 | #104 | — | 15 | 2 | no | — |
| 638 | #104 | — | 15 | 2 | no | — |
| 639 | #104 | — | 15 | 1 | no | — |
| 640 | #104 | — | 15 | 1 | no | — |
| 641 | #104 | — | 15 | 1 | no | — |
| 642 | #104 | — | 15 | 1 | no | — |
| 643 | #104 | — | 15 | 2 | no | — |
| 644 | #104 | — | 15 | 2 | no | — |
| 645 | C2×C3×C5 | — | 2 | 1 | no | — |
| 646 | C2×C3×C5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 647 | D15 | — | 2 | 2 | no | — |
| 648 | D15 | — | 4 | 1 | no | — |
| 649 | C3×D5 | — | 2 | 1 | no | — |
| 650 | C3×D5 | — | 2 | 1 | no | — |
| 651 | C3×D5 | — | 4 | 2 | no | — |
| 652 | C5×D3 | — | 2 | 2 | no | — |
| 653 | C5×D3 | — | 4 | 1 | no | — |
| 654 | C23×C3 | — | 5 | 1 | no | — |
| 655 | C23×C3 | — | 10 | 1 | no | — |
| 656 | C22×D3 | — | 5 | 2 | no | — |
| 657 | C22×D3 | — | 10 | 2 | no | — |
| 658 | C22×D3 | — | 10 | 1 | no | — |
| 659 | C22×D3 | — | 10 | 2 | no | — |
| 660 | C3×Q8 | — | 2 | 1 | no | — |
| 661 | C3×Q8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 662 | C3×D4 | — | 5 | 2 | no | — |
| 663 | C3×D4 | — | 10 | 2 | no | — |
| 664 | C3×D4 | — | 10 | 2 | no | — |
| 665 | C3×D4 | — | 10 | 1 | no | — |
| 666 | C2×C3×C4 | — | 2 | 1 | no | — |
| 667 | C2×C3×C4 | — | 5 | 1 | no | — |
| 668 | C2×C3×C4 | — | 5 | 1 | no | — |
| 669 | C2×C3×C4 | — | 5 | 1 | no | — |
| 670 | C2×C3×C4 | — | 5 | 1 | no | — |
| 671 | C2×C3×C4 | — | 5 | 1 | no | — |
| 672 | C2×C3×C4 | — | 10 | 2 | no | — |
| 673 | C2×C3×C4 | — | 10 | 2 | no | — |
| 674 | C2×C3×C4 | — | 10 | 2 | no | — |
| 675 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 676 | #67 | — | 2 | 1 | no | — |
| 677 | #67 | — | 5 | 2 | no | — |
| 678 | #67 | — | 5 | 2 | no | — |
| 679 | #67 | — | 5 | 2 | no | — |
| 680 | #67 | — | 10 | 2 | no | — |
| 681 | #67 | — | 10 | 1 | no | — |
| 682 | #67 | — | 10 | 2 | no | — |
| 683 | #67 | — | 10 | 1 | no | — |
| 684 | #67 | — | 10 | 1 | no | — |
| 685 | #67 | — | 10 | 2 | no | — |
| 686 | #67 | — | 10 | 2 | no | — |
| 687 | #67 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 688 | C2×Dic3 | — | 5 | 2 | no | — |
| 689 | C2×Dic3 | — | 10 | 2 | no | — |
| 690 | C2×Dic3 | — | 10 | 1 | no | — |
| 691 | C2×Dic3 | — | 10 | 1 | no | — |
| 692 | C2×Dic3 | — | 10 | 2 | no | — |
| 693 | C2×Dic3 | — | 10 | 1 | no | — |
| 694 | C2×Dic3 | — | 20 | 2 | no | — |
| 695 | D12 | — | 2 | 2 | no | — |
| 696 | D12 | — | 5 | 2 | no | — |
| 697 | D12 | — | 5 | 1 | no | — |
| 698 | D12 | — | 5 | 1 | no | — |
| 699 | D12 | — | 10 | 2 | no | — |
| 700 | D12 | — | 10 | 1 | no | — |
| 701 | D12 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 702 | D12 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 703 | C4×D3 | — | 2 | 2 | no | — |
| 704 | C4×D3 | — | 2 | 1 | no | — |
| 705 | C4×D3 | — | 2 | 2 | no | — |
| 706 | C4×D3 | — | 5 | 2 | no | — |
| 707 | C4×D3 | — | 5 | 2 | no | — |
| 708 | C4×D3 | — | 5 | 2 | no | — |
| 709 | C4×D3 | — | 10 | 1 | no | — |
| 710 | C4×D3 | — | 10 | 2 | no | — |
| 711 | C4×D3 | — | 10 | 2 | no | — |
| 712 | C4×D3 | — | 10 | 1 | no | — |
| 713 | C4×D3 | — | 10 | 1 | no | — |
| 714 | C4×D3 | — | 20 | 4 | no | — |
| 715 | C4×D3 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 716 | Dic6 | — | 2 | 2 | no | — |
| 717 | Dic6 | — | 5 | 1 | no | — |
| 718 | Dic6 | — | 5 | 2 | no | — |
| 719 | Dic6 | — | 5 | 1 | no | — |
| 720 | Dic6 | — | 10 | 1 | no | — |
| 721 | Dic6 | — | 10 | 2 | no | — |
| 722 | Dic6 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 723 | Dic6 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 724 | C3×C8 | — | 10 | 1 | no | — |
| 725 | C3×C8 | — | 10 | 1 | no | — |
| 726 | C3⋊C8 | — | 10 | 2 | no | — |
| 727 | C22×C5 | — | 3 | 2 | no | — |
| 728 | C22×C5 | — | 6 | 1 | no | — |
| 729 | C22×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 730 | C2×D5 | — | 2 | 2 | no | — |
| 731 | C2×D5 | — | 3 | 2 | no | — |
| 732 | C2×D5 | — | 4 | 1 | no | — |
| 733 | C2×D5 | — | 6 | 1 | no | — |
| 734 | C2×D5 | — | 8 | 1 | no | — |
| 735 | C2×D5 | — | 12 | 2 | no | — |
| 736 | C2×D5 | — | 24 | 1 | no | — |
| 737 | C2×D5 | — | 24 | 2 | no | — |
| 738 | C2×D5 | — | 24 | 2 | no | — |
| 739 | C2×D5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 740 | C2×D5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 741 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 742 | AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 743 | AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 744 | C4×C5 | — | 2 | 2 | no | — |
| 745 | C4×C5 | — | 3 | 2 | no | — |
| 746 | C4×C5 | — | 6 | 1 | no | — |
| 747 | C4×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 748 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 749 | Dic5 | — | 3 | 2 | no | — |
| 750 | Dic5 | — | 6 | 1 | no | — |
| 751 | Dic5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 752 | Dic5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 753 | #41 | — | 3 | 1 | no | — |
| 754 | #41 | — | 3 | 2 | no | — |
| 755 | #41 | — | 3 | 1 | no | — |
| 756 | #41 | — | 5 | 2 | no | — |
| 757 | #41 | — | 5 | 2 | no | — |
| 758 | #41 | — | 6 | 2 | no | — |
| 759 | #41 | — | 6 | 1 | no | — |
| 760 | #41 | — | 10 | 1 | no | — |
| 761 | #41 | — | 10 | 1 | no | — |
| 762 | #41 | — | 15 | 2 | no | — |
| 763 | #41 | — | 15 | 2 | no | — |
| 764 | #41 | — | 15 | 2 | no | — |
| 765 | #41 | — | 15 | 1 | no | — |
| 766 | #41 | — | 15 | 1 | no | — |
| 767 | #41 | — | 15 | 1 | no | — |
| 768 | #41 | — | 15 | 1 | no | — |
| 769 | #41 | — | 15 | 1 | no | — |
| 770 | #41 | — | 15 | 2 | no | — |
| 771 | #41 | — | 15 | 2 | no | — |
| 772 | #41 | — | 15 | 1 | no | — |
| 773 | #41 | — | 30 | 2 | no | — |
| 774 | #41 | — | 30 | 1 | no | — |
| 775 | #41 | — | 30 | 1 | no | — |
| 776 | #41 | — | 30 | 2 | no | — |
| 777 | #41 | — | 30 | 2 | no | — |
| 778 | #41 | — | 30 | 2 | no | — |
| 779 | #41 | — | 30 | 2 | no | — |
| 780 | #41 | — | 30 | 1 | no | — |
| 781 | #41 | — | 30 | 2 | no | — |
| 782 | #41 | — | 30 | 2 | no | — |
| 783 | #41 | — | 30 | 2 | no | — |
| 784 | #41 | — | 30 | 2 | no | — |
| 785 | #41 | — | 30 | 1 | no | — |
| 786 | #41 | — | 30 | 1 | no | — |
| 787 | C2×Q8 | — | 3 | 2 | no | — |
| 788 | C2×Q8 | — | 6 | 1 | no | — |
| 789 | C2×Q8 | — | 15 | 1 | no | — |
| 790 | C2×Q8 | — | 15 | 1 | no | — |
| 791 | C2×Q8 | — | 15 | 2 | no | — |
| 792 | C2×Q8 | — | 30 | 2 | no | — |
| 793 | C2×Q8 | — | 30 | 1 | no | — |
| 794 | C2×Q8 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 795 | C2×D4 | — | 5 | 1 | no | — |
| 796 | C2×D4 | — | 10 | 1 | no | — |
| 797 | C2×D4 | — | 15 | 2 | no | — |
| 798 | C2×D4 | — | 15 | 1 | no | — |
| 799 | C2×D4 | — | 15 | 1 | no | — |
| 800 | C2×D4 | — | 15 | 2 | no | — |
| 801 | C2×D4 | — | 15 | 2 | no | — |
| 802 | C2×D4 | — | 30 | 2 | no | — |
| 803 | C2×D4 | — | 30 | 1 | no | — |
| 804 | C2×D4 | — | 30 | 2 | no | — |
| 805 | C2×D4 | — | 30 | 2 | no | — |
| 806 | C2×D4 | — | 30 | 1 | no | — |
| 807 | C2×D4 | — | 30 | 2 | no | — |
| 808 | C2×D4 | — | 30 | 2 | no | — |
| 809 | C2×D4 | — | 30 | 2 | no | — |
| 810 | C2×D4 | — | 30 | 2 | no | — |
| 811 | C2×D4 | — | 30 | 1 | no | — |
| 812 | C22×C4 | — | 5 | 1 | no | — |
| 813 | C22×C4 | — | 10 | 1 | no | — |
| 814 | C22×C4 | — | 15 | 2 | no | — |
| 815 | C22×C4 | — | 30 | 1 | no | — |
| 816 | C22×C4 | — | 30 | 2 | no | — |
| 817 | C22×C4 | — | 30 | 2 | no | — |
| 818 | C22×C4 | — | 30 | 2 | no | — |
| 819 | C22×C4 | — | 30 | 1 | no | — |
| 820 | M16 | — | 5 | 1 | no | — |
| 821 | M16 | — | 5 | 1 | no | — |
| 822 | M16 | — | 10 | 1 | no | — |
| 823 | M16 | — | 15 | 2 | no | — |
| 824 | M16 | — | 30 | 2 | no | — |
| 825 | M16 | — | 30 | 2 | no | — |
| 826 | M16 | — | 30 | 1 | no | — |
| 827 | C2×C8 | — | 10 | 1 | no | — |
| 828 | C2×C8 | — | 30 | 2 | no | — |
| 829 | C2×C8 | — | 30 | 2 | no | — |
| 830 | C2×C8 | — | 30 | 1 | no | — |
| 831 | C4⋊C4 | — | 10 | 1 | no | — |
| 832 | C4⋊C4 | — | 30 | 2 | no | — |
| 833 | C22⋊C4 | — | 10 | 1 | no | — |
| 834 | C22⋊C4 | — | 30 | 2 | no | — |
| 835 | C42 | — | 5 | 2 | no | — |
| 836 | C42 | — | 15 | 1 | no | — |
| 837 | C42 | — | 15 | 1 | no | — |
| 838 | C42 | — | 30 | 1 | no | — |
| 839 | C42 | — | 30 | 2 | no | — |
| 840 | C3×C5 | #2901 | 1 | 1 | yes | characteristic, complemented, Hall |
| 841 | C22×C3 | — | 5 | 1 | no | — |
| 842 | C22×C3 | — | 5 | 1 | no | — |
| 843 | C22×C3 | — | 10 | 2 | no | — |
| 844 | C22×C3 | — | 20 | 1 | no | — |
| 845 | C22×C3 | — | 40 | 1 | no | — |
| 846 | C22×C3 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 847 | C2×D3 | — | 2 | 1 | no | — |
| 848 | C2×D3 | — | 5 | 2 | no | — |
| 849 | C2×D3 | — | 10 | 1 | no | — |
| 850 | C2×D3 | — | 20 | 2 | no | — |
| 851 | C2×D3 | — | 40 | 2 | no | — |
| 852 | C2×D3 | — | 40 | 2 | no | — |
| 853 | C2×D3 | — | 40 | 1 | no | — |
| 854 | C2×D3 | C2×C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 855 | C3×C4 | — | 2 | 2 | no | — |
| 856 | C3×C4 | — | 5 | 1 | no | — |
| 857 | C3×C4 | — | 5 | 1 | no | — |
| 858 | C3×C4 | — | 20 | 2 | no | — |
| 859 | C3×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 860 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 861 | Dic3 | — | 2 | 1 | no | — |
| 862 | Dic3 | — | 5 | 2 | no | — |
| 863 | Dic3 | — | 10 | 2 | no | — |
| 864 | Dic3 | — | 10 | 1 | no | — |
| 865 | Dic3 | — | 20 | 1 | no | — |
| 866 | Dic3 | C2×C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 867 | C2×C5 | — | 2 | 1 | no | — |
| 868 | C2×C5 | — | 6 | 2 | no | — |
| 869 | C2×C5 | — | 12 | 1 | no | — |
| 870 | C2×C5 | C2×D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 871 | D5 | — | 2 | 1 | no | — |
| 872 | D5 | — | 2 | 1 | no | — |
| 873 | D5 | — | 4 | 2 | no | — |
| 874 | D5 | — | 6 | 2 | no | — |
| 875 | D5 | — | 12 | 1 | no | — |
| 876 | C23 | — | 5 | 1 | no | — |
| 877 | C23 | — | 10 | 1 | no | — |
| 878 | C23 | — | 15 | 2 | no | — |
| 879 | C23 | — | 30 | 2 | no | — |
| 880 | C23 | — | 30 | 1 | no | — |
| 881 | C23 | — | 30 | 2 | no | — |
| 882 | Q8 | — | 2 | 1 | no | — |
| 883 | Q8 | — | 3 | 1 | no | — |
| 884 | Q8 | — | 3 | 1 | no | — |
| 885 | Q8 | — | 6 | 2 | no | — |
| 886 | Q8 | — | 15 | 2 | no | — |
| 887 | Q8 | — | 15 | 1 | no | — |
| 888 | Q8 | — | 15 | 1 | no | — |
| 889 | Q8 | — | 30 | 2 | no | — |
| 890 | Q8 | — | 30 | 1 | no | — |
| 891 | Q8 | C2×D3×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 892 | D4 | — | 3 | 2 | no | — |
| 893 | D4 | — | 3 | 1 | no | — |
| 894 | D4 | — | 3 | 1 | no | — |
| 895 | D4 | — | 5 | 2 | no | — |
| 896 | D4 | — | 6 | 2 | no | — |
| 897 | D4 | — | 6 | 1 | no | — |
| 898 | D4 | — | 10 | 2 | no | — |
| 899 | D4 | — | 10 | 2 | no | — |
| 900 | D4 | — | 10 | 1 | no | — |
| 901 | D4 | — | 15 | 2 | no | — |
| 902 | D4 | — | 15 | 2 | no | — |
| 903 | D4 | — | 15 | 2 | no | — |
| 904 | D4 | — | 15 | 2 | no | — |
| 905 | D4 | — | 15 | 1 | no | — |
| 906 | D4 | — | 15 | 1 | no | — |
| 907 | D4 | — | 30 | 2 | no | — |
| 908 | D4 | — | 30 | 2 | no | — |
| 909 | D4 | — | 30 | 1 | no | — |
| 910 | D4 | — | 30 | 1 | no | — |
| 911 | D4 | — | 30 | 2 | no | — |
| 912 | D4 | — | 30 | 2 | no | — |
| 913 | D4 | — | 30 | 2 | no | — |
| 914 | D4 | — | 30 | 1 | no | — |
| 915 | D4 | — | 30 | 1 | no | — |
| 916 | C2×C4 | — | 2 | 1 | no | — |
| 917 | C2×C4 | — | 3 | 2 | no | — |
| 918 | C2×C4 | — | 5 | 1 | no | — |
| 919 | C2×C4 | — | 5 | 1 | no | — |
| 920 | C2×C4 | — | 5 | 1 | no | — |
| 921 | C2×C4 | — | 5 | 1 | no | — |
| 922 | C2×C4 | — | 5 | 1 | no | — |
| 923 | C2×C4 | — | 6 | 2 | no | — |
| 924 | C2×C4 | — | 6 | 2 | no | — |
| 925 | C2×C4 | — | 6 | 1 | no | — |
| 926 | C2×C4 | — | 10 | 2 | no | — |
| 927 | C2×C4 | — | 10 | 2 | no | — |
| 928 | C2×C4 | — | 10 | 2 | no | — |
| 929 | C2×C4 | — | 15 | 2 | no | — |
| 930 | C2×C4 | — | 15 | 2 | no | — |
| 931 | C2×C4 | — | 15 | 2 | no | — |
| 932 | C2×C4 | — | 15 | 2 | no | — |
| 933 | C2×C4 | — | 30 | 2 | no | — |
| 934 | C2×C4 | — | 30 | 2 | no | — |
| 935 | C2×C4 | — | 30 | 2 | no | — |
| 936 | C2×C4 | — | 30 | 1 | no | — |
| 937 | C2×C4 | — | 30 | 1 | no | — |
| 938 | C2×C4 | — | 30 | 2 | no | — |
| 939 | C2×C4 | — | 30 | 1 | no | — |
| 940 | C2×C4 | — | 30 | 1 | no | — |
| 941 | C2×C4 | — | 30 | 1 | no | — |
| 942 | C2×C4 | — | 30 | 1 | no | — |
| 943 | C2×C4 | — | 60 | 4 | no | — |
| 944 | C2×C4 | — | 60 | 2 | no | — |
| 945 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 946 | C8 | — | 10 | 1 | no | — |
| 947 | C8 | — | 10 | 1 | no | — |
| 948 | C8 | — | 30 | 2 | no | — |
| 949 | C2×C3 | — | 2 | 1 | no | — |
| 950 | C2×C3 | — | 10 | 1 | no | — |
| 951 | C2×C3 | — | 10 | 1 | no | — |
| 952 | C2×C3 | — | 20 | 2 | no | — |
| 953 | C2×C3 | C22×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 954 | D3 | — | 2 | 2 | no | — |
| 955 | D3 | — | 4 | 1 | no | — |
| 956 | D3 | — | 10 | 2 | no | — |
| 957 | D3 | — | 20 | 1 | no | — |
| 958 | C5 | #78992 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 959 | C22 | — | 3 | 2 | no | — |
| 960 | C22 | — | 5 | 1 | no | — |
| 961 | C22 | — | 5 | 1 | no | — |
| 962 | C22 | — | 6 | 1 | no | — |
| 963 | C22 | — | 10 | 2 | no | — |
| 964 | C22 | — | 15 | 2 | no | — |
| 965 | C22 | — | 20 | 1 | no | — |
| 966 | C22 | — | 30 | 1 | no | — |
| 967 | C22 | — | 40 | 1 | no | — |
| 968 | C22 | — | 60 | 2 | no | — |
| 969 | C22 | — | 120 | 2 | no | — |
| 970 | C22 | — | 120 | 1 | no | — |
| 971 | C22 | — | 120 | 2 | no | — |
| 972 | C22 | D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 973 | C4 | — | 2 | 2 | no | — |
| 974 | C4 | — | 3 | 2 | no | — |
| 975 | C4 | — | 5 | 1 | no | — |
| 976 | C4 | — | 5 | 1 | no | — |
| 977 | C4 | — | 6 | 1 | no | — |
| 978 | C4 | — | 15 | 2 | no | — |
| 979 | C4 | — | 20 | 2 | no | — |
| 980 | C4 | — | 30 | 2 | no | — |
| 981 | C4 | — | 30 | 1 | no | — |
| 982 | C4 | — | 60 | 1 | no | — |
| 983 | C4 | D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 984 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 985 | C3 | #10617562 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 986 | C2 | — | 2 | 1 | no | — |
| 987 | C2 | — | 6 | 2 | no | — |
| 988 | C2 | — | 10 | 1 | no | — |
| 989 | C2 | — | 10 | 1 | no | — |
| 990 | C2 | — | 12 | 1 | no | — |
| 991 | C2 | — | 20 | 2 | no | — |
| 992 | C2 | — | 30 | 2 | no | — |
| 993 | C2 | — | 60 | 1 | no | — |
| 994 | C2 | C2×D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11756835 | C2 | semidirect |
| 3. #11756823 | C2 | semidirect |
| 4. C2×#91239 | C2 | semidirect |
| 5. C3×#65784 | C2 | semidirect |
| 6. #11751974 | C2 | semidirect |
| 7. #11751973 | C2 | semidirect |
| 8. D3×#4010 | C2 | semidirect |
| 9. #11751959 | C2 | semidirect |
| 10. #11751720 | C2 | semidirect |
| 11. D5⋊#825 | C2 | semidirect |
| 13. #92098 | C4 | semidirect |
| 14. C5×#1007 | C4 | semidirect |
| 17. #92035 | C4 | semidirect |
| 23. #92028 | C4 | semidirect |
| 25. #92017 | C4 | semidirect |
| 26. #92017 | C4 | semidirect |
| 30. C2×C4×ΓL(1,𝔽16) | C22 | semidirect |
| 31. C2×#6758 | C22 | semidirect |
| 32. C3×#4130 | C22 | semidirect |
| 33. C3×D5⋊M16 | C22 | semidirect |
| 37. C4×D3×AGL(1,𝔽5) | C22 | semidirect |
| 38. #91915 | C22 | semidirect |
| 40. D3×#700 | C22 | semidirect |
| 42. #91909 | C22 | semidirect |
| 44. #91239 | C22 | semidirect |
| 45. #91239 | C22 | semidirect |
| 46. C3×#4010 | C22 | semidirect |
| 47. C3×#4010 | C22 | semidirect |
| 48. #91158 | C22 | semidirect |
| 49. #91157 | C22 | semidirect |
| 50. #91157 | C22 | semidirect |
| 51. #91156 | C22 | semidirect |
| 52. #91155 | C22 | semidirect |
| 53. #91155 | C22 | semidirect |
| 63. #65784 | D3 | semidirect |
| 68. C2×C3×C5×Q8 | C2×C4 | semidirect |
| 70. #6821 | C2×C4 | semidirect |
| 72. Q8×D15 | C2×C4 | semidirect |
| 75. #6817 | C2×C4 | semidirect |
| 77. C5×#239 | C2×C4 | semidirect |
| 79. C5×D3×Q8 | C2×C4 | semidirect |
| 82. C5×#235 | C2×C4 | semidirect |
| 85. C3×#713 | C2×C4 | semidirect |
| 88. C2×C3×D20 | C2×C4 | semidirect |
| 100. #6777 | C2×C4 | semidirect |
| 104. D3×D20 | C2×C4 | semidirect |
| 106. D5×D12 | C2×C4 | semidirect |
| 125. #6766 | C2×C4 | semidirect |
| 129. #6765 | C2×C4 | semidirect |
| 131. D5×Dic6 | C2×C4 | semidirect |
| 188. #4130 | C2×D3 | semidirect |
| 192. D5⋊M16 | C2×D3 | semidirect |
| 200. #4010 | C2×D3 | semidirect |
| 201. #4010 | C2×D3 | semidirect |
| 289. #1007 | AGL(1,𝔽5) | semidirect |
| 329. C2×C5×Q8 | C4×D3 | semidirect |
| 341. #713 | C4×D3 | semidirect |
| 380. C2×D20 | C4×D3 | semidirect |
| 448. C2×C3×Q8 | C2×AGL(1,𝔽5) | semidirect |
| 461. #239 | C2×AGL(1,𝔽5) | semidirect |
| 465. D3×Q8 | C2×AGL(1,𝔽5) | semidirect |
| 499. #235 | C2×AGL(1,𝔽5) | semidirect |
| 794. C2×Q8 | D3×AGL(1,𝔽5) | semidirect |
| 840. C3×C5 | #2901 | semidirect |
| 958. C5 | #78992 | semidirect |
| 985. C3 | #10617562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757048 | 2 |
| #11756835 | 2 |
| #11756823 | 2 |
| C2×#91239 | 2 |
| C3×#65784 | 2 |
| #11751974 | 2 |
| #11751973 | 2 |
| D3×#4010 | 2 |
| #11751959 | 2 |
| #11751720 | 2 |
| D5⋊#825 | 2 |
| #10617562 | 3 |
| #78992 | 5 |