Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
5126 conjugacy classes of subgroups.
The subgroup lattice has 914 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×D5×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#66169 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#66086 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10617801 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#2897 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10615524 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10614294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10610659 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #10610657 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #10610617 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #10610615 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #10610565 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #10610564 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #10610478 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C2×#65062 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | C2×C5×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 17 | D5×H(5,𝔽2) | — | 2 | 8 | no | — |
| 18 | D5×H(5,𝔽2) | — | 2 | 8 | no | — |
| 19 | C2×#4149 | — | 2 | 1 | no | — |
| 20 | C2×#4149 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#4149 | C22 | 1 | 3 | yes | complemented |
| 22 | C2×#4149 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×D5×#41 | — | 2 | 1 | no | — |
| 24 | C2×D5×#41 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×D5×#41 | C22 | 1 | 3 | yes | complemented |
| 26 | C2×#4144 | — | 2 | 3 | no | — |
| 27 | C2×#4144 | C22 | 1 | 3 | yes | complemented |
| 28 | C22×D4×D5 | — | 2 | 3 | no | — |
| 29 | C22×D4×D5 | C22 | 1 | 3 | yes | complemented |
| 30 | C2×C5×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C5×#520 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #66169 | — | 2 | 8 | no | — |
| 33 | C2×#4096 | C22 | 1 | 3 | yes | complemented |
| 34 | C2×#4095 | C22 | 1 | 3 | yes | complemented |
| 35 | C2×#4094 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×#4078 | C22 | 1 | 3 | yes | complemented |
| 37 | C22×#686 | C22 | 1 | 3 | yes | complemented |
| 38 | #66086 | — | 2 | 8 | no | — |
| 39 | C2×#4054 | C22 | 1 | 3 | yes | complemented |
| 40 | C2×#4054 | C22 | 1 | 3 | yes | complemented |
| 41 | C2×#4050 | C22 | 1 | 3 | yes | complemented |
| 42 | C22×D40 | C22 | 1 | 3 | yes | complemented |
| 43 | #65911 | — | 2 | 1 | no | — |
| 44 | #65910 | — | 2 | 1 | no | — |
| 45 | #65888 | — | 2 | 3 | no | — |
| 46 | D4×D20 | — | 2 | 3 | no | — |
| 47 | #65859 | C22 | 1 | 3 | yes | complemented |
| 48 | #65858 | C22 | 1 | 3 | yes | complemented |
| 49 | #65844 | C22 | 1 | 3 | yes | complemented |
| 50 | C2×#4041 | C22 | 1 | 3 | yes | complemented |
| 51 | C5×#418 | C22 | 1 | 3 | yes | complemented |
| 52 | C5×#417 | C22 | 1 | 3 | yes | complemented |
| 53 | C5×#416 | C22 | 1 | 3 | yes | complemented |
| 54 | C2×C5×#102 | C22 | 1 | 3 | yes | complemented |
| 55 | #65418 | C22 | 1 | 3 | yes | complemented |
| 56 | #65415 | C22 | 1 | 3 | yes | complemented |
| 57 | #65399 | C22 | 1 | 3 | yes | complemented |
| 58 | C2×#3952 | C22 | 1 | 3 | yes | complemented |
| 59 | #65291 | C22 | 1 | 3 | yes | complemented |
| 60 | #65290 | C22 | 1 | 3 | yes | complemented |
| 61 | #65255 | C22 | 1 | 3 | yes | complemented |
| 62 | C2×#3941 | C22 | 1 | 3 | yes | complemented |
| 63 | #65100 | C22 | 1 | 3 | yes | complemented |
| 64 | #65100 | C22 | 1 | 6 | yes | complemented |
| 65 | #65099 | C22 | 1 | 3 | yes | complemented |
| 66 | #65097 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #65095 | C22 | 1 | 3 | yes | complemented |
| 68 | #65072 | C22 | 1 | 3 | yes | complemented |
| 69 | #65070 | C22 | 1 | 6 | yes | complemented |
| 70 | #65070 | C22 | 1 | 3 | yes | complemented |
| 71 | #65065 | C22 | 1 | 3 | yes | complemented |
| 72 | #65065 | C22 | 1 | 6 | yes | complemented |
| 73 | #65062 | C22 | 1 | 3 | yes | complemented |
| 74 | #65062 | C22 | 1 | 6 | yes | complemented |
| 75 | #65062 | C22 | 1 | 6 | yes | complemented |
| 76 | #65062 | C22 | 1 | 6 | yes | complemented |
| 77 | #65062 | C22 | 1 | 6 | yes | complemented |
| 78 | #60372 | — | 5 | 1 | no | maximal, Sylow |
| 79 | C24×D5 | — | 2 | 3 | no | — |
| 80 | C5×H(5,𝔽2) | — | 2 | 4 | no | — |
| 81 | C5×H(5,𝔽2) | D4 | 1 | 8 | yes | complemented |
| 82 | C2×C5×#41 | — | 2 | 1 | no | — |
| 83 | C2×C5×#41 | C23 | 1 | 3 | yes | — |
| 84 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 85 | C22×C5×D4 | — | 2 | 3 | no | — |
| 86 | C22×C5×D4 | C23 | 1 | 3 | yes | — |
| 87 | C22×C22⋊D5 | — | 2 | 6 | no | — |
| 88 | C22×C22⋊D5 | — | 2 | 3 | no | — |
| 89 | #4149 | — | 2 | 16 | no | — |
| 90 | #4149 | — | 2 | 4 | no | — |
| 91 | #4149 | — | 2 | 12 | no | — |
| 92 | #4149 | — | 2 | 4 | no | — |
| 93 | #4149 | — | 2 | 4 | no | — |
| 94 | #4149 | — | 2 | 12 | no | — |
| 95 | #4149 | D4 | 1 | 8 | yes | complemented |
| 96 | D5×#41 | — | 2 | 16 | no | — |
| 97 | D5×#41 | — | 2 | 4 | no | — |
| 98 | D5×#41 | — | 2 | 4 | no | — |
| 99 | D5×#41 | — | 2 | 12 | no | — |
| 100 | D5×#41 | — | 2 | 12 | no | — |
| 101 | C2×#713 | — | 2 | 1 | no | — |
| 102 | C2×#713 | — | 2 | 1 | no | — |
| 103 | C2×#713 | D4 | 1 | 1 | yes | characteristic |
| 104 | C2×#713 | C23 | 1 | 3 | yes | — |
| 105 | C2×Q8×D5 | D4 | 1 | 1 | yes | characteristic |
| 106 | C2×Q8×D5 | C23 | 1 | 1 | yes | characteristic |
| 107 | #4144 | — | 2 | 48 | no | — |
| 108 | #4144 | — | 2 | 12 | no | — |
| 109 | #4144 | — | 2 | 12 | no | — |
| 110 | C2×#711 | — | 2 | 3 | no | — |
| 111 | C2×#711 | — | 2 | 3 | no | — |
| 112 | C2×#711 | D4 | 1 | 3 | yes | — |
| 113 | C2×#711 | C23 | 1 | 3 | yes | — |
| 114 | C2×D4×D5 | — | 2 | 48 | no | — |
| 115 | C2×D4×D5 | — | 2 | 3 | no | — |
| 116 | C2×D4×D5 | — | 2 | 3 | no | — |
| 117 | C2×D4×D5 | — | 2 | 12 | no | — |
| 118 | C2×D4×D5 | — | 2 | 6 | no | — |
| 119 | C2×D4×D5 | — | 2 | 3 | no | — |
| 120 | C2×D4×D5 | — | 2 | 3 | no | — |
| 121 | C2×D4×D5 | — | 2 | 12 | no | — |
| 122 | C2×D4×D5 | — | 2 | 3 | no | — |
| 123 | C2×D4×D5 | — | 2 | 3 | no | — |
| 124 | C2×D4×D5 | D4 | 1 | 3 | yes | — |
| 125 | C2×D4×D5 | C23 | 1 | 3 | yes | — |
| 126 | C2×D4×D5 | C23 | 1 | 6 | yes | — |
| 127 | C2×#709 | — | 2 | 3 | no | — |
| 128 | C2×#709 | — | 2 | 3 | no | — |
| 129 | C2×#709 | C23 | 1 | 3 | yes | — |
| 130 | C2×#709 | C23 | 1 | 3 | yes | — |
| 131 | C2×#709 | C23 | 1 | 3 | yes | complemented |
| 132 | C22×D20 | — | 2 | 3 | no | — |
| 133 | C22×D20 | — | 2 | 3 | no | — |
| 134 | C22×D20 | C23 | 1 | 3 | yes | — |
| 135 | C22×D20 | C23 | 1 | 3 | yes | complemented |
| 136 | C22×C4×D5 | — | 2 | 3 | no | — |
| 137 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 138 | C5×#131 | — | 2 | 4 | no | — |
| 139 | C2×C5×M16 | C23 | 1 | 3 | yes | complemented |
| 140 | C22×C5×C8 | C23 | 1 | 3 | yes | complemented |
| 141 | C4×C5×Q8 | — | 2 | 1 | no | — |
| 142 | C4×C5×D4 | — | 2 | 3 | no | — |
| 143 | C5×#117 | C23 | 1 | 3 | yes | complemented |
| 144 | C2×C5×C4⋊C4 | C23 | 1 | 3 | yes | complemented |
| 145 | #4096 | — | 2 | 12 | no | — |
| 146 | #4095 | — | 2 | 12 | no | — |
| 147 | #4094 | — | 2 | 4 | no | — |
| 148 | C2×#689 | C23 | 1 | 1 | yes | characteristic, complemented |
| 149 | C2×#688 | C23 | 1 | 3 | yes | complemented |
| 150 | C2×#687 | C23 | 1 | 3 | yes | complemented |
| 151 | #4078 | — | 2 | 12 | no | — |
| 152 | C2×#686 | — | 2 | 12 | no | — |
| 153 | C2×#686 | C23 | 1 | 3 | yes | complemented |
| 154 | C2×#686 | C23 | 1 | 6 | yes | complemented |
| 155 | #4076 | — | 2 | 6 | no | — |
| 156 | C2×#685 | — | 2 | 3 | no | — |
| 157 | C2×#681 | C23 | 1 | 3 | yes | complemented |
| 158 | C22×#168 | C23 | 1 | 3 | yes | complemented |
| 159 | #4054 | — | 2 | 12 | no | — |
| 160 | #4054 | — | 2 | 12 | no | — |
| 161 | C2×Dic20 | C23 | 1 | 1 | yes | characteristic, complemented |
| 162 | #4050 | — | 2 | 12 | no | — |
| 163 | C2×D40 | — | 2 | 12 | no | — |
| 164 | C2×D40 | C23 | 1 | 3 | yes | complemented |
| 165 | C2×D40 | C23 | 1 | 6 | yes | complemented |
| 166 | C2×#677 | C23 | 1 | 3 | yes | complemented |
| 167 | C2×#677 | C23 | 1 | 3 | yes | complemented |
| 168 | #4043 | — | 2 | 3 | no | — |
| 169 | #4043 | C23 | 1 | 1 | yes | characteristic |
| 170 | #4043 | C23 | 1 | 3 | yes | complemented |
| 171 | #4041 | — | 2 | 3 | no | — |
| 172 | #4041 | — | 2 | 3 | no | — |
| 173 | #4041 | — | 2 | 3 | no | — |
| 174 | #4041 | C23 | 1 | 3 | yes | — |
| 175 | #4041 | C23 | 1 | 6 | yes | complemented |
| 176 | #4041 | C23 | 1 | 3 | yes | complemented |
| 177 | #4032 | — | 2 | 3 | no | — |
| 178 | #4028 | — | 2 | 3 | no | — |
| 179 | #4028 | — | 2 | 6 | no | — |
| 180 | #4021 | — | 2 | 3 | no | — |
| 181 | #4020 | — | 2 | 3 | no | — |
| 182 | C4×D20 | — | 2 | 3 | no | — |
| 183 | C4×D20 | — | 2 | 3 | no | — |
| 184 | C5×#103 | C23 | 1 | 1 | yes | characteristic, complemented |
| 185 | C5×#103 | C23 | 1 | 3 | yes | complemented |
| 186 | C5×#102 | C23 | 1 | 3 | yes | complemented |
| 187 | C5×#102 | C23 | 1 | 6 | yes | complemented |
| 188 | C5×#102 | C23 | 1 | 3 | yes | complemented |
| 189 | #3952 | C23 | 1 | 1 | yes | characteristic |
| 190 | #3952 | C23 | 1 | 3 | yes | — |
| 191 | #3952 | C23 | 1 | 3 | yes | complemented |
| 192 | #3952 | C23 | 1 | 3 | yes | complemented |
| 193 | #3952 | C23 | 1 | 6 | yes | complemented |
| 194 | #3942 | C23 | 1 | 1 | yes | characteristic, complemented |
| 195 | #3942 | C23 | 1 | 3 | yes | complemented |
| 196 | #3941 | C23 | 1 | 3 | yes | complemented |
| 197 | #3941 | C23 | 1 | 6 | yes | complemented |
| 198 | #3941 | C23 | 1 | 3 | yes | complemented |
| 199 | C22×H(5,𝔽2) | — | 5 | 1 | no | — |
| 200 | C2×#576 | — | 5 | 1 | no | — |
| 201 | C2×#576 | — | 5 | 1 | no | — |
| 202 | #3488 | — | 5 | 1 | no | — |
| 203 | #3012 | — | 5 | 3 | no | — |
| 204 | #3012 | — | 5 | 3 | no | — |
| 205 | #3008 | — | 5 | 3 | no | — |
| 206 | #3008 | — | 5 | 3 | no | — |
| 207 | #3006 | — | 5 | 3 | no | — |
| 208 | #3003 | — | 5 | 3 | no | — |
| 209 | #3002 | — | 5 | 3 | no | — |
| 210 | C2×#447 | — | 5 | 3 | no | — |
| 211 | #2897 | — | 5 | 1 | no | — |
| 212 | #2897 | D5 | 1 | 1 | yes | characteristic, complemented |
| 213 | #2880 | — | 5 | 1 | no | — |
| 214 | C24×C5 | — | 2 | 3 | no | — |
| 215 | C23×D5 | — | 2 | 24 | no | — |
| 216 | C23×D5 | — | 2 | 3 | no | — |
| 217 | C23×D5 | — | 2 | 3 | no | — |
| 218 | C23×D5 | — | 2 | 6 | no | — |
| 219 | C23×D5 | — | 2 | 3 | no | — |
| 220 | C23×D5 | — | 8 | 6 | no | — |
| 221 | C23×D5 | — | 8 | 6 | no | — |
| 222 | C23×D5 | C2×D4 | 1 | 3 | yes | — |
| 223 | C5×#41 | — | 2 | 8 | no | — |
| 224 | C5×#41 | — | 2 | 6 | no | — |
| 225 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 226 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 227 | C5×#41 | C2×D4 | 1 | 12 | yes | complemented |
| 228 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | C2×C5×Q8 | C24 | 1 | 1 | yes | characteristic |
| 230 | C2×C5×D4 | — | 2 | 3 | no | — |
| 231 | C2×C5×D4 | — | 2 | 24 | no | — |
| 232 | C2×C5×D4 | — | 2 | 3 | no | — |
| 233 | C2×C5×D4 | — | 2 | 6 | no | — |
| 234 | C2×C5×D4 | C2×D4 | 1 | 3 | yes | — |
| 235 | C2×C5×D4 | C2×D4 | 1 | 12 | yes | complemented |
| 236 | C2×C5×D4 | C24 | 1 | 3 | yes | — |
| 237 | C22×C4×C5 | — | 2 | 3 | no | — |
| 238 | C22×C4×C5 | — | 2 | 3 | no | — |
| 239 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 240 | C2×C22⋊D5 | — | 2 | 48 | no | — |
| 241 | C2×C22⋊D5 | — | 2 | 24 | no | — |
| 242 | C2×C22⋊D5 | — | 2 | 3 | no | — |
| 243 | C2×C22⋊D5 | — | 2 | 3 | no | — |
| 244 | C2×C22⋊D5 | — | 2 | 3 | no | — |
| 245 | C2×C22⋊D5 | — | 2 | 3 | no | — |
| 246 | C2×C22⋊D5 | — | 2 | 6 | no | — |
| 247 | C2×C22⋊D5 | C2×D4 | 1 | 6 | yes | — |
| 248 | C22×Dic5 | — | 2 | 3 | no | — |
| 249 | C22×Dic5 | C2×D4 | 1 | 3 | yes | — |
| 250 | #713 | — | 2 | 8 | no | — |
| 251 | #713 | — | 2 | 4 | no | — |
| 252 | #713 | — | 2 | 6 | no | — |
| 253 | #713 | — | 2 | 6 | no | — |
| 254 | #713 | — | 4 | 4 | no | — |
| 255 | Q8×D5 | — | 2 | 4 | no | — |
| 256 | Q8×D5 | — | 2 | 2 | no | — |
| 257 | Q8×D5 | — | 2 | 2 | no | — |
| 258 | #711 | — | 2 | 24 | no | — |
| 259 | #711 | — | 2 | 24 | no | — |
| 260 | #711 | — | 2 | 12 | no | — |
| 261 | #711 | — | 2 | 6 | no | — |
| 262 | #711 | — | 2 | 6 | no | — |
| 263 | D4×D5 | — | 2 | 24 | no | — |
| 264 | D4×D5 | — | 2 | 24 | no | — |
| 265 | D4×D5 | — | 2 | 48 | no | — |
| 266 | D4×D5 | — | 2 | 24 | no | — |
| 267 | D4×D5 | — | 2 | 24 | no | — |
| 268 | D4×D5 | — | 2 | 12 | no | — |
| 269 | D4×D5 | — | 2 | 24 | no | — |
| 270 | D4×D5 | — | 2 | 6 | no | — |
| 271 | D4×D5 | — | 2 | 12 | no | — |
| 272 | D4×D5 | — | 2 | 6 | no | — |
| 273 | D4×D5 | — | 2 | 12 | no | — |
| 274 | D4×D5 | — | 4 | 12 | no | — |
| 275 | #709 | — | 2 | 24 | no | — |
| 276 | #709 | — | 2 | 24 | no | — |
| 277 | #709 | — | 2 | 6 | no | — |
| 278 | #709 | — | 2 | 6 | no | — |
| 279 | #709 | — | 2 | 6 | no | — |
| 280 | #709 | — | 2 | 6 | no | — |
| 281 | #709 | — | 2 | 6 | no | — |
| 282 | #709 | C2×D4 | 1 | 12 | yes | complemented |
| 283 | C2×D20 | — | 2 | 24 | no | — |
| 284 | C2×D20 | — | 2 | 3 | no | — |
| 285 | C2×D20 | — | 2 | 3 | no | — |
| 286 | C2×D20 | — | 2 | 6 | no | — |
| 287 | C2×D20 | — | 2 | 6 | no | — |
| 288 | C2×D20 | — | 2 | 6 | no | — |
| 289 | C2×D20 | — | 2 | 3 | no | — |
| 290 | C2×D20 | — | 2 | 3 | no | — |
| 291 | C2×D20 | — | 2 | 6 | no | — |
| 292 | C2×D20 | — | 2 | 3 | no | — |
| 293 | C2×D20 | — | 8 | 6 | no | — |
| 294 | C2×D20 | C2×D4 | 1 | 3 | yes | — |
| 295 | C2×D20 | C2×D4 | 1 | 12 | yes | complemented |
| 296 | C2×D20 | C24 | 1 | 3 | yes | — |
| 297 | C2×D20 | C24 | 1 | 3 | yes | — |
| 298 | C2×C4×D5 | — | 2 | 24 | no | — |
| 299 | C2×C4×D5 | — | 2 | 1 | no | — |
| 300 | C2×C4×D5 | — | 2 | 3 | no | — |
| 301 | C2×C4×D5 | — | 2 | 6 | no | — |
| 302 | C2×C4×D5 | — | 2 | 6 | no | — |
| 303 | C2×C4×D5 | — | 2 | 3 | no | — |
| 304 | C2×C4×D5 | — | 2 | 3 | no | — |
| 305 | C2×C4×D5 | C2×D4 | 1 | 3 | yes | — |
| 306 | C2×C4×D5 | C2×D4 | 1 | 3 | yes | — |
| 307 | C2×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 308 | C2×C4×D5 | C24 | 1 | 3 | yes | — |
| 309 | C2×Dic10 | — | 2 | 1 | no | — |
| 310 | C2×Dic10 | C2×D4 | 1 | 3 | yes | — |
| 311 | C2×Dic10 | C24 | 1 | 1 | yes | characteristic |
| 312 | C2×Dic10 | C24 | 1 | 1 | yes | characteristic |
| 313 | C5×M16 | — | 2 | 6 | no | — |
| 314 | C2×C5×C8 | — | 2 | 6 | no | — |
| 315 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 316 | C2×C5×C8 | C24 | 1 | 3 | yes | — |
| 317 | C5×C4⋊C4 | — | 2 | 3 | no | — |
| 318 | C5×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 319 | C5×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 320 | C5×C22⋊C4 | — | 2 | 3 | no | — |
| 321 | C42×C5 | — | 2 | 3 | no | — |
| 322 | #689 | — | 2 | 2 | no | — |
| 323 | #688 | — | 2 | 6 | no | — |
| 324 | #687 | — | 2 | 6 | no | — |
| 325 | #686 | — | 2 | 6 | no | — |
| 326 | #686 | — | 2 | 12 | no | — |
| 327 | #685 | — | 2 | 1 | no | — |
| 328 | #685 | — | 2 | 3 | no | — |
| 329 | #685 | — | 2 | 3 | no | — |
| 330 | #685 | — | 2 | 3 | no | — |
| 331 | #685 | — | 2 | 6 | no | — |
| 332 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 333 | C4⋊Dic5 | — | 2 | 3 | no | — |
| 334 | #681 | — | 2 | 6 | no | — |
| 335 | C2×#168 | — | 2 | 6 | no | — |
| 336 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 337 | C2×#168 | C24 | 1 | 3 | yes | — |
| 338 | Dic20 | — | 2 | 2 | no | — |
| 339 | D40 | — | 2 | 6 | no | — |
| 340 | D40 | — | 2 | 12 | no | — |
| 341 | #677 | — | 2 | 6 | no | — |
| 342 | #677 | — | 2 | 6 | no | — |
| 343 | C2×H(5,𝔽2) | — | 5 | 3 | no | — |
| 344 | C2×H(5,𝔽2) | — | 5 | 1 | no | — |
| 345 | C2×H(5,𝔽2) | — | 5 | 1 | no | — |
| 346 | C2×H(5,𝔽2) | — | 5 | 3 | no | — |
| 347 | C2×H(5,𝔽2) | — | 10 | 3 | no | — |
| 348 | C2×H(5,𝔽2) | — | 10 | 1 | no | — |
| 349 | C2×H(5,𝔽2) | — | 10 | 8 | no | — |
| 350 | C2×H(5,𝔽2) | — | 10 | 8 | no | — |
| 351 | C2×H(5,𝔽2) | C2×D5 | 1 | 1 | yes | characteristic |
| 352 | C22×#41 | — | 5 | 1 | no | — |
| 353 | C22×#41 | — | 5 | 3 | no | — |
| 354 | C22×#41 | — | 10 | 1 | no | — |
| 355 | C23×D4 | — | 5 | 3 | no | — |
| 356 | C23×D4 | — | 10 | 3 | no | — |
| 357 | #576 | — | 10 | 8 | no | — |
| 358 | #576 | — | 10 | 8 | no | — |
| 359 | C2×AGL(1,ℤ/8) | — | 5 | 3 | no | — |
| 360 | C2×AGL(1,ℤ/8) | — | 5 | 3 | no | — |
| 361 | C2×AGL(1,ℤ/8) | — | 5 | 3 | no | — |
| 362 | C2×AGL(1,ℤ/8) | — | 5 | 3 | no | — |
| 363 | C2×#135 | — | 5 | 3 | no | — |
| 364 | C2×#135 | — | 5 | 3 | no | — |
| 365 | C22×D8 | — | 5 | 3 | no | — |
| 366 | C22×D8 | — | 5 | 3 | no | — |
| 367 | C2×#131 | — | 5 | 1 | no | — |
| 368 | C2×#131 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 369 | #550 | — | 10 | 1 | no | — |
| 370 | #548 | — | 10 | 1 | no | — |
| 371 | #546 | — | 10 | 3 | no | — |
| 372 | D42 | — | 10 | 3 | no | — |
| 373 | #537 | — | 5 | 3 | no | — |
| 374 | #535 | — | 5 | 3 | no | — |
| 375 | #525 | — | 5 | 3 | no | — |
| 376 | C2×#121 | — | 5 | 3 | no | — |
| 377 | #520 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 378 | #452 | — | 5 | 3 | no | — |
| 379 | #452 | — | 5 | 3 | no | — |
| 380 | #451 | — | 5 | 1 | no | — |
| 381 | #450 | — | 5 | 3 | no | — |
| 382 | #450 | — | 5 | 6 | no | — |
| 383 | #449 | — | 5 | 3 | no | — |
| 384 | #449 | — | 5 | 6 | no | — |
| 385 | #449 | — | 5 | 3 | no | — |
| 386 | #449 | — | 5 | 6 | no | — |
| 387 | #448 | — | 5 | 3 | no | — |
| 388 | #447 | — | 5 | 3 | no | — |
| 389 | #447 | — | 5 | 6 | no | — |
| 390 | #447 | — | 5 | 6 | no | — |
| 391 | #447 | — | 5 | 6 | no | — |
| 392 | #447 | — | 5 | 6 | no | — |
| 393 | #418 | — | 5 | 3 | no | — |
| 394 | #418 | C2×D5 | 1 | 3 | yes | complemented |
| 395 | #417 | — | 5 | 3 | no | — |
| 396 | #417 | C2×D5 | 1 | 3 | yes | complemented |
| 397 | #416 | — | 5 | 3 | no | — |
| 398 | #416 | C2×D5 | 1 | 3 | yes | complemented |
| 399 | C2×#102 | — | 5 | 3 | no | — |
| 400 | C2×#102 | C2×D5 | 1 | 3 | yes | complemented |
| 401 | #408 | — | 5 | 3 | no | — |
| 402 | #408 | — | 5 | 3 | no | — |
| 403 | #407 | — | 5 | 3 | no | — |
| 404 | C2×C22⋊C8 | — | 5 | 3 | no | — |
| 405 | C23×C5 | — | 2 | 3 | no | — |
| 406 | C23×C5 | — | 2 | 12 | no | — |
| 407 | C23×C5 | — | 8 | 3 | no | — |
| 408 | C23×C5 | — | 8 | 3 | no | — |
| 409 | C23×C5 | C22×D4 | 1 | 3 | yes | — |
| 410 | C22×D5 | — | 2 | 12 | no | — |
| 411 | C22×D5 | — | 2 | 6 | no | — |
| 412 | C22×D5 | — | 2 | 3 | no | — |
| 413 | C22×D5 | — | 2 | 24 | no | — |
| 414 | C22×D5 | — | 2 | 12 | no | — |
| 415 | C22×D5 | — | 2 | 6 | no | — |
| 416 | C22×D5 | — | 2 | 3 | no | — |
| 417 | C22×D5 | — | 4 | 3 | no | — |
| 418 | C22×D5 | — | 4 | 6 | no | — |
| 419 | C22×D5 | — | 4 | 6 | no | — |
| 420 | C22×D5 | — | 4 | 6 | no | — |
| 421 | C22×D5 | — | 8 | 6 | no | — |
| 422 | C22×D5 | — | 8 | 6 | no | — |
| 423 | C22×D5 | — | 8 | 48 | no | — |
| 424 | C22×D5 | — | 8 | 3 | no | — |
| 425 | C22×D5 | — | 8 | 3 | no | — |
| 426 | C22×D5 | — | 8 | 3 | no | — |
| 427 | C22×D5 | — | 8 | 3 | no | — |
| 428 | C22×D5 | C22×D4 | 1 | 3 | yes | — |
| 429 | C22×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 430 | C5×Q8 | — | 2 | 1 | no | — |
| 431 | C5×Q8 | #120 | 1 | 4 | yes | — |
| 432 | C5×Q8 | C22×D4 | 1 | 2 | yes | — |
| 433 | C5×D4 | — | 2 | 12 | no | — |
| 434 | C5×D4 | — | 2 | 12 | no | — |
| 435 | C5×D4 | — | 2 | 3 | no | — |
| 436 | C5×D4 | #120 | 1 | 12 | yes | — |
| 437 | C5×D4 | C22×D4 | 1 | 6 | yes | — |
| 438 | C2×C4×C5 | — | 2 | 1 | no | — |
| 439 | C2×C4×C5 | — | 2 | 12 | no | — |
| 440 | C2×C4×C5 | — | 2 | 1 | no | — |
| 441 | C2×C4×C5 | — | 2 | 3 | no | — |
| 442 | C2×C4×C5 | — | 8 | 3 | no | — |
| 443 | C2×C4×C5 | C22×D4 | 1 | 6 | yes | — |
| 444 | C2×C4×C5 | C22×D4 | 1 | 3 | yes | — |
| 445 | C2×C4×C5 | C22×D4 | 1 | 6 | yes | — |
| 446 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 447 | C22⋊D5 | — | 2 | 24 | no | — |
| 448 | C22⋊D5 | — | 2 | 12 | no | — |
| 449 | C22⋊D5 | — | 2 | 12 | no | — |
| 450 | C22⋊D5 | — | 2 | 12 | no | — |
| 451 | C22⋊D5 | — | 2 | 12 | no | — |
| 452 | C22⋊D5 | — | 4 | 6 | no | — |
| 453 | C2×Dic5 | — | 2 | 12 | no | — |
| 454 | C2×Dic5 | — | 2 | 6 | no | — |
| 455 | C2×Dic5 | — | 2 | 1 | no | — |
| 456 | C2×Dic5 | — | 2 | 1 | no | — |
| 457 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 458 | C2×Dic5 | C22×D4 | 1 | 3 | yes | — |
| 459 | D20 | — | 2 | 12 | no | — |
| 460 | D20 | — | 2 | 6 | no | — |
| 461 | D20 | — | 2 | 12 | no | — |
| 462 | D20 | — | 2 | 3 | no | — |
| 463 | D20 | — | 2 | 3 | no | — |
| 464 | D20 | — | 2 | 3 | no | — |
| 465 | D20 | — | 4 | 6 | no | — |
| 466 | D20 | — | 4 | 6 | no | — |
| 467 | D20 | — | 8 | 3 | no | — |
| 468 | D20 | — | 8 | 6 | no | — |
| 469 | D20 | C22×D4 | 1 | 6 | yes | — |
| 470 | C4×D5 | — | 2 | 4 | no | — |
| 471 | C4×D5 | — | 2 | 12 | no | — |
| 472 | C4×D5 | — | 2 | 6 | no | — |
| 473 | C4×D5 | — | 2 | 12 | no | — |
| 474 | C4×D5 | — | 2 | 6 | no | — |
| 475 | C4×D5 | — | 2 | 1 | no | — |
| 476 | C4×D5 | — | 2 | 1 | no | — |
| 477 | C4×D5 | — | 2 | 3 | no | — |
| 478 | C4×D5 | — | 2 | 3 | no | — |
| 479 | C4×D5 | — | 4 | 6 | no | — |
| 480 | Dic10 | — | 2 | 4 | no | — |
| 481 | Dic10 | — | 2 | 6 | no | — |
| 482 | Dic10 | — | 2 | 1 | no | — |
| 483 | Dic10 | — | 2 | 1 | no | — |
| 484 | Dic10 | — | 2 | 1 | no | — |
| 485 | Dic10 | C22×D4 | 1 | 2 | yes | — |
| 486 | C5×C8 | — | 2 | 3 | no | — |
| 487 | C5×C8 | — | 2 | 1 | no | — |
| 488 | #168 | — | 2 | 1 | no | — |
| 489 | #168 | — | 2 | 3 | no | — |
| 490 | C25 | — | 10 | 3 | no | — |
| 491 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 492 | H(5,𝔽2) | — | 5 | 8 | no | — |
| 493 | H(5,𝔽2) | — | 10 | 12 | no | — |
| 494 | H(5,𝔽2) | — | 10 | 48 | no | — |
| 495 | H(5,𝔽2) | — | 10 | 12 | no | — |
| 496 | H(5,𝔽2) | — | 10 | 16 | no | — |
| 497 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 498 | H(5,𝔽2) | — | 10 | 12 | no | — |
| 499 | H(5,𝔽2) | — | 10 | 12 | no | — |
| 500 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 501 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 502 | H(5,𝔽2) | D20 | 1 | 8 | yes | complemented |
| 503 | C2×#41 | — | 2 | 1 | no | — |
| 504 | C2×#41 | — | 5 | 1 | no | — |
| 505 | C2×#41 | — | 5 | 3 | no | — |
| 506 | C2×#41 | — | 5 | 3 | no | — |
| 507 | C2×#41 | — | 5 | 3 | no | — |
| 508 | C2×#41 | — | 5 | 3 | no | — |
| 509 | C2×#41 | — | 5 | 3 | no | — |
| 510 | C2×#41 | — | 5 | 3 | no | — |
| 511 | C2×#41 | — | 10 | 3 | no | — |
| 512 | C2×#41 | — | 10 | 3 | no | — |
| 513 | C2×#41 | — | 10 | 3 | no | — |
| 514 | C2×#41 | — | 10 | 3 | no | — |
| 515 | C2×#41 | — | 10 | 12 | no | — |
| 516 | C2×#41 | — | 10 | 16 | no | — |
| 517 | C2×#41 | — | 10 | 4 | no | — |
| 518 | C2×#41 | — | 10 | 12 | no | — |
| 519 | C2×#41 | — | 10 | 4 | no | — |
| 520 | C2×#41 | — | 10 | 1 | no | — |
| 521 | C2×#41 | — | 10 | 1 | no | — |
| 522 | C2×#41 | C22×D5 | 1 | 3 | yes | — |
| 523 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 524 | C22×Q8 | — | 5 | 1 | no | — |
| 525 | C22×Q8 | — | 5 | 1 | no | — |
| 526 | C22×D4 | — | 2 | 3 | no | — |
| 527 | C22×D4 | — | 5 | 3 | no | — |
| 528 | C22×D4 | — | 5 | 3 | no | — |
| 529 | C22×D4 | — | 5 | 6 | no | — |
| 530 | C22×D4 | — | 5 | 3 | no | — |
| 531 | C22×D4 | — | 5 | 3 | no | — |
| 532 | C22×D4 | — | 10 | 3 | no | — |
| 533 | C22×D4 | — | 10 | 3 | no | — |
| 534 | C22×D4 | — | 10 | 3 | no | — |
| 535 | C22×D4 | — | 10 | 3 | no | — |
| 536 | C22×D4 | — | 10 | 3 | no | — |
| 537 | C22×D4 | — | 10 | 12 | no | — |
| 538 | C22×D4 | — | 10 | 6 | no | — |
| 539 | C22×D4 | — | 10 | 3 | no | — |
| 540 | C22×D4 | — | 10 | 3 | no | — |
| 541 | C22×D4 | — | 10 | 48 | no | — |
| 542 | C22×D4 | — | 10 | 6 | no | — |
| 543 | C22×D4 | — | 10 | 12 | no | — |
| 544 | C22×D4 | — | 10 | 3 | no | — |
| 545 | C22×D4 | — | 10 | 3 | no | — |
| 546 | C22×D4 | C22×D5 | 1 | 3 | yes | — |
| 547 | C23×C4 | — | 5 | 3 | no | — |
| 548 | C23×C4 | — | 10 | 3 | no | — |
| 549 | AGL(1,ℤ/8) | — | 10 | 12 | no | — |
| 550 | AGL(1,ℤ/8) | — | 10 | 12 | no | — |
| 551 | AGL(1,ℤ/8) | — | 10 | 12 | no | — |
| 552 | AGL(1,ℤ/8) | — | 10 | 12 | no | — |
| 553 | #135 | — | 10 | 12 | no | — |
| 554 | #135 | — | 10 | 12 | no | — |
| 555 | C2×Q16 | — | 5 | 1 | no | — |
| 556 | C2×Q16 | — | 5 | 1 | no | — |
| 557 | C2×SD16 | — | 5 | 3 | no | — |
| 558 | C2×SD16 | — | 5 | 3 | no | — |
| 559 | C2×SD16 | — | 5 | 3 | no | — |
| 560 | C2×SD16 | — | 5 | 3 | no | — |
| 561 | C2×D8 | — | 5 | 3 | no | — |
| 562 | C2×D8 | — | 5 | 6 | no | — |
| 563 | C2×D8 | — | 5 | 3 | no | — |
| 564 | C2×D8 | — | 5 | 6 | no | — |
| 565 | C2×D8 | — | 10 | 12 | no | — |
| 566 | C2×D8 | — | 10 | 12 | no | — |
| 567 | #131 | — | 2 | 4 | no | — |
| 568 | #131 | — | 10 | 4 | no | — |
| 569 | C2×M16 | — | 5 | 3 | no | — |
| 570 | C2×M16 | C22×D5 | 1 | 3 | yes | complemented |
| 571 | C22×C8 | — | 5 | 3 | no | — |
| 572 | C22×C8 | C22×D5 | 1 | 3 | yes | complemented |
| 573 | #127 | — | 10 | 3 | no | — |
| 574 | #124 | — | 10 | 3 | no | — |
| 575 | #123 | — | 10 | 3 | no | — |
| 576 | C22⋊Q8 | — | 5 | 1 | no | — |
| 577 | C22⋊Q8 | — | 5 | 3 | no | — |
| 578 | C22⋊Q8 | — | 10 | 3 | no | — |
| 579 | #121 | — | 5 | 3 | no | — |
| 580 | #121 | — | 5 | 6 | no | — |
| 581 | #121 | — | 5 | 3 | no | — |
| 582 | #121 | — | 10 | 3 | no | — |
| 583 | #121 | — | 10 | 3 | no | — |
| 584 | #121 | — | 10 | 3 | no | — |
| 585 | #121 | — | 10 | 6 | no | — |
| 586 | #120 | — | 10 | 6 | no | — |
| 587 | #120 | — | 10 | 3 | no | — |
| 588 | C4×Q8 | — | 2 | 1 | no | — |
| 589 | C4×D4 | — | 2 | 3 | no | — |
| 590 | C4×D4 | — | 10 | 3 | no | — |
| 591 | C4×D4 | — | 10 | 3 | no | — |
| 592 | #117 | C22×D5 | 1 | 3 | yes | complemented |
| 593 | C2×C4⋊C4 | C22×D5 | 1 | 3 | yes | complemented |
| 594 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 595 | #103 | — | 5 | 1 | no | — |
| 596 | #103 | — | 5 | 3 | no | — |
| 597 | #103 | C22×D5 | 1 | 1 | yes | characteristic, complemented |
| 598 | #103 | C22×D5 | 1 | 3 | yes | complemented |
| 599 | #102 | — | 5 | 3 | no | — |
| 600 | #102 | — | 5 | 6 | no | — |
| 601 | #102 | — | 5 | 3 | no | — |
| 602 | #102 | C22×D5 | 1 | 3 | yes | complemented |
| 603 | #102 | C22×D5 | 1 | 6 | yes | complemented |
| 604 | #102 | C22×D5 | 1 | 3 | yes | complemented |
| 605 | C22⋊C8 | — | 5 | 1 | no | — |
| 606 | C22⋊C8 | — | 5 | 3 | no | — |
| 607 | C22⋊C8 | — | 5 | 3 | no | — |
| 608 | C22⋊C8 | — | 5 | 3 | no | — |
| 609 | C22⋊C8 | — | 5 | 6 | no | — |
| 610 | C22×C5 | — | 2 | 3 | no | — |
| 611 | C22×C5 | — | 2 | 3 | no | — |
| 612 | C22×C5 | — | 2 | 6 | no | — |
| 613 | C22×C5 | — | 4 | 3 | no | — |
| 614 | C22×C5 | — | 4 | 3 | no | — |
| 615 | C22×C5 | — | 8 | 12 | no | — |
| 616 | C22×C5 | C2×#120 | 1 | 6 | yes | — |
| 617 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 618 | C2×D5 | — | 2 | 1 | no | — |
| 619 | C2×D5 | — | 2 | 1 | no | — |
| 620 | C2×D5 | — | 2 | 3 | no | — |
| 621 | C2×D5 | — | 2 | 3 | no | — |
| 622 | C2×D5 | — | 2 | 6 | no | — |
| 623 | C2×D5 | — | 2 | 3 | no | — |
| 624 | C2×D5 | — | 4 | 12 | no | — |
| 625 | C2×D5 | — | 4 | 24 | no | — |
| 626 | C2×D5 | — | 4 | 3 | no | — |
| 627 | C2×D5 | — | 4 | 3 | no | — |
| 628 | C2×D5 | — | 4 | 3 | no | — |
| 629 | C2×D5 | — | 4 | 3 | no | — |
| 630 | C2×D5 | — | 4 | 3 | no | — |
| 631 | C2×D5 | — | 8 | 12 | no | — |
| 632 | C2×D5 | — | 8 | 24 | no | — |
| 633 | C2×D5 | — | 16 | 6 | no | — |
| 634 | C2×D5 | #576 | 1 | 2 | yes | complemented |
| 635 | C4×C5 | — | 2 | 2 | no | — |
| 636 | C4×C5 | — | 4 | 1 | no | — |
| 637 | C4×C5 | — | 4 | 3 | no | — |
| 638 | C4×C5 | C2×#120 | 1 | 6 | yes | — |
| 639 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 640 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 641 | Dic5 | — | 2 | 1 | no | — |
| 642 | Dic5 | — | 2 | 3 | no | — |
| 643 | Dic5 | — | 2 | 2 | no | — |
| 644 | Dic5 | — | 4 | 1 | no | — |
| 645 | C24 | — | 2 | 3 | no | — |
| 646 | C24 | — | 5 | 3 | no | — |
| 647 | C24 | — | 10 | 3 | no | — |
| 648 | C24 | — | 10 | 6 | no | — |
| 649 | C24 | — | 10 | 24 | no | — |
| 650 | C24 | — | 10 | 3 | no | — |
| 651 | C24 | — | 10 | 3 | no | — |
| 652 | C24 | — | 40 | 6 | no | — |
| 653 | C24 | — | 40 | 6 | no | — |
| 654 | #41 | — | 2 | 8 | no | — |
| 655 | #41 | — | 2 | 6 | no | — |
| 656 | #41 | — | 5 | 12 | no | — |
| 657 | #41 | — | 10 | 24 | no | — |
| 658 | #41 | — | 10 | 24 | no | — |
| 659 | #41 | — | 10 | 6 | no | — |
| 660 | #41 | — | 10 | 24 | no | — |
| 661 | #41 | — | 10 | 24 | no | — |
| 662 | #41 | — | 10 | 6 | no | — |
| 663 | #41 | — | 10 | 6 | no | — |
| 664 | #41 | — | 10 | 4 | no | — |
| 665 | #41 | — | 10 | 8 | no | — |
| 666 | #41 | — | 10 | 6 | no | — |
| 667 | #41 | — | 10 | 12 | no | — |
| 668 | #41 | — | 10 | 6 | no | — |
| 669 | #41 | — | 10 | 6 | no | — |
| 670 | #41 | — | 10 | 6 | no | — |
| 671 | #41 | — | 10 | 6 | no | — |
| 672 | #41 | — | 10 | 6 | no | — |
| 673 | #41 | — | 20 | 4 | no | — |
| 674 | #41 | C2×D20 | 1 | 4 | yes | — |
| 675 | #41 | C2×D20 | 1 | 12 | yes | complemented |
| 676 | #41 | D4×D5 | 1 | 4 | yes | — |
| 677 | C2×Q8 | — | 5 | 3 | no | — |
| 678 | C2×Q8 | — | 5 | 1 | no | — |
| 679 | C2×Q8 | — | 5 | 1 | no | — |
| 680 | C2×Q8 | — | 10 | 1 | no | — |
| 681 | C2×Q8 | — | 10 | 2 | no | — |
| 682 | C2×Q8 | — | 10 | 2 | no | — |
| 683 | C2×Q8 | — | 10 | 4 | no | — |
| 684 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 685 | C2×Q8 | C23×D5 | 1 | 1 | yes | characteristic |
| 686 | C2×D4 | — | 2 | 3 | no | — |
| 687 | C2×D4 | — | 2 | 24 | no | — |
| 688 | C2×D4 | — | 2 | 3 | no | — |
| 689 | C2×D4 | — | 2 | 6 | no | — |
| 690 | C2×D4 | — | 5 | 6 | no | — |
| 691 | C2×D4 | — | 5 | 12 | no | — |
| 692 | C2×D4 | — | 5 | 3 | no | — |
| 693 | C2×D4 | — | 5 | 3 | no | — |
| 694 | C2×D4 | — | 5 | 3 | no | — |
| 695 | C2×D4 | — | 10 | 3 | no | — |
| 696 | C2×D4 | — | 10 | 24 | no | — |
| 697 | C2×D4 | — | 10 | 3 | no | — |
| 698 | C2×D4 | — | 10 | 3 | no | — |
| 699 | C2×D4 | — | 10 | 6 | no | — |
| 700 | C2×D4 | — | 10 | 3 | no | — |
| 701 | C2×D4 | — | 10 | 6 | no | — |
| 702 | C2×D4 | — | 10 | 6 | no | — |
| 703 | C2×D4 | — | 10 | 12 | no | — |
| 704 | C2×D4 | — | 10 | 24 | no | — |
| 705 | C2×D4 | — | 10 | 24 | no | — |
| 706 | C2×D4 | — | 10 | 48 | no | — |
| 707 | C2×D4 | — | 10 | 24 | no | — |
| 708 | C2×D4 | — | 10 | 24 | no | — |
| 709 | C2×D4 | — | 10 | 3 | no | — |
| 710 | C2×D4 | — | 10 | 48 | no | — |
| 711 | C2×D4 | — | 10 | 24 | no | — |
| 712 | C2×D4 | — | 10 | 3 | no | — |
| 713 | C2×D4 | — | 10 | 6 | no | — |
| 714 | C2×D4 | — | 10 | 12 | no | — |
| 715 | C2×D4 | — | 10 | 12 | no | — |
| 716 | C2×D4 | — | 10 | 24 | no | — |
| 717 | C2×D4 | — | 10 | 3 | no | — |
| 718 | C2×D4 | — | 10 | 6 | no | — |
| 719 | C2×D4 | — | 10 | 6 | no | — |
| 720 | C2×D4 | — | 10 | 3 | no | — |
| 721 | C2×D4 | — | 10 | 6 | no | — |
| 722 | C2×D4 | — | 10 | 3 | no | — |
| 723 | C2×D4 | — | 20 | 12 | no | — |
| 724 | C2×D4 | — | 40 | 6 | no | — |
| 725 | C2×D4 | C2×D20 | 1 | 12 | yes | complemented |
| 726 | C2×D4 | D4×D5 | 1 | 3 | yes | — |
| 727 | C2×D4 | C23×D5 | 1 | 3 | yes | — |
| 728 | C22×C4 | — | 2 | 3 | no | — |
| 729 | C22×C4 | — | 2 | 3 | no | — |
| 730 | C22×C4 | — | 5 | 3 | no | — |
| 731 | C22×C4 | — | 5 | 3 | no | — |
| 732 | C22×C4 | — | 5 | 3 | no | — |
| 733 | C22×C4 | — | 5 | 1 | no | — |
| 734 | C22×C4 | — | 5 | 3 | no | — |
| 735 | C22×C4 | — | 10 | 3 | no | — |
| 736 | C22×C4 | — | 10 | 1 | no | — |
| 737 | C22×C4 | — | 10 | 24 | no | — |
| 738 | C22×C4 | — | 10 | 3 | no | — |
| 739 | C22×C4 | — | 10 | 6 | no | — |
| 740 | C22×C4 | — | 10 | 6 | no | — |
| 741 | C22×C4 | — | 10 | 3 | no | — |
| 742 | C22×C4 | — | 10 | 3 | no | — |
| 743 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 744 | Q16 | — | 10 | 2 | no | — |
| 745 | Q16 | — | 10 | 2 | no | — |
| 746 | SD16 | — | 10 | 6 | no | — |
| 747 | SD16 | — | 10 | 6 | no | — |
| 748 | SD16 | — | 10 | 6 | no | — |
| 749 | SD16 | — | 10 | 6 | no | — |
| 750 | D8 | — | 10 | 6 | no | — |
| 751 | D8 | — | 10 | 12 | no | — |
| 752 | D8 | — | 10 | 6 | no | — |
| 753 | D8 | — | 10 | 12 | no | — |
| 754 | M16 | — | 2 | 6 | no | — |
| 755 | M16 | — | 10 | 6 | no | — |
| 756 | C2×C8 | — | 2 | 6 | no | — |
| 757 | C2×C8 | — | 5 | 1 | no | — |
| 758 | C2×C8 | — | 5 | 3 | no | — |
| 759 | C2×C8 | — | 10 | 6 | no | — |
| 760 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 761 | C2×C8 | C23×D5 | 1 | 3 | yes | — |
| 762 | C4⋊C4 | — | 2 | 3 | no | — |
| 763 | C4⋊C4 | — | 10 | 1 | no | — |
| 764 | C4⋊C4 | — | 10 | 3 | no | — |
| 765 | C4⋊C4 | C23×D5 | 1 | 3 | yes | — |
| 766 | C4⋊C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 767 | C22⋊C4 | — | 2 | 3 | no | — |
| 768 | C22⋊C4 | — | 10 | 3 | no | — |
| 769 | C22⋊C4 | — | 10 | 6 | no | — |
| 770 | C22⋊C4 | — | 10 | 3 | no | — |
| 771 | C22⋊C4 | — | 10 | 1 | no | — |
| 772 | C22⋊C4 | — | 10 | 3 | no | — |
| 773 | C42 | — | 2 | 3 | no | — |
| 774 | C2×C5 | — | 2 | 6 | no | — |
| 775 | C2×C5 | — | 4 | 6 | no | — |
| 776 | C2×C5 | C22×#120 | 1 | 1 | yes | characteristic |
| 777 | C2×C5 | C2×#576 | 1 | 1 | yes | characteristic |
| 778 | C2×C5 | #3585 | 1 | 1 | yes | characteristic |
| 779 | D5 | — | 2 | 2 | no | — |
| 780 | D5 | — | 4 | 3 | no | — |
| 781 | D5 | — | 4 | 6 | no | — |
| 782 | D5 | — | 8 | 3 | no | — |
| 783 | C23 | — | 2 | 3 | no | — |
| 784 | C23 | — | 2 | 12 | no | — |
| 785 | C23 | — | 5 | 1 | no | — |
| 786 | C23 | — | 5 | 3 | no | — |
| 787 | C23 | — | 8 | 3 | no | — |
| 788 | C23 | — | 8 | 3 | no | — |
| 789 | C23 | — | 10 | 6 | no | — |
| 790 | C23 | — | 10 | 12 | no | — |
| 791 | C23 | — | 10 | 24 | no | — |
| 792 | C23 | — | 10 | 6 | no | — |
| 793 | C23 | — | 10 | 3 | no | — |
| 794 | C23 | — | 10 | 12 | no | — |
| 795 | C23 | — | 10 | 3 | no | — |
| 796 | C23 | — | 20 | 3 | no | — |
| 797 | C23 | — | 20 | 6 | no | — |
| 798 | C23 | — | 20 | 6 | no | — |
| 799 | C23 | — | 20 | 6 | no | — |
| 800 | C23 | — | 40 | 3 | no | — |
| 801 | C23 | — | 40 | 3 | no | — |
| 802 | C23 | — | 40 | 3 | no | — |
| 803 | C23 | — | 40 | 3 | no | — |
| 804 | C23 | — | 40 | 6 | no | — |
| 805 | C23 | — | 40 | 6 | no | — |
| 806 | C23 | — | 40 | 48 | no | — |
| 807 | C23 | C2×D4×D5 | 1 | 3 | yes | — |
| 808 | Q8 | — | 2 | 1 | no | — |
| 809 | Q8 | — | 5 | 2 | no | — |
| 810 | Q8 | — | 10 | 4 | no | — |
| 811 | Q8 | — | 10 | 6 | no | — |
| 812 | Q8 | — | 10 | 1 | no | — |
| 813 | Q8 | — | 10 | 1 | no | — |
| 814 | Q8 | — | 10 | 1 | no | — |
| 815 | Q8 | #4028 | 1 | 4 | yes | — |
| 816 | Q8 | C22×D20 | 1 | 2 | yes | — |
| 817 | D4 | — | 2 | 12 | no | — |
| 818 | D4 | — | 2 | 12 | no | — |
| 819 | D4 | — | 2 | 3 | no | — |
| 820 | D4 | — | 5 | 6 | no | — |
| 821 | D4 | — | 10 | 12 | no | — |
| 822 | D4 | — | 10 | 12 | no | — |
| 823 | D4 | — | 10 | 24 | no | — |
| 824 | D4 | — | 10 | 12 | no | — |
| 825 | D4 | — | 10 | 12 | no | — |
| 826 | D4 | — | 10 | 12 | no | — |
| 827 | D4 | — | 10 | 12 | no | — |
| 828 | D4 | — | 10 | 6 | no | — |
| 829 | D4 | — | 10 | 3 | no | — |
| 830 | D4 | — | 10 | 3 | no | — |
| 831 | D4 | — | 10 | 3 | no | — |
| 832 | D4 | — | 20 | 6 | no | — |
| 833 | D4 | — | 20 | 6 | no | — |
| 834 | D4 | — | 20 | 6 | no | — |
| 835 | D4 | — | 40 | 6 | no | — |
| 836 | D4 | — | 40 | 3 | no | — |
| 837 | D4 | #4028 | 1 | 12 | yes | — |
| 838 | D4 | C22×D20 | 1 | 6 | yes | — |
| 839 | C2×C4 | — | 2 | 1 | no | — |
| 840 | C2×C4 | — | 2 | 12 | no | — |
| 841 | C2×C4 | — | 2 | 1 | no | — |
| 842 | C2×C4 | — | 2 | 3 | no | — |
| 843 | C2×C4 | — | 5 | 1 | no | — |
| 844 | C2×C4 | — | 5 | 3 | no | — |
| 845 | C2×C4 | — | 8 | 3 | no | — |
| 846 | C2×C4 | — | 10 | 4 | no | — |
| 847 | C2×C4 | — | 10 | 12 | no | — |
| 848 | C2×C4 | — | 10 | 12 | no | — |
| 849 | C2×C4 | — | 10 | 6 | no | — |
| 850 | C2×C4 | — | 10 | 1 | no | — |
| 851 | C2×C4 | — | 10 | 6 | no | — |
| 852 | C2×C4 | — | 10 | 6 | no | — |
| 853 | C2×C4 | — | 10 | 12 | no | — |
| 854 | C2×C4 | — | 10 | 1 | no | — |
| 855 | C2×C4 | — | 10 | 3 | no | — |
| 856 | C2×C4 | — | 10 | 1 | no | — |
| 857 | C2×C4 | — | 10 | 3 | no | — |
| 858 | C2×C4 | — | 10 | 1 | no | — |
| 859 | C2×C4 | — | 20 | 6 | no | — |
| 860 | C2×C4 | C22×D20 | 1 | 6 | yes | — |
| 861 | C2×C4 | C2×D4×D5 | 1 | 3 | yes | — |
| 862 | C2×C4 | C2×D4×D5 | 1 | 6 | yes | — |
| 863 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 864 | C8 | — | 2 | 1 | no | — |
| 865 | C8 | — | 2 | 3 | no | — |
| 866 | C8 | — | 10 | 1 | no | — |
| 867 | C8 | — | 10 | 3 | no | — |
| 868 | C5 | #60372 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 869 | C22 | — | 2 | 3 | no | — |
| 870 | C22 | — | 2 | 3 | no | — |
| 871 | C22 | — | 2 | 6 | no | — |
| 872 | C22 | — | 4 | 3 | no | — |
| 873 | C22 | — | 4 | 3 | no | — |
| 874 | C22 | — | 5 | 2 | no | — |
| 875 | C22 | — | 8 | 12 | no | — |
| 876 | C22 | — | 10 | 1 | no | — |
| 877 | C22 | — | 10 | 1 | no | — |
| 878 | C22 | — | 10 | 3 | no | — |
| 879 | C22 | — | 10 | 3 | no | — |
| 880 | C22 | — | 10 | 6 | no | — |
| 881 | C22 | — | 10 | 3 | no | — |
| 882 | C22 | — | 20 | 12 | no | — |
| 883 | C22 | — | 20 | 24 | no | — |
| 884 | C22 | — | 20 | 3 | no | — |
| 885 | C22 | — | 20 | 3 | no | — |
| 886 | C22 | — | 20 | 3 | no | — |
| 887 | C22 | — | 20 | 3 | no | — |
| 888 | C22 | — | 20 | 3 | no | — |
| 889 | C22 | — | 40 | 12 | no | — |
| 890 | C22 | — | 40 | 24 | no | — |
| 891 | C22 | — | 80 | 6 | no | — |
| 892 | C22 | C2×#4028 | 1 | 6 | yes | — |
| 893 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 894 | C4 | — | 2 | 2 | no | — |
| 895 | C4 | — | 4 | 3 | no | — |
| 896 | C4 | — | 4 | 1 | no | — |
| 897 | C4 | — | 10 | 1 | no | — |
| 898 | C4 | — | 10 | 3 | no | — |
| 899 | C4 | — | 10 | 2 | no | — |
| 900 | C4 | — | 20 | 1 | no | — |
| 901 | C4 | C2×#4028 | 1 | 6 | yes | — |
| 902 | C4 | C23×D20 | 1 | 1 | yes | characteristic |
| 903 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 904 | C2 | — | 2 | 6 | no | — |
| 905 | C2 | — | 4 | 6 | no | — |
| 906 | C2 | — | 10 | 2 | no | — |
| 907 | C2 | — | 20 | 3 | no | — |
| 908 | C2 | — | 20 | 6 | no | — |
| 909 | C2 | — | 40 | 3 | no | — |
| 910 | C2 | C22×#4028 | 1 | 1 | yes | characteristic |
| 911 | C2 | D5×#576 | 1 | 1 | yes | characteristic |
| 912 | C2 | #10619108 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×D5×H(5,𝔽2) | C2 | semidirect |
| 2. C2×#66169 | C2 | semidirect |
| 3. C2×#66086 | C2 | semidirect |
| 4. #10617801 | C2 | semidirect |
| 5. C5×#2897 | C2 | semidirect |
| 6. #10615524 | C2 | semidirect |
| 7. #10614294 | C2 | semidirect |
| 8. #10610659 | C2 | semidirect |
| 9. #10610657 | C2 | semidirect |
| 10. #10610617 | C2 | semidirect |
| 11. #10610615 | C2 | semidirect |
| 12. #10610565 | C2 | semidirect |
| 13. #10610564 | C2 | semidirect |
| 14. #10610478 | C2 | semidirect |
| 15. C2×#65062 | C2 | semidirect |
| 21. C2×#4149 | C22 | semidirect |
| 22. C2×#4149 | C22 | semidirect |
| 25. C2×D5×#41 | C22 | semidirect |
| 27. C2×#4144 | C22 | semidirect |
| 29. C22×D4×D5 | C22 | semidirect |
| 30. C2×C5×#131 | C22 | semidirect |
| 31. C5×#520 | C22 | semidirect |
| 33. C2×#4096 | C22 | semidirect |
| 34. C2×#4095 | C22 | semidirect |
| 35. C2×#4094 | C22 | semidirect |
| 36. C2×#4078 | C22 | semidirect |
| 37. C22×#686 | C22 | semidirect |
| 39. C2×#4054 | C22 | semidirect |
| 40. C2×#4054 | C22 | semidirect |
| 41. C2×#4050 | C22 | semidirect |
| 42. C22×D40 | C22 | semidirect |
| 47. #65859 | C22 | semidirect |
| 48. #65858 | C22 | semidirect |
| 49. #65844 | C22 | semidirect |
| 50. C2×#4041 | C22 | semidirect |
| 51. C5×#418 | C22 | semidirect |
| 52. C5×#417 | C22 | semidirect |
| 53. C5×#416 | C22 | semidirect |
| 54. C2×C5×#102 | C22 | semidirect |
| 55. #65418 | C22 | semidirect |
| 56. #65415 | C22 | semidirect |
| 57. #65399 | C22 | semidirect |
| 58. C2×#3952 | C22 | semidirect |
| 59. #65291 | C22 | semidirect |
| 60. #65290 | C22 | semidirect |
| 61. #65255 | C22 | semidirect |
| 62. C2×#3941 | C22 | semidirect |
| 63. #65100 | C22 | semidirect |
| 64. #65100 | C22 | semidirect |
| 65. #65099 | C22 | semidirect |
| 66. #65097 | C22 | semidirect |
| 67. #65095 | C22 | semidirect |
| 68. #65072 | C22 | semidirect |
| 69. #65070 | C22 | semidirect |
| 70. #65070 | C22 | semidirect |
| 71. #65065 | C22 | semidirect |
| 72. #65065 | C22 | semidirect |
| 73. #65062 | C22 | semidirect |
| 74. #65062 | C22 | semidirect |
| 75. #65062 | C22 | semidirect |
| 76. #65062 | C22 | semidirect |
| 77. #65062 | C22 | semidirect |
| 81. C5×H(5,𝔽2) | D4 | semidirect |
| 95. #4149 | D4 | semidirect |
| 131. C2×#709 | C23 | semidirect |
| 135. C22×D20 | C23 | semidirect |
| 139. C2×C5×M16 | C23 | semidirect |
| 140. C22×C5×C8 | C23 | semidirect |
| 143. C5×#117 | C23 | semidirect |
| 144. C2×C5×C4⋊C4 | C23 | semidirect |
| 148. C2×#689 | C23 | semidirect |
| 149. C2×#688 | C23 | semidirect |
| 150. C2×#687 | C23 | semidirect |
| 153. C2×#686 | C23 | semidirect |
| 154. C2×#686 | C23 | semidirect |
| 157. C2×#681 | C23 | semidirect |
| 158. C22×#168 | C23 | semidirect |
| 161. C2×Dic20 | C23 | semidirect |
| 164. C2×D40 | C23 | semidirect |
| 165. C2×D40 | C23 | semidirect |
| 166. C2×#677 | C23 | semidirect |
| 167. C2×#677 | C23 | semidirect |
| 170. #4043 | C23 | semidirect |
| 175. #4041 | C23 | semidirect |
| 176. #4041 | C23 | semidirect |
| 184. C5×#103 | C23 | semidirect |
| 185. C5×#103 | C23 | semidirect |
| 186. C5×#102 | C23 | semidirect |
| 187. C5×#102 | C23 | semidirect |
| 188. C5×#102 | C23 | semidirect |
| 191. #3952 | C23 | semidirect |
| 192. #3952 | C23 | semidirect |
| 193. #3952 | C23 | semidirect |
| 194. #3942 | C23 | semidirect |
| 195. #3942 | C23 | semidirect |
| 196. #3941 | C23 | semidirect |
| 197. #3941 | C23 | semidirect |
| 198. #3941 | C23 | semidirect |
| 212. #2897 | D5 | semidirect |
| 227. C5×#41 | C2×D4 | semidirect |
| 235. C2×C5×D4 | C2×D4 | semidirect |
| 282. #709 | C2×D4 | semidirect |
| 295. C2×D20 | C2×D4 | semidirect |
| 368. C2×#131 | C2×D5 | semidirect |
| 377. #520 | C2×D5 | semidirect |
| 394. #418 | C2×D5 | semidirect |
| 396. #417 | C2×D5 | semidirect |
| 398. #416 | C2×D5 | semidirect |
| 400. C2×#102 | C2×D5 | semidirect |
| 502. H(5,𝔽2) | D20 | semidirect |
| 570. C2×M16 | C22×D5 | semidirect |
| 572. C22×C8 | C22×D5 | semidirect |
| 592. #117 | C22×D5 | semidirect |
| 593. C2×C4⋊C4 | C22×D5 | semidirect |
| 597. #103 | C22×D5 | semidirect |
| 598. #103 | C22×D5 | semidirect |
| 602. #102 | C22×D5 | semidirect |
| 603. #102 | C22×D5 | semidirect |
| 604. #102 | C22×D5 | semidirect |
| 634. C2×D5 | #576 | semidirect |
| 675. #41 | C2×D20 | semidirect |
| 725. C2×D4 | C2×D20 | semidirect |
| 868. C5 | #60372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5×H(5,𝔽2) | 2 |
| C2×#66169 | 2 |
| C2×#66086 | 2 |
| #10617801 | 2 |
| C5×#2897 | 2 |
| #10615524 | 2 |
| #10614294 | 2 |
| #10610659 | 2 |
| #10610657 | 2 |
| #10610617 | 2 |
| #10610615 | 2 |
| #10610565 | 2 |
| #10610564 | 2 |
| #10610478 | 2 |
| C2×#65062 | 2 |
| #60372 | 5 |