Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
4646344 conjugacy classes of subgroups.
The subgroup lattice has 1180 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72337324 | C2 | 1 | 36 | yes | maximal, complemented |
| 2 | #72337323 | C2 | 1 | 6 | yes | maximal, complemented |
| 3 | #41×#379 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | C2×C22⋊C4×H(5,𝔽2) | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | C2×D4×#379 | C2 | 1 | 9 | yes | maximal, complemented |
| 6 | C25×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #72240153 | C2 | 1 | 54 | yes | maximal, complemented |
| 8 | #72235090 | C2 | 1 | 9 | yes | maximal, complemented |
| 9 | C24×H(5,𝔽2) | — | 2 | 192 | no | — |
| 10 | C24×H(5,𝔽2) | C4 | 1 | 64 | yes | complemented |
| 11 | C24×H(5,𝔽2) | C22 | 1 | 27 | yes | — |
| 12 | C24×H(5,𝔽2) | C22 | 1 | 18 | yes | — |
| 13 | C24×H(5,𝔽2) | C22 | 1 | 3 | yes | — |
| 14 | C25×#41 | C22 | 1 | 6 | yes | — |
| 15 | C26×D4 | C22 | 1 | 9 | yes | — |
| 16 | C22×C4×H(5,𝔽2) | C22 | 1 | 4 | yes | complemented |
| 17 | C22⋊C4×H(5,𝔽2) | — | 2 | 192 | no | — |
| 18 | C2×#34258 | C22 | 1 | 72 | yes | complemented |
| 19 | C2×#34256 | C22 | 1 | 108 | yes | complemented |
| 20 | C2×#34175 | C22 | 1 | 36 | yes | complemented |
| 21 | C2×#34171 | C22 | 1 | 54 | yes | complemented |
| 22 | C2×C22⋊C4×#41 | C22 | 1 | 36 | yes | complemented |
| 23 | C22×D4×C22⋊C4 | C22 | 1 | 54 | yes | complemented |
| 24 | C23×#379 | C22 | 1 | 6 | yes | complemented |
| 25 | #607558 | C22 | 1 | 18 | yes | complemented |
| 26 | C2×#14680 | C22 | 1 | 9 | yes | complemented |
| 27 | C2×#14679 | C22 | 1 | 18 | yes | complemented |
| 28 | Q8×#379 | C22 | 1 | 2 | yes | complemented |
| 29 | Q8×#379 | C22 | 1 | 6 | yes | complemented |
| 30 | #520465 | C22 | 1 | 36 | yes | complemented |
| 31 | #520465 | C22 | 1 | 36 | yes | complemented |
| 32 | #520464 | C22 | 1 | 108 | yes | complemented |
| 33 | #520464 | C22 | 1 | 108 | yes | complemented |
| 34 | D4×#379 | C22 | 1 | 18 | yes | complemented |
| 35 | D4×#379 | C22 | 1 | 36 | yes | complemented |
| 36 | D4×#379 | C22 | 1 | 18 | yes | complemented |
| 37 | D4×#379 | C22 | 1 | 216 | yes | complemented |
| 38 | D4×#379 | C22 | 1 | 216 | yes | complemented |
| 39 | #517617 | C22 | 1 | 48 | yes | complemented |
| 40 | #517592 | C22 | 1 | 432 | yes | complemented |
| 41 | #517415 | C22 | 1 | 54 | yes | complemented |
| 42 | #517413 | C22 | 1 | 108 | yes | complemented |
| 43 | #517411 | C22 | 1 | 108 | yes | complemented |
| 44 | #516324 | C22 | 1 | 216 | yes | complemented |
| 45 | #516323 | C22 | 1 | 144 | yes | complemented |
| 46 | #514204 | C22 | 1 | 108 | yes | complemented |
| 47 | C2×#13902 | C22 | 1 | 54 | yes | complemented |
| 48 | C2×#13867 | C22 | 1 | 108 | yes | complemented |
| 49 | C2×C4×#379 | C22 | 1 | 9 | yes | complemented |
| 50 | C28 | C23 | 1 | 6 | yes | — |
| 51 | C23×H(5,𝔽2) | — | 2 | 8192 | no | — |
| 52 | C23×H(5,𝔽2) | — | 2 | 6144 | no | — |
| 53 | C23×H(5,𝔽2) | — | 2 | 1728 | no | — |
| 54 | C23×H(5,𝔽2) | — | 2 | 1152 | no | — |
| 55 | C23×H(5,𝔽2) | — | 2 | 192 | no | — |
| 56 | C23×H(5,𝔽2) | — | 2 | 576 | no | — |
| 57 | C23×H(5,𝔽2) | — | 2 | 864 | no | — |
| 58 | C23×H(5,𝔽2) | C2×C4 | 1 | 96 | yes | — |
| 59 | C23×H(5,𝔽2) | C2×C4 | 1 | 864 | yes | complemented |
| 60 | C23×H(5,𝔽2) | C2×C4 | 1 | 576 | yes | complemented |
| 61 | C23×H(5,𝔽2) | D4 | 1 | 192 | yes | — |
| 62 | C23×H(5,𝔽2) | C23 | 1 | 108 | yes | — |
| 63 | C23×H(5,𝔽2) | C23 | 1 | 36 | yes | — |
| 64 | C23×H(5,𝔽2) | C23 | 1 | 54 | yes | — |
| 65 | C23×H(5,𝔽2) | C23 | 1 | 12 | yes | — |
| 66 | C23×H(5,𝔽2) | C23 | 1 | 27 | yes | — |
| 67 | C23×H(5,𝔽2) | C23 | 1 | 18 | yes | — |
| 68 | C23×H(5,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 69 | C24×#41 | — | 2 | 576 | no | — |
| 70 | C24×#41 | C2×C4 | 1 | 192 | yes | complemented |
| 71 | C24×#41 | C23 | 1 | 54 | yes | — |
| 72 | C24×#41 | C23 | 1 | 18 | yes | — |
| 73 | C24×#41 | C23 | 1 | 54 | yes | — |
| 74 | C24×#41 | C23 | 1 | 18 | yes | — |
| 75 | C25×Q8 | C23 | 1 | 2 | yes | — |
| 76 | C25×D4 | — | 2 | 864 | no | — |
| 77 | C25×D4 | C2×C4 | 1 | 288 | yes | complemented |
| 78 | C25×D4 | C23 | 1 | 18 | yes | — |
| 79 | C25×D4 | C23 | 1 | 108 | yes | — |
| 80 | C25×D4 | C23 | 1 | 54 | yes | — |
| 81 | C25×D4 | C23 | 1 | 27 | yes | — |
| 82 | C25×D4 | C23 | 1 | 27 | yes | — |
| 83 | C26×C4 | C23 | 1 | 9 | yes | — |
| 84 | C2×C4×H(5,𝔽2) | — | 2 | 192 | no | — |
| 85 | C22×#520 | C23 | 1 | 24 | yes | complemented |
| 86 | C22×#518 | C23 | 1 | 36 | yes | complemented |
| 87 | C22×C4×#41 | C23 | 1 | 24 | yes | complemented |
| 88 | C23×C4×D4 | C23 | 1 | 36 | yes | complemented |
| 89 | C24×C22⋊C4 | C23 | 1 | 36 | yes | complemented |
| 90 | #34258 | — | 2 | 1152 | no | — |
| 91 | #34256 | — | 2 | 1728 | no | — |
| 92 | #34175 | — | 2 | 576 | no | — |
| 93 | #34171 | — | 2 | 864 | no | — |
| 94 | C22⋊C4×#41 | — | 2 | 576 | no | — |
| 95 | C2×#2341 | C23 | 1 | 72 | yes | complemented |
| 96 | C2×#2341 | C23 | 1 | 72 | yes | complemented |
| 97 | C2×Q8×C22⋊C4 | C23 | 1 | 12 | yes | complemented |
| 98 | C2×Q8×C22⋊C4 | C23 | 1 | 36 | yes | complemented |
| 99 | C2×#2339 | C23 | 1 | 216 | yes | complemented |
| 100 | C2×#2339 | C23 | 1 | 216 | yes | complemented |
| 101 | C2×D4×C22⋊C4 | — | 2 | 864 | no | — |
| 102 | C2×D4×C22⋊C4 | C23 | 1 | 108 | yes | complemented |
| 103 | C2×D4×C22⋊C4 | C23 | 1 | 216 | yes | complemented |
| 104 | C2×D4×C22⋊C4 | C23 | 1 | 108 | yes | complemented |
| 105 | C2×D4×C22⋊C4 | C23 | 1 | 432 | yes | complemented |
| 106 | C2×D4×C22⋊C4 | C23 | 1 | 432 | yes | complemented |
| 107 | C2×#2311 | C23 | 1 | 216 | yes | complemented |
| 108 | C2×#2309 | C23 | 1 | 108 | yes | complemented |
| 109 | C2×#2308 | C23 | 1 | 216 | yes | complemented |
| 110 | C2×#2297 | C23 | 1 | 216 | yes | complemented |
| 111 | C22×#390 | C23 | 1 | 108 | yes | complemented |
| 112 | C22×#386 | C23 | 1 | 216 | yes | complemented |
| 113 | C2×#2280 | C23 | 1 | 108 | yes | complemented |
| 114 | C22×#380 | C23 | 1 | 54 | yes | complemented |
| 115 | C22×#379 | — | 4 | 48 | no | — |
| 116 | C22×#379 | C23 | 1 | 9 | yes | — |
| 117 | C22×#379 | C23 | 1 | 18 | yes | — |
| 118 | C22×#379 | C23 | 1 | 9 | yes | — |
| 119 | C22×#379 | C23 | 1 | 108 | yes | complemented |
| 120 | C22×#379 | C23 | 1 | 108 | yes | complemented |
| 121 | C22×#379 | C23 | 1 | 108 | yes | complemented |
| 122 | C22×C4×C22⋊C4 | C23 | 1 | 54 | yes | complemented |
| 123 | #14681 | C23 | 1 | 108 | yes | complemented |
| 124 | #14680 | C23 | 1 | 18 | yes | — |
| 125 | #14680 | C23 | 1 | 6 | yes | — |
| 126 | #14680 | C23 | 1 | 108 | yes | complemented |
| 127 | #14680 | C23 | 1 | 108 | yes | complemented |
| 128 | #14679 | C23 | 1 | 36 | yes | — |
| 129 | #14679 | C23 | 1 | 216 | yes | complemented |
| 130 | #14337 | C23 | 1 | 144 | yes | complemented |
| 131 | #14335 | C23 | 1 | 216 | yes | complemented |
| 132 | #13956 | C23 | 1 | 432 | yes | complemented |
| 133 | #13956 | C23 | 1 | 432 | yes | complemented |
| 134 | #13937 | C23 | 1 | 432 | yes | complemented |
| 135 | #13937 | C23 | 1 | 432 | yes | complemented |
| 136 | #13922 | C23 | 1 | 108 | yes | complemented |
| 137 | #13922 | C23 | 1 | 36 | yes | complemented |
| 138 | #13902 | C23 | 1 | 216 | yes | complemented |
| 139 | #13902 | C23 | 1 | 108 | yes | complemented |
| 140 | #13902 | C23 | 1 | 108 | yes | complemented |
| 141 | #13902 | C23 | 1 | 432 | yes | complemented |
| 142 | #13902 | C23 | 1 | 432 | yes | complemented |
| 143 | #13867 | C23 | 1 | 216 | yes | complemented |
| 144 | #13867 | C23 | 1 | 432 | yes | complemented |
| 145 | #13867 | C23 | 1 | 216 | yes | complemented |
| 146 | #13867 | C23 | 1 | 864 | yes | complemented |
| 147 | #13867 | C23 | 1 | 864 | yes | complemented |
| 148 | #13851 | C23 | 1 | 144 | yes | complemented |
| 149 | C2×#1438 | C23 | 1 | 216 | yes | complemented |
| 150 | C4×#379 | C23 | 1 | 18 | yes | — |
| 151 | C4×#379 | C23 | 1 | 6 | yes | — |
| 152 | C4×#379 | C23 | 1 | 108 | yes | complemented |
| 153 | C4×#379 | C23 | 1 | 108 | yes | complemented |
| 154 | C2×C22⋊#95 | C23 | 1 | 54 | yes | complemented |
| 155 | C2×C22⋊#95 | C23 | 1 | 54 | yes | complemented |
| 156 | C27 | — | 2 | 288 | no | — |
| 157 | C27 | — | 4 | 24 | no | — |
| 158 | C27 | — | 4 | 24 | no | — |
| 159 | C27 | — | 8 | 72 | no | — |
| 160 | C27 | C22×C4 | 1 | 96 | yes | complemented |
| 161 | C27 | C24 | 1 | 9 | yes | — |
| 162 | C27 | C24 | 1 | 54 | yes | — |
| 163 | C27 | C24 | 1 | 18 | yes | — |
| 164 | C22×H(5,𝔽2) | — | 2 | 131072 | no | — |
| 165 | C22×H(5,𝔽2) | — | 2 | 36864 | no | — |
| 166 | C22×H(5,𝔽2) | — | 2 | 55296 | no | — |
| 167 | C22×H(5,𝔽2) | — | 2 | 3072 | no | — |
| 168 | C22×H(5,𝔽2) | — | 2 | 27648 | no | — |
| 169 | C22×H(5,𝔽2) | — | 2 | 18432 | no | — |
| 170 | C22×H(5,𝔽2) | — | 2 | 6144 | no | — |
| 171 | C22×H(5,𝔽2) | — | 2 | 9216 | no | — |
| 172 | C22×H(5,𝔽2) | — | 2 | 1728 | no | — |
| 173 | C22×H(5,𝔽2) | — | 2 | 1728 | no | — |
| 174 | C22×H(5,𝔽2) | — | 2 | 576 | no | — |
| 175 | C22×H(5,𝔽2) | — | 2 | 576 | no | — |
| 176 | C22×H(5,𝔽2) | — | 2 | 13824 | no | — |
| 177 | C22×H(5,𝔽2) | — | 2 | 1728 | no | — |
| 178 | C22×H(5,𝔽2) | — | 2 | 864 | no | — |
| 179 | C22×H(5,𝔽2) | — | 2 | 3456 | no | — |
| 180 | C22×H(5,𝔽2) | — | 2 | 864 | no | — |
| 181 | C22×H(5,𝔽2) | C22⋊C4 | 1 | 3072 | yes | complemented |
| 182 | C22×H(5,𝔽2) | C22×C4 | 1 | 288 | yes | — |
| 183 | C22×H(5,𝔽2) | C22×C4 | 1 | 432 | yes | — |
| 184 | C22×H(5,𝔽2) | C22×C4 | 1 | 16 | yes | — |
| 185 | C22×H(5,𝔽2) | C22×C4 | 1 | 192 | yes | complemented |
| 186 | C22×H(5,𝔽2) | C22×C4 | 1 | 864 | yes | complemented |
| 187 | C22×H(5,𝔽2) | C22×C4 | 1 | 1728 | yes | complemented |
| 188 | C22×H(5,𝔽2) | C22×C4 | 1 | 576 | yes | complemented |
| 189 | C22×H(5,𝔽2) | C2×D4 | 1 | 864 | yes | — |
| 190 | C22×H(5,𝔽2) | C2×D4 | 1 | 576 | yes | — |
| 191 | C22×H(5,𝔽2) | C2×D4 | 1 | 96 | yes | — |
| 192 | C23×#41 | — | 2 | 12288 | no | — |
| 193 | C23×#41 | — | 2 | 9216 | no | — |
| 194 | C23×#41 | — | 2 | 1728 | no | — |
| 195 | C23×#41 | — | 2 | 1728 | no | — |
| 196 | C23×#41 | — | 2 | 576 | no | — |
| 197 | C23×#41 | — | 2 | 576 | no | — |
| 198 | C23×#41 | — | 2 | 288 | no | — |
| 199 | C23×#41 | — | 2 | 864 | no | — |
| 200 | C23×#41 | — | 2 | 864 | no | — |
| 201 | C23×#41 | C22×C4 | 1 | 288 | yes | — |
| 202 | C23×#41 | C22×C4 | 1 | 288 | yes | complemented |
| 203 | C23×#41 | C22×C4 | 1 | 864 | yes | complemented |
| 204 | C23×#41 | C22×C4 | 1 | 864 | yes | complemented |
| 205 | C23×#41 | C2×D4 | 1 | 576 | yes | — |
| 206 | C23×#41 | C24 | 1 | 36 | yes | — |
| 207 | C23×#41 | C24 | 1 | 108 | yes | — |
| 208 | C23×#41 | C24 | 1 | 108 | yes | — |
| 209 | C23×#41 | C24 | 1 | 54 | yes | — |
| 210 | C23×#41 | C24 | 1 | 18 | yes | — |
| 211 | C23×#41 | C24 | 1 | 54 | yes | — |
| 212 | C23×#41 | C24 | 1 | 6 | yes | — |
| 213 | C24×Q8 | — | 2 | 96 | no | — |
| 214 | C24×Q8 | C22×C4 | 1 | 32 | yes | complemented |
| 215 | C24×Q8 | C24 | 1 | 18 | yes | — |
| 216 | C24×Q8 | C24 | 1 | 6 | yes | — |
| 217 | C24×D4 | — | 2 | 18432 | no | — |
| 218 | C24×D4 | — | 2 | 864 | no | — |
| 219 | C24×D4 | — | 2 | 13824 | no | — |
| 220 | C24×D4 | — | 2 | 864 | no | — |
| 221 | C24×D4 | — | 2 | 1728 | no | — |
| 222 | C24×D4 | — | 2 | 1728 | no | — |
| 223 | C24×D4 | — | 2 | 864 | no | — |
| 224 | C24×D4 | — | 2 | 3456 | no | — |
| 225 | C24×D4 | — | 2 | 864 | no | — |
| 226 | C24×D4 | — | 2 | 432 | no | — |
| 227 | C24×D4 | C22×C4 | 1 | 432 | yes | — |
| 228 | C24×D4 | C22×C4 | 1 | 288 | yes | complemented |
| 229 | C24×D4 | C22×C4 | 1 | 864 | yes | complemented |
| 230 | C24×D4 | C22×C4 | 1 | 1728 | yes | complemented |
| 231 | C24×D4 | C22×C4 | 1 | 432 | yes | complemented |
| 232 | C24×D4 | C2×D4 | 1 | 864 | yes | — |
| 233 | C24×D4 | C24 | 1 | 54 | yes | — |
| 234 | C24×D4 | C24 | 1 | 108 | yes | — |
| 235 | C24×D4 | C24 | 1 | 216 | yes | — |
| 236 | C24×D4 | C24 | 1 | 54 | yes | — |
| 237 | C24×D4 | C24 | 1 | 108 | yes | — |
| 238 | C24×D4 | C24 | 1 | 54 | yes | — |
| 239 | C24×D4 | C24 | 1 | 108 | yes | — |
| 240 | C24×D4 | C24 | 1 | 54 | yes | — |
| 241 | C24×D4 | C24 | 1 | 27 | yes | — |
| 242 | C24×D4 | C24 | 1 | 9 | yes | — |
| 243 | C25×C4 | — | 2 | 432 | no | — |
| 244 | C25×C4 | C22×C4 | 1 | 144 | yes | complemented |
| 245 | C25×C4 | C24 | 1 | 6 | yes | — |
| 246 | C25×C4 | C24 | 1 | 54 | yes | — |
| 247 | C25×C4 | C24 | 1 | 27 | yes | — |
| 248 | C25×C4 | C24 | 1 | 27 | yes | — |
| 249 | C25×C4 | C24 | 1 | 24 | yes | complemented |
| 250 | C4×H(5,𝔽2) | — | 4 | 1024 | no | — |
| 251 | C2×#520 | — | 2 | 576 | no | — |
| 252 | C2×#518 | — | 2 | 864 | no | — |
| 253 | C2×C4×#41 | — | 2 | 576 | no | — |
| 254 | C22×C4×Q8 | C24 | 1 | 8 | yes | complemented |
| 255 | C22×C4×Q8 | C24 | 1 | 24 | yes | complemented |
| 256 | C22×C4×D4 | — | 2 | 864 | no | — |
| 257 | C22×C4×D4 | C24 | 1 | 72 | yes | complemented |
| 258 | C22×C4×D4 | C24 | 1 | 144 | yes | complemented |
| 259 | C22×C4×D4 | C24 | 1 | 72 | yes | complemented |
| 260 | C22×#117 | C24 | 1 | 72 | yes | complemented |
| 261 | C23×C4⋊C4 | C24 | 1 | 36 | yes | complemented |
| 262 | C23×C22⋊C4 | — | 2 | 288 | no | — |
| 263 | C23×C22⋊C4 | — | 4 | 144 | no | — |
| 264 | C23×C22⋊C4 | — | 8 | 72 | no | — |
| 265 | C23×C22⋊C4 | C24 | 1 | 54 | yes | — |
| 266 | C23×C22⋊C4 | C24 | 1 | 108 | yes | — |
| 267 | C23×C22⋊C4 | C24 | 1 | 54 | yes | — |
| 268 | C23×C22⋊C4 | C24 | 1 | 72 | yes | complemented |
| 269 | C23×C22⋊C4 | C24 | 1 | 216 | yes | complemented |
| 270 | C23×C22⋊C4 | C24 | 1 | 216 | yes | complemented |
| 271 | C23×C42 | C24 | 1 | 36 | yes | complemented |
| 272 | #2341 | — | 2 | 576 | no | — |
| 273 | #2341 | — | 2 | 576 | no | — |
| 274 | Q8×C22⋊C4 | — | 2 | 96 | no | — |
| 275 | Q8×C22⋊C4 | — | 2 | 288 | no | — |
| 276 | #2339 | — | 2 | 1728 | no | — |
| 277 | #2339 | — | 2 | 1728 | no | — |
| 278 | D4×C22⋊C4 | — | 2 | 864 | no | — |
| 279 | D4×C22⋊C4 | — | 2 | 1728 | no | — |
| 280 | D4×C22⋊C4 | — | 2 | 3456 | no | — |
| 281 | D4×C22⋊C4 | — | 2 | 864 | no | — |
| 282 | D4×C22⋊C4 | — | 2 | 3456 | no | — |
| 283 | #2311 | — | 2 | 1728 | no | — |
| 284 | #2309 | — | 2 | 864 | no | — |
| 285 | #2308 | — | 2 | 1728 | no | — |
| 286 | #2297 | — | 2 | 1728 | no | — |
| 287 | C2×#391 | C24 | 1 | 72 | yes | complemented |
| 288 | C2×#391 | C24 | 1 | 216 | yes | complemented |
| 289 | C2×#390 | — | 2 | 864 | no | — |
| 290 | C2×#390 | C24 | 1 | 216 | yes | complemented |
| 291 | C2×#390 | C24 | 1 | 432 | yes | complemented |
| 292 | C2×#390 | C24 | 1 | 216 | yes | complemented |
| 293 | C2×#386 | — | 2 | 1728 | no | — |
| 294 | C2×#386 | C24 | 1 | 432 | yes | complemented |
| 295 | C2×#386 | C24 | 1 | 864 | yes | complemented |
| 296 | C2×#386 | C24 | 1 | 432 | yes | complemented |
| 297 | #2280 | — | 2 | 864 | no | — |
| 298 | C2×#381 | C24 | 1 | 216 | yes | complemented |
| 299 | C2×#380 | — | 2 | 432 | no | — |
| 300 | C2×#380 | C24 | 1 | 108 | yes | — |
| 301 | C2×#380 | C24 | 1 | 36 | yes | — |
| 302 | C2×#380 | C24 | 1 | 216 | yes | complemented |
| 303 | C2×#380 | C24 | 1 | 216 | yes | complemented |
| 304 | C2×#379 | — | 2 | 72 | no | — |
| 305 | C2×#379 | — | 2 | 864 | no | — |
| 306 | C2×#379 | — | 4 | 432 | no | — |
| 307 | C2×#379 | — | 4 | 72 | no | — |
| 308 | C2×#379 | — | 4 | 36 | no | — |
| 309 | C2×#379 | — | 8 | 216 | no | — |
| 310 | C2×#379 | C24 | 1 | 216 | yes | — |
| 311 | C2×#379 | C24 | 1 | 54 | yes | — |
| 312 | C2×#379 | C24 | 1 | 6 | yes | — |
| 313 | C2×#379 | C24 | 1 | 9 | yes | — |
| 314 | C2×#379 | C24 | 1 | 216 | yes | — |
| 315 | C2×#379 | C24 | 1 | 54 | yes | — |
| 316 | C2×#379 | C24 | 1 | 108 | yes | — |
| 317 | C2×#379 | C24 | 1 | 1 | yes | characteristic |
| 318 | C2×#379 | C24 | 1 | 432 | yes | complemented |
| 319 | C2×#379 | C24 | 1 | 144 | yes | complemented |
| 320 | C2×#379 | C24 | 1 | 432 | yes | complemented |
| 321 | C2×C4×C22⋊C4 | — | 2 | 432 | no | — |
| 322 | C2×C4×C22⋊C4 | C24 | 1 | 36 | yes | — |
| 323 | C2×C4×C22⋊C4 | C24 | 1 | 108 | yes | — |
| 324 | C2×C4×C22⋊C4 | C24 | 1 | 216 | yes | complemented |
| 325 | C2×C4×C22⋊C4 | C24 | 1 | 216 | yes | complemented |
| 326 | C22×#95 | C24 | 1 | 108 | yes | complemented |
| 327 | C22×#95 | C24 | 1 | 108 | yes | complemented |
| 328 | #1446 | C24 | 1 | 144 | yes | complemented |
| 329 | #1446 | C24 | 1 | 48 | yes | complemented |
| 330 | #1438 | C24 | 1 | 864 | yes | complemented |
| 331 | #1438 | C24 | 1 | 432 | yes | complemented |
| 332 | #1438 | C24 | 1 | 432 | yes | complemented |
| 333 | C22⋊#95 | C24 | 1 | 108 | yes | — |
| 334 | C22⋊#95 | C24 | 1 | 36 | yes | — |
| 335 | C22⋊#95 | C24 | 1 | 108 | yes | — |
| 336 | C22⋊#95 | C24 | 1 | 36 | yes | — |
| 337 | C22⋊#95 | C24 | 1 | 216 | yes | complemented |
| 338 | C22⋊#95 | C24 | 1 | 432 | yes | complemented |
| 339 | C22⋊#95 | C24 | 1 | 216 | yes | complemented |
| 340 | C26 | — | 2 | 3072 | no | — |
| 341 | C26 | — | 2 | 216 | no | — |
| 342 | C26 | — | 2 | 2304 | no | — |
| 343 | C26 | — | 2 | 864 | no | — |
| 344 | C26 | — | 2 | 432 | no | — |
| 345 | C26 | — | 2 | 288 | no | — |
| 346 | C26 | — | 2 | 36 | no | — |
| 347 | C26 | — | 2 | 36 | no | — |
| 348 | C26 | — | 4 | 108 | no | — |
| 349 | C26 | — | 4 | 36 | no | — |
| 350 | C26 | — | 4 | 36 | no | — |
| 351 | C26 | — | 4 | 72 | no | — |
| 352 | C26 | — | 4 | 384 | no | — |
| 353 | C26 | — | 4 | 108 | no | — |
| 354 | C26 | — | 4 | 108 | no | — |
| 355 | C26 | — | 4 | 216 | no | — |
| 356 | C26 | — | 8 | 576 | no | — |
| 357 | C26 | — | 8 | 72 | no | — |
| 358 | C26 | — | 8 | 216 | no | — |
| 359 | C26 | — | 8 | 1152 | no | — |
| 360 | C26 | — | 8 | 1152 | no | — |
| 361 | C26 | — | 8 | 2304 | no | — |
| 362 | C26 | C23×C4 | 1 | 72 | yes | — |
| 363 | C26 | C23×C4 | 1 | 432 | yes | — |
| 364 | C26 | C23×C4 | 1 | 144 | yes | — |
| 365 | C26 | C22×D4 | 1 | 288 | yes | — |
| 366 | C26 | C25 | 1 | 1 | yes | characteristic |
| 367 | C26 | C25 | 1 | 27 | yes | — |
| 368 | C26 | C25 | 1 | 27 | yes | — |
| 369 | C26 | C25 | 1 | 36 | yes | — |
| 370 | C26 | C25 | 1 | 54 | yes | — |
| 371 | C26 | C25 | 1 | 6 | yes | — |
| 372 | C2×H(5,𝔽2) | — | 2 | 294912 | no | — |
| 373 | C2×H(5,𝔽2) | — | 2 | 6144 | no | — |
| 374 | C2×H(5,𝔽2) | — | 2 | 442368 | no | — |
| 375 | C2×H(5,𝔽2) | — | 2 | 27648 | no | — |
| 376 | C2×H(5,𝔽2) | — | 2 | 55296 | no | — |
| 377 | C2×H(5,𝔽2) | — | 2 | 18432 | no | — |
| 378 | C2×H(5,𝔽2) | — | 2 | 49152 | no | — |
| 379 | C2×H(5,𝔽2) | — | 2 | 4608 | no | — |
| 380 | C2×H(5,𝔽2) | — | 2 | 4608 | no | — |
| 381 | C2×H(5,𝔽2) | — | 2 | 13824 | no | — |
| 382 | C2×H(5,𝔽2) | — | 2 | 13824 | no | — |
| 383 | C2×H(5,𝔽2) | — | 2 | 9216 | no | — |
| 384 | C2×H(5,𝔽2) | — | 2 | 6912 | no | — |
| 385 | C2×H(5,𝔽2) | — | 2 | 6912 | no | — |
| 386 | C2×H(5,𝔽2) | — | 2 | 27648 | no | — |
| 387 | C2×H(5,𝔽2) | — | 2 | 13824 | no | — |
| 388 | C2×H(5,𝔽2) | — | 2 | 13824 | no | — |
| 389 | C2×H(5,𝔽2) | C2×C22⋊C4 | 1 | 768 | yes | — |
| 390 | C2×H(5,𝔽2) | C2×C22⋊C4 | 1 | 6912 | yes | complemented |
| 391 | C2×H(5,𝔽2) | C2×C22⋊C4 | 1 | 4608 | yes | complemented |
| 392 | C2×H(5,𝔽2) | #120 | 1 | 1024 | yes | — |
| 393 | C22×#41 | — | 2 | 98304 | no | — |
| 394 | C22×#41 | — | 2 | 9216 | no | — |
| 395 | C22×#41 | — | 2 | 27648 | no | — |
| 396 | C22×#41 | — | 2 | 27648 | no | — |
| 397 | C22×#41 | — | 2 | 4608 | no | — |
| 398 | C22×#41 | — | 2 | 4608 | no | — |
| 399 | C22×#41 | — | 2 | 13824 | no | — |
| 400 | C22×#41 | — | 2 | 13824 | no | — |
| 401 | C22×#41 | — | 2 | 9216 | no | — |
| 402 | C22×#41 | — | 2 | 2304 | no | — |
| 403 | C22×#41 | — | 2 | 864 | no | — |
| 404 | C22×#41 | — | 2 | 288 | no | — |
| 405 | C22×#41 | — | 2 | 6912 | no | — |
| 406 | C22×#41 | — | 2 | 1728 | no | — |
| 407 | C22×#41 | — | 2 | 864 | no | — |
| 408 | C22×#41 | — | 2 | 864 | no | — |
| 409 | C22×#41 | — | 2 | 6912 | no | — |
| 410 | C22×#41 | — | 2 | 864 | no | — |
| 411 | C22×#41 | — | 2 | 864 | no | — |
| 412 | C22×#41 | — | 2 | 864 | no | — |
| 413 | C22×#41 | — | 2 | 864 | no | — |
| 414 | C22×#41 | C2×C22⋊C4 | 1 | 4608 | yes | complemented |
| 415 | C22×#41 | C23×C4 | 1 | 864 | yes | — |
| 416 | C22×#41 | C23×C4 | 1 | 864 | yes | — |
| 417 | C22×#41 | C23×C4 | 1 | 288 | yes | — |
| 418 | C22×#41 | C23×C4 | 1 | 144 | yes | — |
| 419 | C22×#41 | C23×C4 | 1 | 432 | yes | — |
| 420 | C22×#41 | C23×C4 | 1 | 432 | yes | — |
| 421 | C22×#41 | C23×C4 | 1 | 48 | yes | — |
| 422 | C22×#41 | C22×D4 | 1 | 864 | yes | — |
| 423 | C22×#41 | C22×D4 | 1 | 864 | yes | — |
| 424 | C22×#41 | C22×D4 | 1 | 288 | yes | — |
| 425 | C22×#41 | C22×D4 | 1 | 288 | yes | — |
| 426 | C23×Q8 | — | 2 | 1024 | no | — |
| 427 | C23×Q8 | — | 2 | 768 | no | — |
| 428 | C23×Q8 | — | 2 | 288 | no | — |
| 429 | C23×Q8 | — | 2 | 96 | no | — |
| 430 | C23×Q8 | — | 2 | 144 | no | — |
| 431 | C23×Q8 | C23×C4 | 1 | 144 | yes | — |
| 432 | C23×Q8 | C23×C4 | 1 | 48 | yes | — |
| 433 | C23×Q8 | C22×D4 | 1 | 96 | yes | — |
| 434 | C23×Q8 | C25 | 1 | 12 | yes | — |
| 435 | C23×Q8 | C25 | 1 | 18 | yes | — |
| 436 | C23×Q8 | C25 | 1 | 2 | yes | — |
| 437 | C23×D4 | — | 2 | 9216 | no | — |
| 438 | C23×D4 | — | 2 | 27648 | no | — |
| 439 | C23×D4 | — | 2 | 147456 | no | — |
| 440 | C23×D4 | — | 2 | 55296 | no | — |
| 441 | C23×D4 | — | 2 | 13824 | no | — |
| 442 | C23×D4 | — | 2 | 6912 | no | — |
| 443 | C23×D4 | — | 2 | 864 | no | — |
| 444 | C23×D4 | — | 2 | 864 | no | — |
| 445 | C23×D4 | — | 2 | 1728 | no | — |
| 446 | C23×D4 | — | 2 | 864 | no | — |
| 447 | C23×D4 | — | 2 | 6912 | no | — |
| 448 | C23×D4 | — | 2 | 6912 | no | — |
| 449 | C23×D4 | — | 2 | 13824 | no | — |
| 450 | C23×D4 | — | 2 | 13824 | no | — |
| 451 | C23×D4 | — | 2 | 27648 | no | — |
| 452 | C23×D4 | — | 2 | 6912 | no | — |
| 453 | C23×D4 | — | 2 | 13824 | no | — |
| 454 | C23×D4 | — | 2 | 1728 | no | — |
| 455 | C23×D4 | — | 2 | 864 | no | — |
| 456 | C23×D4 | — | 2 | 864 | no | — |
| 457 | C23×D4 | — | 2 | 3456 | no | — |
| 458 | C23×D4 | — | 2 | 1728 | no | — |
| 459 | C23×D4 | — | 2 | 1728 | no | — |
| 460 | C23×D4 | — | 2 | 3456 | no | — |
| 461 | C23×D4 | — | 2 | 432 | no | — |
| 462 | C23×D4 | — | 2 | 432 | no | — |
| 463 | C23×D4 | — | 2 | 864 | no | — |
| 464 | C23×D4 | — | 2 | 432 | no | — |
| 465 | C23×D4 | C2×C22⋊C4 | 1 | 6912 | yes | complemented |
| 466 | C23×D4 | C23×C4 | 1 | 864 | yes | — |
| 467 | C23×D4 | C23×C4 | 1 | 432 | yes | — |
| 468 | C23×D4 | C23×C4 | 1 | 1728 | yes | — |
| 469 | C23×D4 | C23×C4 | 1 | 432 | yes | — |
| 470 | C23×D4 | C23×C4 | 1 | 864 | yes | — |
| 471 | C23×D4 | C23×C4 | 1 | 432 | yes | — |
| 472 | C23×D4 | C23×C4 | 1 | 432 | yes | — |
| 473 | C23×D4 | C23×C4 | 1 | 864 | yes | — |
| 474 | C23×D4 | C23×C4 | 1 | 216 | yes | — |
| 475 | C23×D4 | C23×C4 | 1 | 72 | yes | — |
| 476 | C23×D4 | C22×D4 | 1 | 864 | yes | — |
| 477 | C23×D4 | C22×D4 | 1 | 864 | yes | — |
| 478 | C23×D4 | C22×D4 | 1 | 432 | yes | — |
| 479 | C23×D4 | C22×D4 | 1 | 1728 | yes | — |
| 480 | C23×D4 | C22×D4 | 1 | 432 | yes | — |
| 481 | C23×D4 | C25 | 1 | 108 | yes | — |
| 482 | C23×D4 | C25 | 1 | 108 | yes | — |
| 483 | C23×D4 | C25 | 1 | 54 | yes | — |
| 484 | C23×D4 | C25 | 1 | 18 | yes | — |
| 485 | C24×C4 | — | 2 | 4608 | no | — |
| 486 | C24×C4 | — | 2 | 216 | no | — |
| 487 | C24×C4 | — | 2 | 3456 | no | — |
| 488 | C24×C4 | — | 2 | 144 | no | — |
| 489 | C24×C4 | — | 2 | 432 | no | — |
| 490 | C24×C4 | — | 2 | 432 | no | — |
| 491 | C24×C4 | — | 2 | 864 | no | — |
| 492 | C24×C4 | — | 2 | 432 | no | — |
| 493 | C24×C4 | — | 2 | 288 | no | — |
| 494 | C24×C4 | — | 4 | 48 | no | — |
| 495 | C24×C4 | — | 8 | 72 | no | — |
| 496 | C24×C4 | C23×C4 | 1 | 48 | yes | — |
| 497 | C24×C4 | C23×C4 | 1 | 216 | yes | — |
| 498 | C24×C4 | C23×C4 | 1 | 432 | yes | — |
| 499 | C24×C4 | C23×C4 | 1 | 216 | yes | — |
| 500 | C24×C4 | C22×D4 | 1 | 432 | yes | — |
| 501 | C24×C4 | C25 | 1 | 18 | yes | — |
| 502 | C24×C4 | C25 | 1 | 54 | yes | — |
| 503 | C24×C4 | C25 | 1 | 36 | yes | — |
| 504 | C24×C4 | C25 | 1 | 18 | yes | — |
| 505 | C24×C4 | C25 | 1 | 27 | yes | — |
| 506 | C24×C4 | C25 | 1 | 54 | yes | — |
| 507 | C24×C4 | C25 | 1 | 72 | yes | — |
| 508 | C24×C4 | C25 | 1 | 36 | yes | — |
| 509 | C24×C4 | C25 | 1 | 9 | yes | — |
| 510 | #520 | — | 4 | 1536 | no | — |
| 511 | #518 | — | 4 | 2304 | no | — |
| 512 | C4×#41 | — | 4 | 1536 | no | — |
| 513 | C2×C4×Q8 | — | 2 | 96 | no | — |
| 514 | C2×C4×Q8 | — | 2 | 288 | no | — |
| 515 | C2×C4×D4 | — | 2 | 864 | no | — |
| 516 | C2×C4×D4 | — | 2 | 1728 | no | — |
| 517 | C2×C4×D4 | — | 2 | 864 | no | — |
| 518 | C2×C4×D4 | — | 4 | 2304 | no | — |
| 519 | C2×#117 | — | 2 | 864 | no | — |
| 520 | C22×C4⋊C4 | — | 2 | 432 | no | — |
| 521 | C22×C4⋊C4 | C25 | 1 | 72 | yes | — |
| 522 | C22×C4⋊C4 | C25 | 1 | 24 | yes | — |
| 523 | C22×C22⋊C4 | — | 2 | 864 | no | — |
| 524 | C22×C22⋊C4 | — | 2 | 216 | no | — |
| 525 | C22×C22⋊C4 | — | 2 | 432 | no | — |
| 526 | C22×C22⋊C4 | — | 2 | 864 | no | — |
| 527 | C22×C22⋊C4 | — | 2 | 216 | no | — |
| 528 | C22×C22⋊C4 | — | 2 | 864 | no | — |
| 529 | C22×C22⋊C4 | — | 2 | 216 | no | — |
| 530 | C22×C22⋊C4 | — | 4 | 108 | no | — |
| 531 | C22×C22⋊C4 | — | 4 | 432 | no | — |
| 532 | C22×C22⋊C4 | — | 4 | 216 | no | — |
| 533 | C22×C22⋊C4 | — | 4 | 216 | no | — |
| 534 | C22×C22⋊C4 | — | 4 | 108 | no | — |
| 535 | C22×C22⋊C4 | — | 4 | 108 | no | — |
| 536 | C22×C22⋊C4 | — | 8 | 216 | no | — |
| 537 | C22×C22⋊C4 | — | 8 | 432 | no | — |
| 538 | C22×C22⋊C4 | — | 8 | 1152 | no | — |
| 539 | C22×C22⋊C4 | C25 | 1 | 54 | yes | — |
| 540 | C22×C22⋊C4 | C25 | 1 | 36 | yes | — |
| 541 | C22×C22⋊C4 | C25 | 1 | 144 | yes | — |
| 542 | C22×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 543 | C22×C22⋊C4 | C25 | 1 | 6 | yes | — |
| 544 | C22×C22⋊C4 | C25 | 1 | 216 | yes | — |
| 545 | C22×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 546 | C22×C22⋊C4 | C25 | 1 | 432 | yes | — |
| 547 | C22×C42 | — | 2 | 432 | no | — |
| 548 | C22×C42 | C25 | 1 | 24 | yes | — |
| 549 | C22×C42 | C25 | 1 | 72 | yes | — |
| 550 | #391 | — | 2 | 864 | no | — |
| 551 | #391 | — | 2 | 288 | no | — |
| 552 | #390 | — | 2 | 864 | no | — |
| 553 | #390 | — | 2 | 1728 | no | — |
| 554 | #390 | — | 2 | 864 | no | — |
| 555 | #386 | — | 2 | 1728 | no | — |
| 556 | #386 | — | 2 | 3456 | no | — |
| 557 | #386 | — | 2 | 1728 | no | — |
| 558 | #381 | — | 2 | 864 | no | — |
| 559 | #380 | — | 2 | 864 | no | — |
| 560 | #380 | — | 2 | 864 | no | — |
| 561 | #380 | — | 2 | 432 | no | — |
| 562 | #380 | — | 2 | 144 | no | — |
| 563 | #379 | — | 2 | 1728 | no | — |
| 564 | #379 | — | 2 | 864 | no | — |
| 565 | #379 | — | 2 | 36 | no | — |
| 566 | #379 | — | 2 | 24 | no | — |
| 567 | #379 | — | 2 | 216 | no | — |
| 568 | #379 | — | 4 | 288 | no | — |
| 569 | #379 | — | 4 | 216 | no | — |
| 570 | #379 | — | 4 | 108 | no | — |
| 571 | #379 | — | 4 | 432 | no | — |
| 572 | #379 | — | 8 | 432 | no | — |
| 573 | #379 | H(5,𝔽2) | 1 | 8 | yes | direct product factor |
| 574 | C4×C22⋊C4 | — | 2 | 144 | no | — |
| 575 | C4×C22⋊C4 | — | 2 | 432 | no | — |
| 576 | C4×C22⋊C4 | — | 2 | 864 | no | — |
| 577 | C4×C22⋊C4 | — | 2 | 864 | no | — |
| 578 | C2×#95 | — | 2 | 432 | no | — |
| 579 | C2×#95 | — | 2 | 432 | no | — |
| 580 | C2×#95 | C25 | 1 | 72 | yes | — |
| 581 | C2×#95 | C25 | 1 | 216 | yes | — |
| 582 | C2×#95 | C25 | 1 | 216 | yes | — |
| 583 | C2×#95 | C25 | 1 | 72 | yes | — |
| 584 | C25 | — | 2 | 12 | no | — |
| 585 | C25 | — | 2 | 12 | no | — |
| 586 | C25 | — | 2 | 1152 | no | — |
| 587 | C25 | — | 2 | 12288 | no | — |
| 588 | C25 | — | 2 | 6912 | no | — |
| 589 | C25 | — | 2 | 216 | no | — |
| 590 | C25 | — | 2 | 216 | no | — |
| 591 | C25 | — | 2 | 108 | no | — |
| 592 | C25 | — | 2 | 54 | no | — |
| 593 | C25 | — | 2 | 54 | no | — |
| 594 | C25 | — | 2 | 108 | no | — |
| 595 | C25 | — | 2 | 864 | no | — |
| 596 | C25 | — | 2 | 432 | no | — |
| 597 | C25 | — | 2 | 432 | no | — |
| 598 | C25 | — | 2 | 3456 | no | — |
| 599 | C25 | — | 2 | 1728 | no | — |
| 600 | C25 | — | 2 | 1152 | no | — |
| 601 | C25 | — | 2 | 2304 | no | — |
| 602 | C25 | — | 2 | 54 | no | — |
| 603 | C25 | — | 2 | 54 | no | — |
| 604 | C25 | — | 2 | 108 | no | — |
| 605 | C25 | — | 2 | 288 | no | — |
| 606 | C25 | — | 4 | 6 | no | — |
| 607 | C25 | — | 4 | 36 | no | — |
| 608 | C25 | — | 4 | 6 | no | — |
| 609 | C25 | — | 4 | 432 | no | — |
| 610 | C25 | — | 4 | 108 | no | — |
| 611 | C25 | — | 4 | 108 | no | — |
| 612 | C25 | — | 4 | 54 | no | — |
| 613 | C25 | — | 4 | 576 | no | — |
| 614 | C25 | — | 4 | 108 | no | — |
| 615 | C25 | — | 4 | 216 | no | — |
| 616 | C25 | — | 4 | 288 | no | — |
| 617 | C25 | — | 4 | 54 | no | — |
| 618 | C25 | — | 4 | 288 | no | — |
| 619 | C25 | — | 4 | 576 | no | — |
| 620 | C25 | — | 4 | 864 | no | — |
| 621 | C25 | — | 4 | 36 | no | — |
| 622 | C25 | — | 4 | 36 | no | — |
| 623 | C25 | — | 4 | 864 | no | — |
| 624 | C25 | — | 4 | 216 | no | — |
| 625 | C25 | — | 4 | 864 | no | — |
| 626 | C25 | — | 4 | 864 | no | — |
| 627 | C25 | — | 4 | 1728 | no | — |
| 628 | C25 | — | 8 | 864 | no | — |
| 629 | C25 | — | 8 | 864 | no | — |
| 630 | C25 | — | 8 | 288 | no | — |
| 631 | C25 | — | 8 | 864 | no | — |
| 632 | C25 | — | 8 | 576 | no | — |
| 633 | C25 | — | 8 | 576 | no | — |
| 634 | C25 | — | 8 | 1152 | no | — |
| 635 | C25 | — | 8 | 576 | no | — |
| 636 | C25 | — | 8 | 1728 | no | — |
| 637 | C25 | — | 8 | 3456 | no | — |
| 638 | C25 | — | 8 | 9216 | no | — |
| 639 | C25 | — | 8 | 1728 | no | — |
| 640 | C25 | — | 8 | 1728 | no | — |
| 641 | C25 | — | 8 | 9216 | no | — |
| 642 | C25 | — | 8 | 12288 | no | — |
| 643 | C25 | — | 8 | 12288 | no | — |
| 644 | C25 | C22×C22⋊C4 | 1 | 1152 | yes | complemented |
| 645 | C25 | C24×C4 | 1 | 4 | yes | — |
| 646 | C25 | C24×C4 | 1 | 108 | yes | — |
| 647 | C25 | C24×C4 | 1 | 108 | yes | — |
| 648 | C25 | C24×C4 | 1 | 144 | yes | — |
| 649 | C25 | C24×C4 | 1 | 216 | yes | — |
| 650 | C25 | C24×C4 | 1 | 24 | yes | — |
| 651 | C25 | C23×D4 | 1 | 216 | yes | — |
| 652 | C25 | C23×D4 | 1 | 432 | yes | — |
| 653 | C25 | C23×D4 | 1 | 144 | yes | — |
| 654 | C25 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 655 | C25 | #585 | 1 | 4 | yes | — |
| 656 | C25 | C26 | 1 | 27 | yes | — |
| 657 | C25 | C26 | 1 | 9 | yes | — |
| 658 | C25 | C26 | 1 | 3 | yes | — |
| 659 | H(5,𝔽2) | — | 2 | 24576 | no | — |
| 660 | H(5,𝔽2) | — | 2 | 110592 | no | — |
| 661 | H(5,𝔽2) | — | 2 | 221184 | no | — |
| 662 | H(5,𝔽2) | — | 2 | 73728 | no | — |
| 663 | H(5,𝔽2) | — | 2 | 36864 | no | — |
| 664 | H(5,𝔽2) | — | 2 | 55296 | no | — |
| 665 | H(5,𝔽2) | #379 | 1 | 4096 | yes | direct product factor |
| 666 | C2×#41 | — | 2 | 36864 | no | — |
| 667 | C2×#41 | — | 2 | 110592 | no | — |
| 668 | C2×#41 | — | 2 | 13824 | no | — |
| 669 | C2×#41 | — | 2 | 13824 | no | — |
| 670 | C2×#41 | — | 2 | 110592 | no | — |
| 671 | C2×#41 | — | 2 | 4608 | no | — |
| 672 | C2×#41 | — | 2 | 36864 | no | — |
| 673 | C2×#41 | — | 2 | 3456 | no | — |
| 674 | C2×#41 | — | 2 | 1152 | no | — |
| 675 | C2×#41 | — | 2 | 2304 | no | — |
| 676 | C2×#41 | — | 2 | 3456 | no | — |
| 677 | C2×#41 | — | 2 | 6912 | no | — |
| 678 | C2×#41 | — | 2 | 3456 | no | — |
| 679 | C2×#41 | — | 2 | 6912 | no | — |
| 680 | C2×#41 | — | 2 | 3456 | no | — |
| 681 | C2×#41 | — | 2 | 3456 | no | — |
| 682 | C2×#41 | — | 2 | 3456 | no | — |
| 683 | C2×#41 | — | 2 | 3456 | no | — |
| 684 | C2×#41 | — | 2 | 6912 | no | — |
| 685 | C2×#41 | C22×C22⋊C4 | 1 | 1152 | yes | — |
| 686 | C2×#41 | C22×C22⋊C4 | 1 | 1152 | yes | complemented |
| 687 | C2×#41 | C22×C22⋊C4 | 1 | 3456 | yes | complemented |
| 688 | C2×#41 | C22×C22⋊C4 | 1 | 3456 | yes | complemented |
| 689 | C2×#41 | C2×#120 | 1 | 1536 | yes | — |
| 690 | C22×Q8 | — | 2 | 4096 | no | — |
| 691 | C22×Q8 | — | 2 | 2304 | no | — |
| 692 | C22×Q8 | — | 2 | 1152 | no | — |
| 693 | C22×Q8 | — | 2 | 384 | no | — |
| 694 | C22×Q8 | — | 2 | 768 | no | — |
| 695 | C22×Q8 | — | 2 | 144 | no | — |
| 696 | C22×Q8 | — | 2 | 144 | no | — |
| 697 | C22×Q8 | — | 2 | 576 | no | — |
| 698 | C22×Q8 | C22×C22⋊C4 | 1 | 384 | yes | complemented |
| 699 | C22×Q8 | C24×C4 | 1 | 48 | yes | — |
| 700 | C22×Q8 | C24×C4 | 1 | 72 | yes | — |
| 701 | C22×Q8 | C24×C4 | 1 | 8 | yes | — |
| 702 | C22×Q8 | C23×D4 | 1 | 144 | yes | — |
| 703 | C22×Q8 | C23×D4 | 1 | 48 | yes | — |
| 704 | C22×D4 | — | 2 | 13824 | no | — |
| 705 | C22×D4 | — | 2 | 36864 | no | — |
| 706 | C22×D4 | — | 2 | 6912 | no | — |
| 707 | C22×D4 | — | 2 | 110592 | no | — |
| 708 | C22×D4 | — | 2 | 221184 | no | — |
| 709 | C22×D4 | — | 2 | 27648 | no | — |
| 710 | C22×D4 | — | 2 | 6912 | no | — |
| 711 | C22×D4 | — | 2 | 13824 | no | — |
| 712 | C22×D4 | — | 2 | 55296 | no | — |
| 713 | C22×D4 | — | 2 | 864 | no | — |
| 714 | C22×D4 | — | 2 | 864 | no | — |
| 715 | C22×D4 | — | 2 | 3456 | no | — |
| 716 | C22×D4 | — | 2 | 6912 | no | — |
| 717 | C22×D4 | — | 2 | 3456 | no | — |
| 718 | C22×D4 | — | 2 | 3456 | no | — |
| 719 | C22×D4 | — | 2 | 6912 | no | — |
| 720 | C22×D4 | — | 2 | 6912 | no | — |
| 721 | C22×D4 | — | 2 | 3456 | no | — |
| 722 | C22×D4 | — | 2 | 3456 | no | — |
| 723 | C22×D4 | — | 2 | 13824 | no | — |
| 724 | C22×D4 | — | 2 | 6912 | no | — |
| 725 | C22×D4 | — | 2 | 6912 | no | — |
| 726 | C22×D4 | — | 2 | 6912 | no | — |
| 727 | C22×D4 | — | 2 | 13824 | no | — |
| 728 | C22×D4 | — | 2 | 55296 | no | — |
| 729 | C22×D4 | — | 2 | 432 | no | — |
| 730 | C22×D4 | — | 2 | 432 | no | — |
| 731 | C22×D4 | — | 2 | 1728 | no | — |
| 732 | C22×D4 | — | 2 | 1728 | no | — |
| 733 | C22×D4 | — | 2 | 3456 | no | — |
| 734 | C22×D4 | — | 2 | 1728 | no | — |
| 735 | C22×D4 | — | 2 | 3456 | no | — |
| 736 | C22×D4 | C22×C22⋊C4 | 1 | 1728 | yes | — |
| 737 | C22×D4 | C22×C22⋊C4 | 1 | 3456 | yes | complemented |
| 738 | C22×D4 | C22×C22⋊C4 | 1 | 3456 | yes | complemented |
| 739 | C22×D4 | C22×C22⋊C4 | 1 | 6912 | yes | complemented |
| 740 | C22×D4 | C22×C22⋊C4 | 1 | 1728 | yes | complemented |
| 741 | C22×D4 | C2×#120 | 1 | 2304 | yes | — |
| 742 | C22×D4 | C24×C4 | 1 | 432 | yes | — |
| 743 | C22×D4 | C24×C4 | 1 | 432 | yes | — |
| 744 | C22×D4 | C24×C4 | 1 | 216 | yes | — |
| 745 | C22×D4 | C24×C4 | 1 | 72 | yes | — |
| 746 | C22×D4 | C23×D4 | 1 | 864 | yes | — |
| 747 | C22×D4 | C23×D4 | 1 | 432 | yes | — |
| 748 | C22×D4 | C23×D4 | 1 | 432 | yes | — |
| 749 | C23×C4 | — | 2 | 768 | no | — |
| 750 | C23×C4 | — | 2 | 3456 | no | — |
| 751 | C23×C4 | — | 2 | 18432 | no | — |
| 752 | C23×C4 | — | 2 | 6912 | no | — |
| 753 | C23×C4 | — | 2 | 72 | no | — |
| 754 | C23×C4 | — | 2 | 216 | no | — |
| 755 | C23×C4 | — | 2 | 216 | no | — |
| 756 | C23×C4 | — | 2 | 864 | no | — |
| 757 | C23×C4 | — | 2 | 144 | no | — |
| 758 | C23×C4 | — | 2 | 144 | no | — |
| 759 | C23×C4 | — | 2 | 432 | no | — |
| 760 | C23×C4 | — | 2 | 432 | no | — |
| 761 | C23×C4 | — | 2 | 576 | no | — |
| 762 | C23×C4 | — | 2 | 1728 | no | — |
| 763 | C23×C4 | — | 2 | 1728 | no | — |
| 764 | C23×C4 | — | 2 | 3456 | no | — |
| 765 | C23×C4 | — | 2 | 1728 | no | — |
| 766 | C23×C4 | — | 2 | 3456 | no | — |
| 767 | C23×C4 | — | 2 | 216 | no | — |
| 768 | C23×C4 | — | 2 | 216 | no | — |
| 769 | C23×C4 | — | 2 | 432 | no | — |
| 770 | C23×C4 | — | 2 | 72 | no | — |
| 771 | C23×C4 | — | 4 | 108 | no | — |
| 772 | C23×C4 | — | 4 | 72 | no | — |
| 773 | C23×C4 | — | 4 | 36 | no | — |
| 774 | C23×C4 | — | 4 | 108 | no | — |
| 775 | C23×C4 | — | 4 | 216 | no | — |
| 776 | C23×C4 | — | 4 | 384 | no | — |
| 777 | C23×C4 | — | 8 | 576 | no | — |
| 778 | C23×C4 | — | 16 | 288 | no | — |
| 779 | C23×C4 | C22×C22⋊C4 | 1 | 1728 | yes | complemented |
| 780 | C23×C4 | C24×C4 | 1 | 72 | yes | — |
| 781 | C23×C4 | C24×C4 | 1 | 216 | yes | — |
| 782 | C23×C4 | C24×C4 | 1 | 72 | yes | — |
| 783 | C23×C4 | C24×C4 | 1 | 108 | yes | — |
| 784 | C23×C4 | C24×C4 | 1 | 216 | yes | — |
| 785 | C23×C4 | C24×C4 | 1 | 36 | yes | — |
| 786 | C23×C4 | C23×D4 | 1 | 144 | yes | — |
| 787 | C23×C4 | C23×D4 | 1 | 216 | yes | — |
| 788 | C23×C4 | C23×D4 | 1 | 432 | yes | — |
| 789 | C23×C4 | C23×D4 | 1 | 216 | yes | — |
| 790 | C23×C4 | C26 | 1 | 24 | yes | — |
| 791 | C23×C4 | C26 | 1 | 36 | yes | — |
| 792 | C23×C4 | C26 | 1 | 4 | yes | — |
| 793 | C23×C4 | C26 | 1 | 18 | yes | — |
| 794 | C23×C4 | C26 | 1 | 6 | yes | — |
| 795 | C4×Q8 | — | 4 | 128 | no | — |
| 796 | C4×Q8 | — | 4 | 384 | no | — |
| 797 | C4×D4 | — | 4 | 1152 | no | — |
| 798 | C4×D4 | — | 4 | 2304 | no | — |
| 799 | C4×D4 | — | 4 | 1152 | no | — |
| 800 | #117 | — | 4 | 1152 | no | — |
| 801 | C2×C4⋊C4 | — | 2 | 432 | no | — |
| 802 | C2×C4⋊C4 | — | 2 | 144 | no | — |
| 803 | C2×C4⋊C4 | — | 4 | 576 | no | — |
| 804 | C2×C22⋊C4 | — | 2 | 12 | no | — |
| 805 | C2×C22⋊C4 | — | 2 | 12 | no | — |
| 806 | C2×C22⋊C4 | — | 2 | 108 | no | — |
| 807 | C2×C22⋊C4 | — | 2 | 216 | no | — |
| 808 | C2×C22⋊C4 | — | 2 | 72 | no | — |
| 809 | C2×C22⋊C4 | — | 2 | 864 | no | — |
| 810 | C2×C22⋊C4 | — | 2 | 108 | no | — |
| 811 | C2×C22⋊C4 | — | 2 | 72 | no | — |
| 812 | C2×C22⋊C4 | — | 2 | 108 | no | — |
| 813 | C2×C22⋊C4 | — | 2 | 72 | no | — |
| 814 | C2×C22⋊C4 | — | 2 | 216 | no | — |
| 815 | C2×C22⋊C4 | — | 2 | 432 | no | — |
| 816 | C2×C22⋊C4 | — | 2 | 864 | no | — |
| 817 | C2×C22⋊C4 | — | 2 | 216 | no | — |
| 818 | C2×C22⋊C4 | — | 4 | 864 | no | — |
| 819 | C2×C22⋊C4 | — | 4 | 108 | no | — |
| 820 | C2×C22⋊C4 | — | 4 | 1152 | no | — |
| 821 | C2×C22⋊C4 | — | 4 | 216 | no | — |
| 822 | C2×C22⋊C4 | — | 4 | 216 | no | — |
| 823 | C2×C22⋊C4 | — | 4 | 108 | no | — |
| 824 | C2×C22⋊C4 | — | 4 | 108 | no | — |
| 825 | C2×C22⋊C4 | — | 4 | 864 | no | — |
| 826 | C2×C22⋊C4 | — | 8 | 1728 | no | — |
| 827 | C2×C22⋊C4 | — | 8 | 432 | no | — |
| 828 | C2×C22⋊C4 | — | 8 | 864 | no | — |
| 829 | C2×C22⋊C4 | — | 16 | 864 | no | — |
| 830 | C2×C22⋊C4 | C2×H(5,𝔽2) | 1 | 24 | yes | complemented |
| 831 | C2×C42 | — | 2 | 432 | no | — |
| 832 | C2×C42 | — | 2 | 144 | no | — |
| 833 | C2×C42 | — | 4 | 576 | no | — |
| 834 | #95 | — | 2 | 144 | no | — |
| 835 | #95 | — | 2 | 432 | no | — |
| 836 | #95 | — | 2 | 432 | no | — |
| 837 | #95 | — | 2 | 144 | no | — |
| 838 | C24 | — | 2 | 32 | no | — |
| 839 | C24 | — | 2 | 96 | no | — |
| 840 | C24 | — | 2 | 48 | no | — |
| 841 | C24 | — | 2 | 48 | no | — |
| 842 | C24 | — | 2 | 12 | no | — |
| 843 | C24 | — | 2 | 9 | no | — |
| 844 | C24 | — | 2 | 9 | no | — |
| 845 | C24 | — | 2 | 54 | no | — |
| 846 | C24 | — | 2 | 12 | no | — |
| 847 | C24 | — | 2 | 24 | no | — |
| 848 | C24 | — | 2 | 24 | no | — |
| 849 | C24 | — | 2 | 2304 | no | — |
| 850 | C24 | — | 2 | 864 | no | — |
| 851 | C24 | — | 2 | 13824 | no | — |
| 852 | C24 | — | 2 | 1152 | no | — |
| 853 | C24 | — | 2 | 432 | no | — |
| 854 | C24 | — | 2 | 432 | no | — |
| 855 | C24 | — | 2 | 108 | no | — |
| 856 | C24 | — | 2 | 27 | no | — |
| 857 | C24 | — | 2 | 27 | no | — |
| 858 | C24 | — | 2 | 54 | no | — |
| 859 | C24 | — | 2 | 108 | no | — |
| 860 | C24 | — | 2 | 432 | no | — |
| 861 | C24 | — | 2 | 432 | no | — |
| 862 | C24 | — | 2 | 216 | no | — |
| 863 | C24 | — | 2 | 216 | no | — |
| 864 | C24 | — | 2 | 216 | no | — |
| 865 | C24 | — | 2 | 864 | no | — |
| 866 | C24 | — | 2 | 864 | no | — |
| 867 | C24 | — | 2 | 864 | no | — |
| 868 | C24 | — | 2 | 1728 | no | — |
| 869 | C24 | — | 2 | 4608 | no | — |
| 870 | C24 | — | 2 | 216 | no | — |
| 871 | C24 | — | 2 | 216 | no | — |
| 872 | C24 | — | 4 | 144 | no | — |
| 873 | C24 | — | 4 | 288 | no | — |
| 874 | C24 | — | 4 | 24 | no | — |
| 875 | C24 | — | 4 | 216 | no | — |
| 876 | C24 | — | 4 | 216 | no | — |
| 877 | C24 | — | 4 | 432 | no | — |
| 878 | C24 | — | 4 | 72 | no | — |
| 879 | C24 | — | 4 | 144 | no | — |
| 880 | C24 | — | 4 | 432 | no | — |
| 881 | C24 | — | 4 | 864 | no | — |
| 882 | C24 | — | 4 | 216 | no | — |
| 883 | C24 | — | 4 | 2304 | no | — |
| 884 | C24 | — | 4 | 216 | no | — |
| 885 | C24 | — | 4 | 432 | no | — |
| 886 | C24 | — | 4 | 432 | no | — |
| 887 | C24 | — | 4 | 144 | no | — |
| 888 | C24 | — | 4 | 432 | no | — |
| 889 | C24 | — | 4 | 3456 | no | — |
| 890 | C24 | — | 4 | 432 | no | — |
| 891 | C24 | — | 4 | 432 | no | — |
| 892 | C24 | — | 4 | 432 | no | — |
| 893 | C24 | — | 4 | 432 | no | — |
| 894 | C24 | — | 4 | 864 | no | — |
| 895 | C24 | — | 4 | 864 | no | — |
| 896 | C24 | — | 4 | 3456 | no | — |
| 897 | C24 | — | 4 | 4608 | no | — |
| 898 | C24 | — | 4 | 4608 | no | — |
| 899 | C24 | — | 4 | 432 | no | — |
| 900 | C24 | — | 4 | 216 | no | — |
| 901 | C24 | — | 4 | 216 | no | — |
| 902 | C24 | — | 8 | 432 | no | — |
| 903 | C24 | — | 8 | 432 | no | — |
| 904 | C24 | — | 8 | 864 | no | — |
| 905 | C24 | — | 8 | 3456 | no | — |
| 906 | C24 | — | 8 | 432 | no | — |
| 907 | C24 | — | 8 | 432 | no | — |
| 908 | C24 | — | 8 | 864 | no | — |
| 909 | C24 | — | 8 | 1152 | no | — |
| 910 | C24 | — | 8 | 4608 | no | — |
| 911 | C24 | — | 8 | 2304 | no | — |
| 912 | C24 | — | 8 | 2304 | no | — |
| 913 | C24 | — | 8 | 4608 | no | — |
| 914 | C24 | — | 8 | 6912 | no | — |
| 915 | C24 | — | 8 | 6912 | no | — |
| 916 | C24 | — | 8 | 3456 | no | — |
| 917 | C24 | — | 8 | 13824 | no | — |
| 918 | C24 | — | 8 | 13824 | no | — |
| 919 | C24 | — | 8 | 49152 | no | — |
| 920 | C24 | C23×C22⋊C4 | 1 | 432 | yes | — |
| 921 | C24 | C23×C22⋊C4 | 1 | 864 | yes | — |
| 922 | C24 | C23×C22⋊C4 | 1 | 288 | yes | — |
| 923 | C24 | C4×H(5,𝔽2) | 1 | 16 | yes | complemented |
| 924 | C24 | C22×#120 | 1 | 384 | yes | — |
| 925 | C24 | C25×C4 | 1 | 54 | yes | — |
| 926 | C24 | C25×C4 | 1 | 18 | yes | — |
| 927 | C24 | C25×C4 | 1 | 6 | yes | — |
| 928 | C24 | C24×D4 | 1 | 108 | yes | — |
| 929 | C24 | C24×D4 | 1 | 12 | yes | — |
| 930 | C24 | C24×D4 | 1 | 108 | yes | — |
| 931 | C24 | C22×H(5,𝔽2) | 1 | 6 | yes | — |
| 932 | C24 | C2×#585 | 1 | 6 | yes | — |
| 933 | C24 | H(7,𝔽2) | 1 | 12 | yes | — |
| 934 | C24 | C27 | 1 | 1 | yes | characteristic |
| 935 | #41 | — | 2 | 27648 | no | — |
| 936 | #41 | — | 2 | 27648 | no | — |
| 937 | #41 | — | 2 | 9216 | no | — |
| 938 | #41 | — | 2 | 4608 | no | — |
| 939 | #41 | — | 2 | 13824 | no | — |
| 940 | #41 | — | 2 | 13824 | no | — |
| 941 | #41 | C2×#379 | 1 | 3072 | yes | complemented |
| 942 | C2×Q8 | — | 2 | 4608 | no | — |
| 943 | C2×Q8 | — | 2 | 384 | no | — |
| 944 | C2×Q8 | — | 2 | 1536 | no | — |
| 945 | C2×Q8 | — | 2 | 288 | no | — |
| 946 | C2×Q8 | — | 2 | 288 | no | — |
| 947 | C2×Q8 | — | 2 | 576 | no | — |
| 948 | C2×Q8 | C23×C22⋊C4 | 1 | 288 | yes | — |
| 949 | C2×Q8 | C23×C22⋊C4 | 1 | 96 | yes | — |
| 950 | C2×Q8 | C22×#120 | 1 | 128 | yes | — |
| 951 | C2×D4 | — | 2 | 27648 | no | — |
| 952 | C2×D4 | — | 2 | 3456 | no | — |
| 953 | C2×D4 | — | 2 | 13824 | no | — |
| 954 | C2×D4 | — | 2 | 55296 | no | — |
| 955 | C2×D4 | — | 2 | 13824 | no | — |
| 956 | C2×D4 | — | 2 | 27648 | no | — |
| 957 | C2×D4 | — | 2 | 1728 | no | — |
| 958 | C2×D4 | — | 2 | 1728 | no | — |
| 959 | C2×D4 | — | 2 | 3456 | no | — |
| 960 | C2×D4 | — | 2 | 13824 | no | — |
| 961 | C2×D4 | — | 2 | 13824 | no | — |
| 962 | C2×D4 | — | 2 | 27648 | no | — |
| 963 | C2×D4 | — | 2 | 864 | no | — |
| 964 | C2×D4 | — | 2 | 864 | no | — |
| 965 | C2×D4 | — | 2 | 1728 | no | — |
| 966 | C2×D4 | — | 2 | 6912 | no | — |
| 967 | C2×D4 | C2×#379 | 1 | 4608 | yes | complemented |
| 968 | C2×D4 | C23×C22⋊C4 | 1 | 1728 | yes | — |
| 969 | C2×D4 | C23×C22⋊C4 | 1 | 864 | yes | — |
| 970 | C2×D4 | C23×C22⋊C4 | 1 | 864 | yes | — |
| 971 | C2×D4 | C22×#120 | 1 | 1152 | yes | — |
| 972 | C22×C4 | — | 2 | 576 | no | — |
| 973 | C22×C4 | — | 2 | 1536 | no | — |
| 974 | C22×C4 | — | 2 | 6912 | no | — |
| 975 | C22×C4 | — | 2 | 13824 | no | — |
| 976 | C22×C4 | — | 2 | 1728 | no | — |
| 977 | C22×C4 | — | 2 | 72 | no | — |
| 978 | C22×C4 | — | 2 | 144 | no | — |
| 979 | C22×C4 | — | 2 | 432 | no | — |
| 980 | C22×C4 | — | 2 | 432 | no | — |
| 981 | C22×C4 | — | 2 | 864 | no | — |
| 982 | C22×C4 | — | 2 | 288 | no | — |
| 983 | C22×C4 | — | 2 | 288 | no | — |
| 984 | C22×C4 | — | 2 | 864 | no | — |
| 985 | C22×C4 | — | 2 | 864 | no | — |
| 986 | C22×C4 | — | 2 | 576 | no | — |
| 987 | C22×C4 | — | 2 | 1728 | no | — |
| 988 | C22×C4 | — | 2 | 6912 | no | — |
| 989 | C22×C4 | — | 2 | 12 | no | — |
| 990 | C22×C4 | — | 2 | 12 | no | — |
| 991 | C22×C4 | — | 2 | 72 | no | — |
| 992 | C22×C4 | — | 2 | 108 | no | — |
| 993 | C22×C4 | — | 2 | 36 | no | — |
| 994 | C22×C4 | — | 2 | 24 | no | — |
| 995 | C22×C4 | — | 2 | 72 | no | — |
| 996 | C22×C4 | — | 2 | 108 | no | — |
| 997 | C22×C4 | — | 4 | 432 | no | — |
| 998 | C22×C4 | — | 4 | 144 | no | — |
| 999 | C22×C4 | — | 4 | 144 | no | — |
| 1000 | C22×C4 | — | 4 | 288 | no | — |
| 1001 | C22×C4 | — | 8 | 216 | no | — |
| 1002 | C22×C4 | — | 8 | 432 | no | — |
| 1003 | C22×C4 | — | 8 | 216 | no | — |
| 1004 | C22×C4 | — | 8 | 216 | no | — |
| 1005 | C22×C4 | — | 8 | 432 | no | — |
| 1006 | C22×C4 | — | 16 | 768 | no | — |
| 1007 | C22×C4 | C23×C22⋊C4 | 1 | 288 | yes | — |
| 1008 | C22×C4 | C23×C22⋊C4 | 1 | 432 | yes | — |
| 1009 | C22×C4 | C23×C22⋊C4 | 1 | 864 | yes | — |
| 1010 | C22×C4 | C23×C22⋊C4 | 1 | 432 | yes | — |
| 1011 | C22×C4 | C22×#120 | 1 | 576 | yes | — |
| 1012 | C22×C4 | C25×C4 | 1 | 36 | yes | — |
| 1013 | C22×C4 | C25×C4 | 1 | 12 | yes | — |
| 1014 | C22×C4 | C24×D4 | 1 | 72 | yes | — |
| 1015 | C22×C4 | C24×D4 | 1 | 72 | yes | — |
| 1016 | C22×C4 | C22×H(5,𝔽2) | 1 | 8 | yes | complemented |
| 1017 | C4⋊C4 | — | 4 | 288 | no | — |
| 1018 | C4⋊C4 | — | 4 | 96 | no | — |
| 1019 | C22⋊C4 | — | 2 | 48 | no | — |
| 1020 | C22⋊C4 | — | 4 | 432 | no | — |
| 1021 | C22⋊C4 | — | 4 | 216 | no | — |
| 1022 | C22⋊C4 | — | 4 | 144 | no | — |
| 1023 | C22⋊C4 | — | 4 | 576 | no | — |
| 1024 | C22⋊C4 | — | 8 | 216 | no | — |
| 1025 | C22⋊C4 | — | 8 | 432 | no | — |
| 1026 | C22⋊C4 | — | 8 | 864 | no | — |
| 1027 | C42 | — | 4 | 96 | no | — |
| 1028 | C42 | — | 4 | 288 | no | — |
| 1029 | C23 | — | 2 | 32 | no | — |
| 1030 | C23 | — | 2 | 128 | no | — |
| 1031 | C23 | — | 2 | 128 | no | — |
| 1032 | C23 | — | 2 | 96 | no | — |
| 1033 | C23 | — | 2 | 12 | no | — |
| 1034 | C23 | — | 2 | 18 | no | — |
| 1035 | C23 | — | 2 | 12 | no | — |
| 1036 | C23 | — | 2 | 54 | no | — |
| 1037 | C23 | — | 2 | 24 | no | — |
| 1038 | C23 | — | 2 | 96 | no | — |
| 1039 | C23 | — | 2 | 108 | no | — |
| 1040 | C23 | — | 2 | 24 | no | — |
| 1041 | C23 | — | 2 | 108 | no | — |
| 1042 | C23 | — | 2 | 24 | no | — |
| 1043 | C23 | — | 2 | 216 | no | — |
| 1044 | C23 | — | 2 | 24 | no | — |
| 1045 | C23 | — | 2 | 48 | no | — |
| 1046 | C23 | — | 2 | 864 | no | — |
| 1047 | C23 | — | 2 | 1152 | no | — |
| 1048 | C23 | — | 2 | 864 | no | — |
| 1049 | C23 | — | 2 | 108 | no | — |
| 1050 | C23 | — | 2 | 54 | no | — |
| 1051 | C23 | — | 2 | 54 | no | — |
| 1052 | C23 | — | 2 | 108 | no | — |
| 1053 | C23 | — | 2 | 216 | no | — |
| 1054 | C23 | — | 2 | 864 | no | — |
| 1055 | C23 | — | 2 | 108 | no | — |
| 1056 | C23 | — | 2 | 108 | no | — |
| 1057 | C23 | — | 2 | 216 | no | — |
| 1058 | C23 | — | 2 | 1728 | no | — |
| 1059 | C23 | — | 4 | 384 | no | — |
| 1060 | C23 | — | 4 | 432 | no | — |
| 1061 | C23 | — | 4 | 288 | no | — |
| 1062 | C23 | — | 4 | 288 | no | — |
| 1063 | C23 | — | 4 | 384 | no | — |
| 1064 | C23 | — | 4 | 864 | no | — |
| 1065 | C23 | — | 4 | 864 | no | — |
| 1066 | C23 | — | 4 | 1728 | no | — |
| 1067 | C23 | — | 4 | 1728 | no | — |
| 1068 | C23 | — | 4 | 864 | no | — |
| 1069 | C23 | — | 4 | 864 | no | — |
| 1070 | C23 | — | 4 | 864 | no | — |
| 1071 | C23 | — | 4 | 864 | no | — |
| 1072 | C23 | — | 4 | 9216 | no | — |
| 1073 | C23 | — | 4 | 1728 | no | — |
| 1074 | C23 | — | 4 | 1728 | no | — |
| 1075 | C23 | — | 4 | 432 | no | — |
| 1076 | C23 | — | 4 | 432 | no | — |
| 1077 | C23 | — | 4 | 108 | no | — |
| 1078 | C23 | — | 4 | 108 | no | — |
| 1079 | C23 | — | 4 | 216 | no | — |
| 1080 | C23 | — | 8 | 1728 | no | — |
| 1081 | C23 | — | 8 | 1728 | no | — |
| 1082 | C23 | — | 8 | 864 | no | — |
| 1083 | C23 | — | 8 | 864 | no | — |
| 1084 | C23 | — | 8 | 864 | no | — |
| 1085 | C23 | — | 8 | 864 | no | — |
| 1086 | C23 | — | 8 | 9216 | no | — |
| 1087 | C23 | — | 8 | 27648 | no | — |
| 1088 | C23 | — | 8 | 1152 | no | — |
| 1089 | C23 | — | 8 | 1152 | no | — |
| 1090 | C23 | C22×#379 | 1 | 384 | yes | complemented |
| 1091 | C23 | C24×C22⋊C4 | 1 | 108 | yes | — |
| 1092 | C23 | C24×C22⋊C4 | 1 | 108 | yes | — |
| 1093 | C23 | C24×C22⋊C4 | 1 | 12 | yes | — |
| 1094 | C23 | C2×C4×H(5,𝔽2) | 1 | 12 | yes | — |
| 1095 | C23 | #62652 | 1 | 12 | yes | — |
| 1096 | C23 | C23×#120 | 1 | 144 | yes | — |
| 1097 | C23 | D4×H(5,𝔽2) | 1 | 24 | yes | — |
| 1098 | C23 | #62987 | 1 | 24 | yes | — |
| 1099 | C23 | C26×C4 | 1 | 1 | yes | characteristic |
| 1100 | C23 | C25×D4 | 1 | 6 | yes | — |
| 1101 | C23 | C23×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1102 | C23 | C22×#585 | 1 | 1 | yes | characteristic |
| 1103 | C23 | C2×H(7,𝔽2) | 1 | 6 | yes | — |
| 1104 | Q8 | — | 2 | 384 | no | — |
| 1105 | Q8 | — | 2 | 576 | no | — |
| 1106 | Q8 | C22×#379 | 1 | 128 | yes | complemented |
| 1107 | D4 | — | 2 | 3456 | no | — |
| 1108 | D4 | — | 2 | 3456 | no | — |
| 1109 | D4 | — | 2 | 1728 | no | — |
| 1110 | D4 | C22×#379 | 1 | 1152 | yes | complemented |
| 1111 | C2×C4 | — | 2 | 576 | no | — |
| 1112 | C2×C4 | — | 2 | 1728 | no | — |
| 1113 | C2×C4 | — | 2 | 864 | no | — |
| 1114 | C2×C4 | — | 2 | 72 | no | — |
| 1115 | C2×C4 | — | 2 | 144 | no | — |
| 1116 | C2×C4 | — | 2 | 576 | no | — |
| 1117 | C2×C4 | — | 2 | 1728 | no | — |
| 1118 | C2×C4 | — | 2 | 24 | no | — |
| 1119 | C2×C4 | — | 4 | 4 | no | — |
| 1120 | C2×C4 | — | 4 | 12 | no | — |
| 1121 | C2×C4 | — | 4 | 24 | no | — |
| 1122 | C2×C4 | — | 4 | 36 | no | — |
| 1123 | C2×C4 | — | 4 | 108 | no | — |
| 1124 | C2×C4 | — | 4 | 72 | no | — |
| 1125 | C2×C4 | — | 4 | 72 | no | — |
| 1126 | C2×C4 | — | 4 | 108 | no | — |
| 1127 | C2×C4 | — | 8 | 288 | no | — |
| 1128 | C2×C4 | — | 16 | 144 | no | — |
| 1129 | C2×C4 | — | 16 | 288 | no | — |
| 1130 | C2×C4 | C22×#379 | 1 | 576 | yes | complemented |
| 1131 | C2×C4 | C24×C22⋊C4 | 1 | 72 | yes | — |
| 1132 | C2×C4 | C24×C22⋊C4 | 1 | 72 | yes | — |
| 1133 | C2×C4 | C23×#120 | 1 | 96 | yes | — |
| 1134 | C22 | — | 2 | 128 | no | — |
| 1135 | C22 | — | 2 | 144 | no | — |
| 1136 | C22 | — | 2 | 48 | no | — |
| 1137 | C22 | — | 2 | 144 | no | — |
| 1138 | C22 | — | 2 | 48 | no | — |
| 1139 | C22 | — | 2 | 12 | no | — |
| 1140 | C22 | — | 2 | 24 | no | — |
| 1141 | C22 | — | 2 | 108 | no | — |
| 1142 | C22 | — | 2 | 12 | no | — |
| 1143 | C22 | — | 2 | 24 | no | — |
| 1144 | C22 | — | 2 | 108 | no | — |
| 1145 | C22 | — | 2 | 108 | no | — |
| 1146 | C22 | — | 2 | 108 | no | — |
| 1147 | C22 | — | 2 | 108 | no | — |
| 1148 | C22 | — | 4 | 384 | no | — |
| 1149 | C22 | — | 4 | 1728 | no | — |
| 1150 | C22 | — | 4 | 1728 | no | — |
| 1151 | C22 | — | 4 | 216 | no | — |
| 1152 | C22 | — | 4 | 216 | no | — |
| 1153 | C22 | — | 4 | 108 | no | — |
| 1154 | C22 | — | 4 | 108 | no | — |
| 1155 | C22 | — | 8 | 1728 | no | — |
| 1156 | C22 | — | 8 | 1152 | no | — |
| 1157 | C22 | C23×#379 | 1 | 72 | yes | — |
| 1158 | C22 | C22⋊C4×H(5,𝔽2) | 1 | 24 | yes | complemented |
| 1159 | C22 | C25×C22⋊C4 | 1 | 3 | yes | — |
| 1160 | C22 | C22×C4×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1161 | C22 | C2×#62652 | 1 | 3 | yes | — |
| 1162 | C22 | C24×#120 | 1 | 4 | yes | — |
| 1163 | C22 | C2×D4×H(5,𝔽2) | 1 | 6 | yes | — |
| 1164 | C22 | C2×#62987 | 1 | 6 | yes | — |
| 1165 | C22 | #10586066 | 1 | 12 | yes | — |
| 1166 | C4 | — | 2 | 72 | no | — |
| 1167 | C4 | — | 4 | 8 | no | — |
| 1168 | C4 | — | 8 | 36 | no | — |
| 1169 | C4 | — | 8 | 24 | no | — |
| 1170 | C4 | C23×#379 | 1 | 48 | yes | — |
| 1171 | C2 | — | 2 | 24 | no | — |
| 1172 | C2 | — | 2 | 72 | no | — |
| 1173 | C2 | — | 4 | 108 | no | — |
| 1174 | C2 | #120×H(5,𝔽2) | 1 | 4 | yes | — |
| 1175 | C2 | C24×#379 | 1 | 1 | yes | characteristic |
| 1176 | C2 | #72262380 | 1 | 3 | yes | — |
| 1177 | C2 | C2×C22⋊C4×H(5,𝔽2) | 1 | 3 | yes | — |
| 1178 | C2 | #72337210 | 1 | 4 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, socle, cosocle | C24 | C27 |
| commutator | C23 | C26×C4 |
| prime radical | C25×H(5,𝔽2) | C2 |
| LCS | G ▷ C23 ▷ C1 | |
| UCS | C1 ◁ C24 ◁ G | |
| LECS | G ▷ C24 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72337324 | C2 | semidirect |
| 2. #72337323 | C2 | semidirect |
| 3. #41×#379 | C2 | semidirect |
| 4. C2×C22⋊C4×H(5,𝔽2) | C2 | semidirect |
| 5. C2×D4×#379 | C2 | semidirect |
| 7. #72240153 | C2 | semidirect |
| 8. #72235090 | C2 | semidirect |
| 10. C24×H(5,𝔽2) | C4 | semidirect |
| 16. C22×C4×H(5,𝔽2) | C22 | semidirect |
| 18. C2×#34258 | C22 | semidirect |
| 19. C2×#34256 | C22 | semidirect |
| 20. C2×#34175 | C22 | semidirect |
| 21. C2×#34171 | C22 | semidirect |
| 22. C2×C22⋊C4×#41 | C22 | semidirect |
| 23. C22×D4×C22⋊C4 | C22 | semidirect |
| 24. C23×#379 | C22 | semidirect |
| 25. #607558 | C22 | semidirect |
| 26. C2×#14680 | C22 | semidirect |
| 27. C2×#14679 | C22 | semidirect |
| 28. Q8×#379 | C22 | semidirect |
| 29. Q8×#379 | C22 | semidirect |
| 30. #520465 | C22 | semidirect |
| 31. #520465 | C22 | semidirect |
| 32. #520464 | C22 | semidirect |
| 33. #520464 | C22 | semidirect |
| 34. D4×#379 | C22 | semidirect |
| 35. D4×#379 | C22 | semidirect |
| 36. D4×#379 | C22 | semidirect |
| 37. D4×#379 | C22 | semidirect |
| 38. D4×#379 | C22 | semidirect |
| 39. #517617 | C22 | semidirect |
| 40. #517592 | C22 | semidirect |
| 41. #517415 | C22 | semidirect |
| 42. #517413 | C22 | semidirect |
| 43. #517411 | C22 | semidirect |
| 44. #516324 | C22 | semidirect |
| 45. #516323 | C22 | semidirect |
| 46. #514204 | C22 | semidirect |
| 47. C2×#13902 | C22 | semidirect |
| 48. C2×#13867 | C22 | semidirect |
| 49. C2×C4×#379 | C22 | semidirect |
| 59. C23×H(5,𝔽2) | C2×C4 | semidirect |
| 60. C23×H(5,𝔽2) | C2×C4 | semidirect |
| 70. C24×#41 | C2×C4 | semidirect |
| 77. C25×D4 | C2×C4 | semidirect |
| 85. C22×#520 | C23 | semidirect |
| 86. C22×#518 | C23 | semidirect |
| 87. C22×C4×#41 | C23 | semidirect |
| 88. C23×C4×D4 | C23 | semidirect |
| 89. C24×C22⋊C4 | C23 | semidirect |
| 95. C2×#2341 | C23 | semidirect |
| 96. C2×#2341 | C23 | semidirect |
| 97. C2×Q8×C22⋊C4 | C23 | semidirect |
| 98. C2×Q8×C22⋊C4 | C23 | semidirect |
| 99. C2×#2339 | C23 | semidirect |
| 100. C2×#2339 | C23 | semidirect |
| 102. C2×D4×C22⋊C4 | C23 | semidirect |
| 103. C2×D4×C22⋊C4 | C23 | semidirect |
| 104. C2×D4×C22⋊C4 | C23 | semidirect |
| 105. C2×D4×C22⋊C4 | C23 | semidirect |
| 106. C2×D4×C22⋊C4 | C23 | semidirect |
| 107. C2×#2311 | C23 | semidirect |
| 108. C2×#2309 | C23 | semidirect |
| 109. C2×#2308 | C23 | semidirect |
| 110. C2×#2297 | C23 | semidirect |
| 111. C22×#390 | C23 | semidirect |
| 112. C22×#386 | C23 | semidirect |
| 113. C2×#2280 | C23 | semidirect |
| 114. C22×#380 | C23 | semidirect |
| 119. C22×#379 | C23 | semidirect |
| 120. C22×#379 | C23 | semidirect |
| 121. C22×#379 | C23 | semidirect |
| 122. C22×C4×C22⋊C4 | C23 | semidirect |
| 123. #14681 | C23 | semidirect |
| 126. #14680 | C23 | semidirect |
| 127. #14680 | C23 | semidirect |
| 129. #14679 | C23 | semidirect |
| 130. #14337 | C23 | semidirect |
| 131. #14335 | C23 | semidirect |
| 132. #13956 | C23 | semidirect |
| 133. #13956 | C23 | semidirect |
| 134. #13937 | C23 | semidirect |
| 135. #13937 | C23 | semidirect |
| 136. #13922 | C23 | semidirect |
| 137. #13922 | C23 | semidirect |
| 138. #13902 | C23 | semidirect |
| 139. #13902 | C23 | semidirect |
| 140. #13902 | C23 | semidirect |
| 141. #13902 | C23 | semidirect |
| 142. #13902 | C23 | semidirect |
| 143. #13867 | C23 | semidirect |
| 144. #13867 | C23 | semidirect |
| 145. #13867 | C23 | semidirect |
| 146. #13867 | C23 | semidirect |
| 147. #13867 | C23 | semidirect |
| 148. #13851 | C23 | semidirect |
| 149. C2×#1438 | C23 | semidirect |
| 152. C4×#379 | C23 | semidirect |
| 153. C4×#379 | C23 | semidirect |
| 154. C2×C22⋊#95 | C23 | semidirect |
| 155. C2×C22⋊#95 | C23 | semidirect |
| 160. C27 | C22×C4 | semidirect |
| 181. C22×H(5,𝔽2) | C22⋊C4 | semidirect |
| 185. C22×H(5,𝔽2) | C22×C4 | semidirect |
| 186. C22×H(5,𝔽2) | C22×C4 | semidirect |
| 187. C22×H(5,𝔽2) | C22×C4 | semidirect |
| 188. C22×H(5,𝔽2) | C22×C4 | semidirect |
| 202. C23×#41 | C22×C4 | semidirect |
| 203. C23×#41 | C22×C4 | semidirect |
| 204. C23×#41 | C22×C4 | semidirect |
| 214. C24×Q8 | C22×C4 | semidirect |
| 228. C24×D4 | C22×C4 | semidirect |
| 229. C24×D4 | C22×C4 | semidirect |
| 230. C24×D4 | C22×C4 | semidirect |
| 231. C24×D4 | C22×C4 | semidirect |
| 244. C25×C4 | C22×C4 | semidirect |
| 249. C25×C4 | C24 | semidirect |
| 254. C22×C4×Q8 | C24 | semidirect |
| 255. C22×C4×Q8 | C24 | semidirect |
| 257. C22×C4×D4 | C24 | semidirect |
| 258. C22×C4×D4 | C24 | semidirect |
| 259. C22×C4×D4 | C24 | semidirect |
| 260. C22×#117 | C24 | semidirect |
| 261. C23×C4⋊C4 | C24 | semidirect |
| 268. C23×C22⋊C4 | C24 | semidirect |
| 269. C23×C22⋊C4 | C24 | semidirect |
| 270. C23×C22⋊C4 | C24 | semidirect |
| 271. C23×C42 | C24 | semidirect |
| 287. C2×#391 | C24 | semidirect |
| 288. C2×#391 | C24 | semidirect |
| 290. C2×#390 | C24 | semidirect |
| 291. C2×#390 | C24 | semidirect |
| 292. C2×#390 | C24 | semidirect |
| 294. C2×#386 | C24 | semidirect |
| 295. C2×#386 | C24 | semidirect |
| 296. C2×#386 | C24 | semidirect |
| 298. C2×#381 | C24 | semidirect |
| 302. C2×#380 | C24 | semidirect |
| 303. C2×#380 | C24 | semidirect |
| 318. C2×#379 | C24 | semidirect |
| 319. C2×#379 | C24 | semidirect |
| 320. C2×#379 | C24 | semidirect |
| 324. C2×C4×C22⋊C4 | C24 | semidirect |
| 325. C2×C4×C22⋊C4 | C24 | semidirect |
| 326. C22×#95 | C24 | semidirect |
| 327. C22×#95 | C24 | semidirect |
| 328. #1446 | C24 | semidirect |
| 329. #1446 | C24 | semidirect |
| 330. #1438 | C24 | semidirect |
| 331. #1438 | C24 | semidirect |
| 332. #1438 | C24 | semidirect |
| 337. C22⋊#95 | C24 | semidirect |
| 338. C22⋊#95 | C24 | semidirect |
| 339. C22⋊#95 | C24 | semidirect |
| 390. C2×H(5,𝔽2) | C2×C22⋊C4 | semidirect |
| 391. C2×H(5,𝔽2) | C2×C22⋊C4 | semidirect |
| 414. C22×#41 | C2×C22⋊C4 | semidirect |
| 465. C23×D4 | C2×C22⋊C4 | semidirect |
| 573. #379 | H(5,𝔽2) | direct (N × H) |
| 644. C25 | C22×C22⋊C4 | semidirect |
| 665. H(5,𝔽2) | #379 | direct (N × H) |
| 686. C2×#41 | C22×C22⋊C4 | semidirect |
| 687. C2×#41 | C22×C22⋊C4 | semidirect |
| 688. C2×#41 | C22×C22⋊C4 | semidirect |
| 698. C22×Q8 | C22×C22⋊C4 | semidirect |
| 737. C22×D4 | C22×C22⋊C4 | semidirect |
| 738. C22×D4 | C22×C22⋊C4 | semidirect |
| 739. C22×D4 | C22×C22⋊C4 | semidirect |
| 740. C22×D4 | C22×C22⋊C4 | semidirect |
| 779. C23×C4 | C22×C22⋊C4 | semidirect |
| 830. C2×C22⋊C4 | C2×H(5,𝔽2) | semidirect |
| 923. C24 | C4×H(5,𝔽2) | semidirect |
| 941. #41 | C2×#379 | semidirect |
| 967. C2×D4 | C2×#379 | semidirect |
| 1016. C22×C4 | C22×H(5,𝔽2) | semidirect |
| 1090. C23 | C22×#379 | semidirect |
| 1106. Q8 | C22×#379 | semidirect |
| 1110. D4 | C22×#379 | semidirect |
| 1130. C2×C4 | C22×#379 | semidirect |
| 1158. C22 | C22⋊C4×H(5,𝔽2) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72337324 | 2 |
| #72337323 | 2 |
| #41×#379 | 2 |
| C2×C22⋊C4×H(5,𝔽2) | 2 |
| C2×D4×#379 | 2 |
| C25×H(5,𝔽2) | 2 |
| #72240153 | 2 |
| #72235090 | 2 |