Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
3217 conjugacy classes of subgroups; only the 188 normal subgroups are shown.
This group has 3217 conjugacy classes of subgroups — too many to draw. Only its 188 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11921414 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11920443 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #11920442 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #11920440 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11920425 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | C2×#10589531 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #11919883 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11661868 | — | 3 | 1 | no | maximal |
| 9 | #10593120 | — | 2 | 3 | no | — |
| 10 | #10593120 | C22 | 1 | 1 | yes | characteristic |
| 11 | #10593120 | C22 | 1 | 3 | yes | complemented |
| 12 | C2×#63700 | — | 2 | 1 | no | — |
| 13 | C2×#63700 | C22 | 1 | 3 | yes | complemented |
| 14 | #10593101 | — | 2 | 3 | no | — |
| 15 | #10593100 | — | 2 | 1 | no | — |
| 16 | #10593098 | C22 | 1 | 3 | yes | complemented |
| 17 | C2×#63692 | C22 | 1 | 3 | yes | complemented |
| 18 | #10589939 | — | 4 | 1 | no | maximal |
| 19 | #10589533 | C22 | 1 | 3 | yes | complemented |
| 20 | #10589532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #10589531 | C22 | 1 | 3 | yes | complemented |
| 22 | #10589531 | C22 | 1 | 6 | yes | complemented |
| 23 | #10589530 | C22 | 1 | 3 | yes | complemented |
| 24 | #10589525 | C22 | 1 | 3 | yes | complemented |
| 25 | C2×#63422 | C22 | 1 | 3 | yes | complemented |
| 26 | C3×H(7,𝔽2) | D3 | 1 | 1 | yes | characteristic |
| 27 | #87298 | — | 3 | 1 | no | — |
| 28 | #87298 | — | 3 | 1 | no | — |
| 29 | #87282 | — | 3 | 1 | no | — |
| 30 | #84122 | — | 3 | 3 | no | — |
| 31 | #84122 | — | 3 | 3 | no | — |
| 32 | #84121 | — | 3 | 3 | no | — |
| 33 | #84121 | — | 3 | 3 | no | — |
| 34 | #84120 | — | 3 | 1 | no | — |
| 35 | #84120 | — | 3 | 1 | no | — |
| 36 | #84104 | — | 3 | 3 | no | — |
| 37 | #84104 | — | 3 | 3 | no | — |
| 38 | C2×#5241 | — | 3 | 3 | no | — |
| 39 | C2×#5241 | — | 3 | 3 | no | — |
| 40 | #84100 | — | 3 | 1 | no | — |
| 41 | C9×2−1+4 | — | 4 | 1 | no | — |
| 42 | #63715 | — | 4 | 1 | no | — |
| 43 | 2−1+4⋊C9 | — | 2 | 3 | no | — |
| 44 | 2−1+4⋊C9 | D4 | 1 | 3 | yes | complemented |
| 45 | 2−1+4⋊C9 | C23 | 1 | 1 | yes | characteristic |
| 46 | #63700 | — | 2 | 3 | no | — |
| 47 | #63700 | D4 | 1 | 1 | yes | characteristic, complemented |
| 48 | #63700 | C23 | 1 | 3 | yes | — |
| 49 | C2×#41⋊C9 | — | 2 | 3 | no | — |
| 50 | C2×#41⋊C9 | — | 2 | 3 | no | — |
| 51 | C2×#41⋊C9 | C23 | 1 | 3 | yes | — |
| 52 | #63692 | — | 2 | 3 | no | — |
| 53 | #63692 | C23 | 1 | 3 | yes | complemented |
| 54 | #63691 | — | 2 | 3 | no | — |
| 55 | #63690 | C23 | 1 | 1 | yes | characteristic, complemented |
| 56 | #63689 | — | 2 | 3 | no | — |
| 57 | C2×#3689 | — | 2 | 3 | no | — |
| 58 | #63513 | — | 4 | 3 | no | — |
| 59 | #63512 | — | 4 | 3 | no | — |
| 60 | #63510 | — | 4 | 1 | no | — |
| 61 | #63505 | — | 4 | 3 | no | — |
| 62 | C2×#3675 | — | 4 | 3 | no | — |
| 63 | #63422 | C23 | 1 | 1 | yes | characteristic, complemented |
| 64 | #63422 | C23 | 1 | 3 | yes | complemented |
| 65 | #60388 | — | 9 | 1 | no | Sylow |
| 66 | C3×#585 | — | 2 | 3 | no | — |
| 67 | C3×#585 | — | 3 | 1 | no | — |
| 68 | C3×#585 | — | 3 | 3 | no | — |
| 69 | C3×#585 | — | 6 | 1 | no | — |
| 70 | C3×#585 | C2×D3 | 1 | 1 | yes | characteristic |
| 71 | C3×#585 | C2×D3 | 1 | 3 | yes | — |
| 72 | C2×C3×H(5,𝔽2) | — | 2 | 1 | no | — |
| 73 | C2×C3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 74 | C2×C3×H(5,𝔽2) | — | 3 | 3 | no | — |
| 75 | C2×C3×H(5,𝔽2) | — | 6 | 3 | no | — |
| 76 | C2×C3×H(5,𝔽2) | C2×D3 | 1 | 3 | yes | — |
| 77 | C2×#1009 | — | 3 | 1 | no | — |
| 78 | #5837 | — | 6 | 1 | no | — |
| 79 | #5837 | — | 6 | 3 | no | — |
| 80 | #5837 | — | 6 | 3 | no | — |
| 81 | #5837 | — | 6 | 1 | no | — |
| 82 | #5835 | — | 6 | 3 | no | — |
| 83 | #5835 | — | 6 | 3 | no | — |
| 84 | #5835 | — | 6 | 1 | no | — |
| 85 | #5835 | — | 6 | 1 | no | — |
| 86 | #5834 | — | 6 | 2 | no | — |
| 87 | #5832 | — | 3 | 3 | no | — |
| 88 | #5830 | — | 3 | 3 | no | — |
| 89 | Dic3×#41 | — | 3 | 1 | no | — |
| 90 | #5822 | — | 3 | 3 | no | — |
| 91 | #5822 | — | 3 | 3 | no | — |
| 92 | #5822 | — | 3 | 3 | no | — |
| 93 | #5822 | — | 3 | 3 | no | — |
| 94 | C2×#949 | — | 3 | 3 | no | — |
| 95 | C2×#949 | — | 3 | 3 | no | — |
| 96 | C2×#949 | — | 3 | 3 | no | — |
| 97 | C2×#949 | — | 3 | 3 | no | — |
| 98 | #5819 | — | 3 | 1 | no | — |
| 99 | #5819 | — | 3 | 1 | no | — |
| 100 | #5805 | — | 3 | 3 | no | — |
| 101 | C2×#940 | — | 3 | 3 | no | — |
| 102 | D4×#67 | — | 6 | 6 | no | — |
| 103 | #5246 | — | 3 | 3 | no | — |
| 104 | #5246 | — | 3 | 1 | no | — |
| 105 | #5245 | — | 3 | 6 | no | — |
| 106 | #5245 | — | 3 | 3 | no | — |
| 107 | #5245 | — | 3 | 3 | no | — |
| 108 | #5242 | — | 3 | 3 | no | — |
| 109 | #5242 | — | 3 | 6 | no | — |
| 110 | #5242 | — | 3 | 3 | no | — |
| 111 | #5241 | — | 3 | 3 | no | — |
| 112 | #5241 | — | 3 | 6 | no | — |
| 113 | #5241 | — | 3 | 6 | no | — |
| 114 | #5241 | — | 3 | 6 | no | — |
| 115 | #5241 | — | 3 | 6 | no | — |
| 116 | #5241 | — | 3 | 3 | no | — |
| 117 | #5241 | — | 3 | 6 | no | — |
| 118 | #5237 | — | 3 | 3 | no | — |
| 119 | #5237 | — | 3 | 3 | no | — |
| 120 | #5236 | — | 3 | 3 | no | — |
| 121 | #5236 | — | 3 | 3 | no | — |
| 122 | #5236 | — | 3 | 3 | no | — |
| 123 | #5236 | — | 3 | 3 | no | — |
| 124 | C2×#837 | — | 3 | 3 | no | — |
| 125 | C2×#837 | — | 3 | 3 | no | — |
| 126 | C2×#837 | — | 3 | 3 | no | — |
| 127 | C2×#837 | — | 3 | 3 | no | — |
| 128 | C2×#833 | — | 3 | 3 | no | — |
| 129 | C2×#833 | — | 3 | 3 | no | — |
| 130 | C9×#41 | — | 4 | 1 | no | — |
| 131 | C9×#41 | — | 4 | 3 | no | — |
| 132 | C9×#41 | — | 8 | 3 | no | — |
| 133 | C2×Q8×C9 | — | 4 | 3 | no | — |
| 134 | C2×Q8×C9 | — | 8 | 1 | no | — |
| 135 | #3701 | — | 8 | 1 | no | — |
| 136 | D4×D9 | — | 8 | 3 | no | — |
| 137 | #3697 | — | 4 | 3 | no | — |
| 138 | C2×D36 | — | 4 | 3 | no | — |
| 139 | #41⋊C9 | — | 2 | 3 | no | — |
| 140 | #41⋊C9 | C2×D4 | 1 | 3 | yes | complemented |
| 141 | #41⋊C9 | C24 | 1 | 1 | yes | characteristic |
| 142 | C2×Q8⋊C9 | — | 2 | 1 | no | — |
| 143 | C2×Q8⋊C9 | C2×D4 | 1 | 3 | yes | complemented |
| 144 | #3689 | — | 2 | 3 | no | — |
| 145 | #3688 | — | 2 | 1 | no | — |
| 146 | #3675 | — | 4 | 3 | no | — |
| 147 | #3675 | — | 4 | 6 | no | — |
| 148 | #3674 | — | 4 | 3 | no | — |
| 149 | #3673 | — | 4 | 3 | no | — |
| 150 | #3672 | — | 4 | 1 | no | — |
| 151 | #3667 | — | 4 | 3 | no | — |
| 152 | C2×C9⋊C8 | — | 4 | 3 | no | — |
| 153 | H(7,𝔽2) | D9 | 1 | 1 | yes | characteristic, complemented |
| 154 | #3585 | — | 9 | 1 | no | — |
| 155 | #3585 | — | 9 | 1 | no | — |
| 156 | #3498 | — | 9 | 1 | no | — |
| 157 | #3021 | — | 9 | 3 | no | — |
| 158 | #3021 | — | 9 | 3 | no | — |
| 159 | #3019 | — | 9 | 3 | no | — |
| 160 | #3019 | — | 9 | 3 | no | — |
| 161 | #3018 | — | 9 | 3 | no | — |
| 162 | #3018 | — | 9 | 3 | no | — |
| 163 | C2×#453 | — | 9 | 3 | no | — |
| 164 | C2×#453 | — | 9 | 3 | no | — |
| 165 | #2901 | — | 9 | 1 | no | — |
| 166 | #2901 | — | 9 | 1 | no | — |
| 167 | #2888 | — | 9 | 1 | no | — |
| 168 | C3×2−1+4 | — | 2 | 3 | no | — |
| 169 | C3×2−1+4 | — | 3 | 1 | no | — |
| 170 | C3×2−1+4 | — | 3 | 3 | no | — |
| 171 | C3×2−1+4 | — | 3 | 3 | no | — |
| 172 | C3×2−1+4 | — | 6 | 1 | no | — |
| 173 | C3×2−1+4 | — | 6 | 3 | no | — |
| 174 | C3×2−1+4 | #67 | 1 | 3 | yes | — |
| 175 | C3×2−1+4 | S4 | 1 | 1 | yes | characteristic |
| 176 | C3×2−1+4 | C22×D3 | 1 | 1 | yes | characteristic |
| 177 | C3×H(5,𝔽2) | — | 2 | 3 | no | — |
| 178 | C3×H(5,𝔽2) | — | 3 | 3 | no | — |
| 179 | C3×H(5,𝔽2) | — | 3 | 3 | no | — |
| 180 | C3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 181 | C3×H(5,𝔽2) | — | 3 | 3 | no | — |
| 182 | C3×H(5,𝔽2) | — | 3 | 6 | no | — |
| 183 | C3×H(5,𝔽2) | — | 6 | 3 | no | — |
| 184 | C3×H(5,𝔽2) | — | 6 | 3 | no | — |
| 185 | C3×H(5,𝔽2) | — | 6 | 3 | no | — |
| 186 | C3×H(5,𝔽2) | — | 6 | 3 | no | — |
| 187 | C3×H(5,𝔽2) | — | 6 | 3 | no | — |
| 188 | C3×H(5,𝔽2) | — | 6 | 6 | no | — |
| 189 | C3×H(5,𝔽2) | — | 6 | 6 | no | — |
| 190 | C3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 191 | C3×H(5,𝔽2) | — | 6 | 3 | no | — |
| 192 | C3×H(5,𝔽2) | — | 6 | 6 | no | — |
| 193 | C3×H(5,𝔽2) | #67 | 1 | 1 | yes | characteristic |
| 194 | C3×H(5,𝔽2) | C22×D3 | 1 | 3 | yes | — |
| 195 | C2×C3×#41 | — | 2 | 3 | no | — |
| 196 | C2×C3×#41 | — | 2 | 3 | no | — |
| 197 | C2×C3×#41 | — | 3 | 1 | no | — |
| 198 | C2×C3×#41 | — | 3 | 3 | no | — |
| 199 | C2×C3×#41 | — | 3 | 2 | no | — |
| 200 | C2×C3×#41 | — | 3 | 3 | no | — |
| 201 | C2×C3×#41 | — | 3 | 3 | no | — |
| 202 | C2×C3×#41 | — | 3 | 3 | no | — |
| 203 | C2×C3×#41 | — | 6 | 3 | no | — |
| 204 | C2×C3×#41 | — | 6 | 6 | no | — |
| 205 | C2×C3×#41 | — | 6 | 1 | no | — |
| 206 | C2×C3×#41 | — | 6 | 3 | no | — |
| 207 | C2×C3×#41 | — | 6 | 3 | no | — |
| 208 | C2×C3×#41 | — | 6 | 3 | no | — |
| 209 | C2×C3×#41 | — | 6 | 6 | no | — |
| 210 | C2×C3×#41 | C22×D3 | 1 | 3 | yes | — |
| 211 | C22×C3×D4 | — | 3 | 3 | no | — |
| 212 | C22×C3×D4 | — | 3 | 6 | no | — |
| 213 | C22×C3×D4 | — | 6 | 1 | no | — |
| 214 | C22×C3×D4 | — | 6 | 3 | no | — |
| 215 | C22×C3×D4 | — | 6 | 3 | no | — |
| 216 | C22×C3×D4 | — | 6 | 6 | no | — |
| 217 | C22×#67 | — | 6 | 6 | no | — |
| 218 | #1009 | — | 6 | 1 | no | — |
| 219 | #1009 | — | 6 | 3 | no | — |
| 220 | #1009 | — | 6 | 3 | no | — |
| 221 | #1009 | — | 6 | 1 | no | — |
| 222 | C2×#239 | — | 6 | 1 | no | — |
| 223 | C2×D3×D4 | — | 6 | 3 | no | — |
| 224 | C2×#235 | — | 3 | 3 | no | — |
| 225 | C22×D12 | — | 3 | 3 | no | — |
| 226 | #953 | — | 6 | 6 | no | — |
| 227 | #951 | — | 3 | 3 | no | — |
| 228 | #951 | — | 3 | 3 | no | — |
| 229 | #951 | — | 3 | 1 | no | — |
| 230 | #951 | — | 3 | 1 | no | — |
| 231 | #950 | — | 6 | 3 | no | — |
| 232 | #950 | — | 6 | 6 | no | — |
| 233 | #950 | — | 6 | 6 | no | — |
| 234 | #950 | — | 6 | 3 | no | — |
| 235 | #950 | — | 6 | 3 | no | — |
| 236 | #950 | — | 6 | 3 | no | — |
| 237 | #949 | — | 3 | 3 | no | — |
| 238 | #949 | — | 3 | 6 | no | — |
| 239 | #949 | — | 3 | 6 | no | — |
| 240 | #949 | — | 3 | 3 | no | — |
| 241 | #949 | — | 3 | 3 | no | — |
| 242 | #949 | — | 3 | 3 | no | — |
| 243 | #949 | — | 6 | 3 | no | — |
| 244 | #949 | — | 6 | 6 | no | — |
| 245 | #949 | — | 6 | 6 | no | — |
| 246 | #949 | — | 6 | 3 | no | — |
| 247 | #949 | — | 6 | 3 | no | — |
| 248 | #949 | — | 6 | 3 | no | — |
| 249 | #948 | — | 6 | 1 | no | — |
| 250 | #948 | — | 6 | 3 | no | — |
| 251 | #948 | — | 6 | 3 | no | — |
| 252 | #948 | — | 6 | 1 | no | — |
| 253 | #947 | — | 3 | 3 | no | — |
| 254 | Q8×Dic3 | — | 6 | 1 | no | — |
| 255 | #944 | — | 3 | 1 | no | — |
| 256 | #942 | — | 6 | 3 | no | — |
| 257 | #942 | — | 6 | 3 | no | — |
| 258 | #942 | — | 6 | 3 | no | — |
| 259 | #942 | — | 6 | 3 | no | — |
| 260 | C2×#215 | — | 6 | 3 | no | — |
| 261 | C2×#215 | — | 6 | 3 | no | — |
| 262 | C2×#215 | — | 6 | 3 | no | — |
| 263 | C2×#215 | — | 6 | 3 | no | — |
| 264 | #940 | — | 3 | 3 | no | — |
| 265 | #940 | — | 3 | 6 | no | — |
| 266 | #940 | — | 6 | 6 | no | — |
| 267 | #939 | — | 6 | 6 | no | — |
| 268 | #938 | — | 6 | 6 | no | — |
| 269 | #937 | — | 6 | 6 | no | — |
| 270 | #936 | — | 3 | 3 | no | — |
| 271 | D4×Dic3 | — | 6 | 3 | no | — |
| 272 | #932 | — | 6 | 3 | no | — |
| 273 | #932 | — | 6 | 3 | no | — |
| 274 | #932 | — | 6 | 3 | no | — |
| 275 | #932 | — | 6 | 3 | no | — |
| 276 | C2×#213 | — | 6 | 3 | no | — |
| 277 | C2×#213 | — | 6 | 3 | no | — |
| 278 | C2×#213 | — | 6 | 3 | no | — |
| 279 | C2×#213 | — | 6 | 3 | no | — |
| 280 | #930 | — | 6 | 6 | no | — |
| 281 | C4×#67 | — | 6 | 6 | no | — |
| 282 | #926 | — | 3 | 3 | no | — |
| 283 | C2×C4×Dic3 | — | 3 | 3 | no | — |
| 284 | C2×#208 | — | 3 | 3 | no | — |
| 285 | C2×#208 | — | 3 | 3 | no | — |
| 286 | C2×#208 | — | 3 | 3 | no | — |
| 287 | C2×#208 | — | 3 | 3 | no | — |
| 288 | #837 | — | 3 | 3 | no | — |
| 289 | #837 | — | 3 | 3 | no | — |
| 290 | #837 | — | 3 | 1 | no | — |
| 291 | #837 | — | 3 | 6 | no | — |
| 292 | #837 | — | 3 | 3 | no | — |
| 293 | #837 | — | 3 | 3 | no | — |
| 294 | #837 | — | 3 | 6 | no | — |
| 295 | #837 | — | 3 | 3 | no | — |
| 296 | #837 | — | 3 | 1 | no | — |
| 297 | #837 | — | 3 | 3 | no | — |
| 298 | #836 | — | 3 | 1 | no | — |
| 299 | #836 | — | 3 | 3 | no | — |
| 300 | #833 | — | 3 | 3 | no | — |
| 301 | #833 | — | 3 | 6 | no | — |
| 302 | #833 | — | 3 | 3 | no | — |
| 303 | C22×D9 | — | 8 | 3 | no | — |
| 304 | Q8×C9 | — | 4 | 1 | no | — |
| 305 | Q8×C9 | — | 4 | 3 | no | — |
| 306 | Q8×C9 | — | 8 | 3 | no | — |
| 307 | D4×C9 | — | 4 | 3 | no | — |
| 308 | D4×C9 | — | 4 | 1 | no | — |
| 309 | D4×C9 | — | 8 | 3 | no | — |
| 310 | C2×C4×C9 | — | 4 | 3 | no | — |
| 311 | C2×C4×C9 | — | 8 | 3 | no | — |
| 312 | C2×C4×C9 | — | 8 | 3 | no | — |
| 313 | #611 | — | 8 | 3 | no | — |
| 314 | D36 | — | 4 | 3 | no | — |
| 315 | D36 | — | 8 | 3 | no | — |
| 316 | C4×D9 | — | 8 | 3 | no | — |
| 317 | Dic18 | — | 4 | 1 | no | — |
| 318 | Q8⋊C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 319 | C9⋊C8 | — | 4 | 1 | no | — |
| 320 | C9⋊C8 | — | 4 | 3 | no | — |
| 321 | #585 | — | 2 | 3 | no | — |
| 322 | #585 | — | 3 | 1 | no | — |
| 323 | #585 | — | 3 | 3 | no | — |
| 324 | #585 | — | 6 | 1 | no | — |
| 325 | #585 | C2×D9 | 1 | 1 | yes | characteristic |
| 326 | #585 | C2×D9 | 1 | 3 | yes | complemented |
| 327 | C2×H(5,𝔽2) | — | 2 | 1 | no | — |
| 328 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 329 | C2×H(5,𝔽2) | — | 3 | 3 | no | — |
| 330 | C2×H(5,𝔽2) | — | 6 | 3 | no | — |
| 331 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 332 | C2×H(5,𝔽2) | C2×D9 | 1 | 3 | yes | complemented |
| 333 | #577 | — | 18 | 1 | no | — |
| 334 | #577 | — | 18 | 3 | no | — |
| 335 | #577 | — | 18 | 3 | no | — |
| 336 | #577 | — | 18 | 1 | no | — |
| 337 | #576 | — | 18 | 3 | no | — |
| 338 | #576 | — | 18 | 3 | no | — |
| 339 | #576 | — | 18 | 1 | no | — |
| 340 | #576 | — | 18 | 1 | no | — |
| 341 | #575 | — | 9 | 3 | no | — |
| 342 | #575 | — | 9 | 3 | no | — |
| 343 | #575 | — | 9 | 3 | no | — |
| 344 | #575 | — | 9 | 3 | no | — |
| 345 | C2×AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 346 | C2×AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 347 | C2×AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 348 | C2×AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 349 | #568 | — | 9 | 1 | no | — |
| 350 | #568 | — | 9 | 1 | no | — |
| 351 | #550 | — | 18 | 2 | no | — |
| 352 | D42 | — | 18 | 6 | no | — |
| 353 | #535 | — | 9 | 3 | no | — |
| 354 | #535 | — | 9 | 3 | no | — |
| 355 | #532 | — | 9 | 3 | no | — |
| 356 | C2×#127 | — | 9 | 3 | no | — |
| 357 | C4×#41 | — | 9 | 1 | no | — |
| 358 | #456 | — | 9 | 3 | no | — |
| 359 | #456 | — | 9 | 1 | no | — |
| 360 | #455 | — | 9 | 3 | no | — |
| 361 | #455 | — | 9 | 6 | no | — |
| 362 | #455 | — | 9 | 3 | no | — |
| 363 | #454 | — | 9 | 6 | no | — |
| 364 | #454 | — | 9 | 3 | no | — |
| 365 | #454 | — | 9 | 3 | no | — |
| 366 | #453 | — | 9 | 3 | no | — |
| 367 | #453 | — | 9 | 6 | no | — |
| 368 | #453 | — | 9 | 6 | no | — |
| 369 | #453 | — | 9 | 6 | no | — |
| 370 | #453 | — | 9 | 6 | no | — |
| 371 | #453 | — | 9 | 3 | no | — |
| 372 | #453 | — | 9 | 6 | no | — |
| 373 | #421 | — | 9 | 3 | no | — |
| 374 | #421 | — | 9 | 3 | no | — |
| 375 | #421 | — | 9 | 3 | no | — |
| 376 | #421 | — | 9 | 3 | no | — |
| 377 | C2×#104 | — | 9 | 3 | no | — |
| 378 | C2×#104 | — | 9 | 3 | no | — |
| 379 | C2×#104 | — | 9 | 3 | no | — |
| 380 | C2×#104 | — | 9 | 3 | no | — |
| 381 | #413 | — | 9 | 3 | no | — |
| 382 | #413 | — | 9 | 3 | no | — |
| 383 | C2×#100 | — | 9 | 3 | no | — |
| 384 | C2×#100 | — | 9 | 3 | no | — |
| 385 | C24×C3 | — | 3 | 6 | no | — |
| 386 | C24×C3 | — | 6 | 2 | no | — |
| 387 | C23×D3 | — | 6 | 3 | no | — |
| 388 | C3×#41 | — | 2 | 3 | no | — |
| 389 | C3×#41 | — | 2 | 3 | no | — |
| 390 | C3×#41 | — | 3 | 1 | no | — |
| 391 | C3×#41 | — | 3 | 3 | no | — |
| 392 | C3×#41 | — | 3 | 3 | no | — |
| 393 | C3×#41 | — | 3 | 3 | no | — |
| 394 | C3×#41 | — | 3 | 3 | no | — |
| 395 | C3×#41 | — | 3 | 6 | no | — |
| 396 | C3×#41 | — | 3 | 3 | no | — |
| 397 | C3×#41 | — | 3 | 6 | no | — |
| 398 | C3×#41 | — | 3 | 1 | no | — |
| 399 | C3×#41 | — | 3 | 3 | no | — |
| 400 | C3×#41 | — | 6 | 3 | no | — |
| 401 | C3×#41 | — | 6 | 6 | no | — |
| 402 | C3×#41 | — | 6 | 3 | no | — |
| 403 | C3×#41 | — | 6 | 1 | no | — |
| 404 | C3×#41 | — | 6 | 3 | no | — |
| 405 | C3×#41 | — | 6 | 3 | no | — |
| 406 | C3×#41 | — | 6 | 3 | no | — |
| 407 | C3×#41 | — | 6 | 3 | no | — |
| 408 | C3×#41 | — | 6 | 3 | no | — |
| 409 | C3×#41 | — | 6 | 6 | no | — |
| 410 | C3×#41 | — | 6 | 3 | no | — |
| 411 | C3×#41 | — | 6 | 3 | no | — |
| 412 | C3×#41 | — | 6 | 3 | no | — |
| 413 | C3×#41 | — | 6 | 6 | no | — |
| 414 | C3×#41 | — | 6 | 12 | no | — |
| 415 | C3×#41 | — | 6 | 1 | no | — |
| 416 | C3×#41 | — | 6 | 3 | no | — |
| 417 | C3×#41 | — | 6 | 3 | no | — |
| 418 | C3×#41 | — | 6 | 6 | no | — |
| 419 | C3×#41 | C2×#67 | 1 | 3 | yes | — |
| 420 | C3×#41 | C2×S4 | 1 | 3 | yes | — |
| 421 | C3×#41 | C2×S4 | 1 | 1 | yes | characteristic |
| 422 | C3×#41 | C23×D3 | 1 | 1 | yes | characteristic |
| 423 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 424 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 425 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 426 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 427 | C2×C3×Q8 | — | 3 | 3 | no | — |
| 428 | C2×C3×Q8 | — | 3 | 3 | no | — |
| 429 | C2×C3×Q8 | — | 6 | 3 | no | — |
| 430 | C2×C3×Q8 | — | 6 | 3 | no | — |
| 431 | C2×C3×Q8 | C2×#67 | 1 | 3 | yes | — |
| 432 | C2×C3×Q8 | C2×S4 | 1 | 3 | yes | — |
| 433 | C2×C3×D4 | — | 3 | 3 | no | — |
| 434 | C2×C3×D4 | — | 3 | 3 | no | — |
| 435 | C2×C3×D4 | — | 3 | 3 | no | — |
| 436 | C2×C3×D4 | — | 3 | 3 | no | — |
| 437 | C2×C3×D4 | — | 3 | 3 | no | — |
| 438 | C2×C3×D4 | — | 3 | 6 | no | — |
| 439 | C2×C3×D4 | — | 3 | 6 | no | — |
| 440 | C2×C3×D4 | — | 3 | 3 | no | — |
| 441 | C2×C3×D4 | — | 6 | 3 | no | — |
| 442 | C2×C3×D4 | — | 6 | 3 | no | — |
| 443 | C2×C3×D4 | — | 6 | 3 | no | — |
| 444 | C2×C3×D4 | — | 6 | 3 | no | — |
| 445 | C2×C3×D4 | — | 6 | 3 | no | — |
| 446 | C2×C3×D4 | — | 6 | 6 | no | — |
| 447 | C2×C3×D4 | — | 6 | 3 | no | — |
| 448 | C2×C3×D4 | — | 6 | 3 | no | — |
| 449 | C2×C3×D4 | — | 6 | 3 | no | — |
| 450 | C2×C3×D4 | — | 6 | 12 | no | — |
| 451 | C2×C3×D4 | — | 6 | 6 | no | — |
| 452 | C2×C3×D4 | — | 6 | 3 | no | — |
| 453 | C2×C3×D4 | — | 6 | 6 | no | — |
| 454 | C2×C3×D4 | — | 6 | 12 | no | — |
| 455 | C2×C3×D4 | — | 6 | 6 | no | — |
| 456 | C2×C3×D4 | — | 6 | 6 | no | — |
| 457 | C2×C3×D4 | — | 6 | 6 | no | — |
| 458 | C2×C3×D4 | — | 6 | 3 | no | — |
| 459 | C22×C3×C4 | — | 3 | 3 | no | — |
| 460 | C22×C3×C4 | — | 3 | 6 | no | — |
| 461 | C22×C3×C4 | — | 6 | 3 | no | — |
| 462 | C22×C3×C4 | — | 6 | 3 | no | — |
| 463 | C22×C3×C4 | — | 6 | 1 | no | — |
| 464 | C22×C3×C4 | — | 6 | 6 | no | — |
| 465 | C2×#67 | — | 6 | 6 | no | — |
| 466 | C2×#67 | — | 6 | 3 | no | — |
| 467 | C2×#67 | — | 6 | 12 | no | — |
| 468 | C2×#67 | — | 24 | 12 | no | — |
| 469 | C22×Dic3 | — | 6 | 3 | no | — |
| 470 | #239 | — | 12 | 3 | no | — |
| 471 | #239 | — | 12 | 1 | no | — |
| 472 | D3×D4 | — | 12 | 6 | no | — |
| 473 | D3×D4 | — | 12 | 3 | no | — |
| 474 | D3×D4 | — | 12 | 3 | no | — |
| 475 | #235 | — | 6 | 3 | no | — |
| 476 | #235 | — | 6 | 3 | no | — |
| 477 | #235 | — | 6 | 3 | no | — |
| 478 | #235 | — | 6 | 3 | no | — |
| 479 | C2×D12 | — | 3 | 3 | no | — |
| 480 | C2×D12 | — | 6 | 3 | no | — |
| 481 | C2×D12 | — | 6 | 3 | no | — |
| 482 | C2×D12 | — | 6 | 3 | no | — |
| 483 | C2×D12 | — | 6 | 3 | no | — |
| 484 | C2×D12 | — | 6 | 3 | no | — |
| 485 | C2×C4×D3 | — | 6 | 3 | no | — |
| 486 | C2×Dic6 | — | 3 | 1 | no | — |
| 487 | #217 | — | 6 | 3 | no | — |
| 488 | #217 | — | 6 | 6 | no | — |
| 489 | #216 | — | 6 | 3 | no | — |
| 490 | #216 | — | 6 | 1 | no | — |
| 491 | #216 | — | 6 | 1 | no | — |
| 492 | #216 | — | 6 | 3 | no | — |
| 493 | #215 | — | 6 | 3 | no | — |
| 494 | #215 | — | 6 | 6 | no | — |
| 495 | #215 | — | 6 | 3 | no | — |
| 496 | #215 | — | 6 | 3 | no | — |
| 497 | #215 | — | 6 | 3 | no | — |
| 498 | #215 | — | 6 | 6 | no | — |
| 499 | #214 | — | 6 | 3 | no | — |
| 500 | #214 | — | 6 | 1 | no | — |
| 501 | #214 | — | 6 | 3 | no | — |
| 502 | #214 | — | 6 | 1 | no | — |
| 503 | #213 | — | 6 | 3 | no | — |
| 504 | #213 | — | 6 | 6 | no | — |
| 505 | #213 | — | 6 | 3 | no | — |
| 506 | #213 | — | 6 | 3 | no | — |
| 507 | #213 | — | 6 | 6 | no | — |
| 508 | #213 | — | 6 | 3 | no | — |
| 509 | (C2×D3)⋊C4 | — | 6 | 6 | no | — |
| 510 | C4⋊Dic3 | — | 6 | 3 | no | — |
| 511 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 512 | C4×Dic3 | — | 3 | 1 | no | — |
| 513 | C4×Dic3 | — | 3 | 3 | no | — |
| 514 | C4×Dic3 | — | 6 | 3 | no | — |
| 515 | #208 | — | 3 | 1 | no | — |
| 516 | #208 | — | 3 | 3 | no | — |
| 517 | #208 | — | 3 | 3 | no | — |
| 518 | #208 | — | 3 | 1 | no | — |
| 519 | #208 | — | 6 | 3 | no | — |
| 520 | #208 | — | 6 | 3 | no | — |
| 521 | #208 | — | 6 | 3 | no | — |
| 522 | #208 | — | 6 | 3 | no | — |
| 523 | C2×C3⋊C8 | — | 6 | 3 | no | — |
| 524 | C2×C3⋊C8 | — | 6 | 3 | no | — |
| 525 | C2×C3⋊C8 | — | 6 | 3 | no | — |
| 526 | C2×C3⋊C8 | — | 6 | 3 | no | — |
| 527 | C22×C9 | — | 4 | 3 | no | — |
| 528 | C22×C9 | — | 8 | 1 | no | — |
| 529 | C2×D9 | — | 8 | 3 | no | — |
| 530 | C2×D9 | — | 32 | 3 | no | — |
| 531 | C4×C9 | — | 4 | 3 | no | — |
| 532 | C4×C9 | — | 4 | 1 | no | — |
| 533 | C4×C9 | — | 8 | 3 | no | — |
| 534 | Dic9 | — | 8 | 1 | no | — |
| 535 | 2−1+4 | — | 2 | 3 | no | — |
| 536 | 2−1+4 | — | 3 | 1 | no | — |
| 537 | 2−1+4 | — | 3 | 3 | no | — |
| 538 | 2−1+4 | — | 3 | 3 | no | — |
| 539 | 2−1+4 | — | 6 | 1 | no | — |
| 540 | 2−1+4 | — | 6 | 3 | no | — |
| 541 | 2−1+4 | #611 | 1 | 3 | yes | — |
| 542 | 2−1+4 | (C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 543 | 2−1+4 | C22×D9 | 1 | 1 | yes | characteristic |
| 544 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 545 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 546 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 547 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 548 | H(5,𝔽2) | — | 3 | 3 | no | — |
| 549 | H(5,𝔽2) | — | 3 | 6 | no | — |
| 550 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 551 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 552 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 553 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 554 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 555 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 556 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 557 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 558 | H(5,𝔽2) | — | 6 | 3 | no | — |
| 559 | H(5,𝔽2) | — | 6 | 6 | no | — |
| 560 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 561 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 562 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 563 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 564 | H(5,𝔽2) | #611 | 1 | 1 | yes | characteristic |
| 565 | H(5,𝔽2) | C22×D9 | 1 | 3 | yes | — |
| 566 | C2×#41 | — | 2 | 3 | no | — |
| 567 | C2×#41 | — | 2 | 3 | no | — |
| 568 | C2×#41 | — | 3 | 1 | no | — |
| 569 | C2×#41 | — | 3 | 3 | no | — |
| 570 | C2×#41 | — | 3 | 2 | no | — |
| 571 | C2×#41 | — | 3 | 3 | no | — |
| 572 | C2×#41 | — | 3 | 3 | no | — |
| 573 | C2×#41 | — | 3 | 3 | no | — |
| 574 | C2×#41 | — | 6 | 3 | no | — |
| 575 | C2×#41 | — | 6 | 6 | no | — |
| 576 | C2×#41 | — | 6 | 1 | no | — |
| 577 | C2×#41 | — | 6 | 3 | no | — |
| 578 | C2×#41 | — | 6 | 3 | no | — |
| 579 | C2×#41 | — | 6 | 3 | no | — |
| 580 | C2×#41 | — | 6 | 6 | no | — |
| 581 | C2×#41 | — | 9 | 3 | no | — |
| 582 | C2×#41 | — | 18 | 1 | no | — |
| 583 | C2×#41 | C22×D9 | 1 | 3 | yes | — |
| 584 | C22×D4 | — | 3 | 3 | no | — |
| 585 | C22×D4 | — | 3 | 6 | no | — |
| 586 | C22×D4 | — | 6 | 1 | no | — |
| 587 | C22×D4 | — | 6 | 3 | no | — |
| 588 | C22×D4 | — | 6 | 3 | no | — |
| 589 | C22×D4 | — | 6 | 6 | no | — |
| 590 | C22×D4 | — | 9 | 3 | no | — |
| 591 | C22×D4 | — | 18 | 3 | no | — |
| 592 | C22×D4 | — | 18 | 6 | no | — |
| 593 | #137 | — | 9 | 3 | no | — |
| 594 | #137 | — | 9 | 3 | no | — |
| 595 | #137 | — | 9 | 1 | no | — |
| 596 | #137 | — | 9 | 1 | no | — |
| 597 | #137 | — | 18 | 3 | no | — |
| 598 | #137 | — | 18 | 3 | no | — |
| 599 | #137 | — | 18 | 3 | no | — |
| 600 | #137 | — | 18 | 3 | no | — |
| 601 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 602 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 603 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 604 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 605 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 606 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 607 | AGL(1,ℤ/8) | — | 18 | 3 | no | — |
| 608 | AGL(1,ℤ/8) | — | 18 | 3 | no | — |
| 609 | AGL(1,ℤ/8) | — | 18 | 3 | no | — |
| 610 | AGL(1,ℤ/8) | — | 18 | 3 | no | — |
| 611 | AGL(1,ℤ/8) | — | 18 | 3 | no | — |
| 612 | AGL(1,ℤ/8) | — | 18 | 6 | no | — |
| 613 | AGL(1,ℤ/8) | — | 18 | 6 | no | — |
| 614 | AGL(1,ℤ/8) | — | 18 | 3 | no | — |
| 615 | AGL(1,ℤ/8) | — | 18 | 3 | no | — |
| 616 | AGL(1,ℤ/8) | — | 18 | 3 | no | — |
| 617 | #135 | — | 18 | 3 | no | — |
| 618 | #135 | — | 18 | 6 | no | — |
| 619 | #135 | — | 18 | 6 | no | — |
| 620 | #135 | — | 18 | 3 | no | — |
| 621 | #135 | — | 18 | 3 | no | — |
| 622 | #135 | — | 18 | 3 | no | — |
| 623 | C2×SD16 | — | 18 | 3 | no | — |
| 624 | C2×SD16 | — | 18 | 3 | no | — |
| 625 | C2×SD16 | — | 18 | 3 | no | — |
| 626 | C2×SD16 | — | 18 | 3 | no | — |
| 627 | C2×D8 | — | 18 | 3 | no | — |
| 628 | C2×D8 | — | 18 | 3 | no | — |
| 629 | C2×D8 | — | 18 | 3 | no | — |
| 630 | C2×D8 | — | 18 | 3 | no | — |
| 631 | #131 | — | 18 | 1 | no | — |
| 632 | #131 | — | 18 | 3 | no | — |
| 633 | #131 | — | 18 | 3 | no | — |
| 634 | #131 | — | 18 | 1 | no | — |
| 635 | C2×M16 | — | 9 | 3 | no | — |
| 636 | C2×M16 | — | 9 | 3 | no | — |
| 637 | C2×M16 | — | 9 | 3 | no | — |
| 638 | C2×M16 | — | 9 | 3 | no | — |
| 639 | C4⋊Q8 | — | 9 | 1 | no | — |
| 640 | #127 | — | 9 | 3 | no | — |
| 641 | #127 | — | 9 | 6 | no | — |
| 642 | #127 | — | 18 | 6 | no | — |
| 643 | #124 | — | 9 | 3 | no | — |
| 644 | #124 | — | 9 | 3 | no | — |
| 645 | #121 | — | 18 | 6 | no | — |
| 646 | #121 | — | 18 | 6 | no | — |
| 647 | #121 | — | 18 | 6 | no | — |
| 648 | #120 | — | 18 | 6 | no | — |
| 649 | #120 | — | 18 | 6 | no | — |
| 650 | C4×Q8 | — | 18 | 1 | no | — |
| 651 | C4×D4 | — | 18 | 6 | no | — |
| 652 | C4×D4 | — | 18 | 3 | no | — |
| 653 | #117 | — | 9 | 3 | no | — |
| 654 | C2×C42 | — | 9 | 3 | no | — |
| 655 | #104 | — | 9 | 3 | no | — |
| 656 | #104 | — | 9 | 3 | no | — |
| 657 | #104 | — | 9 | 1 | no | — |
| 658 | #104 | — | 9 | 6 | no | — |
| 659 | #104 | — | 9 | 3 | no | — |
| 660 | #104 | — | 9 | 3 | no | — |
| 661 | #104 | — | 9 | 6 | no | — |
| 662 | #104 | — | 9 | 3 | no | — |
| 663 | #104 | — | 9 | 1 | no | — |
| 664 | #104 | — | 9 | 3 | no | — |
| 665 | #101 | — | 9 | 1 | no | — |
| 666 | #101 | — | 9 | 3 | no | — |
| 667 | #100 | — | 9 | 3 | no | — |
| 668 | #100 | — | 9 | 6 | no | — |
| 669 | #100 | — | 9 | 3 | no | — |
| 670 | C23×C3 | — | 3 | 3 | no | — |
| 671 | C23×C3 | — | 3 | 6 | no | — |
| 672 | C23×C3 | — | 6 | 3 | no | — |
| 673 | C23×C3 | — | 6 | 1 | no | — |
| 674 | C23×C3 | — | 6 | 6 | no | — |
| 675 | C23×C3 | — | 6 | 3 | no | — |
| 676 | C23×C3 | — | 24 | 6 | no | — |
| 677 | C23×C3 | — | 48 | 2 | no | — |
| 678 | C22×D3 | — | 6 | 3 | no | — |
| 679 | C22×D3 | — | 12 | 3 | no | — |
| 680 | C22×D3 | — | 12 | 3 | no | — |
| 681 | C22×D3 | — | 24 | 6 | no | — |
| 682 | C3×Q8 | — | 2 | 3 | no | — |
| 683 | C3×Q8 | — | 3 | 3 | no | — |
| 684 | C3×Q8 | — | 3 | 3 | no | — |
| 685 | C3×Q8 | — | 3 | 1 | no | — |
| 686 | C3×Q8 | — | 6 | 3 | no | — |
| 687 | C3×Q8 | — | 6 | 1 | no | — |
| 688 | C3×Q8 | GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 689 | C3×Q8 | C22×#67 | 1 | 1 | yes | characteristic |
| 690 | C3×Q8 | C22×S4 | 1 | 3 | yes | — |
| 691 | C3×D4 | — | 2 | 3 | no | — |
| 692 | C3×D4 | — | 3 | 3 | no | — |
| 693 | C3×D4 | — | 3 | 1 | no | — |
| 694 | C3×D4 | — | 3 | 6 | no | — |
| 695 | C3×D4 | — | 3 | 3 | no | — |
| 696 | C3×D4 | — | 3 | 3 | no | — |
| 697 | C3×D4 | — | 6 | 3 | no | — |
| 698 | C3×D4 | — | 6 | 6 | no | — |
| 699 | C3×D4 | — | 6 | 3 | no | — |
| 700 | C3×D4 | — | 6 | 3 | no | — |
| 701 | C3×D4 | — | 6 | 3 | no | — |
| 702 | C3×D4 | — | 6 | 6 | no | — |
| 703 | C3×D4 | — | 6 | 1 | no | — |
| 704 | C3×D4 | — | 6 | 6 | no | — |
| 705 | C3×D4 | — | 6 | 3 | no | — |
| 706 | C3×D4 | — | 6 | 3 | no | — |
| 707 | C3×D4 | GL(2,ℤ/4) | 1 | 3 | yes | — |
| 708 | C3×D4 | C22×S4 | 1 | 1 | yes | characteristic |
| 709 | C2×C3×C4 | — | 2 | 3 | no | — |
| 710 | C2×C3×C4 | — | 2 | 3 | no | — |
| 711 | C2×C3×C4 | — | 3 | 3 | no | — |
| 712 | C2×C3×C4 | — | 3 | 3 | no | — |
| 713 | C2×C3×C4 | — | 3 | 3 | no | — |
| 714 | C2×C3×C4 | — | 3 | 3 | no | — |
| 715 | C2×C3×C4 | — | 3 | 1 | no | — |
| 716 | C2×C3×C4 | — | 3 | 2 | no | — |
| 717 | C2×C3×C4 | — | 6 | 3 | no | — |
| 718 | C2×C3×C4 | — | 6 | 6 | no | — |
| 719 | C2×C3×C4 | — | 6 | 3 | no | — |
| 720 | C2×C3×C4 | — | 6 | 3 | no | — |
| 721 | C2×C3×C4 | — | 6 | 1 | no | — |
| 722 | C2×C3×C4 | — | 6 | 6 | no | — |
| 723 | C2×C3×C4 | — | 6 | 3 | no | — |
| 724 | C2×C3×C4 | C22×S4 | 1 | 3 | yes | — |
| 725 | #67 | — | 12 | 12 | no | — |
| 726 | #67 | — | 12 | 3 | no | — |
| 727 | #67 | — | 12 | 3 | no | — |
| 728 | #67 | — | 24 | 12 | no | — |
| 729 | C2×Dic3 | — | 6 | 1 | no | — |
| 730 | C2×Dic3 | — | 6 | 3 | no | — |
| 731 | C2×Dic3 | — | 6 | 1 | no | — |
| 732 | C2×Dic3 | — | 12 | 6 | no | — |
| 733 | D12 | — | 6 | 3 | no | — |
| 734 | D12 | — | 6 | 3 | no | — |
| 735 | D12 | — | 12 | 3 | no | — |
| 736 | D12 | — | 12 | 3 | no | — |
| 737 | C4×D3 | — | 12 | 3 | no | — |
| 738 | C4×D3 | — | 12 | 3 | no | — |
| 739 | Dic6 | — | 6 | 1 | no | — |
| 740 | Dic6 | — | 6 | 1 | no | — |
| 741 | C3⋊C8 | — | 6 | 1 | no | — |
| 742 | C3⋊C8 | — | 6 | 3 | no | — |
| 743 | C3⋊C8 | — | 6 | 1 | no | — |
| 744 | C3⋊C8 | — | 6 | 3 | no | — |
| 745 | C2×C9 | — | 4 | 1 | no | — |
| 746 | C2×C9 | — | 8 | 3 | no | — |
| 747 | C2×C9 | — | 16 | 1 | no | — |
| 748 | D9 | — | 16 | 3 | no | — |
| 749 | C24 | — | 3 | 6 | no | — |
| 750 | C24 | — | 6 | 2 | no | — |
| 751 | C24 | — | 18 | 3 | no | — |
| 752 | #41 | — | 2 | 3 | no | — |
| 753 | #41 | — | 2 | 3 | no | — |
| 754 | #41 | — | 3 | 1 | no | — |
| 755 | #41 | — | 3 | 3 | no | — |
| 756 | #41 | — | 3 | 3 | no | — |
| 757 | #41 | — | 3 | 3 | no | — |
| 758 | #41 | — | 3 | 3 | no | — |
| 759 | #41 | — | 3 | 6 | no | — |
| 760 | #41 | — | 3 | 3 | no | — |
| 761 | #41 | — | 3 | 6 | no | — |
| 762 | #41 | — | 3 | 1 | no | — |
| 763 | #41 | — | 3 | 3 | no | — |
| 764 | #41 | — | 6 | 3 | no | — |
| 765 | #41 | — | 6 | 6 | no | — |
| 766 | #41 | — | 6 | 3 | no | — |
| 767 | #41 | — | 6 | 1 | no | — |
| 768 | #41 | — | 6 | 3 | no | — |
| 769 | #41 | — | 6 | 3 | no | — |
| 770 | #41 | — | 6 | 3 | no | — |
| 771 | #41 | — | 6 | 3 | no | — |
| 772 | #41 | — | 6 | 3 | no | — |
| 773 | #41 | — | 6 | 6 | no | — |
| 774 | #41 | — | 6 | 3 | no | — |
| 775 | #41 | — | 6 | 3 | no | — |
| 776 | #41 | — | 6 | 3 | no | — |
| 777 | #41 | — | 6 | 6 | no | — |
| 778 | #41 | — | 6 | 12 | no | — |
| 779 | #41 | — | 6 | 1 | no | — |
| 780 | #41 | — | 6 | 3 | no | — |
| 781 | #41 | — | 6 | 3 | no | — |
| 782 | #41 | — | 6 | 6 | no | — |
| 783 | #41 | — | 18 | 3 | no | — |
| 784 | #41 | — | 18 | 3 | no | — |
| 785 | #41 | — | 18 | 3 | no | — |
| 786 | #41 | — | 18 | 3 | no | — |
| 787 | #41 | — | 36 | 3 | no | — |
| 788 | #41 | — | 36 | 1 | no | — |
| 789 | #41 | C2×#611 | 1 | 3 | yes | — |
| 790 | #41 | C2×(C22⋊C9)⋊C2 | 1 | 3 | yes | — |
| 791 | #41 | C2×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 792 | #41 | C23×D9 | 1 | 1 | yes | characteristic |
| 793 | C2×Q8 | — | 2 | 1 | no | — |
| 794 | C2×Q8 | — | 2 | 1 | no | — |
| 795 | C2×Q8 | — | 3 | 1 | no | — |
| 796 | C2×Q8 | — | 3 | 1 | no | — |
| 797 | C2×Q8 | — | 3 | 3 | no | — |
| 798 | C2×Q8 | — | 3 | 3 | no | — |
| 799 | C2×Q8 | — | 6 | 3 | no | — |
| 800 | C2×Q8 | — | 6 | 3 | no | — |
| 801 | C2×Q8 | — | 9 | 1 | no | — |
| 802 | C2×Q8 | C2×#611 | 1 | 3 | yes | — |
| 803 | C2×Q8 | C2×(C22⋊C9)⋊C2 | 1 | 3 | yes | — |
| 804 | C2×D4 | — | 3 | 3 | no | — |
| 805 | C2×D4 | — | 3 | 3 | no | — |
| 806 | C2×D4 | — | 3 | 3 | no | — |
| 807 | C2×D4 | — | 3 | 3 | no | — |
| 808 | C2×D4 | — | 3 | 3 | no | — |
| 809 | C2×D4 | — | 3 | 6 | no | — |
| 810 | C2×D4 | — | 3 | 6 | no | — |
| 811 | C2×D4 | — | 3 | 3 | no | — |
| 812 | C2×D4 | — | 6 | 3 | no | — |
| 813 | C2×D4 | — | 6 | 3 | no | — |
| 814 | C2×D4 | — | 6 | 3 | no | — |
| 815 | C2×D4 | — | 6 | 3 | no | — |
| 816 | C2×D4 | — | 6 | 3 | no | — |
| 817 | C2×D4 | — | 6 | 6 | no | — |
| 818 | C2×D4 | — | 6 | 3 | no | — |
| 819 | C2×D4 | — | 6 | 3 | no | — |
| 820 | C2×D4 | — | 6 | 3 | no | — |
| 821 | C2×D4 | — | 6 | 12 | no | — |
| 822 | C2×D4 | — | 6 | 6 | no | — |
| 823 | C2×D4 | — | 6 | 3 | no | — |
| 824 | C2×D4 | — | 6 | 6 | no | — |
| 825 | C2×D4 | — | 6 | 12 | no | — |
| 826 | C2×D4 | — | 6 | 6 | no | — |
| 827 | C2×D4 | — | 6 | 6 | no | — |
| 828 | C2×D4 | — | 6 | 6 | no | — |
| 829 | C2×D4 | — | 6 | 3 | no | — |
| 830 | C2×D4 | — | 9 | 3 | no | — |
| 831 | C2×D4 | — | 18 | 3 | no | — |
| 832 | C2×D4 | — | 18 | 3 | no | — |
| 833 | C2×D4 | — | 18 | 3 | no | — |
| 834 | C2×D4 | — | 18 | 3 | no | — |
| 835 | C2×D4 | — | 18 | 6 | no | — |
| 836 | C2×D4 | — | 18 | 3 | no | — |
| 837 | C2×D4 | — | 18 | 12 | no | — |
| 838 | C2×D4 | — | 18 | 3 | no | — |
| 839 | C2×D4 | — | 36 | 6 | no | — |
| 840 | C2×D4 | — | 36 | 3 | no | — |
| 841 | C2×D4 | — | 36 | 3 | no | — |
| 842 | C2×D4 | — | 72 | 12 | no | — |
| 843 | C22×C4 | — | 3 | 3 | no | — |
| 844 | C22×C4 | — | 3 | 6 | no | — |
| 845 | C22×C4 | — | 6 | 3 | no | — |
| 846 | C22×C4 | — | 6 | 3 | no | — |
| 847 | C22×C4 | — | 6 | 1 | no | — |
| 848 | C22×C4 | — | 6 | 6 | no | — |
| 849 | C22×C4 | — | 18 | 3 | no | — |
| 850 | C22×C4 | — | 18 | 3 | no | — |
| 851 | Q16 | — | 18 | 3 | no | — |
| 852 | Q16 | — | 18 | 1 | no | — |
| 853 | Q16 | — | 18 | 3 | no | — |
| 854 | Q16 | — | 18 | 1 | no | — |
| 855 | SD16 | — | 18 | 3 | no | — |
| 856 | SD16 | — | 18 | 1 | no | — |
| 857 | SD16 | — | 18 | 3 | no | — |
| 858 | SD16 | — | 18 | 3 | no | — |
| 859 | SD16 | — | 18 | 6 | no | — |
| 860 | SD16 | — | 18 | 3 | no | — |
| 861 | SD16 | — | 18 | 6 | no | — |
| 862 | SD16 | — | 18 | 3 | no | — |
| 863 | SD16 | — | 18 | 3 | no | — |
| 864 | SD16 | — | 18 | 1 | no | — |
| 865 | D8 | — | 18 | 6 | no | — |
| 866 | D8 | — | 18 | 3 | no | — |
| 867 | D8 | — | 18 | 3 | no | — |
| 868 | D8 | — | 18 | 6 | no | — |
| 869 | D8 | — | 18 | 3 | no | — |
| 870 | D8 | — | 18 | 3 | no | — |
| 871 | M16 | — | 9 | 1 | no | — |
| 872 | M16 | — | 9 | 3 | no | — |
| 873 | M16 | — | 9 | 3 | no | — |
| 874 | M16 | — | 9 | 1 | no | — |
| 875 | M16 | — | 18 | 3 | no | — |
| 876 | M16 | — | 18 | 3 | no | — |
| 877 | M16 | — | 18 | 3 | no | — |
| 878 | M16 | — | 18 | 3 | no | — |
| 879 | C2×C8 | — | 18 | 3 | no | — |
| 880 | C2×C8 | — | 18 | 3 | no | — |
| 881 | C2×C8 | — | 18 | 3 | no | — |
| 882 | C2×C8 | — | 18 | 3 | no | — |
| 883 | C4⋊C4 | — | 18 | 3 | no | — |
| 884 | C4⋊C4 | — | 18 | 2 | no | — |
| 885 | C22⋊C4 | — | 18 | 6 | no | — |
| 886 | C22⋊C4 | — | 18 | 3 | no | — |
| 887 | C22⋊C4 | — | 18 | 6 | no | — |
| 888 | C42 | — | 9 | 1 | no | — |
| 889 | C42 | — | 9 | 3 | no | — |
| 890 | C42 | — | 18 | 3 | no | — |
| 891 | C22×C3 | — | 2 | 1 | no | — |
| 892 | C22×C3 | — | 3 | 1 | no | — |
| 893 | C22×C3 | — | 3 | 3 | no | — |
| 894 | C22×C3 | — | 6 | 3 | no | — |
| 895 | C22×C3 | — | 12 | 3 | no | — |
| 896 | C22×C3 | — | 12 | 6 | no | — |
| 897 | C22×C3 | — | 24 | 3 | no | — |
| 898 | C22×C3 | — | 24 | 3 | no | — |
| 899 | C22×C3 | — | 24 | 1 | no | — |
| 900 | C22×C3 | — | 24 | 6 | no | — |
| 901 | C22×C3 | C2×GL(2,ℤ/4) | 1 | 3 | yes | — |
| 902 | C2×D3 | — | 12 | 6 | no | — |
| 903 | C2×D3 | — | 12 | 3 | no | — |
| 904 | C2×D3 | — | 48 | 3 | no | — |
| 905 | C2×D3 | — | 48 | 3 | no | — |
| 906 | C3×C4 | — | 2 | 3 | no | — |
| 907 | C3×C4 | — | 3 | 1 | no | — |
| 908 | C3×C4 | — | 3 | 3 | no | — |
| 909 | C3×C4 | — | 6 | 1 | no | — |
| 910 | C3×C4 | C2×GL(2,ℤ/4) | 1 | 3 | yes | — |
| 911 | C3×C4 | C23×S4 | 1 | 1 | yes | characteristic |
| 912 | Dic3 | — | 6 | 2 | no | — |
| 913 | Dic3 | — | 12 | 3 | no | — |
| 914 | Dic3 | — | 12 | 1 | no | — |
| 915 | C9 | — | 4 | 1 | no | Sylow |
| 916 | C23 | — | 3 | 3 | no | — |
| 917 | C23 | — | 3 | 6 | no | — |
| 918 | C23 | — | 6 | 3 | no | — |
| 919 | C23 | — | 6 | 1 | no | — |
| 920 | C23 | — | 6 | 6 | no | — |
| 921 | C23 | — | 6 | 3 | no | — |
| 922 | C23 | — | 18 | 3 | no | — |
| 923 | C23 | — | 24 | 6 | no | — |
| 924 | C23 | — | 36 | 3 | no | — |
| 925 | C23 | — | 36 | 3 | no | — |
| 926 | C23 | — | 48 | 2 | no | — |
| 927 | C23 | — | 72 | 6 | no | — |
| 928 | Q8 | — | 2 | 3 | no | — |
| 929 | Q8 | — | 3 | 3 | no | — |
| 930 | Q8 | — | 3 | 3 | no | — |
| 931 | Q8 | — | 3 | 1 | no | — |
| 932 | Q8 | — | 6 | 3 | no | — |
| 933 | Q8 | — | 6 | 1 | no | — |
| 934 | Q8 | — | 18 | 1 | no | — |
| 935 | Q8 | — | 18 | 1 | no | — |
| 936 | Q8 | #63694 | 1 | 1 | yes | characteristic |
| 937 | Q8 | C22×#611 | 1 | 1 | yes | characteristic |
| 938 | Q8 | C22×(C22⋊C9)⋊C2 | 1 | 3 | yes | — |
| 939 | D4 | — | 2 | 3 | no | — |
| 940 | D4 | — | 3 | 3 | no | — |
| 941 | D4 | — | 3 | 1 | no | — |
| 942 | D4 | — | 3 | 6 | no | — |
| 943 | D4 | — | 3 | 3 | no | — |
| 944 | D4 | — | 3 | 3 | no | — |
| 945 | D4 | — | 6 | 3 | no | — |
| 946 | D4 | — | 6 | 6 | no | — |
| 947 | D4 | — | 6 | 3 | no | — |
| 948 | D4 | — | 6 | 3 | no | — |
| 949 | D4 | — | 6 | 3 | no | — |
| 950 | D4 | — | 6 | 6 | no | — |
| 951 | D4 | — | 6 | 1 | no | — |
| 952 | D4 | — | 6 | 6 | no | — |
| 953 | D4 | — | 6 | 3 | no | — |
| 954 | D4 | — | 6 | 3 | no | — |
| 955 | D4 | — | 18 | 3 | no | — |
| 956 | D4 | — | 18 | 3 | no | — |
| 957 | D4 | — | 36 | 3 | no | — |
| 958 | D4 | — | 36 | 12 | no | — |
| 959 | D4 | — | 36 | 3 | no | — |
| 960 | D4 | — | 36 | 3 | no | — |
| 961 | D4 | — | 36 | 3 | no | — |
| 962 | D4 | — | 72 | 12 | no | — |
| 963 | D4 | #63694 | 1 | 3 | yes | — |
| 964 | D4 | C22×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 965 | C2×C4 | — | 2 | 3 | no | — |
| 966 | C2×C4 | — | 2 | 3 | no | — |
| 967 | C2×C4 | — | 3 | 3 | no | — |
| 968 | C2×C4 | — | 3 | 1 | no | — |
| 969 | C2×C4 | — | 3 | 3 | no | — |
| 970 | C2×C4 | — | 3 | 3 | no | — |
| 971 | C2×C4 | — | 3 | 3 | no | — |
| 972 | C2×C4 | — | 3 | 2 | no | — |
| 973 | C2×C4 | — | 6 | 3 | no | — |
| 974 | C2×C4 | — | 6 | 6 | no | — |
| 975 | C2×C4 | — | 6 | 3 | no | — |
| 976 | C2×C4 | — | 6 | 3 | no | — |
| 977 | C2×C4 | — | 6 | 1 | no | — |
| 978 | C2×C4 | — | 6 | 6 | no | — |
| 979 | C2×C4 | — | 6 | 3 | no | — |
| 980 | C2×C4 | — | 18 | 1 | no | — |
| 981 | C2×C4 | — | 18 | 3 | no | — |
| 982 | C2×C4 | — | 18 | 1 | no | — |
| 983 | C2×C4 | — | 36 | 3 | no | — |
| 984 | C2×C4 | — | 36 | 6 | no | — |
| 985 | C2×C4 | — | 36 | 3 | no | — |
| 986 | C2×C4 | C22×(C22⋊C9)⋊C2 | 1 | 3 | yes | — |
| 987 | C8 | — | 18 | 1 | no | — |
| 988 | C8 | — | 18 | 3 | no | — |
| 989 | C8 | — | 18 | 3 | no | — |
| 990 | C8 | — | 18 | 1 | no | — |
| 991 | C2×C3 | — | 2 | 3 | no | — |
| 992 | C2×C3 | — | 4 | 1 | no | — |
| 993 | C2×C3 | — | 6 | 1 | no | — |
| 994 | C2×C3 | — | 6 | 3 | no | — |
| 995 | C2×C3 | — | 12 | 3 | no | — |
| 996 | C2×C3 | C22×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 997 | D3 | — | 24 | 3 | no | — |
| 998 | C22 | — | 2 | 1 | no | — |
| 999 | C22 | — | 3 | 1 | no | — |
| 1000 | C22 | — | 3 | 3 | no | — |
| 1001 | C22 | — | 6 | 3 | no | — |
| 1002 | C22 | — | 12 | 3 | no | — |
| 1003 | C22 | — | 12 | 6 | no | — |
| 1004 | C22 | — | 24 | 3 | no | — |
| 1005 | C22 | — | 24 | 3 | no | — |
| 1006 | C22 | — | 24 | 1 | no | — |
| 1007 | C22 | — | 24 | 6 | no | — |
| 1008 | C22 | — | 36 | 6 | no | — |
| 1009 | C22 | — | 36 | 3 | no | — |
| 1010 | C22 | — | 144 | 3 | no | — |
| 1011 | C22 | — | 144 | 3 | no | — |
| 1012 | C22 | C2×#63694 | 1 | 3 | yes | — |
| 1013 | C4 | — | 2 | 3 | no | — |
| 1014 | C4 | — | 3 | 1 | no | — |
| 1015 | C4 | — | 3 | 3 | no | — |
| 1016 | C4 | — | 6 | 1 | no | — |
| 1017 | C4 | — | 18 | 2 | no | — |
| 1018 | C4 | — | 36 | 3 | no | — |
| 1019 | C4 | — | 36 | 1 | no | — |
| 1020 | C4 | C2×#63694 | 1 | 3 | yes | — |
| 1021 | C4 | C23×(C22⋊C9)⋊C2 | 1 | 1 | yes | characteristic |
| 1022 | C3 | #11714723 | 1 | 1 | yes | characteristic |
| 1023 | C2 | — | 2 | 3 | no | — |
| 1024 | C2 | — | 4 | 1 | no | — |
| 1025 | C2 | — | 6 | 1 | no | — |
| 1026 | C2 | — | 6 | 3 | no | — |
| 1027 | C2 | — | 12 | 3 | no | — |
| 1028 | C2 | — | 72 | 3 | no | — |
| 1029 | C2 | C22×#63694 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11921414 | C2 | semidirect |
| 2. #11920443 | C2 | semidirect |
| 3. #11920442 | C2 | semidirect |
| 4. #11920440 | C2 | semidirect |
| 5. #11920425 | C2 | semidirect |
| 6. C2×#10589531 | C2 | semidirect |
| 7. #11919883 | C2 | semidirect |
| 11. #10593120 | C22 | semidirect |
| 13. C2×#63700 | C22 | semidirect |
| 16. #10593098 | C22 | semidirect |
| 17. C2×#63692 | C22 | semidirect |
| 19. #10589533 | C22 | semidirect |
| 20. #10589532 | C22 | semidirect |
| 21. #10589531 | C22 | semidirect |
| 22. #10589531 | C22 | semidirect |
| 23. #10589530 | C22 | semidirect |
| 24. #10589525 | C22 | semidirect |
| 25. C2×#63422 | C22 | semidirect |
| 44. 2−1+4⋊C9 | D4 | semidirect |
| 47. #63700 | D4 | semidirect |
| 53. #63692 | C23 | semidirect |
| 55. #63690 | C23 | semidirect |
| 63. #63422 | C23 | semidirect |
| 64. #63422 | C23 | semidirect |
| 140. #41⋊C9 | C2×D4 | semidirect |
| 143. C2×Q8⋊C9 | C2×D4 | semidirect |
| 153. H(7,𝔽2) | D9 | semidirect |
| 326. #585 | C2×D9 | semidirect |
| 332. C2×H(5,𝔽2) | C2×D9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11921414 | 2 |
| #11920443 | 2 |
| #11920442 | 2 |
| #11920440 | 2 |
| #11920425 | 2 |
| C2×#10589531 | 2 |
| #11919883 | 2 |
| #11661868 | 3 |
| #10589939 | 4 |