Finite Group DatabasebetaFinite Group DatabasebetaOrder 3456.
1259 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 1259 conjugacy classes of subgroups — too many to draw. Only its 89 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 | C2×#11722576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10593098⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10589531⋊C3 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10589530⋊C3 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10589525⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11920425 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#84104 | — | 3 | 1 | no | maximal |
| 8 | #11722576 | — | 2 | 1 | no | — |
| 9 | #11722576 | C22 | 1 | 2 | yes | — |
| 10 | C2×#88691 | — | 2 | 1 | no | — |
| 11 | C2×#88691 | C22 | 1 | 1 | yes | characteristic |
| 12 | #63692⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | #63691⋊C3 | — | 2 | 1 | no | — |
| 14 | #63690⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #63689⋊C3 | — | 2 | 1 | no | — |
| 16 | #63505⋊C3 | — | 4 | 1 | no | maximal |
| 17 | #63422⋊C3 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×C32×H(5,𝔽2) | D3 | 1 | 1 | yes | characteristic |
| 19 | C3×#5822 | — | 3 | 1 | no | — |
| 20 | C3×#5822 | — | 3 | 1 | no | — |
| 21 | C3×#5805 | — | 3 | 1 | no | — |
| 22 | C2×#63700 | — | 2 | 1 | no | — |
| 23 | C2×#63700 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 24 | #10593098 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 25 | C3×#5242 | — | 3 | 2 | no | — |
| 26 | C3×#5242 | — | 3 | 2 | no | — |
| 27 | C3×#5241 | — | 3 | 2 | no | — |
| 28 | C3×#5241 | — | 3 | 2 | no | — |
| 29 | C3×#5236 | — | 3 | 1 | no | — |
| 30 | C3×#5236 | — | 3 | 1 | no | — |
| 31 | C2×C3×#833 | — | 3 | 1 | no | — |
| 32 | #10589531 | C2×C3 | 1 | 2 | yes | complemented |
| 33 | #10589530 | C2×C3 | 1 | 2 | yes | complemented |
| 34 | #10589525 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×Q8×3−1+2 | — | 4 | 1 | no | — |
| 36 | #3697⋊C3 | — | 4 | 1 | no | — |
| 37 | #88691 | — | 2 | 2 | no | — |
| 38 | #88691 | D4 | 1 | 1 | yes | characteristic, complemented |
| 39 | #88691 | C23 | 1 | 1 | yes | characteristic |
| 40 | C2×#6204 | D4 | 1 | 1 | yes | characteristic, complemented |
| 41 | #3689⋊C3 | — | 2 | 1 | no | — |
| 42 | #3688⋊C3 | — | 2 | 1 | no | — |
| 43 | #3675⋊C3 | — | 4 | 2 | no | — |
| 44 | #3674⋊C3 | — | 4 | 2 | no | — |
| 45 | #3667⋊C3 | — | 4 | 1 | no | — |
| 46 | C3×#3019 | — | 9 | 1 | no | — |
| 47 | #84104 | — | 3 | 1 | no | — |
| 48 | C32×H(5,𝔽2) | — | 2 | 1 | no | — |
| 49 | C32×H(5,𝔽2) | — | 3 | 2 | no | — |
| 50 | C32×H(5,𝔽2) | — | 6 | 1 | no | — |
| 51 | C32×H(5,𝔽2) | C2×D3 | 1 | 2 | yes | — |
| 52 | C2×C32×#41 | — | 2 | 1 | no | — |
| 53 | C2×C32×#41 | — | 3 | 1 | no | — |
| 54 | C2×C32×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 55 | C22×C32×D4 | — | 3 | 1 | no | — |
| 56 | C22×C32×D4 | — | 6 | 1 | no | — |
| 57 | C2×C3×#235 | — | 3 | 1 | no | — |
| 58 | C3×#953 | — | 6 | 2 | no | — |
| 59 | C3×#951 | — | 3 | 1 | no | — |
| 60 | C3×#951 | — | 3 | 2 | no | — |
| 61 | C3×#951 | — | 3 | 1 | no | — |
| 62 | C3×#950 | — | 6 | 1 | no | — |
| 63 | C3×#950 | — | 6 | 2 | no | — |
| 64 | C3×#950 | — | 6 | 1 | no | — |
| 65 | C3×#949 | — | 3 | 1 | no | — |
| 66 | C3×#949 | — | 3 | 2 | no | — |
| 67 | C3×#949 | — | 3 | 1 | no | — |
| 68 | C3×#942 | — | 6 | 1 | no | — |
| 69 | C3×#942 | — | 6 | 1 | no | — |
| 70 | C3×#940 | — | 3 | 2 | no | — |
| 71 | C3×#938 | — | 6 | 2 | no | — |
| 72 | C3×#936 | — | 3 | 2 | no | — |
| 73 | C3×#932 | — | 6 | 1 | no | — |
| 74 | C3×#932 | — | 6 | 1 | no | — |
| 75 | C3×#926 | — | 3 | 1 | no | — |
| 76 | C2×C3×#208 | — | 3 | 1 | no | — |
| 77 | C2×C3×#208 | — | 3 | 1 | no | — |
| 78 | #63700 | — | 2 | 2 | no | — |
| 79 | #63700 | — | 2 | 2 | no | — |
| 80 | #63700 | — | 2 | 1 | no | — |
| 81 | #63700 | C22×C3 | 1 | 2 | yes | — |
| 82 | C2×#41⋊C9 | — | 2 | 2 | no | — |
| 83 | C2×#41⋊C9 | — | 2 | 1 | no | — |
| 84 | C2×#41⋊C9 | — | 2 | 1 | no | — |
| 85 | C2×#41⋊C9 | C22×C3 | 1 | 1 | yes | characteristic |
| 86 | #63692 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 87 | #63691 | — | 2 | 1 | no | — |
| 88 | #63690 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 89 | #63689 | — | 2 | 1 | no | — |
| 90 | C3×#837 | — | 3 | 2 | no | — |
| 91 | C3×#837 | — | 3 | 2 | no | — |
| 92 | C3×#837 | — | 3 | 2 | no | — |
| 93 | C3×#837 | — | 3 | 2 | no | — |
| 94 | C3×#833 | — | 3 | 2 | no | — |
| 95 | C3×#833 | — | 3 | 2 | no | — |
| 96 | #63505 | — | 4 | 1 | no | — |
| 97 | #63422 | C22×C3 | 1 | 2 | yes | complemented |
| 98 | Q8×3−1+2 | — | 4 | 2 | no | — |
| 99 | Q8×3−1+2 | — | 8 | 1 | no | — |
| 100 | C2×C4×3−1+2 | — | 4 | 1 | no | — |
| 101 | C2×C4×3−1+2 | — | 8 | 1 | no | — |
| 102 | #611⋊C3 | — | 8 | 1 | no | — |
| 103 | C4⋊AGL(1,ℤ/9) | — | 4 | 1 | no | — |
| 104 | C4×AGL(1,ℤ/9) | — | 8 | 1 | no | — |
| 105 | 3−1+2⋊Q8 | — | 4 | 1 | no | — |
| 106 | #6204 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | 3−1+2⋊C8 | — | 4 | 2 | no | — |
| 108 | C2×C3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 109 | C2×C3×H(5,𝔽2) | C3×D3 | 1 | 1 | yes | characteristic |
| 110 | C3×#575 | — | 9 | 1 | no | — |
| 111 | C3×#575 | — | 9 | 1 | no | — |
| 112 | C3×#535 | — | 9 | 1 | no | — |
| 113 | #5822 | — | 3 | 1 | no | — |
| 114 | #5822 | — | 3 | 1 | no | — |
| 115 | #5805 | — | 3 | 1 | no | — |
| 116 | C3×#455 | — | 9 | 2 | no | — |
| 117 | C3×#455 | — | 9 | 2 | no | — |
| 118 | C3×#453 | — | 9 | 2 | no | — |
| 119 | C3×#453 | — | 9 | 2 | no | — |
| 120 | C3×#421 | — | 9 | 1 | no | — |
| 121 | C3×#421 | — | 9 | 1 | no | — |
| 122 | C2×C3×#100 | — | 9 | 1 | no | — |
| 123 | #5242 | — | 3 | 2 | no | — |
| 124 | #5242 | — | 3 | 2 | no | — |
| 125 | #5241 | — | 3 | 2 | no | — |
| 126 | #5241 | — | 3 | 2 | no | — |
| 127 | #5236 | — | 3 | 1 | no | — |
| 128 | #5236 | — | 3 | 1 | no | — |
| 129 | C2×#833 | — | 3 | 1 | no | — |
| 130 | C24×C32 | — | 3 | 2 | no | — |
| 131 | C32×#41 | — | 2 | 2 | no | — |
| 132 | C32×#41 | — | 3 | 1 | no | — |
| 133 | C32×#41 | — | 3 | 1 | no | — |
| 134 | C32×#41 | — | 3 | 2 | no | — |
| 135 | C32×#41 | — | 3 | 2 | no | — |
| 136 | C32×#41 | — | 6 | 1 | no | — |
| 137 | C32×#41 | — | 6 | 1 | no | — |
| 138 | C32×#41 | — | 6 | 2 | no | — |
| 139 | C32×#41 | #67 | 1 | 1 | yes | characteristic |
| 140 | C32×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 141 | C2×C32×Q8 | #67 | 1 | 1 | yes | characteristic |
| 142 | C2×C32×Q8 | S4 | 1 | 1 | yes | characteristic |
| 143 | C2×C32×D4 | — | 3 | 1 | no | — |
| 144 | C2×C32×D4 | — | 3 | 2 | no | — |
| 145 | C2×C32×D4 | — | 3 | 2 | no | — |
| 146 | C2×C32×D4 | — | 3 | 1 | no | — |
| 147 | C2×C32×D4 | — | 6 | 1 | no | — |
| 148 | C2×C32×D4 | — | 6 | 1 | no | — |
| 149 | C2×C32×D4 | — | 6 | 1 | no | — |
| 150 | C2×C32×D4 | — | 6 | 1 | no | — |
| 151 | C2×C32×D4 | — | 6 | 2 | no | — |
| 152 | C2×C32×D4 | — | 6 | 2 | no | — |
| 153 | C2×C32×D4 | — | 6 | 4 | no | — |
| 154 | C22×C32×C4 | — | 3 | 1 | no | — |
| 155 | C22×C32×C4 | — | 6 | 1 | no | — |
| 156 | C2×C3×#67 | — | 6 | 1 | no | — |
| 157 | C2×C3×#67 | — | 6 | 4 | no | — |
| 158 | C3×#235 | — | 6 | 1 | no | — |
| 159 | C3×#235 | — | 6 | 1 | no | — |
| 160 | C3×#235 | — | 6 | 1 | no | — |
| 161 | C3×#235 | — | 6 | 1 | no | — |
| 162 | C2×C3×D12 | — | 3 | 1 | no | — |
| 163 | C2×C3×C4×D3 | — | 6 | 1 | no | — |
| 164 | C2×C3×Dic6 | — | 3 | 1 | no | — |
| 165 | C3×#217 | — | 6 | 1 | no | — |
| 166 | C3×#217 | — | 6 | 4 | no | — |
| 167 | C3×#216 | — | 6 | 1 | no | — |
| 168 | C3×#216 | — | 6 | 1 | no | — |
| 169 | C3×#216 | — | 6 | 2 | no | — |
| 170 | C3×#215 | — | 6 | 1 | no | — |
| 171 | C3×#215 | — | 6 | 1 | no | — |
| 172 | C3×#215 | — | 6 | 2 | no | — |
| 173 | C3×#214 | — | 6 | 1 | no | — |
| 174 | C3×#214 | — | 6 | 1 | no | — |
| 175 | C3×#214 | — | 6 | 2 | no | — |
| 176 | C3×#213 | — | 6 | 1 | no | — |
| 177 | C3×#213 | — | 6 | 1 | no | — |
| 178 | C3×#213 | — | 6 | 2 | no | — |
| 179 | C3×C4⋊Dic3 | — | 6 | 1 | no | — |
| 180 | C3×C4×Dic3 | — | 3 | 2 | no | — |
| 181 | C3×#208 | — | 3 | 1 | no | — |
| 182 | C3×#208 | — | 3 | 1 | no | — |
| 183 | C3×#208 | — | 3 | 2 | no | — |
| 184 | C3×#208 | — | 6 | 1 | no | — |
| 185 | C3×#208 | — | 6 | 1 | no | — |
| 186 | C2×C3×C3⋊C8 | — | 6 | 1 | no | — |
| 187 | C2×C3×C3⋊C8 | — | 6 | 1 | no | — |
| 188 | C2×Q8×C9 | — | 4 | 1 | no | — |
| 189 | C2×Q8×C9 | — | 8 | 1 | no | — |
| 190 | #3697 | — | 4 | 1 | no | — |
| 191 | #41⋊C9 | — | 2 | 4 | no | — |
| 192 | #41⋊C9 | — | 2 | 1 | no | — |
| 193 | #41⋊C9 | — | 2 | 1 | no | — |
| 194 | #41⋊C9 | — | 2 | 2 | no | — |
| 195 | #41⋊C9 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 196 | #41⋊C9 | C23×C3 | 1 | 1 | yes | characteristic |
| 197 | C2×Q8⋊C9 | — | 2 | 1 | no | — |
| 198 | C2×Q8⋊C9 | C3×D4 | 1 | 1 | yes | characteristic, complemented |
| 199 | #3689 | — | 2 | 1 | no | — |
| 200 | #3688 | — | 2 | 1 | no | — |
| 201 | #3675 | — | 4 | 2 | no | — |
| 202 | #3674 | — | 4 | 2 | no | — |
| 203 | #3667 | — | 4 | 1 | no | — |
| 204 | #3019 | — | 9 | 1 | no | Sylow |
| 205 | C22×3−1+2 | — | 4 | 1 | no | — |
| 206 | C2×AGL(1,ℤ/9) | — | 8 | 1 | no | — |
| 207 | C4×3−1+2 | — | 4 | 1 | no | — |
| 208 | C4×3−1+2 | — | 4 | 1 | no | — |
| 209 | C4×3−1+2 | — | 8 | 2 | no | — |
| 210 | 3−1+2⋊C4 | — | 8 | 1 | no | — |
| 211 | C3×H(5,𝔽2) | — | 2 | 1 | no | — |
| 212 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 213 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 214 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 215 | C3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 216 | C3×H(5,𝔽2) | — | 6 | 2 | no | — |
| 217 | C3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 218 | C3×H(5,𝔽2) | — | 6 | 2 | no | — |
| 219 | C3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 220 | C3×H(5,𝔽2) | C2×C3×D3 | 1 | 2 | yes | — |
| 221 | C2×C3×#41 | — | 2 | 1 | no | — |
| 222 | C2×C3×#41 | — | 3 | 1 | no | — |
| 223 | C2×C3×#41 | — | 3 | 1 | no | — |
| 224 | C2×C3×#41 | — | 3 | 1 | no | — |
| 225 | C2×C3×#41 | — | 6 | 1 | no | — |
| 226 | C2×C3×#41 | — | 6 | 1 | no | — |
| 227 | C2×C3×#41 | — | 9 | 1 | no | — |
| 228 | C2×C3×#41 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 229 | C22×C3×D4 | — | 3 | 1 | no | — |
| 230 | C22×C3×D4 | — | 3 | 1 | no | — |
| 231 | C22×C3×D4 | — | 6 | 1 | no | — |
| 232 | C22×C3×D4 | — | 6 | 1 | no | — |
| 233 | C22×C3×D4 | — | 6 | 1 | no | — |
| 234 | C22×C3×D4 | — | 6 | 2 | no | — |
| 235 | C2×#235 | — | 3 | 1 | no | — |
| 236 | C3×#137 | — | 9 | 1 | no | — |
| 237 | C3×#137 | — | 9 | 2 | no | — |
| 238 | C3×#137 | — | 9 | 1 | no | — |
| 239 | C3×#137 | — | 18 | 1 | no | — |
| 240 | C3×#137 | — | 18 | 1 | no | — |
| 241 | C3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 242 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 243 | C3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 244 | C3×AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 245 | C3×AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 246 | C3×#135 | — | 18 | 1 | no | — |
| 247 | C3×#135 | — | 18 | 2 | no | — |
| 248 | C3×#135 | — | 18 | 1 | no | — |
| 249 | C2×C3×M16 | — | 9 | 1 | no | — |
| 250 | C2×C3×M16 | — | 9 | 1 | no | — |
| 251 | C3×#127 | — | 9 | 2 | no | — |
| 252 | C3×#124 | — | 9 | 2 | no | — |
| 253 | C3×#121 | — | 18 | 2 | no | — |
| 254 | C3×#120 | — | 18 | 2 | no | — |
| 255 | C3×#117 | — | 9 | 1 | no | — |
| 256 | #953 | — | 6 | 2 | no | — |
| 257 | #951 | — | 3 | 1 | no | — |
| 258 | #951 | — | 3 | 2 | no | — |
| 259 | #951 | — | 3 | 1 | no | — |
| 260 | #950 | — | 6 | 1 | no | — |
| 261 | #950 | — | 6 | 2 | no | — |
| 262 | #950 | — | 6 | 1 | no | — |
| 263 | #949 | — | 3 | 1 | no | — |
| 264 | #949 | — | 3 | 2 | no | — |
| 265 | #949 | — | 3 | 1 | no | — |
| 266 | #942 | — | 6 | 1 | no | — |
| 267 | #942 | — | 6 | 1 | no | — |
| 268 | #940 | — | 3 | 2 | no | — |
| 269 | #938 | — | 6 | 2 | no | — |
| 270 | #936 | — | 3 | 2 | no | — |
| 271 | #932 | — | 6 | 1 | no | — |
| 272 | #932 | — | 6 | 1 | no | — |
| 273 | #926 | — | 3 | 1 | no | — |
| 274 | C2×#208 | — | 3 | 1 | no | — |
| 275 | C2×#208 | — | 3 | 1 | no | — |
| 276 | C3×#104 | — | 9 | 2 | no | — |
| 277 | C3×#104 | — | 9 | 2 | no | — |
| 278 | C3×#104 | — | 9 | 2 | no | — |
| 279 | C3×#104 | — | 9 | 2 | no | — |
| 280 | C3×#100 | — | 9 | 2 | no | — |
| 281 | C3×#100 | — | 9 | 2 | no | — |
| 282 | #837 | — | 3 | 2 | no | — |
| 283 | #837 | — | 3 | 2 | no | — |
| 284 | #837 | — | 3 | 2 | no | — |
| 285 | #837 | — | 3 | 2 | no | — |
| 286 | #833 | — | 3 | 2 | no | — |
| 287 | #833 | — | 3 | 2 | no | — |
| 288 | C23×C32 | — | 3 | 1 | no | — |
| 289 | C23×C32 | — | 3 | 4 | no | — |
| 290 | C23×C32 | — | 6 | 2 | no | — |
| 291 | C23×C32 | — | 6 | 1 | no | — |
| 292 | C23×C32 | — | 24 | 2 | no | — |
| 293 | C22×C3×D3 | — | 6 | 1 | no | — |
| 294 | C32×Q8 | — | 2 | 1 | no | — |
| 295 | C32×Q8 | — | 3 | 1 | no | — |
| 296 | C32×Q8 | C2×#67 | 1 | 1 | yes | characteristic |
| 297 | C32×Q8 | C2×S4 | 1 | 2 | yes | — |
| 298 | C32×D4 | — | 3 | 1 | no | — |
| 299 | C32×D4 | — | 3 | 1 | no | — |
| 300 | C32×D4 | — | 3 | 2 | no | — |
| 301 | C32×D4 | — | 6 | 2 | no | — |
| 302 | C32×D4 | — | 6 | 2 | no | — |
| 303 | C32×D4 | — | 6 | 1 | no | — |
| 304 | C32×D4 | — | 6 | 2 | no | — |
| 305 | C32×D4 | — | 6 | 2 | no | — |
| 306 | C32×D4 | — | 6 | 1 | no | — |
| 307 | C2×C32×C4 | — | 2 | 1 | no | — |
| 308 | C2×C32×C4 | — | 3 | 1 | no | — |
| 309 | C2×C32×C4 | — | 3 | 1 | no | — |
| 310 | C2×C32×C4 | — | 3 | 1 | no | — |
| 311 | C2×C32×C4 | — | 3 | 1 | no | — |
| 312 | C2×C32×C4 | — | 3 | 1 | no | — |
| 313 | C2×C32×C4 | — | 6 | 2 | no | — |
| 314 | C2×C32×C4 | — | 6 | 2 | no | — |
| 315 | C2×C32×C4 | C2×S4 | 1 | 1 | yes | characteristic |
| 316 | C3×#67 | — | 12 | 1 | no | — |
| 317 | C3×#67 | — | 12 | 1 | no | — |
| 318 | C3×#67 | — | 24 | 4 | no | — |
| 319 | C2×C3×Dic3 | — | 6 | 2 | no | — |
| 320 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 321 | C3×D12 | — | 6 | 1 | no | — |
| 322 | C3×D12 | — | 6 | 1 | no | — |
| 323 | C3×C4×D3 | — | 12 | 1 | no | — |
| 324 | C3×C4×D3 | — | 12 | 1 | no | — |
| 325 | C3×Dic6 | — | 6 | 1 | no | — |
| 326 | C3×Dic6 | — | 6 | 1 | no | — |
| 327 | C3×C3⋊C8 | — | 6 | 1 | no | — |
| 328 | C3×C3⋊C8 | — | 6 | 1 | no | — |
| 329 | C3×C3⋊C8 | — | 6 | 2 | no | — |
| 330 | Q8×C9 | — | 4 | 2 | no | — |
| 331 | Q8×C9 | — | 8 | 1 | no | — |
| 332 | Q8×C9 | — | 8 | 2 | no | — |
| 333 | Q8×C9 | — | 8 | 2 | no | — |
| 334 | C2×C4×C9 | — | 4 | 1 | no | — |
| 335 | C2×C4×C9 | — | 8 | 1 | no | — |
| 336 | C2×C4×C9 | — | 8 | 2 | no | — |
| 337 | C2×C4×C9 | — | 8 | 1 | no | — |
| 338 | #611 | — | 8 | 1 | no | — |
| 339 | D36 | — | 4 | 1 | no | — |
| 340 | C4×D9 | — | 8 | 1 | no | — |
| 341 | Dic18 | — | 4 | 1 | no | — |
| 342 | Q8⋊C9 | — | 2 | 1 | no | — |
| 343 | Q8⋊C9 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 344 | C9⋊C8 | — | 4 | 2 | no | — |
| 345 | C2×H(5,𝔽2) | AGL(1,ℤ/9) | 1 | 1 | yes | characteristic, complemented |
| 346 | #575 | — | 9 | 1 | no | — |
| 347 | #575 | — | 9 | 1 | no | — |
| 348 | #535 | — | 9 | 1 | no | — |
| 349 | #455 | — | 9 | 2 | no | — |
| 350 | #455 | — | 9 | 2 | no | — |
| 351 | #453 | — | 9 | 2 | no | — |
| 352 | #453 | — | 9 | 2 | no | — |
| 353 | #421 | — | 9 | 1 | no | — |
| 354 | #421 | — | 9 | 1 | no | — |
| 355 | C2×#100 | — | 9 | 1 | no | — |
| 356 | C2×3−1+2 | — | 4 | 1 | no | — |
| 357 | C2×3−1+2 | — | 8 | 1 | no | — |
| 358 | AGL(1,ℤ/9) | — | 16 | 1 | no | — |
| 359 | C24×C3 | — | 3 | 2 | no | — |
| 360 | C24×C3 | — | 3 | 2 | no | — |
| 361 | C24×C3 | — | 6 | 2 | no | — |
| 362 | C3×#41 | — | 2 | 2 | no | — |
| 363 | C3×#41 | — | 3 | 1 | no | — |
| 364 | C3×#41 | — | 3 | 1 | no | — |
| 365 | C3×#41 | — | 3 | 1 | no | — |
| 366 | C3×#41 | — | 3 | 2 | no | — |
| 367 | C3×#41 | — | 3 | 1 | no | — |
| 368 | C3×#41 | — | 3 | 2 | no | — |
| 369 | C3×#41 | — | 3 | 2 | no | — |
| 370 | C3×#41 | — | 3 | 2 | no | — |
| 371 | C3×#41 | — | 3 | 1 | no | — |
| 372 | C3×#41 | — | 3 | 1 | no | — |
| 373 | C3×#41 | — | 6 | 2 | no | — |
| 374 | C3×#41 | — | 6 | 1 | no | — |
| 375 | C3×#41 | — | 6 | 1 | no | — |
| 376 | C3×#41 | — | 6 | 2 | no | — |
| 377 | C3×#41 | — | 6 | 2 | no | — |
| 378 | C3×#41 | — | 6 | 1 | no | — |
| 379 | C3×#41 | — | 6 | 1 | no | — |
| 380 | C3×#41 | — | 6 | 1 | no | — |
| 381 | C3×#41 | — | 6 | 1 | no | — |
| 382 | C3×#41 | — | 6 | 2 | no | — |
| 383 | C3×#41 | — | 6 | 2 | no | — |
| 384 | C3×#41 | — | 6 | 2 | no | — |
| 385 | C3×#41 | — | 6 | 4 | no | — |
| 386 | C3×#41 | — | 6 | 2 | no | — |
| 387 | C3×#41 | — | 18 | 1 | no | — |
| 388 | C3×#41 | — | 18 | 1 | no | — |
| 389 | C3×#41 | — | 18 | 1 | no | — |
| 390 | C3×#41 | — | 18 | 1 | no | — |
| 391 | C3×#41 | C3×#67 | 1 | 1 | yes | characteristic |
| 392 | C3×#41 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 393 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 394 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 395 | C2×C3×Q8 | — | 9 | 1 | no | — |
| 396 | C2×C3×Q8 | C3×#67 | 1 | 1 | yes | characteristic |
| 397 | C2×C3×Q8 | C3×S4 | 1 | 1 | yes | characteristic |
| 398 | C2×C3×D4 | — | 3 | 1 | no | — |
| 399 | C2×C3×D4 | — | 3 | 1 | no | — |
| 400 | C2×C3×D4 | — | 3 | 1 | no | — |
| 401 | C2×C3×D4 | — | 3 | 2 | no | — |
| 402 | C2×C3×D4 | — | 3 | 2 | no | — |
| 403 | C2×C3×D4 | — | 3 | 2 | no | — |
| 404 | C2×C3×D4 | — | 3 | 2 | no | — |
| 405 | C2×C3×D4 | — | 3 | 1 | no | — |
| 406 | C2×C3×D4 | — | 6 | 1 | no | — |
| 407 | C2×C3×D4 | — | 6 | 2 | no | — |
| 408 | C2×C3×D4 | — | 6 | 1 | no | — |
| 409 | C2×C3×D4 | — | 6 | 2 | no | — |
| 410 | C2×C3×D4 | — | 6 | 1 | no | — |
| 411 | C2×C3×D4 | — | 6 | 1 | no | — |
| 412 | C2×C3×D4 | — | 6 | 1 | no | — |
| 413 | C2×C3×D4 | — | 6 | 1 | no | — |
| 414 | C2×C3×D4 | — | 6 | 1 | no | — |
| 415 | C2×C3×D4 | — | 6 | 1 | no | — |
| 416 | C2×C3×D4 | — | 6 | 1 | no | — |
| 417 | C2×C3×D4 | — | 6 | 2 | no | — |
| 418 | C2×C3×D4 | — | 6 | 2 | no | — |
| 419 | C2×C3×D4 | — | 6 | 2 | no | — |
| 420 | C2×C3×D4 | — | 6 | 2 | no | — |
| 421 | C2×C3×D4 | — | 6 | 2 | no | — |
| 422 | C2×C3×D4 | — | 6 | 1 | no | — |
| 423 | C2×C3×D4 | — | 6 | 4 | no | — |
| 424 | C2×C3×D4 | — | 6 | 4 | no | — |
| 425 | C2×C3×D4 | — | 6 | 4 | no | — |
| 426 | C2×C3×D4 | — | 6 | 2 | no | — |
| 427 | C2×C3×D4 | — | 6 | 2 | no | — |
| 428 | C2×C3×D4 | — | 6 | 2 | no | — |
| 429 | C2×C3×D4 | — | 6 | 4 | no | — |
| 430 | C2×C3×D4 | — | 6 | 4 | no | — |
| 431 | C2×C3×D4 | — | 6 | 4 | no | — |
| 432 | C2×C3×D4 | — | 9 | 1 | no | — |
| 433 | C2×C3×D4 | — | 18 | 1 | no | — |
| 434 | C2×C3×D4 | — | 18 | 4 | no | — |
| 435 | C22×C3×C4 | — | 3 | 1 | no | — |
| 436 | C22×C3×C4 | — | 3 | 1 | no | — |
| 437 | C22×C3×C4 | — | 6 | 1 | no | — |
| 438 | C22×C3×C4 | — | 6 | 1 | no | — |
| 439 | C22×C3×C4 | — | 6 | 1 | no | — |
| 440 | C22×C3×C4 | — | 6 | 2 | no | — |
| 441 | C22×C3×C4 | — | 18 | 1 | no | — |
| 442 | C2×#67 | — | 6 | 1 | no | — |
| 443 | C2×#67 | — | 6 | 4 | no | — |
| 444 | #235 | — | 6 | 1 | no | — |
| 445 | #235 | — | 6 | 1 | no | — |
| 446 | #235 | — | 6 | 1 | no | — |
| 447 | #235 | — | 6 | 1 | no | — |
| 448 | C2×D12 | — | 3 | 1 | no | — |
| 449 | C2×C4×D3 | — | 6 | 1 | no | — |
| 450 | C2×Dic6 | — | 3 | 1 | no | — |
| 451 | C3×Q16 | — | 18 | 1 | no | — |
| 452 | C3×Q16 | — | 18 | 2 | no | — |
| 453 | C3×Q16 | — | 18 | 1 | no | — |
| 454 | C3×SD16 | — | 18 | 1 | no | — |
| 455 | C3×SD16 | — | 18 | 1 | no | — |
| 456 | C3×SD16 | — | 18 | 2 | no | — |
| 457 | C3×SD16 | — | 18 | 1 | no | — |
| 458 | C3×SD16 | — | 18 | 2 | no | — |
| 459 | C3×SD16 | — | 18 | 1 | no | — |
| 460 | C3×D8 | — | 18 | 1 | no | — |
| 461 | C3×D8 | — | 18 | 1 | no | — |
| 462 | C3×D8 | — | 18 | 2 | no | — |
| 463 | C3×M16 | — | 9 | 1 | no | — |
| 464 | C3×M16 | — | 9 | 1 | no | — |
| 465 | C3×M16 | — | 9 | 2 | no | — |
| 466 | C3×M16 | — | 18 | 1 | no | — |
| 467 | C3×M16 | — | 18 | 1 | no | — |
| 468 | C2×C3×C8 | — | 18 | 1 | no | — |
| 469 | C2×C3×C8 | — | 18 | 1 | no | — |
| 470 | C3×C4⋊C4 | — | 18 | 1 | no | — |
| 471 | C3×C22⋊C4 | — | 18 | 1 | no | — |
| 472 | C3×C22⋊C4 | — | 18 | 4 | no | — |
| 473 | C3×C42 | — | 9 | 2 | no | — |
| 474 | #217 | — | 6 | 1 | no | — |
| 475 | #217 | — | 6 | 4 | no | — |
| 476 | #216 | — | 6 | 1 | no | — |
| 477 | #216 | — | 6 | 2 | no | — |
| 478 | #216 | — | 6 | 1 | no | — |
| 479 | #215 | — | 6 | 1 | no | — |
| 480 | #215 | — | 6 | 2 | no | — |
| 481 | #215 | — | 6 | 1 | no | — |
| 482 | #214 | — | 6 | 1 | no | — |
| 483 | #214 | — | 6 | 1 | no | — |
| 484 | #214 | — | 6 | 2 | no | — |
| 485 | #213 | — | 6 | 1 | no | — |
| 486 | #213 | — | 6 | 1 | no | — |
| 487 | #213 | — | 6 | 2 | no | — |
| 488 | C4⋊Dic3 | — | 6 | 1 | no | — |
| 489 | C4×Dic3 | — | 3 | 2 | no | — |
| 490 | #208 | — | 3 | 1 | no | — |
| 491 | #208 | — | 3 | 1 | no | — |
| 492 | #208 | — | 3 | 2 | no | — |
| 493 | #208 | — | 6 | 1 | no | — |
| 494 | #208 | — | 6 | 1 | no | — |
| 495 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 496 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 497 | C22×C32 | — | 3 | 1 | no | — |
| 498 | C22×C32 | — | 3 | 1 | no | — |
| 499 | C22×C32 | — | 6 | 2 | no | — |
| 500 | C22×C32 | — | 12 | 1 | no | — |
| 501 | C22×C32 | — | 12 | 2 | no | — |
| 502 | C22×C32 | — | 12 | 4 | no | — |
| 503 | C22×C32 | — | 24 | 2 | no | — |
| 504 | C22×C32 | GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 505 | C2×C3×D3 | — | 12 | 2 | no | — |
| 506 | C2×C3×D3 | — | 12 | 1 | no | — |
| 507 | C32×C4 | — | 2 | 2 | no | — |
| 508 | C32×C4 | — | 3 | 1 | no | — |
| 509 | C32×C4 | — | 3 | 1 | no | — |
| 510 | C32×C4 | GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 511 | C32×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 512 | C3×Dic3 | — | 12 | 2 | no | — |
| 513 | C3×Dic3 | — | 12 | 1 | no | — |
| 514 | C22×C9 | — | 4 | 1 | no | — |
| 515 | C22×C9 | — | 8 | 1 | no | — |
| 516 | C2×D9 | — | 8 | 1 | no | — |
| 517 | C4×C9 | — | 4 | 1 | no | — |
| 518 | C4×C9 | — | 4 | 1 | no | — |
| 519 | C4×C9 | — | 8 | 2 | no | — |
| 520 | C4×C9 | — | 8 | 4 | no | — |
| 521 | C4×C9 | — | 8 | 1 | no | — |
| 522 | C4×C9 | — | 8 | 1 | no | — |
| 523 | Dic9 | — | 8 | 1 | no | — |
| 524 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 525 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 526 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 527 | H(5,𝔽2) | C2×AGL(1,ℤ/9) | 1 | 2 | yes | — |
| 528 | C2×#41 | — | 2 | 1 | no | — |
| 529 | C2×#41 | — | 3 | 1 | no | — |
| 530 | C2×#41 | — | 9 | 1 | no | — |
| 531 | C2×#41 | C2×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic |
| 532 | C22×D4 | — | 3 | 1 | no | — |
| 533 | C22×D4 | — | 6 | 1 | no | — |
| 534 | #137 | — | 9 | 1 | no | — |
| 535 | #137 | — | 9 | 2 | no | — |
| 536 | #137 | — | 9 | 1 | no | — |
| 537 | #137 | — | 18 | 1 | no | — |
| 538 | #137 | — | 18 | 1 | no | — |
| 539 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 540 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 541 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 542 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 543 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 544 | #135 | — | 18 | 1 | no | — |
| 545 | #135 | — | 18 | 2 | no | — |
| 546 | #135 | — | 18 | 1 | no | — |
| 547 | C2×M16 | — | 9 | 1 | no | — |
| 548 | C2×M16 | — | 9 | 1 | no | — |
| 549 | #127 | — | 9 | 2 | no | — |
| 550 | #124 | — | 9 | 2 | no | — |
| 551 | #121 | — | 18 | 2 | no | — |
| 552 | #120 | — | 18 | 2 | no | — |
| 553 | #117 | — | 9 | 1 | no | — |
| 554 | #104 | — | 9 | 2 | no | — |
| 555 | #104 | — | 9 | 2 | no | — |
| 556 | #104 | — | 9 | 2 | no | — |
| 557 | #104 | — | 9 | 2 | no | — |
| 558 | #100 | — | 9 | 2 | no | — |
| 559 | #100 | — | 9 | 2 | no | — |
| 560 | 3−1+2 | — | 4 | 1 | no | Sylow |
| 561 | C23×C3 | — | 3 | 1 | no | — |
| 562 | C23×C3 | — | 3 | 1 | no | — |
| 563 | C23×C3 | — | 3 | 4 | no | — |
| 564 | C23×C3 | — | 3 | 4 | no | — |
| 565 | C23×C3 | — | 6 | 1 | no | — |
| 566 | C23×C3 | — | 6 | 4 | no | — |
| 567 | C23×C3 | — | 6 | 1 | no | — |
| 568 | C23×C3 | — | 6 | 2 | no | — |
| 569 | C23×C3 | — | 6 | 2 | no | — |
| 570 | C23×C3 | — | 6 | 2 | no | — |
| 571 | C23×C3 | — | 6 | 4 | no | — |
| 572 | C23×C3 | — | 6 | 1 | no | — |
| 573 | C23×C3 | — | 18 | 1 | no | — |
| 574 | C23×C3 | — | 24 | 2 | no | — |
| 575 | C23×C3 | — | 24 | 2 | no | — |
| 576 | C23×C3 | — | 24 | 4 | no | — |
| 577 | C22×D3 | — | 6 | 1 | no | — |
| 578 | C3×Q8 | — | 2 | 1 | no | — |
| 579 | C3×Q8 | — | 3 | 1 | no | — |
| 580 | C3×Q8 | — | 3 | 1 | no | — |
| 581 | C3×Q8 | — | 3 | 2 | no | — |
| 582 | C3×Q8 | — | 3 | 1 | no | — |
| 583 | C3×Q8 | — | 6 | 1 | no | — |
| 584 | C3×Q8 | — | 6 | 1 | no | — |
| 585 | C3×Q8 | — | 18 | 1 | no | — |
| 586 | C3×Q8 | — | 18 | 1 | no | — |
| 587 | C3×Q8 | C2×C3×#67 | 1 | 1 | yes | characteristic |
| 588 | C3×Q8 | C2×C3×S4 | 1 | 2 | yes | — |
| 589 | C3×D4 | — | 3 | 1 | no | — |
| 590 | C3×D4 | — | 3 | 1 | no | — |
| 591 | C3×D4 | — | 3 | 1 | no | — |
| 592 | C3×D4 | — | 3 | 1 | no | — |
| 593 | C3×D4 | — | 3 | 2 | no | — |
| 594 | C3×D4 | — | 3 | 2 | no | — |
| 595 | C3×D4 | — | 6 | 2 | no | — |
| 596 | C3×D4 | — | 6 | 1 | no | — |
| 597 | C3×D4 | — | 6 | 1 | no | — |
| 598 | C3×D4 | — | 6 | 2 | no | — |
| 599 | C3×D4 | — | 6 | 2 | no | — |
| 600 | C3×D4 | — | 6 | 1 | no | — |
| 601 | C3×D4 | — | 6 | 2 | no | — |
| 602 | C3×D4 | — | 6 | 1 | no | — |
| 603 | C3×D4 | — | 6 | 2 | no | — |
| 604 | C3×D4 | — | 6 | 2 | no | — |
| 605 | C3×D4 | — | 6 | 2 | no | — |
| 606 | C3×D4 | — | 6 | 1 | no | — |
| 607 | C3×D4 | — | 6 | 2 | no | — |
| 608 | C3×D4 | — | 6 | 2 | no | — |
| 609 | C3×D4 | — | 6 | 2 | no | — |
| 610 | C3×D4 | — | 6 | 1 | no | — |
| 611 | C3×D4 | — | 6 | 1 | no | — |
| 612 | C3×D4 | — | 6 | 4 | no | — |
| 613 | C3×D4 | — | 6 | 4 | no | — |
| 614 | C3×D4 | — | 6 | 4 | no | — |
| 615 | C3×D4 | — | 6 | 4 | no | — |
| 616 | C3×D4 | — | 6 | 1 | no | — |
| 617 | C3×D4 | — | 18 | 1 | no | — |
| 618 | C3×D4 | — | 18 | 1 | no | — |
| 619 | C3×D4 | — | 36 | 1 | no | — |
| 620 | C3×D4 | — | 36 | 1 | no | — |
| 621 | C3×D4 | — | 72 | 4 | no | — |
| 622 | C2×C3×C4 | — | 2 | 1 | no | — |
| 623 | C2×C3×C4 | — | 3 | 1 | no | — |
| 624 | C2×C3×C4 | — | 3 | 1 | no | — |
| 625 | C2×C3×C4 | — | 3 | 1 | no | — |
| 626 | C2×C3×C4 | — | 3 | 1 | no | — |
| 627 | C2×C3×C4 | — | 3 | 1 | no | — |
| 628 | C2×C3×C4 | — | 3 | 1 | no | — |
| 629 | C2×C3×C4 | — | 3 | 1 | no | — |
| 630 | C2×C3×C4 | — | 3 | 1 | no | — |
| 631 | C2×C3×C4 | — | 3 | 1 | no | — |
| 632 | C2×C3×C4 | — | 3 | 1 | no | — |
| 633 | C2×C3×C4 | — | 3 | 1 | no | — |
| 634 | C2×C3×C4 | — | 6 | 1 | no | — |
| 635 | C2×C3×C4 | — | 6 | 1 | no | — |
| 636 | C2×C3×C4 | — | 6 | 1 | no | — |
| 637 | C2×C3×C4 | — | 6 | 1 | no | — |
| 638 | C2×C3×C4 | — | 6 | 1 | no | — |
| 639 | C2×C3×C4 | — | 6 | 1 | no | — |
| 640 | C2×C3×C4 | — | 6 | 2 | no | — |
| 641 | C2×C3×C4 | — | 6 | 2 | no | — |
| 642 | C2×C3×C4 | — | 6 | 2 | no | — |
| 643 | C2×C3×C4 | — | 6 | 2 | no | — |
| 644 | C2×C3×C4 | — | 6 | 4 | no | — |
| 645 | C2×C3×C4 | — | 6 | 4 | no | — |
| 646 | C2×C3×C4 | — | 18 | 2 | no | — |
| 647 | C2×C3×C4 | — | 18 | 1 | no | — |
| 648 | C2×C3×C4 | — | 36 | 1 | no | — |
| 649 | C2×C3×C4 | — | 36 | 1 | no | — |
| 650 | C2×C3×C4 | C2×C3×S4 | 1 | 1 | yes | characteristic |
| 651 | #67 | — | 12 | 1 | no | — |
| 652 | #67 | — | 12 | 1 | no | — |
| 653 | #67 | — | 24 | 4 | no | — |
| 654 | C2×Dic3 | — | 6 | 2 | no | — |
| 655 | C2×Dic3 | — | 6 | 1 | no | — |
| 656 | D12 | — | 6 | 1 | no | — |
| 657 | D12 | — | 6 | 1 | no | — |
| 658 | C4×D3 | — | 12 | 1 | no | — |
| 659 | C4×D3 | — | 12 | 1 | no | — |
| 660 | Dic6 | — | 6 | 1 | no | — |
| 661 | Dic6 | — | 6 | 1 | no | — |
| 662 | C3×C8 | — | 18 | 1 | no | — |
| 663 | C3×C8 | — | 18 | 1 | no | — |
| 664 | C3×C8 | — | 18 | 2 | no | — |
| 665 | C3⋊C8 | — | 6 | 1 | no | — |
| 666 | C3⋊C8 | — | 6 | 1 | no | — |
| 667 | C3⋊C8 | — | 6 | 2 | no | — |
| 668 | C2×C32 | — | 2 | 1 | no | — |
| 669 | C2×C32 | — | 6 | 1 | no | — |
| 670 | C2×C32 | — | 6 | 1 | no | — |
| 671 | C2×C32 | — | 12 | 2 | no | — |
| 672 | C2×C32 | C2×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 673 | C3×D3 | — | 24 | 1 | no | — |
| 674 | C2×C9 | — | 4 | 1 | no | — |
| 675 | C2×C9 | — | 8 | 1 | no | — |
| 676 | C2×C9 | — | 8 | 2 | no | — |
| 677 | C2×C9 | — | 8 | 1 | no | — |
| 678 | D9 | — | 16 | 1 | no | — |
| 679 | C24 | — | 3 | 2 | no | — |
| 680 | #41 | — | 2 | 2 | no | — |
| 681 | #41 | — | 3 | 1 | no | — |
| 682 | #41 | — | 3 | 1 | no | — |
| 683 | #41 | — | 3 | 2 | no | — |
| 684 | #41 | — | 3 | 2 | no | — |
| 685 | #41 | — | 6 | 1 | no | — |
| 686 | #41 | — | 6 | 1 | no | — |
| 687 | #41 | — | 6 | 2 | no | — |
| 688 | #41 | — | 18 | 1 | no | — |
| 689 | #41 | — | 18 | 1 | no | — |
| 690 | #41 | — | 18 | 1 | no | — |
| 691 | #41 | — | 18 | 1 | no | — |
| 692 | #41 | #611⋊C3 | 1 | 1 | yes | characteristic |
| 693 | #41 | C22×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic |
| 694 | C2×Q8 | — | 9 | 1 | no | — |
| 695 | C2×Q8 | #611⋊C3 | 1 | 1 | yes | characteristic |
| 696 | C2×Q8 | ((C22⋊C9)⋊C2)⋊C3 | 1 | 1 | yes | characteristic |
| 697 | C2×D4 | — | 3 | 1 | no | — |
| 698 | C2×D4 | — | 3 | 2 | no | — |
| 699 | C2×D4 | — | 3 | 2 | no | — |
| 700 | C2×D4 | — | 3 | 1 | no | — |
| 701 | C2×D4 | — | 6 | 1 | no | — |
| 702 | C2×D4 | — | 6 | 1 | no | — |
| 703 | C2×D4 | — | 6 | 1 | no | — |
| 704 | C2×D4 | — | 6 | 1 | no | — |
| 705 | C2×D4 | — | 6 | 2 | no | — |
| 706 | C2×D4 | — | 6 | 2 | no | — |
| 707 | C2×D4 | — | 6 | 4 | no | — |
| 708 | C2×D4 | — | 9 | 1 | no | — |
| 709 | C2×D4 | — | 18 | 1 | no | — |
| 710 | C2×D4 | — | 18 | 4 | no | — |
| 711 | C22×C4 | — | 3 | 1 | no | — |
| 712 | C22×C4 | — | 6 | 1 | no | — |
| 713 | C22×C4 | — | 18 | 1 | no | — |
| 714 | Q16 | — | 18 | 1 | no | — |
| 715 | Q16 | — | 18 | 2 | no | — |
| 716 | Q16 | — | 18 | 1 | no | — |
| 717 | SD16 | — | 18 | 1 | no | — |
| 718 | SD16 | — | 18 | 1 | no | — |
| 719 | SD16 | — | 18 | 2 | no | — |
| 720 | SD16 | — | 18 | 1 | no | — |
| 721 | SD16 | — | 18 | 2 | no | — |
| 722 | SD16 | — | 18 | 1 | no | — |
| 723 | D8 | — | 18 | 1 | no | — |
| 724 | D8 | — | 18 | 1 | no | — |
| 725 | D8 | — | 18 | 2 | no | — |
| 726 | M16 | — | 9 | 1 | no | — |
| 727 | M16 | — | 9 | 1 | no | — |
| 728 | M16 | — | 9 | 2 | no | — |
| 729 | M16 | — | 18 | 1 | no | — |
| 730 | M16 | — | 18 | 1 | no | — |
| 731 | C2×C8 | — | 18 | 1 | no | — |
| 732 | C2×C8 | — | 18 | 1 | no | — |
| 733 | C4⋊C4 | — | 18 | 1 | no | — |
| 734 | C22⋊C4 | — | 18 | 1 | no | — |
| 735 | C22⋊C4 | — | 18 | 4 | no | — |
| 736 | C42 | — | 9 | 2 | no | — |
| 737 | C22×C3 | — | 3 | 1 | no | — |
| 738 | C22×C3 | — | 3 | 1 | no | — |
| 739 | C22×C3 | — | 3 | 1 | no | — |
| 740 | C22×C3 | — | 3 | 1 | no | — |
| 741 | C22×C3 | — | 3 | 1 | no | — |
| 742 | C22×C3 | — | 6 | 1 | no | — |
| 743 | C22×C3 | — | 6 | 1 | no | — |
| 744 | C22×C3 | — | 6 | 2 | no | — |
| 745 | C22×C3 | — | 6 | 4 | no | — |
| 746 | C22×C3 | — | 6 | 2 | no | — |
| 747 | C22×C3 | — | 12 | 1 | no | — |
| 748 | C22×C3 | — | 12 | 2 | no | — |
| 749 | C22×C3 | — | 12 | 1 | no | — |
| 750 | C22×C3 | — | 12 | 4 | no | — |
| 751 | C22×C3 | — | 12 | 4 | no | — |
| 752 | C22×C3 | — | 12 | 2 | no | — |
| 753 | C22×C3 | — | 12 | 4 | no | — |
| 754 | C22×C3 | — | 12 | 2 | no | — |
| 755 | C22×C3 | — | 24 | 4 | no | — |
| 756 | C22×C3 | — | 24 | 2 | no | — |
| 757 | C22×C3 | — | 24 | 2 | no | — |
| 758 | C22×C3 | — | 24 | 4 | no | — |
| 759 | C22×C3 | — | 36 | 1 | no | — |
| 760 | C22×C3 | — | 36 | 2 | no | — |
| 761 | C22×C3 | C3×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 762 | C2×D3 | — | 12 | 2 | no | — |
| 763 | C2×D3 | — | 12 | 1 | no | — |
| 764 | C3×C4 | — | 2 | 2 | no | — |
| 765 | C3×C4 | — | 3 | 1 | no | — |
| 766 | C3×C4 | — | 3 | 1 | no | — |
| 767 | C3×C4 | — | 3 | 1 | no | — |
| 768 | C3×C4 | — | 3 | 1 | no | — |
| 769 | C3×C4 | — | 3 | 1 | no | — |
| 770 | C3×C4 | — | 3 | 1 | no | — |
| 771 | C3×C4 | — | 6 | 2 | no | — |
| 772 | C3×C4 | — | 6 | 1 | no | — |
| 773 | C3×C4 | — | 6 | 1 | no | — |
| 774 | C3×C4 | — | 36 | 1 | no | — |
| 775 | C3×C4 | — | 36 | 2 | no | — |
| 776 | C3×C4 | C3×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 777 | C3×C4 | C22×C3×S4 | 1 | 1 | yes | characteristic |
| 778 | Dic3 | — | 12 | 2 | no | — |
| 779 | Dic3 | — | 12 | 1 | no | — |
| 780 | C32 | #85526 | 1 | 1 | yes | characteristic |
| 781 | C9 | — | 4 | 1 | no | — |
| 782 | C9 | — | 8 | 1 | no | — |
| 783 | C23 | — | 3 | 1 | no | — |
| 784 | C23 | — | 3 | 4 | no | — |
| 785 | C23 | — | 6 | 2 | no | — |
| 786 | C23 | — | 6 | 1 | no | — |
| 787 | C23 | — | 18 | 1 | no | — |
| 788 | C23 | — | 24 | 2 | no | — |
| 789 | Q8 | — | 2 | 1 | no | — |
| 790 | Q8 | — | 3 | 1 | no | — |
| 791 | Q8 | — | 18 | 1 | no | — |
| 792 | Q8 | — | 18 | 1 | no | — |
| 793 | Q8 | C2×#611⋊C3 | 1 | 1 | yes | characteristic |
| 794 | Q8 | C2×((C22⋊C9)⋊C2)⋊C3 | 1 | 2 | yes | — |
| 795 | D4 | — | 3 | 1 | no | — |
| 796 | D4 | — | 3 | 1 | no | — |
| 797 | D4 | — | 3 | 2 | no | — |
| 798 | D4 | — | 6 | 2 | no | — |
| 799 | D4 | — | 6 | 2 | no | — |
| 800 | D4 | — | 6 | 1 | no | — |
| 801 | D4 | — | 6 | 2 | no | — |
| 802 | D4 | — | 6 | 2 | no | — |
| 803 | D4 | — | 6 | 1 | no | — |
| 804 | D4 | — | 18 | 1 | no | — |
| 805 | D4 | — | 18 | 1 | no | — |
| 806 | D4 | — | 36 | 1 | no | — |
| 807 | D4 | — | 36 | 1 | no | — |
| 808 | D4 | — | 72 | 4 | no | — |
| 809 | C2×C4 | — | 2 | 1 | no | — |
| 810 | C2×C4 | — | 3 | 1 | no | — |
| 811 | C2×C4 | — | 3 | 1 | no | — |
| 812 | C2×C4 | — | 3 | 1 | no | — |
| 813 | C2×C4 | — | 3 | 1 | no | — |
| 814 | C2×C4 | — | 3 | 1 | no | — |
| 815 | C2×C4 | — | 6 | 2 | no | — |
| 816 | C2×C4 | — | 6 | 2 | no | — |
| 817 | C2×C4 | — | 18 | 2 | no | — |
| 818 | C2×C4 | — | 18 | 1 | no | — |
| 819 | C2×C4 | — | 36 | 1 | no | — |
| 820 | C2×C4 | — | 36 | 1 | no | — |
| 821 | C2×C4 | C2×((C22⋊C9)⋊C2)⋊C3 | 1 | 1 | yes | characteristic |
| 822 | C8 | — | 18 | 1 | no | — |
| 823 | C8 | — | 18 | 1 | no | — |
| 824 | C8 | — | 18 | 2 | no | — |
| 825 | C2×C3 | — | 2 | 1 | no | — |
| 826 | C2×C3 | — | 3 | 1 | no | — |
| 827 | C2×C3 | — | 6 | 1 | no | — |
| 828 | C2×C3 | — | 6 | 1 | no | — |
| 829 | C2×C3 | — | 6 | 1 | no | — |
| 830 | C2×C3 | — | 6 | 1 | no | — |
| 831 | C2×C3 | — | 6 | 1 | no | — |
| 832 | C2×C3 | — | 12 | 1 | no | — |
| 833 | C2×C3 | — | 12 | 1 | no | — |
| 834 | C2×C3 | — | 12 | 4 | no | — |
| 835 | C2×C3 | — | 12 | 2 | no | — |
| 836 | C2×C3 | — | 12 | 2 | no | — |
| 837 | C2×C3 | — | 72 | 1 | no | — |
| 838 | C2×C3 | C2×C3×GL(2,ℤ/4) | 1 | 1 | yes | characteristic |
| 839 | D3 | — | 24 | 1 | no | — |
| 840 | C22 | — | 3 | 1 | no | — |
| 841 | C22 | — | 3 | 1 | no | — |
| 842 | C22 | — | 6 | 2 | no | — |
| 843 | C22 | — | 12 | 1 | no | — |
| 844 | C22 | — | 12 | 2 | no | — |
| 845 | C22 | — | 12 | 4 | no | — |
| 846 | C22 | — | 24 | 2 | no | — |
| 847 | C22 | — | 36 | 2 | no | — |
| 848 | C22 | — | 36 | 1 | no | — |
| 849 | C22 | #63694⋊C3 | 1 | 1 | yes | characteristic |
| 850 | C4 | — | 2 | 2 | no | — |
| 851 | C4 | — | 3 | 1 | no | — |
| 852 | C4 | — | 3 | 1 | no | — |
| 853 | C4 | — | 36 | 2 | no | — |
| 854 | C4 | — | 36 | 1 | no | — |
| 855 | C4 | #63694⋊C3 | 1 | 1 | yes | characteristic |
| 856 | C4 | C22×((C22⋊C9)⋊C2)⋊C3 | 1 | 1 | yes | characteristic |
| 857 | C3 | — | 3 | 1 | no | — |
| 858 | C3 | C3×#85526 | 1 | 1 | yes | characteristic |
| 859 | C2 | — | 2 | 1 | no | — |
| 860 | C2 | — | 6 | 1 | no | — |
| 861 | C2 | — | 6 | 1 | no | — |
| 862 | C2 | — | 12 | 2 | no | — |
| 863 | C2 | — | 72 | 1 | no | — |
| 864 | C2 | C2×#63694⋊C3 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#11722576 | C2 | semidirect |
| 2. #10593098⋊C3 | C2 | semidirect |
| 3. #10589531⋊C3 | C2 | semidirect |
| 4. #10589530⋊C3 | C2 | semidirect |
| 5. #10589525⋊C3 | C2 | semidirect |
| 6. #11920425 | C3 | semidirect |
| 12. #63692⋊C3 | C22 | semidirect |
| 14. #63690⋊C3 | C22 | semidirect |
| 17. #63422⋊C3 | C22 | semidirect |
| 23. C2×#63700 | C2×C3 | semidirect |
| 24. #10593098 | C2×C3 | semidirect |
| 32. #10589531 | C2×C3 | semidirect |
| 33. #10589530 | C2×C3 | semidirect |
| 34. #10589525 | C2×C3 | semidirect |
| 38. #88691 | D4 | semidirect |
| 40. C2×#6204 | D4 | semidirect |
| 86. #63692 | C22×C3 | semidirect |
| 88. #63690 | C22×C3 | semidirect |
| 97. #63422 | C22×C3 | semidirect |
| 195. #41⋊C9 | C3×D4 | semidirect |
| 198. C2×Q8⋊C9 | C3×D4 | semidirect |
| 345. C2×H(5,𝔽2) | AGL(1,ℤ/9) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11722576 | 2 |
| #10593098⋊C3 | 2 |
| #10589531⋊C3 | 2 |
| #10589530⋊C3 | 2 |
| #10589525⋊C3 | 2 |
| #11920425 | 3 |
| C3×#84104 | 3 |
| #63505⋊C3 | 4 |