Finite Group DatabasebetaFinite Group DatabasebetaOrder 15552.
1019 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 1019 conjugacy classes of subgroups — too many to draw. Only its 55 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 | #72253019 | — | 4 | 1 | no | maximal |
| 2 | #72253018 | — | 4 | 1 | no | maximal |
| 3 | #72253017 | — | 3 | 1 | no | maximal |
| 4 | #72253016 | — | 3 | 1 | no | — |
| 5 | #72253000 | — | 3 | 1 | no | — |
| 6 | #72252994 | C3 | 1 | 2 | yes | maximal, complemented |
| 7 | C3×#13164434 | C3 | 1 | 1 | yes | maximal, characteristic |
| 8 | C3×#63692⋊C3 | — | 3 | 1 | no | — |
| 9 | C3×#63691⋊C3 | — | 3 | 1 | no | — |
| 10 | #72252982 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72245041 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #72244993 | — | 2 | 1 | no | — |
| 13 | #72244993 | C2×C3 | 1 | 2 | yes | complemented |
| 14 | C3×#11722576 | D3 | 1 | 1 | yes | characteristic |
| 15 | C3×#11722576 | C2×C3 | 1 | 1 | yes | characteristic |
| 16 | #72244963 | — | 2 | 2 | no | — |
| 17 | C3×#11722589 | — | 2 | 1 | no | — |
| 18 | #72244951 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 19 | #14517252 | — | 4 | 1 | no | — |
| 20 | #14517252 | — | 4 | 1 | no | — |
| 21 | C32×#5835 | — | 3 | 1 | no | — |
| 22 | #13164434 | — | 3 | 1 | no | — |
| 23 | C3×#10593100 | C32 | 1 | 1 | yes | characteristic |
| 24 | #13152233 | — | 9 | 1 | no | — |
| 25 | #5835⋊C9 | — | 3 | 1 | no | — |
| 26 | #5835⋊C9 | — | 3 | 2 | no | — |
| 27 | C3×#88724 | — | 4 | 1 | no | — |
| 28 | C3×#88691 | — | 3 | 1 | no | — |
| 29 | C3×#88691 | — | 3 | 1 | no | — |
| 30 | C3⋊#88691 | — | 6 | 1 | no | — |
| 31 | C3×#3689⋊C3 | — | 3 | 1 | no | — |
| 32 | C3×#3688⋊C3 | A4 | 1 | 1 | yes | characteristic |
| 33 | 3−1+2×#216 | — | 12 | 1 | no | — |
| 34 | #13047036 | — | 4 | 2 | no | — |
| 35 | #13047035 | — | 4 | 1 | no | — |
| 36 | #3688⋊C9 | — | 4 | 2 | no | — |
| 37 | C9×#3688 | — | 4 | 1 | no | — |
| 38 | #11757569 | — | 16 | 1 | no | — |
| 39 | C33×H(5,𝔽2) | C3×D3 | 1 | 1 | yes | characteristic |
| 40 | C32×#1009 | — | 3 | 1 | no | — |
| 41 | C32×#950 | — | 9 | 1 | no | — |
| 42 | C32×#949 | — | 9 | 1 | no | — |
| 43 | C32×#948 | — | 3 | 1 | no | — |
| 44 | C32×#932 | — | 9 | 1 | no | — |
| 45 | C2×C32×#213 | — | 9 | 1 | no | — |
| 46 | #11722589 | — | 6 | 3 | no | — |
| 47 | C3×#63703 | — | 2 | 1 | no | — |
| 48 | C3×#63703 | — | 2 | 2 | no | — |
| 49 | #11722576 | — | 3 | 1 | no | — |
| 50 | #11722576 | — | 3 | 1 | no | — |
| 51 | #11722576 | — | 6 | 1 | no | — |
| 52 | #11722576 | — | 6 | 1 | no | — |
| 53 | #11722576 | — | 9 | 1 | no | — |
| 54 | C3×#63700 | — | 2 | 1 | no | — |
| 55 | C3×#63700 | C3×D3 | 1 | 1 | yes | characteristic |
| 56 | C3×#63700 | C3×D3 | 1 | 2 | yes | — |
| 57 | C3×#63700 | C2×C32 | 1 | 1 | yes | characteristic |
| 58 | C3⋊#63700 | — | 3 | 1 | no | — |
| 59 | C3⋊#63700 | — | 3 | 2 | no | — |
| 60 | C3×#63692 | — | 3 | 1 | no | — |
| 61 | C3×#63691 | — | 3 | 1 | no | — |
| 62 | #63692⋊C3 | — | 3 | 3 | no | — |
| 63 | #63691⋊C3 | — | 3 | 3 | no | — |
| 64 | #11721359 | — | 9 | 1 | no | — |
| 65 | C3⋊(#131⋊C9) | — | 3 | 1 | no | — |
| 66 | C3⋊(#131⋊C9) | — | 3 | 2 | no | — |
| 67 | C2×C3×#1094 | — | 24 | 1 | no | — |
| 68 | C3×Q8×3−1+2 | — | 4 | 1 | no | — |
| 69 | C3×Q8×3−1+2 | — | 4 | 1 | no | — |
| 70 | C3×C4⋊AGL(1,ℤ/9) | — | 12 | 1 | no | — |
| 71 | C3×C4×AGL(1,ℤ/9) | — | 12 | 1 | no | — |
| 72 | Dic6×3−1+2 | — | 12 | 1 | no | — |
| 73 | C3×#6204 | — | 8 | 1 | no | — |
| 74 | C3×#6204 | — | 8 | 1 | no | — |
| 75 | C3×#6204 | S4 | 1 | 1 | yes | characteristic |
| 76 | C3×#6204 | C2×A4 | 1 | 1 | yes | characteristic |
| 77 | C3⋊C8×3−1+2 | — | 12 | 1 | no | — |
| 78 | C9⋊(Q8⋊C9) | — | 4 | 2 | no | — |
| 79 | C9⋊(Q8⋊C9) | — | 8 | 1 | no | — |
| 80 | (Q8⋊C9)⋊C9 | — | 4 | 2 | no | — |
| 81 | (Q8⋊C9)⋊C9 | — | 8 | 2 | no | — |
| 82 | (Q8⋊C9)⋊C9 | — | 8 | 1 | no | — |
| 83 | (Q8⋊C9)⋊C9 | — | 8 | 2 | no | — |
| 84 | C9×Q8⋊C9 | — | 4 | 1 | no | — |
| 85 | C9×Q8⋊C9 | — | 4 | 1 | no | — |
| 86 | C32×#576 | — | 9 | 1 | no | — |
| 87 | C3×#5835 | — | 3 | 1 | no | — |
| 88 | C3×#5835 | — | 9 | 1 | no | — |
| 89 | #10593100 | 3−1+2 | 1 | 1 | yes | characteristic, complemented |
| 90 | #576⋊C9 | — | 9 | 2 | no | — |
| 91 | #576⋊C9 | — | 9 | 1 | no | — |
| 92 | C2×#6900 | — | 16 | 1 | no | — |
| 93 | C33×#41 | — | 3 | 1 | no | — |
| 94 | C33×#41 | — | 3 | 1 | no | — |
| 95 | C2×C33×D4 | — | 9 | 1 | no | — |
| 96 | C32×#239 | — | 6 | 1 | no | — |
| 97 | C32×D3×D4 | — | 18 | 1 | no | — |
| 98 | C32×#235 | — | 9 | 1 | no | — |
| 99 | C2×C32×D12 | — | 9 | 1 | no | — |
| 100 | C32×#216 | — | 3 | 1 | no | — |
| 101 | C32×#215 | — | 9 | 1 | no | — |
| 102 | C32×#214 | — | 9 | 1 | no | — |
| 103 | C32×#213 | — | 9 | 1 | no | — |
| 104 | C32×#213 | — | 9 | 2 | no | — |
| 105 | C32×#208 | — | 9 | 1 | no | — |
| 106 | C2×C32×C3⋊C8 | — | 9 | 1 | no | — |
| 107 | #88724 | — | 12 | 1 | no | — |
| 108 | C3×#3701 | — | 4 | 1 | no | — |
| 109 | #88691 | — | 3 | 1 | no | — |
| 110 | #88691 | — | 3 | 3 | no | — |
| 111 | #88691 | — | 6 | 1 | no | — |
| 112 | #88691 | — | 6 | 2 | no | — |
| 113 | #88691 | — | 6 | 1 | no | — |
| 114 | #88691 | — | 6 | 3 | no | — |
| 115 | #88691 | — | 18 | 1 | no | — |
| 116 | C3×#41⋊C9 | — | 3 | 1 | no | — |
| 117 | C3×#41⋊C9 | — | 3 | 2 | no | — |
| 118 | C3×#41⋊C9 | — | 3 | 1 | no | — |
| 119 | C3×#41⋊C9 | — | 6 | 1 | no | — |
| 120 | C3⋊(#41⋊C9) | — | 6 | 1 | no | — |
| 121 | C3⋊(#41⋊C9) | — | 6 | 2 | no | — |
| 122 | C3×#3689 | — | 3 | 1 | no | — |
| 123 | #3689⋊C3 | — | 3 | 3 | no | — |
| 124 | C3×#3688 | C3×A4 | 1 | 1 | yes | characteristic |
| 125 | #3688⋊C3 | — | 3 | 1 | no | — |
| 126 | Q16×3−1+2 | — | 36 | 1 | no | — |
| 127 | C9×#216 | — | 12 | 1 | no | — |
| 128 | C9×#216 | — | 12 | 2 | no | — |
| 129 | C2×C3×AGL(1,ℤ/9) | — | 12 | 1 | no | — |
| 130 | C3×#1094 | — | 24 | 1 | no | — |
| 131 | C3×C4×3−1+2 | — | 12 | 1 | no | — |
| 132 | C3×C4×3−1+2 | — | 12 | 1 | no | — |
| 133 | Dic3×3−1+2 | — | 24 | 1 | no | — |
| 134 | C3×3−1+2⋊C4 | — | 4 | 1 | no | — |
| 135 | Dic9⋊C9 | — | 16 | 2 | no | — |
| 136 | C9×Dic9 | — | 16 | 1 | no | — |
| 137 | C32×H(5,𝔽2) | — | 3 | 1 | no | — |
| 138 | C32×H(5,𝔽2) | — | 3 | 1 | no | — |
| 139 | C32×H(5,𝔽2) | — | 6 | 1 | no | — |
| 140 | C32×H(5,𝔽2) | — | 9 | 1 | no | — |
| 141 | C32×H(5,𝔽2) | C32×D3 | 1 | 1 | yes | characteristic |
| 142 | C3×#1009 | — | 3 | 1 | no | — |
| 143 | C3×#1009 | — | 9 | 1 | no | — |
| 144 | C32×AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 145 | C32×AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 146 | C32×#135 | — | 27 | 1 | no | — |
| 147 | C2×C32×D8 | — | 27 | 1 | no | — |
| 148 | C32×#131 | — | 9 | 1 | no | — |
| 149 | C3×#950 | — | 9 | 1 | no | — |
| 150 | C3×#950 | — | 9 | 3 | no | — |
| 151 | C3×#949 | — | 9 | 3 | no | — |
| 152 | C3×#949 | — | 9 | 1 | no | — |
| 153 | C3×#948 | — | 3 | 1 | no | — |
| 154 | C3×#948 | — | 9 | 1 | no | — |
| 155 | C3×#932 | — | 9 | 3 | no | — |
| 156 | C3×#932 | — | 9 | 1 | no | — |
| 157 | C2×C3×#213 | — | 9 | 3 | no | — |
| 158 | C2×C3×#213 | — | 9 | 1 | no | — |
| 159 | #63703 | — | 2 | 3 | no | — |
| 160 | #63703 | — | 6 | 2 | no | — |
| 161 | #63700 | — | 2 | 1 | no | — |
| 162 | #63700 | — | 2 | 1 | no | — |
| 163 | #63700 | — | 3 | 2 | no | — |
| 164 | #63700 | — | 6 | 1 | no | — |
| 165 | #63700 | — | 9 | 2 | no | — |
| 166 | #63700 | — | 9 | 1 | no | — |
| 167 | #63700 | AGL(1,ℤ/9) | 1 | 1 | yes | characteristic, complemented |
| 168 | #63700 | C2×3−1+2 | 1 | 1 | yes | characteristic |
| 169 | #63692 | — | 3 | 1 | no | — |
| 170 | #63691 | — | 3 | 1 | no | — |
| 171 | #131⋊C9 | — | 9 | 2 | no | — |
| 172 | #131⋊C9 | — | 9 | 1 | no | — |
| 173 | #6900 | — | 16 | 1 | no | Sylow |
| 174 | C23×C33 | — | 6 | 1 | no | — |
| 175 | C22×C32×D3 | — | 18 | 1 | no | — |
| 176 | C33×Q8 | C3×S4 | 1 | 1 | yes | characteristic |
| 177 | C33×Q8 | D3×A4 | 1 | 1 | yes | characteristic |
| 178 | C33×D4 | — | 9 | 1 | no | — |
| 179 | C33×D4 | — | 9 | 1 | no | — |
| 180 | C2×C33×C4 | — | 9 | 1 | no | — |
| 181 | C32×#67 | — | 18 | 1 | no | — |
| 182 | C32×D12 | — | 9 | 1 | no | — |
| 183 | C32×D12 | — | 18 | 1 | no | — |
| 184 | C32×C4×D3 | — | 18 | 1 | no | — |
| 185 | C32×Dic6 | — | 3 | 1 | no | — |
| 186 | C2×#1094 | — | 24 | 9 | no | — |
| 187 | C2×C3×C22⋊C9 | — | 24 | 1 | no | — |
| 188 | C2×C3×C22⋊C9 | — | 24 | 2 | no | — |
| 189 | C32×C3⋊C8 | — | 3 | 1 | no | — |
| 190 | C32×C3⋊C8 | — | 9 | 1 | no | — |
| 191 | Q8×3−1+2 | — | 12 | 1 | no | — |
| 192 | Q8×3−1+2 | — | 12 | 1 | no | — |
| 193 | Q8×3−1+2 | — | 24 | 1 | no | — |
| 194 | Q8×3−1+2 | — | 24 | 1 | no | — |
| 195 | Q8×3−1+2 | — | 36 | 1 | no | — |
| 196 | C3×Q8×C9 | — | 4 | 1 | no | — |
| 197 | C3×Q8×C9 | — | 4 | 1 | no | — |
| 198 | C3×Q8×C9 | — | 4 | 2 | no | — |
| 199 | C3×Q8×C9 | — | 8 | 1 | no | — |
| 200 | C4⋊AGL(1,ℤ/9) | — | 12 | 3 | no | — |
| 201 | C4×AGL(1,ℤ/9) | — | 12 | 3 | no | — |
| 202 | C3×D36 | — | 12 | 1 | no | — |
| 203 | C3×C4×D9 | — | 12 | 1 | no | — |
| 204 | C9×Dic6 | — | 12 | 1 | no | — |
| 205 | C9×Dic6 | — | 12 | 2 | no | — |
| 206 | #6204 | — | 3 | 1 | no | — |
| 207 | #6204 | — | 3 | 1 | no | — |
| 208 | #6204 | — | 6 | 1 | no | — |
| 209 | #6204 | — | 6 | 1 | no | — |
| 210 | #6204 | — | 24 | 3 | no | — |
| 211 | #6204 | — | 24 | 3 | no | — |
| 212 | C3×Q8⋊C9 | — | 2 | 1 | no | — |
| 213 | C3×Q8⋊C9 | — | 8 | 1 | no | — |
| 214 | C3×Q8⋊C9 | — | 8 | 1 | no | — |
| 215 | C3×Q8⋊C9 | — | 8 | 2 | no | — |
| 216 | C3×Q8⋊C9 | — | 8 | 2 | no | — |
| 217 | C3×Q8⋊C9 | C3×S4 | 1 | 1 | yes | characteristic |
| 218 | C3×Q8⋊C9 | C3×S4 | 1 | 2 | yes | — |
| 219 | C3×Q8⋊C9 | C2×C3×A4 | 1 | 1 | yes | characteristic |
| 220 | C8×3−1+2 | — | 36 | 1 | no | — |
| 221 | C9×C3⋊C8 | — | 12 | 1 | no | — |
| 222 | C9×C3⋊C8 | — | 12 | 2 | no | — |
| 223 | C3×#576 | — | 9 | 1 | no | — |
| 224 | C3×#576 | — | 27 | 1 | no | — |
| 225 | #5835 | — | 3 | 1 | no | — |
| 226 | C2×C3×3−1+2 | — | 4 | 1 | no | — |
| 227 | C2×C3×3−1+2 | — | 4 | 1 | no | — |
| 228 | C2×C3×3−1+2 | — | 32 | 1 | no | — |
| 229 | C3×AGL(1,ℤ/9) | — | 24 | 1 | no | — |
| 230 | C2×C9⋊C9 | — | 16 | 2 | no | — |
| 231 | C2×C9⋊C9 | — | 32 | 2 | no | — |
| 232 | C2×C9⋊C9 | — | 32 | 1 | no | — |
| 233 | C2×C92 | — | 16 | 1 | no | — |
| 234 | C32×#41 | — | 3 | 3 | no | — |
| 235 | C32×#41 | — | 3 | 1 | no | — |
| 236 | C32×#41 | — | 3 | 1 | no | — |
| 237 | C32×#41 | — | 3 | 1 | no | — |
| 238 | C32×#41 | — | 6 | 1 | no | — |
| 239 | C32×#41 | — | 9 | 1 | no | — |
| 240 | C32×#41 | — | 9 | 1 | no | — |
| 241 | C32×#41 | — | 18 | 1 | no | — |
| 242 | C32×#41 | — | 18 | 1 | no | — |
| 243 | C32×#41 | — | 18 | 1 | no | — |
| 244 | C32×#41 | — | 27 | 1 | no | — |
| 245 | C2×C32×D4 | — | 9 | 3 | no | — |
| 246 | C2×C32×D4 | — | 9 | 1 | no | — |
| 247 | C2×C32×D4 | — | 9 | 1 | no | — |
| 248 | C2×C32×D4 | — | 18 | 1 | no | — |
| 249 | C2×C32×D4 | — | 18 | 3 | no | — |
| 250 | C2×C32×D4 | — | 27 | 1 | no | — |
| 251 | C2×C32×D4 | — | 54 | 1 | no | — |
| 252 | C3×#239 | — | 6 | 1 | no | — |
| 253 | C3×#239 | — | 18 | 1 | no | — |
| 254 | C3×D3×D4 | — | 18 | 3 | no | — |
| 255 | C3×D3×D4 | — | 18 | 1 | no | — |
| 256 | C3×#235 | — | 9 | 1 | no | — |
| 257 | C3×#235 | — | 9 | 3 | no | — |
| 258 | C2×C3×D12 | — | 9 | 3 | no | — |
| 259 | C2×C3×D12 | — | 9 | 1 | no | — |
| 260 | C32×Q16 | — | 9 | 1 | no | — |
| 261 | C32×SD16 | — | 27 | 1 | no | — |
| 262 | C32×SD16 | — | 27 | 1 | no | — |
| 263 | C32×D8 | — | 27 | 1 | no | — |
| 264 | C32×D8 | — | 27 | 2 | no | — |
| 265 | C32×M16 | — | 27 | 1 | no | — |
| 266 | C2×C32×C8 | — | 27 | 1 | no | — |
| 267 | C3×#216 | — | 3 | 1 | no | — |
| 268 | C3×#216 | — | 9 | 1 | no | — |
| 269 | C3×#215 | — | 9 | 3 | no | — |
| 270 | C3×#215 | — | 9 | 1 | no | — |
| 271 | C3×#214 | — | 9 | 1 | no | — |
| 272 | C3×#214 | — | 9 | 3 | no | — |
| 273 | C3×#213 | — | 9 | 1 | no | — |
| 274 | C3×#213 | — | 9 | 3 | no | — |
| 275 | C3×#213 | — | 9 | 2 | no | — |
| 276 | C3×#213 | — | 9 | 6 | no | — |
| 277 | C3×#208 | — | 9 | 3 | no | — |
| 278 | C3×#208 | — | 9 | 1 | no | — |
| 279 | C2×C3×C3⋊C8 | — | 9 | 1 | no | — |
| 280 | C2×C3×C3⋊C8 | — | 9 | 3 | no | — |
| 281 | #3701 | — | 4 | 1 | no | — |
| 282 | #41⋊C9 | — | 3 | 2 | no | — |
| 283 | #41⋊C9 | — | 3 | 1 | no | — |
| 284 | #41⋊C9 | — | 3 | 1 | no | — |
| 285 | #41⋊C9 | — | 6 | 1 | no | — |
| 286 | #41⋊C9 | — | 6 | 1 | no | — |
| 287 | #41⋊C9 | — | 6 | 2 | no | — |
| 288 | #41⋊C9 | — | 6 | 3 | no | — |
| 289 | #41⋊C9 | — | 18 | 2 | no | — |
| 290 | #41⋊C9 | — | 18 | 1 | no | — |
| 291 | #3689 | — | 3 | 1 | no | — |
| 292 | #3688 | #1094 | 1 | 1 | yes | characteristic, complemented |
| 293 | C9×Q16 | — | 36 | 1 | no | — |
| 294 | C9×Q16 | — | 36 | 2 | no | — |
| 295 | C22×C33 | — | 9 | 1 | no | — |
| 296 | C22×C33 | — | 24 | 1 | no | — |
| 297 | C2×C32×D3 | — | 18 | 1 | no | — |
| 298 | C2×C32×D3 | — | 72 | 1 | no | — |
| 299 | C33×C4 | — | 3 | 1 | no | — |
| 300 | C33×C4 | — | 3 | 1 | no | — |
| 301 | C32×Dic3 | — | 6 | 1 | no | — |
| 302 | C2×AGL(1,ℤ/9) | — | 12 | 3 | no | — |
| 303 | C2×C3×D9 | — | 12 | 1 | no | — |
| 304 | #1094 | — | 24 | 9 | no | — |
| 305 | C3×C22⋊C9 | — | 24 | 1 | no | — |
| 306 | C3×C22⋊C9 | — | 24 | 2 | no | — |
| 307 | C4×3−1+2 | — | 12 | 1 | no | — |
| 308 | C4×3−1+2 | — | 12 | 3 | no | — |
| 309 | C4×3−1+2 | — | 24 | 1 | no | — |
| 310 | C4×3−1+2 | — | 24 | 2 | no | — |
| 311 | C4×3−1+2 | — | 24 | 1 | no | — |
| 312 | C4×3−1+2 | — | 24 | 3 | no | — |
| 313 | C4×3−1+2 | — | 72 | 1 | no | — |
| 314 | C3×C4×C9 | — | 12 | 1 | no | — |
| 315 | C3×C4×C9 | — | 12 | 2 | no | — |
| 316 | C3×C4×C9 | — | 12 | 1 | no | — |
| 317 | C3×C4×C9 | — | 24 | 1 | no | — |
| 318 | 3−1+2⋊C4 | — | 12 | 1 | no | — |
| 319 | C9×Dic3 | — | 24 | 1 | no | — |
| 320 | C9×Dic3 | — | 24 | 2 | no | — |
| 321 | C3×Dic9 | — | 4 | 1 | no | — |
| 322 | C3×H(5,𝔽2) | — | 2 | 1 | no | — |
| 323 | C3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 324 | C3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 325 | C3×H(5,𝔽2) | — | 27 | 1 | no | — |
| 326 | C3×H(5,𝔽2) | C3×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic |
| 327 | C3×H(5,𝔽2) | D3×3−1+2 | 1 | 1 | yes | characteristic |
| 328 | #1009 | — | 3 | 1 | no | — |
| 329 | C3×AGL(1,ℤ/8) | — | 27 | 3 | no | — |
| 330 | C3×AGL(1,ℤ/8) | — | 27 | 3 | no | — |
| 331 | C3×AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 332 | C3×AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 333 | C3×#135 | — | 27 | 1 | no | — |
| 334 | C3×#135 | — | 27 | 3 | no | — |
| 335 | C2×C3×D8 | — | 27 | 3 | no | — |
| 336 | C2×C3×D8 | — | 27 | 1 | no | — |
| 337 | C3×#131 | — | 9 | 1 | no | — |
| 338 | C3×#131 | — | 27 | 1 | no | — |
| 339 | #950 | — | 9 | 1 | no | — |
| 340 | #949 | — | 9 | 1 | no | — |
| 341 | #948 | — | 3 | 1 | no | — |
| 342 | #932 | — | 9 | 1 | no | — |
| 343 | C2×#213 | — | 9 | 1 | no | — |
| 344 | C3×3−1+2 | — | 4 | 1 | no | — |
| 345 | C3×3−1+2 | — | 4 | 1 | no | — |
| 346 | C3×3−1+2 | — | 32 | 1 | no | — |
| 347 | C9⋊C9 | — | 16 | 2 | no | — |
| 348 | C9⋊C9 | — | 32 | 1 | no | — |
| 349 | C9⋊C9 | — | 32 | 2 | no | — |
| 350 | C92 | — | 16 | 1 | no | — |
| 351 | C23×C32 | — | 6 | 1 | no | — |
| 352 | C23×C32 | — | 6 | 3 | no | — |
| 353 | C23×C32 | — | 18 | 1 | no | — |
| 354 | C23×C32 | — | 18 | 1 | no | — |
| 355 | C23×C32 | — | 18 | 1 | no | — |
| 356 | C23×C32 | — | 54 | 1 | no | — |
| 357 | C22×C3×D3 | — | 18 | 3 | no | — |
| 358 | C22×C3×D3 | — | 18 | 1 | no | — |
| 359 | C32×Q8 | — | 3 | 1 | no | — |
| 360 | C32×Q8 | — | 3 | 1 | no | — |
| 361 | C32×Q8 | — | 3 | 1 | no | — |
| 362 | C32×Q8 | — | 3 | 1 | no | — |
| 363 | C32×Q8 | — | 6 | 1 | no | — |
| 364 | C32×Q8 | — | 6 | 1 | no | — |
| 365 | C32×Q8 | — | 9 | 1 | no | — |
| 366 | C32×Q8 | C32×S4 | 1 | 1 | yes | characteristic |
| 367 | C32×Q8 | C3×D3×A4 | 1 | 1 | yes | characteristic |
| 368 | C32×D4 | — | 9 | 1 | no | — |
| 369 | C32×D4 | — | 9 | 1 | no | — |
| 370 | C32×D4 | — | 9 | 1 | no | — |
| 371 | C32×D4 | — | 9 | 1 | no | — |
| 372 | C32×D4 | — | 9 | 3 | no | — |
| 373 | C32×D4 | — | 9 | 3 | no | — |
| 374 | C32×D4 | — | 18 | 1 | no | — |
| 375 | C32×D4 | — | 18 | 1 | no | — |
| 376 | C32×D4 | — | 18 | 3 | no | — |
| 377 | C32×D4 | — | 18 | 3 | no | — |
| 378 | C32×D4 | — | 27 | 1 | no | — |
| 379 | C32×D4 | — | 54 | 1 | no | — |
| 380 | C32×D4 | — | 54 | 1 | no | — |
| 381 | C2×C32×C4 | — | 9 | 1 | no | — |
| 382 | C2×C32×C4 | — | 9 | 1 | no | — |
| 383 | C2×C32×C4 | — | 9 | 3 | no | — |
| 384 | C2×C32×C4 | — | 18 | 1 | no | — |
| 385 | C2×C32×C4 | — | 18 | 3 | no | — |
| 386 | C2×C32×C4 | — | 54 | 1 | no | — |
| 387 | C3×#67 | — | 18 | 1 | no | — |
| 388 | C3×#67 | — | 18 | 3 | no | — |
| 389 | C3×D12 | — | 9 | 1 | no | — |
| 390 | C3×D12 | — | 9 | 3 | no | — |
| 391 | C3×D12 | — | 18 | 1 | no | — |
| 392 | C3×D12 | — | 18 | 3 | no | — |
| 393 | C3×C4×D3 | — | 18 | 1 | no | — |
| 394 | C3×C4×D3 | — | 18 | 3 | no | — |
| 395 | C3×Dic6 | — | 3 | 1 | no | — |
| 396 | C3×Dic6 | — | 9 | 1 | no | — |
| 397 | C2×C22⋊C9 | — | 24 | 3 | no | — |
| 398 | C2×C22⋊C9 | — | 24 | 6 | no | — |
| 399 | C32×C8 | — | 9 | 1 | no | — |
| 400 | C32×C8 | — | 27 | 1 | no | — |
| 401 | C3×C3⋊C8 | — | 3 | 1 | no | — |
| 402 | C3×C3⋊C8 | — | 9 | 1 | no | — |
| 403 | C3×C3⋊C8 | — | 9 | 1 | no | — |
| 404 | C3×C3⋊C8 | — | 9 | 3 | no | — |
| 405 | Q8×C9 | — | 4 | 1 | no | — |
| 406 | Q8×C9 | — | 4 | 1 | no | — |
| 407 | Q8×C9 | — | 8 | 1 | no | — |
| 408 | Q8×C9 | — | 8 | 1 | no | — |
| 409 | Q8×C9 | — | 12 | 2 | no | — |
| 410 | Q8×C9 | — | 24 | 1 | no | — |
| 411 | Q8×C9 | — | 36 | 1 | no | — |
| 412 | Q8×C9 | — | 36 | 2 | no | — |
| 413 | D36 | — | 12 | 1 | no | — |
| 414 | C4×D9 | — | 12 | 1 | no | — |
| 415 | Q8⋊C9 | — | 2 | 1 | no | — |
| 416 | Q8⋊C9 | — | 2 | 1 | no | — |
| 417 | Q8⋊C9 | — | 3 | 2 | no | — |
| 418 | Q8⋊C9 | — | 6 | 1 | no | — |
| 419 | Q8⋊C9 | — | 8 | 3 | no | — |
| 420 | Q8⋊C9 | — | 8 | 3 | no | — |
| 421 | Q8⋊C9 | — | 24 | 2 | no | — |
| 422 | Q8⋊C9 | — | 24 | 2 | no | — |
| 423 | Q8⋊C9 | ((C22⋊C9)⋊C2)⋊C3 | 1 | 1 | yes | characteristic |
| 424 | Q8⋊C9 | C2×#1094 | 1 | 1 | yes | characteristic |
| 425 | C8×C9 | — | 36 | 1 | no | — |
| 426 | C8×C9 | — | 36 | 2 | no | — |
| 427 | #576 | — | 9 | 1 | no | Sylow |
| 428 | C2×C33 | — | 18 | 1 | no | — |
| 429 | C2×C33 | A4×S4 | 1 | 1 | yes | characteristic |
| 430 | C32×D3 | — | 36 | 1 | no | — |
| 431 | C2×3−1+2 | — | 12 | 1 | no | — |
| 432 | C2×3−1+2 | — | 12 | 1 | no | — |
| 433 | C2×3−1+2 | — | 24 | 1 | no | — |
| 434 | C2×3−1+2 | — | 24 | 1 | no | — |
| 435 | C2×3−1+2 | — | 96 | 3 | no | — |
| 436 | C2×C3×C9 | — | 4 | 1 | no | — |
| 437 | C2×C3×C9 | — | 4 | 1 | no | — |
| 438 | C2×C3×C9 | — | 4 | 2 | no | — |
| 439 | C2×C3×C9 | — | 8 | 1 | no | — |
| 440 | C2×C3×C9 | — | 32 | 1 | no | — |
| 441 | C2×C3×C9 | — | 32 | 2 | no | — |
| 442 | AGL(1,ℤ/9) | — | 24 | 3 | no | — |
| 443 | C3×D9 | — | 24 | 1 | no | — |
| 444 | C3×#41 | — | 3 | 1 | no | — |
| 445 | C3×#41 | — | 3 | 1 | no | — |
| 446 | C3×#41 | — | 3 | 1 | no | — |
| 447 | C3×#41 | — | 3 | 1 | no | — |
| 448 | C3×#41 | — | 6 | 1 | no | — |
| 449 | C3×#41 | — | 6 | 1 | no | — |
| 450 | C3×#41 | — | 9 | 1 | no | — |
| 451 | C3×#41 | — | 9 | 3 | no | — |
| 452 | C3×#41 | — | 18 | 1 | no | — |
| 453 | C3×#41 | — | 18 | 1 | no | — |
| 454 | C3×#41 | — | 27 | 1 | no | — |
| 455 | C3×#41 | — | 27 | 3 | no | — |
| 456 | C3×#41 | — | 54 | 1 | no | — |
| 457 | C2×C3×D4 | — | 9 | 3 | no | — |
| 458 | C2×C3×D4 | — | 9 | 1 | no | — |
| 459 | C2×C3×D4 | — | 9 | 1 | no | — |
| 460 | C2×C3×D4 | — | 18 | 3 | no | — |
| 461 | C2×C3×D4 | — | 18 | 1 | no | — |
| 462 | C2×C3×D4 | — | 27 | 3 | no | — |
| 463 | C2×C3×D4 | — | 27 | 1 | no | — |
| 464 | C2×C3×D4 | — | 54 | 3 | no | — |
| 465 | C2×C3×D4 | — | 54 | 1 | no | — |
| 466 | #239 | — | 6 | 1 | no | — |
| 467 | D3×D4 | — | 18 | 1 | no | — |
| 468 | #235 | — | 9 | 1 | no | — |
| 469 | C2×D12 | — | 9 | 1 | no | — |
| 470 | C3×Q16 | — | 9 | 1 | no | — |
| 471 | C3×Q16 | — | 27 | 1 | no | — |
| 472 | C3×SD16 | — | 27 | 1 | no | — |
| 473 | C3×SD16 | — | 27 | 3 | no | — |
| 474 | C3×SD16 | — | 27 | 3 | no | — |
| 475 | C3×SD16 | — | 27 | 1 | no | — |
| 476 | C3×D8 | — | 27 | 1 | no | — |
| 477 | C3×D8 | — | 27 | 3 | no | — |
| 478 | C3×D8 | — | 27 | 2 | no | — |
| 479 | C3×D8 | — | 27 | 6 | no | — |
| 480 | C3×M16 | — | 27 | 3 | no | — |
| 481 | C3×M16 | — | 27 | 1 | no | — |
| 482 | C2×C3×C8 | — | 27 | 1 | no | — |
| 483 | C2×C3×C8 | — | 27 | 3 | no | — |
| 484 | #216 | — | 3 | 1 | no | — |
| 485 | #215 | — | 9 | 1 | no | — |
| 486 | #214 | — | 9 | 1 | no | — |
| 487 | #213 | — | 9 | 1 | no | — |
| 488 | #213 | — | 9 | 2 | no | — |
| 489 | #208 | — | 9 | 1 | no | — |
| 490 | C2×C3⋊C8 | — | 9 | 1 | no | — |
| 491 | C22×C32 | — | 9 | 1 | no | — |
| 492 | C22×C32 | — | 9 | 3 | no | — |
| 493 | C22×C32 | — | 9 | 1 | no | — |
| 494 | C22×C32 | — | 18 | 1 | no | — |
| 495 | C22×C32 | — | 18 | 3 | no | — |
| 496 | C22×C32 | — | 24 | 1 | no | — |
| 497 | C22×C32 | — | 24 | 3 | no | — |
| 498 | C22×C32 | — | 54 | 1 | no | — |
| 499 | C22×C32 | — | 72 | 1 | no | — |
| 500 | C22×C32 | — | 72 | 1 | no | — |
| 501 | C22×C32 | — | 72 | 1 | no | — |
| 502 | C22×C32 | — | 216 | 1 | no | — |
| 503 | C2×C3×D3 | — | 18 | 3 | no | — |
| 504 | C2×C3×D3 | — | 18 | 1 | no | — |
| 505 | C2×C3×D3 | — | 72 | 3 | no | — |
| 506 | C2×C3×D3 | — | 72 | 1 | no | — |
| 507 | C32×C4 | — | 3 | 1 | no | — |
| 508 | C32×C4 | — | 3 | 1 | no | — |
| 509 | C32×C4 | — | 3 | 1 | no | — |
| 510 | C32×C4 | — | 3 | 3 | no | — |
| 511 | C32×C4 | — | 6 | 1 | no | — |
| 512 | C32×C4 | — | 9 | 1 | no | — |
| 513 | C32×C4 | — | 9 | 1 | no | — |
| 514 | C32×C4 | — | 18 | 1 | no | — |
| 515 | C32×C4 | — | 18 | 1 | no | — |
| 516 | C32×C4 | — | 18 | 1 | no | — |
| 517 | C3×Dic3 | — | 6 | 1 | no | — |
| 518 | C3×Dic3 | — | 18 | 1 | no | — |
| 519 | C2×D9 | — | 12 | 1 | no | — |
| 520 | C22⋊C9 | — | 24 | 3 | no | — |
| 521 | C22⋊C9 | — | 24 | 6 | no | — |
| 522 | C4×C9 | — | 12 | 1 | no | — |
| 523 | C4×C9 | — | 12 | 1 | no | — |
| 524 | C4×C9 | — | 12 | 2 | no | — |
| 525 | C4×C9 | — | 24 | 1 | no | — |
| 526 | C4×C9 | — | 24 | 1 | no | — |
| 527 | C4×C9 | — | 24 | 2 | no | — |
| 528 | C4×C9 | — | 24 | 3 | no | — |
| 529 | C4×C9 | — | 72 | 1 | no | — |
| 530 | C4×C9 | — | 72 | 2 | no | — |
| 531 | Dic9 | — | 4 | 1 | no | — |
| 532 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 533 | H(5,𝔽2) | #92265 | 1 | 1 | yes | characteristic |
| 534 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 535 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 536 | #135 | — | 27 | 1 | no | — |
| 537 | C2×D8 | — | 27 | 1 | no | — |
| 538 | #131 | — | 9 | 1 | no | — |
| 539 | C33 | #226⋊A4 | 1 | 1 | yes | characteristic |
| 540 | 3−1+2 | — | 12 | 1 | no | — |
| 541 | 3−1+2 | — | 12 | 1 | no | — |
| 542 | 3−1+2 | — | 24 | 1 | no | — |
| 543 | 3−1+2 | — | 24 | 1 | no | — |
| 544 | 3−1+2 | — | 96 | 3 | no | — |
| 545 | C3×C9 | — | 4 | 1 | no | — |
| 546 | C3×C9 | — | 4 | 1 | no | — |
| 547 | C3×C9 | — | 4 | 2 | no | — |
| 548 | C3×C9 | — | 8 | 1 | no | — |
| 549 | C3×C9 | — | 32 | 1 | no | — |
| 550 | C3×C9 | — | 32 | 2 | no | — |
| 551 | C23×C3 | — | 6 | 1 | no | — |
| 552 | C23×C3 | — | 6 | 1 | no | — |
| 553 | C23×C3 | — | 6 | 1 | no | — |
| 554 | C23×C3 | — | 6 | 1 | no | — |
| 555 | C23×C3 | — | 18 | 3 | no | — |
| 556 | C23×C3 | — | 54 | 3 | no | — |
| 557 | C23×C3 | — | 54 | 1 | no | — |
| 558 | C22×D3 | — | 18 | 1 | no | — |
| 559 | C3×Q8 | — | 2 | 1 | no | — |
| 560 | C3×Q8 | — | 2 | 1 | no | — |
| 561 | C3×Q8 | — | 9 | 1 | no | — |
| 562 | C3×Q8 | — | 9 | 1 | no | — |
| 563 | C3×Q8 | — | 9 | 1 | no | — |
| 564 | C3×Q8 | — | 27 | 1 | no | — |
| 565 | C3×Q8 | S4×3−1+2 | 1 | 1 | yes | characteristic |
| 566 | C3×Q8 | C3×((C22⋊C9)⋊C2)⋊C3 | 1 | 1 | yes | characteristic |
| 567 | C3×Q8 | A4×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic |
| 568 | C3×Q8 | D3×#1094 | 1 | 1 | yes | characteristic |
| 569 | C3×D4 | — | 9 | 1 | no | — |
| 570 | C3×D4 | — | 9 | 1 | no | — |
| 571 | C3×D4 | — | 9 | 1 | no | — |
| 572 | C3×D4 | — | 9 | 1 | no | — |
| 573 | C3×D4 | — | 9 | 3 | no | — |
| 574 | C3×D4 | — | 9 | 3 | no | — |
| 575 | C3×D4 | — | 18 | 1 | no | — |
| 576 | C3×D4 | — | 18 | 1 | no | — |
| 577 | C3×D4 | — | 18 | 3 | no | — |
| 578 | C3×D4 | — | 18 | 3 | no | — |
| 579 | C3×D4 | — | 27 | 1 | no | — |
| 580 | C3×D4 | — | 27 | 3 | no | — |
| 581 | C3×D4 | — | 54 | 1 | no | — |
| 582 | C3×D4 | — | 54 | 3 | no | — |
| 583 | C3×D4 | — | 54 | 1 | no | — |
| 584 | C3×D4 | — | 54 | 3 | no | — |
| 585 | C2×C3×C4 | — | 9 | 1 | no | — |
| 586 | C2×C3×C4 | — | 9 | 1 | no | — |
| 587 | C2×C3×C4 | — | 9 | 3 | no | — |
| 588 | C2×C3×C4 | — | 18 | 1 | no | — |
| 589 | C2×C3×C4 | — | 18 | 3 | no | — |
| 590 | C2×C3×C4 | — | 54 | 1 | no | — |
| 591 | C2×C3×C4 | — | 54 | 3 | no | — |
| 592 | #67 | — | 18 | 1 | no | — |
| 593 | D12 | — | 9 | 1 | no | — |
| 594 | D12 | — | 18 | 1 | no | — |
| 595 | C4×D3 | — | 18 | 1 | no | — |
| 596 | Dic6 | — | 3 | 1 | no | — |
| 597 | C3×C8 | — | 9 | 1 | no | — |
| 598 | C3×C8 | — | 27 | 1 | no | — |
| 599 | C3×C8 | — | 27 | 1 | no | — |
| 600 | C3×C8 | — | 27 | 3 | no | — |
| 601 | C3⋊C8 | — | 3 | 1 | no | — |
| 602 | C3⋊C8 | — | 9 | 1 | no | — |
| 603 | C2×C32 | — | 3 | 1 | no | — |
| 604 | C2×C32 | — | 3 | 1 | no | — |
| 605 | C2×C32 | — | 6 | 1 | no | — |
| 606 | C2×C32 | — | 18 | 1 | no | — |
| 607 | C2×C32 | — | 18 | 3 | no | — |
| 608 | C2×C32 | — | 18 | 1 | no | — |
| 609 | C2×C32 | — | 36 | 1 | no | — |
| 610 | C2×C32 | — | 36 | 3 | no | — |
| 611 | C2×C32 | — | 108 | 1 | no | — |
| 612 | C2×C32 | C3×A4×S4 | 1 | 1 | yes | characteristic |
| 613 | C3×D3 | — | 36 | 3 | no | — |
| 614 | C3×D3 | — | 36 | 1 | no | — |
| 615 | C2×C9 | — | 4 | 1 | no | — |
| 616 | C2×C9 | — | 4 | 1 | no | — |
| 617 | C2×C9 | — | 8 | 1 | no | — |
| 618 | C2×C9 | — | 8 | 1 | no | — |
| 619 | C2×C9 | — | 12 | 2 | no | — |
| 620 | C2×C9 | — | 24 | 1 | no | — |
| 621 | C2×C9 | — | 32 | 3 | no | — |
| 622 | C2×C9 | — | 96 | 2 | no | — |
| 623 | D9 | — | 24 | 1 | no | — |
| 624 | #41 | — | 3 | 1 | no | — |
| 625 | #41 | — | 3 | 1 | no | — |
| 626 | #41 | — | 18 | 1 | no | — |
| 627 | #41 | — | 27 | 1 | no | — |
| 628 | C2×D4 | — | 9 | 1 | no | — |
| 629 | C2×D4 | — | 27 | 1 | no | — |
| 630 | C2×D4 | — | 54 | 1 | no | — |
| 631 | Q16 | — | 9 | 1 | no | — |
| 632 | SD16 | — | 27 | 1 | no | — |
| 633 | SD16 | — | 27 | 1 | no | — |
| 634 | D8 | — | 27 | 1 | no | — |
| 635 | D8 | — | 27 | 2 | no | — |
| 636 | M16 | — | 27 | 1 | no | — |
| 637 | C2×C8 | — | 27 | 1 | no | — |
| 638 | C22×C3 | — | 9 | 3 | no | — |
| 639 | C22×C3 | — | 9 | 1 | no | — |
| 640 | C22×C3 | — | 9 | 1 | no | — |
| 641 | C22×C3 | — | 18 | 1 | no | — |
| 642 | C22×C3 | — | 18 | 3 | no | — |
| 643 | C22×C3 | — | 24 | 1 | no | — |
| 644 | C22×C3 | — | 24 | 1 | no | — |
| 645 | C22×C3 | — | 24 | 1 | no | — |
| 646 | C22×C3 | — | 24 | 1 | no | — |
| 647 | C22×C3 | — | 54 | 3 | no | — |
| 648 | C22×C3 | — | 54 | 1 | no | — |
| 649 | C22×C3 | — | 72 | 3 | no | — |
| 650 | C22×C3 | — | 216 | 1 | no | — |
| 651 | C22×C3 | — | 216 | 3 | no | — |
| 652 | C2×D3 | — | 18 | 1 | no | — |
| 653 | C2×D3 | — | 72 | 1 | no | — |
| 654 | C3×C4 | — | 3 | 1 | no | — |
| 655 | C3×C4 | — | 3 | 1 | no | — |
| 656 | C3×C4 | — | 3 | 1 | no | — |
| 657 | C3×C4 | — | 3 | 1 | no | — |
| 658 | C3×C4 | — | 6 | 1 | no | — |
| 659 | C3×C4 | — | 6 | 1 | no | — |
| 660 | C3×C4 | — | 9 | 1 | no | — |
| 661 | C3×C4 | — | 9 | 3 | no | — |
| 662 | C3×C4 | — | 18 | 1 | no | — |
| 663 | C3×C4 | — | 18 | 1 | no | — |
| 664 | C3×C4 | — | 54 | 1 | no | — |
| 665 | Dic3 | — | 6 | 1 | no | — |
| 666 | C32 | — | 3 | 1 | no | — |
| 667 | C32 | — | 3 | 1 | no | — |
| 668 | C32 | — | 6 | 1 | no | — |
| 669 | C32 | C3×#226⋊A4 | 1 | 1 | yes | characteristic |
| 670 | C9 | — | 4 | 1 | no | — |
| 671 | C9 | — | 4 | 1 | no | — |
| 672 | C9 | — | 8 | 1 | no | — |
| 673 | C9 | — | 8 | 1 | no | — |
| 674 | C9 | — | 12 | 2 | no | — |
| 675 | C9 | — | 24 | 1 | no | — |
| 676 | C9 | — | 32 | 3 | no | — |
| 677 | C9 | — | 96 | 2 | no | — |
| 678 | C23 | — | 6 | 1 | no | — |
| 679 | C23 | — | 54 | 1 | no | — |
| 680 | Q8 | — | 9 | 1 | no | — |
| 681 | Q8 | #14517984 | 1 | 1 | yes | characteristic |
| 682 | Q8 | #14518201 | 1 | 1 | yes | characteristic |
| 683 | D4 | — | 9 | 1 | no | — |
| 684 | D4 | — | 9 | 1 | no | — |
| 685 | D4 | — | 27 | 1 | no | — |
| 686 | D4 | — | 54 | 1 | no | — |
| 687 | D4 | — | 54 | 1 | no | — |
| 688 | C2×C4 | — | 9 | 1 | no | — |
| 689 | C2×C4 | — | 54 | 1 | no | — |
| 690 | C8 | — | 9 | 1 | no | — |
| 691 | C8 | — | 27 | 1 | no | — |
| 692 | C2×C3 | — | 2 | 1 | no | — |
| 693 | C2×C3 | — | 9 | 1 | no | — |
| 694 | C2×C3 | — | 18 | 3 | no | — |
| 695 | C2×C3 | — | 18 | 1 | no | — |
| 696 | C2×C3 | — | 18 | 1 | no | — |
| 697 | C2×C3 | — | 36 | 1 | no | — |
| 698 | C2×C3 | — | 36 | 3 | no | — |
| 699 | C2×C3 | — | 108 | 3 | no | — |
| 700 | C2×C3 | — | 108 | 1 | no | — |
| 701 | C2×C3 | S4×#1094 | 1 | 1 | yes | characteristic |
| 702 | C2×C3 | A4×((C22⋊C9)⋊C2)⋊C3 | 1 | 1 | yes | characteristic |
| 703 | D3 | — | 36 | 1 | no | — |
| 704 | C22 | — | 9 | 1 | no | — |
| 705 | C22 | — | 24 | 1 | no | — |
| 706 | C22 | — | 54 | 1 | no | — |
| 707 | C22 | — | 216 | 1 | no | — |
| 708 | C4 | — | 3 | 1 | no | — |
| 709 | C4 | — | 3 | 1 | no | — |
| 710 | C4 | — | 18 | 1 | no | — |
| 711 | C3 | — | 2 | 1 | no | — |
| 712 | C3 | — | 9 | 1 | no | — |
| 713 | C3 | #72253021 | 1 | 1 | yes | characteristic |
| 714 | C3 | #72253022 | 1 | 1 | yes | characteristic |
| 715 | C2 | — | 18 | 1 | no | — |
| 716 | C2 | — | 108 | 1 | no | — |
| 717 | C2 | #72220173 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #72252994 | C3 | semidirect |
| 10. #72252982 | C3 | semidirect |
| 11. #72245041 | C2 | semidirect |
| 13. #72244993 | C2×C3 | semidirect |
| 18. #72244951 | C2×C3 | semidirect |
| 89. #10593100 | 3−1+2 | semidirect |
| 167. #63700 | AGL(1,ℤ/9) | semidirect |
| 292. #3688 | #1094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72253019 | 4 |
| #72253018 | 4 |
| #72253017 | 3 |
| #72252994 | 3 |
| C3×#13164434 | 3 |
| #72252982 | 3 |
| #72245041 | 2 |