Finite Group DatabasebetaFinite Group DatabasebetaOrder 10368.
5321 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 5321 conjugacy classes of subgroups — too many to draw. Only its 143 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 | #72220568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72220564 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72220563 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72220550 | — | 2 | 1 | no | — |
| 5 | #72220550 | C22 | 1 | 1 | yes | characteristic, complemented |
| 6 | #72220323 | — | 2 | 1 | no | — |
| 7 | C22×#13049813 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #72220299 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C22×#10620198 | C22 | 1 | 1 | yes | characteristic |
| 10 | C22×#10620215 | — | 2 | 1 | no | — |
| 11 | #72220241 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | #72219724 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #72219721 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #72219710 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #72219702 | C22 | 1 | 4 | yes | complemented |
| 16 | #72219700 | C22 | 1 | 2 | yes | complemented |
| 17 | #72213877 | — | 2 | 1 | no | — |
| 18 | #72213877 | C22 | 1 | 2 | yes | complemented |
| 19 | #72213864 | — | 2 | 1 | no | — |
| 20 | #72213864 | C22 | 1 | 2 | yes | complemented |
| 21 | C2×#72210346 | C2 | 1 | 2 | yes | maximal, complemented |
| 22 | C2×#13049788 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×#13049813 | — | 2 | 1 | no | — |
| 24 | C2×#13049813 | — | 2 | 1 | no | — |
| 25 | C2×#13049813 | — | 2 | 8 | no | — |
| 26 | C2×#13049813 | C22 | 1 | 2 | yes | — |
| 27 | C2×#13049813 | C22 | 1 | 2 | yes | — |
| 28 | #72213750 | C22 | 1 | 4 | yes | complemented |
| 29 | C22×#10620206 | — | 2 | 1 | no | — |
| 30 | C22×#10620206 | C22 | 1 | 2 | yes | — |
| 31 | C2×#13049804 | C22 | 1 | 4 | yes | complemented |
| 32 | C2×#13049818 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#13049803 | C22 | 1 | 4 | yes | complemented |
| 34 | #72210346 | — | 2 | 8 | no | — |
| 35 | C22×C3⋊D32 | — | 2 | 2 | no | — |
| 36 | C22×C3⋊D32 | D4 | 1 | 1 | yes | characteristic |
| 37 | C22×C3×#1113 | — | 4 | 2 | no | — |
| 38 | C22×#66472 | D4 | 1 | 1 | yes | characteristic |
| 39 | C22×#66472 | C23 | 1 | 1 | yes | characteristic |
| 40 | C2×#10620215 | — | 2 | 8 | no | — |
| 41 | C2×#10620215 | — | 2 | 2 | no | — |
| 42 | C2×#10620215 | — | 2 | 2 | no | — |
| 43 | C2×#10620215 | — | 4 | 4 | no | — |
| 44 | C2×#10620215 | — | 4 | 2 | no | — |
| 45 | C2×#10620211 | — | 2 | 1 | no | — |
| 46 | C2×#10620211 | C23 | 1 | 2 | yes | complemented |
| 47 | C2×#10620206 | — | 2 | 8 | no | — |
| 48 | C2×#10620206 | — | 2 | 2 | no | — |
| 49 | C2×#10620206 | — | 2 | 2 | no | — |
| 50 | C2×#10620206 | — | 2 | 2 | no | — |
| 51 | C2×#10620206 | — | 2 | 8 | no | — |
| 52 | C2×#10620206 | C23 | 1 | 4 | yes | — |
| 53 | C2×#10620198 | — | 2 | 4 | no | — |
| 54 | C2×#10620198 | — | 2 | 1 | no | — |
| 55 | C2×#10620198 | — | 2 | 1 | no | — |
| 56 | C2×#10620198 | D4 | 1 | 1 | yes | characteristic |
| 57 | C2×#10620198 | D4 | 1 | 1 | yes | characteristic |
| 58 | C2×#10620198 | C23 | 1 | 1 | yes | characteristic |
| 59 | C2×#10620198 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×#10620193 | C23 | 1 | 2 | yes | complemented |
| 61 | C2×#10620192 | C23 | 1 | 2 | yes | complemented |
| 62 | #13049818 | — | 2 | 4 | no | — |
| 63 | #13049813 | — | 2 | 8 | no | — |
| 64 | #13049813 | — | 2 | 8 | no | — |
| 65 | #13049813 | — | 2 | 8 | no | — |
| 66 | #13049813 | — | 2 | 4 | no | — |
| 67 | #13049813 | D4 | 1 | 8 | yes | — |
| 68 | #13049804 | — | 2 | 8 | no | — |
| 69 | #13049803 | — | 2 | 8 | no | — |
| 70 | #13049788 | — | 2 | 4 | no | — |
| 71 | C22⋊#66472 | — | 2 | 2 | no | — |
| 72 | #13049467 | — | 2 | 1 | no | — |
| 73 | #13049467 | — | 2 | 2 | no | — |
| 74 | #13049467 | — | 2 | 2 | no | — |
| 75 | #13049467 | C23 | 1 | 2 | yes | complemented |
| 76 | #13049410 | — | 2 | 2 | no | — |
| 77 | C2×#10596417 | — | 9 | 2 | no | maximal |
| 78 | C22×D33 | — | 12 | 2 | no | — |
| 79 | C22×C3⋊(C3⋊(C3⋊D3)) | C2×D4 | 1 | 1 | yes | characteristic |
| 80 | C22×C32×C3⋊D3 | — | 4 | 2 | no | — |
| 81 | C22×C32×C3⋊D3 | SD16 | 1 | 2 | yes | complemented |
| 82 | C2×C3⋊D32 | — | 2 | 2 | no | — |
| 83 | C2×C3⋊D32 | — | 2 | 2 | no | — |
| 84 | C2×C3⋊D32 | — | 2 | 8 | no | — |
| 85 | C2×C3⋊D32 | — | 2 | 4 | no | — |
| 86 | C2×C3⋊D32 | — | 4 | 4 | no | — |
| 87 | C2×C3⋊D32 | — | 4 | 2 | no | — |
| 88 | C2×C3⋊D32 | SD16 | 1 | 2 | yes | complemented |
| 89 | C2×C3⋊D32 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C2×C3⋊D32 | C2×D4 | 1 | 1 | yes | characteristic |
| 91 | C2×C3×#1113 | — | 4 | 16 | no | — |
| 92 | C2×C3×#1113 | — | 4 | 4 | no | — |
| 93 | C2×C3×#1113 | — | 4 | 4 | no | — |
| 94 | C2×#66472 | — | 2 | 2 | no | — |
| 95 | C2×#66472 | — | 2 | 2 | no | — |
| 96 | C2×#66472 | — | 2 | 2 | no | — |
| 97 | C2×#66472 | — | 2 | 2 | no | — |
| 98 | C2×#66472 | C2×D4 | 1 | 1 | yes | characteristic |
| 99 | C2×#66472 | C2×D4 | 1 | 1 | yes | characteristic |
| 100 | C2×#66472 | C2×D4 | 1 | 1 | yes | characteristic |
| 101 | C2×#66472 | C24 | 1 | 1 | yes | characteristic |
| 102 | #10620215 | — | 2 | 8 | no | — |
| 103 | #10620215 | — | 2 | 8 | no | — |
| 104 | #10620215 | — | 4 | 4 | no | — |
| 105 | #10620215 | — | 4 | 16 | no | — |
| 106 | #10620215 | — | 4 | 4 | no | — |
| 107 | #10620211 | — | 2 | 4 | no | — |
| 108 | #10620211 | — | 4 | 2 | no | — |
| 109 | #10620206 | — | 2 | 8 | no | — |
| 110 | #10620206 | — | 2 | 8 | no | — |
| 111 | #10620206 | — | 2 | 8 | no | — |
| 112 | #10620206 | — | 2 | 4 | no | — |
| 113 | #10620206 | C2×D4 | 1 | 8 | yes | — |
| 114 | #10620198 | — | 2 | 2 | no | — |
| 115 | #10620198 | — | 2 | 2 | no | — |
| 116 | #10620198 | — | 2 | 2 | no | — |
| 117 | #10620198 | — | 4 | 2 | no | — |
| 118 | #10620198 | — | 4 | 2 | no | — |
| 119 | #10620198 | C2×D4 | 1 | 4 | yes | — |
| 120 | #10620193 | — | 2 | 2 | no | — |
| 121 | #10620192 | — | 2 | 2 | no | — |
| 122 | C23×GO+(4,𝔽2) | — | 9 | 2 | no | — |
| 123 | C22×AΓL(1,𝔽9) | — | 9 | 4 | no | — |
| 124 | C2×C22⋊PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 125 | C2×C22⋊AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 126 | #10596417 | — | 9 | 8 | no | — |
| 127 | #10596417 | — | 9 | 4 | no | — |
| 128 | #10596417 | — | 9 | 4 | no | — |
| 129 | #10596417 | — | 18 | 2 | no | — |
| 130 | C2×GO+(4,𝔽2)⋊C4 | — | 9 | 4 | no | — |
| 131 | C22×#1113 | — | 4 | 2 | no | — |
| 132 | C22×D3×C3⋊D3 | — | 12 | 4 | no | — |
| 133 | C22×D3×C3⋊D3 | — | 12 | 2 | no | — |
| 134 | C22×D3×C3⋊D3 | — | 24 | 2 | no | — |
| 135 | C22×C3×D32 | — | 12 | 4 | no | — |
| 136 | C22×C3×D32 | — | 12 | 2 | no | — |
| 137 | C2×D33 | — | 12 | 4 | no | — |
| 138 | C2×D33 | — | 12 | 4 | no | — |
| 139 | C2×D33 | — | 12 | 16 | no | — |
| 140 | C2×D33 | — | 12 | 4 | no | — |
| 141 | C2×D33 | — | 12 | 4 | no | — |
| 142 | C2×D33 | — | 12 | 16 | no | — |
| 143 | C22×C34 | C2×SD16 | 1 | 1 | yes | characteristic, complemented |
| 144 | C2×C3⋊(C3⋊(C3⋊D3)) | — | 2 | 1 | no | — |
| 145 | C2×C3⋊(C3⋊(C3⋊D3)) | — | 2 | 1 | no | — |
| 146 | C2×C3⋊(C3⋊(C3⋊D3)) | C2×SD16 | 1 | 1 | yes | characteristic, complemented |
| 147 | C2×C3⋊(C3⋊(C3⋊D3)) | C22×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×C32×C3⋊D3 | — | 2 | 4 | no | — |
| 149 | C2×C32×C3⋊D3 | — | 4 | 8 | no | — |
| 150 | C2×C32×C3⋊D3 | — | 4 | 4 | no | — |
| 151 | C2×C32×C3⋊D3 | C2×SD16 | 1 | 2 | yes | — |
| 152 | C2×C32×C3⋊D3 | C2×SD16 | 1 | 2 | yes | complemented |
| 153 | C3⋊D32 | — | 2 | 1 | no | — |
| 154 | C3⋊D32 | — | 2 | 1 | no | — |
| 155 | C3⋊D32 | — | 2 | 4 | no | — |
| 156 | C3⋊D32 | — | 2 | 8 | no | — |
| 157 | C3⋊D32 | — | 4 | 8 | no | — |
| 158 | C3⋊D32 | — | 4 | 4 | no | — |
| 159 | C3⋊D32 | #120 | 1 | 2 | yes | — |
| 160 | C3⋊D32 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 161 | C3×#1113 | — | 4 | 16 | no | — |
| 162 | C3×#1113 | — | 4 | 16 | no | — |
| 163 | #66472 | — | 2 | 1 | no | — |
| 164 | #66472 | — | 2 | 1 | no | — |
| 165 | #66472 | — | 4 | 2 | no | — |
| 166 | #66472 | — | 4 | 2 | no | — |
| 167 | #66472 | #120 | 1 | 2 | yes | — |
| 168 | #66472 | C22×D4 | 1 | 2 | yes | — |
| 169 | C23×D32 | — | 18 | 2 | no | — |
| 170 | C23×D32 | — | 36 | 2 | no | — |
| 171 | C23×#157 | — | 9 | 2 | no | — |
| 172 | C22×PSU(3,𝔽2) | — | 9 | 2 | no | — |
| 173 | C22×GO+(4,𝔽2) | — | 9 | 4 | no | — |
| 174 | C22×GO+(4,𝔽2) | — | 9 | 4 | no | — |
| 175 | C22×GO+(4,𝔽2) | — | 9 | 4 | no | — |
| 176 | C22×GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 177 | C22×GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 178 | C22×GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 179 | C22×GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 180 | C22×GO+(4,𝔽2) | — | 18 | 2 | no | — |
| 181 | C22×GO+(4,𝔽2) | — | 36 | 1 | no | — |
| 182 | C22×AGL(1,𝔽9) | — | 9 | 4 | no | — |
| 183 | C2×AΓL(1,𝔽9) | — | 9 | 8 | no | — |
| 184 | C2×AΓL(1,𝔽9) | — | 9 | 8 | no | — |
| 185 | C2×AΓL(1,𝔽9) | — | 18 | 16 | no | — |
| 186 | C2×AΓL(1,𝔽9) | — | 18 | 4 | no | — |
| 187 | C2×C22⋊#157 | — | 18 | 2 | no | — |
| 188 | C22⋊PSU(3,𝔽2) | — | 9 | 4 | no | — |
| 189 | C22⋊PSU(3,𝔽2) | — | 9 | 4 | no | — |
| 190 | C22⋊PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 191 | C22⋊PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 192 | C22⋊PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 193 | C22⋊PSU(3,𝔽2) | — | 36 | 1 | no | — |
| 194 | C2×#3777 | — | 9 | 2 | no | — |
| 195 | C2×#3777 | — | 18 | 2 | no | — |
| 196 | C22⋊AGL(1,𝔽9) | — | 9 | 4 | no | — |
| 197 | C22⋊AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 198 | C22⋊AGL(1,𝔽9) | — | 9 | 2 | no | — |
| 199 | C22⋊AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 200 | C22⋊AGL(1,𝔽9) | — | 36 | 1 | no | — |
| 201 | GO+(4,𝔽2)⋊C4 | — | 9 | 8 | no | — |
| 202 | GO+(4,𝔽2)⋊C4 | — | 9 | 8 | no | — |
| 203 | GO+(4,𝔽2)⋊C4 | — | 18 | 4 | no | — |
| 204 | C22×C3⋊(C3⋊D3) | — | 12 | 2 | no | — |
| 205 | C22×C3⋊(C3⋊D3) | — | 24 | 2 | no | — |
| 206 | C22×C3⋊(C3⋊D3) | — | 48 | 1 | no | — |
| 207 | C22×C3×C3⋊D3 | — | 4 | 4 | no | — |
| 208 | C22×C3×C3⋊D3 | — | 4 | 2 | no | — |
| 209 | C22×C3×C3⋊D3 | — | 8 | 2 | no | — |
| 210 | C22×C32×D3 | — | 12 | 2 | no | — |
| 211 | C22×C32×D3 | — | 12 | 4 | no | — |
| 212 | C22×C32×D3 | — | 24 | 2 | no | — |
| 213 | C2×#1113 | — | 4 | 16 | no | — |
| 214 | C2×#1113 | — | 4 | 4 | no | — |
| 215 | C2×#1113 | — | 4 | 4 | no | — |
| 216 | C2×D3×C3⋊D3 | — | 12 | 8 | no | — |
| 217 | C2×D3×C3⋊D3 | — | 12 | 16 | no | — |
| 218 | C2×D3×C3⋊D3 | — | 12 | 2 | no | — |
| 219 | C2×D3×C3⋊D3 | — | 12 | 2 | no | — |
| 220 | C2×D3×C3⋊D3 | — | 12 | 2 | no | — |
| 221 | C2×D3×C3⋊D3 | — | 12 | 2 | no | — |
| 222 | C2×D3×C3⋊D3 | — | 12 | 8 | no | — |
| 223 | C2×D3×C3⋊D3 | — | 12 | 8 | no | — |
| 224 | C2×D3×C3⋊D3 | — | 12 | 8 | no | — |
| 225 | C2×D3×C3⋊D3 | — | 12 | 16 | no | — |
| 226 | C2×D3×C3⋊D3 | — | 24 | 4 | no | — |
| 227 | C2×D3×C3⋊D3 | — | 24 | 8 | no | — |
| 228 | C2×D3×C3⋊D3 | — | 24 | 4 | no | — |
| 229 | C2×D3×C3⋊D3 | — | 24 | 8 | no | — |
| 230 | C2×C3×D32 | — | 12 | 8 | no | — |
| 231 | C2×C3×D32 | — | 12 | 8 | no | — |
| 232 | C2×C3×D32 | — | 12 | 32 | no | — |
| 233 | C2×C3×D32 | — | 12 | 16 | no | — |
| 234 | C2×C3×D32 | — | 12 | 4 | no | — |
| 235 | C2×C3×D32 | — | 12 | 4 | no | — |
| 236 | D33 | — | 12 | 16 | no | — |
| 237 | D33 | — | 12 | 16 | no | — |
| 238 | D33 | — | 12 | 16 | no | — |
| 239 | D33 | — | 12 | 32 | no | — |
| 240 | D33 | — | 12 | 16 | no | — |
| 241 | D33 | — | 12 | 32 | no | — |
| 242 | C2×C34 | — | 2 | 1 | no | — |
| 243 | C2×C34 | C22×SD16 | 1 | 1 | yes | characteristic |
| 244 | C3⋊(C3⋊(C3⋊D3)) | — | 2 | 1 | no | — |
| 245 | C3⋊(C3⋊(C3⋊D3)) | C2×#120 | 1 | 1 | yes | characteristic |
| 246 | C3⋊(C3⋊(C3⋊D3)) | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 247 | C32×C3⋊D3 | — | 2 | 2 | no | — |
| 248 | C32×C3⋊D3 | — | 4 | 8 | no | — |
| 249 | C32×C3⋊D3 | #450 | 1 | 4 | yes | complemented |
| 250 | C23×C3⋊D3 | — | 9 | 2 | no | — |
| 251 | C23×C3⋊D3 | — | 36 | 2 | no | — |
| 252 | C23×C3×D3 | — | 36 | 2 | no | — |
| 253 | C23×C3×D3 | — | 36 | 4 | no | — |
| 254 | C22×D32 | — | 12 | 4 | no | — |
| 255 | C22×D32 | — | 12 | 2 | no | — |
| 256 | C22×D32 | — | 18 | 4 | no | — |
| 257 | C22×D32 | — | 18 | 4 | no | — |
| 258 | C22×D32 | — | 18 | 16 | no | — |
| 259 | C22×D32 | — | 18 | 4 | no | — |
| 260 | C22×D32 | — | 36 | 2 | no | — |
| 261 | C22×D32 | — | 36 | 2 | no | — |
| 262 | C22×D32 | — | 36 | 8 | no | — |
| 263 | C22×D32 | — | 36 | 8 | no | — |
| 264 | C22×D32 | — | 36 | 16 | no | — |
| 265 | C22×D32 | — | 36 | 4 | no | — |
| 266 | C22×D32 | — | 36 | 4 | no | — |
| 267 | C22×D32 | — | 36 | 16 | no | — |
| 268 | C22×D32 | — | 36 | 2 | no | — |
| 269 | C22×D32 | — | 36 | 2 | no | — |
| 270 | C22×D32 | — | 36 | 2 | no | — |
| 271 | C22×D32 | — | 36 | 2 | no | — |
| 272 | C22×D32 | — | 72 | 1 | no | — |
| 273 | C22×D32 | — | 72 | 4 | no | — |
| 274 | C22×#157 | — | 9 | 2 | no | — |
| 275 | C22×#157 | — | 9 | 2 | no | — |
| 276 | C22×#157 | — | 9 | 2 | no | — |
| 277 | C22×#157 | — | 9 | 2 | no | — |
| 278 | C22×#157 | — | 9 | 2 | no | — |
| 279 | C22×#157 | — | 9 | 2 | no | — |
| 280 | C22×#157 | — | 18 | 2 | no | — |
| 281 | C22×#157 | — | 18 | 8 | no | — |
| 282 | C22×#157 | — | 18 | 2 | no | — |
| 283 | C22×#157 | — | 18 | 2 | no | — |
| 284 | C22×#157 | — | 36 | 1 | no | — |
| 285 | C22×#157 | — | 36 | 1 | no | — |
| 286 | C22×#157 | — | 36 | 1 | no | — |
| 287 | C2×PSU(3,𝔽2) | — | 9 | 4 | no | — |
| 288 | C2×PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 289 | C2×PSU(3,𝔽2) | — | 18 | 8 | no | — |
| 290 | C2×PSU(3,𝔽2) | — | 18 | 2 | no | — |
| 291 | C2×PSU(3,𝔽2) | — | 36 | 1 | no | — |
| 292 | C2×GO+(4,𝔽2) | — | 9 | 8 | no | — |
| 293 | C2×GO+(4,𝔽2) | — | 9 | 16 | no | — |
| 294 | C2×GO+(4,𝔽2) | — | 18 | 4 | no | — |
| 295 | C2×GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 296 | C2×GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 297 | C2×GO+(4,𝔽2) | — | 18 | 4 | no | — |
| 298 | C2×GO+(4,𝔽2) | — | 18 | 4 | no | — |
| 299 | C2×GO+(4,𝔽2) | — | 18 | 4 | no | — |
| 300 | C2×GO+(4,𝔽2) | — | 18 | 8 | no | — |
| 301 | C2×GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 302 | C2×GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 303 | C2×GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 304 | C2×GO+(4,𝔽2) | — | 36 | 8 | no | — |
| 305 | C2×GO+(4,𝔽2) | — | 36 | 2 | no | — |
| 306 | C2×GO+(4,𝔽2) | — | 36 | 2 | no | — |
| 307 | C2×GO+(4,𝔽2) | — | 36 | 2 | no | — |
| 308 | C2×GO+(4,𝔽2) | — | 36 | 8 | no | — |
| 309 | C2×AGL(1,𝔽9) | — | 9 | 4 | no | — |
| 310 | C2×AGL(1,𝔽9) | — | 9 | 4 | no | — |
| 311 | C2×AGL(1,𝔽9) | — | 18 | 4 | no | — |
| 312 | C2×AGL(1,𝔽9) | — | 18 | 8 | no | — |
| 313 | C2×AGL(1,𝔽9) | — | 36 | 2 | no | — |
| 314 | AΓL(1,𝔽9) | — | 18 | 16 | no | — |
| 315 | AΓL(1,𝔽9) | — | 18 | 16 | no | — |
| 316 | AΓL(1,𝔽9) | — | 36 | 8 | no | — |
| 317 | C22⋊#157 | — | 18 | 4 | no | — |
| 318 | C22⋊#157 | — | 18 | 4 | no | — |
| 319 | C22⋊#157 | — | 36 | 2 | no | — |
| 320 | C22⋊#157 | — | 36 | 2 | no | — |
| 321 | C22⋊#157 | — | 72 | 2 | no | — |
| 322 | #3777 | — | 9 | 4 | no | — |
| 323 | #3777 | — | 18 | 2 | no | — |
| 324 | #3777 | — | 18 | 2 | no | — |
| 325 | #3777 | — | 18 | 4 | no | — |
| 326 | #3777 | — | 18 | 4 | no | — |
| 327 | #3777 | — | 36 | 2 | no | — |
| 328 | #3777 | — | 36 | 1 | no | — |
| 329 | #3777 | — | 36 | 2 | no | — |
| 330 | C2×#450 | — | 81 | 1 | no | Sylow |
| 331 | C22×C33 | — | 4 | 2 | no | — |
| 332 | C22×C33 | — | 8 | 2 | no | — |
| 333 | C22×C33 | — | 16 | 1 | no | — |
| 334 | C2×C3⋊(C3⋊D3) | — | 12 | 2 | no | — |
| 335 | C2×C3⋊(C3⋊D3) | — | 12 | 2 | no | — |
| 336 | C2×C3⋊(C3⋊D3) | — | 12 | 4 | no | — |
| 337 | C2×C3⋊(C3⋊D3) | — | 12 | 4 | no | — |
| 338 | C2×C3⋊(C3⋊D3) | — | 24 | 2 | no | — |
| 339 | C2×C3⋊(C3⋊D3) | — | 24 | 2 | no | — |
| 340 | C2×C3⋊(C3⋊D3) | — | 24 | 4 | no | — |
| 341 | C2×C3⋊(C3⋊D3) | — | 24 | 4 | no | — |
| 342 | C2×C3⋊(C3⋊D3) | — | 48 | 1 | no | — |
| 343 | C2×C3⋊(C3⋊D3) | — | 48 | 1 | no | — |
| 344 | C2×C3⋊(C3⋊D3) | — | 48 | 2 | no | — |
| 345 | C2×C3⋊(C3⋊D3) | — | 48 | 2 | no | — |
| 346 | C2×C3×C3⋊D3 | — | 4 | 8 | no | — |
| 347 | C2×C3×C3⋊D3 | — | 4 | 16 | no | — |
| 348 | C2×C3×C3⋊D3 | — | 4 | 8 | no | — |
| 349 | C2×C3×C3⋊D3 | — | 4 | 2 | no | — |
| 350 | C2×C3×C3⋊D3 | — | 4 | 2 | no | — |
| 351 | C2×C3×C3⋊D3 | — | 8 | 4 | no | — |
| 352 | C2×C3×C3⋊D3 | — | 8 | 8 | no | — |
| 353 | C2×C32×D3 | — | 12 | 2 | no | — |
| 354 | C2×C32×D3 | — | 12 | 2 | no | — |
| 355 | C2×C32×D3 | — | 12 | 8 | no | — |
| 356 | C2×C32×D3 | — | 12 | 16 | no | — |
| 357 | C2×C32×D3 | — | 12 | 8 | no | — |
| 358 | C2×C32×D3 | — | 24 | 4 | no | — |
| 359 | C2×C32×D3 | — | 24 | 8 | no | — |
| 360 | #1113 | — | 4 | 16 | no | — |
| 361 | #1113 | — | 4 | 16 | no | — |
| 362 | D3×C3⋊D3 | — | 12 | 16 | no | — |
| 363 | D3×C3⋊D3 | — | 12 | 4 | no | — |
| 364 | D3×C3⋊D3 | — | 12 | 4 | no | — |
| 365 | D3×C3⋊D3 | — | 12 | 8 | no | — |
| 366 | D3×C3⋊D3 | — | 12 | 4 | no | — |
| 367 | D3×C3⋊D3 | — | 12 | 4 | no | — |
| 368 | D3×C3⋊D3 | — | 12 | 8 | no | — |
| 369 | D3×C3⋊D3 | — | 12 | 16 | no | — |
| 370 | D3×C3⋊D3 | — | 12 | 32 | no | — |
| 371 | D3×C3⋊D3 | — | 24 | 8 | no | — |
| 372 | D3×C3⋊D3 | — | 24 | 8 | no | — |
| 373 | D3×C3⋊D3 | — | 24 | 16 | no | — |
| 374 | C3×D32 | — | 12 | 32 | no | — |
| 375 | C3×D32 | — | 12 | 32 | no | — |
| 376 | C3×D32 | — | 12 | 16 | no | — |
| 377 | C3×D32 | — | 12 | 16 | no | — |
| 378 | C24×D3 | — | 108 | 2 | no | — |
| 379 | C34 | C2×#450 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 380 | C23×C32 | — | 9 | 2 | no | — |
| 381 | C23×C32 | — | 36 | 2 | no | — |
| 382 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 383 | C22×C3⋊D3 | — | 9 | 2 | no | — |
| 384 | C22×C3⋊D3 | — | 9 | 2 | no | — |
| 385 | C22×C3⋊D3 | — | 9 | 2 | no | — |
| 386 | C22×C3⋊D3 | — | 9 | 2 | no | — |
| 387 | C22×C3⋊D3 | — | 9 | 2 | no | — |
| 388 | C22×C3⋊D3 | — | 18 | 4 | no | — |
| 389 | C22×C3⋊D3 | — | 18 | 4 | no | — |
| 390 | C22×C3⋊D3 | — | 18 | 2 | no | — |
| 391 | C22×C3⋊D3 | — | 36 | 4 | no | — |
| 392 | C22×C3⋊D3 | — | 36 | 8 | no | — |
| 393 | C22×C3⋊D3 | — | 36 | 4 | no | — |
| 394 | C22×C3⋊D3 | — | 36 | 8 | no | — |
| 395 | C22×C3⋊D3 | — | 36 | 2 | no | — |
| 396 | C22×C3⋊D3 | — | 36 | 1 | no | — |
| 397 | C22×C3⋊D3 | — | 36 | 1 | no | — |
| 398 | C22×C3⋊D3 | — | 36 | 1 | no | — |
| 399 | C22×C3⋊D3 | — | 72 | 1 | no | — |
| 400 | C22×C3⋊D3 | — | 72 | 4 | no | — |
| 401 | C22×C3⋊D3 | — | 72 | 2 | no | — |
| 402 | C22×C3⋊D3 | — | 144 | 2 | no | — |
| 403 | C22×C3⋊D3 | — | 144 | 1 | no | — |
| 404 | C22×C3⋊D3 | AΓL(1,𝔽9) | 1 | 2 | yes | complemented |
| 405 | C22×C3×D3 | — | 12 | 4 | no | — |
| 406 | C22×C3×D3 | — | 12 | 4 | no | — |
| 407 | C22×C3×D3 | — | 12 | 4 | no | — |
| 408 | C22×C3×D3 | — | 24 | 2 | no | — |
| 409 | C22×C3×D3 | — | 24 | 4 | no | — |
| 410 | C22×C3×D3 | — | 24 | 4 | no | — |
| 411 | C22×C3×D3 | — | 24 | 2 | no | — |
| 412 | C22×C3×D3 | — | 24 | 2 | no | — |
| 413 | C22×C3×D3 | — | 36 | 4 | no | — |
| 414 | C22×C3×D3 | — | 36 | 4 | no | — |
| 415 | C22×C3×D3 | — | 36 | 16 | no | — |
| 416 | C22×C3×D3 | — | 36 | 8 | no | — |
| 417 | C22×C3×D3 | — | 36 | 8 | no | — |
| 418 | C22×C3×D3 | — | 36 | 32 | no | — |
| 419 | C2×D32 | — | 12 | 16 | no | — |
| 420 | C2×D32 | — | 12 | 8 | no | — |
| 421 | C2×D32 | — | 12 | 8 | no | — |
| 422 | C2×D32 | — | 12 | 32 | no | — |
| 423 | C2×D32 | — | 12 | 4 | no | — |
| 424 | C2×D32 | — | 12 | 4 | no | — |
| 425 | C2×D32 | — | 18 | 16 | no | — |
| 426 | C2×D32 | — | 18 | 16 | no | — |
| 427 | C2×D32 | — | 18 | 8 | no | — |
| 428 | C2×D32 | — | 18 | 16 | no | — |
| 429 | C2×D32 | — | 36 | 8 | no | — |
| 430 | C2×D32 | — | 36 | 8 | no | — |
| 431 | C2×D32 | — | 36 | 16 | no | — |
| 432 | C2×D32 | — | 36 | 16 | no | — |
| 433 | C2×D32 | — | 36 | 16 | no | — |
| 434 | C2×D32 | — | 36 | 16 | no | — |
| 435 | C2×D32 | — | 36 | 64 | no | — |
| 436 | C2×D32 | — | 36 | 16 | no | — |
| 437 | C2×D32 | — | 36 | 16 | no | — |
| 438 | C2×D32 | — | 36 | 4 | no | — |
| 439 | C2×D32 | — | 36 | 8 | no | — |
| 440 | C2×D32 | — | 36 | 4 | no | — |
| 441 | C2×D32 | — | 36 | 8 | no | — |
| 442 | C2×D32 | — | 36 | 4 | no | — |
| 443 | C2×D32 | — | 36 | 2 | no | — |
| 444 | C2×D32 | — | 36 | 2 | no | — |
| 445 | C2×D32 | — | 36 | 4 | no | — |
| 446 | C2×D32 | — | 36 | 8 | no | — |
| 447 | C2×D32 | — | 36 | 8 | no | — |
| 448 | C2×D32 | — | 36 | 8 | no | — |
| 449 | C2×D32 | — | 36 | 4 | no | — |
| 450 | C2×D32 | — | 36 | 8 | no | — |
| 451 | C2×D32 | — | 36 | 4 | no | — |
| 452 | C2×D32 | — | 36 | 8 | no | — |
| 453 | C2×D32 | — | 72 | 2 | no | — |
| 454 | C2×D32 | — | 72 | 1 | no | — |
| 455 | C2×D32 | — | 72 | 1 | no | — |
| 456 | C2×D32 | — | 72 | 4 | no | — |
| 457 | C2×D32 | — | 72 | 4 | no | — |
| 458 | C2×D32 | — | 72 | 8 | no | — |
| 459 | C2×D32 | — | 72 | 16 | no | — |
| 460 | C2×D32 | — | 72 | 8 | no | — |
| 461 | C2×D32 | — | 72 | 16 | no | — |
| 462 | C2×D32 | — | 72 | 2 | no | — |
| 463 | C2×D32 | — | 72 | 4 | no | — |
| 464 | C2×D32 | — | 72 | 2 | no | — |
| 465 | C2×D32 | — | 72 | 4 | no | — |
| 466 | C2×#157 | — | 9 | 2 | no | — |
| 467 | C2×#157 | — | 9 | 8 | no | — |
| 468 | C2×#157 | — | 9 | 2 | no | — |
| 469 | C2×#157 | — | 9 | 2 | no | — |
| 470 | C2×#157 | — | 9 | 2 | no | — |
| 471 | C2×#157 | — | 18 | 2 | no | — |
| 472 | C2×#157 | — | 18 | 2 | no | — |
| 473 | C2×#157 | — | 18 | 4 | no | — |
| 474 | C2×#157 | — | 18 | 4 | no | — |
| 475 | C2×#157 | — | 18 | 4 | no | — |
| 476 | C2×#157 | — | 18 | 4 | no | — |
| 477 | C2×#157 | — | 18 | 4 | no | — |
| 478 | C2×#157 | — | 18 | 4 | no | — |
| 479 | C2×#157 | — | 18 | 4 | no | — |
| 480 | C2×#157 | — | 36 | 4 | no | — |
| 481 | C2×#157 | — | 36 | 4 | no | — |
| 482 | C2×#157 | — | 36 | 1 | no | — |
| 483 | C2×#157 | — | 36 | 1 | no | — |
| 484 | C2×#157 | — | 36 | 1 | no | — |
| 485 | C2×#157 | — | 36 | 1 | no | — |
| 486 | C2×#157 | — | 36 | 1 | no | — |
| 487 | C2×#157 | — | 36 | 1 | no | — |
| 488 | C2×#157 | — | 36 | 4 | no | — |
| 489 | C2×#157 | — | 36 | 4 | no | — |
| 490 | C2×#157 | — | 36 | 2 | no | — |
| 491 | C2×#157 | — | 36 | 2 | no | — |
| 492 | C2×#157 | — | 36 | 2 | no | — |
| 493 | C2×#157 | — | 36 | 2 | no | — |
| 494 | C2×#157 | — | 72 | 2 | no | — |
| 495 | C2×#157 | — | 72 | 2 | no | — |
| 496 | C2×#157 | — | 72 | 2 | no | — |
| 497 | C2×#157 | — | 72 | 2 | no | — |
| 498 | PSU(3,𝔽2) | — | 18 | 8 | no | — |
| 499 | PSU(3,𝔽2) | — | 36 | 4 | no | — |
| 500 | PSU(3,𝔽2) | — | 36 | 4 | no | — |
| 501 | PSU(3,𝔽2) | — | 72 | 2 | no | — |
| 502 | GO+(4,𝔽2) | — | 9 | 16 | no | — |
| 503 | GO+(4,𝔽2) | — | 18 | 8 | no | — |
| 504 | GO+(4,𝔽2) | — | 18 | 8 | no | — |
| 505 | GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 506 | GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 507 | GO+(4,𝔽2) | — | 18 | 16 | no | — |
| 508 | GO+(4,𝔽2) | — | 36 | 4 | no | — |
| 509 | GO+(4,𝔽2) | — | 36 | 8 | no | — |
| 510 | GO+(4,𝔽2) | — | 36 | 8 | no | — |
| 511 | GO+(4,𝔽2) | — | 36 | 8 | no | — |
| 512 | AGL(1,𝔽9) | — | 18 | 4 | no | — |
| 513 | AGL(1,𝔽9) | — | 18 | 4 | no | — |
| 514 | AGL(1,𝔽9) | — | 36 | 4 | no | — |
| 515 | AGL(1,𝔽9) | — | 72 | 2 | no | — |
| 516 | C23×D4 | — | 81 | 1 | no | — |
| 517 | C22×SD16 | — | 81 | 2 | no | — |
| 518 | C2×C22⋊Q8 | — | 81 | 1 | no | — |
| 519 | #450 | — | 81 | 2 | no | — |
| 520 | #450 | — | 81 | 4 | no | — |
| 521 | #450 | — | 81 | 2 | no | — |
| 522 | C2×#102 | — | 81 | 2 | no | — |
| 523 | C2×C22⋊C8 | — | 81 | 1 | no | — |
| 524 | C2×C33 | — | 4 | 4 | no | — |
| 525 | C2×C33 | — | 4 | 2 | no | — |
| 526 | C2×C33 | — | 8 | 2 | no | — |
| 527 | C2×C33 | — | 8 | 4 | no | — |
| 528 | C2×C33 | — | 16 | 1 | no | — |
| 529 | C2×C33 | — | 16 | 2 | no | — |
| 530 | C3⋊(C3⋊D3) | — | 12 | 2 | no | — |
| 531 | C3⋊(C3⋊D3) | — | 12 | 2 | no | — |
| 532 | C3⋊(C3⋊D3) | — | 12 | 4 | no | — |
| 533 | C3⋊(C3⋊D3) | — | 24 | 2 | no | — |
| 534 | C3⋊(C3⋊D3) | — | 24 | 2 | no | — |
| 535 | C3⋊(C3⋊D3) | — | 24 | 4 | no | — |
| 536 | C3⋊(C3⋊D3) | — | 48 | 1 | no | — |
| 537 | C3⋊(C3⋊D3) | — | 48 | 1 | no | — |
| 538 | C3⋊(C3⋊D3) | — | 48 | 2 | no | — |
| 539 | C3×C3⋊D3 | — | 4 | 4 | no | — |
| 540 | C3×C3⋊D3 | — | 4 | 16 | no | — |
| 541 | C3×C3⋊D3 | — | 4 | 4 | no | — |
| 542 | C3×C3⋊D3 | — | 8 | 8 | no | — |
| 543 | C32×D3 | — | 12 | 4 | no | — |
| 544 | C32×D3 | — | 12 | 4 | no | — |
| 545 | C32×D3 | — | 12 | 16 | no | — |
| 546 | C32×D3 | — | 24 | 8 | no | — |
| 547 | C24×C3 | — | 108 | 2 | no | — |
| 548 | C23×D3 | — | 36 | 4 | no | — |
| 549 | C23×D3 | — | 36 | 2 | no | — |
| 550 | C23×D3 | — | 108 | 4 | no | — |
| 551 | C23×D3 | — | 108 | 4 | no | — |
| 552 | C23×D3 | — | 108 | 16 | no | — |
| 553 | C23×D3 | — | 108 | 2 | no | — |
| 554 | C23×D3 | — | 108 | 4 | no | — |
| 555 | C23×D3 | — | 108 | 4 | no | — |
| 556 | C23×D3 | — | 108 | 4 | no | — |
| 557 | C23×D3 | — | 108 | 16 | no | — |
| 558 | C23×D3 | — | 216 | 2 | no | — |
| 559 | C22×C32 | — | 2 | 2 | no | — |
| 560 | C22×C32 | — | 4 | 2 | no | — |
| 561 | C22×C32 | — | 4 | 1 | no | — |
| 562 | C22×C32 | — | 4 | 1 | no | — |
| 563 | C22×C32 | — | 4 | 1 | no | — |
| 564 | C22×C32 | — | 8 | 1 | no | — |
| 565 | C22×C32 | — | 8 | 4 | no | — |
| 566 | C22×C32 | — | 8 | 2 | no | — |
| 567 | C22×C32 | — | 9 | 2 | no | — |
| 568 | C22×C32 | — | 9 | 2 | no | — |
| 569 | C22×C32 | — | 16 | 2 | no | — |
| 570 | C22×C32 | — | 16 | 1 | no | — |
| 571 | C22×C32 | — | 18 | 4 | no | — |
| 572 | C22×C32 | — | 36 | 8 | no | — |
| 573 | C22×C32 | — | 36 | 4 | no | — |
| 574 | C22×C32 | C2×AΓL(1,𝔽9) | 1 | 2 | yes | complemented |
| 575 | C2×C3⋊D3 | — | 2 | 4 | no | — |
| 576 | C2×C3⋊D3 | — | 4 | 8 | no | — |
| 577 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 578 | C2×C3⋊D3 | — | 9 | 2 | no | — |
| 579 | C2×C3⋊D3 | — | 9 | 4 | no | — |
| 580 | C2×C3⋊D3 | — | 9 | 4 | no | — |
| 581 | C2×C3⋊D3 | — | 9 | 2 | no | — |
| 582 | C2×C3⋊D3 | — | 18 | 2 | no | — |
| 583 | C2×C3⋊D3 | — | 18 | 2 | no | — |
| 584 | C2×C3⋊D3 | — | 18 | 4 | no | — |
| 585 | C2×C3⋊D3 | — | 18 | 2 | no | — |
| 586 | C2×C3⋊D3 | — | 18 | 2 | no | — |
| 587 | C2×C3⋊D3 | — | 18 | 4 | no | — |
| 588 | C2×C3⋊D3 | — | 18 | 2 | no | — |
| 589 | C2×C3⋊D3 | — | 18 | 2 | no | — |
| 590 | C2×C3⋊D3 | — | 36 | 8 | no | — |
| 591 | C2×C3⋊D3 | — | 36 | 16 | no | — |
| 592 | C2×C3⋊D3 | — | 36 | 8 | no | — |
| 593 | C2×C3⋊D3 | — | 36 | 2 | no | — |
| 594 | C2×C3⋊D3 | — | 36 | 2 | no | — |
| 595 | C2×C3⋊D3 | — | 36 | 4 | no | — |
| 596 | C2×C3⋊D3 | — | 36 | 4 | no | — |
| 597 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 598 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 599 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 600 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 601 | C2×C3⋊D3 | — | 36 | 2 | no | — |
| 602 | C2×C3⋊D3 | — | 36 | 2 | no | — |
| 603 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 604 | C2×C3⋊D3 | — | 36 | 2 | no | — |
| 605 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 606 | C2×C3⋊D3 | — | 36 | 2 | no | — |
| 607 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 608 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 609 | C2×C3⋊D3 | — | 72 | 2 | no | — |
| 610 | C2×C3⋊D3 | — | 72 | 2 | no | — |
| 611 | C2×C3⋊D3 | — | 72 | 4 | no | — |
| 612 | C2×C3⋊D3 | — | 72 | 4 | no | — |
| 613 | C2×C3⋊D3 | — | 72 | 8 | no | — |
| 614 | C2×C3⋊D3 | — | 72 | 8 | no | — |
| 615 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 616 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 617 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 618 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 619 | C2×C3⋊D3 | — | 72 | 2 | no | — |
| 620 | C2×C3⋊D3 | — | 72 | 2 | no | — |
| 621 | C2×C3⋊D3 | — | 144 | 2 | no | — |
| 622 | C2×C3⋊D3 | — | 144 | 2 | no | — |
| 623 | C2×C3⋊D3 | — | 144 | 4 | no | — |
| 624 | C2×C3⋊D3 | — | 144 | 4 | no | — |
| 625 | C2×C3⋊D3 | — | 144 | 2 | no | — |
| 626 | C2×C3⋊D3 | — | 144 | 2 | no | — |
| 627 | C2×C3⋊D3 | — | 144 | 2 | no | — |
| 628 | C2×C3⋊D3 | — | 144 | 2 | no | — |
| 629 | C2×C3⋊D3 | — | 144 | 1 | no | — |
| 630 | C2×C3⋊D3 | — | 144 | 1 | no | — |
| 631 | C2×C3⋊D3 | C2×AΓL(1,𝔽9) | 1 | 2 | yes | — |
| 632 | C2×C3⋊D3 | C2×AΓL(1,𝔽9) | 1 | 2 | yes | complemented |
| 633 | C2×C3×D3 | — | 12 | 16 | no | — |
| 634 | C2×C3×D3 | — | 12 | 4 | no | — |
| 635 | C2×C3×D3 | — | 12 | 4 | no | — |
| 636 | C2×C3×D3 | — | 12 | 16 | no | — |
| 637 | C2×C3×D3 | — | 12 | 16 | no | — |
| 638 | C2×C3×D3 | — | 12 | 8 | no | — |
| 639 | C2×C3×D3 | — | 12 | 8 | no | — |
| 640 | C2×C3×D3 | — | 24 | 2 | no | — |
| 641 | C2×C3×D3 | — | 24 | 2 | no | — |
| 642 | C2×C3×D3 | — | 24 | 8 | no | — |
| 643 | C2×C3×D3 | — | 24 | 16 | no | — |
| 644 | C2×C3×D3 | — | 24 | 8 | no | — |
| 645 | C2×C3×D3 | — | 24 | 16 | no | — |
| 646 | C2×C3×D3 | — | 24 | 8 | no | — |
| 647 | C2×C3×D3 | — | 24 | 4 | no | — |
| 648 | C2×C3×D3 | — | 24 | 8 | no | — |
| 649 | C2×C3×D3 | — | 24 | 8 | no | — |
| 650 | C2×C3×D3 | — | 24 | 4 | no | — |
| 651 | C2×C3×D3 | — | 36 | 16 | no | — |
| 652 | C2×C3×D3 | — | 36 | 16 | no | — |
| 653 | C2×C3×D3 | — | 36 | 32 | no | — |
| 654 | C2×C3×D3 | — | 36 | 32 | no | — |
| 655 | D32 | — | 12 | 16 | no | — |
| 656 | D32 | — | 12 | 32 | no | — |
| 657 | D32 | — | 12 | 32 | no | — |
| 658 | D32 | — | 12 | 16 | no | — |
| 659 | D32 | — | 18 | 16 | no | — |
| 660 | D32 | — | 36 | 8 | no | — |
| 661 | D32 | — | 36 | 16 | no | — |
| 662 | D32 | — | 36 | 8 | no | — |
| 663 | D32 | — | 36 | 16 | no | — |
| 664 | D32 | — | 36 | 4 | no | — |
| 665 | D32 | — | 36 | 4 | no | — |
| 666 | D32 | — | 36 | 8 | no | — |
| 667 | D32 | — | 36 | 16 | no | — |
| 668 | D32 | — | 36 | 4 | no | — |
| 669 | D32 | — | 36 | 4 | no | — |
| 670 | D32 | — | 36 | 8 | no | — |
| 671 | D32 | — | 36 | 8 | no | — |
| 672 | D32 | — | 72 | 2 | no | — |
| 673 | D32 | — | 72 | 2 | no | — |
| 674 | D32 | — | 72 | 8 | no | — |
| 675 | D32 | — | 72 | 2 | no | — |
| 676 | D32 | — | 72 | 2 | no | — |
| 677 | D32 | — | 72 | 16 | no | — |
| 678 | D32 | — | 72 | 32 | no | — |
| 679 | D32 | — | 72 | 16 | no | — |
| 680 | D32 | — | 72 | 4 | no | — |
| 681 | D32 | — | 72 | 8 | no | — |
| 682 | D32 | — | 72 | 4 | no | — |
| 683 | D32 | — | 72 | 8 | no | — |
| 684 | #157 | — | 9 | 4 | no | — |
| 685 | #157 | — | 9 | 4 | no | — |
| 686 | #157 | — | 18 | 4 | no | — |
| 687 | #157 | — | 18 | 2 | no | — |
| 688 | #157 | — | 18 | 2 | no | — |
| 689 | #157 | — | 36 | 4 | no | — |
| 690 | #157 | — | 36 | 4 | no | — |
| 691 | #157 | — | 36 | 2 | no | — |
| 692 | #157 | — | 36 | 2 | no | — |
| 693 | #157 | — | 36 | 2 | no | — |
| 694 | #157 | — | 36 | 2 | no | — |
| 695 | #157 | — | 36 | 2 | no | — |
| 696 | #157 | — | 72 | 2 | no | — |
| 697 | #157 | — | 72 | 2 | no | — |
| 698 | #157 | — | 72 | 2 | no | — |
| 699 | #157 | — | 72 | 2 | no | — |
| 700 | #157 | — | 72 | 1 | no | — |
| 701 | #157 | — | 72 | 1 | no | — |
| 702 | #157 | — | 144 | 2 | no | — |
| 703 | #157 | — | 144 | 2 | no | — |
| 704 | C25 | — | 162 | 1 | no | — |
| 705 | C22×Q8 | — | 81 | 1 | no | — |
| 706 | C22×D4 | — | 81 | 2 | no | — |
| 707 | C22×D4 | — | 81 | 2 | no | — |
| 708 | C22×D4 | — | 81 | 2 | no | — |
| 709 | C22×D4 | — | 162 | 1 | no | — |
| 710 | C22×D4 | — | 162 | 1 | no | — |
| 711 | C22×D4 | — | 162 | 1 | no | — |
| 712 | C22×D4 | — | 162 | 8 | no | — |
| 713 | C23×C4 | — | 81 | 1 | no | — |
| 714 | C2×SD16 | — | 81 | 4 | no | — |
| 715 | C2×SD16 | — | 81 | 4 | no | — |
| 716 | C2×SD16 | — | 162 | 8 | no | — |
| 717 | C22×C8 | — | 81 | 2 | no | — |
| 718 | C22⋊Q8 | — | 81 | 2 | no | — |
| 719 | C22⋊Q8 | — | 81 | 2 | no | — |
| 720 | C22⋊Q8 | — | 162 | 1 | no | — |
| 721 | C22⋊Q8 | — | 162 | 1 | no | — |
| 722 | C2×C4⋊C4 | — | 81 | 1 | no | — |
| 723 | C2×C4⋊C4 | — | 162 | 1 | no | — |
| 724 | C2×C22⋊C4 | — | 162 | 1 | no | — |
| 725 | #102 | — | 81 | 4 | no | — |
| 726 | #102 | — | 81 | 4 | no | — |
| 727 | C22⋊C8 | — | 81 | 2 | no | — |
| 728 | C22⋊C8 | — | 81 | 1 | no | — |
| 729 | C22⋊C8 | — | 81 | 1 | no | — |
| 730 | C33 | — | 4 | 2 | no | — |
| 731 | C33 | — | 8 | 2 | no | — |
| 732 | C33 | — | 16 | 1 | no | — |
| 733 | C23×C3 | — | 36 | 2 | no | — |
| 734 | C23×C3 | — | 36 | 4 | no | — |
| 735 | C23×C3 | — | 72 | 2 | no | — |
| 736 | C23×C3 | — | 108 | 4 | no | — |
| 737 | C23×C3 | — | 108 | 4 | no | — |
| 738 | C23×C3 | — | 108 | 16 | no | — |
| 739 | C22×D3 | — | 12 | 2 | no | — |
| 740 | C22×D3 | — | 12 | 4 | no | — |
| 741 | C22×D3 | — | 24 | 2 | no | — |
| 742 | C22×D3 | — | 36 | 8 | no | — |
| 743 | C22×D3 | — | 36 | 8 | no | — |
| 744 | C22×D3 | — | 36 | 4 | no | — |
| 745 | C22×D3 | — | 36 | 4 | no | — |
| 746 | C22×D3 | — | 36 | 32 | no | — |
| 747 | C22×D3 | — | 36 | 16 | no | — |
| 748 | C22×D3 | — | 108 | 8 | no | — |
| 749 | C22×D3 | — | 108 | 16 | no | — |
| 750 | C22×D3 | — | 108 | 16 | no | — |
| 751 | C22×D3 | — | 108 | 16 | no | — |
| 752 | C22×D3 | — | 108 | 32 | no | — |
| 753 | C22×D3 | — | 108 | 32 | no | — |
| 754 | C22×D3 | — | 108 | 2 | no | — |
| 755 | C22×D3 | — | 108 | 2 | no | — |
| 756 | C22×D3 | — | 108 | 2 | no | — |
| 757 | C22×D3 | — | 108 | 2 | no | — |
| 758 | C22×D3 | — | 108 | 2 | no | — |
| 759 | C22×D3 | — | 108 | 8 | no | — |
| 760 | C22×D3 | — | 108 | 16 | no | — |
| 761 | C22×D3 | — | 108 | 8 | no | — |
| 762 | C22×D3 | — | 108 | 8 | no | — |
| 763 | C22×D3 | — | 108 | 16 | no | — |
| 764 | C22×D3 | — | 108 | 16 | no | — |
| 765 | C22×D3 | — | 432 | 1 | no | — |
| 766 | C22×D3 | — | 216 | 4 | no | — |
| 767 | C22×D3 | — | 216 | 8 | no | — |
| 768 | C22×D3 | — | 216 | 2 | no | — |
| 769 | C22×D3 | — | 216 | 4 | no | — |
| 770 | C22×D3 | — | 216 | 8 | no | — |
| 771 | C2×C32 | — | 2 | 2 | no | — |
| 772 | C2×C32 | — | 2 | 2 | no | — |
| 773 | C2×C32 | — | 4 | 4 | no | — |
| 774 | C2×C32 | — | 4 | 2 | no | — |
| 775 | C2×C32 | — | 4 | 2 | no | — |
| 776 | C2×C32 | — | 4 | 2 | no | — |
| 777 | C2×C32 | — | 4 | 1 | no | — |
| 778 | C2×C32 | — | 4 | 1 | no | — |
| 779 | C2×C32 | — | 4 | 1 | no | — |
| 780 | C2×C32 | — | 8 | 2 | no | — |
| 781 | C2×C32 | — | 8 | 1 | no | — |
| 782 | C2×C32 | — | 8 | 8 | no | — |
| 783 | C2×C32 | — | 8 | 4 | no | — |
| 784 | C2×C32 | — | 8 | 2 | no | — |
| 785 | C2×C32 | — | 8 | 1 | no | — |
| 786 | C2×C32 | — | 8 | 1 | no | — |
| 787 | C2×C32 | — | 9 | 4 | no | — |
| 788 | C2×C32 | — | 16 | 4 | no | — |
| 789 | C2×C32 | — | 16 | 2 | no | — |
| 790 | C2×C32 | — | 16 | 2 | no | — |
| 791 | C2×C32 | — | 16 | 2 | no | — |
| 792 | C2×C32 | — | 16 | 1 | no | — |
| 793 | C2×C32 | — | 18 | 2 | no | — |
| 794 | C2×C32 | — | 36 | 8 | no | — |
| 795 | C2×C32 | C22×AΓL(1,𝔽9) | 1 | 2 | yes | — |
| 796 | C3⋊D3 | — | 2 | 2 | no | — |
| 797 | C3⋊D3 | — | 4 | 8 | no | — |
| 798 | C3⋊D3 | — | 9 | 2 | no | — |
| 799 | C3⋊D3 | — | 9 | 2 | no | — |
| 800 | C3⋊D3 | — | 18 | 2 | no | — |
| 801 | C3⋊D3 | — | 18 | 2 | no | — |
| 802 | C3⋊D3 | — | 18 | 2 | no | — |
| 803 | C3⋊D3 | — | 36 | 2 | no | — |
| 804 | C3⋊D3 | — | 36 | 2 | no | — |
| 805 | C3⋊D3 | — | 36 | 4 | no | — |
| 806 | C3⋊D3 | — | 36 | 1 | no | — |
| 807 | C3⋊D3 | — | 36 | 1 | no | — |
| 808 | C3⋊D3 | — | 36 | 1 | no | — |
| 809 | C3⋊D3 | — | 36 | 1 | no | — |
| 810 | C3⋊D3 | — | 36 | 2 | no | — |
| 811 | C3⋊D3 | — | 36 | 1 | no | — |
| 812 | C3⋊D3 | — | 36 | 1 | no | — |
| 813 | C3⋊D3 | — | 36 | 2 | no | — |
| 814 | C3⋊D3 | — | 72 | 1 | no | — |
| 815 | C3⋊D3 | — | 72 | 1 | no | — |
| 816 | C3⋊D3 | — | 72 | 2 | no | — |
| 817 | C3⋊D3 | — | 72 | 4 | no | — |
| 818 | C3⋊D3 | — | 72 | 4 | no | — |
| 819 | C3⋊D3 | — | 72 | 8 | no | — |
| 820 | C3⋊D3 | — | 72 | 1 | no | — |
| 821 | C3⋊D3 | — | 72 | 1 | no | — |
| 822 | C3⋊D3 | — | 72 | 2 | no | — |
| 823 | C3⋊D3 | — | 72 | 2 | no | — |
| 824 | C3⋊D3 | — | 144 | 2 | no | — |
| 825 | C3⋊D3 | — | 144 | 2 | no | — |
| 826 | C3⋊D3 | — | 144 | 4 | no | — |
| 827 | C3⋊D3 | — | 144 | 2 | no | — |
| 828 | C3⋊D3 | — | 144 | 2 | no | — |
| 829 | C3⋊D3 | — | 144 | 1 | no | — |
| 830 | C3⋊D3 | — | 144 | 1 | no | — |
| 831 | C3⋊D3 | #10596417 | 1 | 4 | yes | complemented |
| 832 | C3×D3 | — | 12 | 8 | no | — |
| 833 | C3×D3 | — | 12 | 8 | no | — |
| 834 | C3×D3 | — | 12 | 16 | no | — |
| 835 | C3×D3 | — | 12 | 16 | no | — |
| 836 | C3×D3 | — | 24 | 4 | no | — |
| 837 | C3×D3 | — | 24 | 4 | no | — |
| 838 | C3×D3 | — | 24 | 16 | no | — |
| 839 | C3×D3 | — | 24 | 16 | no | — |
| 840 | C3×D3 | — | 24 | 8 | no | — |
| 841 | C3×D3 | — | 24 | 8 | no | — |
| 842 | C24 | — | 324 | 2 | no | — |
| 843 | C24 | — | 324 | 4 | no | — |
| 844 | C24 | — | 81 | 1 | no | — |
| 845 | C24 | — | 108 | 2 | no | — |
| 846 | C24 | — | 162 | 2 | no | — |
| 847 | C24 | — | 162 | 2 | no | — |
| 848 | C24 | — | 162 | 2 | no | — |
| 849 | C24 | — | 162 | 8 | no | — |
| 850 | C2×Q8 | — | 81 | 2 | no | — |
| 851 | C2×Q8 | — | 162 | 4 | no | — |
| 852 | C2×Q8 | — | 162 | 1 | no | — |
| 853 | C2×D4 | — | 81 | 4 | no | — |
| 854 | C2×D4 | — | 81 | 8 | no | — |
| 855 | C2×D4 | — | 162 | 2 | no | — |
| 856 | C2×D4 | — | 162 | 2 | no | — |
| 857 | C2×D4 | — | 162 | 2 | no | — |
| 858 | C2×D4 | — | 162 | 4 | no | — |
| 859 | C2×D4 | — | 162 | 8 | no | — |
| 860 | C2×D4 | — | 162 | 8 | no | — |
| 861 | C2×D4 | — | 162 | 8 | no | — |
| 862 | C2×D4 | — | 162 | 8 | no | — |
| 863 | C2×D4 | — | 162 | 8 | no | — |
| 864 | C22×C4 | — | 81 | 1 | no | — |
| 865 | C22×C4 | — | 81 | 1 | no | — |
| 866 | C22×C4 | — | 81 | 1 | no | — |
| 867 | C22×C4 | — | 81 | 1 | no | — |
| 868 | C22×C4 | — | 81 | 1 | no | — |
| 869 | C22×C4 | — | 81 | 1 | no | — |
| 870 | C22×C4 | — | 162 | 1 | no | — |
| 871 | C22×C4 | — | 162 | 1 | no | — |
| 872 | C22×C4 | — | 162 | 4 | no | — |
| 873 | SD16 | — | 162 | 8 | no | — |
| 874 | SD16 | — | 162 | 8 | no | — |
| 875 | C2×C8 | — | 81 | 2 | no | — |
| 876 | C2×C8 | — | 81 | 2 | no | — |
| 877 | C2×C8 | — | 162 | 4 | no | — |
| 878 | C4⋊C4 | — | 81 | 2 | no | — |
| 879 | C4⋊C4 | — | 162 | 1 | no | — |
| 880 | C4⋊C4 | — | 162 | 2 | no | — |
| 881 | C4⋊C4 | — | 162 | 2 | no | — |
| 882 | C22⋊C4 | — | 162 | 2 | no | — |
| 883 | C22⋊C4 | — | 162 | 2 | no | — |
| 884 | C22×C3 | — | 4 | 2 | no | — |
| 885 | C22×C3 | — | 8 | 2 | no | — |
| 886 | C22×C3 | — | 16 | 1 | no | — |
| 887 | C22×C3 | — | 36 | 2 | no | — |
| 888 | C22×C3 | — | 36 | 2 | no | — |
| 889 | C22×C3 | — | 36 | 8 | no | — |
| 890 | C22×C3 | — | 36 | 16 | no | — |
| 891 | C22×C3 | — | 36 | 8 | no | — |
| 892 | C22×C3 | — | 72 | 8 | no | — |
| 893 | C22×C3 | — | 72 | 4 | no | — |
| 894 | C22×C3 | — | 108 | 16 | no | — |
| 895 | C22×C3 | — | 108 | 16 | no | — |
| 896 | C2×D3 | — | 12 | 2 | no | — |
| 897 | C2×D3 | — | 12 | 2 | no | — |
| 898 | C2×D3 | — | 12 | 8 | no | — |
| 899 | C2×D3 | — | 12 | 16 | no | — |
| 900 | C2×D3 | — | 12 | 8 | no | — |
| 901 | C2×D3 | — | 24 | 8 | no | — |
| 902 | C2×D3 | — | 24 | 4 | no | — |
| 903 | C2×D3 | — | 36 | 32 | no | — |
| 904 | C2×D3 | — | 36 | 16 | no | — |
| 905 | C2×D3 | — | 36 | 32 | no | — |
| 906 | C2×D3 | — | 36 | 16 | no | — |
| 907 | C2×D3 | — | 108 | 16 | no | — |
| 908 | C2×D3 | — | 108 | 32 | no | — |
| 909 | C2×D3 | — | 108 | 4 | no | — |
| 910 | C2×D3 | — | 108 | 4 | no | — |
| 911 | C2×D3 | — | 108 | 2 | no | — |
| 912 | C2×D3 | — | 108 | 2 | no | — |
| 913 | C2×D3 | — | 108 | 16 | no | — |
| 914 | C2×D3 | — | 108 | 8 | no | — |
| 915 | C2×D3 | — | 108 | 8 | no | — |
| 916 | C2×D3 | — | 108 | 4 | no | — |
| 917 | C2×D3 | — | 108 | 4 | no | — |
| 918 | C2×D3 | — | 108 | 4 | no | — |
| 919 | C2×D3 | — | 108 | 4 | no | — |
| 920 | C2×D3 | — | 432 | 1 | no | — |
| 921 | C2×D3 | — | 432 | 1 | no | — |
| 922 | C2×D3 | — | 432 | 2 | no | — |
| 923 | C2×D3 | — | 432 | 2 | no | — |
| 924 | C2×D3 | — | 216 | 8 | no | — |
| 925 | C2×D3 | — | 216 | 16 | no | — |
| 926 | C2×D3 | — | 216 | 2 | no | — |
| 927 | C2×D3 | — | 216 | 2 | no | — |
| 928 | C2×D3 | — | 216 | 8 | no | — |
| 929 | C2×D3 | — | 216 | 4 | no | — |
| 930 | C2×D3 | — | 216 | 4 | no | — |
| 931 | C32 | — | 2 | 2 | no | — |
| 932 | C32 | — | 4 | 2 | no | — |
| 933 | C32 | — | 4 | 1 | no | — |
| 934 | C32 | — | 4 | 1 | no | — |
| 935 | C32 | — | 4 | 1 | no | — |
| 936 | C32 | — | 8 | 1 | no | — |
| 937 | C32 | — | 8 | 4 | no | — |
| 938 | C32 | — | 8 | 2 | no | — |
| 939 | C32 | — | 16 | 2 | no | — |
| 940 | C32 | — | 16 | 1 | no | — |
| 941 | C32 | C2×#10596417 | 1 | 2 | yes | complemented |
| 942 | C23 | — | 9 | 2 | no | — |
| 943 | C23 | — | 36 | 2 | no | — |
| 944 | C23 | — | 324 | 2 | no | — |
| 945 | C23 | — | 324 | 4 | no | — |
| 946 | C23 | — | 324 | 4 | no | — |
| 947 | C23 | — | 324 | 4 | no | — |
| 948 | C23 | — | 324 | 16 | no | — |
| 949 | C23 | — | 81 | 1 | no | — |
| 950 | C23 | — | 81 | 1 | no | — |
| 951 | C23 | — | 81 | 2 | no | — |
| 952 | C23 | — | 81 | 1 | no | — |
| 953 | C23 | — | 108 | 4 | no | — |
| 954 | C23 | — | 108 | 4 | no | — |
| 955 | C23 | — | 108 | 16 | no | — |
| 956 | C23 | — | 162 | 2 | no | — |
| 957 | C23 | — | 162 | 2 | no | — |
| 958 | C23 | — | 162 | 4 | no | — |
| 959 | C23 | — | 162 | 8 | no | — |
| 960 | C23 | — | 162 | 8 | no | — |
| 961 | C23 | — | 162 | 8 | no | — |
| 962 | Q8 | — | 324 | 2 | no | — |
| 963 | Q8 | — | 162 | 4 | no | — |
| 964 | D4 | — | 81 | 8 | no | — |
| 965 | D4 | — | 162 | 4 | no | — |
| 966 | D4 | — | 162 | 8 | no | — |
| 967 | D4 | — | 162 | 8 | no | — |
| 968 | D4 | — | 162 | 8 | no | — |
| 969 | C2×C4 | — | 324 | 2 | no | — |
| 970 | C2×C4 | — | 324 | 2 | no | — |
| 971 | C2×C4 | — | 81 | 1 | no | — |
| 972 | C2×C4 | — | 81 | 1 | no | — |
| 973 | C2×C4 | — | 81 | 4 | no | — |
| 974 | C2×C4 | — | 81 | 1 | no | — |
| 975 | C2×C4 | — | 81 | 1 | no | — |
| 976 | C2×C4 | — | 162 | 2 | no | — |
| 977 | C2×C4 | — | 162 | 2 | no | — |
| 978 | C2×C4 | — | 162 | 2 | no | — |
| 979 | C2×C4 | — | 162 | 2 | no | — |
| 980 | C2×C4 | — | 162 | 2 | no | — |
| 981 | C2×C4 | — | 162 | 2 | no | — |
| 982 | C2×C4 | — | 162 | 2 | no | — |
| 983 | C8 | — | 162 | 2 | no | — |
| 984 | C8 | — | 162 | 2 | no | — |
| 985 | C2×C3 | — | 4 | 4 | no | — |
| 986 | C2×C3 | — | 4 | 2 | no | — |
| 987 | C2×C3 | — | 8 | 4 | no | — |
| 988 | C2×C3 | — | 8 | 2 | no | — |
| 989 | C2×C3 | — | 16 | 2 | no | — |
| 990 | C2×C3 | — | 16 | 1 | no | — |
| 991 | C2×C3 | — | 36 | 4 | no | — |
| 992 | C2×C3 | — | 36 | 4 | no | — |
| 993 | C2×C3 | — | 36 | 16 | no | — |
| 994 | C2×C3 | — | 72 | 8 | no | — |
| 995 | D3 | — | 12 | 4 | no | — |
| 996 | D3 | — | 12 | 4 | no | — |
| 997 | D3 | — | 12 | 16 | no | — |
| 998 | D3 | — | 24 | 8 | no | — |
| 999 | D3 | — | 108 | 2 | no | — |
| 1000 | D3 | — | 108 | 2 | no | — |
| 1001 | D3 | — | 108 | 4 | no | — |
| 1002 | D3 | — | 432 | 1 | no | — |
| 1003 | D3 | — | 432 | 1 | no | — |
| 1004 | D3 | — | 432 | 2 | no | — |
| 1005 | D3 | — | 216 | 2 | no | — |
| 1006 | D3 | — | 216 | 2 | no | — |
| 1007 | D3 | — | 216 | 4 | no | — |
| 1008 | C22 | — | 9 | 2 | no | — |
| 1009 | C22 | — | 9 | 2 | no | — |
| 1010 | C22 | — | 18 | 4 | no | — |
| 1011 | C22 | — | 36 | 8 | no | — |
| 1012 | C22 | — | 36 | 4 | no | — |
| 1013 | C22 | — | 324 | 4 | no | — |
| 1014 | C22 | — | 324 | 8 | no | — |
| 1015 | C22 | — | 81 | 2 | no | — |
| 1016 | C22 | — | 81 | 2 | no | — |
| 1017 | C22 | — | 81 | 1 | no | — |
| 1018 | C22 | — | 81 | 1 | no | — |
| 1019 | C22 | — | 108 | 16 | no | — |
| 1020 | C22 | — | 108 | 16 | no | — |
| 1021 | C22 | — | 162 | 1 | no | — |
| 1022 | C22 | — | 162 | 1 | no | — |
| 1023 | C22 | — | 162 | 4 | no | — |
| 1024 | C22 | — | 162 | 1 | no | — |
| 1025 | C22 | — | 162 | 1 | no | — |
| 1026 | C22 | — | 162 | 8 | no | — |
| 1027 | C22 | #72210346 | 1 | 1 | yes | characteristic, complemented |
| 1028 | C4 | — | 324 | 2 | no | — |
| 1029 | C4 | — | 324 | 2 | no | — |
| 1030 | C4 | — | 81 | 2 | no | — |
| 1031 | C4 | — | 81 | 2 | no | — |
| 1032 | C4 | — | 162 | 1 | no | — |
| 1033 | C4 | — | 162 | 1 | no | — |
| 1034 | C3 | — | 4 | 2 | no | — |
| 1035 | C3 | — | 8 | 2 | no | — |
| 1036 | C3 | — | 16 | 1 | no | — |
| 1037 | C2 | — | 2 | 1 | no | — |
| 1038 | C2 | — | 9 | 4 | no | — |
| 1039 | C2 | — | 18 | 2 | no | — |
| 1040 | C2 | — | 36 | 8 | no | — |
| 1041 | C2 | — | 81 | 1 | no | — |
| 1042 | C2 | — | 81 | 1 | no | — |
| 1043 | C2 | — | 162 | 1 | no | — |
| 1044 | C2 | C2×#72210346 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72220568 | C2 | semidirect |
| 2. #72220564 | C2 | semidirect |
| 3. #72220563 | C2 | semidirect |
| 5. #72220550 | C22 | semidirect |
| 8. #72220299 | C2 | semidirect |
| 11. #72220241 | C22 | semidirect |
| 12. #72219724 | C2 | semidirect |
| 13. #72219721 | C2 | semidirect |
| 14. #72219710 | C22 | semidirect |
| 15. #72219702 | C22 | semidirect |
| 16. #72219700 | C22 | semidirect |
| 18. #72213877 | C22 | semidirect |
| 20. #72213864 | C22 | semidirect |
| 21. C2×#72210346 | C2 | semidirect |
| 22. C2×#13049788 | C22 | semidirect |
| 28. #72213750 | C22 | semidirect |
| 31. C2×#13049804 | C22 | semidirect |
| 32. C2×#13049818 | C22 | semidirect |
| 33. C2×#13049803 | C22 | semidirect |
| 46. C2×#10620211 | C23 | semidirect |
| 60. C2×#10620193 | C23 | semidirect |
| 61. C2×#10620192 | C23 | semidirect |
| 75. #13049467 | C23 | semidirect |
| 81. C22×C32×C3⋊D3 | SD16 | semidirect |
| 88. C2×C3⋊D32 | SD16 | semidirect |
| 143. C22×C34 | C2×SD16 | semidirect |
| 146. C2×C3⋊(C3⋊(C3⋊D3)) | C2×SD16 | semidirect |
| 152. C2×C32×C3⋊D3 | C2×SD16 | semidirect |
| 249. C32×C3⋊D3 | #450 | semidirect |
| 379. C34 | C2×#450 | semidirect |
| 404. C22×C3⋊D3 | AΓL(1,𝔽9) | semidirect |
| 574. C22×C32 | C2×AΓL(1,𝔽9) | semidirect |
| 632. C2×C3⋊D3 | C2×AΓL(1,𝔽9) | semidirect |
| 831. C3⋊D3 | #10596417 | semidirect |
| 941. C32 | C2×#10596417 | semidirect |
| 1027. C22 | #72210346 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72220568 | 2 |
| #72220564 | 2 |
| #72220563 | 2 |
| C22×#13049813 | 2 |
| #72220299 | 2 |
| #72219724 | 2 |
| #72219721 | 2 |
| C2×#72210346 | 2 |
| C2×#10596417 | 9 |