Finite Group DatabasebetaFinite Group DatabasebetaOrder 8748.
977 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 977 conjugacy classes of subgroups — too many to draw. Only its 91 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 | D3×#92262 | — | 3 | 1 | no | maximal |
| 2 | #72244095 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72244095 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×D9⋊((C3⋊D3)⋊C3) | C3 | 1 | 1 | yes | maximal, characteristic |
| 5 | #72243902 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72243844 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72243704 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | D3×#92264 | — | 3 | 1 | no | maximal |
| 9 | C9×D9×C3⋊D3 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #14552609 | C22 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 11 | D3×#6896 | — | 3 | 1 | no | — |
| 12 | C3⋊#92264 | — | 3 | 1 | no | — |
| 13 | C3×#92264 | — | 2 | 1 | no | — |
| 14 | C3×#92264 | D3 | 1 | 1 | yes | characteristic, complemented |
| 15 | C3×#92303 | C2×C3 | 1 | 1 | yes | characteristic |
| 16 | C3×D9⋊H(3,𝔽3) | C2×C3 | 1 | 1 | yes | characteristic |
| 17 | C3⋊#92262 | — | 3 | 1 | no | — |
| 18 | C3×#92262 | D3 | 1 | 1 | yes | characteristic |
| 19 | C3×#92262 | C2×C3 | 1 | 1 | yes | characteristic |
| 20 | D3×C9⋊H(3,𝔽3) | — | 3 | 1 | no | — |
| 21 | C9×C3⋊(C3⋊D9) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 22 | C92×C3⋊D3 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 23 | C32×C9×D9 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 24 | #13090655 | — | 6 | 1 | no | — |
| 25 | (C3×AGL(1,ℤ/9))⋊C9 | — | 2 | 1 | no | — |
| 26 | (C3×AGL(1,ℤ/9))⋊C9 | — | 2 | 1 | no | — |
| 27 | (C3×AGL(1,ℤ/9))⋊C9 | — | 2 | 1 | no | — |
| 28 | ((C3⋊D3)⋊C9)⋊C9 | — | 2 | 1 | no | — |
| 29 | ((C3⋊D3)⋊C9)⋊C9 | — | 2 | 1 | no | — |
| 30 | (C3×(C3⋊D3)⋊C3)⋊C9 | — | 2 | 1 | no | — |
| 31 | #13090624 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 32 | #13090624 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 33 | #13090623 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 34 | #13090623 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 35 | #13090622 | — | 2 | 1 | no | — |
| 36 | #13090622 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 37 | #13090622 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 38 | D3×C9×C3⋊D3 | — | 3 | 1 | no | — |
| 39 | C3×D9×C3⋊D3 | C32 | 1 | 1 | yes | characteristic |
| 40 | D32×3−1+2 | — | 9 | 1 | no | — |
| 41 | C3×D3×AGL(1,ℤ/9) | — | 3 | 1 | no | — |
| 42 | C3×D3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 43 | C2×#92264 | — | 9 | 1 | no | — |
| 44 | C2×#92262 | — | 9 | 1 | no | — |
| 45 | D9⋊((C3⋊D3)⋊C3) | — | 3 | 1 | no | — |
| 46 | D3×D9⋊C9 | — | 3 | 1 | no | — |
| 47 | D3×D9⋊C9 | — | 3 | 1 | no | — |
| 48 | D3×(C3⋊D3)⋊C9 | — | 3 | 1 | no | — |
| 49 | D3×(C3⋊D3)⋊C9 | — | 3 | 1 | no | — |
| 50 | D3×C9×D9 | — | 3 | 1 | no | — |
| 51 | D3×C9×D9 | — | 9 | 1 | no | — |
| 52 | C3×#6896 | — | 2 | 1 | no | — |
| 53 | C3×#6896 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 54 | C3×C9⋊H(3,𝔽3) | C2×D3 | 1 | 1 | yes | characteristic |
| 55 | C3×C9⋊H(3,𝔽3) | C22×C3 | 1 | 1 | yes | characteristic |
| 56 | C32×C92 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 57 | #10624560 | — | 2 | 1 | no | — |
| 58 | #10624560 | — | 2 | 1 | no | — |
| 59 | #10624560 | — | 2 | 1 | no | — |
| 60 | #10624560 | — | 2 | 1 | no | — |
| 61 | #10624560 | — | 4 | 1 | no | — |
| 62 | #10624557 | — | 4 | 1 | no | — |
| 63 | #10624557 | — | 4 | 1 | no | — |
| 64 | #10624557 | — | 4 | 1 | no | — |
| 65 | #10624556 | — | 2 | 1 | no | — |
| 66 | #10624556 | — | 2 | 1 | no | — |
| 67 | #10624555 | — | 2 | 1 | no | — |
| 68 | #10624548 | — | 2 | 1 | no | — |
| 69 | #10624548 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 70 | #10624548 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 71 | C9×C3⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 72 | C3×C3⋊(C3⋊D9) | C2×C32 | 1 | 1 | yes | characteristic |
| 73 | C3⋊D3×3−1+2 | — | 9 | 1 | no | — |
| 74 | C3×C3⋊AGL(1,ℤ/9) | — | 3 | 1 | no | — |
| 75 | C3×C3⋊((C3⋊D3)⋊C3) | — | 3 | 1 | no | — |
| 76 | C3×C9×C3⋊D3 | — | 2 | 1 | no | — |
| 77 | C3×C9×C3⋊D3 | C3×D3 | 1 | 1 | yes | characteristic |
| 78 | C3×C9×C3⋊D3 | C2×C32 | 1 | 1 | yes | characteristic |
| 79 | C3×D3×3−1+2 | — | 3 | 1 | no | — |
| 80 | C3×D3×3−1+2 | — | 3 | 1 | no | — |
| 81 | C3×D3×3−1+2 | — | 3 | 1 | no | — |
| 82 | C3×D3×3−1+2 | — | 6 | 1 | no | — |
| 83 | C32×AGL(1,ℤ/9) | — | 2 | 1 | no | — |
| 84 | C32×AGL(1,ℤ/9) | C3×D3 | 1 | 1 | yes | characteristic |
| 85 | C3×D3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 86 | C32×(C3⋊D3)⋊C3 | C3×D3 | 1 | 1 | yes | characteristic |
| 87 | C32×D3×C9 | — | 3 | 1 | no | — |
| 88 | C33×D9 | C2×C32 | 1 | 1 | yes | characteristic |
| 89 | C2×#6896 | — | 9 | 1 | no | — |
| 90 | C2×C9⋊H(3,𝔽3) | — | 9 | 1 | no | — |
| 91 | #92303 | — | 3 | 1 | no | — |
| 92 | C3⋊(D9⋊C9) | — | 3 | 1 | no | — |
| 93 | C3⋊(D9⋊C9) | — | 3 | 1 | no | — |
| 94 | C3⋊((C3⋊D3)⋊C9) | — | 3 | 1 | no | — |
| 95 | C3⋊((C3⋊D3)⋊C9) | — | 3 | 1 | no | — |
| 96 | C9×C3⋊D9 | — | 3 | 1 | no | — |
| 97 | C9×C3⋊D9 | — | 6 | 1 | no | — |
| 98 | C9×C3⋊D9 | — | 9 | 1 | no | — |
| 99 | C9×C3⋊D9 | — | 18 | 1 | no | — |
| 100 | #92264 | — | 3 | 1 | no | — |
| 101 | #92264 | — | 6 | 1 | no | — |
| 102 | #92264 | — | 6 | 1 | no | — |
| 103 | #92264 | — | 6 | 1 | no | — |
| 104 | #92264 | — | 6 | 1 | no | — |
| 105 | #92264 | — | 9 | 1 | no | — |
| 106 | #92264 | — | 18 | 1 | no | — |
| 107 | #92262 | — | 3 | 1 | no | — |
| 108 | #92262 | — | 6 | 1 | no | — |
| 109 | #92262 | — | 6 | 1 | no | — |
| 110 | #92262 | — | 6 | 1 | no | — |
| 111 | #92262 | — | 9 | 1 | no | — |
| 112 | #92262 | — | 18 | 1 | no | — |
| 113 | D9⋊H(3,𝔽3) | — | 3 | 1 | no | — |
| 114 | D9⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 115 | D3×C9⋊C9 | — | 3 | 1 | no | — |
| 116 | D3×C9⋊C9 | — | 3 | 1 | no | — |
| 117 | D3×C9⋊C9 | — | 6 | 1 | no | — |
| 118 | D3×C9⋊C9 | — | 6 | 1 | no | — |
| 119 | D3×C9⋊C9 | — | 6 | 1 | no | — |
| 120 | C3×D9⋊C9 | — | 2 | 1 | no | — |
| 121 | C3×D9⋊C9 | — | 2 | 1 | no | — |
| 122 | C3×D9⋊C9 | C3×D3 | 1 | 1 | yes | characteristic |
| 123 | C3×D9⋊C9 | C3×D3 | 1 | 1 | yes | characteristic |
| 124 | D3×C32⋊C9 | — | 3 | 1 | no | — |
| 125 | D3×C32⋊C9 | — | 3 | 1 | no | — |
| 126 | D3×C32⋊C9 | — | 6 | 1 | no | — |
| 127 | D3×C32⋊C9 | — | 6 | 1 | no | — |
| 128 | D3×C32⋊C9 | — | 6 | 1 | no | — |
| 129 | D3×C32⋊C9 | — | 6 | 1 | no | — |
| 130 | C3×#4169 | — | 6 | 1 | no | — |
| 131 | C3×(C3⋊D3)⋊C9 | — | 2 | 1 | no | — |
| 132 | C3×(C3⋊D3)⋊C9 | — | 2 | 1 | no | — |
| 133 | C3×(C3⋊D3)⋊C9 | — | 2 | 1 | no | — |
| 134 | C3×(C3⋊D3)⋊C9 | C3×D3 | 1 | 1 | yes | characteristic |
| 135 | C3×(C3⋊D3)⋊C9 | C3×D3 | 1 | 1 | yes | characteristic |
| 136 | D3×C92 | — | 3 | 1 | no | — |
| 137 | D3×C92 | — | 9 | 1 | no | — |
| 138 | C3×C9×D9 | — | 2 | 1 | no | — |
| 139 | C3×C9×D9 | — | 3 | 1 | no | — |
| 140 | C3×C9×D9 | — | 6 | 1 | no | — |
| 141 | C3×C9×D9 | C3×D3 | 1 | 1 | yes | characteristic |
| 142 | #92158 | — | 6 | 1 | no | — |
| 143 | #92158 | — | 6 | 1 | no | — |
| 144 | C3×D3×C3⋊D3 | — | 3 | 1 | no | — |
| 145 | C32×D32 | — | 9 | 1 | no | — |
| 146 | C2×C9×C3⋊D3 | — | 9 | 1 | no | — |
| 147 | C2×D3×3−1+2 | — | 27 | 1 | no | — |
| 148 | C2×D3×3−1+2 | — | 27 | 1 | no | — |
| 149 | C2×C3×AGL(1,ℤ/9) | — | 9 | 1 | no | — |
| 150 | C2×C3×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 151 | D9×C3⋊D3 | 3−1+2 | 1 | 1 | yes | characteristic, complemented |
| 152 | D3×AGL(1,ℤ/9) | — | 9 | 1 | no | — |
| 153 | D3×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 154 | D32×C9 | — | 9 | 1 | no | — |
| 155 | D32×C9 | — | 9 | 1 | no | — |
| 156 | D32×C9 | — | 9 | 1 | no | — |
| 157 | D32×C9 | — | 27 | 1 | no | — |
| 158 | C3×D3×D9 | — | 3 | 1 | no | — |
| 159 | C3×D3×D9 | — | 9 | 1 | no | — |
| 160 | C2×D9⋊C9 | — | 9 | 1 | no | — |
| 161 | C2×D9⋊C9 | — | 9 | 1 | no | — |
| 162 | C2×(C3⋊D3)⋊C9 | — | 9 | 1 | no | — |
| 163 | C2×(C3⋊D3)⋊C9 | — | 9 | 1 | no | — |
| 164 | C2×C9×D9 | — | 9 | 1 | no | — |
| 165 | C32×3−1+2 | — | 2 | 1 | no | — |
| 166 | C32×3−1+2 | — | 2 | 1 | no | — |
| 167 | C32×3−1+2 | D32 | 1 | 1 | yes | characteristic |
| 168 | C32×3−1+2 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 169 | C32×H(3,𝔽3) | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 170 | C33×C9 | — | 2 | 1 | no | — |
| 171 | C33×C9 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 172 | C33×C9 | C22×C32 | 1 | 1 | yes | characteristic |
| 173 | #6896 | — | 3 | 1 | no | — |
| 174 | #6896 | — | 6 | 1 | no | — |
| 175 | #6896 | — | 6 | 1 | no | — |
| 176 | #6896 | — | 6 | 1 | no | — |
| 177 | #6896 | — | 6 | 1 | no | — |
| 178 | #6896 | — | 12 | 1 | no | — |
| 179 | #6896 | — | 12 | 1 | no | — |
| 180 | #6896 | — | 12 | 1 | no | — |
| 181 | #6896 | — | 12 | 1 | no | — |
| 182 | #6896 | — | 12 | 1 | no | — |
| 183 | C9⋊H(3,𝔽3) | — | 3 | 1 | no | — |
| 184 | C9⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 185 | C9⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 186 | C9⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 187 | C9⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 188 | C9⋊H(3,𝔽3) | — | 12 | 1 | no | — |
| 189 | C9⋊H(3,𝔽3) | — | 12 | 1 | no | — |
| 190 | C9⋊H(3,𝔽3) | — | 12 | 1 | no | — |
| 191 | C3×C9⋊C9 | — | 2 | 1 | no | — |
| 192 | C3×C9⋊C9 | — | 2 | 1 | no | — |
| 193 | C3×C9⋊C9 | — | 2 | 1 | no | — |
| 194 | C3×C9⋊C9 | — | 2 | 1 | no | — |
| 195 | C3×C9⋊C9 | — | 2 | 1 | no | — |
| 196 | C3×C9⋊C9 | — | 4 | 1 | no | — |
| 197 | C3×C9⋊C9 | — | 4 | 1 | no | — |
| 198 | C3×C9⋊C9 | — | 4 | 1 | no | — |
| 199 | C3×C9⋊C9 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 200 | C3×C9⋊C9 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 201 | C3×C32⋊C9 | — | 2 | 1 | no | — |
| 202 | C3×C32⋊C9 | — | 2 | 1 | no | — |
| 203 | C3×C32⋊C9 | — | 2 | 1 | no | — |
| 204 | C3×C32⋊C9 | — | 2 | 1 | no | — |
| 205 | C3×C32⋊C9 | — | 2 | 1 | no | — |
| 206 | C3×C32⋊C9 | — | 2 | 1 | no | — |
| 207 | C3×C32⋊C9 | — | 2 | 1 | no | — |
| 208 | C3×C32⋊C9 | — | 2 | 1 | no | — |
| 209 | C3×C32⋊C9 | — | 4 | 1 | no | — |
| 210 | C3×C32⋊C9 | — | 4 | 1 | no | — |
| 211 | C3×C32⋊C9 | — | 4 | 1 | no | — |
| 212 | C3×C32⋊C9 | — | 4 | 1 | no | — |
| 213 | C3×C32⋊C9 | — | 4 | 1 | no | — |
| 214 | C3×C32⋊C9 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 215 | C3×C32⋊C9 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 216 | C3×C92 | — | 2 | 1 | no | — |
| 217 | C3×C92 | — | 2 | 1 | no | — |
| 218 | C3×C92 | — | 3 | 1 | no | — |
| 219 | C3×C92 | — | 4 | 1 | no | — |
| 220 | C3×C92 | — | 6 | 1 | no | — |
| 221 | C3×C92 | — | 6 | 1 | no | — |
| 222 | C3×C92 | — | 12 | 1 | no | — |
| 223 | C3×C92 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 224 | #6855 | — | 2 | 1 | no | — |
| 225 | #6855 | — | 2 | 1 | no | — |
| 226 | #6855 | — | 4 | 1 | no | — |
| 227 | #6855 | — | 4 | 1 | no | — |
| 228 | #6855 | — | 4 | 1 | no | — |
| 229 | #6855 | — | 4 | 1 | no | — |
| 230 | #6855 | — | 4 | 1 | no | — |
| 231 | #6855 | — | 4 | 1 | no | — |
| 232 | #6855 | — | 4 | 1 | no | — |
| 233 | #6855 | — | 4 | 1 | no | — |
| 234 | #6855 | — | 4 | 1 | no | — |
| 235 | #6855 | — | 4 | 1 | no | — |
| 236 | #6855 | — | 4 | 1 | no | — |
| 237 | C3×C3⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 238 | C32×C3⋊D3 | — | 9 | 1 | no | — |
| 239 | C32×C3⋊D3 | C32×D3 | 1 | 1 | yes | characteristic |
| 240 | C33×D3 | — | 3 | 1 | no | — |
| 241 | C33×D3 | — | 3 | 1 | no | — |
| 242 | C33×D3 | — | 3 | 1 | no | — |
| 243 | C33×D3 | — | 6 | 1 | no | — |
| 244 | C2×C3×3−1+2 | — | 9 | 1 | no | — |
| 245 | C2×C3×3−1+2 | — | 9 | 1 | no | — |
| 246 | C2×C3×3−1+2 | — | 9 | 1 | no | — |
| 247 | C2×C3×3−1+2 | — | 18 | 1 | no | — |
| 248 | C2×C3×H(3,𝔽3) | — | 9 | 1 | no | — |
| 249 | C2×C32×C9 | — | 9 | 1 | no | — |
| 250 | C3⋊(C3⋊D9) | C2×3−1+2 | 1 | 1 | yes | characteristic, complemented |
| 251 | C3⋊AGL(1,ℤ/9) | — | 9 | 1 | no | — |
| 252 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 253 | C9×C3⋊D3 | — | 2 | 1 | no | — |
| 254 | C9×C3⋊D3 | — | 2 | 1 | no | — |
| 255 | C9×C3⋊D3 | — | 6 | 1 | no | — |
| 256 | C9×C3⋊D3 | — | 9 | 1 | no | — |
| 257 | C9×C3⋊D3 | — | 9 | 1 | no | — |
| 258 | C9×C3⋊D3 | — | 9 | 1 | no | — |
| 259 | C9×C3⋊D3 | — | 9 | 1 | no | — |
| 260 | C9×C3⋊D3 | — | 18 | 1 | no | — |
| 261 | C9×C3⋊D3 | — | 27 | 1 | no | — |
| 262 | C9×C3⋊D3 | — | 54 | 1 | no | — |
| 263 | C9×C3⋊D3 | AGL(1,ℤ/9) | 1 | 1 | yes | characteristic, complemented |
| 264 | C9×C3⋊D3 | C2×3−1+2 | 1 | 1 | yes | characteristic, complemented |
| 265 | C3×C3⋊D9 | — | 3 | 1 | no | — |
| 266 | C3×C3⋊D9 | — | 6 | 1 | no | — |
| 267 | C3×C3⋊D9 | — | 9 | 1 | no | — |
| 268 | C3×C3⋊D9 | — | 18 | 1 | no | — |
| 269 | D3×3−1+2 | — | 9 | 1 | no | — |
| 270 | D3×3−1+2 | — | 18 | 1 | no | — |
| 271 | D3×3−1+2 | — | 18 | 1 | no | — |
| 272 | D3×3−1+2 | — | 18 | 1 | no | — |
| 273 | D3×3−1+2 | — | 18 | 1 | no | — |
| 274 | D3×3−1+2 | — | 18 | 1 | no | — |
| 275 | D3×3−1+2 | — | 18 | 1 | no | — |
| 276 | D3×3−1+2 | — | 18 | 1 | no | — |
| 277 | D3×3−1+2 | — | 18 | 1 | no | — |
| 278 | D3×3−1+2 | — | 27 | 1 | no | — |
| 279 | D3×3−1+2 | — | 27 | 1 | no | — |
| 280 | D3×3−1+2 | — | 54 | 1 | no | — |
| 281 | C3×AGL(1,ℤ/9) | — | 3 | 1 | no | — |
| 282 | C3×AGL(1,ℤ/9) | — | 6 | 1 | no | — |
| 283 | C3×AGL(1,ℤ/9) | — | 6 | 1 | no | — |
| 284 | C3×AGL(1,ℤ/9) | — | 6 | 1 | no | — |
| 285 | C3×AGL(1,ℤ/9) | — | 6 | 1 | no | — |
| 286 | C3×AGL(1,ℤ/9) | — | 6 | 1 | no | — |
| 287 | C3×AGL(1,ℤ/9) | — | 6 | 1 | no | — |
| 288 | C3×AGL(1,ℤ/9) | — | 9 | 1 | no | — |
| 289 | C3×AGL(1,ℤ/9) | — | 18 | 1 | no | — |
| 290 | D3×H(3,𝔽3) | — | 9 | 1 | no | — |
| 291 | D3×H(3,𝔽3) | — | 18 | 1 | no | — |
| 292 | C3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 293 | C3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 294 | C3×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 295 | C3×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 296 | C3×(C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 297 | C3×D3×C9 | — | 3 | 1 | no | — |
| 298 | C3×D3×C9 | — | 3 | 1 | no | — |
| 299 | C3×D3×C9 | — | 3 | 1 | no | — |
| 300 | C3×D3×C9 | — | 3 | 1 | no | — |
| 301 | C3×D3×C9 | — | 3 | 1 | no | — |
| 302 | C3×D3×C9 | — | 3 | 1 | no | — |
| 303 | C3×D3×C9 | — | 3 | 1 | no | — |
| 304 | C3×D3×C9 | — | 6 | 1 | no | — |
| 305 | C3×D3×C9 | — | 6 | 1 | no | — |
| 306 | C3×D3×C9 | — | 6 | 1 | no | — |
| 307 | C3×D3×C9 | — | 6 | 1 | no | — |
| 308 | C3×D3×C9 | — | 6 | 1 | no | — |
| 309 | C3×D3×C9 | — | 6 | 1 | no | — |
| 310 | C3×D3×C9 | — | 6 | 1 | no | — |
| 311 | C3×D3×C9 | — | 9 | 1 | no | — |
| 312 | C3×D3×C9 | — | 9 | 1 | no | — |
| 313 | C3×D3×C9 | — | 9 | 1 | no | — |
| 314 | C3×D3×C9 | — | 18 | 1 | no | — |
| 315 | C3×D3×C9 | — | 18 | 1 | no | — |
| 316 | C32×D9 | — | 2 | 1 | no | — |
| 317 | C32×D9 | — | 3 | 1 | no | — |
| 318 | C32×D9 | — | 6 | 1 | no | — |
| 319 | C32×D9 | C2×3−1+2 | 1 | 1 | yes | characteristic, complemented |
| 320 | C32×D9 | C32×D3 | 1 | 1 | yes | characteristic |
| 321 | C2×C9⋊C9 | — | 9 | 1 | no | — |
| 322 | C2×C9⋊C9 | — | 9 | 1 | no | — |
| 323 | C2×C9⋊C9 | — | 18 | 1 | no | — |
| 324 | C2×C9⋊C9 | — | 18 | 1 | no | — |
| 325 | C2×C9⋊C9 | — | 18 | 1 | no | — |
| 326 | C2×C32⋊C9 | — | 9 | 1 | no | — |
| 327 | C2×C32⋊C9 | — | 9 | 1 | no | — |
| 328 | C2×C32⋊C9 | — | 18 | 1 | no | — |
| 329 | C2×C32⋊C9 | — | 18 | 1 | no | — |
| 330 | C2×C32⋊C9 | — | 18 | 1 | no | — |
| 331 | C2×C32⋊C9 | — | 18 | 1 | no | — |
| 332 | C2×C92 | — | 9 | 1 | no | — |
| 333 | D9⋊C9 | — | 6 | 1 | no | — |
| 334 | D9⋊C9 | — | 6 | 1 | no | — |
| 335 | D9⋊C9 | — | 6 | 1 | no | — |
| 336 | D9⋊C9 | — | 6 | 1 | no | — |
| 337 | D9⋊C9 | — | 9 | 1 | no | — |
| 338 | D9⋊C9 | — | 9 | 1 | no | — |
| 339 | D9⋊C9 | — | 18 | 1 | no | — |
| 340 | D9⋊C9 | — | 18 | 1 | no | — |
| 341 | #4169 | — | 18 | 1 | no | — |
| 342 | (C3⋊D3)⋊C9 | — | 6 | 1 | no | — |
| 343 | (C3⋊D3)⋊C9 | — | 6 | 1 | no | — |
| 344 | (C3⋊D3)⋊C9 | — | 6 | 1 | no | — |
| 345 | (C3⋊D3)⋊C9 | — | 6 | 1 | no | — |
| 346 | (C3⋊D3)⋊C9 | — | 6 | 1 | no | — |
| 347 | (C3⋊D3)⋊C9 | — | 9 | 1 | no | — |
| 348 | (C3⋊D3)⋊C9 | — | 9 | 1 | no | — |
| 349 | (C3⋊D3)⋊C9 | — | 18 | 1 | no | — |
| 350 | (C3⋊D3)⋊C9 | — | 18 | 1 | no | — |
| 351 | C9×D9 | — | 2 | 1 | no | — |
| 352 | C9×D9 | — | 6 | 1 | no | — |
| 353 | C9×D9 | — | 9 | 1 | no | — |
| 354 | C9×D9 | — | 18 | 1 | no | — |
| 355 | C9×D9 | — | 54 | 1 | no | — |
| 356 | C9×D9 | (C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 357 | C2×C3×C3⋊D3 | — | 9 | 1 | no | — |
| 358 | C2×C32×D3 | — | 27 | 1 | no | — |
| 359 | C2×C32×D3 | — | 27 | 1 | no | — |
| 360 | D3×C3⋊D3 | — | 3 | 1 | no | — |
| 361 | C3×D32 | — | 9 | 1 | no | — |
| 362 | C3×D32 | — | 27 | 1 | no | — |
| 363 | C3×D32 | — | 27 | 1 | no | — |
| 364 | C22×3−1+2 | — | 81 | 1 | no | — |
| 365 | C2×AGL(1,ℤ/9) | — | 27 | 1 | no | — |
| 366 | C2×(C3⋊D3)⋊C3 | — | 27 | 1 | no | — |
| 367 | C2×D3×C9 | — | 27 | 1 | no | — |
| 368 | C2×D3×C9 | — | 27 | 1 | no | — |
| 369 | C2×D3×C9 | — | 27 | 1 | no | — |
| 370 | C2×D3×C9 | — | 27 | 1 | no | — |
| 371 | C2×D3×C9 | — | 27 | 1 | no | — |
| 372 | C2×D3×C9 | — | 27 | 1 | no | — |
| 373 | C2×D3×C9 | — | 81 | 1 | no | — |
| 374 | C2×C3×D9 | — | 9 | 1 | no | — |
| 375 | D3×D9 | — | 3 | 1 | no | — |
| 376 | D3×D9 | — | 9 | 1 | no | — |
| 377 | C34 | — | 2 | 1 | no | — |
| 378 | C34 | C3×D32 | 1 | 1 | yes | characteristic |
| 379 | C34 | C2×C32×D3 | 1 | 1 | yes | characteristic |
| 380 | C3×3−1+2 | — | 3 | 1 | no | — |
| 381 | C3×3−1+2 | — | 6 | 1 | no | — |
| 382 | C3×3−1+2 | — | 6 | 1 | no | — |
| 383 | C3×3−1+2 | — | 6 | 1 | no | — |
| 384 | C3×3−1+2 | — | 6 | 1 | no | — |
| 385 | C3×3−1+2 | — | 6 | 1 | no | — |
| 386 | C3×3−1+2 | — | 6 | 1 | no | — |
| 387 | C3×3−1+2 | — | 6 | 1 | no | — |
| 388 | C3×3−1+2 | — | 6 | 1 | no | — |
| 389 | C3×3−1+2 | — | 6 | 1 | no | — |
| 390 | C3×3−1+2 | — | 6 | 1 | no | — |
| 391 | C3×3−1+2 | — | 6 | 1 | no | — |
| 392 | C3×3−1+2 | — | 6 | 1 | no | — |
| 393 | C3×3−1+2 | — | 6 | 1 | no | — |
| 394 | C3×3−1+2 | — | 6 | 1 | no | — |
| 395 | C3×3−1+2 | — | 6 | 1 | no | — |
| 396 | C3×3−1+2 | — | 12 | 1 | no | — |
| 397 | C3×3−1+2 | — | 12 | 1 | no | — |
| 398 | C3×3−1+2 | — | 12 | 1 | no | — |
| 399 | C3×3−1+2 | — | 12 | 1 | no | — |
| 400 | C3×3−1+2 | — | 12 | 1 | no | — |
| 401 | C3×3−1+2 | — | 12 | 1 | no | — |
| 402 | C3×3−1+2 | — | 12 | 1 | no | — |
| 403 | C3×3−1+2 | — | 12 | 1 | no | — |
| 404 | C3×3−1+2 | — | 12 | 1 | no | — |
| 405 | C3×3−1+2 | — | 12 | 1 | no | — |
| 406 | C3×3−1+2 | — | 12 | 1 | no | — |
| 407 | C3×3−1+2 | — | 12 | 1 | no | — |
| 408 | C3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 409 | C3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 410 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 411 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 412 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 413 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 414 | C32×C9 | — | 2 | 1 | no | — |
| 415 | C32×C9 | — | 2 | 1 | no | — |
| 416 | C32×C9 | — | 2 | 1 | no | — |
| 417 | C32×C9 | — | 2 | 1 | no | — |
| 418 | C32×C9 | — | 2 | 1 | no | — |
| 419 | C32×C9 | — | 2 | 1 | no | — |
| 420 | C32×C9 | — | 2 | 1 | no | — |
| 421 | C32×C9 | — | 2 | 1 | no | — |
| 422 | C32×C9 | — | 2 | 1 | no | — |
| 423 | C32×C9 | — | 2 | 1 | no | — |
| 424 | C32×C9 | — | 2 | 1 | no | — |
| 425 | C32×C9 | — | 2 | 1 | no | — |
| 426 | C32×C9 | — | 3 | 1 | no | — |
| 427 | C32×C9 | — | 3 | 1 | no | — |
| 428 | C32×C9 | — | 4 | 1 | no | — |
| 429 | C32×C9 | — | 4 | 1 | no | — |
| 430 | C32×C9 | — | 4 | 1 | no | — |
| 431 | C32×C9 | — | 4 | 1 | no | — |
| 432 | C32×C9 | — | 4 | 1 | no | — |
| 433 | C32×C9 | — | 4 | 1 | no | — |
| 434 | C32×C9 | — | 6 | 1 | no | — |
| 435 | C32×C9 | — | 6 | 1 | no | — |
| 436 | C32×C9 | — | 6 | 1 | no | — |
| 437 | C32×C9 | — | 6 | 1 | no | — |
| 438 | C32×C9 | — | 6 | 1 | no | — |
| 439 | C32×C9 | — | 6 | 1 | no | — |
| 440 | C32×C9 | — | 12 | 1 | no | — |
| 441 | C32×C9 | — | 12 | 1 | no | — |
| 442 | C32×C9 | — | 12 | 3 | no | — |
| 443 | C32×C9 | — | 12 | 1 | no | — |
| 444 | C32×C9 | — | 12 | 1 | no | — |
| 445 | C32×C9 | C2×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic, complemented |
| 446 | C32×C9 | C22×3−1+2 | 1 | 1 | yes | characteristic, complemented |
| 447 | C32×C9 | C3×D32 | 1 | 1 | yes | characteristic |
| 448 | C32×C9 | C3×D32 | 1 | 1 | yes | characteristic |
| 449 | C32×C9 | C3×D32 | 1 | 1 | yes | characteristic |
| 450 | C32×C9 | C2×C32×D3 | 1 | 1 | yes | characteristic |
| 451 | C9⋊C9 | — | 6 | 1 | no | — |
| 452 | C9⋊C9 | — | 6 | 1 | no | — |
| 453 | C9⋊C9 | — | 6 | 1 | no | — |
| 454 | C9⋊C9 | — | 6 | 1 | no | — |
| 455 | C9⋊C9 | — | 6 | 1 | no | — |
| 456 | C9⋊C9 | — | 12 | 1 | no | — |
| 457 | C9⋊C9 | — | 12 | 1 | no | — |
| 458 | C9⋊C9 | — | 12 | 1 | no | — |
| 459 | C9⋊C9 | — | 12 | 1 | no | — |
| 460 | C9⋊C9 | — | 12 | 1 | no | — |
| 461 | C9⋊C9 | — | 12 | 1 | no | — |
| 462 | C9⋊C9 | — | 12 | 1 | no | — |
| 463 | C9⋊C9 | — | 12 | 1 | no | — |
| 464 | C9⋊C9 | — | 12 | 1 | no | — |
| 465 | C9⋊C9 | — | 12 | 1 | no | — |
| 466 | C9⋊C9 | — | 12 | 1 | no | — |
| 467 | C9⋊C9 | — | 12 | 1 | no | — |
| 468 | C9⋊C9 | — | 12 | 1 | no | — |
| 469 | C9⋊C9 | — | 12 | 1 | no | — |
| 470 | C9⋊C9 | — | 12 | 1 | no | — |
| 471 | C9⋊C9 | — | 12 | 1 | no | — |
| 472 | C9⋊C9 | — | 12 | 1 | no | — |
| 473 | C9⋊C9 | — | 12 | 1 | no | — |
| 474 | C32⋊C9 | — | 6 | 1 | no | — |
| 475 | C32⋊C9 | — | 6 | 1 | no | — |
| 476 | C32⋊C9 | — | 6 | 1 | no | — |
| 477 | C32⋊C9 | — | 6 | 1 | no | — |
| 478 | C32⋊C9 | — | 6 | 1 | no | — |
| 479 | C32⋊C9 | — | 6 | 1 | no | — |
| 480 | C32⋊C9 | — | 6 | 1 | no | — |
| 481 | C32⋊C9 | — | 6 | 1 | no | — |
| 482 | C32⋊C9 | — | 12 | 1 | no | — |
| 483 | C32⋊C9 | — | 12 | 1 | no | — |
| 484 | C32⋊C9 | — | 12 | 1 | no | — |
| 485 | C32⋊C9 | — | 12 | 1 | no | — |
| 486 | C32⋊C9 | — | 12 | 1 | no | — |
| 487 | C32⋊C9 | — | 12 | 1 | no | — |
| 488 | C32⋊C9 | — | 12 | 2 | no | — |
| 489 | C32⋊C9 | — | 12 | 1 | no | — |
| 490 | C32⋊C9 | — | 12 | 1 | no | — |
| 491 | C32⋊C9 | — | 12 | 1 | no | — |
| 492 | C32⋊C9 | — | 12 | 1 | no | — |
| 493 | C32⋊C9 | — | 12 | 1 | no | — |
| 494 | C32⋊C9 | — | 12 | 3 | no | — |
| 495 | C32⋊C9 | — | 12 | 3 | no | — |
| 496 | C32⋊C9 | — | 12 | 3 | no | — |
| 497 | C32⋊C9 | — | 12 | 1 | no | — |
| 498 | C32⋊C9 | — | 12 | 1 | no | — |
| 499 | C32⋊C9 | — | 12 | 1 | no | — |
| 500 | C32⋊C9 | — | 12 | 1 | no | — |
| 501 | C32⋊C9 | — | 12 | 1 | no | — |
| 502 | C92 | — | 2 | 1 | no | — |
| 503 | C92 | — | 2 | 1 | no | — |
| 504 | C92 | — | 4 | 1 | no | — |
| 505 | C92 | — | 6 | 1 | no | — |
| 506 | C92 | — | 6 | 1 | no | — |
| 507 | C92 | — | 12 | 1 | no | — |
| 508 | C92 | — | 12 | 1 | no | — |
| 509 | C92 | — | 12 | 1 | no | — |
| 510 | C92 | — | 12 | 2 | no | — |
| 511 | C92 | C2×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 512 | C2×C33 | — | 9 | 1 | no | — |
| 513 | C2×C33 | — | 9 | 1 | no | — |
| 514 | C2×C33 | — | 9 | 1 | no | — |
| 515 | C2×C33 | — | 18 | 1 | no | — |
| 516 | C3⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 517 | C3×C3⋊D3 | — | 2 | 1 | no | — |
| 518 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 519 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 520 | C3×C3⋊D3 | — | 18 | 1 | no | — |
| 521 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 522 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 523 | C3×C3⋊D3 | — | 54 | 1 | no | — |
| 524 | C3×C3⋊D3 | C3×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic |
| 525 | C3×C3⋊D3 | D3×3−1+2 | 1 | 1 | yes | characteristic |
| 526 | C32×D3 | — | 3 | 1 | no | — |
| 527 | C32×D3 | — | 3 | 1 | no | — |
| 528 | C32×D3 | — | 3 | 1 | no | — |
| 529 | C32×D3 | — | 6 | 1 | no | — |
| 530 | C32×D3 | — | 9 | 1 | no | — |
| 531 | C32×D3 | — | 9 | 1 | no | — |
| 532 | C32×D3 | — | 9 | 1 | no | — |
| 533 | C32×D3 | — | 9 | 1 | no | — |
| 534 | C32×D3 | — | 9 | 1 | no | — |
| 535 | C32×D3 | — | 9 | 1 | no | — |
| 536 | C32×D3 | — | 18 | 1 | no | — |
| 537 | C32×D3 | — | 18 | 1 | no | — |
| 538 | C32×D3 | — | 18 | 1 | no | — |
| 539 | C32×D3 | — | 18 | 1 | no | — |
| 540 | C32×D3 | — | 18 | 1 | no | — |
| 541 | C32×D3 | — | 18 | 1 | no | — |
| 542 | C32×D3 | — | 18 | 1 | no | — |
| 543 | C32×D3 | — | 27 | 1 | no | — |
| 544 | C32×D3 | — | 27 | 1 | no | — |
| 545 | C32×D3 | — | 54 | 1 | no | — |
| 546 | C2×3−1+2 | — | 27 | 1 | no | — |
| 547 | C2×3−1+2 | — | 27 | 1 | no | — |
| 548 | C2×3−1+2 | — | 27 | 1 | no | — |
| 549 | C2×3−1+2 | — | 54 | 1 | no | — |
| 550 | C2×3−1+2 | — | 54 | 1 | no | — |
| 551 | C2×3−1+2 | — | 54 | 1 | no | — |
| 552 | C2×3−1+2 | — | 54 | 1 | no | — |
| 553 | C2×3−1+2 | — | 54 | 1 | no | — |
| 554 | C2×3−1+2 | — | 54 | 1 | no | — |
| 555 | C2×3−1+2 | — | 81 | 1 | no | — |
| 556 | C2×H(3,𝔽3) | — | 27 | 1 | no | — |
| 557 | C2×H(3,𝔽3) | — | 54 | 1 | no | — |
| 558 | C2×C3×C9 | — | 9 | 1 | no | — |
| 559 | C2×C3×C9 | — | 9 | 1 | no | — |
| 560 | C2×C3×C9 | — | 9 | 1 | no | — |
| 561 | C2×C3×C9 | — | 9 | 1 | no | — |
| 562 | C2×C3×C9 | — | 9 | 1 | no | — |
| 563 | C2×C3×C9 | — | 9 | 1 | no | — |
| 564 | C2×C3×C9 | — | 9 | 1 | no | — |
| 565 | C2×C3×C9 | — | 18 | 1 | no | — |
| 566 | C2×C3×C9 | — | 18 | 1 | no | — |
| 567 | C2×C3×C9 | — | 18 | 1 | no | — |
| 568 | C2×C3×C9 | — | 18 | 1 | no | — |
| 569 | C2×C3×C9 | — | 18 | 1 | no | — |
| 570 | C2×C3×C9 | — | 18 | 1 | no | — |
| 571 | C2×C3×C9 | — | 18 | 1 | no | — |
| 572 | C2×C3×C9 | — | 27 | 1 | no | — |
| 573 | C2×C3×C9 | — | 54 | 1 | no | — |
| 574 | C3⋊D9 | — | 3 | 1 | no | — |
| 575 | C3⋊D9 | — | 6 | 1 | no | — |
| 576 | C3⋊D9 | — | 9 | 1 | no | — |
| 577 | C3⋊D9 | — | 18 | 1 | no | — |
| 578 | AGL(1,ℤ/9) | — | 9 | 1 | no | — |
| 579 | AGL(1,ℤ/9) | — | 18 | 1 | no | — |
| 580 | AGL(1,ℤ/9) | — | 27 | 1 | no | — |
| 581 | AGL(1,ℤ/9) | — | 54 | 1 | no | — |
| 582 | (C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 583 | (C3⋊D3)⋊C3 | — | 27 | 1 | no | — |
| 584 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 585 | D3×C9 | — | 3 | 1 | no | — |
| 586 | D3×C9 | — | 3 | 1 | no | — |
| 587 | D3×C9 | — | 3 | 1 | no | — |
| 588 | D3×C9 | — | 6 | 1 | no | — |
| 589 | D3×C9 | — | 6 | 1 | no | — |
| 590 | D3×C9 | — | 6 | 1 | no | — |
| 591 | D3×C9 | — | 9 | 1 | no | — |
| 592 | D3×C9 | — | 9 | 1 | no | — |
| 593 | D3×C9 | — | 9 | 1 | no | — |
| 594 | D3×C9 | — | 9 | 1 | no | — |
| 595 | D3×C9 | — | 18 | 1 | no | — |
| 596 | D3×C9 | — | 18 | 1 | no | — |
| 597 | D3×C9 | — | 18 | 1 | no | — |
| 598 | D3×C9 | — | 18 | 1 | no | — |
| 599 | D3×C9 | — | 18 | 1 | no | — |
| 600 | D3×C9 | — | 18 | 1 | no | — |
| 601 | D3×C9 | — | 18 | 1 | no | — |
| 602 | D3×C9 | — | 18 | 1 | no | — |
| 603 | D3×C9 | — | 18 | 1 | no | — |
| 604 | D3×C9 | — | 18 | 1 | no | — |
| 605 | D3×C9 | — | 18 | 1 | no | — |
| 606 | D3×C9 | — | 18 | 3 | no | — |
| 607 | D3×C9 | — | 27 | 1 | no | — |
| 608 | D3×C9 | — | 27 | 1 | no | — |
| 609 | D3×C9 | — | 27 | 1 | no | — |
| 610 | D3×C9 | — | 27 | 1 | no | — |
| 611 | D3×C9 | — | 27 | 1 | no | — |
| 612 | D3×C9 | — | 27 | 1 | no | — |
| 613 | D3×C9 | — | 54 | 1 | no | — |
| 614 | D3×C9 | — | 54 | 1 | no | — |
| 615 | D3×C9 | — | 54 | 1 | no | — |
| 616 | D3×C9 | — | 81 | 1 | no | — |
| 617 | D3×C9 | — | 162 | 1 | no | — |
| 618 | C3×D9 | — | 2 | 1 | no | — |
| 619 | C3×D9 | — | 3 | 1 | no | — |
| 620 | C3×D9 | — | 6 | 1 | no | — |
| 621 | C3×D9 | — | 9 | 1 | no | — |
| 622 | C3×D9 | — | 18 | 1 | no | — |
| 623 | C3×D9 | — | 54 | 1 | no | — |
| 624 | C3×D9 | C3×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 625 | C3×D9 | D3×3−1+2 | 1 | 1 | yes | characteristic |
| 626 | C22×C32 | — | 81 | 1 | no | — |
| 627 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 628 | C2×C3×D3 | — | 27 | 1 | no | — |
| 629 | C2×C3×D3 | — | 27 | 1 | no | — |
| 630 | C2×C3×D3 | — | 81 | 1 | no | — |
| 631 | C2×C3×D3 | — | 81 | 1 | no | — |
| 632 | C2×C3×D3 | — | 81 | 1 | no | — |
| 633 | D32 | — | 9 | 1 | no | — |
| 634 | D32 | — | 27 | 1 | no | — |
| 635 | C22×C9 | — | 81 | 1 | no | — |
| 636 | C22×C9 | — | 81 | 1 | no | — |
| 637 | C22×C9 | — | 81 | 1 | no | — |
| 638 | C2×D9 | — | 9 | 1 | no | — |
| 639 | C33 | — | 2 | 1 | no | — |
| 640 | C33 | — | 2 | 1 | no | — |
| 641 | C33 | — | 2 | 1 | no | — |
| 642 | C33 | — | 3 | 1 | no | — |
| 643 | C33 | — | 3 | 1 | no | — |
| 644 | C33 | — | 3 | 1 | no | — |
| 645 | C33 | — | 3 | 1 | no | — |
| 646 | C33 | — | 4 | 1 | no | — |
| 647 | C33 | — | 6 | 1 | no | — |
| 648 | C33 | — | 6 | 1 | no | — |
| 649 | C33 | — | 6 | 1 | no | — |
| 650 | C33 | — | 6 | 1 | no | — |
| 651 | C33 | — | 6 | 1 | no | — |
| 652 | C33 | — | 6 | 1 | no | — |
| 653 | C33 | — | 6 | 1 | no | — |
| 654 | C33 | — | 6 | 1 | no | — |
| 655 | C33 | — | 6 | 1 | no | — |
| 656 | C33 | — | 12 | 1 | no | — |
| 657 | C33 | — | 12 | 1 | no | — |
| 658 | C33 | — | 12 | 1 | no | — |
| 659 | C33 | — | 12 | 1 | no | — |
| 660 | C33 | — | 12 | 1 | no | — |
| 661 | C33 | — | 12 | 1 | no | — |
| 662 | C33 | — | 12 | 1 | no | — |
| 663 | C33 | C2×C3×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic |
| 664 | C33 | C2×D3×3−1+2 | 1 | 1 | yes | characteristic |
| 665 | C33 | C32×D32 | 1 | 1 | yes | characteristic |
| 666 | 3−1+2 | — | 9 | 1 | no | — |
| 667 | 3−1+2 | — | 9 | 1 | no | — |
| 668 | 3−1+2 | — | 18 | 1 | no | — |
| 669 | 3−1+2 | — | 18 | 1 | no | — |
| 670 | 3−1+2 | — | 18 | 1 | no | — |
| 671 | 3−1+2 | — | 36 | 1 | no | — |
| 672 | 3−1+2 | — | 36 | 1 | no | — |
| 673 | 3−1+2 | — | 36 | 1 | no | — |
| 674 | 3−1+2 | — | 36 | 1 | no | — |
| 675 | 3−1+2 | — | 36 | 1 | no | — |
| 676 | 3−1+2 | — | 36 | 1 | no | — |
| 677 | 3−1+2 | — | 36 | 1 | no | — |
| 678 | 3−1+2 | — | 36 | 1 | no | — |
| 679 | 3−1+2 | — | 36 | 1 | no | — |
| 680 | 3−1+2 | — | 36 | 1 | no | — |
| 681 | 3−1+2 | — | 36 | 1 | no | — |
| 682 | 3−1+2 | — | 36 | 1 | no | — |
| 683 | 3−1+2 | — | 36 | 1 | no | — |
| 684 | 3−1+2 | — | 36 | 1 | no | — |
| 685 | H(3,𝔽3) | — | 18 | 1 | no | — |
| 686 | H(3,𝔽3) | — | 18 | 1 | no | — |
| 687 | H(3,𝔽3) | — | 18 | 1 | no | — |
| 688 | H(3,𝔽3) | — | 36 | 1 | no | — |
| 689 | C3×C9 | — | 2 | 1 | no | — |
| 690 | C3×C9 | — | 2 | 1 | no | — |
| 691 | C3×C9 | — | 2 | 1 | no | — |
| 692 | C3×C9 | — | 2 | 1 | no | — |
| 693 | C3×C9 | — | 2 | 1 | no | — |
| 694 | C3×C9 | — | 2 | 1 | no | — |
| 695 | C3×C9 | — | 2 | 1 | no | — |
| 696 | C3×C9 | — | 2 | 1 | no | — |
| 697 | C3×C9 | — | 2 | 1 | no | — |
| 698 | C3×C9 | — | 3 | 1 | no | — |
| 699 | C3×C9 | — | 3 | 1 | no | — |
| 700 | C3×C9 | — | 3 | 1 | no | — |
| 701 | C3×C9 | — | 3 | 1 | no | — |
| 702 | C3×C9 | — | 4 | 1 | no | — |
| 703 | C3×C9 | — | 4 | 1 | no | — |
| 704 | C3×C9 | — | 4 | 3 | no | — |
| 705 | C3×C9 | — | 4 | 1 | no | — |
| 706 | C3×C9 | — | 4 | 1 | no | — |
| 707 | C3×C9 | — | 4 | 1 | no | — |
| 708 | C3×C9 | — | 6 | 1 | no | — |
| 709 | C3×C9 | — | 6 | 1 | no | — |
| 710 | C3×C9 | — | 6 | 1 | no | — |
| 711 | C3×C9 | — | 6 | 1 | no | — |
| 712 | C3×C9 | — | 6 | 1 | no | — |
| 713 | C3×C9 | — | 6 | 3 | no | — |
| 714 | C3×C9 | — | 6 | 1 | no | — |
| 715 | C3×C9 | — | 6 | 1 | no | — |
| 716 | C3×C9 | — | 6 | 1 | no | — |
| 717 | C3×C9 | — | 6 | 1 | no | — |
| 718 | C3×C9 | — | 6 | 1 | no | — |
| 719 | C3×C9 | — | 6 | 1 | no | — |
| 720 | C3×C9 | — | 6 | 1 | no | — |
| 721 | C3×C9 | — | 6 | 1 | no | — |
| 722 | C3×C9 | — | 6 | 1 | no | — |
| 723 | C3×C9 | — | 6 | 1 | no | — |
| 724 | C3×C9 | — | 6 | 1 | no | — |
| 725 | C3×C9 | — | 6 | 1 | no | — |
| 726 | C3×C9 | — | 12 | 1 | no | — |
| 727 | C3×C9 | — | 12 | 1 | no | — |
| 728 | C3×C9 | — | 12 | 1 | no | — |
| 729 | C3×C9 | — | 12 | 1 | no | — |
| 730 | C3×C9 | — | 12 | 2 | no | — |
| 731 | C3×C9 | — | 12 | 2 | no | — |
| 732 | C3×C9 | — | 12 | 1 | no | — |
| 733 | C3×C9 | — | 12 | 1 | no | — |
| 734 | C3×C9 | — | 12 | 3 | no | — |
| 735 | C3×C9 | — | 12 | 1 | no | — |
| 736 | C3×C9 | — | 12 | 1 | no | — |
| 737 | C3×C9 | — | 12 | 1 | no | — |
| 738 | C3×C9 | — | 12 | 1 | no | — |
| 739 | C3×C9 | — | 12 | 1 | no | — |
| 740 | C3×C9 | — | 12 | 3 | no | — |
| 741 | C3×C9 | — | 12 | 3 | no | — |
| 742 | C3×C9 | — | 12 | 1 | no | — |
| 743 | C3×C9 | — | 12 | 3 | no | — |
| 744 | C3×C9 | — | 12 | 1 | no | — |
| 745 | C3×C9 | — | 12 | 1 | no | — |
| 746 | C3×C9 | — | 12 | 1 | no | — |
| 747 | C3×C9 | — | 12 | 1 | no | — |
| 748 | C3×C9 | — | 12 | 1 | no | — |
| 749 | C3×C9 | — | 12 | 1 | no | — |
| 750 | C3×C9 | — | 12 | 1 | no | — |
| 751 | C3×C9 | — | 12 | 1 | no | — |
| 752 | C3×C9 | — | 12 | 1 | no | — |
| 753 | C3×C9 | — | 12 | 1 | no | — |
| 754 | C3×C9 | — | 12 | 1 | no | — |
| 755 | C3×C9 | — | 12 | 1 | no | — |
| 756 | C3×C9 | — | 12 | 1 | no | — |
| 757 | C3×C9 | — | 12 | 1 | no | — |
| 758 | C3×C9 | — | 12 | 1 | no | — |
| 759 | C3×C9 | — | 12 | 1 | no | — |
| 760 | C3×C9 | — | 12 | 1 | no | — |
| 761 | C3×C9 | — | 12 | 1 | no | — |
| 762 | C3×C9 | — | 12 | 1 | no | — |
| 763 | C3×C9 | — | 12 | 1 | no | — |
| 764 | C3×C9 | — | 12 | 1 | no | — |
| 765 | C3×C9 | — | 12 | 1 | no | — |
| 766 | C3×C9 | — | 12 | 1 | no | — |
| 767 | C3×C9 | D3×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 768 | C3×C9 | D3×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic |
| 769 | C3×C9 | C2×C3×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 770 | C3×C9 | C2×D3×3−1+2 | 1 | 1 | yes | characteristic |
| 771 | C2×C32 | — | 9 | 1 | no | — |
| 772 | C2×C32 | — | 9 | 1 | no | — |
| 773 | C2×C32 | — | 9 | 1 | no | — |
| 774 | C2×C32 | — | 18 | 1 | no | — |
| 775 | C2×C32 | — | 27 | 1 | no | — |
| 776 | C2×C32 | — | 27 | 1 | no | — |
| 777 | C2×C32 | — | 27 | 1 | no | — |
| 778 | C2×C32 | — | 54 | 1 | no | — |
| 779 | C2×C32 | — | 54 | 1 | no | — |
| 780 | C2×C32 | — | 54 | 1 | no | — |
| 781 | C2×C32 | — | 54 | 1 | no | — |
| 782 | C2×C32 | — | 54 | 1 | no | — |
| 783 | C2×C32 | — | 54 | 1 | no | — |
| 784 | C2×C32 | — | 54 | 1 | no | — |
| 785 | C2×C32 | — | 54 | 1 | no | — |
| 786 | C2×C32 | — | 54 | 1 | no | — |
| 787 | C2×C32 | — | 81 | 1 | no | — |
| 788 | C3⋊D3 | — | 9 | 1 | no | — |
| 789 | C3⋊D3 | — | 9 | 1 | no | — |
| 790 | C3⋊D3 | — | 18 | 1 | no | — |
| 791 | C3⋊D3 | — | 27 | 1 | no | — |
| 792 | C3⋊D3 | — | 54 | 1 | no | — |
| 793 | C3⋊D3 | #92264 | 1 | 1 | yes | characteristic, complemented |
| 794 | C3×D3 | — | 3 | 1 | no | — |
| 795 | C3×D3 | — | 3 | 1 | no | — |
| 796 | C3×D3 | — | 3 | 1 | no | — |
| 797 | C3×D3 | — | 3 | 1 | no | — |
| 798 | C3×D3 | — | 6 | 1 | no | — |
| 799 | C3×D3 | — | 6 | 1 | no | — |
| 800 | C3×D3 | — | 9 | 1 | no | — |
| 801 | C3×D3 | — | 9 | 1 | no | — |
| 802 | C3×D3 | — | 9 | 1 | no | — |
| 803 | C3×D3 | — | 18 | 1 | no | — |
| 804 | C3×D3 | — | 18 | 1 | no | — |
| 805 | C3×D3 | — | 27 | 1 | no | — |
| 806 | C3×D3 | — | 27 | 1 | no | — |
| 807 | C3×D3 | — | 54 | 1 | no | — |
| 808 | C3×D3 | — | 54 | 1 | no | — |
| 809 | C3×D3 | — | 54 | 1 | no | — |
| 810 | C3×D3 | — | 54 | 1 | no | — |
| 811 | C3×D3 | — | 81 | 1 | no | — |
| 812 | C3×D3 | — | 81 | 1 | no | — |
| 813 | C3×D3 | — | 81 | 1 | no | — |
| 814 | C3×D3 | — | 162 | 1 | no | — |
| 815 | C3×D3 | — | 162 | 1 | no | — |
| 816 | C2×C9 | — | 9 | 1 | no | — |
| 817 | C2×C9 | — | 9 | 1 | no | — |
| 818 | C2×C9 | — | 9 | 1 | no | — |
| 819 | C2×C9 | — | 18 | 1 | no | — |
| 820 | C2×C9 | — | 18 | 1 | no | — |
| 821 | C2×C9 | — | 18 | 1 | no | — |
| 822 | C2×C9 | — | 27 | 1 | no | — |
| 823 | C2×C9 | — | 27 | 1 | no | — |
| 824 | C2×C9 | — | 54 | 1 | no | — |
| 825 | C2×C9 | — | 54 | 1 | no | — |
| 826 | C2×C9 | — | 54 | 1 | no | — |
| 827 | C2×C9 | — | 54 | 1 | no | — |
| 828 | C2×C9 | — | 54 | 1 | no | — |
| 829 | C2×C9 | — | 54 | 1 | no | — |
| 830 | C2×C9 | — | 54 | 1 | no | — |
| 831 | C2×C9 | — | 54 | 1 | no | — |
| 832 | C2×C9 | — | 54 | 1 | no | — |
| 833 | C2×C9 | — | 81 | 1 | no | — |
| 834 | C2×C9 | — | 81 | 1 | no | — |
| 835 | C2×C9 | — | 81 | 1 | no | — |
| 836 | D9 | — | 9 | 1 | no | — |
| 837 | D9 | — | 18 | 1 | no | — |
| 838 | D9 | — | 54 | 1 | no | — |
| 839 | D9 | #92262 | 1 | 1 | yes | characteristic, complemented |
| 840 | C22×C3 | — | 81 | 1 | no | — |
| 841 | C22×C3 | — | 243 | 1 | no | — |
| 842 | C2×D3 | — | 27 | 1 | no | — |
| 843 | C2×D3 | — | 27 | 1 | no | — |
| 844 | C2×D3 | — | 81 | 1 | no | — |
| 845 | C32 | — | 2 | 1 | no | — |
| 846 | C32 | — | 2 | 1 | no | — |
| 847 | C32 | — | 2 | 1 | no | — |
| 848 | C32 | — | 2 | 1 | no | — |
| 849 | C32 | — | 2 | 1 | no | — |
| 850 | C32 | — | 3 | 1 | no | — |
| 851 | C32 | — | 3 | 1 | no | — |
| 852 | C32 | — | 4 | 1 | no | — |
| 853 | C32 | — | 4 | 1 | no | — |
| 854 | C32 | — | 6 | 1 | no | — |
| 855 | C32 | — | 6 | 1 | no | — |
| 856 | C32 | — | 6 | 1 | no | — |
| 857 | C32 | — | 6 | 1 | no | — |
| 858 | C32 | — | 6 | 1 | no | — |
| 859 | C32 | — | 12 | 1 | no | — |
| 860 | C32 | — | 12 | 1 | no | — |
| 861 | C32 | — | 12 | 1 | no | — |
| 862 | C32 | — | 12 | 1 | no | — |
| 863 | C32 | — | 12 | 2 | no | — |
| 864 | C32 | — | 18 | 1 | no | — |
| 865 | C32 | — | 18 | 1 | no | — |
| 866 | C32 | — | 18 | 1 | no | — |
| 867 | C32 | — | 18 | 1 | no | — |
| 868 | C32 | — | 36 | 1 | no | — |
| 869 | C32 | — | 36 | 1 | no | — |
| 870 | C32 | — | 36 | 1 | no | — |
| 871 | C32 | — | 36 | 1 | no | — |
| 872 | C32 | — | 36 | 1 | no | — |
| 873 | C32 | — | 36 | 1 | no | — |
| 874 | C32 | — | 36 | 1 | no | — |
| 875 | C32 | — | 36 | 1 | no | — |
| 876 | C32 | — | 36 | 1 | no | — |
| 877 | C32 | — | 36 | 1 | no | — |
| 878 | C32 | — | 36 | 1 | no | — |
| 879 | C32 | — | 36 | 1 | no | — |
| 880 | C32 | C2×#92264 | 1 | 1 | yes | characteristic, complemented |
| 881 | C32 | C3×D3×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 882 | C32 | C3×D3×AGL(1,ℤ/9) | 1 | 1 | yes | characteristic |
| 883 | C32 | D32×3−1+2 | 1 | 1 | yes | characteristic |
| 884 | C9 | — | 2 | 1 | no | — |
| 885 | C9 | — | 2 | 1 | no | — |
| 886 | C9 | — | 2 | 1 | no | — |
| 887 | C9 | — | 2 | 1 | no | — |
| 888 | C9 | — | 4 | 1 | no | — |
| 889 | C9 | — | 4 | 1 | no | — |
| 890 | C9 | — | 6 | 1 | no | — |
| 891 | C9 | — | 6 | 1 | no | — |
| 892 | C9 | — | 6 | 1 | no | — |
| 893 | C9 | — | 9 | 1 | no | — |
| 894 | C9 | — | 12 | 3 | no | — |
| 895 | C9 | — | 12 | 1 | no | — |
| 896 | C9 | — | 12 | 1 | no | — |
| 897 | C9 | — | 12 | 1 | no | — |
| 898 | C9 | — | 18 | 1 | no | — |
| 899 | C9 | — | 18 | 1 | no | — |
| 900 | C9 | — | 18 | 1 | no | — |
| 901 | C9 | — | 18 | 1 | no | — |
| 902 | C9 | — | 18 | 1 | no | — |
| 903 | C9 | — | 36 | 1 | no | — |
| 904 | C9 | — | 36 | 1 | no | — |
| 905 | C9 | — | 36 | 1 | no | — |
| 906 | C9 | — | 36 | 1 | no | — |
| 907 | C9 | D9⋊((C3⋊D3)⋊C3) | 1 | 1 | yes | characteristic, complemented |
| 908 | C9 | C2×#92262 | 1 | 1 | yes | characteristic, complemented |
| 909 | C2×C3 | — | 9 | 1 | no | — |
| 910 | C2×C3 | — | 9 | 1 | no | — |
| 911 | C2×C3 | — | 9 | 1 | no | — |
| 912 | C2×C3 | — | 9 | 1 | no | — |
| 913 | C2×C3 | — | 18 | 1 | no | — |
| 914 | C2×C3 | — | 18 | 1 | no | — |
| 915 | C2×C3 | — | 27 | 1 | no | — |
| 916 | C2×C3 | — | 54 | 1 | no | — |
| 917 | C2×C3 | — | 81 | 1 | no | — |
| 918 | C2×C3 | — | 81 | 1 | no | — |
| 919 | C2×C3 | — | 81 | 1 | no | — |
| 920 | C2×C3 | — | 162 | 1 | no | — |
| 921 | C2×C3 | — | 243 | 1 | no | — |
| 922 | D3 | — | 3 | 1 | no | — |
| 923 | D3 | — | 3 | 1 | no | — |
| 924 | D3 | — | 9 | 1 | no | — |
| 925 | D3 | — | 27 | 1 | no | — |
| 926 | D3 | — | 27 | 1 | no | — |
| 927 | D3 | — | 54 | 1 | no | — |
| 928 | D3 | — | 81 | 1 | no | — |
| 929 | D3 | — | 162 | 1 | no | — |
| 930 | C22 | — | 81 | 1 | no | Sylow |
| 931 | C3 | — | 2 | 1 | no | — |
| 932 | C3 | — | 2 | 1 | no | — |
| 933 | C3 | — | 2 | 1 | no | — |
| 934 | C3 | — | 3 | 1 | no | — |
| 935 | C3 | — | 4 | 1 | no | — |
| 936 | C3 | — | 6 | 1 | no | — |
| 937 | C3 | — | 6 | 1 | no | — |
| 938 | C3 | — | 12 | 1 | no | — |
| 939 | C3 | — | 27 | 1 | no | — |
| 940 | C3 | — | 108 | 1 | no | — |
| 941 | C3 | D3×#92264 | 1 | 1 | yes | characteristic |
| 942 | C3 | C3×D9⋊((C3⋊D3)⋊C3) | 1 | 1 | yes | characteristic |
| 943 | C3 | D3×#92262 | 1 | 1 | yes | characteristic |
| 944 | C2 | — | 9 | 1 | no | — |
| 945 | C2 | — | 9 | 1 | no | — |
| 946 | C2 | — | 81 | 1 | no | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #72244095 | C3 | semidirect |
| 3. #72244095 | C3 | semidirect |
| 5. #72243902 | C2 | semidirect |
| 6. #72243844 | C2 | semidirect |
| 7. #72243704 | C2 | semidirect |
| 9. C9×D9×C3⋊D3 | C3 | semidirect |
| 10. #14552609 | C22 | semidirect |
| 14. C3×#92264 | D3 | semidirect |
| 21. C9×C3⋊(C3⋊D9) | C2×C3 | semidirect |
| 22. C92×C3⋊D3 | C2×C3 | semidirect |
| 23. C32×C9×D9 | C2×C3 | semidirect |
| 31. #13090624 | C2×C3 | semidirect |
| 32. #13090624 | C2×C3 | semidirect |
| 33. #13090623 | C2×C3 | semidirect |
| 34. #13090623 | C2×C3 | semidirect |
| 36. #13090622 | C2×C3 | semidirect |
| 37. #13090622 | C2×C3 | semidirect |
| 53. C3×#6896 | C2×D3 | semidirect |
| 56. C32×C92 | C22×C3 | semidirect |
| 69. #10624548 | C22×C3 | semidirect |
| 70. #10624548 | C22×C3 | semidirect |
| 151. D9×C3⋊D3 | 3−1+2 | semidirect |
| 250. C3⋊(C3⋊D9) | C2×3−1+2 | semidirect |
| 263. C9×C3⋊D3 | AGL(1,ℤ/9) | semidirect |
| 264. C9×C3⋊D3 | C2×3−1+2 | semidirect |
| 319. C32×D9 | C2×3−1+2 | semidirect |
| 356. C9×D9 | (C3⋊D3)⋊C3 | semidirect |
| 445. C32×C9 | C2×AGL(1,ℤ/9) | semidirect |
| 446. C32×C9 | C22×3−1+2 | semidirect |
| 511. C92 | C2×(C3⋊D3)⋊C3 | semidirect |
| 793. C3⋊D3 | #92264 | semidirect |
| 839. D9 | #92262 | semidirect |
| 880. C32 | C2×#92264 | semidirect |
| 907. C9 | D9⋊((C3⋊D3)⋊C3) | semidirect |
| 908. C9 | C2×#92262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D3×#92262 | 3 |
| #72244095 | 3 |
| C3×D9⋊((C3⋊D3)⋊C3) | 3 |
| #72243902 | 2 |
| #72243844 | 2 |
| #72243704 | 2 |
| D3×#92264 | 3 |
| C9×D9×C3⋊D3 | 3 |