| 1 | C32×#578 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C32×#576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C32×#510 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | C32×#509 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | C32×#508 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | C2×C32×SD32 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C32×#504 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C3×#3416 | C3 | 1 | 4 | yes | maximal, direct product factor |
| 9 | C32×2−1+4 | — | 2 | 1 | no | — |
| 10 | C32×H(5,𝔽2) | — | 2 | 1 | no | — |
| 11 | C32×#137 | — | 2 | 3 | no | — |
| 12 | C32×AGL(1,ℤ/8) | — | 2 | 3 | no | — |
| 13 | C32×#135 | C22 | 1 | 3 | yes | — |
| 14 | C32×#135 | C22 | 1 | 3 | yes | complemented |
| 15 | C2×C32×Q16 | C22 | 1 | 3 | yes | complemented |
| 16 | C2×C32×D8 | C22 | 1 | 3 | yes | — |
| 17 | C32×#131 | C22 | 1 | 1 | yes | characteristic |
| 18 | C32×Q32 | C22 | 1 | 3 | yes | complemented |
| 19 | C32×SD32 | C22 | 1 | 3 | yes | complemented |
| 20 | C32×SD32 | C22 | 1 | 6 | yes | complemented |
| 21 | C32×SD32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C32×D16 | C22 | 1 | 3 | yes | complemented |
| 23 | C32×M32 | C22 | 1 | 3 | yes | complemented |
| 24 | C2×C32×C16 | C22 | 1 | 3 | yes | complemented |
| 25 | C3×#578 | C2×C3 | 1 | 4 | yes | complemented |
| 26 | C3×#576 | C2×C3 | 1 | 4 | yes | complemented |
| 27 | C3×#510 | C2×C3 | 1 | 12 | yes | complemented |
| 28 | C3×#509 | C2×C3 | 1 | 12 | yes | complemented |
| 29 | C3×#508 | C2×C3 | 1 | 12 | yes | complemented |
| 30 | C2×C3×SD32 | C2×C3 | 1 | 12 | yes | complemented |
| 31 | C3×#504 | C2×C3 | 1 | 4 | yes | complemented |
| 32 | C32×#41 | — | 2 | 3 | no | — |
| 33 | C32×#41 | — | 2 | 3 | no | — |
| 34 | C32×#41 | — | 4 | 1 | no | — |
| 35 | C32×#41 | — | 4 | 3 | no | — |
| 36 | C32×#41 | D4 | 1 | 1 | yes | characteristic |
| 37 | C2×C32×Q8 | — | 2 | 3 | no | — |
| 38 | C2×C32×Q8 | — | 4 | 1 | no | — |
| 39 | C2×C32×D4 | — | 2 | 3 | no | — |
| 40 | C2×C32×D4 | — | 4 | 3 | no | — |
| 41 | C32×Q16 | — | 2 | 3 | no | — |
| 42 | C32×Q16 | C23 | 1 | 3 | yes | — |
| 43 | C32×Q16 | C23 | 1 | 1 | yes | characteristic |
| 44 | C32×SD16 | — | 2 | 3 | no | — |
| 45 | C32×SD16 | — | 2 | 3 | no | — |
| 46 | C32×D8 | — | 2 | 3 | no | — |
| 47 | C32×D8 | C23 | 1 | 3 | yes | — |
| 48 | C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 49 | C32×M16 | D4 | 1 | 3 | yes | — |
| 50 | C2×C32×C8 | C23 | 1 | 3 | yes | — |
| 51 | C32×C16 | C23 | 1 | 1 | yes | characteristic |
| 52 | C32×C16 | C23 | 1 | 3 | yes | — |
| 53 | #3416 | C32 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 54 | C3×2−1+4 | — | 2 | 4 | no | — |
| 55 | C3×H(5,𝔽2) | — | 2 | 4 | no | — |
| 56 | C3×#137 | — | 2 | 12 | no | — |
| 57 | C3×AGL(1,ℤ/8) | — | 2 | 12 | no | — |
| 58 | C3×#135 | C22×C3 | 1 | 12 | yes | — |
| 59 | C3×#135 | C22×C3 | 1 | 12 | yes | complemented |
| 60 | C2×C3×Q16 | C22×C3 | 1 | 12 | yes | complemented |
| 61 | C2×C3×D8 | C22×C3 | 1 | 12 | yes | — |
| 62 | C3×#131 | C22×C3 | 1 | 4 | yes | — |
| 63 | C3×Q32 | C22×C3 | 1 | 12 | yes | complemented |
| 64 | C3×SD32 | C22×C3 | 1 | 12 | yes | complemented |
| 65 | C3×SD32 | C22×C3 | 1 | 24 | yes | complemented |
| 66 | C3×SD32 | C22×C3 | 1 | 4 | yes | complemented |
| 67 | C3×D16 | C22×C3 | 1 | 12 | yes | complemented |
| 68 | C3×M32 | C22×C3 | 1 | 12 | yes | complemented |
| 69 | C2×C3×C16 | C22×C3 | 1 | 12 | yes | complemented |
| 70 | C23×C32 | — | 4 | 3 | no | — |
| 71 | C32×Q8 | — | 2 | 1 | no | — |
| 72 | C32×Q8 | — | 2 | 3 | no | — |
| 73 | C32×Q8 | — | 4 | 3 | no | — |
| 74 | C32×Q8 | D8 | 1 | 1 | yes | characteristic |
| 75 | C32×D4 | — | 2 | 3 | no | — |
| 76 | C32×D4 | — | 2 | 1 | no | — |
| 77 | C32×D4 | — | 4 | 3 | no | — |
| 78 | C32×D4 | — | 4 | 3 | no | — |
| 79 | C32×D4 | — | 4 | 3 | no | — |
| 80 | C32×D4 | D8 | 1 | 3 | yes | — |
| 81 | C2×C32×C4 | — | 4 | 3 | no | — |
| 82 | C2×C32×C4 | — | 4 | 3 | no | — |
| 83 | C2×C32×C4 | — | 4 | 3 | no | — |
| 84 | C2×C32×C4 | C2×D4 | 1 | 3 | yes | — |
| 85 | C32×C8 | C2×D4 | 1 | 3 | yes | — |
| 86 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 87 | #578 | C2×C32 | 1 | 1 | yes | characteristic, complemented |
| 88 | #576 | C2×C32 | 1 | 1 | yes | characteristic, complemented |
| 89 | #510 | C2×C32 | 1 | 3 | yes | complemented |
| 90 | #509 | C2×C32 | 1 | 3 | yes | complemented |
| 91 | #508 | C2×C32 | 1 | 3 | yes | complemented |
| 92 | C2×SD32 | C2×C32 | 1 | 3 | yes | complemented |
| 93 | #504 | C2×C32 | 1 | 1 | yes | characteristic, complemented |
| 94 | C3×#41 | — | 2 | 12 | no | — |
| 95 | C3×#41 | — | 2 | 12 | no | — |
| 96 | C3×#41 | — | 4 | 4 | no | — |
| 97 | C3×#41 | — | 4 | 12 | no | — |
| 98 | C3×#41 | C3×D4 | 1 | 4 | yes | — |
| 99 | C2×C3×Q8 | — | 2 | 12 | no | — |
| 100 | C2×C3×Q8 | — | 4 | 4 | no | — |
| 101 | C2×C3×D4 | — | 2 | 12 | no | — |
| 102 | C2×C3×D4 | — | 4 | 12 | no | — |
| 103 | C3×Q16 | — | 2 | 12 | no | — |
| 104 | C3×Q16 | C23×C3 | 1 | 12 | yes | — |
| 105 | C3×Q16 | C23×C3 | 1 | 4 | yes | — |
| 106 | C3×SD16 | — | 2 | 12 | no | — |
| 107 | C3×SD16 | — | 2 | 12 | no | — |
| 108 | C3×D8 | — | 2 | 12 | no | — |
| 109 | C3×D8 | C23×C3 | 1 | 4 | yes | — |
| 110 | C3×D8 | C23×C3 | 1 | 12 | yes | — |
| 111 | C3×M16 | C3×D4 | 1 | 12 | yes | — |
| 112 | C2×C3×C8 | C23×C3 | 1 | 12 | yes | — |
| 113 | C3×C16 | C23×C3 | 1 | 4 | yes | — |
| 114 | C3×C16 | C23×C3 | 1 | 12 | yes | — |
| 115 | C22×C32 | — | 4 | 1 | no | — |
| 116 | C22×C32 | — | 4 | 3 | no | — |
| 117 | C22×C32 | — | 16 | 3 | no | — |
| 118 | C22×C32 | C2×D8 | 1 | 3 | yes | — |
| 119 | C32×C4 | — | 4 | 1 | no | — |
| 120 | C32×C4 | — | 4 | 3 | no | — |
| 121 | C32×C4 | C2×D8 | 1 | 3 | yes | — |
| 122 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 123 | 2−1+4 | — | 2 | 1 | no | — |
| 124 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 125 | #137 | — | 2 | 3 | no | — |
| 126 | AGL(1,ℤ/8) | — | 2 | 3 | no | — |
| 127 | #135 | C22×C32 | 1 | 3 | yes | — |
| 128 | #135 | C22×C32 | 1 | 3 | yes | complemented |
| 129 | C2×Q16 | C22×C32 | 1 | 3 | yes | complemented |
| 130 | C2×D8 | C22×C32 | 1 | 3 | yes | — |
| 131 | #131 | C22×C32 | 1 | 1 | yes | characteristic |
| 132 | Q32 | C22×C32 | 1 | 3 | yes | complemented |
| 133 | SD32 | C22×C32 | 1 | 3 | yes | complemented |
| 134 | SD32 | C22×C32 | 1 | 6 | yes | complemented |
| 135 | SD32 | C22×C32 | 1 | 1 | yes | characteristic, complemented |
| 136 | D16 | C22×C32 | 1 | 3 | yes | complemented |
| 137 | M32 | C22×C32 | 1 | 3 | yes | complemented |
| 138 | C2×C16 | C22×C32 | 1 | 3 | yes | complemented |
| 139 | C23×C3 | — | 4 | 12 | no | — |
| 140 | C3×Q8 | — | 2 | 4 | no | — |
| 141 | C3×Q8 | — | 2 | 12 | no | — |
| 142 | C3×Q8 | — | 4 | 12 | no | — |
| 143 | C3×Q8 | C3×D8 | 1 | 4 | yes | — |
| 144 | C3×D4 | — | 2 | 12 | no | — |
| 145 | C3×D4 | — | 2 | 4 | no | — |
| 146 | C3×D4 | — | 4 | 12 | no | — |
| 147 | C3×D4 | — | 4 | 12 | no | — |
| 148 | C3×D4 | — | 4 | 12 | no | — |
| 149 | C3×D4 | C3×D8 | 1 | 12 | yes | — |
| 150 | C2×C3×C4 | — | 4 | 12 | no | — |
| 151 | C2×C3×C4 | — | 4 | 12 | no | — |
| 152 | C2×C3×C4 | — | 4 | 12 | no | — |
| 153 | C2×C3×C4 | C2×C3×D4 | 1 | 12 | yes | — |
| 154 | C3×C8 | C2×C3×D4 | 1 | 12 | yes | — |
| 155 | C3×C8 | C24×C3 | 1 | 4 | yes | — |
| 156 | C2×C32 | — | 2 | 3 | no | — |
| 157 | C2×C32 | — | 8 | 1 | no | — |
| 158 | C2×C32 | — | 8 | 3 | no | — |
| 159 | C2×C32 | C22×D8 | 1 | 1 | yes | characteristic |
| 160 | #41 | — | 2 | 3 | no | — |
| 161 | #41 | — | 2 | 3 | no | — |
| 162 | #41 | — | 4 | 1 | no | — |
| 163 | #41 | — | 4 | 3 | no | — |
| 164 | #41 | C32×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×Q8 | — | 2 | 3 | no | — |
| 166 | C2×Q8 | — | 4 | 1 | no | — |
| 167 | C2×D4 | — | 2 | 3 | no | — |
| 168 | C2×D4 | — | 4 | 3 | no | — |
| 169 | Q16 | — | 2 | 3 | no | — |
| 170 | Q16 | C23×C32 | 1 | 3 | yes | — |
| 171 | Q16 | C23×C32 | 1 | 1 | yes | characteristic |
| 172 | SD16 | — | 2 | 3 | no | — |
| 173 | SD16 | — | 2 | 3 | no | — |
| 174 | D8 | — | 2 | 3 | no | — |
| 175 | D8 | C23×C32 | 1 | 1 | yes | characteristic |
| 176 | D8 | C23×C32 | 1 | 3 | yes | — |
| 177 | M16 | C32×D4 | 1 | 3 | yes | — |
| 178 | C2×C8 | C23×C32 | 1 | 3 | yes | — |
| 179 | C16 | C23×C32 | 1 | 1 | yes | characteristic |
| 180 | C16 | C23×C32 | 1 | 3 | yes | — |
| 181 | C22×C3 | — | 4 | 4 | no | — |
| 182 | C22×C3 | — | 4 | 12 | no | — |
| 183 | C22×C3 | — | 16 | 12 | no | — |
| 184 | C22×C3 | C2×C3×D8 | 1 | 12 | yes | — |
| 185 | C3×C4 | — | 4 | 4 | no | — |
| 186 | C3×C4 | — | 4 | 12 | no | — |
| 187 | C3×C4 | C2×C3×D8 | 1 | 12 | yes | — |
| 188 | C3×C4 | C22×C3×D4 | 1 | 4 | yes | — |
| 189 | C32 | #3416 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 190 | C23 | — | 4 | 3 | no | — |
| 191 | Q8 | — | 2 | 1 | no | — |
| 192 | Q8 | — | 2 | 3 | no | — |
| 193 | Q8 | — | 4 | 3 | no | — |
| 194 | Q8 | C32×D8 | 1 | 1 | yes | characteristic |
| 195 | D4 | — | 2 | 3 | no | — |
| 196 | D4 | — | 2 | 1 | no | — |
| 197 | D4 | — | 4 | 3 | no | — |
| 198 | D4 | — | 4 | 3 | no | — |
| 199 | D4 | — | 4 | 3 | no | — |
| 200 | D4 | C32×D8 | 1 | 3 | yes | — |
| 201 | C2×C4 | — | 4 | 3 | no | — |
| 202 | C2×C4 | — | 4 | 3 | no | — |
| 203 | C2×C4 | — | 4 | 3 | no | — |
| 204 | C2×C4 | C2×C32×D4 | 1 | 3 | yes | — |
| 205 | C8 | C2×C32×D4 | 1 | 3 | yes | — |
| 206 | C8 | C24×C32 | 1 | 1 | yes | characteristic |
| 207 | C2×C3 | — | 2 | 12 | no | — |
| 208 | C2×C3 | — | 8 | 12 | no | — |
| 209 | C2×C3 | — | 8 | 4 | no | — |
| 210 | C2×C3 | C22×C3×D8 | 1 | 4 | yes | — |
| 211 | C22 | — | 4 | 1 | no | — |
| 212 | C22 | — | 4 | 3 | no | — |
| 213 | C22 | — | 16 | 3 | no | — |
| 214 | C22 | C2×C32×D8 | 1 | 3 | yes | — |
| 215 | C4 | — | 4 | 1 | no | — |
| 216 | C4 | — | 4 | 3 | no | — |
| 217 | C4 | C2×C32×D8 | 1 | 3 | yes | — |
| 218 | C4 | C22×C32×D4 | 1 | 1 | yes | characteristic |
| 219 | C3 | C3×#3416 | 1 | 4 | yes | direct product factor |
| 220 | C2 | — | 2 | 3 | no | — |
| 221 | C2 | — | 8 | 3 | no | — |
| 222 | C2 | — | 8 | 1 | no | — |
| 223 | C2 | C22×C32×D8 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta