| 1 | AGL(1,𝔽5)×#1161 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 2 | #72217833 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | D5×#66659 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #72217707 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | AGL(1,𝔽5)×C4⋊AGL(1,𝔽7) | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | Q8×ΓL(1,𝔽8)⋊AGL(1,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | Q8×AGL(1,𝔽5)×ΓL(1,𝔽8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C4×AGL(1,𝔽5)×AGL(1,𝔽7) | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | C2×AGL(1,𝔽5)×AGL(1,𝔽7) | C22 | 1 | 3 | yes | — |
| 10 | C2×AGL(1,𝔽5)×AGL(1,𝔽7) | C22 | 1 | 3 | yes | — |
| 11 | #13132582 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | Q8×D5×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic |
| 13 | C5×#66659 | C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | D5×C4⋊AGL(1,𝔽7) | C22 | 1 | 3 | yes | — |
| 15 | C4×D5×AGL(1,𝔽7) | C22 | 1 | 3 | yes | — |
| 16 | #10587946⋊C3 | C4 | 1 | 3 | yes | complemented |
| 17 | #10587939⋊C3 | C4 | 1 | 3 | yes | complemented |
| 18 | C4⋊(ΓL(1,𝔽8)⋊AGL(1,𝔽5)) | C22 | 1 | 3 | yes | — |
| 19 | C4×ΓL(1,𝔽8)⋊AGL(1,𝔽5) | C22 | 1 | 3 | yes | — |
| 20 | ΓL(1,𝔽8)×C4⋊AGL(1,𝔽5) | C22 | 1 | 3 | yes | — |
| 21 | C4×AGL(1,𝔽5)×ΓL(1,𝔽8) | C22 | 1 | 3 | yes | — |
| 22 | (C2×AGL(1,𝔽5))⋊AGL(1,𝔽7) | C22 | 1 | 6 | yes | — |
| 23 | AGL(1,𝔽5)×ΓL(1,𝔽8)⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 24 | AGL(1,𝔽5)×ΓL(1,𝔽8)⋊C4 | C22 | 1 | 3 | yes | — |
| 25 | C4×#66659 | — | 5 | 1 | no | maximal, Hall |
| 26 | D5×#1161 | C2×C3 | 1 | 1 | yes | characteristic |
| 27 | Q8×C7⋊AGL(1,𝔽5) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 28 | C7×Q8×AGL(1,𝔽5) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 29 | #11765324 | C2×C3 | 1 | 3 | yes | complemented |
| 30 | AGL(1,𝔽5)×D28 | C2×C3 | 1 | 3 | yes | complemented |
| 31 | C4×D7×AGL(1,𝔽5) | C2×C3 | 1 | 3 | yes | complemented |
| 32 | #11765312 | C2×C3 | 1 | 3 | yes | complemented |
| 33 | C3×#41×AGL(1,𝔽5) | — | 7 | 1 | no | maximal, Hall |
| 34 | C2×D5×AGL(1,𝔽7) | C23 | 1 | 3 | yes | — |
| 35 | C2×ΓL(1,𝔽8)⋊AGL(1,𝔽5) | C23 | 1 | 3 | yes | — |
| 36 | C2×ΓL(1,𝔽8)⋊AGL(1,𝔽5) | C23 | 1 | 1 | yes | characteristic |
| 37 | C2×AGL(1,𝔽5)×ΓL(1,𝔽8) | C23 | 1 | 3 | yes | — |
| 38 | C2×AGL(1,𝔽5)×ΓL(1,𝔽8) | C23 | 1 | 1 | yes | characteristic |
| 39 | AGL(1,𝔽5)×AGL(1,𝔽7) | — | 2 | 6 | no | — |
| 40 | AGL(1,𝔽5)×AGL(1,𝔽7) | — | 2 | 6 | no | — |
| 41 | C5×Q8×ΓL(1,𝔽8) | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 42 | C4⋊(C5⋊AGL(1,𝔽7)) | C2×C4 | 1 | 3 | yes | complemented |
| 43 | C4×C5⋊AGL(1,𝔽7) | C2×C4 | 1 | 3 | yes | complemented |
| 44 | C4×D5×ΓL(1,𝔽8) | C23 | 1 | 3 | yes | — |
| 45 | ΓL(1,𝔽8)×Dic10 | C2×C4 | 1 | 3 | yes | complemented |
| 46 | C5×C4⋊AGL(1,𝔽7) | C2×C4 | 1 | 3 | yes | complemented |
| 47 | C4×C5×AGL(1,𝔽7) | C2×C4 | 1 | 3 | yes | complemented |
| 48 | #63306⋊C3 | C2×C4 | 1 | 6 | yes | complemented |
| 49 | #63304⋊C3 | C2×C4 | 1 | 3 | yes | complemented |
| 50 | D5×ΓL(1,𝔽8)⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 51 | Dic5×AGL(1,𝔽7) | C2×C4 | 1 | 3 | yes | complemented |
| 52 | C2×#66659 | — | 5 | 1 | no | — |
| 53 | C4×Q8×ΓL(1,𝔽8) | — | 5 | 1 | no | — |
| 54 | Q8×ΓL(1,𝔽8)⋊C4 | — | 5 | 1 | no | — |
| 55 | #6456⋊C3 | — | 5 | 3 | no | — |
| 56 | #6455⋊C3 | — | 5 | 3 | no | — |
| 57 | C4×C4⋊AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 58 | C42×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 59 | C2×D7×AGL(1,𝔽5) | C22×C3 | 1 | 3 | yes | — |
| 60 | C2×D7×AGL(1,𝔽5) | C22×C3 | 1 | 3 | yes | — |
| 61 | #10587991 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 62 | C7×Q8×D5 | C22×C3 | 1 | 1 | yes | characteristic |
| 63 | C5×#1161 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 64 | D5×D28 | C22×C3 | 1 | 3 | yes | — |
| 65 | C4×D5×D7 | C22×C3 | 1 | 3 | yes | — |
| 66 | #10587946 | C3×C4 | 1 | 3 | yes | complemented |
| 67 | #10587939 | C3×C4 | 1 | 3 | yes | complemented |
| 68 | C4⋊(C7⋊AGL(1,𝔽5)) | C22×C3 | 1 | 3 | yes | — |
| 69 | C4×C7⋊AGL(1,𝔽5) | C22×C3 | 1 | 3 | yes | — |
| 70 | C7×C4⋊AGL(1,𝔽5) | C22×C3 | 1 | 3 | yes | — |
| 71 | C4×C7×AGL(1,𝔽5) | C22×C3 | 1 | 3 | yes | — |
| 72 | (C2×D7)⋊AGL(1,𝔽5) | C22×C3 | 1 | 6 | yes | — |
| 73 | AGL(1,𝔽5)×Dic7 | C22×C3 | 1 | 3 | yes | — |
| 74 | AGL(1,𝔽5)×Dic7 | C22×C3 | 1 | 1 | yes | characteristic |
| 75 | C3×D5×#41 | — | 7 | 1 | no | — |
| 76 | C3×Q8×AGL(1,𝔽5) | — | 7 | 1 | no | — |
| 77 | C3×Q8×AGL(1,𝔽5) | — | 7 | 1 | no | — |
| 78 | C3×D4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 79 | C3×D4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 80 | C3×#4130 | — | 7 | 3 | no | — |
| 81 | C2×C3×C4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 82 | C4×#1161 | — | 5 | 1 | no | Hall |
| 83 | C2×C5⋊AGL(1,𝔽7) | C22×C4 | 1 | 3 | yes | — |
| 84 | C2×D5×ΓL(1,𝔽8) | C24 | 1 | 1 | yes | characteristic |
| 85 | C2×C5×AGL(1,𝔽7) | C22×C4 | 1 | 3 | yes | — |
| 86 | D5×AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 87 | D5×AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 88 | ΓL(1,𝔽8)⋊AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 89 | ΓL(1,𝔽8)⋊AGL(1,𝔽5) | #41 | 1 | 2 | yes | complemented |
| 90 | AGL(1,𝔽5)×ΓL(1,𝔽8) | — | 2 | 3 | no | — |
| 91 | AGL(1,𝔽5)×ΓL(1,𝔽8) | #41 | 1 | 2 | yes | complemented |
| 92 | C4×C5×ΓL(1,𝔽8) | C22×C4 | 1 | 3 | yes | — |
| 93 | ΓL(1,𝔽8)⋊Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 94 | Dic5×ΓL(1,𝔽8) | C22×C4 | 1 | 3 | yes | — |
| 95 | C5×ΓL(1,𝔽8)⋊C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 96 | C2×Q8×ΓL(1,𝔽8) | — | 5 | 1 | no | — |
| 97 | #66659 | — | 5 | 1 | no | — |
| 98 | #66659 | — | 5 | 3 | no | — |
| 99 | #66659 | — | 5 | 3 | no | — |
| 100 | #66659 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, direct product factor |
| 101 | C2×C4⋊AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 102 | C2×C4×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 103 | C2×C4×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 104 | C2×C4×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 105 | C4⋊C4×ΓL(1,𝔽8) | — | 5 | 3 | no | — |
| 106 | C42×ΓL(1,𝔽8) | — | 5 | 3 | no | — |
| 107 | (C2×AGL(1,𝔽7))⋊C4 | — | 5 | 6 | no | — |
| 108 | C4⋊(ΓL(1,𝔽8)⋊C4) | — | 5 | 3 | no | — |
| 109 | C4×ΓL(1,𝔽8)⋊C4 | — | 5 | 1 | no | — |
| 110 | C4×ΓL(1,𝔽8)⋊C4 | — | 5 | 3 | no | — |
| 111 | C4×ΓL(1,𝔽8)⋊C4 | — | 5 | 3 | no | — |
| 112 | #41×AGL(1,𝔽5) | — | 7 | 1 | no | Hall |
| 113 | C2×D5×D7 | C23×C3 | 1 | 3 | yes | — |
| 114 | C2×C7⋊AGL(1,𝔽5) | C23×C3 | 1 | 3 | yes | — |
| 115 | C2×C7⋊AGL(1,𝔽5) | C23×C3 | 1 | 1 | yes | characteristic |
| 116 | C2×C7×AGL(1,𝔽5) | C23×C3 | 1 | 3 | yes | — |
| 117 | C2×C7×AGL(1,𝔽5) | C23×C3 | 1 | 1 | yes | characteristic |
| 118 | D7×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 119 | D7×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 120 | C5×C7×Q8 | C2×C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 121 | D140 | C2×C3×C4 | 1 | 3 | yes | complemented |
| 122 | C4×D35 | C2×C3×C4 | 1 | 3 | yes | complemented |
| 123 | C4×C7×D5 | C23×C3 | 1 | 3 | yes | — |
| 124 | C7×Dic10 | C2×C3×C4 | 1 | 3 | yes | complemented |
| 125 | C5×D28 | C2×C3×C4 | 1 | 3 | yes | complemented |
| 126 | C4×C5×D7 | C2×C3×C4 | 1 | 3 | yes | complemented |
| 127 | #63306 | C2×C3×C4 | 1 | 6 | yes | complemented |
| 128 | #63304 | C2×C3×C4 | 1 | 3 | yes | complemented |
| 129 | D5×Dic7 | C23×C3 | 1 | 1 | yes | characteristic |
| 130 | D7×Dic5 | C2×C3×C4 | 1 | 3 | yes | complemented |
| 131 | C22×C3×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 132 | C22×C3×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 133 | C3×C5×#41 | — | 7 | 1 | no | — |
| 134 | C3×#713 | — | 7 | 1 | no | — |
| 135 | C3×Q8×D5 | — | 7 | 1 | no | — |
| 136 | C3×#711 | — | 7 | 3 | no | — |
| 137 | C3×D4×D5 | — | 7 | 3 | no | — |
| 138 | C3×#709 | — | 7 | 3 | no | — |
| 139 | C2×C3×C4×D5 | — | 7 | 3 | no | — |
| 140 | C3×C22⋊AGL(1,𝔽5) | — | 7 | 6 | no | — |
| 141 | C3×C4⋊AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 142 | C3×C4⋊AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 143 | C3×C4×AGL(1,𝔽5) | — | 7 | 1 | no | — |
| 144 | C3×C4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 145 | C3×C4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 146 | C3×C4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 147 | C2×#1161 | — | 5 | 1 | no | — |
| 148 | C4×C7×Q8 | — | 5 | 1 | no | — |
| 149 | Q8×Dic7 | — | 5 | 1 | no | — |
| 150 | #6456 | — | 5 | 3 | no | — |
| 151 | #6455 | — | 5 | 3 | no | — |
| 152 | C4×D28 | — | 5 | 3 | no | — |
| 153 | C42×D7 | — | 5 | 3 | no | — |
| 154 | C2×C5×ΓL(1,𝔽8) | C23×C4 | 1 | 1 | yes | characteristic |
| 155 | C5⋊AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 156 | D5×ΓL(1,𝔽8) | C2×#41 | 1 | 1 | yes | characteristic |
| 157 | D5×ΓL(1,𝔽8) | C2×#41 | 1 | 1 | yes | characteristic |
| 158 | C5×AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 159 | C3×C4×#41 | — | 35 | 1 | no | Hall |
| 160 | C22×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 161 | Q8×ΓL(1,𝔽8) | — | 5 | 3 | no | — |
| 162 | Q8×ΓL(1,𝔽8) | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 163 | C2×C4×ΓL(1,𝔽8) | — | 5 | 1 | no | — |
| 164 | C2×C4×ΓL(1,𝔽8) | — | 5 | 3 | no | — |
| 165 | C2×C4×ΓL(1,𝔽8) | — | 5 | 3 | no | — |
| 166 | C2×ΓL(1,𝔽8)⋊C4 | — | 5 | 1 | no | — |
| 167 | C2×ΓL(1,𝔽8)⋊C4 | — | 5 | 1 | no | — |
| 168 | C2×ΓL(1,𝔽8)⋊C4 | — | 5 | 3 | no | — |
| 169 | C4⋊AGL(1,𝔽7) | — | 5 | 6 | no | — |
| 170 | C4⋊AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 171 | C4⋊AGL(1,𝔽7) | C2×AGL(1,𝔽5) | 1 | 3 | yes | complemented |
| 172 | C4×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 173 | C4×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 174 | C4×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 175 | C4×AGL(1,𝔽7) | — | 10 | 6 | no | — |
| 176 | C4×AGL(1,𝔽7) | — | 10 | 6 | no | — |
| 177 | C4×AGL(1,𝔽7) | C2×AGL(1,𝔽5) | 1 | 3 | yes | complemented |
| 178 | D5×#41 | — | 7 | 1 | no | — |
| 179 | Q8×AGL(1,𝔽5) | — | 7 | 1 | no | — |
| 180 | Q8×AGL(1,𝔽5) | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 181 | D4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 182 | D4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 183 | #4130 | — | 7 | 3 | no | — |
| 184 | C2×C4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 185 | C2×D35 | C22×C3×C4 | 1 | 3 | yes | — |
| 186 | C2×C7×D5 | C24×C3 | 1 | 1 | yes | characteristic |
| 187 | C2×C5×D7 | C22×C3×C4 | 1 | 3 | yes | — |
| 188 | D5×D7 | — | 2 | 3 | no | — |
| 189 | D5×D7 | — | 2 | 3 | no | — |
| 190 | C7⋊AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 191 | C7⋊AGL(1,𝔽5) | C3×#41 | 1 | 2 | yes | complemented |
| 192 | C7×AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 193 | C7×AGL(1,𝔽5) | C3×#41 | 1 | 2 | yes | complemented |
| 194 | C4×C5×C7 | C22×C3×C4 | 1 | 3 | yes | — |
| 195 | Dic35 | C22×C3×C4 | 1 | 1 | yes | characteristic |
| 196 | C5×Dic7 | C22×C3×C4 | 1 | 1 | yes | characteristic |
| 197 | C7×Dic5 | C22×C3×C4 | 1 | 3 | yes | — |
| 198 | C22×C3×D5 | — | 7 | 3 | no | — |
| 199 | C2×C3×AGL(1,𝔽5) | — | 7 | 1 | no | — |
| 200 | C2×C3×AGL(1,𝔽5) | — | 7 | 1 | no | — |
| 201 | C2×C3×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 202 | C2×C3×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 203 | C2×C3×AGL(1,𝔽5) | — | 14 | 6 | no | — |
| 204 | C2×C3×AGL(1,𝔽5) | — | 14 | 6 | no | — |
| 205 | C3×C5×Q8 | — | 7 | 1 | no | — |
| 206 | C3×C5×D4 | — | 7 | 3 | no | — |
| 207 | C2×C3×C4×C5 | — | 7 | 3 | no | — |
| 208 | C3×C22⋊D5 | — | 7 | 6 | no | — |
| 209 | C2×C3×Dic5 | — | 7 | 3 | no | — |
| 210 | C3×D20 | — | 7 | 3 | no | — |
| 211 | C3×C4×D5 | — | 7 | 1 | no | — |
| 212 | C3×C4×D5 | — | 7 | 3 | no | — |
| 213 | C3×C4×D5 | — | 7 | 3 | no | — |
| 214 | C3×C4×D5 | — | 7 | 3 | no | — |
| 215 | C3×Dic10 | — | 7 | 3 | no | — |
| 216 | C2×C7×Q8 | — | 5 | 1 | no | — |
| 217 | #1161 | — | 5 | 1 | no | — |
| 218 | #1161 | — | 5 | 3 | no | — |
| 219 | #1161 | — | 5 | 3 | no | — |
| 220 | #1161 | C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 221 | C2×D28 | — | 5 | 3 | no | — |
| 222 | C2×C4×D7 | — | 5 | 3 | no | — |
| 223 | C2×C4×D7 | — | 5 | 3 | no | — |
| 224 | C2×C4×D7 | — | 5 | 3 | no | — |
| 225 | C7×C4⋊C4 | — | 5 | 3 | no | — |
| 226 | C42×C7 | — | 5 | 3 | no | — |
| 227 | (C2×D7)⋊C4 | — | 5 | 6 | no | — |
| 228 | C4⋊Dic7 | — | 5 | 3 | no | — |
| 229 | C4×Dic7 | — | 5 | 1 | no | — |
| 230 | C4×Dic7 | — | 5 | 3 | no | — |
| 231 | C4×Dic7 | — | 5 | 3 | no | — |
| 232 | C5×ΓL(1,𝔽8) | C4×#41 | 1 | 1 | yes | characteristic, complemented, Hall |
| 233 | C2×C3×#41 | — | 35 | 1 | no | — |
| 234 | C3×C4×Q8 | — | 35 | 1 | no | — |
| 235 | C3×C4×Q8 | — | 35 | 1 | no | — |
| 236 | C3×C4×D4 | — | 35 | 3 | no | — |
| 237 | C3×C4×D4 | — | 35 | 3 | no | — |
| 238 | C3×#117 | — | 35 | 3 | no | — |
| 239 | C2×C3×C42 | — | 35 | 3 | no | — |
| 240 | C22×ΓL(1,𝔽8) | — | 5 | 1 | no | — |
| 241 | C2×AGL(1,𝔽7) | — | 5 | 3 | no | — |
| 242 | C2×AGL(1,𝔽7) | — | 10 | 3 | no | — |
| 243 | C2×AGL(1,𝔽7) | — | 10 | 3 | no | — |
| 244 | C2×AGL(1,𝔽7) | C22×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 245 | C4×ΓL(1,𝔽8) | — | 5 | 2 | no | — |
| 246 | C4×ΓL(1,𝔽8) | — | 5 | 3 | no | — |
| 247 | C4×ΓL(1,𝔽8) | — | 10 | 3 | no | — |
| 248 | C4×ΓL(1,𝔽8) | C22×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 249 | ΓL(1,𝔽8)⋊C4 | — | 5 | 2 | no | — |
| 250 | ΓL(1,𝔽8)⋊C4 | — | 5 | 1 | no | — |
| 251 | ΓL(1,𝔽8)⋊C4 | — | 10 | 3 | no | — |
| 252 | ΓL(1,𝔽8)⋊C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 253 | C22×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 254 | C22×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 255 | C5×#41 | — | 7 | 1 | no | — |
| 256 | #713 | — | 7 | 1 | no | — |
| 257 | Q8×D5 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 258 | #711 | — | 7 | 3 | no | — |
| 259 | D4×D5 | — | 7 | 3 | no | — |
| 260 | #709 | — | 7 | 3 | no | — |
| 261 | C2×C4×D5 | — | 7 | 3 | no | — |
| 262 | C22⋊AGL(1,𝔽5) | — | 7 | 6 | no | — |
| 263 | C4⋊AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 264 | C4⋊AGL(1,𝔽5) | C2×AGL(1,𝔽7) | 1 | 3 | yes | — |
| 265 | C4×AGL(1,𝔽5) | — | 7 | 1 | no | — |
| 266 | C4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 267 | C4×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 268 | C4×AGL(1,𝔽5) | C2×AGL(1,𝔽7) | 1 | 3 | yes | — |
| 269 | C2×C5×C7 | C23×C3×C4 | 1 | 1 | yes | characteristic |
| 270 | D35 | — | 2 | 3 | no | — |
| 271 | C5×D7 | — | 2 | 3 | no | — |
| 272 | C7×D5 | C2×C3×#41 | 1 | 1 | yes | characteristic |
| 273 | C7×D5 | C2×C3×#41 | 1 | 1 | yes | characteristic |
| 274 | C4×#41 | — | 35 | 1 | no | Sylow |
| 275 | C22×C3×C5 | — | 7 | 3 | no | — |
| 276 | C2×C3×D5 | — | 7 | 3 | no | — |
| 277 | C2×C3×D5 | — | 7 | 1 | no | — |
| 278 | C2×C3×D5 | — | 14 | 3 | no | — |
| 279 | C2×C3×D5 | — | 14 | 3 | no | — |
| 280 | C3×AGL(1,𝔽5) | — | 7 | 2 | no | — |
| 281 | C3×AGL(1,𝔽5) | — | 7 | 2 | no | — |
| 282 | C3×AGL(1,𝔽5) | — | 14 | 3 | no | — |
| 283 | C3×AGL(1,𝔽5) | — | 14 | 3 | no | — |
| 284 | C3×C4×C5 | — | 7 | 1 | no | — |
| 285 | C3×C4×C5 | — | 7 | 3 | no | — |
| 286 | C3×Dic5 | — | 7 | 1 | no | — |
| 287 | C3×Dic5 | — | 7 | 3 | no | — |
| 288 | C22×D7 | — | 5 | 3 | no | — |
| 289 | C7×Q8 | — | 5 | 3 | no | — |
| 290 | C7×Q8 | C2×C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 291 | C2×C4×C7 | — | 5 | 1 | no | — |
| 292 | C2×C4×C7 | — | 5 | 3 | no | — |
| 293 | C2×C4×C7 | — | 5 | 3 | no | — |
| 294 | C2×Dic7 | — | 5 | 1 | no | — |
| 295 | C2×Dic7 | — | 5 | 1 | no | — |
| 296 | C2×Dic7 | — | 5 | 3 | no | — |
| 297 | D28 | — | 5 | 6 | no | — |
| 298 | D28 | — | 5 | 3 | no | — |
| 299 | D28 | C2×C3×AGL(1,𝔽5) | 1 | 3 | yes | complemented |
| 300 | C4×D7 | — | 5 | 3 | no | — |
| 301 | C4×D7 | — | 5 | 3 | no | — |
| 302 | C4×D7 | — | 5 | 3 | no | — |
| 303 | C4×D7 | — | 10 | 6 | no | — |
| 304 | C4×D7 | — | 10 | 6 | no | — |
| 305 | C4×D7 | C2×C3×AGL(1,𝔽5) | 1 | 3 | yes | complemented |
| 306 | C3×#41 | — | 7 | 1 | no | — |
| 307 | C3×#41 | — | 35 | 3 | no | — |
| 308 | C3×#41 | — | 35 | 3 | no | — |
| 309 | C3×#41 | — | 35 | 1 | no | — |
| 310 | C2×C3×Q8 | — | 35 | 1 | no | — |
| 311 | C2×C3×D4 | — | 35 | 3 | no | — |
| 312 | C22×C3×C4 | — | 35 | 3 | no | — |
| 313 | C22×C3×C4 | — | 35 | 3 | no | — |
| 314 | C22×C3×C4 | — | 35 | 3 | no | — |
| 315 | C3×C4⋊C4 | — | 35 | 3 | no | — |
| 316 | C3×C4⋊C4 | — | 35 | 3 | no | — |
| 317 | C3×C22⋊C4 | — | 35 | 6 | no | — |
| 318 | C3×C42 | — | 35 | 3 | no | — |
| 319 | C3×C42 | — | 35 | 1 | no | — |
| 320 | C3×C42 | — | 35 | 3 | no | — |
| 321 | C3×C42 | — | 35 | 3 | no | — |
| 322 | C2×ΓL(1,𝔽8) | — | 5 | 1 | no | — |
| 323 | C2×ΓL(1,𝔽8) | — | 5 | 1 | no | — |
| 324 | C2×ΓL(1,𝔽8) | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 325 | AGL(1,𝔽7) | — | 2 | 3 | no | — |
| 326 | AGL(1,𝔽7) | — | 10 | 3 | no | — |
| 327 | C22×D5 | — | 7 | 3 | no | — |
| 328 | C2×AGL(1,𝔽5) | — | 7 | 1 | no | — |
| 329 | C2×AGL(1,𝔽5) | — | 7 | 3 | no | — |
| 330 | C2×AGL(1,𝔽5) | — | 14 | 6 | no | — |
| 331 | C2×AGL(1,𝔽5) | — | 14 | 6 | no | — |
| 332 | C2×AGL(1,𝔽5) | C22×AGL(1,𝔽7) | 1 | 3 | yes | — |
| 333 | C2×AGL(1,𝔽5) | C22×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 334 | C5×Q8 | C4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 335 | C5×D4 | — | 7 | 3 | no | — |
| 336 | C2×C4×C5 | — | 7 | 3 | no | — |
| 337 | C22⋊D5 | — | 7 | 6 | no | — |
| 338 | C2×Dic5 | — | 7 | 3 | no | — |
| 339 | D20 | — | 7 | 3 | no | — |
| 340 | C4×D5 | — | 7 | 1 | no | — |
| 341 | C4×D5 | — | 7 | 3 | no | — |
| 342 | C4×D5 | — | 7 | 3 | no | — |
| 343 | C4×D5 | C22×AGL(1,𝔽7) | 1 | 3 | yes | — |
| 344 | Dic10 | C4×AGL(1,𝔽7) | 1 | 3 | yes | complemented |
| 345 | C5×C7 | C3×C4×#41 | 1 | 1 | yes | characteristic, complemented, Hall |
| 346 | C2×#41 | — | 35 | 1 | no | — |
| 347 | C4×Q8 | — | 5 | 1 | no | — |
| 348 | C4×Q8 | — | 35 | 1 | no | — |
| 349 | C4×D4 | — | 35 | 3 | no | — |
| 350 | C4×D4 | — | 35 | 3 | no | — |
| 351 | #117 | — | 35 | 3 | no | — |
| 352 | C2×C42 | — | 35 | 3 | no | — |
| 353 | C2×C3×C5 | — | 7 | 1 | no | — |
| 354 | C2×C3×C5 | — | 14 | 3 | no | — |
| 355 | C3×D5 | — | 7 | 1 | no | — |
| 356 | C3×D5 | — | 7 | 1 | no | — |
| 357 | C3×D5 | — | 14 | 3 | no | — |
| 358 | C22×C7 | — | 5 | 1 | no | — |
| 359 | C2×D7 | — | 5 | 3 | no | — |
| 360 | C2×D7 | — | 10 | 3 | no | — |
| 361 | C2×D7 | — | 10 | 3 | no | — |
| 362 | C2×D7 | C22×C3×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 363 | C4×C7 | — | 5 | 2 | no | — |
| 364 | C4×C7 | — | 5 | 3 | no | — |
| 365 | C4×C7 | — | 10 | 3 | no | — |
| 366 | C4×C7 | C22×C3×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 367 | Dic7 | — | 5 | 2 | no | — |
| 368 | Dic7 | — | 5 | 1 | no | — |
| 369 | Dic7 | — | 10 | 3 | no | — |
| 370 | Dic7 | C22×C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 371 | C23×C3 | — | 35 | 3 | no | — |
| 372 | C3×Q8 | — | 7 | 1 | no | — |
| 373 | C3×Q8 | — | 35 | 3 | no | — |
| 374 | C3×D4 | — | 7 | 3 | no | — |
| 375 | C3×D4 | — | 35 | 3 | no | — |
| 376 | C3×D4 | — | 35 | 6 | no | — |
| 377 | C2×C3×C4 | — | 7 | 3 | no | — |
| 378 | C2×C3×C4 | — | 35 | 3 | no | — |
| 379 | C2×C3×C4 | — | 35 | 1 | no | — |
| 380 | C2×C3×C4 | — | 35 | 3 | no | — |
| 381 | C2×C3×C4 | — | 35 | 3 | no | — |
| 382 | C2×C3×C4 | — | 35 | 3 | no | — |
| 383 | C2×C3×C4 | — | 35 | 1 | no | — |
| 384 | C2×C3×C4 | — | 35 | 3 | no | — |
| 385 | C2×C3×C4 | — | 35 | 1 | no | — |
| 386 | C2×C3×C4 | — | 35 | 3 | no | — |
| 387 | C2×C3×C4 | — | 70 | 6 | no | — |
| 388 | C2×C3×C4 | — | 70 | 6 | no | — |
| 389 | ΓL(1,𝔽8) | #41×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Hall |
| 390 | C22×C5 | — | 7 | 3 | no | — |
| 391 | C2×D5 | — | 7 | 3 | no | — |
| 392 | C2×D5 | — | 14 | 3 | no | — |
| 393 | C2×D5 | — | 14 | 3 | no | — |
| 394 | C2×D5 | C23×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 395 | AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 396 | AGL(1,𝔽5) | — | 7 | 2 | no | — |
| 397 | AGL(1,𝔽5) | — | 14 | 3 | no | — |
| 398 | AGL(1,𝔽5) | #66659 | 1 | 2 | yes | direct product factor |
| 399 | C4×C5 | — | 7 | 1 | no | — |
| 400 | C4×C5 | C2×C4×AGL(1,𝔽7) | 1 | 3 | yes | — |
| 401 | Dic5 | — | 7 | 1 | no | — |
| 402 | Dic5 | C2×C4×AGL(1,𝔽7) | 1 | 3 | yes | — |
| 403 | #41 | — | 7 | 1 | no | — |
| 404 | #41 | — | 35 | 3 | no | — |
| 405 | #41 | — | 35 | 3 | no | — |
| 406 | #41 | — | 35 | 1 | no | — |
| 407 | C2×Q8 | — | 5 | 1 | no | — |
| 408 | C2×D4 | — | 35 | 3 | no | — |
| 409 | C22×C4 | — | 35 | 3 | no | — |
| 410 | C22×C4 | — | 35 | 3 | no | — |
| 411 | C22×C4 | — | 35 | 3 | no | — |
| 412 | C4⋊C4 | — | 5 | 3 | no | — |
| 413 | C4⋊C4 | — | 35 | 3 | no | — |
| 414 | C22⋊C4 | — | 35 | 6 | no | — |
| 415 | C42 | — | 5 | 3 | no | — |
| 416 | C42 | — | 35 | 1 | no | — |
| 417 | C42 | — | 35 | 3 | no | — |
| 418 | C42 | — | 35 | 3 | no | — |
| 419 | C3×C5 | — | 7 | 1 | no | Hall |
| 420 | C2×C7 | — | 5 | 1 | no | — |
| 421 | C2×C7 | — | 5 | 1 | no | — |
| 422 | C2×C7 | C23×C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 423 | D7 | — | 2 | 3 | no | — |
| 424 | D7 | — | 10 | 3 | no | — |
| 425 | C22×C3 | — | 7 | 3 | no | — |
| 426 | C22×C3 | — | 35 | 1 | no | — |
| 427 | C22×C3 | — | 35 | 3 | no | — |
| 428 | C22×C3 | — | 70 | 3 | no | — |
| 429 | C22×C3 | — | 70 | 3 | no | — |
| 430 | C3×C4 | — | 7 | 1 | no | — |
| 431 | C3×C4 | — | 7 | 3 | no | — |
| 432 | C3×C4 | — | 35 | 3 | no | — |
| 433 | C3×C4 | — | 35 | 2 | no | — |
| 434 | C3×C4 | — | 35 | 1 | no | — |
| 435 | C3×C4 | — | 35 | 2 | no | — |
| 436 | C3×C4 | — | 70 | 3 | no | — |
| 437 | C3×C4 | — | 70 | 3 | no | — |
| 438 | C2×C5 | — | 14 | 3 | no | — |
| 439 | C2×C5 | C22×C4×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 440 | D5 | — | 14 | 3 | no | — |
| 441 | D5 | C2×#66659 | 1 | 1 | yes | characteristic |
| 442 | D5 | #41×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 443 | C23 | — | 35 | 3 | no | — |
| 444 | Q8 | — | 5 | 3 | no | — |
| 445 | Q8 | AGL(1,𝔽5)×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 446 | D4 | — | 7 | 3 | no | — |
| 447 | D4 | — | 35 | 6 | no | — |
| 448 | D4 | — | 35 | 3 | no | — |
| 449 | C2×C4 | — | 5 | 1 | no | — |
| 450 | C2×C4 | — | 5 | 3 | no | — |
| 451 | C2×C4 | — | 5 | 3 | no | — |
| 452 | C2×C4 | — | 7 | 3 | no | — |
| 453 | C2×C4 | — | 35 | 3 | no | — |
| 454 | C2×C4 | — | 35 | 3 | no | — |
| 455 | C2×C4 | — | 35 | 1 | no | — |
| 456 | C2×C4 | — | 35 | 1 | no | — |
| 457 | C2×C4 | — | 35 | 3 | no | — |
| 458 | C2×C4 | — | 35 | 3 | no | — |
| 459 | C2×C4 | — | 70 | 6 | no | — |
| 460 | C2×C4 | — | 70 | 6 | no | — |
| 461 | C7 | C3×#41×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 462 | C2×C3 | — | 7 | 1 | no | — |
| 463 | C2×C3 | — | 14 | 3 | no | — |
| 464 | C2×C3 | — | 35 | 1 | no | — |
| 465 | C2×C3 | — | 35 | 1 | no | — |
| 466 | C2×C3 | — | 70 | 3 | no | — |
| 467 | C5 | C4×#66659 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 468 | C22 | — | 5 | 1 | no | — |
| 469 | C22 | — | 7 | 3 | no | — |
| 470 | C22 | — | 35 | 3 | no | — |
| 471 | C22 | — | 70 | 3 | no | — |
| 472 | C22 | — | 70 | 3 | no | — |
| 473 | C4 | — | 5 | 2 | no | — |
| 474 | C4 | — | 5 | 3 | no | — |
| 475 | C4 | — | 7 | 1 | no | — |
| 476 | C4 | — | 10 | 3 | no | — |
| 477 | C4 | — | 35 | 2 | no | — |
| 478 | C4 | — | 35 | 1 | no | — |
| 479 | C4 | — | 70 | 3 | no | — |
| 480 | C4 | C2×AGL(1,𝔽5)×AGL(1,𝔽7) | 1 | 3 | yes | — |
| 481 | C3 | — | 7 | 1 | no | Sylow |
| 482 | C2 | — | 5 | 1 | no | — |
| 483 | C2 | — | 5 | 1 | no | — |
| 484 | C2 | — | 14 | 3 | no | — |
| 485 | C2 | — | 70 | 3 | no | — |
| 486 | C2 | C22×AGL(1,𝔽5)×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta