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Results (displaying matches 1-50 of 104) Next

Label Name Order Parity Solvable Subfields Low Degree Siblings
15T1 $C_{15}$ 15 1 Yes $C_3$, $C_5$
15T2 $D_{15}$ 30 -1 Yes $S_3$, $D_{5}$ 30T3
15T3 $D_5\times C_3$ 30 1 Yes $C_3$, $D_{5}$ 30T4
15T4 $S_3 \times C_5$ 30 -1 Yes $S_3$, $C_5$ 30T2
15T5 $A_5$ 60 1 No $A_5$ 5T4, 6T12, 10T7, 12T33, 20T15, 30T9
15T6 $C_{15} : C_4$ 60 1 Yes $S_3$, $F_5$ 30T6
15T7 $D_5\times S_3$ 60 -1 Yes $S_3$, $D_{5}$ 30T8, 30T10, 30T13
15T8 $F_5\times C_3$ 60 -1 Yes $C_3$, $F_5$ 30T7
15T9 $C_5^2 : C_3$ 75 1 Yes $C_3$ 15T9, 25T6
15T10 $S_5$ 120 1 No $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
15T11 $F_5 \times S_3$ 120 -1 Yes $S_3$, $F_5$ 30T23, 30T24, 30T32
15T12 $(C_5^2 : C_3):C_2$ 150 1 Yes $C_3$ 15T12, 25T15, 30T35 x 2
15T13 $(C_5^2 : C_3):C_2$ 150 -1 Yes $S_3$ 15T14, 25T16, 30T37, 30T38
15T14 $(C_5^2 : C_3):C_2$ 150 -1 Yes $S_3$ 15T13, 25T16, 30T37, 30T38
15T15 $\GL(2,4)$ 180 1 No $A_5$ 15T15, 15T16, 18T90, 30T45, 36T176, 45T16
15T16 $\GL(2,4)$ 180 1 No $C_3$, $A_5$ 15T15 x 2, 18T90, 30T45, 36T176, 45T16
15T17 $(C_5^2 : C_3):C_4$ 300 1 Yes $S_3$ 15T17, 25T28, 30T71 x 2
15T18 $((C_5^2 : C_3):C_2):C_2$ 300 -1 Yes $S_3$ 15T18, 25T27, 30T66 x 2, 30T72 x 2, 30T80 x 2
15T19 $(C_5^2 : C_4):C_3$ 300 -1 Yes $C_3$ 15T19, 25T26, 30T78 x 2
15T20 $A_6$ 360 1 No 6T15 x 2, 10T26, 15T20, 20T89, 30T88 x 2, 36T555, 40T304, 45T49
15T21 $\GL(2,4):C_2$ 360 1 No $S_5$ 15T21, 15T22, 18T146, 30T89, 30T93 x 2, 30T101, 36T554, 45T45
15T22 $\GL(2,4):C_2$ 360 1 No $S_3$, $S_5$ 15T21 x 2, 18T146, 30T89, 30T93 x 2, 30T101, 36T554, 45T45
15T23 $A_5 \times S_3$ 360 -1 No $S_3$, $A_5$ 18T145, 30T85, 30T94, 30T102, 36T551, 36T552, 36T553, 45T40
15T24 $S_5 \times C_3$ 360 -1 No $C_3$, $S_5$ 18T144, 30T90, 30T98, 30T103, 36T550, 45T44
15T25 $C_5\times C_5^2:C_3$ 375 1 Yes $C_3$ 15T25 x 7
15T26 $C_3^4:C_5$ 405 1 Yes $C_5$ 15T26 x 7, 45T61 x 2, 45T62 x 16, 45T63 x 8
15T27 [5^2:4]S(3) 600 -1 Yes $S_3$ 15T27, 25T43, 30T150 x 2, 30T153 x 2, 30T155 x 2
15T28 S_6(15) 720 1 No 6T16 x 2, 10T32, 12T183 x 2, 15T28, 20T145, 20T149 x 2, 30T164 x 2, 30T166 x 2, 30T176 x 2, 36T1252, 40T589, 40T592 x 2, 45T96
15T29 $S_5 \times S_3$ 720 -1 No $S_3$, $S_5$ 18T227, 30T165, 30T167, 30T170, 30T174, 30T178, 36T1249, 36T1250, 36T1251, 45T94
15T30 [5^3:2]3 750 1 Yes $C_3$ 15T30 x 7, 30T188 x 8
15T31 1/2[5^3:2]S(3) 750 -1 Yes $S_3$ 15T31 x 3, 30T186 x 4, 30T187 x 2
15T32 [5^3]S(3) 750 -1 Yes $S_3$ 15T32 x 3, 30T184 x 4, 30T185 x 2
15T33 [3^4:2]5 810 -1 Yes $C_5$ 15T33 x 7, 30T190 x 8, 45T118 x 2, 45T119 x 16, 45T120 x 8
15T34 [3^4]D(5) 810 1 Yes $D_{5}$ 15T34 x 3, 15T35 x 4, 30T191 x 4, 30T192 x 4, 45T121 x 8, 45T122 x 8, 45T123, 45T124
15T35 1/2[3^4:2]D(5) 810 -1 Yes $D_{5}$ 15T34 x 4, 15T35 x 3, 30T191 x 4, 30T192 x 4, 45T121 x 8, 45T122 x 8, 45T123, 45T124
15T36 [3^5]5=3wr5 1215 1 Yes $C_5$ 15T36 x 15, 45T164 x 8, 45T165 x 16, 45T166 x 32, 45T167 x 32, 45T168 x 64, 45T169 x 64
15T37 1/2[5^3:4]S(3) 1500 1 Yes $S_3$ 15T37 x 3, 30T282 x 2, 30T288 x 4
15T38 [5^3:4]3 1500 -1 Yes $C_3$ 15T38 x 7, 30T287 x 8
15T39 [1/2.D(5)^3]3 1500 1 Yes $C_3$ 20T209, 30T271 x 2, 30T277, 30T279, 30T281
15T40 [5^3:2]S(3) 1500 -1 Yes $S_3$ 15T40 x 3, 30T273 x 4, 30T275 x 4, 30T280 x 2, 30T284 x 4
15T41 [3^4]F(5) 1620 -1 Yes $F_5$ 15T42, 30T295, 30T296, 30T298, 30T299, 30T302, 45T204, 45T210
15T42 1/2[3^4:2]F(5) 1620 1 Yes $F_5$ 15T41, 30T295, 30T296, 30T298, 30T299, 30T302, 45T204, 45T210
15T43 [3^4:2]D(5) 1620 -1 Yes $D_{5}$ 15T43 x 7, 30T290 x 8, 30T291 x 8, 30T297 x 8, 45T205 x 16, 45T206 x 2
15T44 [3^5:2]5 2430 -1 Yes $C_5$ 15T44 x 15, 30T394 x 16, 45T253 x 8, 45T254 x 16, 45T255 x 32, 45T256 x 32, 45T257 x 64, 45T258 x 64
15T45 1/2[3^5:2]D(5) 2430 -1 Yes $D_{5}$ 15T45 x 7, 30T389 x 8, 30T392 x 4, 45T248 x 4, 45T249 x 4, 45T259 x 16, 45T260 x 16, 45T264 x 8
15T46 [3^5]D(5)=3wrD(5) 2430 1 Yes $D_{5}$ 15T46 x 7, 30T388 x 4, 30T391 x 8, 45T250 x 4, 45T251 x 4, 45T261 x 8, 45T262 x 16, 45T263 x 16
15T47 $A_7$ 2520 1 No 7T6, 15T47, 21T33, 35T28, 42T294, 42T299
15T48 1/2[D(5)^3]S(3) 3000 -1 Yes $S_3$ 20T270, 30T413, 30T424, 30T431, 30T432, 30T440, 40T2385
15T49 [5^3:4]S(3) 3000 -1 Yes $S_3$ 15T49 x 3, 30T433 x 4, 30T435 x 2, 30T438 x 4, 30T442 x 4
15T50 [D(5)^3]3=D(5)wr3 3000 1 Yes $C_3$ 20T269, 30T408, 30T418, 30T419 x 2, 30T420 x 2, 30T421, 30T425, 30T426, 40T2384

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Results are complete for degrees $\leq 23$.