Properties

Label 26T30
Degree $26$
Order $4056$
Cyclic no
Abelian no
Solvable yes
Primitive no
$p$-group no
Group: $C_{13}^2:(C_4\times S_3)$

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magma: G := TransitiveGroup(26, 30);
 

Group invariants

Abstract group:  $C_{13}^2:(C_4\times S_3)$
magma: IdentifyGroup(G);
 
Order:  $4056=2^{3} \cdot 3 \cdot 13^{2}$
magma: Order(G);
 
Cyclic:  no
magma: IsCyclic(G);
 
Abelian:  no
magma: IsAbelian(G);
 
Solvable:  yes
magma: IsSolvable(G);
 
Nilpotency class:   not nilpotent
magma: NilpotencyClass(G);
 

Group action invariants

Degree $n$:  $26$
magma: t, n := TransitiveGroupIdentification(G); n;
 
Transitive number $t$:  $30$
magma: t, n := TransitiveGroupIdentification(G); t;
 
Parity:  $-1$
magma: IsEven(G);
 
Primitive:  no
magma: IsPrimitive(G);
 
$\card{\Aut(F/K)}$:  $1$
magma: Order(Centralizer(SymmetricGroup(n), G));
 
Generators:  $(1,17,5,24)(2,22,4,19)(3,14)(6,16,13,25)(7,21,12,20)(8,26,11,15)(9,18,10,23)$, $(1,17,6,24,11,18,3,25,8,19,13,26,5,20,10,14,2,21,7,15,12,22,4,16,9,23)$
magma: Generators(G);
 

Low degree resolvents

$\card{(G/N)}$Galois groups for stem field(s)
$2$:  $C_2$ x 3
$4$:  $C_4$ x 2, $C_2^2$
$6$:  $S_3$
$8$:  $C_4\times C_2$
$12$:  $D_{6}$
$24$:  $S_3 \times C_4$

Resolvents shown for degrees $\leq 47$

Subfields

Degree 2: $C_2$

Degree 13: None

Low degree siblings

39T42 x 2

Siblings are shown with degree $\leq 47$

A number field with this Galois group has no arithmetically equivalent fields.

Conjugacy classes

LabelCycle TypeSizeOrderIndexRepresentative
1A $1^{26}$ $1$ $1$ $0$ $()$
2A $2^{13}$ $39$ $2$ $13$ $( 1,23)( 2,22)( 3,21)( 4,20)( 5,19)( 6,18)( 7,17)( 8,16)( 9,15)(10,14)(11,26)(12,25)(13,24)$
2B $2^{13}$ $39$ $2$ $13$ $( 1,26)( 2,14)( 3,15)( 4,16)( 5,17)( 6,18)( 7,19)( 8,20)( 9,21)(10,22)(11,23)(12,24)(13,25)$
2C $2^{12},1^{2}$ $169$ $2$ $12$ $( 1, 7)( 2, 6)( 3, 5)( 8,13)( 9,12)(10,11)(14,20)(15,19)(16,18)(21,26)(22,25)(23,24)$
3A $3^{8},1^{2}$ $338$ $3$ $16$ $( 1, 8, 3)( 2,11,12)( 5, 7,13)( 6,10, 9)(14,16,21)(15,25,24)(18,26,20)(19,22,23)$
4A1 $4^{6},1^{2}$ $169$ $4$ $18$ $( 1, 2, 7, 6)( 3,12, 5, 9)( 8,11,13,10)(14,15,20,19)(16,25,18,22)(21,24,26,23)$
4A-1 $4^{6},1^{2}$ $169$ $4$ $18$ $( 1, 6, 7, 2)( 3, 9, 5,12)( 8,10,13,11)(14,19,20,15)(16,22,18,25)(21,23,26,24)$
4B1 $4^{6},2$ $507$ $4$ $19$ $( 1,22,10,20)( 2,16, 9,26)( 3,23, 8,19)( 4,17, 7,25)( 5,24, 6,18)(11,14,13,15)(12,21)$
4B-1 $4^{6},2$ $507$ $4$ $19$ $( 1,20,10,22)( 2,26, 9,16)( 3,19, 8,23)( 4,25, 7,17)( 5,18, 6,24)(11,15,13,14)(12,21)$
6A $6^{4},1^{2}$ $338$ $6$ $20$ $( 1, 5, 8, 7, 3,13)( 2, 9,11, 6,12,10)(14,26,16,20,21,18)(15,23,25,19,24,22)$
12A1 $12^{2},1^{2}$ $338$ $12$ $22$ $( 1,10, 5, 2, 8, 9, 7,11, 3, 6,13,12)(14,22,26,15,16,23,20,25,21,19,18,24)$
12A-1 $12^{2},1^{2}$ $338$ $12$ $22$ $( 1,12,13, 6, 3,11, 7, 9, 8, 2, 5,10)(14,24,18,19,21,25,20,23,16,15,26,22)$
13A1 $13^{2}$ $12$ $13$ $24$ $( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13)(14,26,25,24,23,22,21,20,19,18,17,16,15)$
13A2 $13^{2}$ $12$ $13$ $24$ $( 1, 3, 5, 7, 9,11,13, 2, 4, 6, 8,10,12)(14,25,23,21,19,17,15,26,24,22,20,18,16)$
13A4 $13^{2}$ $12$ $13$ $24$ $( 1, 5, 9,13, 4, 8,12, 3, 7,11, 2, 6,10)(14,23,19,15,24,20,16,25,21,17,26,22,18)$
13B1 $13^{2}$ $12$ $13$ $24$ $( 1, 7,13, 6,12, 5,11, 4,10, 3, 9, 2, 8)(14,20,26,19,25,18,24,17,23,16,22,15,21)$
13B2 $13^{2}$ $12$ $13$ $24$ $( 1,13,12,11,10, 9, 8, 7, 6, 5, 4, 3, 2)(14,26,25,24,23,22,21,20,19,18,17,16,15)$
13B4 $13^{2}$ $12$ $13$ $24$ $( 1,12,10, 8, 6, 4, 2,13,11, 9, 7, 5, 3)(14,25,23,21,19,17,15,26,24,22,20,18,16)$
13C $13,1^{13}$ $24$ $13$ $12$ $(14,18,22,26,17,21,25,16,20,24,15,19,23)$
13D1 $13^{2}$ $24$ $13$ $24$ $( 1, 5, 9,13, 4, 8,12, 3, 7,11, 2, 6,10)(14,21,15,22,16,23,17,24,18,25,19,26,20)$
13D2 $13^{2}$ $24$ $13$ $24$ $( 1, 5, 9,13, 4, 8,12, 3, 7,11, 2, 6,10)(14,25,23,21,19,17,15,26,24,22,20,18,16)$
13D4 $13^{2}$ $24$ $13$ $24$ $( 1, 8, 2, 9, 3,10, 4,11, 5,12, 6,13, 7)(14,26,25,24,23,22,21,20,19,18,17,16,15)$
26A1 $26$ $156$ $26$ $25$ $( 1,16, 2,15, 3,14, 4,26, 5,25, 6,24, 7,23, 8,22, 9,21,10,20,11,19,12,18,13,17)$
26A3 $26$ $156$ $26$ $25$ $( 1,15, 4,25, 7,22,10,19,13,16, 3,26, 6,23, 9,20,12,17, 2,14, 5,24, 8,21,11,18)$
26A7 $26$ $156$ $26$ $25$ $( 1,26, 8,19, 2,25, 9,18, 3,24,10,17, 4,23,11,16, 5,22,12,15, 6,21,13,14, 7,20)$
26B1 $26$ $156$ $26$ $25$ $( 1,16, 7,22,13,15, 6,21,12,14, 5,20,11,26, 4,19,10,25, 3,18, 9,24, 2,17, 8,23)$
26B3 $26$ $156$ $26$ $25$ $( 1,22, 6,14,11,19, 3,24, 8,16,13,21, 5,26,10,18, 2,23, 7,15,12,20, 4,25, 9,17)$
26B7 $26$ $156$ $26$ $25$ $( 1,21, 4,24, 7,14,10,17,13,20, 3,23, 6,26, 9,16,12,19, 2,22, 5,25, 8,15,11,18)$

Malle's constant $a(G)$:     $1/12$

magma: ConjugacyClasses(G);
 

Character table

1A 2A 2B 2C 3A 4A1 4A-1 4B1 4B-1 6A 12A1 12A-1 13A1 13A2 13A4 13B1 13B2 13B4 13C 13D1 13D2 13D4 26A1 26A3 26A7 26B1 26B3 26B7
Size 1 39 39 169 338 169 169 507 507 338 338 338 12 12 12 12 12 12 24 24 24 24 156 156 156 156 156 156
2 P 1A 1A 1A 1A 3A 2C 2C 2C 2C 3A 6A 6A 13A2 13A4 13A1 13B2 13B4 13B1 13C 13D2 13D4 13D1 13A1 13A2 13A4 13B1 13B2 13B4
3 P 1A 2A 2B 2C 1A 4A-1 4A1 4B-1 4B1 2C 4A1 4A-1 13A2 13A4 13A1 13B2 13B4 13B1 13C 13D2 13D4 13D1 26A3 26A7 26A1 26B3 26B7 26B1
13 P 1A 2A 2B 2C 3A 4A1 4A-1 4B1 4B-1 6A 12A1 12A-1 1A 1A 1A 1A 1A 1A 1A 1A 1A 1A 2A 2A 2A 2B 2B 2B
Type
4056.bb.1a R 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4056.bb.1b R 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4056.bb.1c R 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4056.bb.1d R 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4056.bb.1e1 C 1 1 1 1 1 i i i i 1 i i 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4056.bb.1e2 C 1 1 1 1 1 i i i i 1 i i 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4056.bb.1f1 C 1 1 1 1 1 i i i i 1 i i 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4056.bb.1f2 C 1 1 1 1 1 i i i i 1 i i 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4056.bb.2a R 2 0 0 2 1 2 2 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0
4056.bb.2b R 2 0 0 2 1 2 2 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0
4056.bb.2c1 C 2 0 0 2 1 2i 2i 0 0 1 i i 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0
4056.bb.2c2 C 2 0 0 2 1 2i 2i 0 0 1 i i 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0
4056.bb.12a1 R 12 0 4 0 0 0 0 0 0 0 0 0 2ζ136+2ζ134+4+2ζ134+2ζ136 2ζ133+2ζ132+4+2ζ132+2ζ133 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 2ζ135+2ζ131+4+2ζ13+2ζ135 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 1 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 0 ζ136+ζ134+ζ134+ζ136 0 ζ135+ζ131+ζ13+ζ135 0 ζ133+ζ132+ζ132+ζ133
4056.bb.12a2 R 12 0 4 0 0 0 0 0 0 0 0 0 2ζ135+2ζ131+4+2ζ13+2ζ135 2ζ136+2ζ134+4+2ζ134+2ζ136 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 2ζ133+2ζ132+4+2ζ132+2ζ133 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 1 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 0 ζ135+ζ131+ζ13+ζ135 0 ζ133+ζ132+ζ132+ζ133 0 ζ136+ζ134+ζ134+ζ136
4056.bb.12a3 R 12 0 4 0 0 0 0 0 0 0 0 0 2ζ133+2ζ132+4+2ζ132+2ζ133 2ζ135+2ζ131+4+2ζ13+2ζ135 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 2ζ136+2ζ134+4+2ζ134+2ζ136 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 1 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 0 ζ133+ζ132+ζ132+ζ133 0 ζ136+ζ134+ζ134+ζ136 0 ζ135+ζ131+ζ13+ζ135
4056.bb.12b1 R 12 4 0 0 0 0 0 0 0 0 0 0 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 2ζ133+2ζ132+4+2ζ132+2ζ133 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 2ζ136+2ζ134+4+2ζ134+2ζ136 2ζ135+2ζ131+4+2ζ13+2ζ135 1 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136+ζ134+ζ134+ζ136 0 ζ133+ζ132+ζ132+ζ133 0 ζ135+ζ131+ζ13+ζ135 0
4056.bb.12b2 R 12 4 0 0 0 0 0 0 0 0 0 0 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 2ζ135+2ζ131+4+2ζ13+2ζ135 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 2ζ133+2ζ132+4+2ζ132+2ζ133 2ζ136+2ζ134+4+2ζ134+2ζ136 1 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ133+ζ132+ζ132+ζ133 0 ζ135+ζ131+ζ13+ζ135 0 ζ136+ζ134+ζ134+ζ136 0
4056.bb.12b3 R 12 4 0 0 0 0 0 0 0 0 0 0 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 2ζ136+2ζ134+4+2ζ134+2ζ136 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 2ζ135+2ζ131+4+2ζ13+2ζ135 2ζ133+2ζ132+4+2ζ132+2ζ133 1 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 ζ135+ζ131+ζ13+ζ135 0 ζ136+ζ134+ζ134+ζ136 0 ζ133+ζ132+ζ132+ζ133 0
4056.bb.12c1 R 12 4 0 0 0 0 0 0 0 0 0 0 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 2ζ133+2ζ132+4+2ζ132+2ζ133 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 2ζ136+2ζ134+4+2ζ134+2ζ136 2ζ135+2ζ131+4+2ζ13+2ζ135 1 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134ζ134ζ136 0 ζ133ζ132ζ132ζ133 0 ζ135ζ131ζ13ζ135 0
4056.bb.12c2 R 12 4 0 0 0 0 0 0 0 0 0 0 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 2ζ135+2ζ131+4+2ζ13+2ζ135 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 2ζ133+2ζ132+4+2ζ132+2ζ133 2ζ136+2ζ134+4+2ζ134+2ζ136 1 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ133ζ132ζ132ζ133 0 ζ135ζ131ζ13ζ135 0 ζ136ζ134ζ134ζ136 0
4056.bb.12c3 R 12 4 0 0 0 0 0 0 0 0 0 0 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 2ζ136+2ζ134+4+2ζ134+2ζ136 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 2ζ135+2ζ131+4+2ζ13+2ζ135 2ζ133+2ζ132+4+2ζ132+2ζ133 1 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 ζ135ζ131ζ13ζ135 0 ζ136ζ134ζ134ζ136 0 ζ133ζ132ζ132ζ133 0
4056.bb.12d1 R 12 0 4 0 0 0 0 0 0 0 0 0 2ζ136+2ζ134+4+2ζ134+2ζ136 2ζ133+2ζ132+4+2ζ132+2ζ133 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 2ζ135+2ζ131+4+2ζ13+2ζ135 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 1 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 0 ζ136ζ134ζ134ζ136 0 ζ135ζ131ζ13ζ135 0 ζ133ζ132ζ132ζ133
4056.bb.12d2 R 12 0 4 0 0 0 0 0 0 0 0 0 2ζ135+2ζ131+4+2ζ13+2ζ135 2ζ136+2ζ134+4+2ζ134+2ζ136 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 2ζ133+2ζ132+4+2ζ132+2ζ133 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 1 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 0 ζ135ζ131ζ13ζ135 0 ζ133ζ132ζ132ζ133 0 ζ136ζ134ζ134ζ136
4056.bb.12d3 R 12 0 4 0 0 0 0 0 0 0 0 0 2ζ133+2ζ132+4+2ζ132+2ζ133 2ζ135+2ζ131+4+2ζ13+2ζ135 ζ136+ζ134ζ133ζ1321ζ132ζ133+ζ134+ζ136 2ζ136+2ζ134+4+2ζ134+2ζ136 2ζ1362ζ134ζ133ζ1322ζ132ζ1332ζ1342ζ136 ζ136+ζ134+2ζ133+2ζ132+2ζ132+2ζ133+ζ134+ζ136 1 ζ136ζ134+ζ133+ζ1321+ζ132+ζ133ζ134ζ136 2ζ136+2ζ134+ζ133+ζ132+ζ132+ζ133+2ζ134+2ζ136 ζ136ζ1342ζ1332ζ13222ζ1322ζ133ζ134ζ136 0 ζ133ζ132ζ132ζ133 0 ζ136ζ134ζ134ζ136 0 ζ135ζ131ζ13ζ135
4056.bb.24a R 24 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 11 2 2 2 0 0 0 0 0 0
4056.bb.24b1 R 24 0 0 0 0 0 0 0 0 0 0 0 4ζ136+4ζ134+2ζ133+2ζ132+2ζ132+2ζ133+4ζ134+4ζ136 2ζ1362ζ134+2ζ133+2ζ1322+2ζ132+2ζ1332ζ1342ζ136 4ζ136+4ζ134+2ζ133+2ζ132+2ζ132+2ζ133+4ζ134+4ζ136 2ζ1362ζ1344ζ1334ζ13244ζ1324ζ1332ζ1342ζ136 2ζ1362ζ1344ζ1334ζ13244ζ1324ζ1332ζ1342ζ136 2ζ1362ζ134+2ζ133+2ζ1322+2ζ132+2ζ1332ζ1342ζ136 2 ζ133ζ132+2ζ132ζ133 ζ136ζ134+2ζ134ζ136 ζ135ζ131+2ζ13ζ135 0 0 0 0 0 0
4056.bb.24b2 R 24 0 0 0 0 0 0 0 0 0 0 0 2ζ1362ζ1344ζ1334ζ13244ζ1324ζ1332ζ1342ζ136 4ζ136+4ζ134+2ζ133+2ζ132+2ζ132+2ζ133+4ζ134+4ζ136 2ζ1362ζ1344ζ1334ζ13244ζ1324ζ1332ζ1342ζ136 2ζ1362ζ134+2ζ133+2ζ1322+2ζ132+2ζ1332ζ1342ζ136 2ζ1362ζ134+2ζ133+2ζ1322+2ζ132+2ζ1332ζ1342ζ136 4ζ136+4ζ134+2ζ133+2ζ132+2ζ132+2ζ133+4ζ134+4ζ136 2 ζ136ζ134+2ζ134ζ136 ζ135ζ131+2ζ13ζ135 ζ133ζ132+2ζ132ζ133 0 0 0 0 0 0
4056.bb.24b3 R 24 0 0 0 0 0 0 0 0 0 0 0 2ζ1362ζ134+2ζ133+2ζ1322+2ζ132+2ζ1332ζ1342ζ136 2ζ1362ζ1344ζ1334ζ13244ζ1324ζ1332ζ1342ζ136 2ζ1362ζ134+2ζ133+2ζ1322+2ζ132+2ζ1332ζ1342ζ136 4ζ136+4ζ134+2ζ133+2ζ132+2ζ132+2ζ133+4ζ134+4ζ136 4ζ136+4ζ134+2ζ133+2ζ132+2ζ132+2ζ133+4ζ134+4ζ136 2ζ1362ζ1344ζ1334ζ13244ζ1324ζ1332ζ1342ζ136 2 ζ135ζ131+2ζ13ζ135 ζ133ζ132+2ζ132ζ133 ζ136ζ134+2ζ134ζ136 0 0 0 0 0 0

magma: CharacterTable(G);
 

Regular extensions

Data not computed