We use the coded (not in-built) function IrrepDegreeGroupingFull (follow link to get code) as follows:
gap>IrrepDegreeGroupingFull(48);
[ [ [ [ 1, 2 ], [ 2, 3 ], [ 3, 2 ], [ 4, 1 ] ], [ 28, 29 ] ],
[ [ [ 1, 3 ], [ 3, 5 ] ], [ 3, 50 ] ],
[ [ [ 1, 4 ], [ 2, 2 ], [ 3, 4 ] ], [ 30, 48 ] ],
[ [ [ 1, 4 ], [ 2, 7 ], [ 4, 1 ] ], [ 15, 16, 17, 18 ] ],
[ [ [ 1, 4 ], [ 2, 11 ] ], [ 6, 7, 8 ] ],
[ [ [ 1, 6 ], [ 2, 6 ], [ 3, 2 ] ], [ 32, 33 ] ],
[ [ [ 1, 8 ], [ 2, 6 ], [ 4, 1 ] ], [ 38, 39, 40, 41 ] ],
[ [ [ 1, 8 ], [ 2, 10 ] ], [ 5, 10, 12, 13, 14, 19, 34, 36, 37, 43 ] ],
[ [ [ 1, 12 ], [ 2, 9 ] ], [ 25, 26, 27 ] ],
[ [ [ 1, 12 ], [ 3, 4 ] ], [ 31, 49 ] ],
[ [ [ 1, 16 ], [ 2, 8 ] ], [ 1, 4, 9, 11, 35, 42, 51 ] ],
[ [ [ 1, 24 ], [ 2, 6 ] ], [ 21, 22, 24, 45, 46, 47 ] ],
[ [ [ 1, 48 ] ], [ 2, 20, 23, 44, 52 ] ] ]
Divisor |
Quotient value |
Information on linear representation theory |
Relationship (subgroup perspective) |
Relationship (quotient perspective)
|
2 |
24 |
linear representation theory of cyclic group:Z2 |
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|
3 |
16 |
linear representation theory of cyclic group:Z3 |
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|
4 |
12 |
linear representation theory of groups of order 4 |
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|
6 |
8 |
linear representation theory of groups of order 6 |
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|
8 |
6 |
linear representation theory of groups of order 8 |
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|
12 |
4 |
linear representation theory of groups of order 12 |
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|
16 |
3 |
linear representation theory of groups of order 16 |
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|
24 |
2 |
linear representation theory of groups of order 24 |
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|