Finite Group Databasebeta

← Group #88874

Character table — Group #88874

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30
size1366826121216261212162612121626121216927545472
order1224336612391818369918183699181836922246
χ1111111111111111111111111111111
χ211-1-1111-1-1111-1-1111-1-1111-1-1111-1-11
χ32200-12200-12200-12200-12200-12200-1
χ43-11-103-11-103-11-103-11-103-11-103-11-10
χ53-1-1103-1-1103-1-1103-1-1103-1-1103-1-110
χ61111111111111111111111111-1-1-1-1-1
χ711-1-1111-1-1111-1-1111-1-1111-1-11-1-111-1
χ82200-12200-12200-12200-12200-1-2-2001
χ93-11-103-11-103-11-103-11-103-11-10-31-110
χ103-1-1103-1-1103-1-1103-1-1103-1-110-311-10
χ112222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000
χ1222-2-2222-2-22-1-111-1-1-111-1-1-111-100000
χ134400-24400-2-2-2001-2-2001-2-200100000
χ146-22-206-22-20-31-110-31-110-31-11000000
χ156-2-2206-2-220-311-10-311-10-311-1000000
χ1622222-1-1-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ500000
χ1722-2-22-1-111-1ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ500000
χ184400-2-2-20012ζ+2ζ82ζ+2ζ800−ζ−ζ82ζ2+2ζ72ζ2+2ζ700−ζ2−ζ72ζ4+2ζ52ζ4+2ζ500−ζ4−ζ500000
χ196-22-20-31-1103ζ+3ζ8−ζ−ζ8ζ+ζ8−ζ−ζ803ζ2+3ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ703ζ4+3ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5000000
χ206-2-220-311-103ζ+3ζ8−ζ−ζ8−ζ−ζ8ζ+ζ803ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ703ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5000000
χ2122222-1-1-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ800000
χ2222-2-22-1-111-1ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ800000
χ234400-2-2-20012ζ2+2ζ72ζ2+2ζ700−ζ2−ζ72ζ4+2ζ52ζ4+2ζ500−ζ4−ζ52ζ+2ζ82ζ+2ζ800−ζ−ζ800000
χ246-22-20-31-1103ζ2+3ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ703ζ4+3ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ503ζ+3ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8000000
χ256-2-220-311-103ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ703ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ503ζ+3ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8000000
χ2622222-1-1-1-1-1ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ700000
χ2722-2-22-1-111-1ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ700000
χ284400-2-2-20012ζ4+2ζ52ζ4+2ζ500−ζ4−ζ52ζ+2ζ82ζ+2ζ800−ζ−ζ82ζ2+2ζ72ζ2+2ζ700−ζ2−ζ700000
χ296-22-20-31-1103ζ4+3ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ503ζ+3ζ8−ζ−ζ8ζ+ζ8−ζ−ζ803ζ2+3ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7000000
χ306-2-220-311-103ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ503ζ+3ζ8−ζ−ζ8−ζ−ζ8ζ+ζ803ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1).