Finite Group Databasebeta

← Group #11788321

Character table — Group #11788321

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order12224423346666661212121266661212121212128888888822224444224424242424242424246612128888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-111-11111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1
χ6111111-111-11111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ7111111-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ8111111-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1
χ91111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-11-11-1ii−i−iii−i−i1-11-1i−ii−i
χ101111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1-11-11ii−i−iii−i−i-11-11−ii−ii
χ111111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-11-11-1−i−iii−i−iii1-11-1−ii−ii
χ121111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1-11-11−i−iii−i−iii-11-11i−ii−i
χ131111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii11-1-111-1-11-1-11ii−i−i−i−iii1-1-11i−i−ii
χ141111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii11-1-111-1-1-111-1ii−i−i−i−iii-111-1−iii−i
χ151111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i11-1-111-1-11-1-11−i−iiiii−i−i1-1-11−iii−i
χ161111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i11-1-111-1-1-111-1−i−iiiii−i−i-111-1i−i−ii
χ1722222222222222222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000
χ18222222-222-22222222222-2-2-2-222-2-2-2-200000000-2-22222-2-200000000000000000000
χ192222-2-2222-2222222-2-2-2-22222-2-2-2-2-2-200000000-2-2-2-2222200000000000000000000
χ202222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2222200000000-2-222-2-22200000000000000000000
χ212-2-222-20220-2-2-222-222-2-200002-2000000002i−2i2i−2i2-200002-2000000002i−2i2i−2i00000000
χ222-2-222-20220-2-2-222-222-2-200002-200000000−2i2i−2i2i2-200002-200000000−2i2i−2i2i00000000
χ232-2-222-20220-2-2-222-222-2-200002-200002i−2i2i−2i0000-220000-2200002i−2i2i−2i000000000000
χ242-2-222-20220-2-2-222-222-2-200002-20000−2i2i−2i2i0000-220000-220000−2i2i−2i2i000000000000
χ252-2-22-220220-2-2-222-2-2-2220000-22000000002-2-222-20000-22000000002-2-2200000000
χ262-2-22-220220-2-2-222-2-2-2220000-2200000000-222-22-20000-2200000000-222-200000000
χ272-2-22-220220-2-2-222-2-2-2220000-2200002-2-220000-2200002-200002-2-22000000000000
χ282-2-22-220220-2-2-222-2-2-2220000-220000-222-20000-2200002-20000-222-2000000000000
χ2944444441-2411-21-2-2111111-2-2-2-211-2-222222222000000000000-1-1-1-1-1-1-1-100000000
χ3044444441-2411-21-2-2111111-2-2-2-211-2-2-2-2-2-2-2-2-2-20000000000001111111100000000
χ314444444-214-2-21-211-2-2-2-2-2-21111-2-2110000000000000000222200000000-1-1-1-10000
χ324444444-214-2-21-211-2-2-2-2-2-21111-2-2110000000000000000-2-2-2-20000000011110000
χ33444444-41-2-411-21-2-21111-1-122-2-2-1-1222222-2-2-2-2000000000000-1-1-1-1111100000000
χ34444444-41-2-411-21-2-21111-1-122-2-2-1-122-2-2-2-222220000000000001111-1-1-1-100000000
χ35444444-4-21-4-2-21-211-2-2-2-222-1-11122-1-1000000000000000022-2-200000000-1-1110000
χ36444444-4-21-4-2-21-211-2-2-2-222-1-11122-1-10000000000000000-2-2220000000011-1-10000
χ374444-4-441-2-411-21-2-2-1-1-1-111-2-222-1-1222i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii00000000
χ384444-4-441-2-411-21-2-2-1-1-1-111-2-222-1-122−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i00000000
χ394444-4-44-21-4-2-21-2112222-2-211-1-122-1-100000000000000002-22-200000000-11-110000
χ404444-4-44-21-4-2-21-2112222-2-211-1-122-1-10000000000000000-22-22000000001-11-10000
χ414444-4-4-41-2411-21-2-2-1-1-1-1-1-1222211-2-22i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000000
χ424444-4-4-41-2411-21-2-2-1-1-1-1-1-1222211-2-2−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000000
χ434444-4-4-4-214-2-21-211222222-1-1-1-1-2-21100000000000000002-2-2200000000-111-10000
χ444444-4-4-4-214-2-21-211222222-1-1-1-1-2-2110000000000000000-222-2000000001-1-110000
χ4544-4-40004404-44-4-4-4000000000000000000000000004i−4i0000000000000000000000
χ4644-4-40004404-44-4-4-400000000000000000000000000−4i4i0000000000000000000000
χ474-44-4000440-44-4-4-440000000000000000000000004-4000000000000000000000000
χ484-44-4000440-44-4-4-44000000000000000000000000-44000000000000000000000000
χ494-4-444-401-20-1-121-2211-1-13-300-223-3002i−2i2i−2i2i−2i2i−2i000000000000−ii−ii−ii−ii00000000
χ504-4-444-401-20-1-121-2211-1-13-300-223-300−2i2i−2i2i−2i2i−2i2i000000000000i−ii−ii−ii−i00000000
χ514-4-444-401-20-1-121-2211-1-1-3300-22-33002i−2i2i−2i−2i2i−2i2i000000000000−ii−iii−ii−i00000000
χ524-4-444-401-20-1-121-2211-1-1-3300-22-3300−2i2i−2i2i2i−2i2i−2i000000000000i−ii−i−ii−ii00000000
χ534-4-44-4401-20-1-121-22-1-1113-3002-2-33002-2-222-2-22000000000000-111-1-111-100000000
χ544-4-44-4401-20-1-121-22-1-1113-3002-2-3300-222-2-222-20000000000001-1-111-1-1100000000
χ554-4-44-4401-20-1-121-22-1-111-33002-23-3002-2-22-222-2000000000000-111-11-1-1100000000
χ564-4-44-4401-20-1-121-22-1-111-33002-23-300-222-22-2-220000000000001-1-11-111-100000000
χ5788-8-80002-402-2-4-2446i−6i6i−6i0000000000000000000000000000000000000000000000
χ5888-8-80002-402-2-4-244−6i6i−6i6i0000000000000000000000000000000000000000000000
χ5988-8-8000-420-4424-2-20000000000006i−6i000000000000000000000000000000000000
χ6088-8-8000-420-4424-2-2000000000000−6i6i000000000000000000000000000000000000
χ618-88-80002-40-224-24-46i−6i−6i6i0000000000000000000000000000000000000000000000
χ628-88-80002-40-224-24-4−6i6i6i−6i0000000000000000000000000000000000000000000000
χ638-88-8000-4204-4-24-220000006-6000000000000000000000000000000000000000000
χ648-88-8000-4204-4-24-22000000-66000000000000000000000000000000000000000000
χ658-8-888-80-42044-2-42-2-4-44400002-20000000000000000000000000000000000000000
χ668-8-88-880-42044-2-42-244-4-40000-220000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).