Finite Group Databasebeta

← Group #11922215

Character table — Group #11922215

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224466666688881212121212121216161616161616161616181818182424242424242436363636363648484848484872
order1222223666662244443666488881212366666666688882412242424244444886661212124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-111-111-1
χ3111111111111-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11-1-1-1
χ4111111111111-1-1-1-11111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-11
χ51111-1-11111-1-111-1-1111111-111-1-1111-1-1111-1-1-1-1-1-1-1-11-1-111-1-1-11-1-111111-1-1-11
χ61111-1-11111-1-111-1-1111111-1-1-111111-1-1111-1-1-1-11111-11-1-1-111-1111-1-1-1111-1-1-1
χ71111-1-11111-1-1-1-111111111-111-1-1111-1-1111-1-1-1-111111-1-111-1-11-111-1-11-1-1-111-1
χ81111-1-11111-1-1-1-111111111-1-1-111111-1-1111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-111-1-1-11111
χ9222222222222222222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-1000000200002200000-1-10-1-10
χ10222222222222-2-2-2-222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-100000020000-2-200000110110
χ11222222-1-1-1-1-1-1000022222222222-1-1-122-1-1-1-1-1-1-1000022-1-1-1-1-1000000-100-1000
χ12222222-1-1-1-1-1-100002222222-2-2-2-2-1-1-122-1-1-1-1-1-1-10000-2-2-111110000001001000
χ132222-2-22222-2-222-2-222-1-1-1-1-2000022-111-1-1-11111000000-20000-2200000-1-10110
χ142222-2-22222-2-2-2-22222-1-1-1-1-2000022-111-1-1-11111000000-200002-200000110-1-10
χ152222-2-2-1-1-1-1110000222222-222-2-2-1-1-1-2-2-1-1-1111100002-21-1-111000000-1001000
χ162222-2-2-1-1-1-1110000222222-2-2-222-1-1-1-2-2-1-1-111110000-22111-1-1000000100-1000
χ172-22-2002-22-20000002-222-2-2000002-22002-2-200002i2i−2i−2i0000000002i−2i000000000
χ182-22-2002-22-20000002-222-2-2000002-22002-2-20000−2i−2i2i2i000000000−2i2i000000000
χ192-2-222-22-2-222-22-22-200-111-10i2−i2i2−i200-11-111-111-1-1i2−i2i2−i2000i2−i2i2−i20000i2−i201-101-10
χ202-2-222-22-2-222-22-22-200-111-10−i2i2−i2i200-11-111-111-1-1−i2i2−i2i2000−i2i2−i2i20000−i2i201-101-10
χ212-2-222-22-2-222-2-22-2200-111-10i2−i2i2−i200-11-111-111-1-1−i2i2−i2i2000i2−i2i2−i20000−i2i20-110-110
χ222-2-222-22-2-222-2-22-2200-111-10−i2i2−i2i200-11-111-111-1-1i2−i2i2−i2000−i2i2−i2i20000i2−i20-110-110
χ232-2-22-222-2-22-222-2-2200-111-10i2−i2−i2i200-1-1111-1-1-111−i2i2−i2i2000i2−i2−i2i20000i2−i201-10-110
χ242-2-22-222-2-22-222-2-2200-111-10−i2i2i2−i200-1-1111-1-1-111i2−i2i2−i2000−i2i2i2−i20000−i2i201-10-110
χ252-2-22-222-2-22-22-222-200-111-10i2−i2−i2i200-1-1111-1-1-111i2−i2i2−i2000i2−i2−i2i20000−i2i20-1101-10
χ262-2-22-222-2-22-22-222-200-111-10−i2i2i2−i200-1-1111-1-1-111−i2i2−i2i2000−i2i2i2−i20000i2−i20-1101-10
χ273333333333333333-1-10000-11111-1-100000000001111-1-1-11111-1-1-1-111-100-100-1
χ283333333333333333-1-10000-1-1-1-1-1-1-10000000000-1-1-1-111-1-1-1-1-1-1-111-1-11001001
χ29333333333333-3-3-3-3-1-10000-11111-1-10000000000-1-1-1-1-1-1-111111111-1-1-100-1001
χ30333333333333-3-3-3-3-1-10000-1-1-1-1-1-1-10000000000111111-1-1-1-1-111-1-111100100-1
χ313333-3-33333-3-333-3-3-1-10000111-1-1-1-10000000000-1-1-1-1-11111-1-11-11111-100100-1
χ323333-3-33333-3-333-3-3-1-100001-1-111-1-1000000000011111-11-1-1111-1-1-1-1-1100-1001
χ333333-3-33333-3-3-3-333-1-10000111-1-1-1-100000000001111-11111-1-1-11-1-1-1-1-1001001
χ343333-3-33333-3-3-3-333-1-100001-1-111-1-10000000000-1-1-1-11-11-1-111-111111100-100-1
χ35444444-2-2-2-2-2-2000044-2-2-2-240000-2-21-2-21111111000000-200000000000000000
χ364444-4-4-2-2-2-222000044-2-2-2-2-40000-2-2122111-1-1-1-1000000200000000000000000
χ3744-4-40044-4-400000000-22-220000000-2002-22000022−22−222200000000000000000000
χ3844-4-40044-4-400000000-22-220000000-2002-220000−222222−2200000000000000000000
χ394-44-4004-44-40000004-4-2-222000004-4-200-2220000000000000000000000000000
χ404-44-400-22-220000004-444-4-400000-22-200-2220000000000000000000000000000
χ414-44-400-22-220000004-4-2-22200000-221001-1-13-33-3000000000000000000000000
χ424-44-400-22-220000004-4-2-22200000-221001-1-1-33-33000000000000000000000000
χ434-4-444-44-4-444-44-44-4001-1-1100000001-11-1-11-1-111000000000000000000-110-110
χ444-4-444-44-4-444-4-44-44001-1-1100000001-11-1-11-1-1110000000000000000001-101-10
χ454-4-444-4-222-2-22000000-222-202i2−2i22i2−2i20012-2-1-11-1-1110000000−i2i2−i2i20000000000000
χ464-4-444-4-222-2-22000000-222-20−2i22i2−2i22i20012-2-1-11-1-1110000000i2−i2i2−i20000000000000
χ474-4-44-444-4-44-444-4-44001-1-11000000011-1-1-1111-1-1000000000000000000-1101-10
χ484-4-44-444-4-44-44-444-4001-1-11000000011-1-1-1111-1-10000000000000000001-10-110
χ494-4-44-44-222-22-2000000-222-202i2−2i2−2i22i2001-22-1-1111-1-10000000−i2i2i2−i20000000000000
χ504-4-44-44-222-22-2000000-222-20−2i22i22i2−2i2001-22-1-1111-1-10000000i2−i2−i2i20000000000000
χ51666666-3-3-3-3-3-30000-2-20000-222221100000000000000-2-21-1-1-1-10000001001000
χ52666666-3-3-3-3-3-30000-2-20000-2-2-2-2-211000000000000002211111000000-100-1000
χ536666-6-6-3-3-3-3330000-2-20000222-2-21100000000000000-22-1-1-111000000100-1000
χ546666-6-6-3-3-3-3330000-2-200002-2-22211000000000000002-2-111-1-1000000-1001000
χ556-66-6006-66-6000000-22000000000-2200000000002i2i−2i−2i000000000−2i2i000000000
χ566-66-6006-66-6000000-22000000000-220000000000−2i−2i2i2i0000000002i−2i000000000
χ5788-8-80088-8-8000000002-22-20000000200-22-20000000000000000000000000000
χ5888-8-800-4-444000000002-22-20000000-1001-113-3-33000000000000000000000000
χ5988-8-800-4-444000000002-22-20000000-1001-11-333-3000000000000000000000000
χ6088-8-800-4-44400000000-44-440000000200-22-20000000000000000000000000000
χ618-8-888-8-444-4-440000002-2-220000000-1-2211-111-1-1000000000000000000000000
χ628-8-88-88-444-44-40000002-2-220000000-12-211-1-1-111000000000000000000000000
χ6312-1212-1200-66-66000000-440000000002-20000000000000000000000000000000000

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