Finite Group Databasebeta

← Group #11866376

Character table — Group #11866376

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order12222233446666666666121212124444444412121212121244442224666612121212121244888861288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ611111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ711111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-111-1-111-1-111-1-111111-11-1-111-11-111-1-111-1-1-1-11-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-111-1-111111-11-1-11-11-11-1-11111-1-1-1-11-1-1-111-11-11
χ111111-1-1111-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-11-1-111-11-111-1-1-1-111111-1-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-11-1-11-11-11-1-111-1-111111-111-1-1-111-1
χ131111-1-111-11111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-1111-1-111-1-111-11-1-111-111-1
χ141111-1-111-11111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-11-111-1-1-11111-1-111-1111-1-11-1-11
χ151111-1-111-11111111-1-1-1-1-1-111-1-11111-1-11111-111-1-111-1-1111-1-1-1-111-1-1-1111-1-1-11-11
χ161111-1-111-11111111-1-1-1-1-1-111-1-11111-1-11111-111-1-11-111-1-1-111-1-111-1-1-11-1-1111-11-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-22222222222-2-2-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-2-2-222-2-20000000000002-2-222-200000000000000-2200000000
χ202222-2-222-22222222-2-2-2-2-2-222000000000000-22-222-2000000000000002-200000000
χ212-2-222-22200-2-22-2-222-22-2000000002-22-222-2-200-22-220000000000002-20000000000
χ222-2-222-22200-2-22-2-222-22-200000000-22-22-2-22200-22-22000000000000-220000000000
χ232-2-222-22200-2-22-2-222-22-200002i−2i2i−2i00000000002-22-2000000002i−2i2i−2i000000000000
χ242-2-222-22200-2-22-2-222-22-20000−2i2i−2i2i00000000002-22-200000000−2i2i−2i2i000000000000
χ252-2-22-222200-2-22-2-22-22-22000000002-2-2222-2-200-2-222000000000000-220000000000
χ262-2-22-222200-2-22-2-22-22-2200000000-222-2-2-22200-2-2220000000000002-20000000000
χ272-2-22-222200-2-22-2-22-22-2200002i−2i−2i2i000000000022-2-2000000002i−2i−2i2i000000000000
χ282-2-22-222200-2-22-2-22-22-220000−2i2i2i−2i000000000022-2-200000000−2i2i2i−2i000000000000
χ294444441-244-2-2-211111-2-2111122222222-1-1-1-1-2-2000000000000-1-1-1-1-1-10000000000
χ304444441-244-2-2-211111-2-21111-2-2-2-2-2-2-2-21111-2-20000000000001111110000000000
χ314444441-2-4-4-2-2-211111-2-2-1-1-1-12222-2-2-2-2111122000000000000-1-1-1-1110000000000
χ324444441-2-4-4-2-2-211111-2-2-1-1-1-1-2-2-2-22222-1-1-1-1220000000000001111-1-10000000000
χ33444444-2144111-2-2-2-2-211-2-2-2-20000000000001100002222-1-1-1-1000000000000-1-100
χ34444444-2144111-2-2-2-2-211-2-2-2-2000000000000110000-2-2-2-211110000000000001100
χ35444444-21-4-4111-2-2-2-2-2112222000000000000-1-1000022-2-2-1-1-1-10000000000001100
χ36444444-21-4-4111-2-2-2-2-2112222000000000000-1-10000-2-2221111000000000000-1-100
χ374444-4-41-24-4-2-2-2111-1-12211-1-122-2-222-2-2-1-1-1-1-22000000000000-1-111110000000000
χ384444-4-41-24-4-2-2-2111-1-12211-1-1-2-222-2-2221111-2200000000000011-1-1-1-10000000000
χ394444-4-41-2-44-2-2-2111-1-122-1-11122-2-2-2-22211112-2000000000000-1-111-1-10000000000
χ404444-4-41-2-44-2-2-2111-1-122-1-111-2-22222-2-2-1-1-1-12-200000000000011-1-1110000000000
χ414444-4-4-214-4111-2-2-222-1-1-2-2220000000000001-100002-22-2-1-111000000000000-1100
χ424444-4-4-214-4111-2-2-222-1-1-2-2220000000000001-10000-22-2211-1-10000000000001-100
χ434444-4-4-21-44111-2-2-222-1-122-2-2000000000000-1100002-2-22-1-1110000000000001-100
χ444444-4-4-21-44111-2-2-222-1-122-2-2000000000000-110000-222-211-1-1000000000000-1100
χ4544-4-40044004-4-44-4-4000000000000000000000000000000000000000000−2i22i2000000
χ4644-4-40044004-4-44-4-40000000000000000000000000000000000000000002i2−2i2000000
χ474-44-4004400-44-4-44-400000000000000000000000000000000000000000000−2i22i20000
χ484-44-4004400-44-4-44-4000000000000000000000000000000000000000000002i2−2i20000
χ494-4-444-41-20022-2-1-111-1-223i−3i3i−3i2i−2i2i−2i2-22-2-1-11100000000000000−ii−ii-110000000000
χ504-4-444-41-20022-2-1-111-1-223i−3i3i−3i−2i2i−2i2i-22-2211-1-100000000000000i−ii−i1-10000000000
χ514-4-444-41-20022-2-1-111-1-22−3i3i−3i3i2i−2i2i−2i-22-2211-1-100000000000000−ii−ii1-10000000000
χ524-4-444-41-20022-2-1-111-1-22−3i3i−3i3i−2i2i−2i2i2-22-2-1-11100000000000000i−ii−i-110000000000
χ534-4-44-441-20022-2-1-11-112-23i−3i−3i3i2i−2i−2i2i2-2-22-1-11100000000000000−iii−i1-10000000000
χ544-4-44-441-20022-2-1-11-112-23i−3i−3i3i−2i2i2i−2i-222-211-1-100000000000000i−i−ii-110000000000
χ554-4-44-441-20022-2-1-11-112-2−3i3i3i−3i2i−2i−2i2i-222-211-1-100000000000000−iii−i-110000000000
χ564-4-44-441-20022-2-1-11-112-2−3i3i3i−3i−2i2i2i−2i2-2-22-1-11100000000000000i−i−ii1-10000000000
χ5788-8-8002-400-4442-2-2000000000000000023−2323−23000000000000000000000000000000
χ5888-8-8002-400-4442-2-20000000000000000−2323−2323000000000000000000000000000000
χ5988-8-800-42002-2-2-444000000000000000000000000000000−2i32i3000000000000000000
χ6088-8-800-42002-2-2-4440000000000000000000000000000002i3−2i3000000000000000000
χ618-88-8002-4004-44-22-2000000000000000023−23−2323000000000000000000000000000000
χ628-88-8002-4004-44-22-20000000000000000−232323−23000000000000000000000000000000
χ638-88-800-4200-22-24-4400000000000000000000000000000000−2i32i30000000000000000
χ648-88-800-4200-22-24-44000000000000000000000000000000002i3−2i30000000000000000
χ658-8-888-8-4200-2-2244-4-442-20000000000000000000000000000000000000000000000
χ668-8-88-88-4200-2-2244-44-4-220000000000000000000000000000000000000000000000

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