Finite Group Databasebeta

← Group #11866227

Character table — Group #11866227

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244334466666612121212121212122222444412121212121222442224666666121212124488886688
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-111-1-1
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
χ511111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ611111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-111
χ711111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ91111-1-1111-1111111-1-1-1-111-1-111-1-111-1-111111-1-1-1111-11-111-1-111-1-1-1-11-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-111-1-111111-1-1-111-11-1111-1-1-1-1-1-1111-1-1-111-11-11
χ111111-1-1111-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-1111-11-1-1-1111111-1-11-1-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-111-11-11-1-111-1-111111-111-1-1-111-1
χ131111-1-111-11111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1111-1-1111-1-1-1-11111-1111-1-11-1-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-111-111-1-11111-1-1-11-1-111-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-11111-1-11111-11-1-1111-1-11-1-111-1-1-1-111-11-1-1111-11-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-11111-1-11111-11-1-111-111-1-1-11111-1-1-1-1-1111-1-1-11-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-22222222222-2-2-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-2-2-222-2-20000000000002-222-2-200000000000000-2200000000
χ202222-2-222-22222222-2-2-2-2-2-222000000000000-2222-2-2000000000000002-200000000
χ212-22-22-22200-22-2-22-22-22-2000000002i−2i2i−2i2i2i−2i−2i002-22-200000000002i−2i000000000000
χ222-22-22-22200-22-2-22-22-22-200000000−2i2i−2i2i−2i−2i2i2i002-22-20000000000−2i2i000000000000
χ232-22-22-22200-22-2-22-22-22-200002-22-20000000000-22-2200002-22-20000000000000000
χ242-22-22-22200-22-2-22-22-22-20000-22-220000000000-22-220000-22-220000000000000000
χ252-22-2-222200-22-2-22-2-22-22000000002i−2i−2i2i2i2i−2i−2i00-222-20000000000−2i2i000000000000
χ262-22-2-222200-22-2-22-2-22-2200000000−2i2i2i−2i−2i−2i2i2i00-222-200000000002i−2i000000000000
χ272-22-2-222200-22-2-22-2-22-2200002-2-2200000000002-2-2200002-2-220000000000000000
χ282-22-2-222200-22-2-22-2-22-220000-222-200000000002-2-220000-222-20000000000000000
χ294444441-244-21-21-2111-2-2111122222222-1-1-1-1-2-200000000-1-1-1-100-1-1000000000000
χ304444441-244-21-21-2111-2-21111-2-2-2-2-2-2-2-21111-2-20000000011110011000000000000
χ314444441-2-4-4-21-21-2111-2-2-1-1-1-12222-2-2-2-211112200000000-1-1-1-10011000000000000
χ324444441-2-4-4-21-21-2111-2-2-1-1-1-1-2-2-2-22222-1-1-1-12200000000111100-1-1000000000000
χ33444444-21441-21-21-2-2-211-2-2-2-200000000000011000022220000-1-100-1-1000000-1-100
χ34444444-21441-21-21-2-2-211-2-2-2-2000000000000110000-2-2-2-200001100110000001100
χ35444444-21-4-41-21-21-2-2-2112222000000000000-1-1000022-2-20000110011000000-1-100
χ36444444-21-4-41-21-21-2-2-2112222000000000000-1-10000-2-2220000-1-100-1-10000001100
χ374444-4-41-24-4-21-21-21-1-12211-1-122-2-222-2-2-1-1-1-1-2200000000-1-1110011000000000000
χ384444-4-41-24-4-21-21-21-1-12211-1-1-2-222-2-2221111-220000000011-1-100-1-1000000000000
χ394444-4-41-2-44-21-21-21-1-122-1-11122-2-2-2-22211112-200000000-1-11100-1-1000000000000
χ404444-4-41-2-44-21-21-21-1-122-1-111-2-22222-2-2-1-1-1-12-20000000011-1-10011000000000000
χ414444-4-4-214-41-21-21-222-1-1-2-2220000000000001-100002-22-20000-1-10011000000-1100
χ424444-4-4-214-41-21-21-222-1-1-2-2220000000000001-10000-22-2200001100-1-10000001-100
χ434444-4-4-21-441-21-21-222-1-122-2-2000000000000-1100002-2-2200001100-1-1000000-1100
χ444444-4-4-21-441-21-21-222-1-122-2-2000000000000-110000-222-20000-1-100110000001-100
χ4544-4-4004400-4-44-4-4400000000000000000000000000000000000000000022−22000000
χ4644-4-4004400-4-44-4-44000000000000000000000000000000000000000000−2222000000
χ474-44-44-41-200212-1-2-11-1-223i−3i3i−3i2-22-22i−2i2i−2i−i−iii0000000000-11-1100−ii000000000000
χ484-44-44-41-200212-1-2-11-1-223i−3i3i−3i-22-22−2i2i−2i2iii−i−i00000000001-11-100i−i000000000000
χ494-44-44-41-200212-1-2-11-1-22−3i3i−3i3i2-22-2−2i2i−2i2iii−i−i0000000000-11-1100i−i000000000000
χ504-44-44-41-200212-1-2-11-1-22−3i3i−3i3i-22-222i−2i2i−2i−i−iii00000000001-11-100−ii000000000000
χ514-44-4-441-200212-1-2-1-112-23i−3i−3i3i2-2-222i−2i−2i2i−i−iii0000000000-111-100i−i000000000000
χ524-44-4-441-200212-1-2-1-112-23i−3i−3i3i-222-2−2i2i2i−2iii−i−i00000000001-1-1100−ii000000000000
χ534-44-4-441-200212-1-2-1-112-2−3i3i3i−3i2-2-22−2i2i2i−2iii−i−i0000000000-111-100−ii000000000000
χ544-44-4-441-200212-1-2-1-112-2−3i3i3i−3i-222-22i−2i−2i2i−i−iii00000000001-1-1100i−i000000000000
χ554-4-440044004-4-44-4-40000000000000000000000000000000000000000000022−220000
χ564-4-440044004-4-44-4-400000000000000000000000000000000000000000000−22220000
χ5788-8-8002-4004-2-4-2420000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5888-8-8002-4004-2-4-24200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ5988-8-800-4200-2424-2-40000000000000000000000000000000000−2i32i300000000000000
χ6088-8-800-4200-2424-2-400000000000000000000000000000000002i3−2i300000000000000
χ618-88-88-8-4200-2-4-2424-442-20000000000000000000000000000000000000000000000
χ628-88-8-88-4200-2-4-24244-4-220000000000000000000000000000000000000000000000
χ638-8-88002-400-4-2424-2000000000000000023−23−2323000000000000000000000000000000
χ648-8-88002-400-4-2424-20000000000000000−232323−23000000000000000000000000000000
χ658-8-8800-420024-2-4-240000000000000000000000000000000000000023−230000000000
χ668-8-8800-420024-2-4-2400000000000000000000000000000000000000−23230000000000

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