Finite Group Databasebeta

← Group #11792284

Character table — Group #11792284

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666666663666666666121212121212121244121212121212121212121212121212121212121244441212121212121212224444666612121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-11-111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-11-1-1-11-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1111111-1-11111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-22-22222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000
χ112222222-12222222-12-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220022-1-1-1-10000-1-1-1-10000
χ122222222-12222222-12-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-200-2-21111000011110000
χ132222222-12222222-12-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211-2-211-1-1-1-1111111110000000000002-2002-2-1-1110000-1-1110000
χ142222222-12222222-12-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211-2-211-1-1-1-111111111000000000000-2200-2211-1-1000011-1-10000
χ152222222-1-2-2-2-2222-12-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-1-1-2-2111111-1-1-1-11111000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ162222222-1-2-2-2-2222-12-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-1-1-2-2111111-1-1-1-11111000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ172222222-1-2-2-2-2222-12-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-21122-1-111111111-1-1-1-1000000000000000000−i3i3i3−i30000−i3i3i3−i30000
χ182222222-1-2-2-2-2222-12-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-21122-1-111111111-1-1-1-1000000000000000000i3−i3−i3i30000i3−i3−i3i30000
χ19222222-122222-1-1-12-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000000-1-1-1-100000000
χ20222222-122222-1-1-12-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-2000000111100000000
χ21222222-122222-1-1-12-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-211-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-100-2-2000000111100000000
χ22222222-122222-1-1-12-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-211-2-2-1-1-1-111111111-2-2-2-2111111110022000000-1-1-1-100000000
χ23222222-12-2-2-2-2-1-1-12-12-1-1-12-122-1-1-1-1-1-1-11111-2-2-2-22-2-1-12211-2-21111-1-1-1-111110000−i3−i3−i3−i3i3i3i3i30000000000−i3−i3i3i300000000
χ24222222-12-2-2-2-2-1-1-12-12-1-1-12-122-1-1-1-1-1-1-11111-2-2-2-22-2-1-12211-2-21111-1-1-1-111110000i3i3i3i3−i3−i3−i3−i30000000000i3i3−i3−i300000000
χ25222222-12-2-2-2-2-1-1-12-12-1-1-12-122-1-1-1-1-1-1-11111-2-2-2-2-2211-2-2-1-12211111111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000000000i3i3−i3−i300000000
χ26222222-12-2-2-2-2-1-1-12-12-1-1-12-122-1-1-1-1-1-1-11111-2-2-2-2-2211-2-2-1-12211111111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000000000−i3−i3i3i300000000
χ272222-2-2222-22-22-2-2222-2-2222-2-22-2-2-2-22222-2-222-2-2000000000022-2-20000000000000000000002000-20022000000-2-20000
χ282222-2-2222-22-22-2-2222-2-2222-2-22-2-2-2-22222-2-222-2-2000000000022-2-2000000000000000000000-2000200-2-2000000220000
χ292222-2-222-22-222-2-2222-2-2222-2-22-2-2-2-222-2-222-2-2220000000000-2-222000000000000000000002000-2022000000-2-2000000
χ302222-2-222-22-222-2-2222-2-2222-2-22-2-2-2-222-2-222-2-2220000000000-2-22200000000000000000000-200020-2-200000022000000
χ312222-2-22-12-22-22-2-2-12-1-2-22-1-111-11111-1-122-2-2-1-1110000−i3i300−i3i3-1-111−i3−i3i3i3−i3−i3i3i300000000000002000-2−i3i3-1-10000i3−i3110000
χ322222-2-22-12-22-22-2-2-12-1-2-22-1-111-11111-1-122-2-2-1-1110000−i3i300−i3i3-1-111−i3−i3i3i3−i3−i3i3i30000000000000-20002i3−i3110000−i3i3-1-10000
χ332222-2-22-12-22-22-2-2-12-1-2-22-1-111-11111-1-122-2-2-1-1110000i3−i300i3−i3-1-111i3i3−i3−i3i3i3−i3−i300000000000002000-2i3−i3-1-10000−i3i3110000
χ342222-2-22-12-22-22-2-2-12-1-2-22-1-111-11111-1-122-2-2-1-1110000i3−i300i3−i3-1-111i3i3−i3−i3i3i3−i3−i30000000000000-20002−i3i3110000i3−i3-1-10000
χ352222-2-22-1-22-222-2-2-12-1-2-22-1-111-11111-1-1-2-22211-1-10000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i30000000000002000-20-1-1−i3i3000011i3−i30000
χ362222-2-22-1-22-222-2-2-12-1-2-22-1-111-11111-1-1-2-22211-1-10000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3000000000000-20002011i3−i30000-1-1−i3i30000
χ372222-2-22-1-22-222-2-2-12-1-2-22-1-111-11111-1-1-2-22211-1-10000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i30000000000002000-20-1-1i3−i3000011−i3i30000
χ382222-2-22-1-22-222-2-2-12-1-2-22-1-111-11111-1-1-2-22211-1-10000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3000000000000-20002011−i3i30000-1-1i3−i30000
χ392-2-222-22222-2-2-222-2-2-2-2-22222-2-222-2-22-22-22-22-22-200000000002-22-2000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ402-2-222-22222-2-2-222-2-2-2-2-22222-2-222-2-22-22-22-22-22-200000000002-22-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ412-2-222-222-2-222-222-2-2-2-2-22222-2-222-2-22-2-22-22-22-220000000000-22-2200000000000000000000002-20000002-22-200000000
χ422-2-222-222-2-222-222-2-2-2-2-22222-2-222-2-22-2-22-22-22-220000000000-22-220000000000000000000000-22000000-22-2200000000
χ432-2-222-2-1222-2-21-1-1-21-211-12-12-21-1-111-11-11-112-22-2003−3003−300-11-113−33−33−33−32i2i−2i−2i−i−iii−i−iii0000000000−i3i3i3−i300000000
χ442-2-222-2-1222-2-21-1-1-21-211-12-12-21-1-111-11-11-112-22-2003−3003−300-11-113−33−33−33−3−2i−2i2i2iii−i−iii−i−i0000000000i3−i3−i3i300000000
χ452-2-222-2-1222-2-21-1-1-21-211-12-12-21-1-111-11-11-112-22-200−3300−3300-11-11−33−33−33−332i2i−2i−2i−i−iii−i−iii0000000000i3−i3−i3i300000000
χ462-2-222-2-1222-2-21-1-1-21-211-12-12-21-1-111-11-11-112-22-200−3300−3300-11-11−33−33−33−33−2i−2i2i2iii−i−iii−i−i0000000000−i3i3i3−i300000000
χ472-2-222-2-12-2-2221-1-1-21-211-12-12-21-1-111-111-11-1-22-22003−300−33001-11-13−33−3−33−33000033−3−3−3−333002-2000000-11-1100000000
χ482-2-222-2-12-2-2221-1-1-21-211-12-12-21-1-111-111-11-1-22-22003−300−33001-11-13−33−3−33−330000−3−33333−3−300-220000001-11-100000000
χ492-2-222-2-12-2-2221-1-1-21-211-12-12-21-1-111-111-11-1-22-2200−33003−3001-11-1−33−333−33−3000033−3−3−3−33300-220000001-11-100000000
χ502-2-222-2-12-2-2221-1-1-21-211-12-12-21-1-111-111-11-1-22-2200−33003−3001-11-1−33−333−33−30000−3−33333−3−3002-2000000-11-1100000000
χ512-2-22-22222-2-22-2-2-2-2-2-222222-22-2-2-2222-22-2-222-2-2200000000002-2-2200000000000000000000000000000000000000002-2
χ522-2-22-22222-2-22-2-2-2-2-2-222222-22-2-2-2222-22-2-222-2-2200000000002-2-220000000000000000000000000000000000000000-22
χ532-2-22-2222-222-2-2-2-2-2-2-222222-22-2-2-2222-2-222-2-222-20000000000-222-2000000000000000000000000000000000000002-200
χ542-2-22-2222-222-2-2-2-2-2-2-222222-22-2-2-2222-2-222-2-222-20000000000-222-200000000000000000000000000000000000000-2200
χ55444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222224-4-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222-442222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ594444-4-4-244-44-4-2224-2422-24-2-4-4-22222-2-2-2-22244-4-40000000000-2-222000000000000000000000000000000000000000000
χ604444-4-4-24-44-44-2224-2422-24-2-4-4-22222-2-222-2-2-4-444000000000022-2-2000000000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-222-2-2-222-2-21221-1-1-1-111-2-222-2-2220000−2i32i300−2i32i311-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ624444-4-4-2-24-44-4-222-2-2-222-2-21221-1-1-1-111-2-222-2-22200002i3−2i3002i3−2i311-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ634444-4-4-2-2-44-44-222-2-2-222-2-21221-1-1-1-11122-2-222-2-20000−2i32i3002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ644444-4-4-2-2-44-44-222-2-2-222-2-21221-1-1-1-11122-2-222-2-200002i3−2i300−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6544-4-4004400004004-4-400-4-440040000-4-40000000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6644-4-4004400004004-4-400-4-440040000-4-4000000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6744-4-400-240000-2−2i32i342-4−2i32i32-4-200-2−2i32i3−2i32i3220000000000000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ6844-4-400-240000-2−2i32i342-4−2i32i32-4-200-2−2i32i3−2i32i322000000000000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ6944-4-400-240000-22i3−2i342-42i3−2i32-4-200-22i3−2i32i3−2i3220000000000000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ7044-4-400-240000-22i3−2i342-42i3−2i32-4-200-22i3−2i32i3−2i322000000000000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ714-44-400440000-400-44400-4-4400-40000-440000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ724-44-400440000-400-44400-4-4400-40000-44000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ734-44-400-2400002−2i32i3-4-242i3−2i32-4-2002−2i32i32i3−2i32-20000000000000000000000000000002i−2i−2i2i2ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ70000000000000000000000
χ744-44-400-2400002−2i32i3-4-242i3−2i32-4-2002−2i32i32i3−2i32-2000000000000000000000000000000−2i2i2i−2i−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ70000000000000000000000
χ754-44-400-24000022i3−2i3-4-24−2i32i32-4-20022i3−2i3−2i32i32-20000000000000000000000000000002i−2i−2i2i2ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ110000000000000000000000
χ764-44-400-24000022i3−2i3-4-24−2i32i32-4-20022i3−2i3−2i32i32-2000000000000000000000000000000−2i2i2i−2i−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ110000000000000000000000
χ774-4-444-44-244-4-4-4442-42-4-44-2-2-222-2-222-224-44-4-22-220000000000-22-22000000000000000000000000000000000000000000
χ784-4-444-44-2-4-444-4442-42-4-44-2-2-222-2-222-22-44-442-22-200000000002-22-2000000000000000000000000000000000000000000
χ794-4-444-4-2-244-4-42-2-222222-2-21-22-111-1-11-1-22-22-22-220023−230023−23001-11-1−33−33−33−330000000000000000000000000000000000
χ804-4-444-4-2-244-4-42-2-222222-2-21-22-111-1-11-1-22-22-22-2200−232300−2323001-11-13−33−33−33−30000000000000000000000000000000000
χ814-4-444-4-2-2-4-4442-2-222222-2-21-22-111-1-11-12-22-22-22-20023−2300−232300-11-11−33−333−33−30000000000000000000000000000000000
χ824-4-444-4-2-2-4-4442-2-222222-2-21-22-111-1-11-12-22-22-22-200−23230023−2300-11-113−33−3−33−330000000000000000000000000000000000
χ834-4-44-444-24-4-44-4-4-42-42444-2-22-2222-2-2-224-4-44-222-20000000000-222-2000000000000000000000000000000000000000000
χ844-4-44-444-2-444-4-4-4-42-42444-2-22-2222-2-2-22-444-42-2-2200000000002-2-22000000000000000000000000000000000000000000
χ854-4-44-44-244-4-44222-42-4-2-2-24-2-44222-2-2-22-222-24-4-440000000000-222-2000000000000000000000000000000000000000000
χ864-4-44-44-24-444-4222-42-4-2-2-24-2-44222-2-2-222-2-22-444-400000000002-2-22000000000000000000000000000000000000000000
χ874-4-44-44-2-24-4-44222222-2-2-2-212-2-1-1-1111-1-222-2-222-200000000001-1-113i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ884-4-44-44-2-24-4-44222222-2-2-2-212-2-1-1-1111-1-222-2-222-200000000001-1-11−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ894-4-44-44-2-2-444-4222222-2-2-2-212-2-1-1-1111-12-2-222-2-220000000000-111-13i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ904-4-44-44-2-2-444-4222222-2-2-2-212-2-1-1-1111-12-2-222-2-220000000000-111-1−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ9188-8-8008-40000800-4-8400-84-400-40000440000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4−4i34i3-444−4i34i34420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44i3−4i3-4444i3−4i3442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-40000-80048-400-84-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004−4i34i34-4-44i3−4i344200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044i3−4i34-4-4−4i34i344200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.