Finite Group Databasebeta

← Group #11779342

Character table — Group #11779342

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222222244444444444444444444444888888888888888888881212121212121212121212121212121212122424242424242424242424242424247272144
order122233444466666612121212344466612121212121212121212121212121212412121212121212121212121212121212121212448888121212122424242424242424224666688121224242424884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-111-1-11111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1
χ6111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11
χ7111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-11
χ8111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1111111-1
χ92222222-2-22222222-2-2-2-2222-22222222-2-22222-2-2-2-2-2-2-222-2-2-2-2-222-2-22222-2-2-2-2000000000000000000000000000000000000
χ102222222-2-22222222-2-2-2-22-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22-2-22222-222-2-2-2-2-2-22222000000000000000000000000000000000000
χ11222222-222-22222222222200-2222-2-2-2-22200002222-2-20000000-2-2-2-2-20000000022000022220000000000-2000000-2-20000000
χ12222222-222-22222222222200-2222-2-2-2-22200002222-2-20000000-2-2-2-2-200000000-2-20000-2-2-2-200000000002000000220000000
χ13222222-2-2-2-2222222-2-2-2-22002222-2-2-2-2-2-20000-2-2-2-22200000002-2-222000000000000000000000000002-2022-2-200000000000
χ14222222-2-2-2-2222222-2-2-2-22002222-2-2-2-2-2-20000-2-2-2-22200000002-2-22200000000000000000000000000-220-2-22200000000000
χ1522222-12222222-1-1-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100000000222-1-1-1-100-1-10000000
χ1622222-12222222-1-1-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000111100000000-2-2-2111100110000000
χ1722222-12222222-1-1-12222-1-2-22-1-1-122-1-1-1-11111-1-1-1-122-2-2-2-2-211-1-1-1-1-111111111220000-1-1-1-100000000-2-22111100-1-10000000
χ1822222-12222222-1-1-12222-1-2-22-1-1-122-1-1-1-11111-1-1-1-122-2-2-2-2-211-1-1-1-1-111111111-2-2000011110000000022-2-1-1-1-100110000000
χ1922222-12-2-22222-1-1-1-2-2-2-2-122-2-1-1-122-1-111-1-1-1-11111-2-2-222-2-2111-1-111-1-1-1-11111000000−i3−i3i3i300000000000−i3i3−i3i300−i3i30000000
χ2022222-12-2-22222-1-1-1-2-2-2-2-122-2-1-1-122-1-111-1-1-1-11111-2-2-222-2-2111-1-111-1-1-1-11111000000i3i3−i3−i300000000000i3−i3i3−i300i3−i30000000
χ2122222-12-2-22222-1-1-1-2-2-2-2-1-2-2-2-1-1-122-1-11111111111-2-22-2-222-1-11-1-1111111-1-1-1-1000000−i3−i3i3i300000000000i3−i3i3−i300−i3i30000000
χ2222222-12-2-22222-1-1-1-2-2-2-2-1-2-2-2-1-1-122-1-11111111111-2-22-2-222-1-11-1-1111111-1-1-1-1000000i3i3−i3−i300000000000−i3i3−i3i300i3−i30000000
χ2322222-1-222-2222-1-1-12222-100-2-1-1-1-2-211-1-1−i3−i3i3i3-1-1-1-1-2-200000−i3i311111−i3−i3i3i3−i3−i3i3i3220000-1-1-1-10000000000-2−i3i3i3−i300110000000
χ2422222-1-222-2222-1-1-12222-100-2-1-1-1-2-211-1-1−i3−i3i3i3-1-1-1-1-2-200000−i3i311111−i3−i3i3i3−i3−i3i3i3-2-20000111100000000002i3−i3−i3i300-1-10000000
χ2522222-1-222-2222-1-1-12222-100-2-1-1-1-2-211-1-1i3i3−i3−i3-1-1-1-1-2-200000i3−i311111i3i3−i3−i3i3i3−i3−i3220000-1-1-1-10000000000-2i3−i3−i3i300110000000
χ2622222-1-222-2222-1-1-12222-100-2-1-1-1-2-211-1-1i3i3−i3−i3-1-1-1-1-2-200000i3−i311111i3i3−i3−i3i3i3−i3−i3-2-20000111100000000002−i3i3i3−i300-1-10000000
χ2722222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-1-2-21111−i3−i3i3i311112200000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i3000000−i3−i3i3i3000000002-20-1-11100i3−i30000000
χ2822222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-1-2-21111−i3−i3i3i311112200000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i3000000i3i3−i3−i300000000-22011-1-100−i3i30000000
χ2922222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-1-2-21111i3i3−i3−i311112200000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i3000000−i3−i3i3i300000000-22011-1-100i3−i30000000
χ3022222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-1-2-21111i3i3−i3−i311112200000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i3000000i3i3−i3−i3000000002-20-1-11100−i3i30000000
χ312222-122222-1-1-1222-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100000002200-1-1-1-1000
χ322222-122222-1-1-1222-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000111111110000000-2-2001111000
χ332222-122222-1-1-1222-1-1-1-1-1-2-22-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-21111-2-22-1-1-1-1111111110022220000-1-1-1-1-1-1-1-10000000-2-2001111000
χ342222-122222-1-1-1222-1-1-1-1-1-2-22-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-21111-2-22-1-1-1-11111111100-2-2-2-200001111111100000002200-1-1-1-1000
χ352222-122-2-22-1-1-12221111-122-2-1-1-1-1-122-2-22222111111-2-1-111-2-2-2-1-111-1-1-1-1111100000000003333−3−3−3−30000000000033−3−3000
χ362222-122-2-22-1-1-12221111-122-2-1-1-1-1-122-2-22222111111-2-1-111-2-2-2-1-111-1-1-1-111110000000000−3−3−3−3333300000000000−3−333000
χ372222-122-2-22-1-1-12221111-1-2-2-2-1-1-1-1-122-2-2-2-2-2-2111111211-1-122-2-1-1111111-1-1-1-100000000003333−3−3−3−300000000000−3−333000
χ382222-122-2-22-1-1-12221111-1-2-2-2-1-1-1-1-122-2-2-2-2-2-2111111211-1-122-2-1-1111111-1-1-1-10000000000−3−3−3−333330000000000033−3−3000
χ3922-2-222-2002-22-22-2-2000022i−2i0-22-22-22-2002i−2i2i−2i00000002i−2i000002-2002i−2i2i−2i000000−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i200000002−2002−22−2000
χ4022-2-222-2002-22-22-2-2000022i−2i0-22-22-22-2002i−2i2i−2i00000002i−2i000002-2002i−2i2i−2i000000i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i20000000−2200−22−22000
χ4122-2-222-2002-22-22-2-200002−2i2i0-22-22-22-200−2i2i−2i2i0000000−2i2i000002-200−2i2i−2i2i000000−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i20000000−2200−22−22000
χ4222-2-222-2002-22-22-2-200002−2i2i0-22-22-22-200−2i2i−2i2i0000000−2i2i000002-200−2i2i−2i2i000000i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i200000002−2002−22−2000
χ4322-2-2-12-20021-112-2-23−33−3-12i−2i01-11-112-2002i−2i2i−2i33−3−33−30−ii−i3i3000-113−3−ii−ii−i3i3−i3i300−i2−i2i2i20000ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000002−200ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000
χ4422-2-2-12-20021-112-2-23−33−3-12i−2i01-11-112-2002i−2i2i−2i33−3−33−30−ii−i3i3000-113−3−ii−ii−i3i3−i3i300i2i2−i2−i20000−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000−2200−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000
χ4522-2-2-12-20021-112-2-23−33−3-1−2i2i01-11-112-200−2i2i−2i2i33−3−33−30i−ii3−i3000-113−3i−ii−ii3−i3i3−i300−i2−i2i2i20000ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000−2200−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000
χ4622-2-2-12-20021-112-2-23−33−3-1−2i2i01-11-112-200−2i2i−2i2i33−3−33−30i−ii3−i3000-113−3i−ii−ii3−i3i3−i300i2i2−i2−i20000−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000002−200ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000
χ4722-2-2-12-20021-112-2-2−33−33-12i−2i01-11-112-2002i−2i2i−2i−3−333−330−iii3−i3000-11−33−ii−iii3−i3i3−i300−i2−i2i2i20000ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700000002−200ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000
χ4822-2-2-12-20021-112-2-2−33−33-12i−2i01-11-112-2002i−2i2i−2i−3−333−330−iii3−i3000-11−33−ii−iii3−i3i3−i300i2i2−i2−i20000−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000−2200−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000
χ4922-2-2-12-20021-112-2-2−33−33-1−2i2i01-11-112-200−2i2i−2i2i−3−333−330i−i−i3i3000-11−33i−ii−i−i3i3−i3i300−i2−i2i2i20000ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000−2200−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000
χ5022-2-2-12-20021-112-2-2−33−33-1−2i2i01-11-112-200−2i2i−2i2i−3−333−330i−i−i3i3000-11−33i−ii−i−i3i3−i3i300i2i2−i2−i20000−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700000002−200ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000
χ512-22-2220-2202-2-2-22-2-2-22220002-2-200002-200002-22-200000000000000000000002i−2i−i2i2−i2i22i−2i2i−2i−i2i2−i2i2−i2i2−i2i20000000000000002−20
χ522-22-2220-2202-2-2-22-2-2-22220002-2-200002-200002-22-200000000000000000000002i−2ii2−i2i2−i22i−2i2i−2ii2−i2i2−i2i2−i2i2−i2000000000000000−220
χ532-22-2220-2202-2-2-22-2-2-22220002-2-200002-200002-22-20000000000000000000000−2i2i−i2i2−i2i2−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2000000000000000−220
χ542-22-2220-2202-2-2-22-2-2-22220002-2-200002-200002-22-20000000000000000000000−2i2ii2−i2i2−i2−2i2i−2i2ii2−i2i2−i2i2−i2i2−i20000000000000002−20
χ554444-24-444-4-2-2-2444-2-2-2-2-200-4-2-2-222-4-4440000-2-2-2-2220000000-4222200000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-2-2-24442222-2004-2-2-222-4-4-4-400002222-2-20000000422-2-200000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-21111-2-24-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-2-222221111-2-2-4222222-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ594444-2-24-4-44-2-2-2-2-2-22222144-4111-2-2-2-222-2-2-2-2-1-1-1-122-4-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-222221-4-4-4111-2-2-2-2222222-1-1-1-122422-2-2-2-2211-1-1-1-1-1-11111000000000000000000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-2-2-2-2-2100-41112222-2-2−2i3−2i32i32i311112200000−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-2-2-2-2-2100-41112222-2-22i32i3−2i3−2i3111122000002i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-222221004111222222−2i3−2i32i32i3-1-1-1-1-2-2000002i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2222210041112222222i32i3−2i3−2i3-1-1-1-1-2-200000−2i32i3-2-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ6544-4-444400-4-44-44-4-400004000-44-4-44-4400000000000000000000-440000000000000000000000000000000000000000000000
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χ6944-4-44-2-4004-44-4-2220000-2−4i4i02-224-4-22002i−2i2i−2i0000000−4i4i00000-22002i−2i2i−2i0000000000000000000000000000000000000000
χ7044-4-4-24400-42-224-4-423−2323−23-20002-222-2-440000002323−23−23−2323000000002-2−232300000000000000000000000000000000000000000000
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χ7244-4-4-2-2400-42-22-22223−2323−231000-11-12-22-20023−23−2323−3−333−232300000000-113−3−333−3-333-3000000000000000000000000000000000000
χ7344-4-4-2-2400-42-22-22223−2323−231000-11-12-22-200−232323−23−3−333−232300000000-113−33−3−333-3-33000000000000000000000000000000000000
χ7444-4-4-2-2400-42-22-222−2323−23231000-11-12-22-20023−23−232333−3−323−2300000000-11−33−333−33-3-33000000000000000000000000000000000000
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χ7744-4-4-2-2-40042-22-22223−2323−231−4i4i0-11-1-22-22002i−2i2i−2i−3−33323−2302i−2i2i3−2i30001-1−33−ii−ii−i3i3−i3i3000000000000000000000000000000000000
χ7844-4-4-2-2-40042-22-222−2323−232314i−4i0-11-1-22-2200−2i2i−2i2i33−3−3−23230−2i2i2i3−2i30001-13−3i−ii−i−i3i3−i3i3000000000000000000000000000000000000
χ7944-4-4-2-2-40042-22-222−2323−23231−4i4i0-11-1-22-22002i−2i2i−2i33−3−3−232302i−2i−2i32i30001-13−3−ii−iii3−i3i3−i3000000000000000000000000000000000000
χ804-44-44404-404-4-4-44-444-4-440004-4-40000-440000-44-440000000000000000000000000000000000000000000000000000000000
χ814-44-44-204-404-4-42-2244-4-4-2000-22200002-200002-22-2000000000000000000000000000023−23−232300000000000000000000000000
χ824-44-44-204-404-4-42-2244-4-4-2000-22200002-200002-22-20000000000000000000000000000−232323−2300000000000000000000000000
χ834-44-44-20-4404-4-42-22-4-444-2000-2220000-220000-22-2200000000000000000000004i−4i0000−2i2i−2i2i00000000000000000000000000
χ844-44-44-20-4404-4-42-22-4-444-2000-2220000-220000-22-220000000000000000000000−4i4i00002i−2i2i−2i00000000000000000000000000
χ854-44-4-2404-40-222-44-4-2-222-2000-2220000-4400002-22-200000000000000000000000000000000i6−i6i6−i6−i6i6−i6i6000000000000000000
χ864-44-4-2404-40-222-44-4-2-222-2000-2220000-4400002-22-200000000000000000000000000000000−i6i6−i6i6i6−i6i6−i6000000000000000000
χ874-44-4-240-440-222-44-422-2-2-2000-22200004-40000-22-22000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000
χ884-44-4-240-440-222-44-422-2-2-2000-22200004-40000-22-220000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000
χ894-4-44440000-4-44-4-4400004000-4-44000000000000000000000000000000000000002-2-2200002-2-222-2-22000000000000000000
χ904-4-44440000-4-44-4-4400004000-4-4400000000000000000000000000000000000000-222-20000-222-2-222-2000000000000000000
χ914-4-44-24000022-2-4-4423−23−2323-200022-20000000000−232323−230000000000000000000000002-2-220000−1+31−31−3−1+3−1−31+31+3−1−3000000000000000000
χ924-4-44-24000022-2-4-4423−23−2323-200022-20000000000−232323−23000000000000000000000000-222-200001−3−1+3−1+31−31+3−1−3−1−31+3000000000000000000
χ934-4-44-24000022-2-4-44−232323−23-200022-2000000000023−23−23230000000000000000000000002-2-220000−1−31+31+3−1−3−1+31−31−3−1+3000000000000000000
χ944-4-44-24000022-2-4-44−232323−23-200022-2000000000023−23−2323000000000000000000000000-222-200001+3−1−3−1−31+31−3−1+3−1+31−3000000000000000000
χ958-88-8-4-408-80-4444-44-4-44420002-2-200004-40000-22-220000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40-880-4444-4444-4-420002-2-20000-4400002-22-20000000000000000000000000000000000000000000000000000000000
χ978-8-888-40000-8-8844-40000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4000044-444-443−43−43432000-2-22000000000023−23−23230000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4000044-444-4−434343−432000-2-220000000000−232323−230000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.