Finite Group Databasebeta

← Group #11780248

Character table — Group #11780248

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222222244444444444444444444444888888888888888888881212121212121212121212121212121212122424242424242424242424242424247272144
order12223344446666661212121234446661212121212121212121212121212121226666666612121212121212121212124488881212121224242424242424244448812121212121224242424884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1
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
χ5111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1
χ6111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-11
χ7111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-1-11
χ8111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1
χ92222222-22-22222222222200-2222-2-2220000-2-22222-2-200000000000-2-2-2-2-20000220000222200000000-20000-2-200000000000
χ102222222-22-22222222222200-2222-2-2220000-2-22222-2-200000000000-2-2-2-2-20000-2-20000-2-2-2-200000000200002200000000000
χ11222222-22-22222222-2-2-2-2222-222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-222-2-22222000000000000000000000000000000000000
χ12222222-22-22222222-2-2-2-22-2-2-222222-2-2-2-2-2-222-2-2-2-2-2-2222222222-2-2-222-2-2-2-2-2-2000000000000000000000000000000000000
χ13222222-2-2-2-2222222-2-2-2-22002222-2-2-2-20000-2-2-2-2-2-222000000000002-2-222000000000000000000000002-2000022-2-20000000
χ14222222-2-2-2-2222222-2-2-2-22002222-2-2-2-20000-2-2-2-2-2-222000000000002-2-22200000000000000000000000-220000-2-2220000000
χ1522222-12222222-1-1-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1220000-1-1-1-10000000022200-1-1-1-1-1-10000000
χ1622222-12222222-1-1-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-20000111100000000-2-2-2001111110000000
χ1722222-12222222-1-1-12222-1-2-22-1-1-122-1-11111-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-11111220000-1-1-1-1000000002-2-200-1-111110000000
χ1822222-12222222-1-1-12222-1-2-22-1-1-122-1-11111-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-11111-2-20000111100000000-2220011-1-1-1-10000000
χ1922222-12-22-2222-1-1-12222-100-2-1-1-1-2-2-1-1−i3−i3i3i311-1-1-1-1-2-2000−i3i3−i3−i3i3i30011111−i3−i3i3i3220000-1-1-1-100000000-2000011−i3i3−i3i30000000
χ2022222-12-22-2222-1-1-12222-100-2-1-1-1-2-2-1-1−i3−i3i3i311-1-1-1-1-2-2000−i3i3−i3−i3i3i30011111−i3−i3i3i3-2-2000011110000000020000-1-1i3−i3i3−i30000000
χ2122222-12-22-2222-1-1-12222-100-2-1-1-1-2-2-1-1i3i3−i3−i311-1-1-1-1-2-2000i3−i3i3i3−i3−i30011111i3i3−i3−i3220000-1-1-1-100000000-2000011i3−i3i3−i30000000
χ2222222-12-22-2222-1-1-12222-100-2-1-1-1-2-2-1-1i3i3−i3−i311-1-1-1-1-2-2000i3−i3i3i3−i3−i30011111i3i3−i3−i3-2-2000011110000000020000-1-1−i3i3−i3i30000000
χ2322222-1-22-22222-1-1-1-2-2-2-2-122-2-1-1-12211-1-1-1-1-1-11111-2-2-2-2-2111111221-1-111-1-1-1-1000000−i3−i3i3i30000000000000−i3i3−i3i3i3−i30000000
χ2422222-1-22-22222-1-1-1-2-2-2-2-122-2-1-1-12211-1-1-1-1-1-11111-2-2-2-2-2111111221-1-111-1-1-1-1000000i3i3−i3−i30000000000000i3−i3i3−i3−i3i30000000
χ2522222-1-22-22222-1-1-1-2-2-2-2-1-2-2-2-1-1-122111111-1-11111-2-2222-1-1-1-1-1-1-2-21-1-1111111000000−i3−i3i3i30000000000000−i3i3i3−i3−i3i30000000
χ2622222-1-22-22222-1-1-1-2-2-2-2-1-2-2-2-1-1-122111111-1-11111-2-2222-1-1-1-1-1-1-2-21-1-1111111000000i3i3−i3−i30000000000000i3−i3−i3i3i3−i30000000
χ2722222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-1-2-211−i3−i3i3i311111122000i3−i3i3i3−i3−i300-111-1-1−i3−i3i3i3000000−i3−i3i3i30000000002-200i3−i3-1-1110000000
χ2822222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-1-2-211−i3−i3i3i311111122000i3−i3i3i3−i3−i300-111-1-1−i3−i3i3i3000000i3i3−i3−i3000000000-2200−i3i311-1-10000000
χ2922222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-1-2-211i3i3−i3−i311111122000−i3i3−i3−i3i3i300-111-1-1i3i3−i3−i3000000−i3−i3i3i3000000000-2200i3−i311-1-10000000
χ3022222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-1-2-211i3i3−i3−i311111122000−i3i3−i3−i3i3i300-111-1-1i3i3−i3−i3000000i3i3−i3−i30000000002-200−i3i3-1-1110000000
χ312222-122222-1-1-1222-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100022000000-1-1-1-1000
χ322222-122222-1-1-1222-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-100-2-2-2-2000011111111000-2-20000001111000
χ332222-122222-1-1-1222-1-1-1-1-1-2-22-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-211-2-21111112-1-1-1-111110022220000-1-1-1-1-1-1-1-1000-2-20000001111000
χ342222-122222-1-1-1222-1-1-1-1-1-2-22-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-211-2-21111112-1-1-1-1111100-2-2-2-200001111111100022000000-1-1-1-1000
χ352222-12-22-22-1-1-12221111-122-2-1-1-1-1-1-2-2222222111111-211-2-21111-1-1-2-1-111-1-1-1-100000000003333−3−3−3−30000000000033−3−3000
χ362222-12-22-22-1-1-12221111-122-2-1-1-1-1-1-2-2222222111111-211-2-21111-1-1-2-1-111-1-1-1-10000000000−3−3−3−3333300000000000−3−333000
χ372222-12-22-22-1-1-12221111-1-2-2-2-1-1-1-1-1-2-2-2-2-2-2221111112-1-122-1-1-1-111-2-1-111111100000000003333−3−3−3−300000000000−3−333000
χ382222-12-22-22-1-1-12221111-1-2-2-2-1-1-1-1-1-2-2-2-2-2-2221111112-1-122-1-1-1-111-2-1-11111110000000000−3−3−3−333330000000000033−3−3000
χ392-22-222-2020-2-22-22-2-2-2222000-2-22002-200000022-2-200000000000000000000002i−2i22−2−22i−2i2i−2i22−2−222−2−2000000000000000−i2i20
χ402-22-222-2020-2-22-22-2-2-2222000-2-22002-200000022-2-200000000000000000000002i−2i−2−2222i−2i2i−2i−2−222−2−222000000000000000i2−i20
χ412-22-222-2020-2-22-22-2-2-2222000-2-22002-200000022-2-20000000000000000000000−2i2i22−2−2−2i2i−2i2i22−2−222−2−2000000000000000i2−i20
χ422-22-222-2020-2-22-22-2-2-2222000-2-22002-200000022-2-20000000000000000000000−2i2i−2−222−2i2i−2i2i−2−222−2−222000000000000000−i2i20
χ432-2-2222020-22-2-2-2-22000022i−2i02-2-22-2002i−2i2i−2i2-20000000000000002i−2i02-2002i−2i2i−2i002−22−200002−22−22−22−2000−i2i2000000−i2i2−i2i2000
χ442-2-2222020-22-2-2-2-22000022i−2i02-2-22-2002i−2i2i−2i2-20000000000000002i−2i02-2002i−2i2i−2i00−22−220000−22−22−22−22000i2−i2000000i2−i2i2−i2000
χ452-2-2222020-22-2-2-2-2200002−2i2i02-2-22-200−2i2i−2i2i2-2000000000000000−2i2i02-200−2i2i−2i2i002−22−200002−22−22−22−2000i2−i2000000i2−i2i2−i2000
χ462-2-2222020-22-2-2-2-2200002−2i2i02-2-22-200−2i2i−2i2i2-2000000000000000−2i2i02-200−2i2i−2i2i00−22−220000−22−22−22−22000−i2i2000000−i2i2−i2i2000
χ472-2-22-12020-2-111-2-223−33−3-12i−2i0-111-11002i−2i2i−2i2-23−33−33−30−i3i300−i3i3−i3i3−ii0-113−3−ii−ii002−22−20000ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000−i2i2000000ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000
χ482-2-22-12020-2-111-2-223−33−3-12i−2i0-111-11002i−2i2i−2i2-23−33−33−30−i3i300−i3i3−i3i3−ii0-113−3−ii−ii00−22−220000−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000i2−i2000000−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000
χ492-2-22-12020-2-111-2-223−33−3-1−2i2i0-111-1100−2i2i−2i2i2-23−33−33−30i3−i300i3−i3i3−i3i−i0-113−3i−ii−i002−22−20000ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000i2−i2000000−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000
χ502-2-22-12020-2-111-2-223−33−3-1−2i2i0-111-1100−2i2i−2i2i2-23−33−33−30i3−i300i3−i3i3−i3i−i0-113−3i−ii−i00−22−220000−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000−i2i2000000ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000
χ512-2-22-12020-2-111-2-22−33−33-12i−2i0-111-11002i−2i2i−2i2-2−33−33−330i3−i300i3−i3i3−i3−ii0-11−33−ii−ii002−22−20000ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000−i2i2000000ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000
χ522-2-22-12020-2-111-2-22−33−33-12i−2i0-111-11002i−2i2i−2i2-2−33−33−330i3−i300i3−i3i3−i3−ii0-11−33−ii−ii00−22−220000−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000i2−i2000000−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000
χ532-2-22-12020-2-111-2-22−33−33-1−2i2i0-111-1100−2i2i−2i2i2-2−33−33−330−i3i300−i3i3−i3i3i−i0-11−33i−ii−i002−22−20000ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000i2−i2000000−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000
χ542-2-22-12020-2-111-2-22−33−33-1−2i2i0-111-1100−2i2i−2i2i2-2−33−33−330−i3i300−i3i3−i3i3i−i0-11−33i−ii−i00−22−220000−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000−i2i2000000ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000
χ554444-244-44-4-2-2-2444-2-2-2-2-200-4-2-2-222440000-4-4-2-2-2-22200000000000-422220000000000000000000000000000000000000000
χ564444-24-4-4-4-4-2-2-24442222-2004-2-2-222-4-40000-4-42222-2-200000000000422-2-20000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-21111-2-24-2-2-2-21111-2-2-211111111000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-22222-2-21111-2-2-42222-1-1-1-122-21111-1-1-1-1000000000000000000000000000000000000
χ594444-2-24-44-4-2-2-2-2-2-2-2-2-2-2100-411122-2-2−2i3−2i32i32i322111122000−2i32i3i3i3−i3−i3002-1-1-1-1i3i3−i3−i3000000000000000000000000000000000000
χ604444-2-24-44-4-2-2-2-2-2-2-2-2-2-2100-411122-2-22i32i3−2i3−2i3221111220002i3−2i3−i3−i3i3i3002-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000
χ614444-2-2-44-44-2-2-2-2-2-22222144-4111-2-222-2-2-2-2-2-2-1-1-1-122-42222-1-1-1-1-2-2211-1-11111000000000000000000000000000000000000
χ624444-2-2-44-44-2-2-2-2-2-222221-4-4-4111-2-2222222-2-2-1-1-1-1224-2-2-2-2111122211-1-1-1-1-1-1000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2222210041112222−2i3−2i32i32i322-1-1-1-1-2-20002i3−2i3−i3−i3i3i300-2-1-111i3i3−i3−i3000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-22222100411122222i32i3−2i3−2i322-1-1-1-1-2-2000−2i32i3i3i3−i3−i300-2-1-111−i3−i3i3i3000000000000000000000000000000000000
χ6544-4-4440000-44-44-4-400004000-44-4000000000000000000000000000000000000002-2-2200002-2-222-2-22000000000000000000
χ6644-4-4440000-44-44-4-400004000-44-400000000000000000000000000000000000000-222-20000-222-2-222-2000000000000000000
χ6744-4-4-2400002-224-4-423−23−2323-20002-220000000000−232323−230000000000000000000000002-2-220000−1−31+31+3−1−3−1+31−31−3−1+3000000000000000000
χ6844-4-4-2400002-224-4-423−23−2323-20002-220000000000−232323−23000000000000000000000000-222-200001+3−1−3−1−31+31−3−1+3−1+31−3000000000000000000
χ6944-4-4-2400002-224-4-4−232323−23-20002-22000000000023−23−23230000000000000000000000002-2-220000−1+31−31−3−1+3−1−31+31+3−1−3000000000000000000
χ7044-4-4-2400002-224-4-4−232323−23-20002-22000000000023−23−2323000000000000000000000000-222-200001−3−1+3−1+31−31+3−1−3−1−31+3000000000000000000
χ714-44-44440-40-4-44-44-444-4-44000-4-4400-44000000-4-4440000000000000000000000000000000000000000000000000000000000
χ724-44-44-240-40-4-442-2244-4-4-200022-2002-200000022-2-2000000000000000000000000000023−23−232300000000000000000000000000
χ734-44-44-240-40-4-442-2244-4-4-200022-2002-200000022-2-20000000000000000000000000000−232323−2300000000000000000000000000
χ744-44-44-2-4040-4-442-22-4-444-200022-200-22000000-2-22200000000000000000000004i−4i0000−2i2i−2i2i00000000000000000000000000
χ754-44-44-2-4040-4-442-22-4-444-200022-200-22000000-2-2220000000000000000000000−4i4i00002i−2i2i−2i00000000000000000000000000
χ764-44-4-2440-4022-2-44-4-2-222-200022-200-4400000022-2-20000000000000000000000000000000066−6−6−6−666000000000000000000
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χ784-44-4-24-404022-2-44-422-2-2-200022-2004-4000000-2-2220000000000000000000000002222−22−220000−2−222−2−222000000000000000000
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χ824-4-444-2040-44-4-422-20000-2−4i4i0-2224-4002i−2i2i−2i-22000000000000000−4i4i0-22002i−2i2i−2i000000000000000000000000000000000000
χ834-4-444-20-4044-4-422-20000-2000-222-440023−23−23232-20000000000000000002-20023−23−2323000000000000000000000000000000000000
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χ854-4-44-240-404-222-4-4423−2323−23-2000-2222-2000000-4423−2323−23−23230000000000002-2−23230000000000000000000000000000000000000000
χ864-4-44-240-404-222-4-44−2323−2323-2000-2222-2000000-44−2323−232323−230000000000002-223−230000000000000000000000000000000000000000
χ874-4-44-2-2040-4-22222-223−2323−2314i−4i01-1-1-2200−2i2i−2i2i-22−33−3323−230−2i32i300i3−i3i3−i3−2i2i01-1−33i−ii−i000000000000000000000000000000000000
χ884-4-44-2-2040-4-22222-223−2323−231−4i4i01-1-1-22002i−2i2i−2i-22−33−3323−2302i3−2i300−i3i3−i3i32i−2i01-1−33−ii−ii000000000000000000000000000000000000
χ894-4-44-2-2040-4-22222-2−2323−232314i−4i01-1-1-2200−2i2i−2i2i-223−33−3−232302i3−2i300−i3i3−i3i3−2i2i01-13−3i−ii−i000000000000000000000000000000000000
χ904-4-44-2-2040-4-22222-2−2323−23231−4i4i01-1-1-22002i−2i2i−2i-223−33−3−23230−2i32i300i3−i3i3−i32i−2i01-13−3−ii−ii000000000000000000000000000000000000
χ914-4-44-2-20-404-22222-223−2323−2310001-1-12-20023−23−23232-2−33−33−232300000-333-3000-113−3−333−3000000000000000000000000000000000000
χ924-4-44-2-20-404-22222-223−2323−2310001-1-12-200−232323−232-2−33−33−2323000003-3-33000-113−33−3−33000000000000000000000000000000000000
χ934-4-44-2-20-404-22222-2−2323−232310001-1-12-20023−23−23232-23−33−323−23000003-3-33000-11−33−333−3000000000000000000000000000000000000
χ944-4-44-2-20-404-22222-2−2323−232310001-1-12-200−232323−232-23−33−323−2300000-333-3000-11−333−3−33000000000000000000000000000000000000
χ9588-8-88-40000-88-8-4440000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400004-44-44443−43−43432000-22-2000000000023−23−23230000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-400004-44-444−434343−432000-22-20000000000−232323−230000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-480-8044-44-44-4-4442000-2-22004-4000000-2-2220000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-808044-44-4444-4-42000-2-2200-4400000022-2-20000000000000000000000000000000000000000000000000000000000

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