Finite Group Databasebeta

← Group #11867786

Character table — Group #11867786

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444444444444444444444444444444444444444444444441818181824242424242424243636363636364848484848484848
order1222334466666688882346666666666688121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424224424444444248888612121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-11-1-1-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11-1-1-111-1-111-1-11-11-1
χ6111111111111111111-11-1-1-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-11-1-111-1-1-1-111-11-11
χ7111111111111111111-11-1-1-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-11111-1-1-11-11
χ8111111111111111111-11-1-1-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-1111-11-1
χ911111111111111-1-1-1-111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-111-1-1-1-11-11-1-111-1
χ1011111111111111-1-1-1-111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1111-1-1-1-1-11-111-1-11
χ1111111111111111-1-1-1-111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-111111-11-11-1-11
χ1211111111111111-1-1-1-111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-11111-11-11-111-1
χ1311111111111111-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1111-1-1-1-1111-1-11-1-111
χ1411111111111111-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11111-1-1-1-1-1-1-111-111-111-1-1
χ1511111111111111-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1111-1-11111-1-11-1-1111-1-1
χ1611111111111111-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1111111-1-1-111-1-1-111
χ17222222-2-2222222000022-22222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-200000000-22000000000000
χ18222222-2-2222222000022-22222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222000000002-2000000000000
χ19222222-2-22222220000-222-2-2-2-222-2-2-2-2200-222-222-2-22222-2-2-2-20000000000000000000000000000000022-2-2000000002-2000000000000
χ20222222-2-22222220000-222-2-2-2-222-2-2-2-2200-222-222-2-22222-2-2-2-200000000000000000000000000000000-2-22200000000-22000000000000
χ2122222-1222-1-1-12222222-1222-1-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022200200000000-1-1-1-10000
χ2222222-1222-1-1-12222222-1222-1-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-200-20000000011110000
χ2322222-1222-1-1-1222222-2-1-2-2-211-1-11111-1-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000022-200-200000000-1-1110000
χ2422222-1222-1-1-1222222-2-1-2-2-211-1-11111-1-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-220020000000011-1-10000
χ2522222-1222-1-1-122-2-2-2-22-1222-1-1-1-1-1-1-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111100002-2200-200000000-11-110000
χ2622222-1222-1-1-122-2-2-2-22-1222-1-1-1-1-1-1-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-22-2002000000001-11-10000
χ2722222-1222-1-1-122-2-2-2-2-2-1-2-2-211-1-11111-122-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002-2-200200000000-111-10000
χ2822222-1222-1-1-122-2-2-2-2-2-1-2-2-211-1-11111-122-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-22200-2000000001-1-110000
χ292222-1222-1222-1-122222-12-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000220220000000000-1-1-1-1
χ302222-1222-1222-1-122222-12-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000-2-20-2-200000000001111
χ312222-1222-1222-1-12222-2-1-211-2-2-1-11111-1-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000002-202-20000000000-11-11
χ322222-1222-1222-1-12222-2-1-211-2-2-1-11111-1-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000-220-2200000000001-11-1
χ332222-1222-1222-1-1-2-2-2-22-12-1-122-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000002-20-220000000000-111-1
χ342222-1222-1222-1-1-2-2-2-22-12-1-122-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000-2202-200000000001-1-11
χ352222-1222-1222-1-1-2-2-2-2-2-1-211-2-2-1-11111-1222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000220-2-20000000000-1-111
χ362222-1222-1222-1-1-2-2-2-2-2-1-211-2-2-1-11111-1222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000-2-2022000000000011-1-1
χ372-2-22222-2-2-2-22-222i2i−2i−2i0200000-2-20000200200200220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000002-22-200000000002i−2i0000000000
χ382-2-22222-2-2-2-22-222i2i−2i−2i0200000-2-20000200200200220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000-22-220000000000−2i2i0000000000
χ392-2-22222-2-2-2-22-22−2i−2i2i2i0200000-2-20000200200200220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000002-22-20000000000−2i2i0000000000
χ402-2-22222-2-2-2-22-22−2i−2i2i2i0200000-2-20000200200200220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000-22-2200000000002i−2i0000000000
χ412-2-2222-22-2-2-22-2200000200000-2-2000022-2-200-200-2-200002222000000000000000022-2-222-2-22222-2-2-2-22-2-220000000000002-200000000
χ422-2-2222-22-2-2-22-2200000200000-2-2000022-2-200-200-2-200002222000000000000000022-2-222-2-22222-2-2-2-2-222-2000000000000-2200000000
χ432-2-2222-22-2-2-22-2200000200000-2-200002-22-200-200-2-2000022220000000000000000-2-222-2-222-2-2-2-222222-2-22000000000000-2200000000
χ442-2-2222-22-2-2-22-2200000200000-2-200002-22-200-200-2-2000022220000000000000000-2-222-2-222-2-2-2-22222-222-20000000000002-200000000
χ4544444-2-4-44-2-2-24400004-2-444-2-2-2-2-2-2-2-2-200222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000
χ4644444-2-4-44-2-2-2440000-4-24-4-422-2-22222-2002-2-2-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000
χ474444-24-4-4-2444-2-200004-2-4-2-244-2-2-2-2-2-2-200-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000
χ484444-24-4-4-2444-2-20000-4-2422-4-4-2-22222-200-4442-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24444414-2-2-2-2111111144-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ504444-2-244-2-2-2-2-2-24444-41-4222211-1-1-1-11-4-4-222-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4-4-4414-2-2-2-21111111-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-4-4-4-41-4222211-1-1-1-1144-222-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2000041-4-2-2-2-2111111100222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2000041-4-2-2-2-2111111100222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20000-414222211-1-1-1-11002-2-22-2-2-1-1111122-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20000-414222211-1-1-1-11002-2-22-2-2-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ5744-4-4440044-4-4-4-422−2222−2204000004-40000-400000000000000000022−2222−2222−2222−2222−2222−2222−2222−22000000000000000000000000000000000000000000
χ5844-4-4440044-4-4-4-4−2222−222204000004-40000-4000000000000000000−2222−2222−2222−2222−2222−2222−2222−2222000000000000000000000000000000000000000000
χ5944-4-44-2004-222-4-422−2222−220-200000-220000200023−23000002323−23−23000022−2222−22−22−22−22−22−22−2200006−66−66−66−66−66−600000000000000000000000000
χ6044-4-44-2004-222-4-422−2222−220-200000-2200002000−232300000−23−232323000022−2222−22−22−22−22−22−22−220000−66−66−66−66−66−6600000000000000000000000000
χ6144-4-44-2004-222-4-4−2222−22220-200000-220000200023−23000002323−23−230000−2222−22222−22−22−22−22−22−20000−66−66−66−66−66−6600000000000000000000000000
χ6244-4-44-2004-222-4-4−2222−22220-200000-2200002000−232300000−23−2323230000−2222−22222−22−22−22−22−22−200006−66−66−66−66−66−600000000000000000000000000
χ6344-4-4-2400-24-4-42222−2222−220-20−2i32i300-22−2i3−2i32i32i32000000000000000000−22−2222−2222−22−22−22−22−22i6−i6i6−i60000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ6444-4-4-2400-24-4-42222−2222−220-202i3−2i300-222i32i3−2i3−2i32000000000000000000−22−2222−2222−22−22−22−22−22−i6i6−i6i60000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ6544-4-4-2400-24-4-422−2222−22220-20−2i32i300-22−2i3−2i32i32i320000000000000000002−22−2−2222−22222−22−22−22−2−i6i6−i6i60000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ6644-4-4-2400-24-4-422−2222−22220-202i3−2i300-222i32i3−2i3−2i320000000000000000002−22−2−2222−22222−22−22−22−2i6−i6i6−i60000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ6744-4-4-2-200-2-2222222−2222−22010−2i32i3001-1i3i3−i3−i3-100023−230003i−3i−3−333003i−3i−22−22−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23i6−i6i6−i66−66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000
χ6844-4-4-2-200-2-2222222−2222−22010−2i32i3001-1i3i3−i3−i3-1000−2323000−3i3i33−3−300−3i3i−22−22−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23i6−i6i6−i6−66−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000
χ6944-4-4-2-200-2-2222222−2222−220102i3−2i3001-1−i3−i3i3i3-100023−23000−3i3i−3−33300−3i3i−22−22−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−i6i6−i6i66−66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000
χ7044-4-4-2-200-2-2222222−2222−220102i3−2i3001-1−i3−i3i3i3-1000−23230003i−3i33−3−3003i−3i−22−22−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−i6i6−i6i6−66−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000
χ7144-4-4-2-200-2-22222−2222−2222010−2i32i3001-1i3i3−i3−i3-100023−230003i−3i−3−333003i−3i2−22−22−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−i6i6−i6i6−66−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.