Finite Group Databasebeta

← Group #11793912

Character table — Group #11793912

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424248888242424242424242424446688121212121212242424242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2222i−2i-2-22i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000000000000000000000000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222−2i2i-2-2−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i0000000000000000000000000000000000
χ112222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12200-1-100-1-1000000000000
χ122222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-200110011000000000000
χ132222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-211112222-1-1-1-1-1-1-1-1-2-200110011000000000000
χ142222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-2111111112200-1-100-1-1000000000000
χ152222222-1-2-2-2-22-1-12-121111-122-1-1-1-1-1-2-21111-211-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii00003333−3−3−3−30000−i3i300−i3i3000000000000
χ162222222-1-2-2-2-22-1-12-121111-122-1-1-1-1-1-2-21111-211-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0000−3−3−3−333330000i3−i300i3−i3000000000000
χ172222222-1-2-2-2-22-1-12-121111-122-1-1-1-1-1-2-21111-211-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i00003333−3−3−3−30000i3−i300i3−i3000000000000
χ182222222-1-2-2-2-22-1-12-121111-122-1-1-1-1-1-2-21111-211-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000−3−3−3−333330000−i3i300−i3i3000000000000
χ19222222-122222-122-12-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022002200-1-1-1-1-1-1-1-10000
χ20222222-122222-122-12-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200-2-200111111110000
χ21222222-122222-122-12-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000002200-2-200-1-1-1-111110000
χ22222222-122222-122-12-12222-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000000000-2-20022001111-1-1-1-10000
χ23222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-122-1-1-111-2-2111111-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii0000000000000000000000−i3−i3i3i333−3−30000
χ24222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-122-1-1-111-2-2111111-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii0000000000000000000000i3i3−i3−i3−3−3330000
χ25222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-122-1-1-111-2-2111111-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i0000000000000000000000−i3−i3i3i3−3−3330000
χ26222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-122-1-1-111-2-2111111-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i0000000000000000000000i3i3−i3−i333−3−30000
χ272222-2-2222-2-22222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-22-2-2002200000000000000000000000000002-2002200-2-2000000000000
χ282222-2-2222-2-22222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-22-2-200220000000000000000000000000000-2200-2-20022000000000000
χ292222-2-222-222-222222222222-2-2-2-2222-22-2-222222-2-2-200-2-2000000000000000022-2-222-2-222-2-20000000000000000000000
χ302222-2-222-222-222222222222-2-2-2-2222-22-2-222222-2-2-200-2-20000000000000000-2-222-2-222-2-2220000000000000000000000
χ312222-2-22-12-2-222-1-12-121111-1-2-211-1-1-12-2-1-111-21121100-1-13−33−30033−3−30033−3−3000033−3−3−3−3332-200-1-10011000000000000
χ322222-2-22-12-2-222-1-12-121111-1-2-211-1-1-12-2-1-111-21121100-1-13−33−30033−3−30033−3−30000−3−33333−3−3-22001100-1-1000000000000
χ332222-2-22-12-2-222-1-12-121111-1-2-211-1-1-12-2-1-111-21121100-1-1−33−3300−3−33300−3−333000033−3−3−3−333-22001100-1-1000000000000
χ342222-2-22-12-2-222-1-12-121111-1-2-211-1-1-12-2-1-111-21121100-1-1−33−3300−3−33300−3−3330000−3−33333−3−32-200-1-10011000000000000
χ352222-2-22-1-222-22-1-12-12-1-1-1-1-1-2-211-1-1-1-2211-1-12-1-1-2110011−i3i3i3−i300−i3−i3i3i300i3i3−i3−i322-2-2-1-111-1-1110000−i3i300i3−i3000000000000
χ362222-2-22-1-222-22-1-12-12-1-1-1-1-1-2-211-1-1-1-2211-1-12-1-1-2110011−i3i3i3−i300−i3−i3i3i300i3i3−i3−i3-2-22211-1-111-1-10000i3−i300−i3i3000000000000
χ372222-2-22-1-222-22-1-12-12-1-1-1-1-1-2-211-1-1-1-2211-1-12-1-1-2110011i3−i3−i3i300i3i3−i3−i300−i3−i3i3i322-2-2-1-111-1-1110000i3−i300−i3i3000000000000
χ382222-2-22-1-222-22-1-12-12-1-1-1-1-1-2-211-1-1-1-2211-1-12-1-1-2110011i3−i3−i3i300i3i3−i3−i300−i3−i3i3i3-2-22211-1-111-1-10000−i3i300i3−i3000000000000
χ392-22-22-22222-2-2-2-2-222-222-2-222-22-2-2-222-22-2-2-2222-22-2002-20000000000000000000000000000002i−2i0000002i−2i2i−2i00000000
χ402-22-22-22222-2-2-2-2-222-222-2-222-22-2-2-222-22-2-2-2222-22-2002-2000000000000000000000000000000−2i2i000000−2i2i−2i2i00000000
χ412-22-22-222-2-222-2-2-222-2-2-22222-22-2-2-22-22-2222-2-2-222-200-2200000000000000000000000000000000002-20000002-22-20000
χ422-22-22-222-2-222-2-2-222-2-2-22222-22-2-2-22-22-2222-2-2-222-200-220000000000000000000000000000000000-22000000-22-220000
χ432-22-22-2-1222-2-21-2-2-12122-2-2-1-112-211-1-112-211-1-1-11-1100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000002i−2i000000−ii−ii3−3−330000
χ442-22-22-2-1222-2-21-2-2-12122-2-2-1-112-211-1-112-211-1-1-11-1100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000−2i2i000000i−ii−i−333−30000
χ452-22-22-2-1222-2-21-2-2-12122-2-2-1-112-211-1-112-211-1-1-11-1100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000002i−2i000000−ii−ii−333−30000
χ462-22-22-2-1222-2-21-2-2-12122-2-2-1-112-211-1-112-211-1-1-11-1100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000−2i2i000000i−ii−i3−3−330000
χ472-22-22-2-12-2-2221-2-2-121-2-222-1-112-211-11-1-22-1-1111-1-11001-100003−33−33−3−33−33−330000000000000000002-200−333−3-11-110000
χ482-22-22-2-12-2-2221-2-2-121-2-222-1-112-211-11-1-22-1-1111-1-11001-100003−33−33−3−33−33−33000000000000000000-22003−3−331-11-10000
χ492-22-22-2-12-2-2221-2-2-121-2-222-1-112-211-11-1-22-1-1111-1-11001-10000−33−33−333−33−33−30000000000000000002-2003−3−33-11-110000
χ502-22-22-2-12-2-2221-2-2-121-2-222-1-112-211-11-1-22-1-1111-1-11001-10000−33−33−333−33−33−3000000000000000000-2200−333−31-11-10000
χ512-22-2-22222-22-2-2-2-222-2-2-2222-22-22-2-22222-222-2-2-2-2-22002-20000000000000000000000000000000000000000000000002i−2i
χ522-22-2-22222-22-2-2-2-222-2-2-2222-22-22-2-22222-222-2-2-2-2-22002-2000000000000000000000000000000000000000000000000−2i2i
χ532-22-2-2222-22-22-2-2-222-222-2-22-22-22-2-22-2-2-22-2-22222-2200-2200000000000000000000000000000000000000000000002-200
χ542-22-2-2222-22-22-2-2-222-222-2-22-22-22-2-22-2-2-22-2-22222-2200-220000000000000000000000000000000000000000000000-2200
χ55444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-12114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-1211−4i4i-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ594444-4-4-244-4-44-244-24-2-4-4-4-4-222-4-4-2-2-2-224422222-22200-2-200000000000000000000000000000000000000000000000000
χ604444-4-4-24-444-4-244-24-24444-222-4-4-2-2-22-2-4-4-2-2-2-2-2222002200000000000000000000000000000000000000000000000000
χ614444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-22-2-2-1-12-1-1-2-1-1001123−2323−2300−3−33300−3−3330000000000000000000000000000000000
χ624444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-22-2-2-1-12-1-1-2-1-10011−2323−23230033−3−30033−3−30000000000000000000000000000000000
χ634444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-2122221112-22211-2112-1-100-1-1−2i32i32i3−2i300i3i3−i3−i300−i3−i3i3i30000000000000000000000000000000000
χ644444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-2122221112-22211-2112-1-100-1-12i3−2i3−2i32i300−i3−i3i3i300i3i3−i3−i30000000000000000000000000000000000
χ6544-4-40044000044-4-4-4-40000400004-4-40000000000000000000000000000000000−2i22i200−2i22i200−2i22i20000000000000000000000
χ6644-4-40044000044-4-4-4-40000400004-4-400000000000000000000000000000000002i2−2i2002i2−2i2002i2−2i20000000000000000000000
χ6744-4-4004-200004-22-42-423−2323−23-20000-222000023−23023−230000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ230000000000000000000000
χ6844-4-4004-200004-22-42-423−2323−23-20000-222000023−23023−2300000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ230000000000000000000000
χ6944-4-4004-200004-22-42-4−2323−2323-20000-2220000−23230−23230000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ70000000000000000000000
χ7044-4-4004-200004-22-42-4−2323−2323-20000-2220000−23230−232300000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ70000000000000000000000
χ714-44-44-44-244-4-4-4224-2-4-2-222-24-4-2222-24-4-22224-2-2-4-2200-2200000000000000000000000000000000000000000000000000
χ724-44-44-44-2-4-444-4224-2-422-2-2-24-4-2222-2-442-2-2-2-4224-22002-200000000000000000000000000000000000000000000000000
χ734-44-44-4-2-244-4-4222-2-22-2-2221-22-22-1-11-22-22-1-1-21121-1001-10000−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ744-44-44-4-2-244-4-4222-2-22-2-2221-22-22-1-11-22-22-1-1-21121-1001-100002i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ754-44-44-4-2-2-4-444222-2-2222-2-21-22-22-1-112-22-2112-1-1-21-100-11000023−23−33−33−23233−33−30000000000000000000000000000000000
χ764-44-44-4-2-2-4-444222-2-2222-2-21-22-22-1-112-22-2112-1-1-21-100-110000−23233−33−323−23−33−330000000000000000000000000000000000
χ774-44-4-444-24-44-4-4224-2-422-2-2-2-442-222-244-22-2-2-422-42-200-2200000000000000000000000000000000000000000000000000
χ784-44-4-444-2-44-44-4224-2-4-2-222-2-442-222-2-4-42-2224-2-242-2002-200000000000000000000000000000000000000000000000000
χ794-44-4-44-244-44-42-4-4-242-4-444-22-2-4422-2-2-24-4-2-222222-200-2200000000000000000000000000000000000000000000000000
χ804-44-4-44-24-44-442-4-4-24244-4-4-22-2-4422-222-4422-2-2-2-22-2002-200000000000000000000000000000000000000000000000000
χ814-44-4-44-2-24-44-4222-2-2222-2-212-22-2-1-11-2-2-22112-1-12-11001-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ824-44-4-44-2-24-44-4222-2-2222-2-212-22-2-1-11-2-2-22112-1-12-11001-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ834-44-4-44-2-2-44-44222-2-22-2-22212-22-2-1-11222-2-1-1-211-2-1100-110000003-3-3300-333-30000000000000000000000000000000000
χ844-44-4-44-2-2-44-44222-2-22-2-22212-22-2-1-11222-2-1-1-211-2-1100-11000000-333-3003-3-330000000000000000000000000000000000
χ854-4-4400440000-4-44-4-44000040000-44-40000000000000000000000000000000022−220022−220022−22000000000000000000000000
χ864-4-4400440000-4-44-4-44000040000-44-400000000000000000000000000000000−222200−222200−2222000000000000000000000000
χ874-4-44004-20000-42-2-42423−23−2323-200002-220000−2323023−230000000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000
χ884-4-44004-20000-42-2-42423−23−2323-200002-220000−2323023−2300000000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000
χ894-4-44004-20000-42-2-424−232323−23-200002-22000023−230−23230000000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000
χ904-4-44004-20000-42-2-424−232323−23-200002-22000023−230−232300000000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000
χ9188-8-800-480000-48-84-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-4444443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-4-44444−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-884-8-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-444-443−43−434320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-444-4−434343−4320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000

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