Finite Group Databasebeta

← Group #11887406

Character table — Group #11887406

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order12222233446666663444666666666661212121212121212444441212121212121212121212121212121212121212248888121212128888244466612121224242424228812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ5111111111111111111-1-11111111111111-1-1-1-1111111-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-11-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111111-1-1-1-1111111-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111111-1-1-1-111-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-111111111-1-1-1-11
χ8111111111111111111-1-11111111111111-1-1-1-111-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-11111-1
χ91111-1-111111111111-111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-111-111
χ101111-1-111111111111-111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1-11111-1-11111-111-11-1-1-111-1-11111-1-11-1-1
χ111111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-1-1-11111111-1-11-1111-1-111-1-111-1-1-11-1
χ121111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11-11-1-1111-1-1-1-111-1-1111-11
χ131111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11-111-1-1-11111-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-11-11-1111-1-1-111-1-111111-1-1
χ141111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11-111-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-111111-1-11111-1-1-1-1-111-1-1-1-1-111
χ151111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1111-111-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-1111111-111-1-1-1-111111-1-1-1-1-1-11-11
χ161111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1111-111-1-1-11111-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-1-11-11-1-1-1111-1-1111111-11-1
χ1722222222-2-22222222-20022222222222-2-20000-2-222220-200-20000-2-2-2-200000000-2-20000222200000000-200-20000000000000
χ1822222222-2-22222222-20022222222222-2-20000-2-2-2-2-2-20-200-20000-2-2-2-200000000220000-2-2-2-20000000020020000000000000
χ192222222-1222-1-12-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100002200-1-1-1-1-1-100000000000
χ202222222-1222-1-12-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011110000-2-20011111100000000000
χ212222222-1222-1-12-12-12-2-222-1-1-1-1-1-1-1-1-1-1-11111222222-2-1112-2-2-2-2-1-1-1-111111111220000-1-1-1-10000-2-200-111-11100000000000
χ222222222-1222-1-12-12-12-2-222-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2-2-1112-2-2-2-2-1-1-1-111111111-2-200001111000022001-1-11-1-100000000000
χ232222222-1-2-22-1-12-12-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2222201−i3i3-200001111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-1000000001−i3i31−i3i300000000000
χ242222222-1-2-22-1-12-12-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-2-2-201−i3i3-200001111−i3−i3i3i3−i3−i3i3i3220000111100000000-1i3−i3-1i3−i300000000000
χ252222222-1-2-22-1-12-12-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2222201i3−i3-200001111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-1000000001i3−i31i3−i300000000000
χ262222222-1-2-22-1-12-12-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-2-2-201i3−i3-200001111i3i3−i3−i3i3i3−i3−i3220000111100000000-1−i3i3-1−i3i300000000000
χ27222222-1222-122-12-1-1222-1-122-1-1-1-1-1-1-1222222-1-100002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000000022000000-1-1-1-10000-1-10
χ28222222-1222-122-12-1-1222-1-122-1-1-1-1-1-1-1222222-1-100002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-200000011110000110
χ29222222-1222-122-12-1-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-10000-22-2-2-11111-1-1-1-1111111110022220000000000-2-2000000-1-1-1-10000110
χ30222222-1222-122-12-1-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-10000-22-2-2-11111-1-1-1-11111111100-2-2-2-200000000002200000011110000-1-10
χ312222-2-222-2-22222222200-2-2-2-22-2-2-2-222-2-20000-2-222-2-2020020000-2-22200000000-22000022-2-200000000-20020000000000000
χ322222-2-222-2-22222222200-2-2-2-22-2-2-2-222-2-20000-2-2-2-222020020000-2-222000000002-20000-2-22200000000200-20000000000000
χ332222-2-22-1222-1-12-12-1-222-2-211-11111-1-1-1-1-1-1-1-12222-2-2-2111-222-2-2-1-111-1-1-1-111112-20000-1-1110000-2200-1111-1-100000000000
χ342222-2-22-1222-1-12-12-1-222-2-211-11111-1-1-1-1-1-1-1-122-2-222-2111-222-2-2-1-111-1-1-1-11111-22000011-1-100002-2001-1-1-11100000000000
χ352222-2-22-1222-1-12-12-1-2-2-2-2-211-11111-1-1-1-111112222-2-221-1-1-2-2-222-1-1111111-1-1-1-12-20000-1-11100002-200-1-1-111100000000000
χ362222-2-22-1222-1-12-12-1-2-2-2-2-211-11111-1-1-1-1111122-2-22221-1-1-2-2-222-1-1111111-1-1-1-1-22000011-1-10000-2200111-1-1-100000000000
χ372222-2-22-1-2-22-1-12-12-1200-2-211-11111-1-111−i3−i3i3i3-2-222-2-20-1i3−i32000011-1-1−i3−i3i3i3i3i3−i3−i3-220000-1-111000000001i3−i3-1−i3i300000000000
χ382222-2-22-1-2-22-1-12-12-1200-2-211-11111-1-111−i3−i3i3i3-2-2-2-2220-1i3−i32000011-1-1−i3−i3i3i3i3i3−i3−i32-2000011-1-100000000-1−i3i31i3−i300000000000
χ392222-2-22-1-2-22-1-12-12-1200-2-211-11111-1-111i3i3−i3−i3-2-222-2-20-1−i3i32000011-1-1i3i3−i3−i3−i3−i3i3i3-220000-1-111000000001−i3i3-1i3−i300000000000
χ402222-2-22-1-2-22-1-12-12-1200-2-211-11111-1-111i3i3−i3−i3-2-2-2-2220-1−i3i32000011-1-1i3i3−i3−i3−i3−i3i3i32-2000011-1-100000000-1i3−i31−i3i300000000000
χ412222-2-2-1222-122-12-1-1-22211-2-2-11111-1-1222222-1-10000-2-2-2-21-1-111-1-111-1-1-1-111110022-2-20000000000-22000000-1-11100001-10
χ422222-2-2-1222-122-12-1-1-22211-2-2-11111-1-1222222-1-10000-2-2-2-21-1-111-1-111-1-1-1-1111100-2-22200000000002-200000011-1-10000-110
χ432222-2-2-1222-122-12-1-1-2-2-211-2-2-11111-1-122-2-2-2-2-1-100002-222111-1-1-1-1111111-1-1-1-10022-2-200000000002-2000000-1-1110000-110
χ442222-2-2-1222-122-12-1-1-2-2-211-2-2-11111-1-122-2-2-2-2-1-100002-222111-1-1-1-1111111-1-1-1-100-2-2220000000000-2200000011-1-100001-10
χ4522-2-22-222002-2-2-22-220002-22-2222-2-2-2-2000000002i−2i2i−2i000000000000000000000002−22−22i−2i2i−2i−i2−i2i2i200000000002−22−200−i2i2000
χ4622-2-22-222002-2-2-22-220002-22-2222-2-2-2-2000000002i−2i2i−2i00000000000000000000000−22−222i−2i2i−2ii2i2−i2−i20000000000−22−2200i2−i2000
χ4722-2-22-222002-2-2-22-220002-22-2222-2-2-2-200000000−2i2i−2i2i000000000000000000000002−22−2−2i2i−2i2ii2i2−i2−i200000000002−22−200i2−i2000
χ4822-2-22-222002-2-2-22-220002-22-2222-2-2-2-200000000−2i2i−2i2i00000000000000000000000−22−22−2i2i−2i2i−i2−i2i2i20000000000−22−2200−i2i2000
χ4922-2-2-2222002-2-2-22-22000-22-222-2-222-2-2000000002i−2i−2i2i000000000000000000000002−2−222i−2i−2i2ii2i2−i2−i200000000002−2−2200−i2i2000
χ5022-2-2-2222002-2-2-22-22000-22-222-2-222-2-2000000002i−2i−2i2i00000000000000000000000−222−22i−2i−2i2i−i2−i2i2i20000000000−222−200i2−i2000
χ5122-2-2-2222002-2-2-22-22000-22-222-2-222-2-200000000−2i2i2i−2i000000000000000000000002−2−22−2i2i2i−2i−i2−i2i2i200000000002−2−2200i2−i2000
χ5222-2-2-2222002-2-2-22-22000-22-222-2-222-2-200000000−2i2i2i−2i00000000000000000000000−222−2−2i2i2i−2ii2i2−i2−i20000000000−222−200−i2i2000
χ532-22-200222-2-22-22-2-2202i−2i0000-200002-22-22i−2i2i−2i2-20000000002i−2i002-2002i−2i2i−2i000000000000002i−2i2i−2i000000000000002-200000
χ542-22-200222-2-22-22-2-2202i−2i0000-200002-22-22i−2i2i−2i2-20000000002i−2i002-2002i−2i2i−2i00000000000000−2i2i−2i2i00000000000000-2200000
χ552-22-200222-2-22-22-2-220−2i2i0000-200002-22-2−2i2i−2i2i2-2000000000−2i2i002-200−2i2i−2i2i000000000000002i−2i2i−2i00000000000000-2200000
χ562-22-200222-2-22-22-2-220−2i2i0000-200002-22-2−2i2i−2i2i2-2000000000−2i2i002-200−2i2i−2i2i00000000000000−2i2i−2i2i000000000000002-200000
χ57444444-24-4-4-244-24-2-2-400-2-244-2-2-2-2-2-2-2-4-400002200000-4002000022220000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-21444-2-2-2-21111111-2-2-2-2-2-2-2-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-214-4-4-2-2-2-21111111-2-22222-2-20000-4-222-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-2111111122−2i3−2i32i32i322000002−2i32i320000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-21111111222i32i3−2i3−2i3220000022i3−2i320000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ624444-4-4-24-4-4-244-24-2-240022-4-4-22222-2-2-4-400002200000400-2000022-2-20000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-44422221-1-1-1-111-2-2-2-2-2-2-2-20000-42222-2-22211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-4-4-422221-1-1-1-111-2-22222-2-2000042-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-2140022221-1-1-1-11122−2i3−2i32i32i32200000-22i3−2i3-20000-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-2140022221-1-1-1-111222i32i3−2i3−2i32200000-2−2i32i3-20000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-44-200422-4-2-4-20004-4-22-2-2-22222000000004i−4i4i−4i000000000000000000000000000−2i2i−2i2i0000000000000000000000000
χ6844-4-44-44-200422-4-2-4-20004-4-22-2-2-2222200000000−4i4i−4i4i0000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ6944-4-44-4-2400-2-4-4242-2000-224-4-2-2-222220000000000000000000000000000000000022−2222−22000000000000000000−22−220000000
χ7044-4-44-4-2400-2-4-4242-2000-224-4-2-2-2222200000000000000000000000000000000000−2222−22220000000000000000002−22−20000000
χ7144-4-4-444-200422-4-2-4-2000-442-2-222-2-222000000004i−4i−4i4i000000000000000000000000000−2i2i2i−2i0000000000000000000000000
χ7244-4-4-444-200422-4-2-4-2000-442-2-222-2-22200000000−4i4i4i−4i0000000000000000000000000002i−2i−2i2i0000000000000000000000000
χ7344-4-4-44-2400-2-4-4242-20002-2-44-222-2-2220000000000000000000000000000000000022−22−2222000000000000000000−222−20000000
χ7444-4-4-44-2400-2-4-4242-20002-2-44-222-2-22200000000000000000000000000000000000−222222−220000000000000000002−2−220000000
χ754-44-40044-44-44-44-4-440000000-400004-4-440000-440000000000000-44000000000000000000000000000000000000000000000
χ764-44-4004-24-4-4-2242-4-204i−4i000020000-22-22−2i2i−2i2i4-40000000004i−4i00-2200−2i2i−2i2i000000000000000000000000000000000000000
χ774-44-4004-24-4-4-2242-4-20−4i4i000020000-22-222i−2i2i−2i4-4000000000−4i4i00-22002i−2i2i−2i000000000000000000000000000000000000000
χ784-44-4004-2-44-4-2242-4-2000000020000-222-223−23−2323-4400000000000002-20023−23−2323000000000000000000000000000000000000000
χ794-44-4004-2-44-4-2242-4-2000000020000-222-2−232323−23-4400000000000002-200−232323−23000000000000000000000000000000000000000
χ804-44-400-244-424-4-2-42-204i−4i000020000-224-44i−4i4i−4i-22000000000−2i2i00-2200−2i2i−2i2i000000000000000000000000000000000000000
χ814-44-400-244-424-4-2-42-20−4i4i000020000-224-4−4i4i−4i4i-220000000002i−2i00-22002i−2i2i−2i000000000000000000000000000000000000000
χ824-44-400-24-4424-4-2-42-2000000020000-22-4400002-20000000000023−232-200000023−2323−2300000000000000000000000000000000000
χ834-44-400-24-4424-4-2-42-2000000020000-22-4400002-200000000000−23232-2000000−2323−232300000000000000000000000000000000000
χ844-44-400-2-24-42-22-222104i−4i0000-13-33-31-1-22−2i2i−2i2i-22000000000−2i2i001-13-3i−ii−i3i−3i−3i3i00000000000000000000000000000000000
χ854-44-400-2-24-42-22-222104i−4i0000-1-33-331-1-22−2i2i−2i2i-22000000000−2i2i001-1-33i−ii−i−3i3i3i−3i00000000000000000000000000000000000
χ864-44-400-2-24-42-22-22210−4i4i0000-13-33-31-1-222i−2i2i−2i-220000000002i−2i001-13-3−ii−ii−3i3i3i−3i00000000000000000000000000000000000
χ874-44-400-2-24-42-22-22210−4i4i0000-1-33-331-1-222i−2i2i−2i-220000000002i−2i001-1-33−ii−ii3i−3i−3i3i00000000000000000000000000000000000
χ884-44-400-2-2-442-22-22210000000-13-33-31-12-223−23−23232-200000000000−2323-11-33−333−33−33−300000000000000000000000000000000000
χ894-44-400-2-2-442-22-22210000000-13-33-31-12-2−232323−232-20000000000023−23-11-333−3−33−33−3300000000000000000000000000000000000
χ904-44-400-2-2-442-22-22210000000-1-33-331-12-223−23−23232-20000000000023−23-113-3−333−3−33−3300000000000000000000000000000000000
χ914-44-400-2-2-442-22-22210000000-1-33-331-12-2−232323−232-200000000000−2323-113-33−3−333−33−300000000000000000000000000000000000
χ924-4-44004400-4-44-4-4440000000-40000-44000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ934-4-44004400-4-44-4-4440000000-40000-440000000000000000000000000000000000000000000−222222−22000000000000000000000
χ9488-8-88-8-4-400-4444-442000-44-44222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88-4-400-4444-4420004-44-42-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88008-400-84-4-848-40000000400004-400000000000000000000000000000000000000000000000000000000000000000000
χ978-8-8800-48004-884-8-4-40000000400004-400000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-40044-444-420000000-26-6-66-2200000000000000000000000000000000000000000000000000000000000000000000
χ998-8-8800-4-40044-444-420000000-2-666-6-2200000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).