Finite Group Databasebeta

← Group #11895661

Character table — Group #11895661

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122233444466666634446661212121212121212121212121212121244444121212121212121212121212121212121212121244888812121212888822446666121224242424448812124
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
χ5111111111111111111-1-111111111-1-1-1-111111111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1
χ6111111111111111111-1-111111111-1-1-1-111111111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111
χ7111111111111111111-1-111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11
χ8111111111111111111-1-111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111111-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-111-1-11-111-1-111-1-11-1-1
χ10111111-1-1111111111-111111111-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11-1-1111-1-11-1-1-111-1-111-111
χ11111111-1-1111111111-111111111-1-11111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1-111-1111-1-1-1-1111-11
χ12111111-1-1111111111-111111111-1-11111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-1-111-11-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-11111-111-1-1-1-1-1-111111-111-1-111-1-11111-11-11-1-1111-111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-11111-111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-111-1-1-1111-1-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-11111-111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-11-1-1111-1-1-1111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-11111-111-1-1-1-1-1-11111-11-1-111-1-11111111-11-111-1-1-11-1-111-1-1-1-11-11
χ1722222222-2-22222222-200222-2-2-2220000222222-222220-2000000-2-2-2-2-200000000-2-200002222000000000000-2-200000000000
χ1822222222-2-22222222-200222-2-2-2220000222222-2-2-2-2-20-2000000-2-2-2-2-200000000220000-2-2-2-20000000000002200000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-20000-2-2-2-2-2-2-222-2-2020000002-2-22200000000-22000022-2-2000000000000-2200000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-20000-2-2-2-2-2-2-2-2-222020000002-2-222000000002-20000-2-2220000000000002-200000000000
χ2122222-1222222-1-1-12-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100002200-1-1-1-1-1-100000000000
χ2222222-1222222-1-1-12-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011110000-2-20011111100000000000
χ2322222-1222222-1-1-12-12-2-2-1-1-12-1-1-1-1111122-1-1-1-122222-22-2-2-2-211-1-1-1-1-111111111220000-1-1-1-10000-2-2001111-1-100000000000
χ2422222-1222222-1-1-12-12-2-2-1-1-12-1-1-1-1111122-1-1-1-12-2-2-2-2-22-2-2-2-211-1-1-1-1-111111111-2-20000111100002200-1-1-1-11100000000000
χ2522222-122-2-222-1-1-12-1-200-1-1-1-211-1-1−i3−i3i3i322-1-1-1-1-222220-20000−i3i311111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-100000000−i3i3−i3i31100000000000
χ2622222-122-2-222-1-1-12-1-200-1-1-1-211-1-1−i3−i3i3i322-1-1-1-1-2-2-2-2-20-20000−i3i311111−i3−i3i3i3−i3−i3i3i3220000111100000000i3−i3i3−i3-1-100000000000
χ2722222-122-2-222-1-1-12-1-200-1-1-1-211-1-1i3i3−i3−i322-1-1-1-1-222220-20000i3−i311111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-100000000i3−i3i3−i31100000000000
χ2822222-122-2-222-1-1-12-1-200-1-1-1-211-1-1i3i3−i3−i322-1-1-1-1-2-2-2-2-20-20000i3−i311111i3i3−i3−i3i3i3−i3−i3220000111100000000−i3i3−i3i3-1-100000000000
χ2922222-1-2-22222-1-1-12-1-222-1-1-12-1-111-1-1-1-1-2-21111222-2-2-2-222-2-2111-1-111-1-1-1-111112-20000-1-11100002-200-1-111-1100000000000
χ3022222-1-2-22222-1-1-12-1-222-1-1-12-1-111-1-1-1-1-2-211112-2-222-2-222-2-2111-1-111-1-1-1-11111-22000011-1-10000-220011-1-11-100000000000
χ3122222-1-2-22222-1-1-12-1-2-2-2-1-1-12-1-1111111-2-21111222-2-22-2-2-222-1-11-1-1111111-1-1-1-12-20000-1-1110000-220011-1-1-1100000000000
χ3222222-1-2-22222-1-1-12-1-2-2-2-1-1-12-1-1111111-2-211112-2-2222-2-2-222-1-11-1-1111111-1-1-1-1-22000011-1-100002-200-1-1111-100000000000
χ3322222-1-2-2-2-222-1-1-12-1200-1-1-1-21111−i3−i3i3i3-2-21111-222-2-2020000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i3-220000-1-11100000000−i3i3i3−i31-100000000000
χ3422222-1-2-2-2-222-1-1-12-1200-1-1-1-21111−i3−i3i3i3-2-21111-2-2-222020000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i32-2000011-1-100000000i3−i3−i3i3-1100000000000
χ3522222-1-2-2-2-222-1-1-12-1200-1-1-1-21111i3i3−i3−i3-2-21111-222-2-2020000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i3-220000-1-11100000000i3−i3−i3i31-100000000000
χ3622222-1-2-2-2-222-1-1-12-1200-1-1-1-21111i3i3−i3−i3-2-21111-2-2-222020000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i32-2000011-1-100000000−i3i3i3−i3-1100000000000
χ372222-122222-1-1222-1-1222-1-1-1-122222222-1-1-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002222000000000022000000-1-1-1-10000-1-10
χ382222-122222-1-1222-1-1222-1-1-1-122222222-1-1-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-200000011110000110
χ392222-122222-1-1222-1-12-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-10000-2-11111-2-22-1-1-1-1111111110022220000000000-2-2000000-1-1-1-10000110
χ402222-122222-1-1222-1-12-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-10000-2-11111-2-22-1-1-1-11111111100-2-2-2-200000000002200000011110000-1-10
χ412222-12-2-222-1-1222-1-1-222-1-1-1-122-2-22222111111-10000-21-1-111-2-2-2-1-111-1-1-1-111110022-2-200000000002-2000000-1-1110000-110
χ422222-12-2-222-1-1222-1-1-222-1-1-1-122-2-22222111111-10000-21-1-111-2-2-2-1-111-1-1-1-1111100-2-2220000000000-2200000011-1-100001-10
χ432222-12-2-222-1-1222-1-1-2-2-2-1-1-1-122-2-2-2-2-2-2111111-100002111-1-122-2-1-1111111-1-1-1-10022-2-20000000000-22000000-1-11100001-10
χ442222-12-2-222-1-1222-1-1-2-2-2-1-1-1-122-2-2-2-2-2-2111111-100002111-1-122-2-1-1111111-1-1-1-100-2-22200000000002-200000011-1-10000-110
χ4522-2-2222-200-2-2-22-2220002-2-20002-200002-222-2-202i−2i2i−2i00000000000000000000000−i2i2−i2i22i−2i2i−2i22−2−20000000000−i2i2−i2i2002−2000
χ4622-2-2222-200-2-2-22-2220002-2-20002-200002-222-2-202i−2i2i−2i00000000000000000000000i2−i2i2−i22i−2i2i−2i−2−2220000000000i2−i2i2−i200−22000
χ4722-2-2222-200-2-2-22-2220002-2-20002-200002-222-2-20−2i2i−2i2i00000000000000000000000−i2i2−i2i2−2i2i−2i2i−2−2220000000000−i2i2−i2i200−22000
χ4822-2-2222-200-2-2-22-2220002-2-20002-200002-222-2-20−2i2i−2i2i00000000000000000000000i2−i2i2−i2−2i2i−2i2i22−2−20000000000i2−i2i2−i2002−2000
χ4922-2-222-2200-2-2-22-2220002-2-2000-220000-22-2-22202i−2i−2i2i00000000000000000000000−i2i2i2−i22i−2i−2i2i22−2−20000000000−i2i2i2−i200−22000
χ5022-2-222-2200-2-2-22-2220002-2-2000-220000-22-2-22202i−2i−2i2i00000000000000000000000i2−i2−i2i22i−2i−2i2i−2−2220000000000i2−i2−i2i2002−2000
χ5122-2-222-2200-2-2-22-2220002-2-2000-220000-22-2-2220−2i2i2i−2i00000000000000000000000−i2i2i2−i2−2i2i2i−2i−2−2220000000000−i2i2i2−i2002−2000
χ5222-2-222-2200-2-2-22-2220002-2-2000-220000-22-2-2220−2i2i2i−2i00000000000000000000000i2−i2−i2i2−2i2i2i−2i22−2−20000000000i2−i2−i2i200−22000
χ532-22-22200-222-22-2-2-2202i−2i-22-2-22-2002i−2i2i−2i00000020000002i−2i000002-2002i−2i2i−2i000000000000002i−2i2i−2i000000000000002-200000
χ542-22-22200-222-22-2-2-2202i−2i-22-2-22-2002i−2i2i−2i00000020000002i−2i000002-2002i−2i2i−2i00000000000000−2i2i−2i2i00000000000000-2200000
χ552-22-22200-222-22-2-2-220−2i2i-22-2-22-200−2i2i−2i2i0000002000000−2i2i000002-200−2i2i−2i2i000000000000002i−2i2i−2i00000000000000-2200000
χ562-22-22200-222-22-2-2-220−2i2i-22-2-22-200−2i2i−2i2i0000002000000−2i2i000002-200−2i2i−2i2i00000000000000−2i2i−2i2i000000000000002-200000
χ574444-2444-4-4-2-2444-2-2-400-2-2-22-4-4440000-2-2-2-2-2-22000002000000-422220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-2444-2-2400-2-2-22-4-4-4-40000222222200000-2000000422-2-20000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-22222-2-21111-20000-4-2222222-21111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111222-2-2−2i3−2i32i32i3-2-2111120000020000−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111222-2-22i32i3−2i3−2i3-2-21111200000200002i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-444111-2-2-222-2-2-2-222-1-1-1-1-20000-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-4111-2-2-222222222-1-1-1-1-200004222-2-2-2-2211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-2140011122222−2i3−2i32i32i322-1-1-1-1200000-200002i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21400111222222i32i3−2i3−2i322-1-1-1-1200000-20000−2i32i3-2-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-24-400-4-42-224-2000-222000-2200004-4-2-22204i−4i4i−4i000000000000000000000000000−2i2i−2i2i0000000000000000000000000
χ6844-4-44-24-400-4-42-224-2000-222000-2200004-4-2-2220−4i4i−4i4i0000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ6944-4-44-2-4400-4-42-224-2000-2220002-20000-4422-2-204i−4i−4i4i000000000000000000000000000−2i2i2i−2i0000000000000000000000000
χ7044-4-44-2-4400-4-42-224-2000-2220002-20000-4422-2-20−4i4i4i−4i0000000000000000000000000002i−2i−2i2i0000000000000000000000000
χ7144-4-4-244-40022-44-4-2-2000-2220004-40000-22-2-2220000000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000
χ7244-4-4-244-40022-44-4-2-2000-2220004-40000-22-2-22200000000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000
χ7344-4-4-24-440022-44-4-2-2000-222000-4400002-222-2-20000000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000
χ7444-4-4-24-440022-44-4-2-2000-222000-4400002-222-2-200000000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000
χ754-44-444004-44-44-4-4-44000-44-44-44000000000000-40000000000000-44000000000000000000000000000000000000000000000
χ764-44-44-2004-44-4-222-4-20002-2242-20023−23−2323000000-400000000000002-20023−23−2323000000000000000000000000000000000000000
χ774-44-44-2004-44-4-222-4-20002-2242-200−232323−23000000-400000000000002-200−232323−23000000000000000000000000000000000000000
χ784-44-44-200-444-4-222-4-204i−4i2-22-4-2200−2i2i−2i2i00000040000004i−4i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ794-44-44-200-444-4-222-4-20−4i4i2-22-4-22002i−2i2i−2i0000004000000−4i4i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ804-44-4-24004-4-224-4-42-20002-22-2-44000000000000200000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ814-44-4-24004-4-224-4-42-20002-22-2-440000000000002000000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ824-44-4-2400-44-224-4-42-204i−4i2-2224-4004i−4i4i−4i000000-2000000−2i2i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ834-44-4-2400-44-224-4-42-20−4i4i2-2224-400−4i4i−4i4i000000-20000002i−2i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ844-44-4-2-2004-4-22-22221000-11-1-22-20023−23−2323003i−3i3i−3i200000000−2i32i3000-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000000
χ854-44-4-2-2004-4-22-22221000-11-1-22-20023−23−232300−3i3i−3i3i2000000002i3−2i3000-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000000
χ864-44-4-2-2004-4-22-22221000-11-1-22-200−232323−23003i−3i3i−3i2000000002i3−2i3000-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000000
χ874-44-4-2-2004-4-22-22221000-11-1-22-200−232323−2300−3i3i−3i3i200000000−2i32i3000-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000000
χ884-44-4-2-200-44-22-2222104i−4i-11-12-2200−2i2i−2i2i003i−3i3i−3i-2000000−2i2i000001-1−3i3ii−ii−i-333-300000000000000000000000000000000000
χ894-44-4-2-200-44-22-2222104i−4i-11-12-2200−2i2i−2i2i00−3i3i−3i3i-2000000−2i2i000001-13i−3ii−ii−i3-3-3300000000000000000000000000000000000
χ904-44-4-2-200-44-22-222210−4i4i-11-12-22002i−2i2i−2i003i−3i3i−3i-20000002i−2i000001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000000
χ914-44-4-2-200-44-22-222210−4i4i-11-12-22002i−2i2i−2i00−3i3i−3i3i-20000002i−2i000001-13i−3i−ii−ii-333-300000000000000000000000000000000000
χ924-4-44440000-44-4-44-44000-4-44000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ934-4-44440000-44-4-44-44000-4-440000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ9488-8-8-4-48-800444-44-420002-2-2000-440000-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-8800444-44-420002-2-20004-400004-4-2-2220000000000000000000000000000000000000000000000000000000000000
χ968-8-888-40000-8844-4-8-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88-4800004-4-8-884-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400004-444-442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400004-444-442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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