Finite Group Databasebeta

← Group #11897660

Character table — Group #11897660

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order1222334444666666344466612121212121212121212121212121212412121212121212121212121212121212121212124444121212124444881212121212122424242422888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ511111111111111111-1-1111111111-1-1-1-11111111-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111
χ611111111111111111-1-1111111111-1-1-1-11111111-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1
χ711111111111111111-1-1111111111-1-1-1-11111111-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ811111111111111111-1-1111111111-1-1-1-11111111-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-11
χ9111111-1-111111111111-1111-1-11111111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-11-11-11-11-111-1-111-1-11111-1-11-1-1
χ10111111-1-111111111111-1111-1-11111111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-11-1-11-111-111-1-1-1-111-1-1-1-111-111
χ11111111-1-111111111111-1111-1-11111111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-111-11-1-11-1-11111-1-1-1-1-1-1111-11
χ12111111-1-111111111111-1111-1-11111111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-11-11-11-11-1-111-1-1111111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-111111-11-111-1-1-111-1-111-1-1-111-1-11111-1-1111-1-1
χ14111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-111111-11-111-1-1-11-111-11-1-1-11111-1-1-1-111-1-1-111
χ15111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-11111-11-11-1-1111-11-1-11-1111-1-1-1-111-1-111-1-11-11
χ16111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-11111-11-11-1-1111-1-111-1-1111-1-111-1-111-1-111-11-1
χ1722222222-2-2222222200-222222-2-2-20000222222-2000-200-200-2-2-2-20000000022-2-22222000000-2-200000000000000000
χ1822222222-2-2222222200-222222-2-2-20000222222-2000-200-200-2-2-2-200000000-2-222-2-2-2-20000002200000000000000000
χ19222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-2000200200-2-222000000002-2-2222-2-2000000-2200000000000000000
χ20222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-2000200200-2-22200000000-222-2-2-2220000002-200000000000000000
χ2122222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1220000-1-1-1-1-1-10000000000000
χ2222222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-200001111110000000000000
χ2322222-1222222-1-12-1-1-2-22-1-1-1222-1-11111-1-1-1-1-1-12-2-2-22-2-2-111-1-1-1-1111111112222-1-1-1-1-2-20000-1-111110000000000000
χ2422222-1222222-1-12-1-1-2-22-1-1-1222-1-11111-1-1-1-1-1-12-2-2-22-2-2-111-1-1-1-111111111-2-2-2-2111122000011-1-1-1-10000000000000
χ2522222-122-2-222-1-12-1-100-2-1-1-122-211−i3−i3i3i3-1-1-1-1-1-1-2000-2001−i3i31111−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-100000011−i3i3−i3i30000000000000
χ2622222-122-2-222-1-12-1-100-2-1-1-122-211−i3−i3i3i3-1-1-1-1-1-1-2000-2001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2221111000000-1-1i3−i3i3−i30000000000000
χ2722222-122-2-222-1-12-1-100-2-1-1-122-211i3i3−i3−i3-1-1-1-1-1-1-2000-2001i3−i31111i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-100000011i3−i3i3−i30000000000000
χ2822222-122-2-222-1-12-1-100-2-1-1-122-211i3i3−i3−i3-1-1-1-1-1-1-2000-2001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2221111000000-1-1−i3i3−i3i30000000000000
χ2922222-1-2-22222-1-12-1-122-2-1-1-1-2-22-1-1-1-1-1-11111112-222-2-2-2111-1-111-1-1-1-111112-22-2-1-1112-20000-11-1-1110000000000000
χ3022222-1-2-22222-1-12-1-122-2-1-1-1-2-22-1-1-1-1-1-11111112-222-2-2-2111-1-111-1-1-1-11111-22-2211-1-1-2200001-111-1-10000000000000
χ3122222-1-2-22222-1-12-1-1-2-2-2-1-1-1-2-22-1-1111111111122-2-2-2221-1-1-1-1111111-1-1-1-12-22-2-1-111-220000-1111-1-10000000000000
χ3222222-1-2-22222-1-12-1-1-2-2-2-1-1-1-2-22-1-1111111111122-2-2-2221-1-1-1-1111111-1-1-1-1-22-2211-1-12-200001-1-1-1110000000000000
χ3322222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211−i3−i3i3i3111111-2000200-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2-22-1-1110000001-1−i3i3i3−i30000000000000
χ3422222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211−i3−i3i3i3111111-2000200-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-222-211-1-1000000-11i3−i3−i3i30000000000000
χ3522222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211i3i3−i3−i3111111-2000200-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2-22-1-1110000001-1i3−i3−i3i30000000000000
χ3622222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211i3i3−i3−i3111111-2000200-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-222-211-1-1000000-11−i3i3i3−i30000000000000
χ372222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000002222000000-1-1-1-1000000-1-10
χ382222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000001111000000110
χ392222-122222-1-122-12-1-2-22-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-211-1112-2-2-1-1-1-111111111000000000022-2-20000001111000000-1-10
χ402222-122222-1-122-12-1-2-22-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-211-1112-2-2-1-1-1-1111111110000000000-2-222000000-1-1-1-1000000110
χ412222-12-2-222-1-122-12-122-2-1-1-111-1222222-2-21111-1-2-1-1111-2-2-2-1-111-1-1-1-1111100000000002-22-2000000-1-111000000-110
χ422222-12-2-222-1-122-12-122-2-1-1-111-1222222-2-21111-1-2-1-1111-2-2-2-1-111-1-1-1-111110000000000-22-2200000011-1-10000001-10
χ432222-12-2-222-1-122-12-1-2-2-2-1-1-111-122-2-2-2-2-2-21111-12111-1-1-222-1-1111111-1-1-1-100000000002-2-2200000011-1-1000000-110
χ442222-12-2-222-1-122-12-1-2-2-2-1-1-111-122-2-2-2-2-2-21111-12111-1-1-222-1-1111111-1-1-1-10000000000-222-2000000-1-1110000001-10
χ4522-2-222002-2-222-2-2-222-20-22-20022-22-22-2000000-202-20000002-2002-22-200000000000000000000000000002-22-200000
χ4622-2-222002-2-222-2-2-222-20-22-20022-22-22-2000000-202-20000002-2002-22-20000000000000000000000000000-22-2200000
χ4722-2-222002-2-222-2-2-22-220-22-20022-2-22-22000000-20-220000002-200-22-2200000000000000000000000000002-2-2200000
χ4822-2-222002-2-222-2-2-22-220-22-20022-2-22-22000000-20-220000002-200-22-220000000000000000000000000000-222-200000
χ494444-2444-4-4-2-244-24-200-4-2-2-2-2-22-4-4000044-2-2-2-22000200-400222200000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-24-2004-2-2-2222-4-40000-4-422222000-20040022-2-200000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-24-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-22222-2-21111-2-422-222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2100-4111-2-2222−2i3−2i32i32i3-2-2111120002002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2100-4111-2-22222i32i3−2i3−2i3-2-21111200020022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2144-411122-2-2-2-2-2-2-222-1-1-1-1-2-4-2-222222211-1-11111-1-1-1-1000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4-4-411122-2-2-2222222-1-1-1-1-24222-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2100411122222−2i3−2i32i32i322-1-1-1-12000-200-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-21004111222222i32i3−2i3−2i322-1-1-1-12000-200-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ5944-4-44400-44-444-4-4-44000-44-400-4-4400000000004000000000-440000000000000000000000000000000000000000000
χ6044-4-44-2004-4-44-22-42-24-402-22004-22-22-22000000-404-4000000-2200-22-220000000000000000000000000000000000000
χ6144-4-44-2004-4-44-22-42-2-4402-22004-222-22-2000000-40-44000000-22002-22-20000000000000000000000000000000000000
χ6244-4-44-200-44-44-22-42-20002-2200-42-2−2i32i32i3−2i300000040000000002-200−2i32i32i3−2i30000000000000000000000000000000000000
χ6344-4-44-200-44-44-22-42-20002-2200-42-22i3−2i3−2i32i300000040000000002-2002i3−2i3−2i32i30000000000000000000000000000000000000
χ6444-4-4-24004-42-24-42-4-24-402-2200-24-44-44-400000020-22000000-2200-22-220000000000000000000000000000000000000
χ6544-4-4-24004-42-24-42-4-2-4402-2200-24-4-44-44000000202-2000000-22002-22-20000000000000000000000000000000000000
χ6644-4-4-2400-442-24-42-4-20002-22002-440000000000-2000023−230002-200000023−2323−23000000000000000000000000000000000
χ6744-4-4-2400-442-24-42-4-20002-22002-440000000000-20000−23230002-2000000−2323−2323000000000000000000000000000000000
χ6844-4-4-2-2004-42-2-222214-40-11-100-2-22-22-22003i3i−3i−3i20-220000001-13i−3i1-11-13i−3i−3i3i000000000000000000000000000000000
χ6944-4-4-2-2004-42-2-222214-40-11-100-2-22-22-2200−3i−3i3i3i20-220000001-1−3i3i1-11-1−3i3i3i−3i000000000000000000000000000000000
χ7044-4-4-2-2004-42-2-22221-440-11-100-2-222-22-2003i3i−3i−3i202-20000001-13i−3i-11-11−3i3i3i−3i000000000000000000000000000000000
χ7144-4-4-2-2004-42-2-22221-440-11-100-2-222-22-200−3i−3i3i3i202-20000001-1−3i3i-11-113i−3i−3i3i000000000000000000000000000000000
χ7244-4-4-2-200-442-2-22221000-11-10022-2−2i32i32i3−2i3003i3i−3i−3i-20000−2323000-11−3i3ii3−i3−i3i33−33−3000000000000000000000000000000000
χ7344-4-4-2-200-442-2-22221000-11-10022-2−2i32i32i3−2i300−3i−3i3i3i-2000023−23000-113i−3ii3−i3−i3i3−33−33000000000000000000000000000000000
χ7444-4-4-2-200-442-2-22221000-11-10022-22i3−2i3−2i32i3003i3i−3i−3i-2000023−23000-11−3i3i−i3i3i3−i3−33−33000000000000000000000000000000000
χ7544-4-4-2-200-442-2-22221000-11-10022-22i3−2i3−2i32i300−3i−3i3i3i-20000−2323000-113i−3i−i3i3i3−i33−33−3000000000000000000000000000000000
χ764-44-4444-4004-4-44-4-440004-4-44-400000004-44-44-40000000000000000000000000000000000000000000000000000000
χ774-44-444-44004-4-44-4-440004-4-4-440000000-44-44-440000000000000000000000000000000000000000000000000000000
χ784-44-44-24-4004-42-2-42-2000-2224-40000000-22-22-2200000000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ794-44-44-24-4004-42-2-42-2000-2224-40000000-22-22-22000000000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ804-44-44-2-44004-42-2-42-2000-222-4400000002-22-22-200000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ814-44-44-2-44004-42-2-42-2000-222-4400000002-22-22-2000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ824-44-4-244-400-22-442-4-2000-222-2200000004-4-22-22000000000000000000000000000000000000000000i6−i6i6−i6000000000
χ834-44-4-244-400-22-442-4-2000-222-2200000004-4-22-22000000000000000000000000000000000000000000−i6i6−i6i6000000000
χ844-44-4-24-4400-22-442-4-2000-2222-20000000-442-22-2000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ854-44-4-24-4400-22-442-4-2000-2222-20000000-442-22-2000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ864-4-44440000-4-4-4-4444000-4-440000000000000000000000000000000000000000000000000000000000000000022−22000
χ874-4-44440000-4-4-4-4444000-4-4400000000000000000000000000000000000000000000000000000000000000000−2222000
χ888-88-8-4-48-800-444-44420002-2-2-440000000-442-22-20000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4-8800-444-44420002-2-24-400000004-4-22-220000000000000000000000000000000000000000000000000000000
χ908-8-888-40000-8-8448-4-400044-40000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-48000044-8-8-48-400044-40000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004444-4-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400004444-4-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000

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