Finite Group Databasebeta

← Group #11897558

Character table — Group #11897558

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order122233444466666622346666666121212121212121212121212466666612121212121212121212121212124444121212124444881212121212122424242422888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1
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
χ51111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111
χ61111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1
χ71111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ81111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-11
χ9111111-1-111111111111-11111111111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11-111-1-11-11-11-11-111-1-111-1-11111-1-11-1-1
χ10111111-1-111111111111-11111111111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11-111-1-1-111-1-111-111-1-1-1-111-1-1-1-111-111
χ11111111-1-111111111111-11111111111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1-1111-1-111-1-11-1-11111-1-1-1-1-1-1111-11
χ12111111-1-111111111111-11111111111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1-111-11-11-11-11-1-111-1-1111111-1-1-11-1
χ13111111-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111111-11-111-1-11-1-11-111-1-1-111-1-11111-1-1111-1-1
χ14111111-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111111-11-111-1-1-11-111-11-1-1-11111-1-1-1-111-1-1-111
χ15111111-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111-11-11-1-1111-11-1-11-1111-1-1-1-111-1-111-1-11-11
χ16111111-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111-11-11-1-111-111-11-1-1111-1-111-1-111-1-111-11-1
χ1722222222-2-2222222002-20000222-2-2-222222222-2000000000-2-200-2-2-2-2000022-2-2-2-2-2-20000002200000000000000000
χ1822222222-2-2222222002-20000222-2-2-222222222-2000000000-2-200-2-2-2-20000-2-2222222000000-2-200000000000000000
χ19222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000002200-2-22200002-2-22-2-2220000002-200000000000000000
χ20222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000002200-2-2220000-222-222-2-2000000-2200000000000000000
χ2122222-122222-12-12-122-12-1-1-1-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-122-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1002200-1-1-1-1-1-10000000000000
χ2222222-122222-12-12-122-12-1-1-1-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-122-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100-2-2001111110000000000000
χ2322222-122222-12-12-1-2-2-121111-1-1-12-1-122-1-1-1-1-1-12-2-2-21111-2-2-1211-1-1-1-111112222-1-1-1-100-2-200-1-111110000000000000
χ2422222-122222-12-12-1-2-2-121111-1-1-12-1-122-1-1-1-1-1-12-2-2-21111-2-2-1211-1-1-1-11111-2-2-2-2111100220011-1-1-1-10000000000000
χ2522222-122-2-22-12-12-100-1-2−i3−i3i3i3-1-1-1-21122-1-1-1-1-1-1-2000−i3−i3i3i3001-2−i3i31111−i3−i3i3i322-2-21111000000-1-1−i3i3−i3i30000000000000
χ2622222-122-2-22-12-12-100-1-2−i3−i3i3i3-1-1-1-21122-1-1-1-1-1-1-2000−i3−i3i3i3001-2−i3i31111−i3−i3i3i3-2-222-1-1-1-100000011i3−i3i3−i30000000000000
χ2722222-122-2-22-12-12-100-1-2i3i3−i3−i3-1-1-1-21122-1-1-1-1-1-1-2000i3i3−i3−i3001-2i3−i31111i3i3−i3−i322-2-21111000000-1-1i3−i3i3−i30000000000000
χ2822222-122-2-22-12-12-100-1-2i3i3−i3−i3-1-1-1-21122-1-1-1-1-1-1-2000i3i3−i3−i3001-2i3−i31111i3i3−i3−i3-2-222-1-1-1-100000011−i3i3−i3i30000000000000
χ2922222-1-2-2222-12-12-122-1-2-1-1-1-1-1-1-12-1-1-2-21111112-222-1-1-1-1-2-21-211-1-11111112-22-2-1-111002-200-11-1-1110000000000000
χ3022222-1-2-2222-12-12-122-1-2-1-1-1-1-1-1-12-1-1-2-21111112-222-1-1-1-1-2-21-211-1-1111111-22-2211-1-100-22001-111-1-10000000000000
χ3122222-1-2-2222-12-12-1-2-2-1-21111-1-1-12-1-1-2-211111122-2-21111221-2-1-1-1-111-1-1-1-12-22-2-1-11100-2200-1111-1-10000000000000
χ3222222-1-2-2222-12-12-1-2-2-1-21111-1-1-12-1-1-2-211111122-2-21111221-2-1-1-1-111-1-1-1-1-22-2211-1-1002-2001-1-1-1110000000000000
χ3322222-1-2-2-2-22-12-12-100-12−i3−i3i3i3-1-1-1-211-2-2111111-2000−i3−i3i3i300-12i3−i311-1-1i3i3−i3−i32-2-2211-1-1000000-11−i3i3i3−i30000000000000
χ3422222-1-2-2-2-22-12-12-100-12−i3−i3i3i3-1-1-1-211-2-2111111-2000−i3−i3i3i300-12i3−i311-1-1i3i3−i3−i3-222-2-1-1110000001-1i3−i3−i3i30000000000000
χ3522222-1-2-2-2-22-12-12-100-12i3i3−i3−i3-1-1-1-211-2-2111111-2000i3i3−i3−i300-12−i3i311-1-1−i3−i3i3i32-2-2211-1-1000000-11i3−i3−i3i30000000000000
χ3622222-1-2-2-2-22-12-12-100-12i3i3−i3−i3-1-1-1-211-2-2111111-2000i3i3−i3−i300-12−i3i311-1-1−i3−i3i3i3-222-2-1-1110000001-1−i3i3i3−i30000000000000
χ372222-122222-12-12-1222-122222-1-1-1-122-1-122-1-1-1-1-12-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-100000000220022000000-1-1-1-1000000-1-10
χ382222-122222-12-12-1222-122222-1-1-1-122-1-122-1-1-1-1-12-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-100000000-2-200-2-20000001111000000110
χ392222-122222-12-12-12-2-2-12-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-2111111112-1-2-2-1-1-1-11111000000002200-2-20000001111000000-1-10
χ402222-122222-12-12-12-2-2-12-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-2111111112-1-2-2-1-1-1-1111100000000-2-20022000000-1-1-1-1000000110
χ412222-12-2-222-12-12-1222-1-22222-1-1-1-12211-2-21111-1-2-1-1-1-1-1-111-21-2-2-1-1111111000000002-2002-2000000-1-111000000-110
χ422222-12-2-222-12-12-1222-1-22222-1-1-1-12211-2-21111-1-2-1-1-1-1-1-111-21-2-2-1-111111100000000-2200-2200000011-1-10000001-10
χ432222-12-2-222-12-12-12-2-2-1-2-2-2-2-2-1-1-1-12211-2-21111-12111111-1-1-2122-1-111-1-1-1-1000000002-200-2200000011-1-1000000-110
χ442222-12-2-222-12-12-12-2-2-1-2-2-2-2-2-1-1-1-12211-2-21111-12111111-1-1-2122-1-111-1-1-1-100000000-22002-2000000-1-1110000001-10
χ4522-2-222002-222-2-2-2-22-2202-22-22-2-222-200000000-202-22-22-20000002-20000000000000000000000000000002-22-200000
χ4622-2-222002-222-2-2-2-22-2202-22-22-2-222-200000000-202-22-22-20000002-2000000000000000000000000000000-22-2200000
χ4722-2-222002-222-2-2-2-2-2220-22-222-2-222-200000000-20-22-22-220000002-20000000000000000000000000000002-2-2200000
χ4822-2-222002-222-2-2-2-2-2220-22-222-2-222-200000000-20-22-22-220000002-2000000000000000000000000000000-222-200000
χ494444-2444-4-4-24-24-2400-2-40000-2-2-22-4-4-2-244-2-2-2-22000000000-420022220000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-24-2400-240000-2-2-22-4-422-4-4222220000000004-20022-2-20000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-24414-2-2-2-2111-2-2-2-2-2-2-21111-24-2-21111-2-2-2-2-2-211111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-2-21111-2-422-1-1-1-122-2-2221111-1-1-1-1000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2001-4−2i3−2i32i32i3111222-2-2-2-211112000i3i3−i3−i30022−2i32i3-1-1-1-1i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2001-42i32i3−2i3−2i3111222-2-2-2-211112000−i3−i3i3i300222i3−2i3-1-1-1-1−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2441-4-2-2-2-2111-2-2-22222-1-1-1-1-2-4-2-2111122222211-1-1-1-1-1-1000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-4-41-42222111-2-2-22222-1-1-1-1-2422-1-1-1-1-2-222-2-211-1-11111000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-20014−2i3−2i32i32i31112222222-1-1-1-12000i3i3−i3−i300-2-22i3−2i3-1-111−i3−i3i3i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-200142i32i3−2i3−2i31112222222-1-1-1-12000−i3−i3i3i300-2-2−2i32i3-1-111i3i3−i3−i3000000000000000000000000000000000
χ5944-4-44400-4444-4-4-4-4004000004-4-4-4-440000000040000000000000-44000000000000000000000000000000000000000
χ6044-4-44-2004-44-2-42-424-4-20-22-22-2224-2200000000-404-4-22-22000000-22000000000000000000000000000000000000000
χ6144-4-44-2004-44-2-42-42-44-202-22-2-2224-2200000000-40-442-22-2000000-22000000000000000000000000000000000000000
χ6244-4-44-200-444-2-42-4200-20−2i32i32i3−2i3-222-42-2000000004000−2i32i32i3−2i30000002-2000000000000000000000000000000000000000
χ6344-4-44-200-444-2-42-4200-202i3−2i3−2i32i3-222-42-20000000040002i3−2i3−2i32i30000002-2000000000000000000000000000000000000000
χ6444-4-4-24004-4-242-42-44-4-204-44-4-222-24-40000000020-22-22-22000000-22000000000000000000000000000000000000000
χ6544-4-4-24004-4-242-42-4-44-20-44-44-222-24-400000000202-22-22-2000000-22000000000000000000000000000000000000000
χ6644-4-4-2400-44-242-42-400-200000-2222-4400000000-2000000023−2300002-20023−2323−23000000000000000000000000000000000
χ6744-4-4-2400-44-242-42-400-200000-2222-4400000000-20000000−232300002-200−2323−2323000000000000000000000000000000000
χ6844-4-4-2-2004-4-2-222224-410-22-221-1-1-2-2200003i3i−3i−3i20-221-11-10000001-13i−3i3i−3i−3i3i000000000000000000000000000000000
χ6944-4-4-2-2004-4-2-222224-410-22-221-1-1-2-220000−3i−3i3i3i20-221-11-10000001-1−3i3i−3i3i3i−3i000000000000000000000000000000000
χ7044-4-4-2-2004-4-2-22222-44102-22-21-1-1-2-2200003i3i−3i−3i202-2-11-110000001-13i−3i−3i3i3i−3i000000000000000000000000000000000
χ7144-4-4-2-2004-4-2-22222-44102-22-21-1-1-2-220000−3i−3i3i3i202-2-11-110000001-1−3i3i3i−3i−3i3i000000000000000000000000000000000
χ7244-4-4-2-200-44-2-222220010−2i32i32i3−2i31-1-122-200003i3i−3i−3i-2000i3−i3−i3i3−23230000-11−3i3i3−33−3000000000000000000000000000000000
χ7344-4-4-2-200-44-2-222220010−2i32i32i3−2i31-1-122-20000−3i−3i3i3i-2000i3−i3−i3i323−230000-113i−3i−33−33000000000000000000000000000000000
χ7444-4-4-2-200-44-2-2222200102i3−2i3−2i32i31-1-122-200003i3i−3i−3i-2000−i3i3i3−i323−230000-11−3i3i−33−33000000000000000000000000000000000
χ7544-4-4-2-200-44-2-2222200102i3−2i3−2i32i31-1-122-20000−3i−3i3i3i-2000−i3i3i3−i3−23230000-113i−3i3−33−3000000000000000000000000000000000
χ764-44-4440000-4-4-444-400400000-44-40000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ774-44-4440000-4-4-444-400400000-44-400000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ784-4-44444-400-4-44-4-4400400000-4-440004-44-44-44-40000000000000000000000000000000000000000000000000000000
χ794-4-4444-4400-4-44-4-4400400000-4-44000-44-44-44-440000000000000000000000000000000000000000000000000000000
χ804-4-444-24-400-4242-4-200-20000022-20004-4-22-22-2200000000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ814-4-444-24-400-4242-4-200-20000022-20004-4-22-22-22000000000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ824-4-444-2-4400-4242-4-200-20000022-2000-442-22-22-200000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ834-4-444-2-4400-4242-4-200-20000022-2000-442-22-22-2000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ844-4-44-244-4002-4-2-42400-20000022-2000-224-4-22-220000000000000000000000000000000000000000006−66−6000000000
χ854-4-44-244-4002-4-2-42400-20000022-2000-224-4-22-22000000000000000000000000000000000000000000−66−66000000000
χ864-4-44-24-44002-4-2-42400-20000022-20002-2-442-22-20000000000000000000000000000000000000000006−6−66000000000
χ874-4-44-24-44002-4-2-42400-20000022-20002-2-442-22-2000000000000000000000000000000000000000000−666−6000000000
χ888-88-88-40000-84-8-48400-4000004-44000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4800004-848-4-800-4000004-44000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40000444-4-4400200000-22-200000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ918-88-8-4-40000444-4-4400200000-22-20000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000
χ928-8-88-4-48-80044-444-400200000-2-22000-44-442-22-20000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4-880044-444-400200000-2-220004-44-4-22-220000000000000000000000000000000000000000000000000000000

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