Finite Group Databasebeta

← Group #11896065

Character table — Group #11896065

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order12223344446666663444666121212121212121212121212121212122666666661212121212121212121212124444121212124444881212121212122424242444888812124
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
χ511111111111111111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111
χ611111111111111111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1
χ711111111111111111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ811111111111111111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-11
χ9111111-1-111111111111-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-111-1-11-11-11-11-111-1-111-1-11111-1-11-1-1
χ10111111-1-111111111111-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-111-1-11-1-11-111-111-1-1-1-111-1-1-1-111-111
χ11111111-1-111111111111-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11-1-111-111-11-1-11-1-11111-1-1-1-1-1-1111-11
χ12111111-1-111111111111-11111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11-1-111-11-11-11-11-1-111-1-1111111-1-1-11-1
χ13111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-111-1-111-1-1-111-1-11111-1-1111-1-1
χ14111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-11-111-11-1-1-11111-1-1-1-111-1-1-111
χ15111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-1111-11-1-11-1111-1-1-1-111-1-111-1-11-11
χ16111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-1111-1-111-1-1111-1-111-1-111-1-111-11-1
χ1722222222-2-2222222200-2222-222220000-2-22222-200000000000-2-2-2-2-2-2000022-2-2-2-2-2-20000002200000000000000000
χ1822222222-2-2222222200-2222-222220000-2-22222-200000000000-2-2-2-2-2-20000-2-2222222000000-2-200000000000000000
χ19222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-20000000000022-2-22200002-2-22-2-2220000002-200000000000000000
χ20222222-2-2-2-22222222002222-2-2-2-2-20000-2-2-2-2-2-2-20000000000022-2-2220000-222-222-2-2000000-2200000000000000000
χ2122222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-12-1-1-1-1-1-1-1-12222-1-1-1-1220000-1-1-1-1-1-10000000000000
χ2222222-1222222-1-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-12-1-1-1-1-1-1-1-1-2-2-2-21111-2-200001111110000000000000
χ2322222-1222222-1-12-1-1-2-22-1-1-1222-1-11111-1-1-1-1-1-12-2-2-2111111-2-2-12-1-1-1-111112222-1-1-1-1-2-20000-1-111110000000000000
χ2422222-1222222-1-12-1-1-2-22-1-1-1222-1-11111-1-1-1-1-1-12-2-2-2111111-2-2-12-1-1-1-11111-2-2-2-2111122000011-1-1-1-10000000000000
χ2522222-122-2-222-1-12-1-100-2-1-1-1-222-1-1−i3−i3i3i311-1-1-1-1-2000−i3i3−i3−i3i3i3001-21111−i3−i3i3i322-2-21111000000-1-1−i3i3−i3i30000000000000
χ2622222-122-2-222-1-12-1-100-2-1-1-1-222-1-1−i3−i3i3i311-1-1-1-1-2000−i3i3−i3−i3i3i3001-21111−i3−i3i3i3-2-222-1-1-1-100000011i3−i3i3−i30000000000000
χ2722222-122-2-222-1-12-1-100-2-1-1-1-222-1-1i3i3−i3−i311-1-1-1-1-2000i3−i3i3i3−i3−i3001-21111i3i3−i3−i322-2-21111000000-1-1i3−i3i3−i30000000000000
χ2822222-122-2-222-1-12-1-100-2-1-1-1-222-1-1i3i3−i3−i311-1-1-1-1-2000i3−i3i3i3−i3−i3001-21111i3i3−i3−i3-2-222-1-1-1-100000011−i3i3−i3i30000000000000
χ2922222-1-2-22222-1-12-1-122-2-1-1-12-2-211-1-1-1-1-1-111112-2-2-2111111221-2-1-111-1-1-1-12-22-2-1-1112-20000-11-1-1110000000000000
χ3022222-1-2-22222-1-12-1-122-2-1-1-12-2-211-1-1-1-1-1-111112-2-2-2111111221-2-1-111-1-1-1-1-22-2211-1-1-2200001-111-1-10000000000000
χ3122222-1-2-22222-1-12-1-1-2-2-2-1-1-12-2-2111111-1-111112222-1-1-1-1-1-1-2-21-2-1-11111112-22-2-1-111-220000-1111-1-10000000000000
χ3222222-1-2-22222-1-12-1-1-2-2-2-1-1-12-2-2111111-1-111112222-1-1-1-1-1-1-2-21-2-1-1111111-22-2211-1-12-200001-1-1-1110000000000000
χ3322222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211−i3−i3i3i3111111-2000i3−i3i3i3−i3−i300-1211-1-1−i3−i3i3i32-2-2211-1-1000000-11−i3i3i3−i30000000000000
χ3422222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211−i3−i3i3i3111111-2000i3−i3i3i3−i3−i300-1211-1-1−i3−i3i3i3-222-2-1-1110000001-1i3−i3−i3i30000000000000
χ3522222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211i3i3−i3−i3111111-2000−i3i3−i3−i3i3i300-1211-1-1i3i3−i3−i32-2-2211-1-1000000-11i3−i3−i3i30000000000000
χ3622222-1-2-2-2-222-1-12-1-1002-1-1-1-2-2-211i3i3−i3−i3111111-2000−i3i3−i3−i3i3i300-1211-1-1i3i3−i3−i3-222-2-1-1110000001-1−i3i3i3−i30000000000000
χ372222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-100000000002222000000-1-1-1-1000000-1-10
χ382222-122222-1-122-12-1222-1-1-1-1-1-122222222-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000001111000000110
χ392222-122222-1-122-12-1-2-22-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-211-2-21111112-1-1-1-1-11111000000000022-2-20000001111000000-1-10
χ402222-122222-1-122-12-1-2-22-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-211-2-21111112-1-1-1-1-111110000000000-2-222000000-1-1-1-1000000110
χ412222-12-2-222-1-122-12-122-2-1-1-1-111-2-22222221111-1-211-2-21111-1-1-21-1-111-1-1-1-100000000002-22-2000000-1-111000000-110
χ422222-12-2-222-1-122-12-122-2-1-1-1-111-2-22222221111-1-211-2-21111-1-1-21-1-111-1-1-1-10000000000-22-2200000011-1-10000001-10
χ432222-12-2-222-1-122-12-1-2-2-2-1-1-1-111-2-2-2-2-2-2221111-12-1-122-1-1-1-111-21-1-111111100000000002-2-2200000011-1-1000000-110
χ442222-12-2-222-1-122-12-1-2-2-2-1-1-1-111-2-2-2-2-2-2221111-12-1-122-1-1-1-111-21-1-11111110000000000-222-2000000-1-1110000001-10
χ452-22-22200-222-2-2-2-2222i−2i02-2-2-200002i−2i2i−2i2-2000020000000002i−2i002-2002i−2i2i−2i0000000000000000000000002-22i−2i00000
χ462-22-22200-222-2-2-2-2222i−2i02-2-2-200002i−2i2i−2i2-2000020000000002i−2i002-2002i−2i2i−2i000000000000000000000000-22−2i2i00000
χ472-22-22200-222-2-2-2-222−2i2i02-2-2-20000−2i2i−2i2i2-200002000000000−2i2i002-200−2i2i−2i2i0000000000000000000000002-2−2i2i00000
χ482-22-22200-222-2-2-2-222−2i2i02-2-2-20000−2i2i−2i2i2-200002000000000−2i2i002-200−2i2i−2i2i000000000000000000000000-222i−2i00000
χ494444-2444-4-4-2-244-24-200-4-2-2-22-2-2440000-4-4-2-2-2-2200000000000-4222220000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-24-2004-2-2-2222-4-40000-4-422222000000000004-222-2-20000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-24-2-2-2-21111-2-2-2-211111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-22222-2-21111-2-42222-1-1-1-122-2-21111-1-1-1-1000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2100-41112-2-2-2-2−2i3−2i32i32i32211112000−2i32i3i3i3−i3−i30022-1-1-1-1i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2100-41112-2-2-2-22i32i3−2i3−2i322111120002i3−2i3−i3−i3i3i30022-1-1-1-1−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2144-4111-22222-2-2-2-2-2-2-1-1-1-1-2-42222-1-1-1-1-2-22211-1-11111000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4-4-4111-222222222-2-2-1-1-1-1-24-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2100411122222−2i3−2i32i32i322-1-1-1-120002i3−2i3−i3−i3i3i300-2-2-1-111i3i3−i3−i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-21004111222222i32i3−2i3−2i322-1-1-1-12000−2i32i3i3i3−i3−i300-2-2-1-111−i3−i3i3i3000000000000000000000000000000000
χ5944-4-4444-400-44-44-4-44000-4-4404-44-400000044-4-40000000000000000000000000000000000000000000000000000000
χ6044-4-444-4400-44-44-4-44000-4-440-44-44000000-4-4440000000000000000000000000000000000000000000000000000000
χ6144-4-44-24-400-442-2-42-200022-204-4-22000000-2-2220000000000000000000000000023−2323−230000000000000000000000000
χ6244-4-44-24-400-442-2-42-200022-204-4-22000000-2-22200000000000000000000000000−2323−23230000000000000000000000000
χ6344-4-44-2-4400-442-2-42-200022-20-442-200000022-2-20000000000000000000000000023−23−23230000000000000000000000000
χ6444-4-44-2-4400-442-2-42-200022-20-442-200000022-2-200000000000000000000000000−232323−230000000000000000000000000
χ6544-4-4-244-4002-2-442-4-200022-20-224-4000000-2-2220000000000000000000000000000000000000000006−66−6000000000
χ6644-4-4-244-4002-2-442-4-200022-20-224-4000000-2-222000000000000000000000000000000000000000000−66−66000000000
χ6744-4-4-24-44002-2-442-4-200022-202-2-4400000022-2-20000000000000000000000000000000000000000006−6−66000000000
χ6844-4-4-24-44002-2-442-4-200022-202-2-4400000022-2-2000000000000000000000000000000000000000000−666−6000000000
χ694-44-444004-44-4-4-4-4440004-4-4400000000-440000-40000000000000-44000000000000000000000000000000000000000
χ704-44-44-2004-44-422-4-2-2000-2224000023−23−23232-20000-400000000000002-20023−23−2323000000000000000000000000000000000
χ714-44-44-2004-44-422-4-2-2000-22240000−232323−232-20000-400000000000002-200−232323−23000000000000000000000000000000000
χ724-44-44-200-444-422-4-2-24i−4i0-222-40000−2i2i−2i2i-22000040000000004i−4i00-2200−2i2i−2i2i000000000000000000000000000000000
χ734-44-44-200-444-422-4-2-2−4i4i0-222-400002i−2i2i−2i-2200004000000000−4i4i00-22002i−2i2i−2i000000000000000000000000000000000
χ744-44-4-24004-4-22-4-424-2000-222-200000000-44000020−2i32i300−2i32i3−2i32i300002-2000000000000000000000000000000000000000
χ754-44-4-24004-4-22-4-424-2000-222-200000000-440000202i3−2i3002i3−2i32i3−2i300002-2000000000000000000000000000000000000000
χ764-44-4-2400-44-22-4-424-24i−4i0-222200004i−4i4i−4i4-40000-2000000000−2i2i00-2200−2i2i−2i2i000000000000000000000000000000000
χ774-44-4-2400-44-22-4-424-2−4i4i0-22220000−4i4i−4i4i4-40000-20000000002i−2i00-22002i−2i2i−2i000000000000000000000000000000000
χ784-44-4-2-2004-4-22222-210001-1-1-2000023−23−23232-23i−3i3i−3i20−2i32i300i3−i3i3−i30000-113i−3i−333−3000000000000000000000000000000000
χ794-44-4-2-2004-4-22222-210001-1-1-2000023−23−23232-2−3i3i−3i3i202i3−2i300−i3i3−i3i30000-11−3i3i−333−3000000000000000000000000000000000
χ804-44-4-2-2004-4-22222-210001-1-1-20000−232323−232-23i−3i3i−3i202i3−2i300−i3i3−i3i30000-113i−3i3−3−33000000000000000000000000000000000
χ814-44-4-2-2004-4-22222-210001-1-1-20000−232323−232-2−3i3i−3i3i20−2i32i300i3−i3i3−i30000-11−3i3i3−3−33000000000000000000000000000000000
χ824-44-4-2-200-44-22222-214i−4i01-1-120000−2i2i−2i2i-223i−3i3i−3i-200000-333-3−2i2i001-1−3i3ii−ii−i000000000000000000000000000000000
χ834-44-4-2-200-44-22222-214i−4i01-1-120000−2i2i−2i2i-22−3i3i−3i3i-2000003-3-33−2i2i001-13i−3ii−ii−i000000000000000000000000000000000
χ844-44-4-2-200-44-22222-21−4i4i01-1-1200002i−2i2i−2i-223i−3i3i−3i-2000003-3-332i−2i001-1−3i3i−ii−ii000000000000000000000000000000000
χ854-44-4-2-200-44-22222-21−4i4i01-1-1200002i−2i2i−2i-22−3i3i−3i3i-200000-333-32i−2i001-13i−3i−ii−ii000000000000000000000000000000000
χ864-4-44440000-4-44-44-44000-44-400000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ874-4-44440000-4-44-44-44000-44-4000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ8888-8-8-4-48-8004-44-4442000-2-220-44-4400000022-2-20000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4-88004-44-4442000-2-2204-44-4000000-2-2220000000000000000000000000000000000000000000000000000000
χ908-8-888-40000-8-8-4484-40004-440000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-480000448-8-4-8-40004-440000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4000044-44-442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4000044-44-442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000

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