Finite Group Databasebeta

← Group #11889716

Character table — Group #11889716

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order12222233446666663466666661212121212124466121212121212121212244444668888121212121212242424242424242412121212121244412121212221212288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111-11-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111-1-1111-1-1-1-111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ61111111111111111111111111111111-1-1111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111-1-1
χ71111111111111111111111111111111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-11-1-1-11111-1-11-1-1
χ81111111111111111111111111111111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111
χ91111-1-111111111111-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-11-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-11-11111-11-11-1
χ101111-1-111111111111-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-11-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1111-111-1-11-11-11
χ111111-1-111111111111-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-11-1111-1-111-1-11111111111-1-1-1-1-11-1-1111-1-1-11-1-1-1-1-111-11
χ121111-1-111111111111-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-11-1111-1-1-1-111111111-1-1-1-11111-11-1-111-1-11-11-1-1111-1-11-1
χ131111-1-111111111111-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-11-11-1111111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-11-111-1
χ141111-1-111111111111-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-11-11-11111-1-111-1-11111-1-1-1-111111-111-1-11-1-11-1-1-111-11-1-11
χ151111-1-111111111111-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-1-111-1111111-1-1-11
χ161111-1-111111111111-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1111-1-1-1111-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-20022-20000-2-2-2-222-2-20022000022000000000000000000000-2-2000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-20022-20000-2-2-2-2-2-22200-2-20000-2-200000000000000000000022000000000
χ192222222-1222-1-122-1-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1222222-1-10000-1-1-1-1-1-10000000022-1-1-1-1020-1-1-1-10000000
χ202222222-1222-1-122-1-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21100001111110000000022-1-1-1-10-2011110000000
χ212222222-1222-1-122-1-1222-1-1-1-1-1-1-12222-2-2-1-1-11111-1-1-1-12222-2-2-1-10000-1-1111100000000-2-211110-20-1-1110000000
χ222222222-1222-1-122-1-1222-1-1-1-1-1-1-12222-2-2-1-1-11111-1-1-1-1-2-2-2-22211000011-1-1-1-100000000-2-2111102011-1-10000000
χ232222222-1-2-22-1-122-1-1-222-1-1-1-1-111-2-2-2-200-1-11−i3i3−i3i3111122-2-200-1-10000-1-1−i3−i3i3i30000000000−i3i3−i3i300011−i3i30000000
χ242222222-1-2-22-1-122-1-1-222-1-1-1-1-111-2-2-2-200-1-11−i3i3−i3i31111-2-2220011000011i3i3−i3−i30000000000−i3i3−i3i3000-1-1i3−i30000000
χ252222222-1-2-22-1-122-1-1-222-1-1-1-1-111-2-2-2-200-1-11i3−i3i3−i3111122-2-200-1-10000-1-1i3i3−i3−i30000000000i3−i3i3−i300011i3−i30000000
χ262222222-1-2-22-1-122-1-1-222-1-1-1-1-111-2-2-2-200-1-11i3−i3i3−i31111-2-2220011000011−i3−i3i3i30000000000i3−i3i3−i3000-1-1−i3i30000000
χ27222222-1222-122-1-12-12-1-122-1-1-122-1-1-1-122-1-122222-1-1-1-1000000002222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1202000000-1-1000
χ28222222-1222-122-1-12-12-1-122-1-1-122-1-1-1-122-1-122222-1-1-1-100000000-2-2-2-200000011111111-1-1-1-1-1-1-20-200000011000
χ29222222-1222-122-1-12-12-1-122-1-1-122-1-1-1-1-2-2-1-12-2-2-2-2-1-1-1-1000000002222000000-1-1-1-1-1-1-1-1111111-20-200000011000
χ30222222-1222-122-1-12-12-1-122-1-1-122-1-1-1-1-2-2-1-12-2-2-2-2-1-1-1-100000000-2-2-2-200000011111111111111202000000-1-1000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-222-200-2-220000-2-2222-2-2200220000-2-2000000000000000000000-22000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-222-200-2-220000-2-222-222-200-2-20000220000000000000000000002-2000000000
χ332222-2-22-1222-1-122-1-1-2-2-211-1-1-1-1-12-2-222-2111-1-111-1-1112-22-2-2-2-1-1000011111100000000-2211-1-1020-11-1-10000000
χ342222-2-22-1222-1-122-1-1-2-2-211-1-1-1-1-12-2-222-2111-1-111-1-111-22-2222110000-1-1-1-1-1-100000000-2211-1-10-201-1110000000
χ352222-2-22-1222-1-122-1-1-2-2-211-1-1-1-1-12-2-22-2211111-1-1-1-1112-22-222-1-1000011-1-1-1-1000000002-2-1-1110-20-11110000000
χ362222-2-22-1222-1-122-1-1-2-2-211-1-1-1-1-12-2-22-2211111-1-1-1-111-22-22-2-2110000-1-11111000000002-2-1-1110201-1-1-10000000
χ372222-2-22-1-2-22-1-122-1-12-2-211-1-1-111-222-20011-1−i3i3i3−i311-1-12-2-2200-1-1000011i3i3−i3−i30000000000i3−i3−i3i30001-1−i3i30000000
χ382222-2-22-1-2-22-1-122-1-12-2-211-1-1-111-222-20011-1−i3i3i3−i311-1-1-222-200110000-1-1−i3−i3i3i30000000000i3−i3−i3i3000-11i3−i30000000
χ392222-2-22-1-2-22-1-122-1-12-2-211-1-1-111-222-20011-1i3−i3−i3i311-1-12-2-2200-1-1000011−i3−i3i3i30000000000−i3i3i3−i30001-1i3−i30000000
χ402222-2-22-1-2-22-1-122-1-12-2-211-1-1-111-222-20011-1i3−i3−i3i311-1-1-222-200110000-1-1i3i3−i3−i30000000000−i3i3i3−i3000-11−i3i30000000
χ412222-2-2-1222-122-1-12-1-211-2-2-1-1-122-111-12-211-222-2-2-1-1110000000022-2-2000000-1-1-1-111111-111-1-120-20000001-1000
χ422222-2-2-1222-122-1-12-1-211-2-2-1-1-122-111-12-211-222-2-2-1-11100000000-2-2220000001111-1-1-1-11-111-1-1-202000000-11000
χ432222-2-2-1222-122-1-12-1-211-2-2-1-1-122-111-1-2211-2-2-222-1-1110000000022-2-2000000-1-1-1-11111-11-1-111-202000000-11000
χ442222-2-2-1222-122-1-12-1-211-2-2-1-1-122-111-1-2211-2-2-222-1-11100000000-2-2220000001111-1-1-1-1-11-1-11120-20000001-1000
χ452-22-200222-2-2-22-22-2200000-2-222-2200-20000000002-20000002i−2i00002i−2i002i−2i2i−2i00002i2i−2i−2i00000000000002-200000
χ462-22-200222-2-2-22-22-2200000-2-222-2200-20000000002-20000002i−2i0000−2i2i002i−2i2i−2i0000−2i−2i2i2i0000000000000-2200000
χ472-22-200222-2-2-22-22-2200000-2-222-2200-20000000002-2000000−2i2i00002i−2i00−2i2i−2i2i00002i2i−2i−2i0000000000000-2200000
χ482-22-200222-2-2-22-22-2200000-2-222-2200-20000000002-2000000−2i2i0000−2i2i00−2i2i−2i2i0000−2i−2i2i2i00000000000002-200000
χ49444444-24-4-4-244-2-24-2-4-2-244-2-2-2-4-4222200-2-2-4000022220000000000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-24411-2-2-2-2-2111100000000000000000000000000-2-2111100000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2-4-411-2222211110000000000000000000000000022-1-1-1-100000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200112−2i32i3−2i32i3-1-1-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222001122i3−2i32i3−2i3-1-1-1-10000000000000000000000000000−i3i3−i3i300000000000000
χ544444-4-4-24-4-4-244-2-24-2422-4-4-2-2-2-4-42-2-2200224000022-2-20000000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-222-24-4-1-12-2-22211-1-1000000000000000000000000002-2-1-11100000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-222-2-44-1-1222-2-211-1-100000000000000000000000000-2211-1-100000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-2142222111222-2-2200-1-1-2−2i32i32i3−2i3-1-1110000000000000000000000000000−i3i3i3−i300000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2142222111222-2-2200-1-1-22i3−2i3−2i32i3-1-1110000000000000000000000000000i3−i3−i3i300000000000000
χ5944-4-44-4440044-4-4-4-4404-44-44-4-4000000004-40000000000000000000000000000000000000000000000000000000
χ6044-4-44-44-2004-22-4-42-204-4-22-22200000000-22000000000000000−2i32i30000−2i32i300000000000000000000000000000000
χ6144-4-44-44-2004-22-4-42-204-4-22-22200000000-220000000000000002i3−2i300002i3−2i300000000000000000000000000000000
χ6244-4-44-4-2400-24-422-4-20-224-4-22200000000-22000000000000000000000000000i6i6−i6−i6i6−i6i6−i600000000000000000000
χ6344-4-44-4-2400-24-422-4-20-224-4-22200000000-22000000000000000000000000000−i6−i6i6i6−i6i6−i6i600000000000000000000
χ6444-4-4-44440044-4-4-4-440-44-444-4-400000000-440000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-2004-22-4-42-20-442-2-222000000002-2000000000000000−2i32i300002i3−2i300000000000000000000000000000000
χ6644-4-4-444-2004-22-4-42-20-442-2-222000000002-20000000000000002i3−2i30000−2i32i300000000000000000000000000000000
χ6744-4-4-44-2400-24-422-4-202-2-44-222000000002-2000000000000000000000000000i6i6−i6−i6−i6i6−i6i600000000000000000000
χ6844-4-4-44-2400-24-422-4-202-2-44-222000000002-2000000000000000000000000000−i6−i6i6i6i6−i6i6−i600000000000000000000
χ694-44-40044-44-4-44-44-4400000-4-44-44-4004000000000-44000000000000000000000000000000000000000000000000
χ704-44-4004-24-4-42-2-442-20000022-2-22400-4000000000-220000004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ714-44-4004-24-4-42-2-442-20000022-2-22400-4000000000-22000000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ724-44-4004-2-44-42-2-442-20000022-22-2-40040000000002-2000000000000000023−23−23230000000000000000000000000000
χ734-44-4004-2-44-42-2-442-20000022-22-2-40040000000002-20000000000000000−232323−230000000000000000000000000000
χ744-44-400-244-42-442-2-4-20000022-24-4-2002000000000-220000000000004i−4i0000000000−2i−2i2i2i00000000000000000000
χ754-44-400-244-42-442-2-4-20000022-24-4-2002000000000-22000000000000−4i4i00000000002i2i−2i−2i00000000000000000000
χ764-44-400-24-442-442-2-4-20000022-2-44200-20000000002-200000000000000000000−2i32i3−2i32i3000000000000000000000000
χ774-44-400-24-442-442-2-4-20000022-2-44200-20000000002-2000000000000000000002i3−2i32i3−2i3000000000000000000000000
χ784-4-44004400-4-4-44-44400000-44-400000000000000000000000000022−220000000022−22−2222000000000000000000000000
χ794-4-44004400-4-4-44-44400000-44-4000000000000000000000000000−222200000000−222222−22000000000000000000000000
χ804-4-4400-24002-4-4-224-2000002-2200023−2300000000000023−230000000022−2200000000−222−26−6−6600000000000000000000
χ814-4-4400-24002-4-4-224-2000002-2200023−2300000000000023−2300000000−2222000000002−2−22−666−600000000000000000000
χ824-4-4400-24002-4-4-224-2000002-22000−2323000000000000−23230000000022−2200000000−222−2−666−600000000000000000000
χ834-4-4400-24002-4-4-224-2000002-22000−2323000000000000−232300000000−2222000000002−2−226−6−6600000000000000000000
χ8488-8-88-8-4-400-4-4444420-44-442-2-2000000002-20000000000000000000000000000000000000000000000000000000
χ8588-8-8-88-4-400-4-44444204-44-42-2-200000000-220000000000000000000000000000000000000000000000000000000
χ868-88-800-4-48-844-44-44200000-2-22-44-40040000000002-2000000000000000000000000000000000000000000000000
χ878-88-800-4-4-8844-44-44200000-2-224-4400-4000000000-22000000000000000000000000000000000000000000000000
χ888-8-88008-400-8448-8-4-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-400444-44-4200000-22-200043−43000000000000−23230000000000000000000000000000000000000000000000
χ908-8-8800-4-400444-44-4200000-22-2000−434300000000000023−230000000000000000000000000000000000000000000000

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