Finite Group Databasebeta

← Group #11889415

Character table — Group #11889415

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order12222233446666663466666661212121244661212121212121212121224444444661212121212121212121212124488121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111111111111111-11-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-11111-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1111-1-11-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1111-1-11-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111111111-1-1
χ711111111111111111111111111111-1-1111-1-11-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-11111-111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-111
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-111-1-1-111-1-11-111-11-1-111-1-1-1-1-1-11-111-1-1-111-1-111-1-111111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-111-1-1-111-1-11-1-1-1-11-1-111-1-1-1-1-1-11-111-1-111-11-1-1-111111-1-111-1-111-11
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1-11111-111-1-11111111-111-1-1-1-11-1111-1-1-1-1-111-1-1-1-111-11
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1-11-1-11-111-1-11111111-111-1-11-1-111-1-111-1-1-1-1-11111-1-11-1
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-11-111-111111-1-11111-11-1-111-1-1-11-111-1-11-1-1-1-111-1-1111-1
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-11-1-1-1-111111-1-11111-11-1-1111-11-1-1-1-1111-1-111-1-111-1-1-11
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-11111-1-1-1-1-111-1-1-1-1-11-1-111-11-11111-1-1-111-1-11111-1-1-11
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-11-1-11-1-1-1-1-111-1-1-1-1-11-1-111111-11-1-111-11111-1-1-1-1111-1
χ1722222222-2-22222222-22222222-2-2-2-20022-200-200-2-2-2-22200-2-200222200000000000000-20000-2000000000000
χ1822222222-2-22222222-22222222-2-2-2-20022-200-200-2-2-2-2-2-2002200-2-2-2-200000000000000200002000000000000
χ192222222-1222-12-12-1-1222-1-1-1-1-1-1-12222-1-12-1-1-1-1-1-1-1-1-122002222-1-1-1-1-1-1-1-122-1-1-1-10200-10000-1-1-10000000000
χ202222222-1222-12-12-1-1222-1-1-1-1-1-1-12222-1-12-1-1-1-1-1-1-1-1-1-2-200-2-2-2-21111111122-1-1-1-10-200100001110000000000
χ212222222-1222-12-12-1-1222-1-1-1-1-1-1-122-2-2-1-1211-111-1-1-1-1220022-2-2-1-1-1-11111-2-211110-200-10000-1110000000000
χ222222222-1222-12-12-1-1222-1-1-1-1-1-1-122-2-2-1-1211-111-1-1-1-1-2-200-2-2221111-1-1-1-1-2-211110200100001-1-10000000000
χ232222222-1-2-22-12-12-1-1-222-1-1-1-1-111-2-200-1-1-2−i3i31−i3i311112200-2-200-1-1-1-1−i3−i3i3i300−i3i3−i3i30000100001−i3i30000000000
χ242222222-1-2-22-12-12-1-1-222-1-1-1-1-111-2-200-1-1-2−i3i31−i3i31111-2-20022001111i3i3−i3−i300−i3i3−i3i30000-10000-1i3−i30000000000
χ252222222-1-2-22-12-12-1-1-222-1-1-1-1-111-2-200-1-1-2i3−i31i3−i311112200-2-200-1-1-1-1i3i3−i3−i300i3−i3i3−i30000100001i3−i30000000000
χ262222222-1-2-22-12-12-1-1-222-1-1-1-1-111-2-200-1-1-2i3−i31i3−i31111-2-20022001111−i3−i3i3i300i3−i3i3−i30000-10000-1−i3i30000000000
χ27222222-1222-12-12-12-12-1-122-1-1-122-1-122-1-1-122222-1-1-1-10022000000000000-1-1-1-1-1-120220-1-1-1-1000-1-1-1-1000000
χ28222222-1222-12-12-12-12-1-122-1-1-122-1-122-1-1-122222-1-1-1-100-2-2000000000000-1-1-1-1-1-1-20-2-2011110001111000000
χ29222222-1222-12-12-12-12-1-122-1-1-122-1-1-2-2-1-1-1-2-22-2-2-1-1-1-1002200000000000011111120-2-20-1-1-1-10001111000000
χ30222222-1222-12-12-12-12-1-122-1-1-122-1-1-2-2-1-1-1-2-22-2-2-1-1-1-100-2-2000000000000111111-202201111000-1-1-1-1000000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-2200200-2-2222-2002-20022-2-20000000000000020000-2000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-2200200-2-222-2200-2200-2-22200000000000000-200002000000000000
χ332222-2-22-1222-12-12-1-1-2-2-211-1-1-1-1-1222-211-2-1-1111-1-1112-200-22-2-2-1-11111112-2-1-111020010000-1-1-10000000000
χ342222-2-22-1222-12-12-1-1-2-2-211-1-1-1-1-1222-211-2-1-1111-1-111-22002-22211-1-1-1-1-1-12-2-1-1110-200-100001110000000000
χ352222-2-22-1222-12-12-1-1-2-2-211-1-1-1-1-122-2211-2111-1-1-1-1112-200-2222-1-111-1-1-1-1-2211-1-10-20010000-1110000000000
χ362222-2-22-1222-12-12-1-1-2-2-211-1-1-1-1-122-2211-2111-1-1-1-111-22002-2-2-211-1-11111-2211-1-10200-100001-1-10000000000
χ372222-2-22-1-2-22-12-12-1-12-2-211-1-1-111-2-200112−i3i3-1i3−i311-1-12-2002-200-1-111i3i3−i3−i300−i3i3i3−i30000-100001−i3i30000000000
χ382222-2-22-1-2-22-12-12-1-12-2-211-1-1-111-2-200112−i3i3-1i3−i311-1-1-2200-220011-1-1−i3−i3i3i300−i3i3i3−i3000010000-1i3−i30000000000
χ392222-2-22-1-2-22-12-12-1-12-2-211-1-1-111-2-200112i3−i3-1−i3i311-1-12-2002-200-1-111−i3−i3i3i300i3−i3−i3i30000-100001i3−i30000000000
χ402222-2-22-1-2-22-12-12-1-12-2-211-1-1-111-2-200112i3−i3-1−i3i311-1-1-2200-220011-1-1i3i3−i3−i300i3−i3−i3i3000010000-1−i3i30000000000
χ412222-2-2-1222-12-12-12-1-211-2-2-1-1-122-1-12-211122-2-2-2-1-1110022000000000000-11-1-111-202-20-1-111000-1-111000000
χ422222-2-2-1222-12-12-12-1-211-2-2-1-1-122-1-12-211122-2-2-2-1-11100-2-2000000000000-11-1-11120-22011-1-100011-1-1000000
χ432222-2-2-1222-12-12-12-1-211-2-2-1-1-122-1-1-22111-2-2-222-1-11100220000000000001-111-1-1-20-220-1-11100011-1-1000000
χ442222-2-2-1222-12-12-12-1-211-2-2-1-1-122-1-1-22111-2-2-222-1-11100-2-20000000000001-111-1-1202-2011-1-1000-1-111000000
χ452-2-2200222-2-2-22-2-22200000-2-222-22-200000000002-200002i−2i002-200002-22-2000000000002i−2i000000000002i−2i00
χ462-2-2200222-2-2-22-2-22200000-2-222-22-200000000002-200002i−2i00-220000-22-22000000000002i−2i00000000000−2i2i00
χ472-2-2200222-2-2-22-2-22200000-2-222-22-200000000002-20000−2i2i002-200002-22-200000000000−2i2i00000000000−2i2i00
χ482-2-2200222-2-2-22-2-22200000-2-222-22-200000000002-20000−2i2i00-220000-22-2200000000000−2i2i000000000002i−2i00
χ49444444-24-4-4-24-24-24-2-4-2-244-2-2-2-4-42200-2-2200-400222200000000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-24411-2-2-2-2-2-211110000000000000000-2-211110000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-4-411-222-2221111000000000000000022-1-1-1-10000000000000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222200112−2i32i32−2i32i3-1-1-1-1000000000000000000i3−i3i3−i30000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122i3−2i322i3−2i3-1-1-1-1000000000000000000−i3i3−i3i30000000000000000000000
χ544444-4-4-24-4-4-24-24-24-2422-4-4-2-2-2-4-4220022-20040022-2-200000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-12-2-222211-1-10000000000000000-2211-1-10000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-12222-2-211-1-100000000000000002-2-1-1110000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2−2i32i3-22i3−2i3-1-111000000000000000000i3−i3−i3i30000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-22i3−2i3-2−2i32i3-1-111000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-44-44400-44-4-44-4404-44-44-4-40000004-4000000000000000000000000000000000000000000000000000000
χ6044-4-44-44-200-4-2-4242-204-4-22-222000000-22000000000000000000−2i32i3−2i32i300000000000000000000000000000000
χ6144-4-44-44-200-4-2-4242-204-4-22-222000000-220000000000000000002i3−2i32i3−2i300000000000000000000000000000000
χ6244-4-44-4-2400242-4-2-4-20-224-4-222000000-22000000000000000000000000000000000000000000006−66−6000000
χ6344-4-44-4-2400242-4-2-4-20-224-4-222000000-2200000000000000000000000000000000000000000000−66−66000000
χ6444-4-4-444400-44-4-44-440-44-444-4-4000000-44000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-200-4-2-4242-20-442-2-2220000002-2000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ6644-4-4-444-200-4-2-4242-20-442-2-2220000002-20000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ6744-4-4-44-2400242-4-2-4-202-2-44-2220000002-2000000000000000000000000000000000000000000006−6−66000000
χ6844-4-4-44-2400242-4-2-4-202-2-44-2220000002-200000000000000000000000000000000000000000000−666−6000000
χ694-44-40044004-4-44-4-4400000-44-40000000000000000000000000000000000000000000000000000000022−220000
χ704-44-40044004-4-44-4-4400000-44-400000000000000000000000000000000000000000000000000000000−22220000
χ714-4-440044-44-4-44-4-44400000-4-44-44-440000000000-440000000000000000000000000000000000000000000000
χ724-4-44004-24-4-4242-4-2-20000022-2-224-40000000000-22000000004-40000-22-220000000000000000000000000000
χ734-4-44004-24-4-4242-4-2-20000022-2-224-40000000000-2200000000-4400002-22-20000000000000000000000000000
χ744-4-44004-2-44-4242-4-2-20000022-22-2-4400000000002-200000000000000−2i32i32i3−2i30000000000000000000000000000
χ754-4-44004-2-44-4242-4-2-20000022-22-2-4400000000002-2000000000000002i3−2i3−2i32i30000000000000000000000000000
χ764-4-4400-244-42-4-2-424-20000022-24-4-220000000000-2200004i−4i00000000000000000000000−2i2i000000000000000
χ774-4-4400-244-42-4-2-424-20000022-24-4-220000000000-220000−4i4i000000000000000000000002i−2i000000000000000
χ784-4-4400-24-442-4-2-424-20000022-2-442-200000000002-2000000000000000000000000000000023−230000000000000
χ794-4-4400-24-442-4-2-424-20000022-2-442-200000000002-20000000000000000000000000000000−23230000000000000
χ8088-8-88-8-4-4004-444-4420-44-442-2-20000002-2000000000000000000000000000000000000000000000000000000
χ8188-8-8-88-4-4004-444-44204-44-42-2-2000000-22000000000000000000000000000000000000000000000000000000
χ828-88-8008-40084-8-4-84-4000004-4400000000000000000000000000000000000000000000000000000000000000
χ838-88-800-4800-4-8484-8-4000004-4400000000000000000000000000000000000000000000000000000000000000
χ848-88-800-4-400-444-444200000-22-200000000000000006i−6i00000000000000000000000000000000000000000000
χ858-88-800-4-400-444-444200000-22-20000000000000000−6i6i00000000000000000000000000000000000000000000
χ868-8-8800-4-48-844-444-4200000-2-22-44-4400000000002-20000000000000000000000000000000000000000000000
χ878-8-8800-4-4-8844-444-4200000-2-224-44-40000000000-220000000000000000000000000000000000000000000000

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