Finite Group Databasebeta

← Group #11889101

Character table — Group #11889101

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order12222233446666663466666661212121244661212121212121212121222244444121212121212121212121212121224666668812121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1111-1-11-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111111-1-11-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1111-1-11-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-11111-1-1-111-1-1-1-11111-1-1
χ711111111111111111111111111111-1-1111-1-11-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111111111-1-1
χ811111111111111111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-111-1111111-1-1-1-111
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1111-11-111-1-11111111-111-1-1-1-1111-1-1-11-1-1-111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-111-1-1-111-1-111-11-11-1-111-1-1-1-1-1-11-111-1-1-11-111-1-1-1111111-1-1-1-111-11
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1-1-11-11-111-1-11111111-111-1-11-11-1-1111-1-1-1-1-1-111-1-111-11
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1-1-1-11-11-1-111-1-1-1-1-1-11-111-1-111-1-1-1111-1111-1-11111-1-11-1
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-1111-11-1-1-1-1-111-1-1-1-1-11-1-111-11111-1-11-1-111-1-111-1-1111-1
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-111-11-111111-1-11111-11-1-111-1-1-111-1-11-11-1-1-1-11111-1-1-11
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-111-1-1-1-1-11-1-111111-1-111-11-11111-1-111-1-1-11
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-1-1-11-111111-1-11111-11-1-1111-1-1-1-111-111-1-111-1-1-1-1111-1
χ1722222222-2-22222222-22222222-2-2-2-20022-200-200-2-2-2-2002-2-2200-2-2-2-200000000000020000002000000000000
χ1822222222-2-22222222-22222222-2-2-2-20022-200-200-2-2-2-200-222-2002222000000000000-2000000-2000000000000
χ192222222-122-1-1-1222-1222-1-1-1-1-122-1-122-1-1-122222-1-1-1-12200000000000000-1-1-1-1-1-1200-1-1-1-122000-1-1-1-1000000
χ202222222-122-1-1-1222-1222-1-1-1-1-122-1-122-1-1-122222-1-1-1-1-2-200000000000000-1-1-1-1-1-1-2001111-2-20001111000000
χ212222222-122-1-1-1222-1222-1-1-1-1-122-1-1-2-2-1-1-1-2-22-2-2-1-1-1-12200000000000000111111200-1-1-1-1-2-20001111000000
χ222222222-122-1-1-1222-1222-1-1-1-1-122-1-1-2-2-1-1-1-2-22-2-2-1-1-1-1-2-200000000000000111111-200111122000-1-1-1-1000000
χ23222222-1222222-1-1-1-12-1-122-1-1-1-1-12222-1-12-1-1-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-122-1-1-1-102-1000000-1-1-10000000000
χ24222222-1222222-1-1-1-12-1-122-1-1-1-1-12222-1-12-1-1-1-1-1-1-1-1-100-2-2-2-2-2-21111111122-1-1-1-10-210000001110000000000
χ25222222-1222222-1-1-1-12-1-122-1-1-1-1-122-2-2-1-1211-111-1-1-1-1002222-2-2-1-1-1-11111-2-211110-2-1000000-1110000000000
χ26222222-1222222-1-1-1-12-1-122-1-1-1-1-122-2-2-1-1211-111-1-1-1-100-2-2-2-2221111-1-1-1-1-2-211110210000001-1-10000000000
χ27222222-12-2-2222-1-1-1-1-2-1-122-1-1-111-2-200-1-1-2−i3i31−i3i31111002-2-22001111−i3−i3i3i300−i3i3−i3i300-1000000-1−i3i30000000000
χ28222222-12-2-2222-1-1-1-1-2-1-122-1-1-111-2-200-1-1-2−i3i31−i3i3111100-222-200-1-1-1-1i3i3−i3−i300−i3i3−i3i30010000001i3−i30000000000
χ29222222-12-2-2222-1-1-1-1-2-1-122-1-1-111-2-200-1-1-2i3−i31i3−i31111002-2-22001111i3i3−i3−i300i3−i3i3−i300-1000000-1i3−i30000000000
χ30222222-12-2-2222-1-1-1-1-2-1-122-1-1-111-2-200-1-1-2i3−i31i3−i3111100-222-200-1-1-1-1−i3−i3i3i300i3−i3i3−i30010000001−i3i30000000000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-2200200-2-2220022-2-20022-2-20000000000002000000-2000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-2200200-2-22200-2-22200-2-222000000000000-20000002000000000000
χ332222-2-22-122-1-1-1222-1-2-2-211-1-1-122-1-12-211122-2-2-2-1-1112200000000000000-11-1-111-200-1-111-22000-1-111000000
χ342222-2-22-122-1-1-1222-1-2-2-211-1-1-122-1-12-211122-2-2-2-1-111-2-200000000000000-11-1-11120011-1-12-200011-1-1000000
χ352222-2-22-122-1-1-1222-1-2-2-211-1-1-122-1-1-22111-2-2-222-1-11122000000000000001-111-1-1-200-1-1112-200011-1-1000000
χ362222-2-22-122-1-1-1222-1-2-2-211-1-1-122-1-1-22111-2-2-222-1-111-2-2000000000000001-111-1-120011-1-1-22000-1-111000000
χ372222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-1222-211-2-1-1111-1-111002-22-22211-1-1-1-1-1-12-2-1-1110-2-10000001110000000000
χ382222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-1222-211-2-1-1111-1-11100-22-22-2-2-1-11111112-2-1-111021000000-1-1-10000000000
χ392222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-122-2211-2111-1-1-1-111002-22-2-2-211-1-11111-2211-1-102-10000001-1-10000000000
χ402222-2-2-1222222-1-1-1-1-211-2-2-1-1-1-1-122-2211-2111-1-1-1-11100-22-2222-1-111-1-1-1-1-2211-1-10-21000000-1110000000000
χ412222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-2-200112−i3i3-1i3−i311-1-10022-2-200-1-111−i3−i3i3i300−i3i3i3−i300-10000001i3−i30000000000
χ422222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-2-200112−i3i3-1i3−i311-1-100-2-2220011-1-1i3i3−i3−i300−i3i3i3−i3001000000-1−i3i30000000000
χ432222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-2-200112i3−i3-1−i3i311-1-10022-2-200-1-111i3i3−i3−i300i3−i3−i3i300-10000001−i3i30000000000
χ442222-2-2-12-2-2222-1-1-1-1211-2-2-1-1-111-2-200112i3−i3-1−i3i311-1-100-2-2220011-1-1−i3−i3i3i300i3−i3−i3i3001000000-1i3−i30000000000
χ452-22-200222-2-2-22-22-2200000-2-222-22-200000000002-2002-200002i−2i00002i−2i2i−2i0000000002-2000000000002i−2i0000
χ462-22-200222-2-2-22-22-2200000-2-222-22-200000000002-2002-20000−2i2i0000−2i2i−2i2i0000000002-200000000000−2i2i0000
χ472-22-200222-2-2-22-22-2200000-2-222-22-200000000002-200-2200002i−2i00002i−2i2i−2i000000000-2200000000000−2i2i0000
χ482-22-200222-2-2-22-22-2200000-2-222-22-200000000002-200-220000−2i2i0000−2i2i−2i2i000000000-22000000000002i−2i0000
χ494444444-2-4-4-2-2-2444-2-444-2-2-2-2-2-4-42200-2-2200-400222200000000000000000000000000000000000000000000
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
χ544444-4-44-2-4-4-2-2-2444-24-4-422-2-2-2-4-4220022-20040022-2-200000000000000000000000000000000000000000000
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
χ5944-4-4004400-44-44-4-4400000-44-40000000000000000000000000000000000000000000000000000000000−2i22i200
χ6044-4-4004400-44-44-4-4400000-44-400000000000000000000000000000000000000000000000000000000002i2−2i200
χ614-44-40044-44-4-44-44-4400000-4-44-44-440000000000-440000000000000000000000000000000000000000000000
χ624-44-4004-24-422-2-44-4-20000022-24-4-220000000000-22004-400000000000000000000000-2200000000000000000
χ634-44-4004-24-422-2-44-4-20000022-24-4-220000000000-2200-44000000000000000000000002-200000000000000000
χ644-44-4004-2-4422-2-44-4-20000022-2-442-200000000002-200000000000000000000000000000−2i32i3000000000000000
χ654-44-4004-2-4422-2-44-4-20000022-2-442-200000000002-2000000000000000000000000000002i3−2i3000000000000000
χ664-44-400-244-4-4-442-22-20000022-2-224-40000000000-22000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ674-44-400-244-4-4-442-22-20000022-2-224-40000000000-2200000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ684-44-400-24-44-4-442-22-20000022-22-2-4400000000002-20000000000000023−23−23230000000000000000000000000000
χ694-44-400-24-44-4-442-22-20000022-22-2-4400000000002-200000000000000−232323−230000000000000000000000000000
χ704-4-444-444004-4-4-4-44404-44-44-4-40000004-4000000000000000000000000000000000000000000000000000000
χ714-4-444-44-200-222-4-44-204-4-22-222000000-22000000000000000000000000000000000000000000006−66−6000000
χ724-4-444-44-200-222-4-44-204-4-22-222000000-2200000000000000000000000000000000000000000000−66−66000000
χ734-4-444-4-24004-4-422-2-20-224-4-222000000-2200000000000000000023−2323−2300000000000000000000000000000000
χ744-4-444-4-24004-4-422-2-20-224-4-222000000-22000000000000000000−2323−232300000000000000000000000000000000
χ754-4-44-4444004-4-4-4-4440-44-444-4-4000000-44000000000000000000000000000000000000000000000000000000
χ764-4-44-444-200-222-4-44-20-442-2-2220000002-2000000000000000000000000000000000000000000006−6−66000000
χ774-4-44-444-200-222-4-44-20-442-2-2220000002-200000000000000000000000000000000000000000000−666−6000000
χ784-4-44-44-24004-4-422-2-202-2-44-2220000002-200000000000000000023−23−232300000000000000000000000000000000
χ794-4-44-44-24004-4-422-2-202-2-44-2220000002-2000000000000000000−232323−2300000000000000000000000000000000
χ8088-8-8008-4004-448-8-8-4000004-4400000000000000000000000000000000000000000000000000000000000000
χ8188-8-800-4800-88-8-444-4000004-4400000000000000000000000000000000000000000000000000000000000000
χ8288-8-800-4-4004-44-444200000-22-200000000000000006i−6i00000000000000000000000000000000000000000000
χ8388-8-800-4-4004-44-444200000-22-20000000000000000−6i6i00000000000000000000000000000000000000000000
χ848-88-800-4-48-844-44-44200000-2-22-44-4400000000002-20000000000000000000000000000000000000000000000
χ858-88-800-4-4-8844-44-44200000-2-224-44-40000000000-220000000000000000000000000000000000000000000000
χ868-8-888-8-4-400-44444-420-44-442-2-20000002-2000000000000000000000000000000000000000000000000000000
χ878-8-88-88-4-400-44444-4204-44-42-2-2000000-22000000000000000000000000000000000000000000000000000000

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