Finite Group Databasebeta

← Group #11889723

Character table — Group #11889723

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order122222334466666634666666612121212446612121212121212121212222444446666121212121212121212122466688121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1111111111111111-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1-1-111-111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1111-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1111-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-111-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1111-1-11-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-11-1-111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1111-1-11-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1111-11-1111111-1-1111-1-1-111-1-1-1-11-11-111-1-111-1-111-1-1-11
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1111-11-1-1-11111-1-1111-1-1-111-11-1-111-1-1-1-111-1-111-1-1111-1
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-11-1-1-1111-111-1-11111-1-111-1-1-1-1111-1
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-111-1-11-1-1-1111111-11-11-1-111-1-11111-1-1-11
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-111-1-1-111-1-111-11-1111111111-1-1-1111-1-1-1-1-1-1-11-1111-1-1-1-11111-1-11-1
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-111-1-1-111-1-111-11-11-1-1111111-1-1-1111-1-1-11-1-1-1-111-1-11111-1-1-1-111-11
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-111-1-1-111-1-1-1-11-11-111-1-1-1-1-1-111-1111-1-11-11111-1-111-1-1-1-111-1-111-11
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-111-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-111-1111-1-111111-11-1-1-11111-1-111-1-11-1
χ1722222222-2-22222222-22222222-2-2-2-20022-200-200-2-2-2-20022-2-2000000-2-2-2-20000000000200200000000000000
χ1822222222-2-22222222-22222222-2-2-2-20022-200-200-2-2-2-200-2-22200000022220000000000-200-200000000000000
χ192222222-1222-12-1-12-1222-1-1-1-1-1-1-12222-1-12-1-1-1-1-1-1-1-1-122222200-1-1-1-1-1-1-1-122-1-1-1-120-1-1-100-100000000000000
χ202222222-1222-12-1-12-1222-1-1-1-1-1-1-12222-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2001111111122-1-1-1-1-2011100100000000000000
χ212222222-1222-12-1-12-1222-1-1-1-1-1-1-122-2-2-1-1211-111-1-1-1-122-2-2-2-200-1-1-1-11111-2-2111120-1-1100100000000000000
χ222222222-1222-12-1-12-1222-1-1-1-1-1-1-122-2-2-1-1211-111-1-1-1-1-2-22222001111-1-1-1-1-2-21111-2011-100-100000000000000
χ232222222-1-2-22-12-1-12-1-222-1-1-1-1-111-2-200-1-1-2−i3i31−i3i311110022-2-200−i3−i3i3i3111100−i3i3−i3i300−i3i3-100-100000000000000
χ242222222-1-2-22-12-1-12-1-222-1-1-1-1-111-2-200-1-1-2−i3i31−i3i3111100-2-22200i3i3−i3−i3-1-1-1-100−i3i3−i3i300i3−i3100100000000000000
χ252222222-1-2-22-12-1-12-1-222-1-1-1-1-111-2-200-1-1-2i3−i31i3−i311110022-2-200i3i3−i3−i3111100i3−i3i3−i300i3−i3-100-100000000000000
χ262222222-1-2-22-12-1-12-1-222-1-1-1-1-111-2-200-1-1-2i3−i31i3−i3111100-2-22200−i3−i3i3i3-1-1-1-100i3−i3i3−i300−i3i3100100000000000000
χ27222222-1222-12-122-1-12-1-122-1-1-122-1-122-1-1-122222-1-1-1-10000002200000000-1-1-1-1-1-102000220-1-1-1-1-1-1-1-1000000
χ28222222-1222-12-122-1-12-1-122-1-1-122-1-122-1-1-122222-1-1-1-1000000-2-200000000-1-1-1-1-1-10-2000-2-2011111111000000
χ29222222-1222-12-122-1-12-1-122-1-1-122-1-1-2-2-1-1-1-2-22-2-2-1-1-1-1000000220000000011111102000-2-20-1-1-1-11111000000
χ30222222-1222-12-122-1-12-1-122-1-1-122-1-1-2-2-1-1-1-2-22-2-2-1-1-1-1000000-2-2000000001111110-20002201111-1-1-1-1000000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-2200200-2-222002-2-2200000022-2-20000000000200-200000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-2200200-2-22200-222-2000000-2-2220000000000-200200000000000000
χ332222-2-22-1222-12-1-12-1-2-2-211-1-1-1-1-1222-211-2111-1-1-1-111222-22-200-1-1-1-111-1-12-211-1-1-2011-100100000000000000
χ342222-2-22-1222-12-1-12-1-2-2-211-1-1-1-1-1222-211-2111-1-1-1-111-2-2-22-22001111-1-1112-211-1-120-1-1100-100000000000000
χ352222-2-22-1222-12-1-12-1-2-2-211-1-1-1-1-122-2211-2-1-1111-1-11122-22-2200-1-1-1-1-1-111-22-1-111-2011100-100000000000000
χ362222-2-22-1222-12-1-12-1-2-2-211-1-1-1-1-122-2211-2-1-1111-1-111-2-22-22-200111111-1-1-22-1-11120-1-1-100100000000000000
χ372222-2-22-1-2-22-12-1-12-12-2-211-1-1-111-2-200112−i3i3-1i3−i311-1-1002-2-2200i3i3−i3−i3-1-11100−i3i3i3−i300−i3i3-100100000000000000
χ382222-2-22-1-2-22-12-1-12-12-2-211-1-1-111-2-200112−i3i3-1i3−i311-1-100-222-200−i3−i3i3i311-1-100−i3i3i3−i300i3−i3100-100000000000000
χ392222-2-22-1-2-22-12-1-12-12-2-211-1-1-111-2-200112i3−i3-1−i3i311-1-1002-2-2200−i3−i3i3i3-1-11100i3−i3−i3i300i3−i3-100100000000000000
χ402222-2-22-1-2-22-12-1-12-12-2-211-1-1-111-2-200112i3−i3-1−i3i311-1-100-222-200i3i3−i3−i311-1-100i3−i3−i3i300−i3i3100-100000000000000
χ412222-2-2-1222-12-122-1-1-211-2-2-1-1-122-1-12-2111-2-2-222-1-1110000002200000000-1111-1-10-2000-220-1-111-1-111000000
χ422222-2-2-1222-12-122-1-1-211-2-2-1-1-122-1-12-2111-2-2-222-1-111000000-2-200000000-1111-1-1020002-2011-1-111-1-1000000
χ432222-2-2-1222-12-122-1-1-211-2-2-1-1-122-1-1-2211122-2-2-2-1-11100000022000000001-1-1-1110-20002-20-1-11111-1-1000000
χ442222-2-2-1222-12-122-1-1-211-2-2-1-1-122-1-1-2211122-2-2-2-1-111000000-2-2000000001-1-1-11102000-22011-1-1-1-111000000
χ452-22-200222-2-2-22-22-2200000-2-222-22-200000000002-2002-200002i−2i2-22-20000000000000000002i−2i0000002i−2i0000
χ462-22-200222-2-2-22-22-2200000-2-222-22-200000000002-2002-20000−2i2i2-22-2000000000000000000−2i2i000000−2i2i0000
χ472-22-200222-2-2-22-22-2200000-2-222-22-200000000002-200-2200002i−2i-22-220000000000000000002i−2i000000−2i2i0000
χ482-22-200222-2-2-22-22-2200000-2-222-22-200000000002-200-220000−2i2i-22-22000000000000000000−2i2i0000002i−2i0000
χ49444444-24-4-4-24-244-2-2-4-2-244-2-2-2-4-42200-2-2200-400222200000000000000000000000000000000000000000000
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
χ544444-4-4-24-4-4-24-244-2-2422-4-4-2-2-2-4-4220022-20040022-2-200000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-12222-2-211-1-10000000000000000-22-1-1110000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-12-2-222211-1-100000000000000002-211-1-10000000000000000000000
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
χ5944-4-44-4440044-4-4-4-4404-44-44-4-40000004-4000000000000000000000000000000000000000000000000000000
χ6044-4-44-44-2004-2-422-4-204-4-22-222000000-22000000000000000000000023−2323−230000000000000000000000000000
χ6144-4-44-44-2004-2-422-4-204-4-22-222000000-220000000000000000000000−2323−23230000000000000000000000000000
χ6244-4-44-4-2400-242-4-42-20-224-4-222000000-2200000000000000000000000000000000000000000000i6−i6i6−i6000000
χ6344-4-44-4-2400-242-4-42-20-224-4-222000000-2200000000000000000000000000000000000000000000−i6i6−i6i6000000
χ6444-4-4-44440044-4-4-4-440-44-444-4-4000000-44000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-2004-2-422-4-20-442-2-2220000002-2000000000000000000000023−23−23230000000000000000000000000000
χ6644-4-4-444-2004-2-422-4-20-442-2-2220000002-20000000000000000000000−232323−230000000000000000000000000000
χ6744-4-4-44-2400-242-4-42-202-2-44-2220000002-200000000000000000000000000000000000000000000i6−i6−i6i6000000
χ6844-4-4-44-2400-242-4-42-202-2-44-2220000002-200000000000000000000000000000000000000000000−i6i6i6−i6000000
χ694-44-40044-44-4-44-44-4400000-4-44-44-440000000000-440000000000000000000000000000000000000000000000
χ704-44-4004-24-4-4242-2-4-20000022-2-224-40000000000-22004-4000000-22-2200000000000000000000000000000000
χ714-44-4004-24-4-4242-2-4-20000022-2-224-40000000000-2200-440000002-22-200000000000000000000000000000000
χ724-44-4004-2-44-4242-2-4-20000022-22-2-4400000000002-20000000000−2i32i32i3−2i300000000000000000000000000000000
χ734-44-4004-2-44-4242-2-4-20000022-22-2-4400000000002-200000000002i3−2i3−2i32i300000000000000000000000000000000
χ744-44-400-244-42-4-2-442-20000022-24-4-220000000000-22000000004i−4i0000000000000000000000−2i2i000000000000
χ754-44-400-244-42-4-2-442-20000022-24-4-220000000000-2200000000−4i4i00000000000000000000002i−2i000000000000
χ764-44-400-24-442-4-2-442-20000022-2-442-200000000002-2000000000000000000000000000000000023−230000000000
χ774-44-400-24-442-4-2-442-20000022-2-442-200000000002-20000000000000000000000000000000000−23230000000000
χ784-4-44004400-4-4-44-44400000-44-4000000000000000000000000000000000000000000000000000000000022−2200
χ794-4-44004400-4-4-44-44400000-44-40000000000000000000000000000000000000000000000000000000000−222200
χ8088-8-88-8-4-400-4-4444420-44-442-2-20000002-2000000000000000000000000000000000000000000000000000000
χ8188-8-8-88-4-400-4-44444204-44-42-2-2000000-22000000000000000000000000000000000000000000000000000000
χ828-88-800-4-48-844-44-44200000-2-22-44-4400000000002-20000000000000000000000000000000000000000000000
χ838-88-800-4-4-8844-44-44200000-2-224-44-40000000000-220000000000000000000000000000000000000000000000
χ848-8-88008-400-84-8-448-4000004-4400000000000000000000000000000000000000000000000000000000000000
χ858-8-8800-48004-848-8-4-4000004-4400000000000000000000000000000000000000000000000000000000000000
χ868-8-8800-4-400444-44-4200000-22-200000000000000006i−6i00000000000000000000000000000000000000000000
χ878-8-8800-4-400444-44-4200000-22-20000000000000000−6i6i00000000000000000000000000000000000000000000

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