Finite Group Databasebeta

← Group #11878657

Character table — Group #11878657

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order1222334466666636668812121212242424244444442266121224242424242448888121212121212242424246666666222224121212242448866624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111-1-1-1111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11-1-111
χ51111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111111-1-1-11-1-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-11-111-1-1111-1-11111-1-11-1-1-11-1-11
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-11-1-11111-111-11-1-1-1-11-1-11-111-1
χ11111111111111111111-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-11-11-1-1-1-111-11111-11-1
χ12111111111111111111-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-111-1-1-11-11-11111-111-1-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-111-1-1-1-1111111-11-111-1-1-1-1-11-11111-1-1-111-1-111-1
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-11-1-111-1-1-1-11111111-11-1-111-1-11-11-11-1-1-1-1-11111-1-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-111-1-111-111-1-1-1-1111-1-11-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-111111-1-11-111111-1-1-11-11-1
χ17222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-2000022-2-22200000000000-2-20000-2000020000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002000022-2-2-2-20000000000022000020000-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-20000-2-2222200000000000220000-20000-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-200000020000-2-222-2-200000000000-2-200002000020000000
χ2122222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-12222002222-1-122-1-1-1-100022-1-1-1-100-1-1-1-12-1-1-1-1-1-1002200000000000-1-100
χ2222222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1222200-2-2-2-2-1-122-1-1-1-100022-1-1-1-100-1-1-1-1-211111100-2-2000000000001100
χ2322222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1-2-2-2-2002222-1-122-1-1-1-1000-2-211110011112-1-1-1-1-1-100-2-2000000000001100
χ2422222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1-2-2-2-200-2-2-2-2-1-122-1-1-1-1000-2-21111001111-2111111002200000000000-1-100
χ2522222-1222-12-1-12-1-1-1-1-2-22-1-1211112222002-222-1-1-2-21111000-2-2-1-1-1-1001111-2-11-1-111002-200000000000-1100
χ2622222-1222-12-1-12-1-1-1-1-2-22-1-121111222200-22-2-2-1-1-2-21111000-2-2-1-1-1-100111121-111-1-100-22000000000001-100
χ2722222-1222-12-1-12-1-1-1-1-2-22-1-121111-2-2-2-2002-222-1-1-2-2111100022111100-1-1-1-1-2-11-1-11100-22000000000001-100
χ2822222-1222-12-1-12-1-1-1-1-2-22-1-121111-2-2-2-200-22-2-2-1-1-2-2111100022111100-1-1-1-121-111-1-1002-200000000000-1100
χ292222-1222-12-122-1-1-1-1-122-122-1222200002222-1-1-1-1-1-1-1-1-1-1222000000-1-10000-122-1-1-1-1000022-1-1-1-1-1000-10000
χ302222-1222-12-122-1-1-1-1-122-122-12222000022-2-211-1-1-1-1-1-1-1-1222000000-1-100001-2-211110000-2-2-111-1-100010000
χ312222-1222-12-122-1-1-1-1-122-122-122220000-2-222-1-1-1-1-1-1-1-1-1-1-2-2-2000000110000-122-1-1-1-10000-2-21111100010000
χ322222-1222-12-122-1-1-1-1-122-122-122220000-2-2-2-211-1-1-1-1-1-1-1-1-2-2-20000001100001-2-211110000221-1-111000-10000
χ332222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-20000222-2-1-1-1-11111112-2-2000000-1-1000012-2-1-1110000-22-1-1-11100010000
χ342222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-2000022-2211-1-11111112-2-2000000-1-10000-1-2211-1-100002-2-11111000-10000
χ352222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-20000-2-22-2-1-1-1-1111111-22200000011000012-2-1-11100002-2111-1-1000-10000
χ362222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-20000-2-2-2211-1-1111111-222000000110000-1-2211-1-10000-221-1-1-1-100010000
χ372-2-222200-2-2-22-2222-2-22−2000022−2−2002-22-20000002−222−2−202−22−2002-22-222−2−200000002-200000002−202−200000
χ382-2-222200-2-2-22-2222-2-22−2000022−2−2002-2-220000002−222−2−20−222−2002-2-2222−2−20000000-220000000−220−2200000
χ392-2-222200-2-2-22-2222-2-22−2000022−2−200-222-20000002−222−2−202−2−2200-222-2−2−2220000000-2200000002−20−2200000
χ402-2-222200-2-2-22-2222-2-22−2000022−2−200-22-220000002−222−2−20−22−2200-22-22−2−22200000002-20000000−2202−200000
χ412-2-222200-2-2-22-2222-2-2−220000−2−222002-22-2000000−22−2−2220−22−22002-22-2−2−22200000002-20000000−220−2200000
χ422-2-222200-2-2-22-2222-2-2−220000−2−222002-2-22000000−22−2−22202−2−22002-2-22−2−2220000000-2200000002−202−200000
χ432-2-222200-2-2-22-2222-2-2−220000−2−22200-222-2000000−22−2−2220−222−200-222-222−2−20000000-220000000−2202−200000
χ442-2-222200-2-2-22-2222-2-2−220000−2−22200-22-22000000−22−2−22202−22−200-22-2222−2−200000002-200000002−20−2200000
χ4544444-2-4-44-24-2-24-2-2-2-200-422-4000044-4-40000002200000000000-2-22200000000000000000000000000000000
χ4644444-2-4-44-24-2-24-2-2-2-200-422-40000-4-444000000220000000000022-2-200000000000000000000000000000000
χ474444-24-4-4-24-244-2-2-2-2-2002-4-420000000044000022000000-400000000-2-2000000000000000002000000000000
χ484444-24-4-4-24-244-2-2-2-2-2002-4-4200000000-4-40000220000004000000002200000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-2-211110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-21111000000000000000222-1-1-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-10000000000000002-2211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-1000000000000000-22-2-1-1110000000000000000000
χ5344-4-44400-4-44-44-44-44-400000000004-40000000000000000000004-40000000000000000000000000000000000
χ5444-4-44400-4-44-44-44-44-40000000000-44000000000000000000000-440000000000000000000000000000000000
χ5544-4-44-200-4242-2-4-22-22000000i6−i6i6−i64-4000000000000i6−i6i6−i600000-220000i6−i6i6−i600000000000000000000000000
χ5644-4-44-200-4242-2-4-22-22000000i6−i6i6−i6-44000000000000i6−i6i6−i6000002-20000−i6i6−i6i600000000000000000000000000
χ5744-4-44-200-4242-2-4-22-22000000−i6i6−i6i64-4000000000000−i6i6−i6i600000-220000−i6i6−i6i600000000000000000000000000
χ5844-4-44-200-4242-2-4-22-22000000−i6i6−i6i6-44000000000000−i6i6−i6i6000002-20000i6−i6i6−i600000000000000000000000000
χ594-44-4444-444-4-4-4-44-4-4400-44-4400000000000000-4400000000000000000000000000000000000000000000000
χ604-44-444-4444-4-4-4-44-4-44004-44-4000000000000004-400000000000000000000000000000000000000000000000
χ614-44-44-24-44-2-422-4-222-200-4-224−2i32i32i3−2i300000000002-200−2i32i32i3−2i300000000000000000000000000000000000000000
χ624-44-44-24-44-2-422-4-222-200-4-2242i3−2i3−2i32i300000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ634-44-44-2-444-2-422-4-222-20042-2-400000000000000-2200000000000000000−2i32i32i3−2i300000000000000000000000000
χ644-44-44-2-444-2-422-4-222-20042-2-400000000000000-22000000000000000002i3−2i3−2i32i300000000000000000000000000
χ654-44-4-244-4-242-4-42-222-20024-4-2000000000000−2i32i32-2000000000000000000000000−2i32i3000000000000000000000
χ664-44-4-244-4-242-4-42-222-20024-4-20000000000002i3−2i32-20000000000000000000000002i3−2i3000000000000000000000
χ674-44-4-24-44-242-4-42-222-200-2-44200000000000000-220000000000000000000000000000000000023−230000000000
χ684-44-4-24-44-242-4-42-222-200-2-44200000000000000-2200000000000000000000000000000000000−23230000000000
χ694-44-4-2-24-4-2-222221-1-11002-22-2−2i32i32i3−2i300000000−2i32i3-1100i3−i3−i3i3000000000000000000i3−i33-30000000000000000000
χ704-44-4-2-24-4-2-222221-1-11002-22-2−2i32i32i3−2i3000000002i3−2i3-1100i3−i3−i3i3000000000000000000−i3i3-330000000000000000000
χ714-44-4-2-24-4-2-222221-1-11002-22-22i3−2i3−2i32i300000000−2i32i3-1100−i3i3i3−i3000000000000000000i3−i3-330000000000000000000
χ724-44-4-2-24-4-2-222221-1-11002-22-22i3−2i3−2i32i3000000002i3−2i3-1100−i3i3i3−i3000000000000000000−i3i33-30000000000000000000
χ734-4-444-200-42-4-224-2-22222−220000−2−222004-40000000022−22−2−22200022−2200-2200−2−22200000000000000000000000000
χ744-4-444-200-42-4-224-2-22222−220000−2−22200-440000000022−22−2−222000−2222002-20022−2−200000000000000000000000000
χ754-4-444-200-42-4-224-2-222−2222000022−2−2004-400000000−222222−2−2000−222200-220022−2−200000000000000000000000000
χ764-4-444-200-42-4-224-2-222−2222000022−2−200-4400000000−222222−2−200022−22002-200−2−22200000000000000000000000000
χ774-4-44-24002-424-4-2-2-22222−2200002222−22−2200004-4000000−22−2−222022−22000000-2200000000000000000000−2200000000
χ784-4-44-24002-424-4-2-2-22222−2200002222−22−220000-44000000−22−2−2220−22220000002-2000000000000000000002−200000000
χ794-4-44-24002-424-4-2-2-222−22220000−22−22222200004-40000002−222−2−20−2222000000-22000000000000000000002−200000000
χ804-4-44-24002-424-4-2-2-222−22220000−22−2222220000-440000002−222−2−2022−220000002-200000000000000000000−2200000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-48004-8-4-884-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-40044-44-442-22-20000002i6−2i62i6−2i600000000000000−i6i6−i6i600000000000000000000000000000000000000000
χ8488-8-8-4-40044-44-442-22-2000000−2i62i6−2i62i600000000000000i6−i6i6−i600000000000000000000000000000000000000000
χ858-88-8-4-4-88-4-444442-2-2200-44-44000000000000002-200000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-422-2-242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ878-8-88-4-400444-44-422-2-2−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000

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