Finite Group Databasebeta

← Group #11887519

Character table — Group #11887519

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order122222334466666634666666612121212224424666612121212121212124444446688881212121212126661212128888441212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-11111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-111
χ91111-1-111111111111-1-1-1-1-1111111111-1-11-111-1-1-1-1-1-111-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1111-1-11111-1-111-11
χ101111-1-111111111111-1-1-1-1-1111111111-1-11-111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1111-1-1-1111111-11-1-11111-1-111-1-11-1
χ111111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-111-111111-1-111-1-11111-1-1-11111111-1-1-1111-1-1-1-1-1-111-1-1-11
χ121111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-111-11-1-11111-1-1-1-11111-1-1-1111-1-1-1-1-11-11-1-111-1-111-1-1111-1
χ131111-1-111111111111-1-1-1-1-11111111-1-1111-111-1-1-1-1-1-111-1-1111-111-1-111-1-1111111111-1-1-11111-1-11-111-1-1-1-111-1-1-1-11-1
χ141111-1-111111111111-1-1-1-1-11111111-1-1111-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-11
χ151111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-111-1-111111-1
χ161111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-1-11111111111-1-1-1111111-1-1-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-22222000022-2-200-2-2-2-200-2-200220000220000000000000000-2-200000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2000022-2-200-2-2-2-2002200-2-20000-2-200000000000000002200000000000000
χ192222222-12222-1-12-1-1222-1-1-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1222200-1-10000-1-1-1-1-1-12-1-12-1-1000020-1-10000-1-100000000
χ202222222-12222-1-12-1-1222-1-1-1-1-1-1-1222222-2-211-1-1-1211-1-1-1-1-2-22200-1-10000-1-11111-211-2110000-20-1-100001100000000
χ212222222-12222-1-12-1-1222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-2-2-2-2001100001111112-1-12-1-10000-201100001100000000
χ222222222-12222-1-12-1-1222-1-1-1-1-1-1-122-2-2-2-2-2-211-1-1-1211-1-1-1-122-2-20011000011-1-1-1-1-211-211000020110000-1-100000000
χ232222222-1-2-222-1-12-1-1-222-1-1-1-1-111-2-2222200−i3i3-1-11-2−i3i3111100-2-200-1-10000-1-1−i3−i3i3i30−i3i30−i3i3000000110000−i3i300000000
χ242222222-1-2-222-1-12-1-1-222-1-1-1-1-111-2-2222200i3−i3-1-11-2i3−i3111100-2-200-1-10000-1-1i3i3−i3−i30i3−i30i3−i3000000110000i3−i300000000
χ252222222-1-2-222-1-12-1-1-222-1-1-1-1-111-2-2-2-2-2-200−i3i3-1-11-2−i3i3111100220011000011i3i3−i3−i30−i3i30−i3i3000000-1-10000i3−i300000000
χ262222222-1-2-222-1-12-1-1-222-1-1-1-1-111-2-2-2-2-2-200i3−i3-1-11-2i3−i3111100220011000011−i3−i3i3i30i3−i30i3−i3000000-1-10000−i3i300000000
χ27222222-1222-1-122-12-12-1-122-1-1-122-1-100002222-1-12-122-1-1-1-1000022002222000000-1-1-1-1-1-100000200-1-1-1-100-1-1-1-10000
χ28222222-1222-1-122-12-12-1-122-1-1-122-1-100002222-1-12-122-1-1-1-10000-2-200-2-2-2-2000000-1-1-1-1-1-100000-20011110011110000
χ29222222-1222-1-122-12-12-1-122-1-1-122-1-10000-2-2-2-2-1-12-1-2-2-1-1-1-100002200-2-2-2-200000011111100000200-1-1-1-10011110000
χ30222222-1222-1-122-12-12-1-122-1-1-122-1-10000-2-2-2-2-1-12-1-2-2-1-1-1-10000-2-200222200000011111100000-200111100-1-1-1-10000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-222-2-20000-2-22200-2-222002-200220000-2-200000000000000002-200000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-2-2-2220000-2-22200-2-22200-2200-2-20000220000000000000000-2200000000000000
χ332222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-12222-2-22-2-1-1111-211-1-111-2-2-2200-1-100001111112-1-1-2110000201-10000-1-100000000
χ342222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-12222-2-2-2211111-2-1-1-1-11122-2200-1-1000011-1-1-1-1-2112-1-10000-201-100001100000000
χ352222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-122-2-2222-2-1-1111-211-1-111222-200110000-1-1-1-1-1-12-1-1-2110000-20-1100001100000000
χ362222-2-22-12222-1-12-1-1-2-2-211-1-1-1-1-122-2-222-2211111-2-1-1-1-111-2-22-200110000-1-11111-2112-1-1000020-110000-1-100000000
χ372222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-2-222-2-200−i3i311-12i3−i311-1-1002-200-1-1000011i3i3−i3−i30−i3i30i3−i3000000-110000−i3i300000000
χ382222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-2-222-2-200i3−i311-12−i3i311-1-1002-200-1-1000011−i3−i3i3i30i3−i30−i3i3000000-110000i3−i300000000
χ392222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-2-2-2-22200−i3i311-12i3−i311-1-100-2200110000-1-1−i3−i3i3i30−i3i30i3−i30000001-10000i3−i300000000
χ402222-2-22-1-2-222-1-12-1-12-2-211-1-1-111-2-2-2-22200i3−i311-12−i3i311-1-100-2200110000-1-1i3i3−i3−i30i3−i30−i3i30000001-10000−i3i300000000
χ412222-2-2-1222-1-122-12-1-211-2-2-1-1-122-1-100002-22211-21-2-2-1-1110000220022-2-2000000-1-1-111100000-200-1-11100-1-1110000
χ422222-2-2-1222-1-122-12-1-211-2-2-1-1-122-1-100002-22211-21-2-2-1-1110000-2-200-2-222000000-1-1-11110000020011-1-10011-1-10000
χ432222-2-2-1222-1-122-12-1-211-2-2-1-1-122-1-10000-22-2-211-2122-1-11100002200-2-222000000111-1-1-100000-200-1-1110011-1-10000
χ442222-2-2-1222-1-122-12-1-211-2-2-1-1-122-1-10000-22-2-211-2122-1-1110000-2-20022-2-2000000111-1-1-10000020011-1-100-1-1110000
χ4522-2-22-22200-22-2-2-22202-22-2-22-200002-22-200002-2000000000000002-2−i2i2−i2i22-20000000000−i2−i2i2i20000000000−i2i2−i2i2−i2i200
χ4622-2-22-22200-22-2-2-22202-22-2-22-200002-22-200002-2000000000000002-2i2−i2i2−i22-20000000000i2i2−i2−i20000000000i2−i2i2−i2i2−i200
χ4722-2-22-22200-22-2-2-22202-22-2-22-20000-22-2200002-200000000000000-22−i2i2−i2i2-220000000000i2i2−i2−i20000000000−i2i2−i2i2i2−i200
χ4822-2-22-22200-22-2-2-22202-22-2-22-20000-22-2200002-200000000000000-22i2−i2i2−i2-220000000000−i2−i2i2i20000000000i2−i2i2−i2−i2i200
χ4922-2-2-222200-22-2-2-2220-22-22-22-200002-2-220000-22000000000000002-2−i2i2i2−i2-220000000000i2i2−i2−i20000000000−i2i2i2−i2−i2i200
χ5022-2-2-222200-22-2-2-2220-22-22-22-200002-2-220000-22000000000000002-2i2−i2−i2i2-220000000000−i2−i2i2i20000000000i2−i2−i2i2i2−i200
χ5122-2-2-222200-22-2-2-2220-22-22-22-20000-222-20000-2200000000000000-22−i2i2i2−i22-20000000000−i2−i2i2i20000000000−i2i2i2−i2i2−i200
χ5222-2-2-222200-22-2-2-2220-22-22-22-20000-222-20000-2200000000000000-22i2−i2−i2i22-20000000000i2i2−i2−i20000000000i2−i2−i2i2−i2i200
χ532-2-2200222-2-2-2-222-2200000-2-222-22-2000000000000002-2002i−2i002-2000000002i−2i2i−2i0000002i−2i2i−2i00002-2000000000000
χ542-2-2200222-2-2-2-222-2200000-2-222-22-2000000000000002-2002i−2i00-22000000002i−2i2i−2i000000−2i2i−2i2i0000-22000000000000
χ552-2-2200222-2-2-2-222-2200000-2-222-22-2000000000000002-200−2i2i002-200000000−2i2i−2i2i000000−2i2i−2i2i00002-2000000000000
χ562-2-2200222-2-2-2-222-2200000-2-222-22-2000000000000002-200−2i2i00-2200000000−2i2i−2i2i0000002i−2i2i−2i0000-22000000000000
χ57444444-24-4-4-2-244-24-2-4-2-244-2-2-2-4-42200000000-2-2-420022220000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2000044-2-211-2-2-2-21111000000000000000000-211-2110000000000000000000000
χ59444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-20000-4-42211-2-22211110000000000000000002-1-12-1-10000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222000000−2i32i31122−2i32i3-1-1-1-10000000000000000000i3−i30i3−i30000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122220000002i3−2i311222i3−2i3-1-1-1-10000000000000000000−i3i30−i3i30000000000000000000000
χ624444-4-4-24-4-4-2-244-24-2422-4-4-2-2-2-4-42200000000224-20022-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-200004-4-2-2-1-1222211-1-1000000000000000000-2112-1-10000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-20000-4422-1-122-2-211-1-10000000000000000002-1-1-2110000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000−2i32i3-1-1-2-22i3−2i3-1-1110000000000000000000i3−i30−i3i30000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-214222211122220000002i3−2i3-1-1-2-2−2i32i3-1-1110000000000000000000−i3i30i3−i30000000000000000000000
χ6744-4-44-44-200-4422-4-2-204-4-222-2200004-44-40000-2200000000000000-220000-2200000000000000000000000000000000
χ6844-4-44-44-200-4422-4-2-204-4-222-220000-44-440000-22000000000000002-200002-200000000000000000000000000000000
χ6944-4-44-4-24002-2-4-424-20-224-42-22000000000000-220000000000000000−2i22i2−2i22i200000000000000000000000000i2−i2i2−i20000
χ7044-4-44-4-24002-2-4-424-20-224-42-22000000000000-2200000000000000002i2−2i22i2−2i200000000000000000000000000−i2i2−i2i20000
χ7144-4-4-444-200-4422-4-2-20-442-22-2200004-4-4400002-200000000000000-2200002-200000000000000000000000000000000
χ7244-4-4-444-200-4422-4-2-20-442-22-220000-444-400002-2000000000000002-20000-2200000000000000000000000000000000
χ7344-4-4-44-24002-2-4-424-202-2-442-220000000000002-20000000000000000−2i22i22i2−2i200000000000000000000000000i2−i2−i2i20000
χ7444-4-4-44-24002-2-4-424-202-2-442-220000000000002-200000000000000002i2−2i2−2i22i200000000000000000000000000−i2i2i2−i20000
χ754-44-40044004-44-4-4-44000004-4-4000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ764-44-40044004-44-4-4-44000004-4-40000000000000000000000000000000000000000000000−222222−22000000000000000000
χ774-4-440044-44-4-4-444-4400000-4-44-44-4400000000000000-44000000000000000000000000000000000000000000000000
χ784-4-44004-24-4-4-42-242-20000022-2-224-400000000000000-22004i−4i000000000000−2i2i−2i2i0000000000000000000000000000
χ794-4-44004-24-4-4-42-242-20000022-2-224-400000000000000-2200−4i4i0000000000002i−2i2i−2i0000000000000000000000000000
χ804-4-44004-2-44-4-42-242-20000022-22-2-44000000000000002-2000000000000000023−23−23230000000000000000000000000000
χ814-4-44004-2-44-4-42-242-20000022-22-2-44000000000000002-20000000000000000−232323−230000000000000000000000000000
χ824-4-4400-244-422-44-2-4-20000022-24-4-2200000000000000-220000004-400000000000000000000000000-22000000000000
χ834-4-4400-244-422-44-2-4-20000022-24-4-2200000000000000-22000000-44000000000000000000000000002-2000000000000
χ844-4-4400-24-4422-44-2-4-20000022-2-442-2000000000000002-2000000000000000000000000000000000000−2i32i30000000000
χ854-4-4400-24-4422-44-2-4-20000022-2-442-2000000000000002-20000000000000000000000000000000000002i3−2i30000000000
χ8688-8-88-8-4-4004-4444-420-44-44-22-20000000000002-2000000000000000000000000000000000000000000000000000000
χ8788-8-8-88-4-4004-4444-4204-44-4-22-2000000000000-22000000000000000000000000000000000000000000000000000000
χ888-88-8008-4008-8-44-84-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4800-448-84-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-400-44-44442000002-2-2000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ918-88-800-4-400-44-44442000002-2-200000000000000000000−6i6i0000000000000000000000000000000000000000000000
χ928-8-8800-4-48-8444-4-44200000-2-22-44-44000000000000002-2000000000000000000000000000000000000000000000000
χ938-8-8800-4-4-88444-4-44200000-2-224-44-400000000000000-22000000000000000000000000000000000000000000000000

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