Finite Group Databasebeta

← Group #11885830

Character table — Group #11885830

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12222233446666663466666661212121244444466121212121212121212122222246666888812121212121212121212888822666666612242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111-1-11-1-111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1111-1-11-1-111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111111-1-1-1-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-1111-1-11-1-11111-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1111-1-11-1-11111-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-11111-1-111
χ91111-1-111111111111-1-1-1-1-1111111111-1-11-1-1-1-111-1-1-111-1-1-111111111111-1-111-1-11-111-1-11111-1-111-1-1-1-1-1111-1-1-1-11-1
χ101111-1-111111111111-1-1-1-1-1111111111-1-11-1-1-1-111-1-1-111-1-1-111-1-111111-1-11111-1-11-111-1-1-1-1-1-1-11-1-111-1-1-11-1-11111-11
χ111111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111-1-1-11-1-111-1-1-1-11-111-1-1-1111-1-111111-1
χ121111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-11-1-111111111-1-111-111111-1-1-1-1-11
χ131111-1-111111111111-1-1-1-1-11111111-1-1111-1-1-1-111-1-1-111-1-11-1-111-1-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-11-111-1-1111-111-1-111-11
χ141111-1-111111111111-1-1-1-1-11111111-1-1111-1-1-1-111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1111111-1-111111-1-1-111-1-11-1
χ151111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-111111-11111-1-111-1-111-11-1-1111111-1-111-1-11-1-1-1-1-111-1-1-11
χ161111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-1111-1-1-1111111-1-1-1-111-11-1-111-1-1-1-1-11-1-1111-1-1-111-1-1111-1
χ1722222222-2-22222222-22222222-2-2-2-222220022-200-200-2-2-2-2-20000-20000000022220000000000000000-200-200000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-20022-200-200-2-2-2-220000200000000-2-2-2-20000000000000000200200000000
χ192222222-12222-12-1-1-1222-1-1-1-1-1-1-122222222-1-12-1-1-1-1-1-1-1-1-1222002-1-1-1-10000-1-1-1-122-1-1-1-10000200000-1-1-1-100000000
χ202222222-12222-12-1-1-1222-1-1-1-1-1-1-1222222-2-2-1-1211-111-1-1-1-12-2-200211110000-1-1-1-1-2-211110000-200000-111-100000000
χ212222222-12222-12-1-1-1222-1-1-1-1-1-1-122-2-2-2-222-1-12-1-1-1-1-1-1-1-1-1-2-2-200-211110000111122-1-1-1-10000-200000111100000000
χ222222222-12222-12-1-1-1222-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1211-111-1-1-1-1-22200-2-1-1-1-100001111-2-2111100002000001-1-1100000000
χ232222222-1-2-222-12-1-1-1-222-1-1-1-1-111-2-2222200-1-1-2−i3i31−i3i31111-20000-2−i3−i3i3i30000-1-1-1-100−i3i3−i3i300000000001−i3i3100000000
χ242222222-1-2-222-12-1-1-1-222-1-1-1-1-111-2-2222200-1-1-2i3−i31i3−i31111-20000-2i3i3−i3−i30000-1-1-1-100i3−i3i3−i300000000001i3−i3100000000
χ252222222-1-2-222-12-1-1-1-222-1-1-1-1-111-2-2-2-2-2-200-1-1-2−i3i31−i3i31111200002i3i3−i3−i30000111100−i3i3−i3i30000000000-1i3−i3-100000000
χ262222222-1-2-222-12-1-1-1-222-1-1-1-1-111-2-2-2-2-2-200-1-1-2i3−i31i3−i31111200002−i3−i3i3i30000111100i3−i3i3−i30000000000-1−i3i3-100000000
χ27222222-1222-1-12-122-12-1-122-1-1-122-1-1000022-1-1-122222-1-1-1-1000220000022220000-1-1-1-1-1-1000002-1-1-1-10000-1-1-1-10000
χ28222222-1222-1-12-122-12-1-122-1-1-122-1-1000022-1-1-122222-1-1-1-1000-2-200000-2-2-2-20000-1-1-1-1-1-100000-21111000011110000
χ29222222-1222-1-12-122-12-1-122-1-1-122-1-10000-2-2-1-1-1-2-22-2-2-1-1-1-10002200000-2-2-2-20000111111000002-1-1-1-1000011110000
χ30222222-1222-1-12-122-12-1-122-1-1-122-1-10000-2-2-1-1-1-2-22-2-2-1-1-1-1000-2-2000002222000011111100000-211110000-1-1-1-10000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-222-2-200-2-2200200-2-22220000-20000000022-2-20000000000000000200-200000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-2-2-22200-2-2200200-2-222-20000200000000-2-2220000000000000000-200200000000
χ332222-2-22-12222-12-1-1-1-2-2-211-1-1-1-1-12222-2-22-211-2-1-1111-1-111-222002-1-1-1-10000-1-1112-2-1-1110000-200000111-100000000
χ342222-2-22-12222-12-1-1-1-2-2-211-1-1-1-1-12222-2-2-2211-2111-1-1-1-111-2-2-200211110000-1-111-2211-1-100002000001-1-1-100000000
χ352222-2-22-12222-12-1-1-1-2-2-211-1-1-1-1-122-2-2222-211-2-1-1111-1-1112-2-200-21111000011-1-12-2-1-1110000200000-1-1-1100000000
χ362222-2-22-12222-12-1-1-1-2-2-211-1-1-1-1-122-2-222-2211-2111-1-1-1-11122200-2-1-1-1-1000011-1-1-2211-1-10000-200000-111100000000
χ372222-2-22-1-2-222-12-1-1-12-2-211-1-1-111-2-222-2-200112−i3i3-1i3−i311-1-120000-2−i3−i3i3i30000-1-11100−i3i3i3−i30000000000-1i3−i3100000000
χ382222-2-22-1-2-222-12-1-1-12-2-211-1-1-111-2-222-2-200112i3−i3-1−i3i311-1-120000-2i3i3−i3−i30000-1-11100i3−i3−i3i30000000000-1−i3i3100000000
χ392222-2-22-1-2-222-12-1-1-12-2-211-1-1-111-2-2-2-22200112−i3i3-1i3−i311-1-1-200002i3i3−i3−i3000011-1-100−i3i3i3−i300000000001−i3i3-100000000
χ402222-2-22-1-2-222-12-1-1-12-2-211-1-1-111-2-2-2-22200112i3−i3-1−i3i311-1-1-200002−i3−i3i3i3000011-1-100i3−i3−i3i300000000001i3−i3-100000000
χ412222-2-2-1222-1-12-122-1-211-2-2-1-1-122-1-100002-211122-2-2-2-1-111000220000022-2-20000-11-1-11100000-2-1-1110000-1-1110000
χ422222-2-2-1222-1-12-122-1-211-2-2-1-1-122-1-100002-211122-2-2-2-1-111000-2-200000-2-2220000-11-1-11100000211-1-1000011-1-10000
χ432222-2-2-1222-1-12-122-1-211-2-2-1-1-122-1-10000-22111-2-2-222-1-1110002200000-2-22200001-111-1-100000-2-1-111000011-1-10000
χ442222-2-2-1222-1-12-122-1-211-2-2-1-1-122-1-10000-22111-2-2-222-1-111000-2-20000022-2-200001-111-1-100000211-1-10000-1-1110000
χ4522-2-22-222002-22-2-2-2202-22-22-2-200002i−2i2i−2i002-200000000000000000000−i2i2−i2i22i−2i2i−2i00000022−2−20000000000−i2i2−i2i22−200
χ4622-2-22-222002-22-2-2-2202-22-22-2-200002i−2i2i−2i002-200000000000000000000i2−i2i2−i22i−2i2i−2i000000−2−2220000000000i2−i2i2−i2−2200
χ4722-2-22-222002-22-2-2-2202-22-22-2-20000−2i2i−2i2i002-200000000000000000000−i2i2−i2i2−2i2i−2i2i000000−2−2220000000000−i2i2−i2i2−2200
χ4822-2-22-222002-22-2-2-2202-22-22-2-20000−2i2i−2i2i002-200000000000000000000i2−i2i2−i2−2i2i−2i2i00000022−2−20000000000i2−i2i2−i22−200
χ4922-2-2-2222002-22-2-2-220-22-222-2-200002i−2i−2i2i00-2200000000000000000000−i2i2i2−i22i−2i−2i2i00000022−2−20000000000−i2i2i2−i2−2200
χ5022-2-2-2222002-22-2-2-220-22-222-2-200002i−2i−2i2i00-2200000000000000000000i2−i2−i2i22i−2i−2i2i000000−2−2220000000000i2−i2−i2i22−200
χ5122-2-2-2222002-22-2-2-220-22-222-2-20000−2i2i2i−2i00-2200000000000000000000−i2i2i2−i2−2i2i2i−2i000000−2−2220000000000−i2i2i2−i22−200
χ5222-2-2-2222002-22-2-2-220-22-222-2-20000−2i2i2i−2i00-2200000000000000000000i2−i2−i2i2−2i2i2i−2i00000022−2−20000000000i2−i2−i2i2−2200
χ532-2-220022-22-2-2-22-22200000-2-222-22-2000000000000002-20002-22-202-22-2000000000000002-22-2002-200000000000000
χ542-2-220022-22-2-2-22-22200000-2-222-22-2000000000000002-20002-2-2202-22-200000000000000-22-2200-2200000000000000
χ552-2-220022-22-2-2-22-22200000-2-222-22-2000000000000002-2000-222-20-22-2200000000000000-22-22002-200000000000000
χ562-2-220022-22-2-2-22-22200000-2-222-22-2000000000000002-2000-22-220-22-22000000000000002-22-200-2200000000000000
χ57444444-24-4-4-2-24-244-2-4-2-244-2-2-2-4-422000000-2-2200-40022220000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-200004411-2-2-2-2-2-21111000000000000000000-2-211110000000000000000000000
χ59444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-20000-4-411-222-222111100000000000000000022-1-1-1-10000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222000000112−2i32i32−2i32i3-1-1-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122220000001122i3−2i322i3−2i3-1-1-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ624444-4-4-24-4-4-2-24-244-2422-4-4-2-2-2-4-42200000022-20040022-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-200004-4-1-12-2-222211-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-20000-44-1-12222-2-211-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000-1-1-2−2i32i3-22i3−2i3-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000-1-1-22i3−2i3-2−2i32i3-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-44-2004-4-2-422-204-4-22-22200004i−4i4i−4i00-22000000000000000000000000−2i2i−2i2i0000000000000000000000000000
χ6844-4-44-44-2004-4-2-422-204-4-22-2220000−4i4i−4i4i00-220000000000000000000000002i−2i2i−2i0000000000000000000000000000
χ6944-4-44-4-2400-2242-4-4-20-224-4-2220000000000-2200000000000000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i20000
χ7044-4-44-4-2400-2242-4-4-20-224-4-2220000000000-22000000000000000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i20000
χ7144-4-4-444-2004-4-2-422-20-442-2-22200004i−4i−4i4i002-2000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ7244-4-4-444-2004-4-2-422-20-442-2-2220000−4i4i4i−4i002-20000000000000000000000002i−2i−2i2i0000000000000000000000000000
χ7344-4-4-44-2400-2242-4-4-202-2-44-22200000000002-200000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000
χ7444-4-4-44-2400-2242-4-4-202-2-44-22200000000002-2000000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000
χ754-44-4004400-44-4-44-4400000-44-4000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ764-44-4004400-44-4-44-4400000-44-40000000000000000000000000000000000000000000000−222222−22000000000000000000
χ774-4-4400444-4-4-4-44-44400000-4-44-44-4400000000000000-44000000000000000000000000000000000000000000000000
χ784-4-44004-24-4-4-4242-2-20000022-22-2-44000000000000002-200000000−2i32i32i3−2i3000000000000000000000000000000000000
χ794-4-44004-24-4-4-4242-2-20000022-22-2-44000000000000002-2000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ804-4-44004-2-44-4-4242-2-20000022-2-224-400000000000000-220004-4000-22-22000000000000000000000000000000000000
χ814-4-44004-2-44-4-4242-2-20000022-2-224-400000000000000-22000-440002-22-2000000000000000000000000000000000000
χ824-4-4400-244-422-4-2-44-20000022-2-442-2000000000000002-20000000000000000000000000000000000−2i32i3000000000000
χ834-4-4400-244-422-4-2-44-20000022-2-442-2000000000000002-200000000000000000000000000000000002i3−2i3000000000000
χ844-4-4400-24-4422-4-2-44-20000022-24-4-2200000000000000-22000004-40000000000000000000000000-2200000000000000
χ854-4-4400-24-4422-4-2-44-20000022-24-4-2200000000000000-2200000-4400000000000000000000000002-200000000000000
χ8688-8-88-8-4-400-44-444420-44-442-2-200000000002-200000000000000000000000000000000000000000000000000000000
χ8788-8-8-88-4-400-44-4444204-44-42-2-20000000000-2200000000000000000000000000000000000000000000000000000000
χ888-88-8008-400-884-8-44-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-48004-4-848-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-4004-444-44200000-22-2000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ918-88-800-4-4004-444-44200000-22-200000000000000000000−6i6i0000000000000000000000000000000000000000000000
χ928-8-8800-4-48-8444-44-4200000-2-224-44-400000000000000-22000000000000000000000000000000000000000000000000
χ938-8-8800-4-4-88444-44-4200000-2-22-44-44000000000000002-2000000000000000000000000000000000000000000000000

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