Finite Group Databasebeta

← Group #11887109

Character table — Group #11887109

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222223344666666346666666121212122244446612121212121212121212224444668888121212121212121212121212888824666612121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-11111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111
χ91111-1-111111111111-1-1-1-1-1111111111-1-11-1-1-1-1-111-1-111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1111-1-11-11111-1-1111-1
χ101111-1-111111111111-1-1-1-1-1111111111-1-11-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-11-1-111111111-1-1111-111-1-111-1-1-11
χ111111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-1111-11111-1-111-1-111111-111-1-11111-1-111-1-11-1-1-1-1-111-1-11-1
χ121111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-1-1-11-1111111-1-1-1-111111-111-1-1-1-1-1-11-1-1-1111-1-1-111-1-111-11
χ131111-1-111111111111-1-1-1-1-11111111-1-1111-1-1-1-1-111-1-111-1-111-1111-1-111-1-1111111-11-1-1111111-1-111-1-1-11-1-111-1-1-1-1-11
χ141111-1-111111111111-1-1-1-1-11111111-1-1111-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-111111111-11-1-111-1-1-1-11-1-1-111-11-1-1-1-111111-1
χ151111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-111-11-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-1-1111-1-1-1111-1-11111-11
χ161111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11-111-1-1111111-1-111-111111-1-1-1-11-1
χ1722222222-2-22222222-22222222-2-2-2-222220022-2-20000-2-2-2-200-2-2002200002200000000000000000000-2-20000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-20022-2-20000-2-2-2-2002200-2-20000-2-200000000000000000000220000000000
χ192222222-122-1-12-122-1222-1-1-1-1-122-1-1000022-1-1-122222-1-1-1-1220000002222000000-1-1-1-1-1-1000020-1-1-1-10000-1-1-1-10000
χ202222222-122-1-12-122-1222-1-1-1-1-122-1-1000022-1-1-122222-1-1-1-1-2-2000000-2-2-2-2000000-1-1-1-1-1-10000-201111000011110000
χ212222222-122-1-12-122-1222-1-1-1-1-122-1-10000-2-2-1-1-12-2-2-2-2-1-1-1-122000000-2-2-2-2000000111111000020-1-1-1-1000011110000
χ222222222-122-1-12-122-1222-1-1-1-1-122-1-10000-2-2-1-1-12-2-2-2-2-1-1-1-1-2-200000022220000001111110000-2011110000-1-1-1-10000
χ23222222-122222-12-1-1-12-1-122-1-1-1-1-122222222-1-12-1-1-1-1-1-1-1-1-1002222-1-10000-1-1-1-1-1-122-1-1-1-10000020000-1-1-1-100000000
χ24222222-122222-12-1-1-12-1-122-1-1-1-1-1222222-2-2-1-12-11111-1-1-1-10022-2-2-1-10000-1-11111-2-2111100000-20000-1-11100000000
χ25222222-122222-12-1-1-12-1-122-1-1-1-1-122-2-2-2-222-1-12-1-1-1-1-1-1-1-1-100-2-2-2-211000011111122-1-1-1-100000-20000111100000000
χ26222222-122222-12-1-1-12-1-122-1-1-1-1-122-2-2-2-2-2-2-1-12-11111-1-1-1-100-2-22211000011-1-1-1-1-2-21111000002000011-1-100000000
χ27222222-12-2-222-12-1-1-1-2-1-122-1-1-111-2-2222200-1-1-21−i3i3−i3i3111100-2-200-1-10000-1-1−i3−i3i3i300−i3i3−i3i3000000000011−i3i300000000
χ28222222-12-2-222-12-1-1-1-2-1-122-1-1-111-2-2222200-1-1-21i3−i3i3−i3111100-2-200-1-10000-1-1i3i3−i3−i300i3−i3i3−i3000000000011i3−i300000000
χ29222222-12-2-222-12-1-1-1-2-1-122-1-1-111-2-2-2-2-2-200-1-1-21−i3i3−i3i3111100220011000011i3i3−i3−i300−i3i3−i3i30000000000-1-1i3−i300000000
χ30222222-12-2-222-12-1-1-1-2-1-122-1-1-111-2-2-2-2-2-200-1-1-21i3−i3i3−i3111100220011000011−i3−i3i3i300i3−i3i3−i30000000000-1-1−i3i300000000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-222-2-200-2-2220000-2-22200-2200220000-2-200000000000000000000-220000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-2-2-22200-2-2220000-2-222002-200-2-2000022000000000000000000002-20000000000
χ332222-2-22-122-1-12-122-1-2-2-211-1-1-122-1-100002-2111-222-2-2-1-1112200000022-2-20000001-111-1-10000-20-1-1110000-1-1110000
χ342222-2-22-122-1-12-122-1-2-2-211-1-1-122-1-100002-2111-222-2-2-1-111-2-2000000-2-2220000001-111-1-100002011-1-1000011-1-10000
χ352222-2-22-122-1-12-122-1-2-2-211-1-1-122-1-10000-22111-2-2-222-1-11122000000-2-222000000-11-1-1110000-20-1-111000011-1-10000
χ362222-2-22-122-1-12-122-1-2-2-211-1-1-122-1-10000-22111-2-2-222-1-111-2-200000022-2-2000000-11-1-11100002011-1-10000-1-1110000
χ372222-2-2-122222-12-1-1-1-211-2-2-1-1-1-1-12222-2-22-211-21-1-111-1-111002-2-2-2-1-10000111111-2211-1-10000020000-11-1-100000000
χ382222-2-2-122222-12-1-1-1-211-2-2-1-1-1-1-12222-2-2-2211-2111-1-1-1-111002-222-1-1000011-1-1-1-12-2-1-11100000-20000-111100000000
χ392222-2-2-122222-12-1-1-1-211-2-2-1-1-1-1-122-2-2222-211-21-1-111-1-11100-2222110000-1-1-1-1-1-1-2211-1-100000-200001-11100000000
χ402222-2-2-122222-12-1-1-1-211-2-2-1-1-1-1-122-2-222-2211-2111-1-1-1-11100-22-2-2110000-1-111112-2-1-11100000200001-1-1-100000000
χ412222-2-2-12-2-222-12-1-1-1211-2-2-1-1-111-2-222-2-200112-1−i3i3i3−i311-1-100-2200-1-1000011i3i3−i3−i300i3−i3−i3i300000000001-1−i3i300000000
χ422222-2-2-12-2-222-12-1-1-1211-2-2-1-1-111-2-222-2-200112-1i3−i3−i3i311-1-100-2200-1-1000011−i3−i3i3i300−i3i3i3−i300000000001-1i3−i300000000
χ432222-2-2-12-2-222-12-1-1-1211-2-2-1-1-111-2-2-2-22200112-1−i3i3i3−i311-1-1002-200110000-1-1−i3−i3i3i300i3−i3−i3i30000000000-11i3−i300000000
χ442222-2-2-12-2-222-12-1-1-1211-2-2-1-1-111-2-2-2-22200112-1i3−i3−i3i311-1-1002-200110000-1-1i3i3−i3−i300−i3i3i3−i30000000000-11−i3i300000000
χ4522-2-200222-2-2-2-222-2200000-2-222-22-2000000000000002-2002-2002i−2i000000002i−2i2i−2i0000002i2i−2i−2i002-200000000000000
χ4622-2-200222-2-2-2-222-2200000-2-222-22-2000000000000002-2002-200−2i2i00000000−2i2i−2i2i000000−2i−2i2i2i002-200000000000000
χ4722-2-200222-2-2-2-222-2200000-2-222-22-2000000000000002-200-22002i−2i000000002i−2i2i−2i000000−2i−2i2i2i00-2200000000000000
χ4822-2-200222-2-2-2-222-2200000-2-222-22-2000000000000002-200-2200−2i2i00000000−2i2i−2i2i0000002i2i−2i−2i00-2200000000000000
χ492-2-222-222002-22-2-2-2202-22-22-2-200002-22-2002-200000000000000002-2−i2i2−i2i22-20000000000−i2i2−i2i20000000000−i2i2−i2i2−i2i200
χ502-2-222-222002-22-2-2-2202-22-22-2-200002-22-2002-200000000000000002-2i2−i2i2−i22-20000000000i2−i2i2−i20000000000i2−i2i2−i2i2−i200
χ512-2-222-222002-22-2-2-2202-22-22-2-20000-22-22002-20000000000000000-22−i2i2−i2i2-220000000000i2−i2i2−i20000000000−i2i2−i2i2i2−i200
χ522-2-222-222002-22-2-2-2202-22-22-2-20000-22-22002-20000000000000000-22i2−i2i2−i2-220000000000−i2i2−i2i20000000000i2−i2i2−i2−i2i200
χ532-2-22-2222002-22-2-2-220-22-222-2-200002-2-2200-2200000000000000002-2−i2i2i2−i2-220000000000i2−i2i2−i20000000000−i2i2i2−i2−i2i200
χ542-2-22-2222002-22-2-2-220-22-222-2-200002-2-2200-2200000000000000002-2i2−i2−i2i2-220000000000−i2i2−i2i20000000000i2−i2−i2i2i2−i200
χ552-2-22-2222002-22-2-2-220-22-222-2-20000-222-200-220000000000000000-22−i2i2i2−i22-20000000000−i2i2−i2i20000000000−i2i2i2−i2i2−i200
χ562-2-22-2222002-22-2-2-220-22-222-2-20000-222-200-220000000000000000-22i2−i2−i2i22-20000000000i2−i2i2−i20000000000i2−i2−i2i2−i2i200
χ574444444-2-4-4-2-24-244-2-444-2-2-2-2-2-4-422000000-2-22-4000022220000000000000000000000000000000000000000000000
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
χ59444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-20000-4-411-2-22222111100000000000000000022-1-1-1-10000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122220000001122−2i32i3−2i32i3-1-1-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222200000011222i3−2i32i3−2i3-1-1-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ624444-4-44-2-4-4-2-24-244-24-4-422-2-2-2-4-42200000022-24000022-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-200004-4-1-122-2-22211-1-10000000000000000002-2-1-1110000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-20000-44-1-12222-2-211-1-1000000000000000000-2211-1-10000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000-1-1-2-2−2i32i32i3−2i3-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000-1-1-2-22i3−2i3−2i32i3-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ6744-4-40044-44-4-4-444-4400000-4-44-44-4400000000000000-44000000000000000000000000000000000000000000000000
χ6844-4-4004-24-422-4-24-4-20000022-24-4-2200000000000000-22004-40000000000000000000000000000-2200000000000000
χ6944-4-4004-24-422-4-24-4-20000022-24-4-2200000000000000-2200-4400000000000000000000000000002-200000000000000
χ7044-4-4004-2-4422-4-24-4-20000022-2-442-2000000000000002-20000000000000000000000000000000000−2i32i3000000000000
χ7144-4-4004-2-4422-4-24-4-20000022-2-442-2000000000000002-200000000000000000000000000000000002i3−2i3000000000000
χ7244-4-400-244-4-4-424-22-20000022-2-224-400000000000000-220000004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ7344-4-400-244-4-4-424-22-20000022-2-224-400000000000000-22000000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ7444-4-400-24-44-4-424-22-20000022-22-2-44000000000000002-2000000000000000023−23−23230000000000000000000000000000
χ7544-4-400-24-44-4-424-22-20000022-22-2-44000000000000002-20000000000000000−232323−230000000000000000000000000000
χ764-44-4004400-44-4-4-44400000-44-4000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ774-44-4004400-44-4-4-44400000-44-40000000000000000000000000000000000000000000000−222222−22000000000000000000
χ784-4-444-44-200-2242-4-4-204-4-22-2220000000000-22000000000000000000−2i22i2−2i22i200000000000000000000000000i2−i2i2−i20000
χ794-4-444-44-200-2242-4-4-204-4-22-2220000000000-220000000000000000002i2−2i22i2−2i200000000000000000000000000−i2i2−i2i20000
χ804-4-444-4-24004-4-2-422-20-224-4-22200004-44-400-220000000000000000-220000-2200000000000000000000000000000000
χ814-4-444-4-24004-4-2-422-20-224-4-2220000-44-4400-2200000000000000002-200002-200000000000000000000000000000000
χ824-4-44-444-200-2242-4-4-20-442-2-22200000000002-2000000000000000000−2i22i22i2−2i200000000000000000000000000i2−i2−i2i20000
χ834-4-44-444-200-2242-4-4-20-442-2-22200000000002-20000000000000000002i2−2i2−2i22i200000000000000000000000000−i2i2i2−i20000
χ844-4-44-44-24004-4-2-422-202-2-44-22200004-4-44002-20000000000000000-2200002-200000000000000000000000000000000
χ854-4-44-44-24004-4-2-422-202-2-44-2220000-444-4002-200000000000000002-20000-2200000000000000000000000000000000
χ8688-8-800-4-48-8444-4-44200000-2-22-44-44000000000000002-2000000000000000000000000000000000000000000000000
χ8788-8-800-4-4-88444-4-44200000-2-224-44-400000000000000-22000000000000000000000000000000000000000000000000
χ888-88-8008-4004-4-84-88-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4800-884-84-4-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-4004-4444-4200000-22-2000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ918-88-800-4-4004-4444-4200000-22-200000000000000000000−6i6i0000000000000000000000000000000000000000000000
χ928-8-888-8-4-400-44-444420-44-442-2-200000000002-200000000000000000000000000000000000000000000000000000000
χ938-8-88-88-4-400-44-4444204-44-42-2-20000000000-2200000000000000000000000000000000000000000000000000000000

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