Finite Group Databasebeta

← Group #11887164

Character table — Group #11887164

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order1222334444666666346661212121212121212121222228888226666121212121212122244666666668824242424242424246666664441212121244888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-11111111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ9111111-1-1111111111-1111-1-111-1-1-1-11111-1-111111-111-1-1-111-1-1-1-1111-111-1-11111-1-11111-1-1-1-11-111-1-1-11-11-1-1-11111-1-11-1-1
χ10111111-1-1111111111-1111-1-111-1-1-1-11111-1-11111-11-1-111-111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111-111-111-1-111-1-1-111
χ11111111-1-1111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-1-111-1-1-1-1111-111-1-1111111-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1-111-111
χ12111111-1-1111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-11-11111-1-1111-1-1
χ13111111-1-1111111111-1111-1-111-1-1-1-111-1-11111111-111-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1111-1-1-1-1111-11
χ14111111-1-1111111111-1111-1-111-1-1-1-111-1-1111111-11-1-111-111-1-1-1-111-11-1-1111111-1-11111-1-1-1-1-11-1-111-1-11-11-1-111-1-111-11-1
χ15111111-1-1111111111-1111-1-111-1-1-1-111-1-111-1-1-1-11-111-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111111-111-1-11-11-11111111-1-1-11-1
χ16111111-1-1111111111-1111-1-111-1-1-1-111-1-111-1-1-1-1-11-1-111-111-1-1-1-111-11-1-111111111-1-1-1-11111-11-1-111-11-1-11-1-1-1-111-1-11-11
χ1722222222-2-22222222-222222-2-222-2-2-2-222220000000000-2-2-222-2-200-2-2222200000000000000000000000-2-200000000000
χ1822222222-2-22222222-222222-2-222-2-2-2-2-2-2-2-20000000000-2-2-222-2-20022-2-2-2-2000000000000000000000002200000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-222-2-222-2-200000000002-2-2-2-22200-2222-2-200000000000000000000000-2200000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-222-2-2-2-22200000000002-2-2-2-222002-2-2-222000000000000000000000002-200000000000
χ2122222-1222222-1-1-12-12-1-1-122-1-1-1-122222222000022-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-1200-1-1-1-1000000000
χ2222222-1222222-1-1-12-12-1-1-122-1-1-1-1222222220000-2-21111-1-1-1-1-1-1-1-2-222-1-1-1-111110000000000-2-21111-200-1-111000000000
χ2322222-1222222-1-1-12-12-1-1-122-1-1-1-12222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000022-1-1-1-1-2001111000000000
χ2422222-1222222-1-1-12-12-1-1-122-1-1-1-12222-2-2-2-20000-2-21111-1-1-1-1-1-1-122-2-21111-1-1-1-10000000000-2-2111120011-1-1000000000
χ2522222-122-2-222-1-1-12-1-2-1-1-12211-1-1-2-2-2-22222000000−i3i3−i3i3111-1-11100-2-2-1-1-1-1−i3−i3i3i3000000000000−i3i3−i3i300011−i3i3000000000
χ2622222-122-2-222-1-1-12-1-2-1-1-12211-1-1-2-2-2-22222000000i3−i3i3−i3111-1-11100-2-2-1-1-1-1i3i3−i3−i3000000000000i3−i3i3−i300011i3−i3000000000
χ2722222-122-2-222-1-1-12-1-2-1-1-12211-1-1-2-2-2-2-2-2-2-2000000−i3i3−i3i3111-1-11100221111i3i3−i3−i3000000000000−i3i3−i3i3000-1-1i3−i3000000000
χ2822222-122-2-222-1-1-12-1-2-1-1-12211-1-1-2-2-2-2-2-2-2-2000000i3−i3i3−i3111-1-11100221111−i3−i3i3i3000000000000i3−i3i3−i3000-1-1−i3i3000000000
χ2922222-1-2-22222-1-1-12-1-2-1-1-1-2-2-1-111-2-22222-2-200002-2-1-1111-1-11111222-2-1-111-1-1-1-100000000002-2-1-111-200-1111000000000
χ3022222-1-2-22222-1-1-12-1-2-1-1-1-2-2-1-111-2-22222-2-20000-2211-1-11-1-11111-2-22-2-1-11111110000000000-2211-1-1200-11-1-1000000000
χ3122222-1-2-22222-1-1-12-1-2-1-1-1-2-2-1-111-2-222-2-22200002-2-1-1111-1-11111-2-2-2211-1-1111100000000002-2-1-1112001-1-1-1000000000
χ3222222-1-2-22222-1-1-12-1-2-1-1-1-2-2-1-111-2-222-2-2220000-2211-1-11-1-1111122-2211-1-1-1-1-1-10000000000-2211-1-1-2001-111000000000
χ3322222-1-2-2-2-222-1-1-12-12-1-1-1-2-2111122-2-222-2-2000000−i3i3i3−i3-11111-1-100-22-1-111−i3−i3i3i3000000000000−i3i3i3−i30001-1i3−i3000000000
χ3422222-1-2-2-2-222-1-1-12-12-1-1-1-2-2111122-2-222-2-2000000i3−i3−i3i3-11111-1-100-22-1-111i3i3−i3−i3000000000000i3−i3−i3i30001-1−i3i3000000000
χ3522222-1-2-2-2-222-1-1-12-12-1-1-1-2-2111122-2-2-2-222000000−i3i3i3−i3-11111-1-1002-211-1-1i3i3−i3−i3000000000000−i3i3i3−i3000-11−i3i3000000000
χ3622222-1-2-2-2-222-1-1-12-12-1-1-1-2-2111122-2-2-2-222000000i3−i3−i3i3-11111-1-1002-211-1-1−i3−i3i3i3000000000000i3−i3−i3i3000-11i3−i3000000000
χ372222-122222-1-1222-1-12-1-1-1-1-12222-1-1-1-1000022222222222-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000000-1-10
χ382222-122222-1-1222-1-12-1-1-1-1-12222-1-1-1-100002222-2-2-2-2-2-22-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-11111110-2-20000000000110
χ392222-122222-1-1222-1-12-1-1-1-1-12222-1-1-1-10000-2-2-2-22222222-1-1-1-1-1-1000000000000-2-211111111-1-1-1-1-1-10-2-20000000000110
χ402222-122222-1-1222-1-12-1-1-1-1-12222-1-1-1-10000-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-1000000000000-2-2111111111111110220000000000-1-10
χ412222-12-2-222-1-1222-1-1-2-1-1-11122-2-211-1-1000022222-222-2-2-2-1-11111000000000000-2-2-1-1-1-11111-11-1-11102-20000000000-110
χ422222-12-2-222-1-1222-1-1-2-1-1-11122-2-211-1-100002222-22-2-222-2-1-11111000000000000-2-2-1-1-1-111111-111-1-10-2200000000001-10
χ432222-12-2-222-1-1222-1-1-2-1-1-11122-2-211-1-10000-2-2-2-22-222-2-2-2-1-11111000000000000221111-1-1-1-1-11-1-1110-2200000000001-10
χ442222-12-2-222-1-1222-1-1-2-1-1-11122-2-211-1-10000-2-2-2-2-22-2-222-2-1-11111000000000000221111-1-1-1-11-111-1-102-20000000000-110
χ4522-2-2222-2002-2-22-2-2202-2-22-2002-200002-22-2−i2−i2i2i20000000002-20000002-22-20000−i2i2−i2−i2i2i2−i2−i2i2i2000000000000000−i2i2−i2i2000
χ4622-2-2222-2002-2-22-2-2202-2-22-2002-200002-22-2i2i2−i2−i20000000002-20000002-22-20000i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000i2−i2i2−i2000
χ4722-2-2222-2002-2-22-2-2202-2-22-2002-20000-22-22−i2−i2i2i20000000002-2000000-22-220000−i2i2−i2−i2i2i2−i2−i2i2i2000000000000000i2−i2i2−i2000
χ4822-2-2222-2002-2-22-2-2202-2-22-2002-20000-22-22i2i2−i2−i20000000002-2000000-22-220000i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000−i2i2−i2i2000
χ4922-2-222-22002-2-22-2-2202-2-2-2200-2200002-2-22−i2−i2i2i2000000000-220000002-2-220000i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000−i2i2i2−i2000
χ5022-2-222-22002-2-22-2-2202-2-2-2200-2200002-2-22i2i2−i2−i2000000000-220000002-2-220000−i2i2i2i2−i2−i2−i2−i2i2i2000000000000000i2−i2−i2i2000
χ5122-2-222-22002-2-22-2-2202-2-2-2200-220000-222-2−i2−i2i2i2000000000-22000000-222-20000i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000i2−i2−i2i2000
χ5222-2-222-22002-2-22-2-2202-2-2-2200-220000-222-2i2i2−i2−i2000000000-22000000-222-20000−i2i2i2i2−i2−i2−i2−i2i2i2000000000000000−i2i2i2−i2000
χ532-22-222002-2-22-2-22-220-22-2002-200002-200002i−2i2i−2i00000002-200002-20000002-22-2002i−2i2i−2i000000000000000002i−2i0000000
χ542-22-222002-2-22-2-22-220-22-2002-200002-200002i−2i2i−2i00000002-20000-22000000-22-22002i−2i2i−2i00000000000000000−2i2i0000000
χ552-22-222002-2-22-2-22-220-22-2002-200002-20000−2i2i−2i2i00000002-200002-20000002-22-200−2i2i−2i2i00000000000000000−2i2i0000000
χ562-22-222002-2-22-2-22-220-22-2002-200002-20000−2i2i−2i2i00000002-20000-22000000-22-2200−2i2i−2i2i000000000000000002i−2i0000000
χ574444-2444-4-4-2-2444-2-2-4-2-2-2-2-2-4-444222200000000000000-422-2-22200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-2444-2-24-2-2-222-4-4-4-4-2-2220000000000000042222-2-200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-21111110000000000000000000000-2-211110000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-42222-2111111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-222220000000000−2i32i3−2i32i32-1-111-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-2222200000000002i3−2i32i3−2i32-1-111-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-411122-2-22222-2-2000000004-4-2-222211-1-1-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-411122-2-22222-2-200000000-4422-2-2211-1-1-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-2220000000000−2i32i32i3−2i3-2-1-1-1-111000000000000000000000000i3−i3−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-22200000000002i3−2i3−2i32i3-2-1-1-1-111000000000000000000000000−i3i3i3−i30000000000000000
χ6744-4-44-24-4004-42-22-4-20-2224-400-2200004-44-40000000000000-22000000-22-22000000000000000000000000000000000000
χ6844-4-44-24-4004-42-22-4-20-2224-400-220000-44-440000000000000-220000002-22-2000000000000000000000000000000000000
χ6944-4-44-2-44004-42-22-4-20-222-44002-200004-4-4400000000000002-2000000-222-2000000000000000000000000000000000000
χ7044-4-44-2-44004-42-22-4-20-222-44002-20000-444-400000000000002-20000002-2-22000000000000000000000000000000000000
χ7144-4-4-244-400-22-44-42-20-222-22004-400000000−2i2−2i22i22i2000000000-2200000000000000−2i22i2i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ7244-4-4-244-400-22-44-42-20-222-22004-4000000002i22i2−2i2−2i2000000000-22000000000000002i2−2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ7344-4-4-24-4400-22-44-42-20-2222-200-4400000000−2i2−2i22i22i20000000002-2000000000000002i2−2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ7444-4-4-24-4400-22-44-42-20-2222-200-44000000002i22i2−2i2−2i20000000002-200000000000000−2i22i2−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ754-44-44400-44-44-4-44-440-44-400-440000-44000000000000000-44000000000000000000000000000000000000000000000000
χ764-44-44-2004-4-4422-2-4-202-2200-2200004-4000000000000000-2200004-4000000-22-2200000000000000000000000000000000
χ774-44-44-2004-4-4422-2-4-202-2200-2200004-4000000000000000-220000-440000002-22-200000000000000000000000000000000
χ784-44-44-200-44-4422-2-4-202-22002-20000-440000000000000002-2000000000000−2i32i32i3−2i300000000000000000000000000000000
χ794-44-44-200-44-4422-2-4-202-22002-20000-440000000000000002-20000000000002i3−2i3−2i32i300000000000000000000000000000000
χ804-44-4-24004-42-2-4-442-202-22004-40000-2200004i−4i4i−4i0000000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ814-44-4-24004-42-2-4-442-202-22004-40000-220000−4i4i−4i4i0000000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ824-44-4-2400-442-2-4-442-202-2200-4400002-20000000000000002-2000000000000000000000023−2323−230000000000000000000000
χ834-44-4-2400-442-2-4-442-202-2200-4400002-20000000000000002-20000000000000000000000−2323−23230000000000000000000000
χ844-4-44440000-4-44-4-4440-4-440000000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ854-4-44440000-4-44-4-4440-4-4400000000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ864-4-44-240000224-4-4-2-2022-2000000−2i32i300000022−22−222200000000000−2i32i300000000000000−222−2i6−i6−i6i60000000000000000000000
χ874-4-44-240000224-4-4-2-2022-2000000−2i32i3000000−222222−2200000000000−2i32i3000000000000002−2−22−i6i6i6−i60000000000000000000000
χ884-4-44-240000224-4-4-2-2022-20000002i3−2i300000022−22−2222000000000002i3−2i300000000000000−222−2−i6i6i6−i60000000000000000000000
χ894-4-44-240000224-4-4-2-2022-20000002i3−2i3000000−222222−22000000000002i3−2i3000000000000002−2−22i6−i6−i6i60000000000000000000000
χ9088-8-8-4-48-800-444-444202-2-2-4400-440000000000000000000002-20000000000000000000000000000000000000000000000
χ9188-8-8-4-4-8800-444-444202-2-24-4004-4000000000000000000000-220000000000000000000000000000000000000000000000
χ928-88-8-4-4008-84-444-4420-22-200-440000-440000000000000002-2000000000000000000000000000000000000000000000000
χ938-88-8-4-400-884-444-4420-22-2004-400004-4000000000000000-22000000000000000000000000000000000000000000000000
χ948-8-888-40000-8-8-4448-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000044-444-420-2-22000000−4i34i30000000000000000000002i3−2i300000000000000000000000000000000000000000000
χ968-8-88-4-4000044-444-420-2-220000004i3−4i3000000000000000000000−2i32i300000000000000000000000000000000000000000000

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