Finite Group Databasebeta

← Group #11885767

Character table — Group #11885767

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order12223344446666663466612121212121212121212222288882266661212121212121222446666666688242424242424242466666622412121212228888664
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
χ311111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11
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
χ9111111-1-1111111111-1111-1-1-1-111-1-11111-1-111111-111-1-1-111-1-1-1-1111-111-1-11111-1-11111-1-1-1-11-111-1-11-1-11-1-1-11111-1-11-1-1
χ10111111-1-1111111111-1111-1-1-1-111-1-11111-1-11111-11-1-111-111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1111-111-1-111-1-1-111
χ11111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-111-1-1-1-1111-111-1-1111111-1-1-1-111111-111-1-1-11-11-1-1-1-1-1-1-111-111
χ12111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-111-11111-1-1111-1-1
χ13111111-1-1111111111-1111-1-1-1-111-1-111-1-11111111-111-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-11-11-1111-1-1-1-1111-11
χ14111111-1-1111111111-1111-1-1-1-111-1-111-1-1111111-11-1-111-111-1-1-1-111-11-1-1111111-1-11111-1-1-1-1-11-1-111-11-1-11-1-111-1-111-11-1
χ15111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-11-111-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111111-111-1-1-111-11111111-1-1-11-1
χ16111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-1-11-1-111-111-1-1-1-111-11-1-111111111-1-1-1-11111-11-1-1111-1-1-11-1-1-1-111-1-11-11
χ1722222222-2-22222222-222222-2-2-2-222-2-222220000000000-2-2-222-2-200-2-2222200000000000000000000000-2-200000000000
χ1822222222-2-22222222-222222-2-2-2-222-2-2-2-2-2-20000000000-2-2-222-2-20022-2-2-2-2000000000000000000000002200000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-222-2-200000000002-2-2-2-22200-2222-2-200000000000000000000000-2200000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-22200000000002-2-2-2-222002-2-2-222000000000000000000000002-200000000000
χ2122222-12222222-1-1-1-12-1-1-12222-1-1-1-1222222000022-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002-1-1-1-1000000000
χ2222222-12222222-1-1-1-12-1-1-12222-1-1-1-12222220000-2-21111-1-1-1-1-1-1-1-2-222-1-1-1-111110000000000-2-2111100-2-1-111000000000
χ2322222-12222222-1-1-1-12-1-1-12222-1-1-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000022-1-1-1-100-21111000000000
χ2422222-12222222-1-1-1-12-1-1-12222-1-1-1-122-2-2-2-20000-2-21111-1-1-1-1-1-1-122-2-21111-1-1-1-10000000000-2-2111100211-1-1000000000
χ2522222-122-2-2222-1-1-1-1-2-1-1-122-2-211-1-1-2-22222000000−i3i3−i3i3111-1-11100-2-2-1-1-1-1−i3−i3i3i3000000000000−i3i3−i3i300011−i3i3000000000
χ2622222-122-2-2222-1-1-1-1-2-1-1-122-2-211-1-1-2-22222000000i3−i3i3−i3111-1-11100-2-2-1-1-1-1i3i3−i3−i3000000000000i3−i3i3−i300011i3−i3000000000
χ2722222-122-2-2222-1-1-1-1-2-1-1-122-2-211-1-1-2-2-2-2-2-2000000−i3i3−i3i3111-1-11100221111i3i3−i3−i3000000000000−i3i3−i3i3000-1-1i3−i3000000000
χ2822222-122-2-2222-1-1-1-1-2-1-1-122-2-211-1-1-2-2-2-2-2-2000000i3−i3i3−i3111-1-11100221111−i3−i3i3i3000000000000i3−i3i3−i3000-1-1−i3i3000000000
χ2922222-1-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-1112222-2-200002-2-1-1111-1-11111222-2-1-111-1-1-1-100000000002-2-1-11100-2-1111000000000
χ3022222-1-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-1112222-2-20000-2211-1-11-1-11111-2-22-2-1-11111110000000000-2211-1-1002-11-1-1000000000
χ3122222-1-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-11122-2-22200002-2-1-1111-1-11111-2-2-2211-1-1111100000000002-2-1-1110021-1-1-1000000000
χ3222222-1-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-11122-2-2220000-2211-1-11-1-1111122-2211-1-1-1-1-1-10000000000-2211-1-100-21-111000000000
χ3322222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2221111-2-222-2-2000000−i3i3i3−i3-11111-1-100-22-1-111−i3−i3i3i3000000000000−i3i3i3−i30001-1i3−i3000000000
χ3422222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2221111-2-222-2-2000000i3−i3−i3i3-11111-1-100-22-1-111i3i3−i3−i3000000000000i3−i3−i3i30001-1−i3i3000000000
χ3522222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2221111-2-2-2-222000000−i3i3i3−i3-11111-1-1002-211-1-1i3i3−i3−i3000000000000−i3i3i3−i3000-11−i3i3000000000
χ3622222-1-2-2-2-2222-1-1-1-12-1-1-1-2-2221111-2-2-2-222000000i3−i3−i3i3-11111-1-1002-211-1-1−i3−i3i3i3000000000000i3−i3−i3i3000-11i3−i3000000000
χ372222-122222-1-1-1222-12-1-1-1-1-1-1-12222-1-1000022222222222-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000000-1-10
χ382222-122222-1-1-1222-12-1-1-1-1-1-1-12222-1-100002222-2-2-2-2-2-22-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-1111111-2-200000000000110
χ392222-122222-1-1-1222-12-1-1-1-1-1-1-12222-1-10000-2-2-2-22222222-1-1-1-1-1-1000000000000-2-211111111-1-1-1-1-1-1-2-200000000000110
χ402222-122222-1-1-1222-12-1-1-1-1-1-1-12222-1-10000-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-1000000000000-2-2111111111111112200000000000-1-10
χ412222-12-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-1000022222-222-2-2-2-1-11111000000000000-2-2-1-1-1-11111-11-1-1112-200000000000-110
χ422222-12-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-100002222-22-2-222-2-1-11111000000000000-2-2-1-1-1-111111-111-1-1-22000000000001-10
χ432222-12-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-10000-2-2-2-22-222-2-2-2-1-11111000000000000221111-1-1-1-1-11-1-111-22000000000001-10
χ442222-12-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-10000-2-2-2-2-22-2-222-2-1-11111000000000000221111-1-1-1-11-111-1-12-200000000000-110
χ452-22-22200-222-2-2-22-2202-2-200002-2002-2000022-2-200000002-200002-20000002-22-20022-2-2000000000000000002-20000000
χ462-22-22200-222-2-2-22-2202-2-200002-2002-2000022-2-200000002-20000-22000000-22-220022-2-200000000000000000-220000000
χ472-22-22200-222-2-2-22-2202-2-200002-2002-20000-2-22200000002-200002-20000002-22-200-2-22200000000000000000-220000000
χ482-22-22200-222-2-2-22-2202-2-200002-2002-20000-2-22200000002-20000-22000000-22-2200-2-222000000000000000002-20000000
χ492-2-22222-200-22-2-2-2220-22-22-200002-2002-22-22−22−20000000002-20000002-22-200002−22−22−222−2−20000000000000002−22−2000
χ502-2-22222-200-22-2-2-2220-22-22-200002-2002-22-2−22−220000000002-20000002-22-20000−22−22−22−2−222000000000000000−22−22000
χ512-2-22222-200-22-2-2-2220-22-22-200002-200-22-222−22−20000000002-2000000-22-2200002−22−22−222−2−2000000000000000−22−22000
χ522-2-22222-200-22-2-2-2220-22-22-200002-200-22-22−22−220000000002-2000000-22-220000−22−22−22−2−2220000000000000002−22−2000
χ532-2-2222-2200-22-2-2-2220-22-2-220000-22002-2-222−22−2000000000-220000002-2-220000−222−22−2−2−2220000000000000002−2−22000
χ542-2-2222-2200-22-2-2-2220-22-2-220000-22002-2-22−22−22000000000-220000002-2-2200002−2−22−2222−2−2000000000000000−222−2000
χ552-2-2222-2200-22-2-2-2220-22-2-220000-2200-222-22−22−2000000000-22000000-222-20000−222−22−2−2−222000000000000000−222−2000
χ562-2-2222-2200-22-2-2-2220-22-2-220000-2200-222-2−22−22000000000-22000000-222-200002−2−22−2222−2−20000000000000002−2−22000
χ574444-2444-4-4-2-2-2444-2-4-2-2-2-2-222-4-4442200000000000000-422-2-22200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-2-2444-24-2-2-222-2-2-4-4-4-4220000000000000042222-2-200000000000000000000000000000000000000000000
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
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-22222-2-2220000000000−2i32i3−2i32i32-1-111-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-22222-2-22200000000002i3−2i32i3−2i32-1-111-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-2000000004-4-2-222211-1-1-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-200000000-4422-2-2211-1-1-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000000000−2i32i32i3−2i3-2-1-1-1-111000000000000000000000000i3−i3−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-222222200000000002i3−2i3−2i32i3-2-1-1-1-111000000000000000000000000−i3i3i3−i30000000000000000
χ6744-4-4440000-4-444-4-440-4-440000000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ6844-4-4440000-4-444-4-440-4-4400000000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ6944-4-4-24000022-24-4-4-2022-200−2i32i3000000000022−22−222200000000000−2i32i300000000000000−222−2i6−i6i6−i60000000000000000000000
χ7044-4-4-24000022-24-4-4-2022-200−2i32i30000000000−222222−2200000000000−2i32i3000000000000002−2−22−i6i6−i6i60000000000000000000000
χ7144-4-4-24000022-24-4-4-2022-2002i3−2i3000000000022−22−2222000000000002i3−2i300000000000000−222−2−i6i6−i6i60000000000000000000000
χ7244-4-4-24000022-24-4-4-2022-2002i3−2i30000000000−222222−22000000000002i3−2i3000000000000002−2−22i6−i6i6−i60000000000000000000000
χ734-44-444004-44-4-4-44-4404-4-40000-4400-44000000000000000-44000000000000000000000000000000000000000000000000
χ744-44-44-2004-44-4-42-22-20-22200002-200-440000000000000002-2000000000000−2i32i32i3−2i300000000000000000000000000000000
χ754-44-44-2004-44-4-42-22-20-22200002-200-440000000000000002-20000000000002i3−2i3−2i32i300000000000000000000000000000000
χ764-44-44-200-444-4-42-22-20-2220000-22004-4000000000000000-2200004-4000000-22-2200000000000000000000000000000000
χ774-44-44-200-444-4-42-22-20-2220000-22004-4000000000000000-220000-440000002-22-200000000000000000000000000000000
χ784-44-4-24004-4-222-44-4-20-2220000-44002-20000000000000002-20000000000000000000000−2i32i32i3−2i30000000000000000000000
χ794-44-4-24004-4-222-44-4-20-2220000-44002-20000000000000002-200000000000000000000002i3−2i3−2i32i30000000000000000000000
χ804-44-4-2400-44-222-44-4-20-22200004-400-22000044-4-40000000-22000000000000000000-2-22200000000000000000000000000
χ814-44-4-2400-44-222-44-4-20-22200004-400-220000-4-4440000000-2200000000000000000022-2-200000000000000000000000000
χ824-4-444-24-400-44-422-2-202-224-40000-22004-44-40000000000000-22000000-22-22000000000000000000000000000000000000
χ834-4-444-24-400-44-422-2-202-224-40000-2200-44-440000000000000-220000002-22-2000000000000000000000000000000000000
χ844-4-444-2-4400-44-422-2-202-22-4400002-2004-4-4400000000000002-2000000-222-2000000000000000000000000000000000000
χ854-4-444-2-4400-44-422-2-202-22-4400002-200-444-400000000000002-20000002-2-22000000000000000000000000000000000000
χ864-4-44-244-4002-22-4-44-202-22-2200004-400000022−2222−22000000000-220000000000000022−22−22−22−2−2220000000000000000000000
χ874-4-44-244-4002-22-4-44-202-22-2200004-4000000−2222−2222000000000-2200000000000000−22222−22−222−2−20000000000000000000000
χ884-4-44-24-44002-22-4-44-202-222-20000-4400000022−2222−220000000002-200000000000000−2222−22−2222−2−20000000000000000000000
χ894-4-44-24-44002-22-4-44-202-222-20000-44000000−2222−22220000000002-20000000000000022−222−22−2−2−2220000000000000000000000
χ9088-8-88-40000-8-88-444-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4000044-4-44420-2-2200−4i34i300000000000000000000000002i3−2i300000000000000000000000000000000000000000000
χ9288-8-8-4-4000044-4-44420-2-22004i3−4i30000000000000000000000000−2i32i300000000000000000000000000000000000000000000
χ938-88-8-4-4008-8-4444-44202-2-200004-4004-4000000000000000-22000000000000000000000000000000000000000000000000
χ948-88-8-4-400-88-4444-44202-2-20000-4400-440000000000000002-2000000000000000000000000000000000000000000000000
χ958-8-88-4-48-8004-4444-420-22-2-440000-4400000000000000000002-20000000000000000000000000000000000000000000000
χ968-8-88-4-4-88004-4444-420-22-24-400004-40000000000000000000-220000000000000000000000000000000000000000000000

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