Finite Group Databasebeta

← Group #11876930

Character table — Group #11876930

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order12223344444466666636661212121212121212121212124444121212122466121212121212121224668888121212122424242424242424666121212244412121212888861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111111-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1-11-11-111-1-111-1-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111111-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-1-111-111-1-1-1-111-11-11
χ11111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111111111-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1111-11-11-1-11111-1-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111111111-11-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11111-1-11-1-111-1-1111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1111-1-1-11-1-11-1-111-1-1111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111111-1-1-1-11-11-1-11111-1-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1111-111-111-1-1-1-111-111-1
χ16111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11111-11-111-1-111-1-11-1-11
χ1722222222-2-2-2-2222222222222-2-2-2-222-2-2-2-222-2-2222200000022-2-2-2-22-2220000-2-2-2-2000000000000000000000000000000
χ1822222222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-200000022-2-2-2-2-22-2-200002222000000000000000000000000000000
χ19222222-2-222-2-22222222222-2-222-2-2-2-222-2-222-2-22222000000-2-222-2-2-22-2-2000022-2-2000000000000000000000000000000
χ20222222-2-222-2-22222222222-2-222-2-2-2-222-2-2-2-222-2-2-2-2000000-2-222-2-22-2220000-2-222000000000000000000000000000000
χ2122222-1222222-1-12-122-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000-1-100
χ2222222-1222222-1-12-122-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-10000-2-2-2-2000011111111-1-1-1-1-1-1-2-200000000001100
χ2322222-1222222-1-12-122-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1111111-2-200000000001100
χ2422222-1222222-1-12-122-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-10000-2-2-2-2000011111111111111220000000000-1-100
χ2522222-1-2-2-2-222-1-12-122-1-1-1-1111122-2-2-2-2-1-1000000002-222-2-21111-1-1000022-2-20000-1-1-1-11111-1-1-11112-20000000000-1100
χ2622222-1-2-2-2-222-1-12-122-1-1-1-1111122-2-2-2-2-1-1000000002-222-2-21111-1-10000-2-22200001111-1-1-1-1-1-1-1111-2200000000001-100
χ2722222-1-2-2-2-222-1-12-122-1-1-1-1111122-2-2-2-2-1-100000000-22-2-2221111-1-1000022-2-20000-1-1-1-11111111-1-1-1-2200000000001-100
χ2822222-1-2-2-2-222-1-12-122-1-1-1-1111122-2-2-2-2-1-100000000-22-2-2221111-1-10000-2-22200001111-1-1-1-1111-1-1-12-20000000000-1100
χ292222-1222222222-12-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-10000-1-1-1-1000000002-1-12-1-10022-1-1-1-100000000
χ302222-1222222222-12-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-2-21111-1-1-1-1-1-122-1-10000-1-1-1-100000000-211-21100-2-2111100000000
χ312222-1222222222-12-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-21100001111000000002-1-12-1-100-2-2111100000000
χ322222-1222222222-12-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-21111-2-21111-1-1-1-1-1-1-2-2110000111100000000-211-2110022-1-1-1-100000000
χ332222-1222-2-2-2-222-12-1-1-1-1-1-122-2-211-1-111-2-222-2-2-1-1-1-100−i3i3−i3i3-1-111112-2-1-100001111000000000−i3i30−i3i30000−i3i3−i3i300000000
χ342222-1222-2-2-2-222-12-1-1-1-1-1-122-2-211-1-111-2-222-2-2-1-1-1-100i3−i3i3−i3-1-111112-2-1-100001111000000000i3−i30i3−i30000i3−i3i3−i300000000
χ352222-1222-2-2-2-222-12-1-1-1-1-1-122-2-211-1-111-2-2-2-222111100−i3i3−i3i3-1-11111-22110000-1-1-1-1000000000−i3i30−i3i30000i3−i3i3−i300000000
χ362222-1222-2-2-2-222-12-1-1-1-1-1-122-2-211-1-111-2-2-2-222111100i3−i3i3−i3-1-11111-22110000-1-1-1-1000000000i3−i30i3−i30000−i3i3−i3i300000000
χ372222-12-2-222-2-222-12-1-1-1-1-1-1-2-2221111-1-1-2-222-2-2-1-1-1-100−i3i3i3−i311-1-111-22110000-1-111000000000−i3i30i3−i30000−i3i3i3−i300000000
χ382222-12-2-222-2-222-12-1-1-1-1-1-1-2-2221111-1-1-2-222-2-2-1-1-1-100i3−i3−i3i311-1-111-22110000-1-111000000000i3−i30−i3i30000i3−i3−i3i300000000
χ392222-12-2-222-2-222-12-1-1-1-1-1-1-2-2221111-1-1-2-2-2-222111100−i3i3i3−i311-1-1112-2-1-1000011-1-1000000000−i3i30i3−i30000i3−i3−i3i300000000
χ402222-12-2-222-2-222-12-1-1-1-1-1-1-2-2221111-1-1-2-2-2-222111100i3−i3−i3i311-1-1112-2-1-1000011-1-1000000000i3−i30−i3i30000−i3i3i3−i300000000
χ412222-12-2-2-2-22222-12-1-1-1-1-1-1-2-2-2-2-1-11111222222-1-1-1-12-2-1-1111111-1-1-2-211000011-1-1000000002-1-1-211002-2-1-11100000000
χ422222-12-2-2-2-22222-12-1-1-1-1-1-1-2-2-2-2-1-11111222222-1-1-1-1-2211-1-11111-1-1-2-211000011-1-100000000-2112-1-100-2211-1-100000000
χ432222-12-2-2-2-22222-12-1-1-1-1-1-1-2-2-2-2-1-1111122-2-2-2-211112-2-1-1111111-1-122-1-10000-1-111000000002-1-1-21100-2211-1-100000000
χ442222-12-2-2-2-22222-12-1-1-1-1-1-1-2-2-2-2-1-1111122-2-2-2-21111-2211-1-11111-1-122-1-10000-1-11100000000-2112-1-1002-2-1-11100000000
χ4522-2-22200002-2-2-222-2-22-2-2200002-200002-22i−2i2i−2i2i2i−2i−2i00000000002-20000002-2002i−2i000022-2-200000000000000002i−2i0000
χ4622-2-22200002-2-2-222-2-22-2-2200002-200002-22i−2i2i−2i2i2i−2i−2i00000000002-2000000-22002i−2i0000-2-2220000000000000000−2i2i0000
χ4722-2-22200002-2-2-222-2-22-2-2200002-200002-2−2i2i−2i2i−2i−2i2i2i00000000002-20000002-200−2i2i000022-2-20000000000000000−2i2i0000
χ4822-2-22200002-2-2-222-2-22-2-2200002-200002-2−2i2i−2i2i−2i−2i2i2i00000000002-2000000-2200−2i2i0000-2-22200000000000000002i−2i0000
χ4922-2-2220000-22-2-222-2-22-2-220000-220000-222i−2i−2i2i2i2i−2i−2i0000000000-2200002-20000−2i2i22-2-20000000000000000002i−2i000000
χ5022-2-2220000-22-2-222-2-22-2-220000-220000-222i−2i−2i2i2i2i−2i−2i0000000000-220000-220000−2i2i-2-222000000000000000000−2i2i000000
χ5122-2-2220000-22-2-222-2-22-2-220000-220000-22−2i2i2i−2i−2i−2i2i2i0000000000-2200002-200002i−2i22-2-2000000000000000000−2i2i000000
χ5222-2-2220000-22-2-222-2-22-2-220000-220000-22−2i2i2i−2i−2i−2i2i2i0000000000-220000-2200002i−2i-2-2220000000000000000002i−2i000000
χ5344444-244-4-4-4-4-2-24-244-2-2-2-2-2-222-4-444-4-42200000000000000-2-22222000000000000000000000000000000000000000000
χ5444444-2-4-444-4-4-2-24-244-2-2-2-222-2-2-4-4-4-444220000000000000022-2-222000000000000000000000000000000000000000000
χ554444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-211111100000000000000000000-211-2110000000000000000
χ564444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-42222111111000000000000000000002-1-12-1-10000000000000000
χ574444-2-244-4-4-4-4-2-2-2-2-2-21111-2-22222-2-222220000000000−2i32i3−2i32i311-1-1-1-1000000000000000000000i3−i30i3−i30000000000000000
χ584444-2-244-4-4-4-4-2-2-2-2-2-21111-2-22222-2-2222200000000002i3−2i32i3−2i311-1-1-1-1000000000000000000000−i3i30−i3i30000000000000000
χ594444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-22222-2-2220000000000−2i32i32i3−2i3-1-111-1-1000000000000000000000i3−i30−i3i30000000000000000
χ604444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-22222-2-22200000000002i3−2i3−2i32i3-1-111-1-1000000000000000000000−i3i30i3−i30000000000000000
χ614444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-22222-2-2000000004-4-2-222-1-1-1-11100000000000000000000-2112-1-10000000000000000
χ624444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-22222-2-200000000-4422-2-2-1-1-1-111000000000000000000002-1-1-2110000000000000000
χ6344-4-44-200004-4224-2-4-4-222-200004-40000-22000000000000000000-220000004-400000000-2-2220000000000000000000000
χ6444-4-44-200004-4224-2-4-4-222-200004-40000-22000000000000000000-22000000-440000000022-2-20000000000000000000000
χ6544-4-44-20000-44224-2-4-4-222-20000-4400002-20000000000000000002-200004-4000000-2-22200000000000000000000000000
χ6644-4-44-20000-44224-2-4-4-222-20000-4400002-20000000000000000002-20000-4400000022-2-200000000000000000000000000
χ6744-4-4-2400004-4-4-4-2422-222-20000-2200004-44i−4i4i−4i−2i−2i2i2i0000000000-220000000000−2i2i000000000000000000000000000000
χ6844-4-4-2400004-4-4-4-2422-222-20000-2200004-4−4i4i−4i4i2i2i−2i−2i0000000000-2200000000002i−2i000000000000000000000000000000
χ6944-4-4-240000-44-4-4-2422-222-200002-20000-444i−4i−4i4i−2i−2i2i2i00000000002-200000000002i−2i000000000000000000000000000000
χ7044-4-4-240000-44-4-4-2422-222-200002-20000-44−4i4i4i−4i2i2i−2i−2i00000000002-20000000000−2i2i000000000000000000000000000000
χ714-44-444004i−4i004-4-4-44-444-4-4004i−4i00004i−4i0000000000000000004i−4i00000000000000000000000000000000000000000000
χ724-44-44400−4i4i004-4-4-44-444-4-400−4i4i0000−4i4i000000000000000000−4i4i00000000000000000000000000000000000000000000
χ734-44-44-2004i−4i00-22-424-4-2-22200−2i2i00004i−4i000000000000000000−2i2i00000000000000i6−i6i6−i66−66−60000000000000000000000
χ744-44-44-2004i−4i00-22-424-4-2-22200−2i2i00004i−4i000000000000000000−2i2i00000000000000−i6i6−i6i6−66−660000000000000000000000
χ754-44-44-200−4i4i00-22-424-4-2-222002i−2i0000−4i4i0000000000000000002i−2i00000000000000i6−i6i6−i6−66−660000000000000000000000
χ764-44-44-200−4i4i00-22-424-4-2-222002i−2i0000−4i4i0000000000000000002i−2i00000000000000−i6i6−i6i66−66−60000000000000000000000
χ774-44-4-24004i−4i004-42-4-22-2-222004i−4i0000−2i2i000000−2i32i3−2i32i300000000−2i2i000000000023−2300000000000000000000000000000000
χ784-44-4-24004i−4i004-42-4-22-2-222004i−4i0000−2i2i0000002i3−2i32i3−2i300000000−2i2i0000000000−232300000000000000000000000000000000
χ794-44-4-2400−4i4i004-42-4-22-2-22200−4i4i00002i−2i000000−2i32i3−2i32i3000000002i−2i0000000000−232300000000000000000000000000000000
χ804-44-4-2400−4i4i004-42-4-22-2-22200−4i4i00002i−2i0000002i3−2i32i3−2i3000000002i−2i000000000023−2300000000000000000000000000000000
χ814-4-44444i−4i0000-44-4-4-444-44-44i−4i00004i−4i0000000000000000004i−4i0000000000000000000000000000000000000000000000
χ824-4-4444−4i4i0000-44-4-4-444-44-4−4i4i0000−4i4i000000000000000000−4i4i0000000000000000000000000000000000000000000000
χ834-4-444-24i−4i00002-2-42-44-22-22−2i2i00004i−4i000000000000000000−2i2i0000000000000000i6−i6−i6i66−6−660000000000000000000000
χ844-4-444-24i−4i00002-2-42-44-22-22−2i2i00004i−4i000000000000000000−2i2i0000000000000000−i6i6i6−i6−666−60000000000000000000000
χ854-4-444-2−4i4i00002-2-42-44-22-222i−2i0000−4i4i0000000000000000002i−2i0000000000000000i6−i6−i6i6−666−60000000000000000000000
χ864-4-444-2−4i4i00002-2-42-44-22-222i−2i0000−4i4i0000000000000000002i−2i0000000000000000−i6i6i6−i66−6−660000000000000000000000
χ874-4-44-244i−4i0000-442-42-2-22-224i−4i0000−2i2i0000000023−23−2323000000−2i2i000000−2i32i300000000000000000000000000000000000000
χ884-4-44-244i−4i0000-442-42-2-22-224i−4i0000−2i2i00000000−232323−23000000−2i2i0000002i3−2i300000000000000000000000000000000000000
χ894-4-44-24−4i4i0000-442-42-2-22-22−4i4i00002i−2i0000000023−23−23230000002i−2i0000002i3−2i300000000000000000000000000000000000000
χ904-4-44-24−4i4i0000-442-42-2-22-22−4i4i00002i−2i00000000−232323−230000002i−2i000000−2i32i300000000000000000000000000000000000000
χ9188-8-8-4-400008-844-4-4442-2-220000-440000-440000000000000000002-2000000000000000000000000000000000000000000
χ9288-8-8-4-40000-8844-4-4442-2-2200004-400004-4000000000000000000-22000000000000000000000000000000000000000000
χ938-88-8-4-4008i−8i00-4444-4422-2-200−4i4i0000−4i4i0000000000000000002i−2i00000000000000000000000000000000000000000000
χ948-88-8-4-400−8i8i00-4444-4422-2-2004i−4i00004i−4i000000000000000000−2i2i00000000000000000000000000000000000000000000
χ958-8-88-4-48i−8i00004-4444-42-22-2−4i4i0000−4i4i0000000000000000002i−2i0000000000000000000000000000000000000000000000
χ968-8-88-4-4−8i8i00004-4444-42-22-24i−4i00004i−4i000000000000000000−2i2i0000000000000000000000000000000000000000000000

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