Finite Group Databasebeta

← Group #11876931

Character table — Group #11876931

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order12223344444466666636661212121212121212121212124444121212124412121212121212121212246688881212121224242424242424241212121212122244661212888861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111
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
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-11-1-1111-1-1-1-111-11-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-11111-1-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-111-1-1-111-1-1111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11-111-1-1-111-1-1-111-1-1111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111-111-1-1-1-111-1-11111-1-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11-1-1111-1-1111-1-1-1-111-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-11-1-11111-1-111-1-111-1-11-1-11
χ1722222222-2-2-2-2222222222222-2-222-2-2-2-2-2-222-2-22222000000-2-222-2-22-2220000-2-2-2-2000000000000000000000000000000
χ1822222222-2-2-2-2222222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-2000000-2-222-2-2-22-2-200002222000000000000000000000000000000
χ19222222-2-222-2-22222222222-2-222-2-222-2-2-2-222-2-22222000000-2-2-2-222-22-2-20000-2-222000000000000000000000000000000
χ20222222-2-222-2-22222222222-2-222-2-222-2-2-2-2-2-222-2-2-2-2000000-2-2-2-2222-222000022-2-2000000000000000000000000000000
χ2122222-122222222-1-12-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-10000-1-1-1-10000000022-1-1-1-12020-1-1-1-100000000
χ2222222-122222222-1-12-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-2-21111-1-1-1-1-1-122-1-10000-1-1-1-100000000-2-21111-20-20111100000000
χ2322222-122222222-1-12-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-211000011110000000022-1-1-1-1-20-20111100000000
χ2422222-122222222-1-12-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-21111-2-21111-1-1-1-1-1-1-2-2110000111100000000-2-211112020-1-1-1-100000000
χ2522222-122-2-2-2-222-1-12-1-1-1-1-122-2-2-1-11111-2-222-2-2-1-1-1-100−i3i3−i3i311-1-1112-2-1-1000011110000000000−i3i3−i3i30000−i3i3−i3i300000000
χ2622222-122-2-2-2-222-1-12-1-1-1-1-122-2-2-1-11111-2-222-2-2-1-1-1-100i3−i3i3−i311-1-1112-2-1-1000011110000000000i3−i3i3−i30000i3−i3i3−i300000000
χ2722222-122-2-2-2-222-1-12-1-1-1-1-122-2-2-1-11111-2-2-2-222111100−i3i3−i3i311-1-111-22110000-1-1-1-10000000000−i3i3−i3i30000i3−i3i3−i300000000
χ2822222-122-2-2-2-222-1-12-1-1-1-1-122-2-2-1-11111-2-2-2-222111100i3−i3i3−i311-1-111-22110000-1-1-1-10000000000i3−i3i3−i30000−i3i3−i3i300000000
χ2922222-1-2-222-2-222-1-12-1-1-1-1-1-2-22211-1-111-2-222-2-2-1-1-1-100−i3i3i3−i31111-1-1-2211000011-1-10000000000−i3i3i3−i30000−i3i3i3−i300000000
χ3022222-1-2-222-2-222-1-12-1-1-1-1-1-2-22211-1-111-2-222-2-2-1-1-1-100i3−i3−i3i31111-1-1-2211000011-1-10000000000i3−i3−i3i30000i3−i3−i3i300000000
χ3122222-1-2-222-2-222-1-12-1-1-1-1-1-2-22211-1-111-2-2-2-222111100−i3i3i3−i31111-1-12-2-1-10000-1-1110000000000−i3i3i3−i30000i3−i3−i3i300000000
χ3222222-1-2-222-2-222-1-12-1-1-1-1-1-2-22211-1-111-2-2-2-222111100i3−i3−i3i31111-1-12-2-1-10000-1-1110000000000i3−i3−i3i30000−i3i3i3−i300000000
χ3322222-1-2-2-2-22222-1-12-1-1-1-1-1-2-2-2-21111-1-1222222-1-1-1-12-2-1-111-1-11111-2-2110000-1-111000000002-2-1-11120-20-1-11100000000
χ3422222-1-2-2-2-22222-1-12-1-1-1-1-1-2-2-2-21111-1-1222222-1-1-1-1-2211-1-1-1-11111-2-2110000-1-11100000000-2211-1-1-202011-1-100000000
χ3522222-1-2-2-2-22222-1-12-1-1-1-1-1-2-2-2-21111-1-122-2-2-2-211112-2-1-111-1-1111122-1-1000011-1-1000000002-2-1-111-202011-1-100000000
χ3622222-1-2-2-2-22222-1-12-1-1-1-1-1-2-2-2-21111-1-122-2-2-2-21111-2211-1-1-1-1111122-1-1000011-1-100000000-2211-1-120-20-1-11100000000
χ372222-12222222-1-122-12-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200000000-1-100
χ382222-12222222-1-122-12-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-10000-2-2-2-2000011111111-1-1-1-1-1-10-20-2000000001100
χ392222-12222222-1-122-12-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-11111110-20-2000000001100
χ402222-12222222-1-122-12-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-10000-2-2-2-2000011111111111111020200000000-1-100
χ412222-12-2-2-2-222-1-122-12-1-1-1-11111-2-2-2-222-1-1000000002-222-2-2-1-11111000022-2-20000-1-1-1-11111-11-1-111020-200000000-1100
χ422222-12-2-2-2-222-1-122-12-1-1-1-11111-2-2-2-222-1-1000000002-222-2-2-1-111110000-2-22200001111-1-1-1-1-11-1-1110-202000000001-100
χ432222-12-2-2-2-222-1-122-12-1-1-1-11111-2-2-2-222-1-100000000-22-2-222-1-11111000022-2-20000-1-1-1-111111-111-1-10-202000000001-100
χ442222-12-2-2-2-222-1-122-12-1-1-1-11111-2-2-2-222-1-100000000-22-2-222-1-111110000-2-22200001111-1-1-1-11-111-1-1020-200000000-1100
χ4522-2-22200002-2-2-2-2-22222-2-2000000002-22-22i−2i2i−2i2i2i−2i−2i0000002-200000000002i−2i2i−2i0000002i2i−2i−2i00000000000000002-20000
χ4622-2-22200002-2-2-2-2-22222-2-2000000002-22-22i−2i2i−2i2i2i−2i−2i0000002-20000000000−2i2i2i−2i000000−2i−2i2i2i0000000000000000-220000
χ4722-2-22200002-2-2-2-2-22222-2-2000000002-22-2−2i2i−2i2i−2i−2i2i2i0000002-200000000002i−2i−2i2i0000002i2i−2i−2i0000000000000000-220000
χ4822-2-22200002-2-2-2-2-22222-2-2000000002-22-2−2i2i−2i2i−2i−2i2i2i0000002-20000000000−2i2i−2i2i000000−2i−2i2i2i00000000000000002-20000
χ4922-2-2220000-22-2-2-2-22222-2-200000000-22-222i−2i−2i2i2i2i−2i−2i000000-22000000002i−2i00−2i2i002i2i−2i−2i0000000000000000002-2000000
χ5022-2-2220000-22-2-2-2-22222-2-200000000-22-222i−2i−2i2i2i2i−2i−2i000000-2200000000−2i2i00−2i2i00−2i−2i2i2i000000000000000000-22000000
χ5122-2-2220000-22-2-2-2-22222-2-200000000-22-22−2i2i2i−2i−2i−2i2i2i000000-22000000002i−2i002i−2i002i2i−2i−2i000000000000000000-22000000
χ5222-2-2220000-22-2-2-2-22222-2-200000000-22-22−2i2i2i−2i−2i−2i2i2i000000-2200000000−2i2i002i−2i00−2i−2i2i2i0000000000000000002-2000000
χ534444-2444-4-4-4-4-2-244-24-2-2-2-2-2-22244-4-4-4-4220000000000000022-2-222000000000000000000000000000000000000000000
χ544444-24-4-444-4-4-2-244-24-2-2-2-222-2-2-4-444-4-422000000000000002222-2-2000000000000000000000000000000000000000000
χ554444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-211111100000000000000000000-2-211110000000000000000
χ564444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-422221111110000000000000000000022-1-1-1-10000000000000000
χ574444-2-244-4-4-4-4-2-2-2-2-2-21111-2-222-2-22222220000000000−2i32i3−2i32i3-1-111-1-10000000000000000000000i3−i3i3−i30000000000000000
χ584444-2-244-4-4-4-4-2-2-2-2-2-21111-2-222-2-222222200000000002i3−2i32i3−2i3-1-111-1-10000000000000000000000−i3i3−i3i30000000000000000
χ594444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-222-2-222220000000000−2i32i32i3−2i3-1-1-1-1110000000000000000000000i3−i3−i3i30000000000000000
χ604444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-222-2-2222200000000002i3−2i3−2i32i3-1-1-1-1110000000000000000000000−i3i3i3−i30000000000000000
χ614444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-2000000004-4-2-22211-1-1-1-100000000000000000000-2211-1-10000000000000000
χ624444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-200000000-4422-2-211-1-1-1-1000000000000000000002-2-1-1110000000000000000
χ6344-4-44-200004-4-4-4224-2-2-22200000000-224-44i−4i4i−4i−2i−2i2i2i000000-22000000000000−2i2i00000000000000000000000000000000
χ6444-4-44-200004-4-4-4224-2-2-22200000000-224-4−4i4i−4i4i2i2i−2i−2i000000-220000000000002i−2i00000000000000000000000000000000
χ6544-4-44-20000-44-4-4224-2-2-222000000002-2-444i−4i−4i4i−2i−2i2i2i0000002-20000000000002i−2i00000000000000000000000000000000
χ6644-4-44-20000-44-4-4224-2-2-222000000002-2-44−4i4i4i−4i2i2i−2i−2i0000002-2000000000000−2i2i00000000000000000000000000000000
χ6744-4-4-2400004-422-4-4-24-2-222000000004-4-2200000000000000-2200000000004i−4i00000000−2i−2i2i2i0000000000000000000000
χ6844-4-4-2400004-422-4-4-24-2-222000000004-4-2200000000000000-220000000000−4i4i000000002i2i−2i−2i0000000000000000000000
χ6944-4-4-240000-4422-4-4-24-2-22200000000-442-2000000000000002-2000000004i−4i000000−2i−2i2i2i00000000000000000000000000
χ7044-4-4-240000-4422-4-4-24-2-22200000000-442-2000000000000002-200000000−4i4i0000002i2i−2i−2i00000000000000000000000000
χ714-44-444004i−4i004-44-4-4-44-44-4004i−4i004i−4i00000000000000000000004i−4i000000000000000000000000000000000000000000
χ724-44-44400−4i4i004-44-4-4-44-44-400−4i4i00−4i4i0000000000000000000000−4i4i000000000000000000000000000000000000000000
χ734-44-44-2004i−4i004-4-22-42-22-22004i−4i00−2i2i00000000−2i32i3−2i32i30000000000−2i2i000000000023−23000000000000000000000000000000
χ744-44-44-2004i−4i004-4-22-42-22-22004i−4i00−2i2i000000002i3−2i32i3−2i30000000000−2i2i0000000000−2323000000000000000000000000000000
χ754-44-44-200−4i4i004-4-22-42-22-2200−4i4i002i−2i00000000−2i32i3−2i32i300000000002i−2i0000000000−2323000000000000000000000000000000
χ764-44-44-200−4i4i004-4-22-42-22-2200−4i4i002i−2i000000002i3−2i32i3−2i300000000002i−2i000000000023−23000000000000000000000000000000
χ774-44-4-24004i−4i00-224-42-4-22-2200−2i2i004i−4i0000000000000000000000−2i2i000000000000i6−i6i6−i66−66−60000000000000000000000
χ784-44-4-24004i−4i00-224-42-4-22-2200−2i2i004i−4i0000000000000000000000−2i2i000000000000−i6i6−i6i6−66−660000000000000000000000
χ794-44-4-2400−4i4i00-224-42-4-22-22002i−2i00−4i4i00000000000000000000002i−2i000000000000i6−i6i6−i6−66−660000000000000000000000
χ804-44-4-2400−4i4i00-224-42-4-22-22002i−2i00−4i4i00000000000000000000002i−2i000000000000−i6i6−i6i66−66−60000000000000000000000
χ814-4-44444i−4i0000-44-44-4-44-4-444i−4i004i−4i00000000000000000000004i−4i00000000000000000000000000000000000000000000
χ824-4-4444−4i4i0000-44-44-4-44-4-44−4i4i00−4i4i0000000000000000000000−4i4i00000000000000000000000000000000000000000000
χ834-4-444-24i−4i0000-442-2-42-222-24i−4i00−2i2i000000000023−23−232300000000−2i2i0000−2i32i300000000000000000000000000000000000000
χ844-4-444-24i−4i0000-442-2-42-222-24i−4i00−2i2i0000000000−232323−2300000000−2i2i00002i3−2i300000000000000000000000000000000000000
χ854-4-444-2−4i4i0000-442-2-42-222-2−4i4i002i−2i000000000023−23−2323000000002i−2i00002i3−2i300000000000000000000000000000000000000
χ864-4-444-2−4i4i0000-442-2-42-222-2−4i4i002i−2i0000000000−232323−23000000002i−2i0000−2i32i300000000000000000000000000000000000000
χ874-4-44-244i−4i00002-2-442-4-222-2−2i2i004i−4i0000000000000000000000−2i2i000000000000006−6−66i6−i6−i6i60000000000000000000000
χ884-4-44-244i−4i00002-2-442-4-222-2−2i2i004i−4i0000000000000000000000−2i2i00000000000000−666−6−i6i6i6−i60000000000000000000000
χ894-4-44-24−4i4i00002-2-442-4-222-22i−2i00−4i4i00000000000000000000002i−2i000000000000006−6−66−i6i6i6−i60000000000000000000000
χ904-4-44-24−4i4i00002-2-442-4-222-22i−2i00−4i4i00000000000000000000002i−2i00000000000000−666−6i6−i6−i6i60000000000000000000000
χ9188-8-8-4-400008-84444-4-422-2-200000000-44-44000000000000002-20000000000000000000000000000000000000000000000
χ9288-8-8-4-40000-884444-4-422-2-2000000004-44-400000000000000-220000000000000000000000000000000000000000000000
χ938-88-8-4-4008i−8i00-44-44442-22-200−4i4i00−4i4i00000000000000000000002i−2i000000000000000000000000000000000000000000
χ948-88-8-4-400−8i8i00-44-44442-22-2004i−4i004i−4i0000000000000000000000−2i2i000000000000000000000000000000000000000000
χ958-8-88-4-48i−8i00004-44-4442-2-22−4i4i00−4i4i00000000000000000000002i−2i00000000000000000000000000000000000000000000
χ968-8-88-4-4−8i8i00004-44-4442-2-224i−4i004i−4i0000000000000000000000−2i2i00000000000000000000000000000000000000000000

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