Finite Group Databasebeta

← Group #11872347

Character table — Group #11872347

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666344666121212121212444444121212121212121212121212122444448812121212121212121212226666681212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-111111111-1-1-1
χ9111111111111111-1-1111-1-1111111111-1-1-111-1-1-111-1-1-1-1-1-111-1-11111111-111-1-11-1-111-1-1-1-111-1-111-1-1-1-11111-1
χ10111111111111111-1-1111-1-1111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-11-1-111-1-11-1-1-111-1-11111-1-1-1-11
χ11111111111111111-1-1111-1-111111111-11-1-1-1-111-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-11-1-1-1111-111-1-1-1-111-1-111-1-11
χ12111111111111111-1-1111-1-111111111-11-1-1-1-111-111-1-1-1-1-1-1-1-111111111-11-1-111-11-1-1-111-1-1-1-11111-1-111-1-111-1
χ13111111111111111-1-1111-1-11111-1-1-1-11-1-1-111-1-1-111-1-1-1-11111-1-111-1-1-1-11-111-1-1-111-1-111-1111-1-111-1-111-1-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-11-1-1-111-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-111-1-11111-1-111-1-111-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1111-1-11111-1-1-1-11111-1-111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-1-111-111-1-1-1-111-1-11111-1-1-1-1-11-1-1111-1111-1-1-11-1-11111-1-1-1-111-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-2002-20000-2-2-222-2-2-2200000022-2-200000000-2000002000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-222002-20000-2-2-222-2-22-2000000-2-22200000000200000-2000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-200-2200002-2-2-2-2222-200000022-2-200000000200000-2000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-22200-2200002-2-2-2-222-22000000-2-22200000000-2000002000000000000000
χ2122222-1222-1-1-122-122-1-1-122-1-122222222-1-1-1-1-1-12-1-1-1-1-1-122000000-1-1-1-122-1-1-1-122-1-1-1-1-10-1000000000000000
χ2222222-1222-1-1-122-122-1-1-122-1-1222222-2-2-1-111112-1-1-1-1-1-122000000-1-1-1-1-2-21111-2-2-111110-1000000000000000
χ2322222-1222-1-1-122-122-1-1-122-1-122-2-2-2-222-1-1-1-1-1-12-1-1-1-1-1-1-2-2000000111122-1-1-1-1-2-21111101000000000000000
χ2422222-1222-1-1-122-122-1-1-122-1-122-2-2-2-2-2-2-1-111112-1-1-1-1-1-1-2-20000001111-2-21111221-1-1-1-101000000000000000
χ2522222-1222-1-1-122-1-2-2-1-1-1-2-2-1-12222222-211-1-111-2-1-11111-2-2000000-1-1-1-12-2-1-1112-21-1-11101000000000000000
χ2622222-1222-1-1-122-1-2-2-1-1-1-2-2-1-1222222-221111-1-1-2-1-11111-2-2000000-1-1-1-1-2211-1-1-22111-1-101000000000000000
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-1-122-2-2-2-22-211-1-111-2-1-111112200000011112-2-1-111-22-111-1-10-1000000000000000
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-1-122-2-2-2-2-221111-1-1-2-1-11111220000001111-2211-1-12-2-1-1-1110-1000000000000000
χ2922222-1-2-22-1-1-122-12-2-1-1-12211-2-222-2-200-11−i3i3−i3i3-211-1-111-22000000-1-11100−i3i3−i3i3001−i3i3−i3i30-1000000000000000
χ3022222-1-2-22-1-1-122-12-2-1-1-12211-2-222-2-200-11i3−i3i3−i3-211-1-111-22000000-1-11100i3−i3i3−i3001i3−i3i3−i30-1000000000000000
χ3122222-1-2-22-1-1-122-12-2-1-1-12211-2-2-2-22200-11−i3i3−i3i3-211-1-1112-200000011-1-100−i3i3−i3i300-1i3−i3i3−i301000000000000000
χ3222222-1-2-22-1-1-122-12-2-1-1-12211-2-2-2-22200-11i3−i3i3−i3-211-1-1112-200000011-1-100i3−i3i3−i300-1−i3i3−i3i301000000000000000
χ3322222-1-2-22-1-1-122-1-22-1-1-1-2-211-2-222-2-2001-1−i3i3i3−i321111-1-12-2000000-1-11100−i3i3i3−i300-1−i3i3i3−i301000000000000000
χ3422222-1-2-22-1-1-122-1-22-1-1-1-2-211-2-222-2-2001-1i3−i3−i3i321111-1-12-2000000-1-11100i3−i3−i3i300-1i3−i3−i3i301000000000000000
χ3522222-1-2-22-1-1-122-1-22-1-1-1-2-211-2-2-2-222001-1−i3i3i3−i321111-1-1-2200000011-1-100−i3i3i3−i3001i3−i3−i3i30-1000000000000000
χ3622222-1-2-22-1-1-122-1-22-1-1-1-2-211-2-2-2-222001-1i3−i3−i3i321111-1-1-2200000011-1-100i3−i3−i3i3001−i3i3i3−i30-1000000000000000
χ372222-1222-1222-1-1-122-1-1-1-1-122-1-1000022222222-1-1-1-1-1-1-1002222220000-1-1-1-1-1-1000000020-1-1-1-1-1-1-1-10000000
χ382222-1222-1222-1-1-122-1-1-1-1-122-1-1000022222222-1-1-1-1-1-1-100-2-2-2-2-2-20000-1-1-1-1-1-10000000-20111111110000000
χ392222-1222-1222-1-1-122-1-1-1-1-122-1-10000-2-222-2-2-2-2-1-1-1-1-1-1-1002222-2-200001111110000000-20-1-1-1-111110000000
χ402222-1222-1222-1-1-122-1-1-1-1-122-1-10000-2-222-2-2-2-2-1-1-1-1-1-1-100-2-2-2-22200001111110000000201111-1-1-1-10000000
χ412222-1222-1222-1-1-1-2-2-1-1-11122-1-100002-2-2-222-2-21-1-111110022-2-2220000-11-1-1110000000-20-1-111-1-1110000000
χ422222-1222-1222-1-1-1-2-2-1-1-11122-1-100002-2-2-222-2-21-1-1111100-2-222-2-20000-11-1-11100000002011-1-111-1-10000000
χ432222-1222-1222-1-1-1-2-2-1-1-11122-1-10000-22-2-2-2-2221-1-111110022-2-2-2-200001-111-1-1000000020-1-11111-1-10000000
χ442222-1222-1222-1-1-1-2-2-1-1-11122-1-10000-22-2-2-2-2221-1-1111100-2-2222200001-111-1-10000000-2011-1-1-1-1110000000
χ452-22-2222-2-22-2-22-22002-2-2002-2-222i−2i2i−2i0000000002-2000000002i−2i002i−2i2i−2i000000000000000002i−2i00002-200000
χ462-22-2222-2-22-2-22-22002-2-2002-2-222i−2i2i−2i0000000002-200000000−2i2i002i−2i2i−2i00000000000000000−2i2i0000-2200000
χ472-22-2222-2-22-2-22-22002-2-2002-2-22−2i2i−2i2i0000000002-2000000002i−2i00−2i2i−2i2i000000000000000002i−2i0000-2200000
χ482-22-2222-2-22-2-22-22002-2-2002-2-22−2i2i−2i2i0000000002-200000000−2i2i00−2i2i−2i2i00000000000000000−2i2i00002-200000
χ492-22-222-22-22-2-22-22002-2-200-222-22i−2i−2i2i000000000-220000002-200002i−2i−2i2i0000000000000002-2000000002i−2i000
χ502-22-222-22-22-2-22-22002-2-200-222-22i−2i−2i2i000000000-22000000-2200002i−2i−2i2i000000000000000-2200000000−2i2i000
χ512-22-222-22-22-2-22-22002-2-200-222-2−2i2i2i−2i000000000-220000002-20000−2i2i2i−2i0000000000000002-200000000−2i2i000
χ522-22-222-22-22-2-22-22002-2-200-222-2−2i2i2i−2i000000000-22000000-220000−2i2i2i−2i000000000000000-22000000002i−2i000
χ534444-24-4-4-2444-2-2-24-4-2-2-2-2-2-4-4220000004-40000222-2-222000000000000000000000000000000000000000000
χ544444-24-4-4-2444-2-2-2-44-2-2-222-4-422000000-440000-22222-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-4-2-22222-211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200004-422-2-222211-1-1-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-411122-2-2-2-20000-442222-2-2211-1-1-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111-2-22222000000-22−2i32i3−2i32i32-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111-2-22222000000-222i3−2i32i3−2i32-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-441112222220000002-2−2i32i32i3−2i3-2-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-441112222220000002-22i3−2i3−2i32i3-2-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-444004-44-4-4-4400-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ6444-4-444004-44-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ654-44-44-24-4-4-2224-4-200-22200-22-444i−4i4i−4i000000000-22000000000000−2i2i−2i2i000000000000000000000000000000
χ664-44-44-24-4-4-2224-4-200-22200-22-44−4i4i−4i4i000000000-220000000000002i−2i2i−2i000000000000000000000000000000
χ674-44-44-2-44-4-2224-4-200-222002-24-44i−4i−4i4i0000000002-2000000000000−2i2i2i−2i000000000000000000000000000000
χ684-44-44-2-44-4-2224-4-200-222002-24-4−4i4i4i−4i0000000002-20000000000002i−2i−2i2i000000000000000000000000000000
χ694-44-4-244-424-4-4-22-200-222004-42-20000000000000-22000000004i−4i00000000000000000000000−2i2i00000000000
χ704-44-4-244-424-4-4-22-200-222004-42-20000000000000-2200000000−4i4i000000000000000000000002i−2i00000000000
χ714-44-4-24-4424-4-4-22-200-22200-44-2200000000000002-20000004-400000000000000000000000-220000000000000
χ724-44-4-24-4424-4-4-22-200-22200-44-2200000000000002-2000000-44000000000000000000000002-20000000000000
χ734-4-444400-4-4-44-44400-4-44000000000000000000000000000000022−220000000000000000000000022−22000000000
χ744-4-444400-4-4-44-44400-4-440000000000000000000000000000000−222200000000000000000000000−2222000000000
χ754-4-44-24002-4-442-2-20022-223−23000000000000000000023−230000000022−2200000000000000000000000−226−60000000
χ764-4-44-24002-4-442-2-20022-223−23000000000000000000023−2300000000−2222000000000000000000000002−2−660000000
χ774-4-44-24002-4-442-2-20022-2−23230000000000000000000−23230000000022−2200000000000000000000000−22−660000000
χ784-4-44-24002-4-442-2-20022-2−23230000000000000000000−232300000000−2222000000000000000000000002−26−60000000
χ7988-8-88-40084-44-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4800-4-88-844-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-4444200-22-2000000000000000000000006i−6i000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-4444200-22-200000000000000000000000−6i6i000000000000000000000000000000000000000000
χ838-88-8-4-48-84-444-442002-2-200-444-400000000000002-20000000000000000000000000000000000000000000000
χ848-88-8-4-4-884-444-442002-2-2004-4-440000000000000-220000000000000000000000000000000000000000000000
χ858-8-888-400-844-4-88-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-2-2243−430000000000000000000−232300000000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-2-22−4343000000000000000000023−2300000000000000000000000000000000000000000000

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