Finite Group Databasebeta

← Group #11873329

Character table — Group #11873329

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666663446661212121212124444441212121212121212121212121224444488121212121212121212124468121212121212121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-111111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-11111-1-1-1-1111111-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1111111111111-1-1-1
χ9111111111111111-1-1111-1-1111111111-1-1-111-1-1-111-1-1-1-1-111-1-1-1111111-1111-1-11-1-1-1-1-111-111-1-111-1-1-1-11111-1
χ10111111111111111-1-1111-1-1111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-111-1-11111-1111-1-11-1-1111-1-1-111-1-1-1-11111-1-1-1-11
χ11111111111111111-1-1111-1-111111111-11-1-1-1-111-111-1-1-1-1-111-1-1-1-1-111111-1-1-111-11-11-1-111-1-1-111-1-111-1-111-1-11
χ12111111111111111-1-1111-1-111111111-11-1-1-1-111-111-1-1-1-1-1-1-1-1111111111-1-1-111-11-1-111-1-1-1-1-11111-1-111-1-111-1
χ13111111111111111-1-1111-1-11111-1-1-1-11-1-1-111-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-111-1-1-1111-1-11111-1-111-1-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-11-1-1-111-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-1111-1-1-111111-1-11-1-111-1-111-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111-111-1-111111-1-1-1-11111-1-111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-1-111-111-1-1-1-11-1-111111-1-1-1-11-1-1-1111-11-111-1-1111-1-111-1-1-1-111-1-11
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-2002-200002-2-222-2-2-2002000022-2-200000000-2000002000000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-222002-200002-2-222-2-2200-20000-2-22200000000200000-2000000000000000
χ19222222-2-22222222-2222222-2-2-2-222-2-200-220000-2-2-2-2-222200-2000022-2-200000000200000-2000000000000000
χ20222222-2-22222222-2222222-2-2-2-2-2-22200-220000-2-2-2-2-222-20020000-2-22200000000-2000002000000000000000
χ2122222-1222-1-122-1-122-1-1-1222-1-12222222-1-1-1-1-1-12-1-1-1-1-1-120020000-1-1-1-122-1-1-1-122-100000-1-1-1-1-100000000000
χ2222222-1222-1-122-1-122-1-1-1222-1-122222-2-2-1-111112-1-1-1-1-1-120020000-1-1-1-1-2-21111-2-2-100000-1111100000000000
χ2322222-1222-1-122-1-122-1-1-1222-1-12-2-2-2-222-1-1-1-1-1-12-1-1-1-1-1-1-200-20000111122-1-1-1-1-2-21000001111100000000000
χ2422222-1222-1-122-1-122-1-1-1222-1-12-2-2-2-2-2-2-1-111112-1-1-1-1-1-1-200-200001111-2-21111221000001-1-1-1-100000000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-2-22-1-1222222-211-1-111-2-1-11111-200-20000-1-1-1-1-22-1-1112-21000001-1-11100000000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-2-22-1-122222-221111-1-1-2-1-11111-200-20000-1-1-1-12-211-1-1-22100000111-1-100000000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-22-211-1-111-2-1-11111200200001111-22-1-111-22-100000-111-1-100000000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2-221111-1-1-2-1-111112002000011112-211-1-12-2-100000-1-1-11100000000000
χ2922222-1-2-22-1-122-1-12-2-1-1-1-2-2-211-222-2-200-11−i3i3−i3i3211-1-111-20020000-1-11100−i3i3−i3i300100000-1−i3i3−i3i300000000000
χ3022222-1-2-22-1-122-1-12-2-1-1-1-2-2-211-222-2-200-11i3−i3i3−i3211-1-111-20020000-1-11100i3−i3i3−i300100000-1i3−i3i3−i300000000000
χ3122222-1-2-22-1-122-1-12-2-1-1-1-2-2-211-2-2-22200-11−i3i3−i3i3211-1-111200-2000011-1-100−i3i3−i3i300-1000001i3−i3i3−i300000000000
χ3222222-1-2-22-1-122-1-12-2-1-1-1-2-2-211-2-2-22200-11i3−i3i3−i3211-1-111200-2000011-1-100i3−i3i3−i300-1000001−i3i3−i3i300000000000
χ3322222-1-2-22-1-122-1-1-22-1-1-122-211-222-2-2001-1−i3i3i3−i3-21111-1-1200-20000-1-11100−i3i3i3−i300-1000001−i3i3i3−i300000000000
χ3422222-1-2-22-1-122-1-1-22-1-1-122-211-222-2-2001-1i3−i3−i3i3-21111-1-1200-20000-1-11100i3−i3−i3i300-1000001i3−i3−i3i300000000000
χ3522222-1-2-22-1-122-1-1-22-1-1-122-211-2-2-222001-1−i3i3i3−i3-21111-1-1-2002000011-1-100−i3i3i3−i300100000-1i3−i3−i3i300000000000
χ3622222-1-2-22-1-122-1-1-22-1-1-122-211-2-2-222001-1i3−i3−i3i3-21111-1-1-2002000011-1-100i3−i3−i3i300100000-1−i3i3i3−i300000000000
χ372222-1222-122-1-12-122-1-1-1-1-1-122-1000022222222-1-1-1-1-1-1-1022022220000-1-1-1-1-1-10002-1-1-1-100000-1-1-1-10000000
χ382222-1222-122-1-12-122-1-1-1-1-1-122-1000022222222-1-1-1-1-1-1-10-2-20-2-2-2-20000-1-1-1-1-1-1000-211110000011110000000
χ392222-1222-122-1-12-122-1-1-1-1-1-122-10000-2-222-2-2-2-2-1-1-1-1-1-1-1022022-2-20000111111000-2-1-1-1-10000011110000000
χ402222-1222-122-1-12-122-1-1-1-1-1-122-10000-2-222-2-2-2-2-1-1-1-1-1-1-10-2-20-2-22200001111110002111100000-1-1-1-10000000
χ412222-1222-122-1-12-1-2-2-1-1-111-122-100002-2-2-222-2-21-1-111110220-2-22200001-1-1-111000-211-1-100000-1-1110000000
χ422222-1222-122-1-12-1-2-2-1-1-111-122-100002-2-2-222-2-21-1-111110-2-2022-2-200001-1-1-1110002-1-1110000011-1-10000000
χ432222-1222-122-1-12-1-2-2-1-1-111-122-10000-22-2-2-2-2221-1-111110220-2-2-2-20000-1111-1-1000211-1-10000011-1-10000000
χ442222-1222-122-1-12-1-2-2-1-1-111-122-10000-22-2-2-2-2221-1-111110-2-2022220000-1111-1-1000-2-1-11100000-1-1110000000
χ452-2-22222-2-2-2-22-222002-2-200-22-222i−2i2i−2i0000000002-2000002i−2i000002i−2i2i−2i0000000000002i−2i000000000002-2000
χ462-2-22222-2-2-2-22-222002-2-200-22-222i−2i2i−2i0000000002-200000−2i2i000002i−2i2i−2i000000000000−2i2i00000000000-22000
χ472-2-22222-2-2-2-22-222002-2-200-22-22−2i2i−2i2i0000000002-2000002i−2i00000−2i2i−2i2i0000000000002i−2i00000000000-22000
χ482-2-22222-2-2-2-22-222002-2-200-22-22−2i2i−2i2i0000000002-200000−2i2i00000−2i2i−2i2i000000000000−2i2i000000000002-2000
χ492-2-2222-22-2-2-22-222002-2-2002-22-22i−2i−2i2i000000000-22000000002-2002i−2i−2i2i00000000002-2000000000002i−2i00000
χ502-2-2222-22-2-2-22-222002-2-2002-22-22i−2i−2i2i000000000-2200000000-22002i−2i−2i2i0000000000-2200000000000−2i2i00000
χ512-2-2222-22-2-2-22-222002-2-2002-22-2−2i2i2i−2i000000000-22000000002-200−2i2i2i−2i00000000002-200000000000−2i2i00000
χ522-2-2222-22-2-2-22-222002-2-2002-22-2−2i2i2i−2i000000000-2200000000-2200−2i2i2i−2i0000000000-22000000000002i−2i00000
χ534444-24-4-4-244-2-24-24-4-2-2-2222-4-420000004-40000-222-2-222000000000000000000000000000000000000000000
χ544444-24-4-4-244-2-24-2-44-2-2-2-2-22-4-42000000-44000022222-2-2000000000000000000000000000000000000000000
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
χ574444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200004-422-2-222211-1-1-1-10000000000002-211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-411122-2-2-2-20000-442222-2-2211-1-1-1-1000000000000-22-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111222222000000-22−2i32i3−2i32i3-2-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111222222000000-222i3−2i32i3−2i3-2-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111-2-222220000002-2−2i32i32i3−2i32-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111-2-222220000002-22i3−2i3−2i32i32-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44400-44-4-44-4400-44-4000000000000000000000000000000022−220000000000000000000000022−22000000000
χ6444-4-44400-44-4-44-4400-44-40000000000000000000000000000000−222200000000000000000000000−2222000000000
χ6544-4-4-240024-42-2-4-2002-2223−2300000000000000000000023−2300000022−2200000000000000000000000−226−60000000
χ6644-4-4-240024-42-2-4-2002-2223−2300000000000000000000023−23000000−2222000000000000000000000002−2−660000000
χ6744-4-4-240024-42-2-4-2002-22−2323000000000000000000000−232300000022−2200000000000000000000000−22−660000000
χ6844-4-4-240024-42-2-4-2002-22−2323000000000000000000000−2323000000−2222000000000000000000000002−26−60000000
χ694-44-444004-44-4-4-4400-4-44000000000000000000000000000000000000000000000000000000000000000022−220
χ704-44-444004-44-4-4-4400-4-440000000000000000000000000000000000000000000000000000000000000000−22220
χ714-4-444-24-4-4224-4-2-200-22200-4-2244i−4i4i−4i000000000-22000000000000−2i2i−2i2i000000000000000000000000000000
χ724-4-444-24-4-4224-4-2-200-22200-4-224−4i4i−4i4i000000000-220000000000002i−2i2i−2i000000000000000000000000000000
χ734-4-444-2-44-4224-4-2-200-2220042-2-44i−4i−4i4i0000000002-2000000000000−2i2i2i−2i000000000000000000000000000000
χ744-4-444-2-44-4224-4-2-200-2220042-2-4−4i4i4i−4i0000000002-20000000000002i−2i−2i2i000000000000000000000000000000
χ754-4-44-244-42-4-4-224-200-2220024-4-20000000000000-22000004i−4i000000000000000000000−2i2i0000000000000000
χ764-4-44-244-42-4-4-224-200-2220024-4-20000000000000-2200000−4i4i0000000000000000000002i−2i0000000000000000
χ774-4-44-24-442-4-4-224-200-22200-2-44200000000000002-2000000004-40000000000000000-22000000000000000000
χ784-4-44-24-442-4-4-224-200-22200-2-44200000000000002-200000000-4400000000000000002-2000000000000000000
χ7988-8-88-400-8-44-884-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-444-44200-22-243−43000000000000000000000−2323000000000000000000000000000000000000000000
χ8188-8-8-4-4004-444-44200-22-2−434300000000000000000000023−23000000000000000000000000000000000000000000
χ828-88-88-40084-4-8-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800-4-8844-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-44-4444200-2-220000000000000000000006i−6i00000000000000000000000000000000000000000000
χ858-88-8-4-400-44-4444200-2-22000000000000000000000−6i6i00000000000000000000000000000000000000000000
χ868-8-88-4-48-8444-44-42002-2-2004-44-400000000000002-20000000000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-42002-2-200-44-440000000000000-220000000000000000000000000000000000000000000000

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