Finite Group Databasebeta

← Group #11873306

Character table — Group #11873306

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order1222334466666634444446661212121212121212121212121212121212121212121212121212121212121212121288884444444488242424242424242424444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111-1-1-1-1111-1-11-1-11-1-1-1-11111-1-1-111-1-1-1111111-1-1-1-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-111-1-111-1
χ611111111111111111-1-1-1-1111-1-11-1-11-1-1-1-11111-1-1-111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1111-1-1-1-111111-1-11-11-11
χ711111111111111111-1-1-1-1111-1-11-1-11-1-1-1-11111-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-11111-1-1111-1-111-11-1
χ811111111111111111-1-1-1-1111-1-11-1-11-1-1-1-11111-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111-1-1-111-11-1-11
χ9111111111111111-1-111-1-1111111111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111-1-1-1-11-1-1-1-1
χ10111111111111111-1-111-1-1111111111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-11111-1-1-111
χ11111111111111111-1-111-1-1111111111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11111-11111-111-1-1
χ12111111111111111-1-111-1-1111111111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111
χ13111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-1111111111111-11-11-1-111-1-111-1-1-111-1-1-11-1-11
χ14111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111-1-1-1-1111-1-11111-11-1
χ15111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11-1-111-1-1-11111-1-11-1-1111-11-11
χ16111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-111-111-1-1-1-111-1
χ17222222-2-22222222002-200222-2-2-2-2-2-2-2-2-2-2-2-20020000200-2-20000220000000022-2-200000000000000-2000020000
χ18222222-2-22222222002-200222-2-2-2-2-2-2-2-2-2-2-2-20020000200-2-200002200000000-2-2220000000000000020000-20000
χ19222222-2-2222222200-220022222-222-22222-2-200-20000-200-2-20000-2-20000000022-2-20000000000000020000-20000
χ20222222-2-2222222200-220022222-222-22222-2-200-20000-200-2-20000-2-200000000-2-22200000000000000-2000020000
χ2122222-12222-1-1-12-1222222-1-1-122-1-1-12-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122000000220020-1-1-1-10000000000-1-100
χ2222222-12222-1-1-12-1222222-1-1-122-1-1-12-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-200-20111100000000001100
χ2322222-12222-1-1-12-122-2-2-2-2-1-1-1-2-2-11121111-1222-211-1-11-2-2-1-1-1-1-1-1111111220000002-200-20-1-11100000000001-100
χ2422222-12222-1-1-12-122-2-2-2-2-1-1-1-2-2-11121111-1222-211-1-11-2-2-1-1-1-1-1-1111111-2-2000000-22002011-1-10000000000-1100
χ2522222-12222-1-1-12-1-2-222-2-2-1-1-122-1-1-12-1-1-1-1-12-2-221111-1-2-2-1-11111-1-1111122000000-2-20020-1-1-1-100000000001100
χ2622222-12222-1-1-12-1-2-222-2-2-1-1-122-1-1-12-1-1-1-1-12-2-221111-1-2-2-1-11111-1-11111-2-20000002200-2011110000000000-1-100
χ2722222-12222-1-1-12-1-2-2-2-222-1-1-1-2-2-11121111-12-2-2-2-1-111122-1-1111111-1-1-1-122000000-2200-20-1-1110000000000-1100
χ2822222-12222-1-1-12-1-2-2-2-222-1-1-1-2-2-11121111-12-2-2-2-1-111122-1-1111111-1-1-1-1-2-20000002-2002011-1-100000000001-100
χ292222-1222-1-1222-1-1222222-1-1-1-1-1222-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000022020000-1-1-1-100000000-1-1
χ302222-1222-1-1222-1-1222222-1-1-1-1-1222-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000-2-20-2000011110000000011
χ312222-1222-1-1222-1-122-2-2-2-2-1-1-1112-2-2-111112-1-1-11-2-222-211-1-1-1-1-1-111111100220000002-20-20000-1-11100000000-11
χ322222-1222-1-1222-1-122-2-2-2-2-1-1-1112-2-2-111112-1-1-11-2-222-211-1-1-1-1-1-111111100-2-2000000-2202000011-1-1000000001-1
χ332222-1222-1-1222-1-1-2-222-2-2-1-1-1-1-1222-1-1-1-1-12-111-1-2-2-2-2211-1-11111-1-111110022000000-2-2020000-1-1-1-10000000011
χ342222-1222-1-1222-1-1-2-222-2-2-1-1-1-1-1222-1-1-1-1-12-111-1-2-2-2-2211-1-11111-1-1111100-2-2000000220-20000111100000000-1-1
χ352222-1222-1-1222-1-1-2-2-2-222-1-1-1112-2-2-111112-111122-2-2-2-1-1-1-1111111-1-1-1-10022000000-220-20000-1-111000000001-1
χ362222-1222-1-1222-1-1-2-2-2-222-1-1-1112-2-2-111112-111122-2-2-2-1-1-1-1111111-1-1-1-100-2-20000002-202000011-1-100000000-11
χ372-2-22222-2-2-22-2-22200002-2-22-200200-20000-220002-20002-22-200000022-2-200002i−2i2i−2i0000000000000002i−2i0000000
χ382-2-22222-2-2-22-2-22200002-2-22-200200-20000-220002-20002-22-200000022-2-20000−2i2i−2i2i000000000000000−2i2i0000000
χ392-2-22222-2-2-22-2-2220000-22-22-200200-20000-22000-22000-222-2000000-2-22200002i−2i2i−2i000000000000000−2i2i0000000
χ402-2-22222-2-2-22-2-2220000-22-22-200200-20000-22000-22000-222-2000000-2-2220000−2i2i−2i2i0000000000000002i−2i0000000
χ412-2-2222-22-2-22-2-2222i−2i0000-22-200-200200002-22i−2i0002i−2i000-222i2i−2i−2i00000000002i−2i−2i2i000000000000000002-200000
χ422-2-2222-22-2-22-2-2222i−2i0000-22-200-200200002-22i−2i0002i−2i000-222i2i−2i−2i0000000000−2i2i2i−2i00000000000000000-2200000
χ432-2-2222-22-2-22-2-222−2i2i0000-22-200-200200002-2−2i2i000−2i2i000-22−2i−2i2i2i00000000002i−2i−2i2i00000000000000000-2200000
χ442-2-2222-22-2-22-2-222−2i2i0000-22-200-200200002-2−2i2i000−2i2i000-22−2i−2i2i2i0000000000−2i2i2i−2i000000000000000002-200000
χ4544444-2-4-444-2-2-24-2004-400-2-2-2-4-4222-422222-40040000-200220000-2-2000000000000000000000000000000000000
χ4644444-2-4-444-2-2-24-200-4400-2-2-2442-2-2-4-2-2-2-22-400-4000020022000022000000000000000000000000000000000000
χ474444-24-4-4-2-2444-2-2004-400-2-2-222-4-4-422222-4200-20000400220000-2-2000000000000000000000000000000000000
χ484444-24-4-4-2-2444-2-200-4400-2-2-2-2-2-4442-2-2-2-2-420020000-40022000022000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-21444444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144-4-4-4-411122-222-2-1-1-1-1-2-2-2-2222-2-2222111111-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-444-4-4111-2-2-2-2-2-21111-2-222-22222-22211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4-4-44411122-222-2-1-1-1-1-2-2222-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-21004-400111222222-1-1-1-12200-20000-200-1-13-33-3113-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-21004-400111222222-1-1-1-12200-20000-200-1-1-33-3311-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2100-4400111-2-22-2-221111220020000200-1-13-33-3-1-1-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2100-4400111-2-22-2-221111220020000200-1-1-33-33-1-13-33-300000000000000000000000000000000
χ5744-4-44400-44-4-44-44000000-4-44000000000000000000000000000000000022−2200000000000022−220000000000000000
χ5844-4-44400-44-4-44-44000000-4-440000000000000000000000000000000000−2222000000000000−22220000000000000000
χ5944-4-44-200-4422-2-4-200000022-200023−2302323−23−2300000000000000000000000022−22000000000000−226−600000000000000
χ6044-4-44-200-4422-2-4-200000022-200023−2302323−23−23000000000000000000000000−22220000000000002−2−6600000000000000
χ6144-4-44-200-4422-2-4-200000022-2000−23230−23−23232300000000000000000000000022−22000000000000−22−6600000000000000
χ6244-4-44-200-4422-2-4-200000022-2000−23230−23−232323000000000000000000000000−22220000000000002−26−600000000000000
χ634-44-444004-4-44-4-440000004-4-400000000000000000000000000000000000022−220000000000000022−22000000000000
χ644-44-444004-4-44-4-440000004-4-4000000000000000000000000000000000000−222200000000000000−2222000000000000
χ654-44-4-2400-22-44-42-2000000-222−2i32i30000−2i32i3−2i32i30000000000000000000000000022−2200000000000000−22i6−i60000000000
χ664-44-4-2400-22-44-42-2000000-222−2i32i30000−2i32i3−2i32i300000000000000000000000000−2222000000000000002−2−i6i60000000000
χ674-44-4-2400-22-44-42-2000000-2222i3−2i300002i3−2i32i3−2i30000000000000000000000000022−2200000000000000−22−i6i60000000000
χ684-44-4-2400-22-44-42-2000000-2222i3−2i300002i3−2i32i3−2i300000000000000000000000000−2222000000000000002−2i6−i60000000000
χ694-4-444-24-4-4-4-2224-200004-42-2200-200-4000024000-220004-4-22000000-2-22200000000000000000000000000000000
χ704-4-444-24-4-4-4-2224-20000-442-2200-200-40000240002-2000-44-2200000022-2-200000000000000000000000000000000
χ714-4-444-2-44-4-4-2224-24i−4i00002-220020040000-2-44i−4i000−2i2i0002-2−2i−2i2i2i00000000000000000000000000000000000000
χ724-4-444-2-44-4-4-2224-2−4i4i00002-220020040000-2-4−4i4i0002i−2i0002-22i2i−2i−2i00000000000000000000000000000000000000
χ734-4-44-244-4224-4-4-2-200004-42-220040020000-4-20004-4000-22-22000000-2-22200000000000000000000000000000000
χ744-4-44-244-4224-4-4-2-20000-442-220040020000-4-2000-440002-2-2200000022-2-200000000000000000000000000000000
χ754-4-44-24-44224-4-4-2-24i−4i00002-2200-400-2000042−2i2i0004i−4i0002-2−2i−2i2i2i00000000000000000000000000000000000000
χ764-4-44-24-44224-4-4-2-2−4i4i00002-2200-400-20000422i−2i000−4i4i0002-22i2i−2i−2i00000000000000000000000000000000000000
χ774-4-44-2-24-422-222-2100004-4-11-100-20023i−3i−3i3i2-2000-22000-221-13i−3i−3i3i3i−3i11-1-100000000000000000000000000000000
χ784-4-44-2-24-422-222-2100004-4-11-100-2002−3i3i3i−3i2-2000-22000-221-1−3i3i3i−3i−3i3i11-1-100000000000000000000000000000000
χ794-4-44-2-24-422-222-210000-44-11-100-20023i−3i−3i3i2-20002-20002-21-1−3i3i3i−3i3i−3i-1-11100000000000000000000000000000000
χ804-4-44-2-24-422-222-210000-44-11-100-2002−3i3i3i−3i2-20002-20002-21-13i−3i−3i3i−3i3i-1-11100000000000000000000000000000000
χ814-4-44-2-2-4422-222-214i−4i0000-11-100200-23i−3i−3i3i-22−2i2i000−2i2i000-11ii−i−i−3i3i-333-300000000000000000000000000000000
χ824-4-44-2-2-4422-222-214i−4i0000-11-100200-2−3i3i3i−3i-22−2i2i000−2i2i000-11ii−i−i3i−3i3-3-3300000000000000000000000000000000
χ834-4-44-2-2-4422-222-21−4i4i0000-11-100200-23i−3i−3i3i-222i−2i0002i−2i000-11−i−iii−3i3i3-3-3300000000000000000000000000000000
χ844-4-44-2-2-4422-222-21−4i4i0000-11-100200-2−3i3i3i−3i-222i−2i0002i−2i000-11−i−iii3i−3i-333-300000000000000000000000000000000
χ8588-8-8-48004-4-8-884-400000044-4000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-444-442000000-2-2200043−430−23−23232300000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-4004-444-442000000-2-22000−434302323−23−2300000000000000000000000000000000000000000000000000000000
χ888-88-88-4008-84-44-8-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-444-44420000002-2-2−4i34i300002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-444-44420000002-2-24i3−4i30000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000

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