Finite Group Databasebeta

← Group #11889398

Character table — Group #11889398

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order122222334466666666663444666666666121212121212412121212121212121212121212121212121212121244888824242424242424244448812121212242424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1
χ6111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-111111111-1-1-1-1
χ91111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111-1-1111-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-11-111-1-111-1-1-111-11-1-11
χ101111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111-1-1111-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-1111-1-1-1-1111-1-11-111-1
χ111111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111-1-1111-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-1-11-1-111-11-1
χ121111-1-111111-1-1-1-111111111-1-1-11-1-1-1-1111-1-1111-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-11-1-111-1-111-111-1-11-11
χ131111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-1-1111-1-1-1-111-111-11-11-1
χ141111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-111-1-111-1-11-1-11-11-11
χ151111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-1-111-1-1111-1-111-1-11
χ161111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1111-1-1-11111-1-1-111-1-111-1
χ1722222222-2-22222222222200-2222222222-2-2-2-2-2-2000000000-2-2-2-2-20000000000000000000000000000000000022-2-20000
χ1822222222-2-22222222222200-2222222222-2-2-2-2-2-2000000000-2-2-2-2-200000000000000000000000000000000000-2-2220000
χ192222222-122222222-1-1-12-1222-1-1-1-1-1-1-1-1-1222-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000202220000-1-1-1-10000-1-100
χ202222222-122222222-1-1-12-1222-1-1-1-1-1-1-1-1-1222-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-20-2-2-20000111100001100
χ212222222-122222222-1-1-12-1-2-22-1-1-1-1-1-1-1-1-1222-1-12-2-2-211-2-211-1-1-1-1-11111111100000000000000202-2-2000011110000-1-100
χ222222222-122222222-1-1-12-1-2-22-1-1-1-1-1-1-1-1-1222-1-12-2-2-211-2-211-1-1-1-1-11111111100000000000000-20-2220000-1-1-1-100001100
χ23222222-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-1-1-122-12-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-102000-1-1-1-1000000000000
χ24222222-1222-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-1-1-122-12-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111110-20001111000000000000
χ25222222-1222-1-1-1-1-1-1222-1-1-2-2222-1-1-1-1-1-1-1-1-1-122-1-211-2-211-2-22-1-1-1-11111111122-2-2-2-21111111102000-1-1-1-1000000000000
χ26222222-1222-1-1-1-1-1-1222-1-1-2-2222-1-1-1-1-1-1-1-1-1-122-1-211-2-211-2-22-1-1-1-111111111-2-22222-1-1-1-1-1-1-1-10-20001111000000000000
χ272222-2-222-2-22-2-2-2-2222222002-2-22-2-2-2-222-222-2-2-20000000002-2-222000000000000000000000000000000000002-22-20000
χ282222-2-222-2-22-2-2-2-2222222002-2-22-2-2-2-222-222-2-2-20000000002-2-22200000000000000000000000000000000000-22-220000
χ292222-2-22-1222-2-2-2-22-1-1-12-122-211-11111-1-12-2-2-1-12-222-1-1-2-2111-1-111-1-1-1-111110000000000000020-22-20000-1-1110000-1100
χ302222-2-22-1222-2-2-2-22-1-1-12-122-211-11111-1-12-2-2-1-12-222-1-1-2-2111-1-111-1-1-1-1111100000000000000-202-22000011-1-100001-100
χ312222-2-22-1222-2-2-2-22-1-1-12-1-2-2-211-11111-1-12-2-2-1-122-2-21122-1-11-1-1111111-1-1-1-10000000000000020-2-22000011-1-10000-1100
χ322222-2-22-1222-2-2-2-22-1-1-12-1-2-2-211-11111-1-12-2-2-1-122-2-21122-1-11-1-1111111-1-1-1-100000000000000-2022-20000-1-11100001-100
χ332222-2-2-1222-11111-1222-1-122-2-2-2-11111-1-1-11122-1-2-1-12211-2-2-2-1-111-1-1-1-111112222-2-2-1-1-1-111110-2000-1-111000000000000
χ342222-2-2-1222-11111-1222-1-122-2-2-2-11111-1-1-11122-1-2-1-12211-2-2-2-1-111-1-1-1-11111-2-2-2-2221111-1-1-1-10200011-1-1000000000000
χ352222-2-2-1222-11111-1222-1-1-2-2-2-2-2-11111-1-1-11122-1211-2-2-1-122-2-1-1111111-1-1-1-122-2-2221111-1-1-1-10-2000-1-111000000000000
χ362222-2-2-1222-11111-1222-1-1-2-2-2-2-2-11111-1-1-11122-1211-2-2-1-122-2-1-1111111-1-1-1-1-2-222-2-2-1-1-1-111110200011-1-1000000000000
χ372-2-2200222-2-20000-2-2-22222i−2i000-200002-22002-2-202i−2i2i−2i000002-2002i2i−2i−2i00002-22i−2i002i2i−2i−2i0000000002-200000000000000
χ382-2-2200222-2-20000-2-2-22222i−2i000-200002-22002-2-202i−2i2i−2i000002-2002i2i−2i−2i0000-22−2i2i00−2i−2i2i2i000000000-2200000000000000
χ392-2-2200222-2-20000-2-2-2222−2i2i000-200002-22002-2-20−2i2i−2i2i000002-200−2i−2i2i2i00002-2−2i2i00−2i−2i2i2i0000000002-200000000000000
χ402-2-2200222-2-20000-2-2-2222−2i2i000-200002-22002-2-20−2i2i−2i2i000002-200−2i−2i2i2i0000-222i−2i002i2i−2i−2i000000000-2200000000000000
χ412-2-2200-122-21−i3−i3i3i31-2-22-1-12i−2i0001−i3−i3i3i3-11-1−i3i32-210−ii2i−2i3−3000-11−i3i3−i−iii33−3−32-22i−2i00−i−iii33−3−300000-11−i3i3000000000000
χ422-2-2200-122-21−i3−i3i3i31-2-22-1-12i−2i0001−i3−i3i3i3-11-1−i3i32-210−ii2i−2i3−3000-11−i3i3−i−iii33−3−3-22−2i2i00ii−i−i−3−333000001-1i3−i3000000000000
χ432-2-2200-122-21−i3−i3i3i31-2-22-1-1−2i2i0001−i3−i3i3i3-11-1−i3i32-210i−i−2i2i−33000-11−i3i3ii−i−i−3−3332-2−2i2i00ii−i−i−3−33300000-11−i3i3000000000000
χ442-2-2200-122-21−i3−i3i3i31-2-22-1-1−2i2i0001−i3−i3i3i3-11-1−i3i32-210i−i−2i2i−33000-11−i3i3ii−i−i−3−333-222i−2i00−i−iii33−3−3000001-1i3−i3000000000000
χ452-2-2200-122-21i3i3−i3−i31-2-22-1-12i−2i0001i3i3−i3−i3-11-1i3−i32-210−ii2i−2i−33000-11i3−i3−i−iii−3−3332-22i−2i00−i−iii−3−33300000-11i3−i3000000000000
χ462-2-2200-122-21i3i3−i3−i31-2-22-1-12i−2i0001i3i3−i3−i3-11-1i3−i32-210−ii2i−2i−33000-11i3−i3−i−iii−3−333-22−2i2i00ii−i−i33−3−3000001-1−i3i3000000000000
χ472-2-2200-122-21i3i3−i3−i31-2-22-1-1−2i2i0001i3i3−i3−i3-11-1i3−i32-210i−i−2i2i3−3000-11i3−i3ii−i−i33−3−32-2−2i2i00ii−i−i33−3−300000-11i3−i3000000000000
χ482-2-2200-122-21i3i3−i3−i31-2-22-1-1−2i2i0001i3i3−i3−i3-11-1i3−i32-210i−i−2i2i3−3000-11i3−i3ii−i−i33−3−3-222i−2i00−i−iii−3−333000001-1−i3i3000000000000
χ494444444-2-4-4444444-2-2-24-200-4-2-2-2-2-2-2-2-2-2-4-4-422-4000000000222220000000000000000000000000000000000000000000
χ50444444-24-4-4-2-2-2-2-2-2444-2-200-444-2-2-2-2-2-2-2222-4-42000000000-422220000000000000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ52444444-2-244-2-2-2-2-2-2-2-2-2-21-4-44-2-21111111-2-2-2-2-2-2-422222222-21111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2100-4-2-211111112222220000000002-1-1-1-13-33-33-33-300000000000000000000000000000000000
χ54444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2100-4-2-211111112222220000000002-1-1-1-1-33-33-33-3300000000000000000000000000000000000
χ554444-4-44-2-4-44-4-4-4-44-2-2-24-200422-22222-2-2-44422-4000000000-222-2-20000000000000000000000000000000000000000000
χ564444-4-4-24-4-4-22222-2444-2-2004-4-4-22222-2-22-2-2-4-42000000000422-2-20000000000000000000000000000000000000000000
χ574444-4-4-2-244-22222-2-2-2-2-2144-4221-1-1-1-111-222-2-2-2-4-2-2-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ584444-4-4-2-244-22222-2-2-2-2-21-4-4-4221-1-1-1-111-222-2-2-242222-2-2-2-2211-1-1-1-1-1-1111100000000000000000000000000000000000
χ594444-4-4-2-2-4-4-22222-2-2-2-2-21004221-1-1-1-1112-2-2222000000000-2-1-1113-33-3-33-3300000000000000000000000000000000000
χ604444-4-4-2-2-4-4-22222-2-2-2-2-21004221-1-1-1-1112-2-2222000000000-2-1-111-33-333-33-300000000000000000000000000000000000
χ6144-4-44-44400-44-44-444-4-4-440004-4-44-44-4-44000000000000000000000000000000000000000000000000000000000000000
χ6244-4-44-44-200-44-44-44-222-4-2000-222-22-222-20000000000000000000000000000000000000000000000000006−66−600000000
χ6344-4-44-44-200-44-44-44-222-4-2000-222-22-222-2000000000000000000000000000000000000000000000000000−66−6600000000
χ6444-4-44-4-24002-22-22-24-4-42-20004-42-22-222-200000000000000000000000000000000006−66−66−66−6000000000000000000000
χ6544-4-44-4-24002-22-22-24-4-42-20004-42-22-222-20000000000000000000000000000000000−66−66−66−66000000000000000000000
χ6644-4-4-444400-4-44-4444-4-4-44000-44-4-44-44-44000000000000000000000000000000000000000000000000000000000000000
χ6744-4-4-444-200-4-44-444-222-4-20002-222-22-22-20000000000000000000000000000000000000000000000000006−6−6600000000
χ6844-4-4-444-200-4-44-444-222-4-20002-222-22-22-2000000000000000000000000000000000000000000000000000−666−600000000
χ6944-4-4-44-240022-22-2-24-4-42-2000-4422-22-22-200000000000000000000000000000000006−66−6−66−66000000000000000000000
χ7044-4-4-44-240022-22-2-24-4-42-2000-4422-22-22-20000000000000000000000000000000000−66−666−66−6000000000000000000000
χ714-44-400440040000-4-44-4-440000040000-4-40000000000000000000000000000000022−22000022−22−2222000000000000000000000
χ724-44-400440040000-4-44-4-440000040000-4-400000000000000000000000000000000−22220000−222222−22000000000000000000000
χ734-44-400-2400-2−2i32i32i3−2i32-44-42-200000-2−2i32i32i3−2i3220000000000000000000000000000000022−22−i6i6i6−i6−222−2000000000000000000000
χ744-44-400-2400-2−2i32i32i3−2i32-44-42-200000-2−2i32i32i3−2i32200000000000000000000000000000000−2222i6−i6−i6i62−2−22000000000000000000000
χ754-44-400-2400-22i3−2i3−2i32i32-44-42-200000-22i3−2i3−2i32i3220000000000000000000000000000000022−22i6−i6−i6i6−222−2000000000000000000000
χ764-44-400-2400-22i3−2i3−2i32i32-44-42-200000-22i3−2i3−2i32i32200000000000000000000000000000000−2222−i6i6i6−i62−2−22000000000000000000000
χ774-4-440044-44-40000-4-4-444400000-400004-4-400-4440000000000-44000000000000000000000000000000000000000000000
χ784-4-44004-24-4-40000-422-24-24i−4i00020000-22400-22-404i−4i−2i2i00000-2200−2i−2i2i2i000000000000000000000000000000000000000
χ794-4-44004-24-4-40000-422-24-2−4i4i00020000-22400-22-40−4i4i2i−2i00000-22002i2i−2i−2i000000000000000000000000000000000000000
χ804-4-44004-2-44-40000-422-24-20000020000-22-4002-24000000023−2302-200000023−23−232300000000000000000000000000000000000
χ814-4-44004-2-44-40000-422-24-20000020000-22-4002-240000000−232302-2000000−232323−2300000000000000000000000000000000000
χ824-4-4400-24-442−2i3−2i32i32i32-4-44-2-2000002−2i3−2i32i32i3-2222i3−2i3-44-200000000002-22i3−2i30000000000000000000000000000000000000000000
χ834-4-4400-24-4422i32i3−2i3−2i32-4-44-2-20000022i32i3−2i3−2i3-222−2i32i3-44-200000000002-2−2i32i30000000000000000000000000000000000000000000
χ844-4-4400-2-24-42−2i3−2i32i32i3222-2-214i−4i000-1i3i3−i3−i31-1-2−2i32i3-2220−2i2i−2i2i23−230001-1i3−i3ii−i−i−3−33300000000000000000000000000000000000
χ854-4-4400-2-24-42−2i3−2i32i32i3222-2-21−4i4i000-1i3i3−i3−i31-1-2−2i32i3-22202i−2i2i−2i−23230001-1i3−i3−i−iii33−3−300000000000000000000000000000000000
χ864-4-4400-2-24-422i32i3−2i3−2i3222-2-214i−4i000-1−i3−i3i3i31-1-22i3−2i3-2220−2i2i−2i2i−23230001-1−i3i3ii−i−i33−3−300000000000000000000000000000000000
χ874-4-4400-2-24-422i32i3−2i3−2i3222-2-21−4i4i000-1−i3−i3i3i31-1-22i3−2i3-22202i−2i2i−2i23−230001-1−i3i3−i−iii−3−33300000000000000000000000000000000000
χ884-4-4400-2-2-442−2i3−2i32i32i3222-2-2100000-1i3i3−i3−i31-122i3−2i32-2-2000000023−230-11−i3i3−3i3i3i−3i−333−300000000000000000000000000000000000
χ894-4-4400-2-2-442−2i3−2i32i32i3222-2-2100000-1i3i3−i3−i31-122i3−2i32-2-20000000−23230-11−i3i33i−3i−3i3i3−3−3300000000000000000000000000000000000
χ904-4-4400-2-2-4422i32i3−2i3−2i3222-2-2100000-1−i3−i3i3i31-12−2i32i32-2-2000000023−230-11i3−i33i−3i−3i3i−333−300000000000000000000000000000000000
χ914-4-4400-2-2-4422i32i3−2i3−2i3222-2-2100000-1−i3−i3i3i31-12−2i32i32-2-20000000−23230-11i3−i3−3i3i3i−3i3−3−3300000000000000000000000000000000000
χ9288-8-88-8-4-4004-44-44-4-44442000-44-22-22-2-22000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-88-4-40044-44-4-4-444420004-4-2-22-22-22000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-40080000-84-44-8-400000-4000044000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400-4−4i34i34i3−4i344-44420000022i3−2i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400-44i3−4i3−4i34i344-4442000002−2i32i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000

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