Finite Group Databasebeta

← Group #11889405

Character table — Group #11889405

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order122222334466666666663444666666666121212121212412121212121212121212121212121212121212121244888824242424242424244448812121212242424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
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
χ51111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1
χ61111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-111111111-1-1-1-1
χ91111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-11-1-1111-1-111-1-11-1-111-1-11
χ101111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-111-1-1-1-111-111-1-111-1
χ111111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-11111-1-1-111-11-11-1
χ121111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-1-1111-1-11-11-11
χ131111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-11-11-111-1-1-1-1111-1-111-11-1
χ141111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11-1111-1-111-1-1-111-1-11-11
χ151111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-1-111-1-111-111-11-1-11
χ161111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11-11-1-11111-1-11-1-11-111-1
χ1722222222-2-222222222222-200222222222-2-2-2-2-2-200000-20000-2-2-2-20000000000000000000000000000000000022-2-20000
χ1822222222-2-222222222222-200222222222-2-2-2-2-2-200000-20000-2-2-2-200000000000000000000000000000000000-2-2220000
χ192222222-1222-122222-12-1-1222-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000022220000-1-1-1-10000-1-100
χ202222222-1222-122222-12-1-1222-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-2-2-20000111100001100
χ212222222-1222-122222-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-11111-1-1-1-11111111100000000000000022-2-2000011110000-1-100
χ222222222-1222-122222-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-11111-1-1-1-111111111000000000000000-2-2220000-1-1-1-100001100
χ23222222-1222-12-1-1-1-1-12-12-122222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-1000000000000
χ24222222-1222-12-1-1-1-1-12-12-122222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-200001111000000000000
χ25222222-1222-12-1-1-1-1-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-1-211112-2-2-2-2-1-1-1-11111111122-2-2-2-21111111120000-1-1-1-1000000000000
χ26222222-1222-12-1-1-1-1-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-1-211112-2-2-2-2-1-1-1-111111111-2-22222-1-1-1-1-1-1-1-1-200001111000000000000
χ272222-2-222-2-222-2-2-2-222222200-2-222-2-2-2-22-222-2-2-20000020000-2-222000000000000000000000000000000000002-22-20000
χ282222-2-222-2-222-2-2-2-222222200-2-222-2-2-2-22-222-2-2-20000020000-2-22200000000000000000000000000000000000-22-220000
χ292222-2-22-1222-1-2-2-2-22-12-1-1-22211-1-11111-12-2-2-1-12-222-2-21-1-111-1-111-1-1-1-111110000000000000002-2-220000-1-1110000-1100
χ302222-2-22-1222-1-2-2-2-22-12-1-1-22211-1-11111-12-2-2-1-12-222-2-21-1-111-1-111-1-1-1-11111000000000000000-222-2000011-1-100001-100
χ312222-2-22-1222-1-2-2-2-22-12-1-1-2-2-211-1-11111-12-2-2-1-122-2-222111-1-1-1-1111111-1-1-1-10000000000000002-22-2000011-1-10000-1100
χ322222-2-22-1222-1-2-2-2-22-12-1-1-2-2-211-1-11111-12-2-2-1-122-2-222111-1-1-1-1111111-1-1-1-1000000000000000-22-220000-1-11100001-100
χ332222-2-2-1222-121111-12-12-1-222-2-2-1-11111-1-11122-1-2-1-111-222-2-2-1-111-1-1-1-111112222-2-2-1-1-1-11111-20000-1-111000000000000
χ342222-2-2-1222-121111-12-12-1-222-2-2-1-11111-1-11122-1-2-1-111-222-2-2-1-111-1-1-1-11111-2-2-2-2221111-1-1-1-12000011-1-1000000000000
χ352222-2-2-1222-121111-12-12-1-2-2-2-2-2-1-11111-1-11122-1211-1-1-2-2-222-1-1111111-1-1-1-122-2-2221111-1-1-1-1-20000-1-111000000000000
χ362222-2-2-1222-121111-12-12-1-2-2-2-2-2-1-11111-1-11122-1211-1-1-2-2-222-1-1111111-1-1-1-1-2-222-2-2-1-1-1-111112000011-1-1000000000000
χ372-2-2200222-2-2-200002-2-22202-200-2-2000022002-2-202-20002-2002-20022-2-200002i−2i2i−2i002i2i−2i−2i0000000002i−2i00000000000000
χ382-2-2200222-2-2-200002-2-22202-200-2-2000022002-2-202-20002-2002-20022-2-20000−2i2i−2i2i00−2i−2i2i2i000000000−2i2i00000000000000
χ392-2-2200222-2-2-200002-2-2220-2200-2-2000022002-2-20-22000-22002-200-2-22200002i−2i−2i2i00−2i−2i2i2i0000000002i−2i00000000000000
χ402-2-2200222-2-2-200002-2-2220-2200-2-2000022002-2-20-22000-22002-200-2-2220000−2i2i2i−2i002i2i−2i−2i000000000−2i2i00000000000000
χ412-2-2200-122-21-2−i3−i3i3i3-1-212-102-20011−i3−i3i3i3-1-1−i3i32-210-11−i3i302-200-11−i3i3-1-111−i3−i3i3i32i−2i2i−2i00−i−iii33−3−300000−ii3−3000000000000
χ422-2-2200-122-21-2−i3−i3i3i3-1-212-102-20011−i3−i3i3i3-1-1−i3i32-210-11−i3i302-200-11−i3i3-1-111−i3−i3i3i3−2i2i−2i2i00ii−i−i−3−33300000i−i−33000000000000
χ432-2-2200-122-21-2−i3−i3i3i3-1-212-10-220011−i3−i3i3i3-1-1−i3i32-2101-1i3−i30-2200-11−i3i311-1-1i3i3−i3−i32i−2i−2i2i00ii−i−i−3−33300000−ii3−3000000000000
χ442-2-2200-122-21-2−i3−i3i3i3-1-212-10-220011−i3−i3i3i3-1-1−i3i32-2101-1i3−i30-2200-11−i3i311-1-1i3i3−i3−i3−2i2i2i−2i00−i−iii33−3−300000i−i−33000000000000
χ452-2-2200-122-21-2i3i3−i3−i3-1-212-102-20011i3i3−i3−i3-1-1i3−i32-210-11i3−i302-200-11i3−i3-1-111i3i3−i3−i32i−2i2i−2i00−i−iii−3−33300000−ii−33000000000000
χ462-2-2200-122-21-2i3i3−i3−i3-1-212-102-20011i3i3−i3−i3-1-1i3−i32-210-11i3−i302-200-11i3−i3-1-111i3i3−i3−i3−2i2i−2i2i00ii−i−i33−3−300000i−i3−3000000000000
χ472-2-2200-122-21-2i3i3−i3−i3-1-212-10-220011i3i3−i3−i3-1-1i3−i32-2101-1−i3i30-2200-11i3−i311-1-1−i3−i3i3i32i−2i−2i2i00ii−i−i33−3−300000−ii−33000000000000
χ482-2-2200-122-21-2i3i3−i3−i3-1-212-10-220011i3i3−i3−i3-1-1i3−i32-2101-1−i3i30-2200-11i3−i311-1-1−i3−i3i3i3−2i2i2i−2i00−i−iii−3−33300000i−i3−3000000000000
χ494444444-2-4-44-244444-24-2-2-400-2-2-2-2-2-2-2-2-2-4-4-422-4000002000022220000000000000000000000000000000000000000000
χ50444444-24-4-4-24-2-2-2-2-24-24-2-40044-2-2-2-2-2-2-2222-4-4200000-4000022220000000000000000000000000000000000000000000
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
χ52444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-2-2-42222-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-211111112222220000020000-1-1-1-13-33-33-33-300000000000000000000000000000000000
χ54444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-211111112222220000020000-1-1-1-1-33-33-33-3300000000000000000000000000000000000
χ554444-4-44-2-4-44-2-4-4-4-44-24-2-240022-2-22222-2-44422-400000-2000022-2-20000000000000000000000000000000000000000000
χ564444-4-4-24-4-4-242222-24-24-2400-4-4-2-22222-22-2-2-4-42000004000022-2-20000000000000000000000000000000000000000000
χ574444-4-4-2-244-2-22222-2-2-2-21-4442211-1-1-1-11-222-2-2-2-4-2-2222-2-22211-1-11111-1-1-1-100000000000000000000000000000000000
χ584444-4-4-2-244-2-22222-2-2-2-21-4-4-42211-1-1-1-11-222-2-2-2422-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ594444-4-4-2-2-4-4-2-22222-2-2-2-214002211-1-1-1-112-2-222200000-20000-1-1113-33-3-33-3300000000000000000000000000000000000
χ604444-4-4-2-2-4-4-2-22222-2-2-2-214002211-1-1-1-112-2-222200000-20000-1-111-33-333-33-300000000000000000000000000000000000
χ6144-4-44-44400-444-44-4-4-44-440004-44-44-44-4-4000000000000000000000000000000000000000000000000000000000000000
χ6244-4-44-44-200-4-24-44-4-4242-2000-22-22-22-222000000000000000000000000000000000000000000000000000i6−i6i6−i600000000
χ6344-4-44-44-200-4-24-44-4-4242-2000-22-22-22-222000000000000000000000000000000000000000000000000000−i6i6−i6i600000000
χ6444-4-44-4-240024-22-222-4-2-4-20004-4-22-22-22200000000000000000000000000000000006−66−66−66−6000000000000000000000
χ6544-4-44-4-240024-22-222-4-2-4-20004-4-22-22-2220000000000000000000000000000000000−66−66−66−66000000000000000000000
χ6644-4-4-444400-44-44-44-4-44-44000-444-4-44-44-4000000000000000000000000000000000000000000000000000000000000000
χ6744-4-4-444-200-4-2-44-44-4242-20002-2-222-22-22000000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ6844-4-4-444-200-4-2-44-44-4242-20002-2-222-22-22000000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ6944-4-4-44-2400242-22-22-4-2-4-2000-44-222-22-2200000000000000000000000000000000006−66−6−66−66000000000000000000000
χ7044-4-4-44-2400242-22-22-4-2-4-2000-44-222-22-220000000000000000000000000000000000−66−666−66−6000000000000000000000
χ714-44-40044004-40000-44-4-4400000-440000-40000000000000000000000000000000022−22000022−22−2222000000000000000000000
χ724-44-40044004-40000-44-4-4400000-440000-400000000000000000000000000000000−22220000−222222−22000000000000000000000
χ734-44-400-2400-2-4−2i32i32i3−2i3242-4-2000002-2−2i32i32i3−2i320000000000000000000000000000000022−22−i6i6i6−i6−222−2000000000000000000000
χ744-44-400-2400-2-4−2i32i32i3−2i3242-4-2000002-2−2i32i32i3−2i3200000000000000000000000000000000−2222i6−i6−i6i62−2−22000000000000000000000
χ754-44-400-2400-2-42i3−2i3−2i32i3242-4-2000002-22i3−2i3−2i32i320000000000000000000000000000000022−22i6−i6−i6i6−222−2000000000000000000000
χ764-44-400-2400-2-42i3−2i3−2i32i3242-4-2000002-22i3−2i3−2i32i3200000000000000000000000000000000−2222−i6i6i6−i62−2−22000000000000000000000
χ774-4-440044-44-4-400004-4-44400000-4-400004-400-4440000000000-44000000000000000000000000000000000000000000000
χ784-4-44004-24-4-42000042-4-2-204-400220000-2400-22-404-4000-2200-2200-2-222000000000000000000000000000000000000000
χ794-4-44004-24-4-42000042-4-2-20-4400220000-2400-22-40-440002-200-220022-2-2000000000000000000000000000000000000000
χ804-4-44004-2-44-42000042-4-2-200000220000-2-4002-2400000000−2i32i32-2000000−2i32i32i3−2i300000000000000000000000000000000000
χ814-4-44004-2-44-42000042-4-2-200000220000-2-4002-24000000002i3−2i32-20000002i3−2i3−2i32i300000000000000000000000000000000000
χ824-4-4400-24-442-4−2i3−2i32i32i3-2-424-20000022−2i3−2i32i32i3-222i3−2i3-44-200000000002-22i3−2i30000000000000000000000000000000000000000000
χ834-4-4400-24-442-42i32i3−2i3−2i3-2-424-200000222i32i3−2i3−2i3-22−2i32i3-44-200000000002-2−2i32i30000000000000000000000000000000000000000000
χ844-4-4400-2-24-422−2i3−2i32i32i3-222-2104-400-1-1i3i3−i3−i31-2−2i32i3-2220-22−2i32i30-22001-1i3−i311-1-1i3i3−i3−i300000000000000000000000000000000000
χ854-4-4400-2-24-422−2i3−2i32i32i3-222-210-4400-1-1i3i3−i3−i31-2−2i32i3-22202-22i3−2i302-2001-1i3−i3-1-111−i3−i3i3i300000000000000000000000000000000000
χ864-4-4400-2-24-4222i32i3−2i3−2i3-222-2104-400-1-1−i3−i3i3i31-22i3−2i3-2220-222i3−2i30-22001-1−i3i311-1-1−i3−i3i3i300000000000000000000000000000000000
χ874-4-4400-2-24-4222i32i3−2i3−2i3-222-210-4400-1-1−i3−i3i3i31-22i3−2i3-22202-2−2i32i302-2001-1−i3i3-1-111i3i3−i3−i300000000000000000000000000000000000
χ884-4-4400-2-2-4422−2i3−2i32i32i3-222-2100000-1-1i3i3−i3−i3122i3−2i32-2-200000000−2i32i3-11−i3i3-333-3i3−i3−i3i300000000000000000000000000000000000
χ894-4-4400-2-2-4422−2i3−2i32i32i3-222-2100000-1-1i3i3−i3−i3122i3−2i32-2-2000000002i3−2i3-11−i3i33-3-33−i3i3i3−i300000000000000000000000000000000000
χ904-4-4400-2-2-44222i32i3−2i3−2i3-222-2100000-1-1−i3−i3i3i312−2i32i32-2-200000000−2i32i3-11i3−i33-3-33i3−i3−i3i300000000000000000000000000000000000
χ914-4-4400-2-2-44222i32i3−2i3−2i3-222-2100000-1-1−i3−i3i3i312−2i32i32-2-2000000002i3−2i3-11i3−i3-333-3−i3i3i3−i300000000000000000000000000000000000
χ9288-8-88-8-4-4004-4-44-4444-442000-442-22-22-2-2000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-88-4-4004-44-44-444-4420004-42-2-22-22-2000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-400840000-8-4-84-4000004-400004000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400-44−4i34i34i3−4i34-444200000-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400-444i3−4i3−4i34i34-444200000-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000

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