Finite Group Databasebeta

← Group #11884126

Character table — Group #11884126

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order12222233446666666666223466666666612121212121226666666666666666121212121244888824242424242424244448812121212242424242444121244
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
χ511111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1
χ611111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-111
χ711111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111-1-1-111-1-1-1-111111111-1-1-1-1
χ91111-1-11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-11-111-1-111-1-1-111-11-11-1
χ101111-1-11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11-1111-1-1-1-1111-1-11-11-11
χ111111-1-11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-1-11-1-111-1-11
χ121111-1-11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111-11-1-111-1-111-111-1-111-1
χ131111-1-11111111-1-1-1-1111-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1-1-1-111111-1-1-1111-1-1-1-111-111-11-1-11
χ141111-1-11111111-1-1-1-1111-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1-1-1-11111-1-111-111-1-111-1-11-1-11-111-1
χ151111-1-11111111-1-1-1-1111-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-11111-1-1-1-111-1-11-1-111-1-1111-1-111-11-1
χ161111-1-11111111-1-1-1-1111-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-11111-1-1-111-1-11-11
χ1722222222-2-22222222222002-2222222222-2-2-2-2-2-200000000000000000-2-2-2-2-200000000000000000000000000022-2-20000
χ1822222222-2-22222222222002-2222222222-2-2-2-2-2-200000000000000000-2-2-2-2-2000000000000000000000000000-2-2220000
χ192222222-12222-12222-1-1222-12-1-1-1-1-1-1-1-1-1222-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000202220000-1-1-1-10000-1-100
χ202222222-12222-12222-1-1222-12-1-1-1-1-1-1-1-1-1222-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-20-2-2-20000111100001100
χ212222222-12222-12222-1-12-2-2-12-1-1-1-1-1-1-1-1-1222-1-12-2-2-211-2-21111111111-1-1-1-1-100000000000000202-2-2000011110000-1-100
χ222222222-12222-12222-1-12-2-2-12-1-1-1-1-1-1-1-1-1222-1-12-2-2-211-2-21111111111-1-1-1-1-100000000000000-20-2220000-1-1-1-100001100
χ23222222-1222-1-12-1-1-1-122-122-1222-1-1-1-1-1-1-1-1-1-122-12-1-122-1-122-1-1-1-1-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-102000-1-1-1-1000000000000
χ24222222-1222-1-12-1-1-1-122-122-1222-1-1-1-1-1-1-1-1-1-122-12-1-122-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2111111110-20001111000000000000
χ25222222-1222-1-12-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-122-1-211-2-211-2-2111111112-1-1-1-122-2-2-2-21111111102000-1-1-1-1000000000000
χ26222222-1222-1-12-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-122-1-211-2-211-2-2111111112-1-1-1-1-2-22222-1-1-1-1-1-1-1-10-20001111000000000000
χ272222-2-222-2-2222-2-2-2-22220022-2-222-2-2-2-22-222-2-2-2000000000000000002-2-2220000000000000000000000000002-22-20000
χ282222-2-222-2-2222-2-2-2-22220022-2-222-2-2-2-22-222-2-2-2000000000000000002-2-222000000000000000000000000000-22-220000
χ292222-2-22-12222-1-2-2-2-2-1-1222-1-211-1-11111-12-2-2-1-12-222-1-1-2-211-1-1-1-111111-1-1110000000000000020-22-20000-1-1110000-1100
χ302222-2-22-12222-1-2-2-2-2-1-1222-1-211-1-11111-12-2-2-1-12-222-1-1-2-211-1-1-1-111111-1-11100000000000000-202-22000011-1-100001-100
χ312222-2-22-12222-1-2-2-2-2-1-12-2-2-1-211-1-11111-12-2-2-1-122-2-21122-1-11111-1-1-1-11-1-1110000000000000020-2-22000011-1-10000-1100
χ322222-2-22-12222-1-2-2-2-2-1-12-2-2-1-211-1-11111-12-2-2-1-122-2-21122-1-11111-1-1-1-11-1-11100000000000000-2022-20000-1-11100001-100
χ332222-2-2-1222-1-12111122-122-1-2-2-2-1-11111-1-11122-1-2-1-12211-2-2-1-1-1-11111-2-1-1112222-2-2-1-1-1-111110-2000-1-111000000000000
χ342222-2-2-1222-1-12111122-122-1-2-2-2-1-11111-1-11122-1-2-1-12211-2-2-1-1-1-11111-2-1-111-2-2-2-2221111-1-1-1-10200011-1-1000000000000
χ352222-2-2-1222-1-12111122-1-2-2-1-2-2-2-1-11111-1-11122-1211-2-2-1-1221111-1-1-1-1-2-1-11122-2-2221111-1-1-1-10-2000-1-111000000000000
χ362222-2-2-1222-1-12111122-1-2-2-1-2-2-2-1-11111-1-11122-1211-2-2-1-1221111-1-1-1-1-2-1-111-2-222-2-2-1-1-1-111110200011-1-1000000000000
χ372-2-220022-22-2-2-20000-2222-22000-2-200002-2002-2202-22-2000022-2-2000002-2002-22-20022-2-20000000002-200000000000000
χ382-2-220022-22-2-2-20000-2222-22000-2-200002-2002-2202-22-2000022-2-2000002-200-22-2200-2-222000000000-2200000000000000
χ392-2-220022-22-2-2-20000-222-222000-2-200002-2002-220-22-220000-2-222000002-2002-2-2200-2-2220000000002-200000000000000
χ402-2-220022-22-2-2-20000-222-222000-2-200002-2002-220-22-220000-2-222000002-200-222-20022-2-2000000000-2200000000000000
χ412-2-2200-12-2211-2−i3−i3i3i3-22-12-2-100011−i3−i3i3i3-11−i3i32-2-10-112-2−i3i300-1-111−i3−i3i3i30-11−i3i32-22-200-1-111−i3−i3i3i300000-11−i3i3000000000000
χ422-2-2200-12-2211-2−i3−i3i3i3-22-12-2-100011−i3−i3i3i3-11−i3i32-2-10-112-2−i3i300-1-111−i3−i3i3i30-11−i3i3-22-220011-1-1i3i3−i3−i3000001-1i3−i3000000000000
χ432-2-2200-12-2211-2−i3−i3i3i3-22-1-22-100011−i3−i3i3i3-11−i3i32-2-101-1-22i3−i30011-1-1i3i3−i3−i30-11−i3i32-2-220011-1-1i3i3−i3−i300000-11−i3i3000000000000
χ442-2-2200-12-2211-2−i3−i3i3i3-22-1-22-100011−i3−i3i3i3-11−i3i32-2-101-1-22i3−i30011-1-1i3i3−i3−i30-11−i3i3-222-200-1-111−i3−i3i3i3000001-1i3−i3000000000000
χ452-2-2200-12-2211-2i3i3−i3−i3-22-12-2-100011i3i3−i3−i3-11i3−i32-2-10-112-2i3−i300-1-111i3i3−i3−i30-11i3−i32-22-200-1-111i3i3−i3−i300000-11i3−i3000000000000
χ462-2-2200-12-2211-2i3i3−i3−i3-22-12-2-100011i3i3−i3−i3-11i3−i32-2-10-112-2i3−i300-1-111i3i3−i3−i30-11i3−i3-22-220011-1-1−i3−i3i3i3000001-1−i3i3000000000000
χ472-2-2200-12-2211-2i3i3−i3−i3-22-1-22-100011i3i3−i3−i3-11i3−i32-2-101-1-22−i3i30011-1-1−i3−i3i3i30-11i3−i32-2-220011-1-1−i3−i3i3i300000-11i3−i3000000000000
χ482-2-2200-12-2211-2i3i3−i3−i3-22-1-22-100011i3i3−i3−i3-11i3−i32-2-101-1-22−i3i30011-1-1−i3−i3i3i30-11i3−i3-222-200-1-111i3i3−i3−i3000001-1−i3i3000000000000
χ494444444-2-4-444-24444-2-2400-2-4-2-2-2-2-2-2-2-2-2-4-4-422-4000000000000000002222200000000000000000000000000000000000
χ50444444-24-4-4-2-24-2-2-2-244-200-2-444-2-2-2-2-2-2-2222-4-4200000000000000000-4222200000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-2-2-2-2-24414-2-21111111-2-2-2-2-2-24-2-2-2-2-2-2-2-211111111-2111100000000000000000000000000000000000
χ52444444-2-244-2-2-2-2-2-2-2-2-2-2-4-414-2-21111111-2-2-2-2-2-2-422222222-1-1-1-1-1-1-1-1-2111100000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2001-4-2-211111112222220000000003-33-33-33-32-1-1-1-100000000000000000000000000000000000
χ54444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2001-4-2-21111111222222000000000-33-33-33-332-1-1-1-100000000000000000000000000000000000
χ554444-4-44-2-4-444-2-4-4-4-4-2-2400-2422-2-22222-2-44422-400000000000000000-222-2-200000000000000000000000000000000000
χ564444-4-4-24-4-4-2-24222244-200-24-4-4-2-22222-22-2-2-4-4200000000000000000422-2-200000000000000000000000000000000000
χ574444-4-4-2-244-2-2-22222-2-2-2441-42211-1-1-1-11-222-2-2-2-4-2-2-2-222221111-1-1-1-1211-1-100000000000000000000000000000000000
χ584444-4-4-2-244-2-2-22222-2-2-2-4-41-42211-1-1-1-11-222-2-2-242222-2-2-2-2-1-1-1-11111211-1-100000000000000000000000000000000000
χ594444-4-4-2-2-4-4-2-2-22222-2-2-200142211-1-1-1-112-2-22220000000003-33-3-33-33-2-1-11100000000000000000000000000000000000
χ604444-4-4-2-2-4-4-2-2-22222-2-2-200142211-1-1-1-112-2-2222000000000-33-333-33-3-2-1-11100000000000000000000000000000000000
χ6144-4-44-444004-444-44-4-4-4-400404-44-44-44-4-4000000000000000000000000000000000000000000000000000000000000000
χ6244-4-44-44-2004-4-24-44-422-400-20-22-22-22-2220000000000000000000000000000000000000000000000000006−66−600000000
χ6344-4-44-44-2004-4-24-44-422-400-20-22-22-22-222000000000000000000000000000000000000000000000000000−66−6600000000
χ6444-4-44-4-2400-224-22-22-4-4200-204-4-22-22-22200000000000000000000000000000000006−66−66−66−6000000000000000000000
χ6544-4-44-4-2400-224-22-22-4-4200-204-4-22-22-2220000000000000000000000000000000000−66−66−66−66000000000000000000000
χ6644-4-4-4444004-44-44-44-4-4-40040-444-4-44-44-4000000000000000000000000000000000000000000000000000000000000000
χ6744-4-4-444-2004-4-2-44-4422-400-202-2-222-22-220000000000000000000000000000000000000000000000000006−6−6600000000
χ6844-4-4-444-2004-4-2-44-4422-400-202-2-222-22-22000000000000000000000000000000000000000000000000000−666−600000000
χ6944-4-4-44-2400-2242-22-2-4-4200-20-44-222-22-2200000000000000000000000000000000006−66−6−66−66000000000000000000000
χ7044-4-4-44-2400-2242-22-2-4-4200-20-44-222-22-220000000000000000000000000000000000−66−666−66−6000000000000000000000
χ714-44-4004400-44-400004-4-4004000-440000-400000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000
χ724-44-4004400-44-400004-4-4004000-440000-4000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000
χ734-44-400-24002-2-4−2i32i32i3−2i34-4200-20002-2−2i32i32i3−2i3200000000000000000000000000000000−2i22i2−666−6i2−i2−i2i2000000000000000000000
χ744-44-400-24002-2-4−2i32i32i3−2i34-4200-20002-2−2i32i32i3−2i32000000000000000000000000000000002i2−2i26−6−66−i2i2i2−i2000000000000000000000
χ754-44-400-24002-2-42i3−2i3−2i32i34-4200-20002-22i3−2i3−2i32i3200000000000000000000000000000000−2i22i26−6−66i2−i2−i2i2000000000000000000000
χ764-44-400-24002-2-42i3−2i3−2i32i34-4200-20002-22i3−2i3−2i32i32000000000000000000000000000000002i2−2i2−666−6−i2i2i2−i2000000000000000000000
χ774-4-4400444-4-4-4-40000-444004000-4-400004400-44-4000000000000000000-440000000000000000000000000000000000000
χ784-4-44004-24-4-4-4200002-2400-2000220000-24002-2-40000000−2i32i30000−2i32i32i3−2i302-20000000000000000000000000000000000000
χ794-4-44004-24-4-4-4200002-2400-2000220000-24002-2-400000002i3−2i300002i3−2i3−2i32i302-20000000000000000000000000000000000000
χ804-4-44004-2-44-4-4200002-244-4-2000220000-2-400-22404-4-220000-2-22200000-220000000000000000000000000000000000000
χ814-4-44004-2-44-4-4200002-24-44-2000220000-2-400-2240-442-2000022-2-200000-220000000000000000000000000000000000000
χ824-4-4400-244-422-4−2i3−2i32i32i3-44-200-200022−2i3−2i32i32i3-2-22i3−2i3-4420000000000000000002-22i3−2i300000000000000000000000000000000000
χ834-4-4400-244-422-42i32i3−2i3−2i3-44-200-2000222i32i3−2i3−2i3-2-2−2i32i3-4420000000000000000002-2−2i32i300000000000000000000000000000000000
χ844-4-4400-2-24-4222−2i3−2i32i32i32-2-2001000-1-1i3i3−i3−i31-22i3−2i32-220000000−2i32i3-333-3i3−i3−i3i30-11−i3i300000000000000000000000000000000000
χ854-4-4400-2-24-4222−2i3−2i32i32i32-2-2001000-1-1i3i3−i3−i31-22i3−2i32-2200000002i3−2i33-3-33−i3i3i3−i30-11−i3i300000000000000000000000000000000000
χ864-4-4400-2-24-42222i32i3−2i3−2i32-2-2001000-1-1−i3−i3i3i31-2−2i32i32-220000000−2i32i33-3-33i3−i3−i3i30-11i3−i300000000000000000000000000000000000
χ874-4-4400-2-24-42222i32i3−2i3−2i32-2-2001000-1-1−i3−i3i3i31-2−2i32i32-2200000002i3−2i3-333-3−i3i3i3−i30-11i3−i300000000000000000000000000000000000
χ884-4-4400-2-2-44222−2i3−2i32i32i32-2-24-41000-1-1i3i3−i3−i312−2i32i3-22-20-22-22−2i32i30011-1-1i3i3−i3−i301-1i3−i300000000000000000000000000000000000
χ894-4-4400-2-2-44222−2i3−2i32i32i32-2-2-441000-1-1i3i3−i3−i312−2i32i3-22-202-22-22i3−2i300-1-111−i3−i3i3i301-1i3−i300000000000000000000000000000000000
χ904-4-4400-2-2-442222i32i3−2i3−2i32-2-24-41000-1-1−i3−i3i3i3122i3−2i3-22-20-22-222i3−2i30011-1-1−i3−i3i3i301-1−i3i300000000000000000000000000000000000
χ914-4-4400-2-2-442222i32i3−2i3−2i32-2-2-441000-1-1−i3−i3i3i3122i3−2i3-22-202-22-2−2i32i300-1-111i3i3−i3−i301-1−i3i300000000000000000000000000000000000
χ9288-8-88-8-4-400-44-4-44-444440020-442-22-22-2-2000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-88-4-400-44-44-44-444400204-42-2-22-22-2000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-400-8840000-44-800-40004-400004000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4004-44−4i34i34i3−4i3-444002000-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4004-444i3−4i3−4i34i3-444002000-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000

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