Finite Group Databasebeta

← Group #11868954

Character table — Group #11868954

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order122233446666661212121234466688121212121212121224242424224481212121212121224242424242424242424242424242244446688121224242424446681212121224242244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-1
χ6111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-11111-1-1111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-1-1-111111111-1-1
χ91111111111111111111-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111111-111-1-1-1-1-1-1-111-1-11-1-11
χ101111111111111111111-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-11111111111-11-1-1-1-1-111-1-1-1-111-111-1
χ111111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1111-11-1
χ121111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-11-11
χ131111111111111111111-1-1111-1-11-1-111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-111-1
χ141111111111111111111-1-1111-1-11-1-111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111-111-1-111-1-1-1-11-1-1-11-1-11111-1-1111-1-11
χ151111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-11-1-111-1-11111-1111-111-1-1-1-1-1-111-11-11
χ161111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-111111-1-1-1-11111-1-111-1-11-11-1
χ17222222-2-2222222-2-2-2-222-222200-222-2-2-2-2-2000022-2-202-2-222-2-20000000000000000-20022200-2-20000000002-2000000000000
χ18222222-2-2222222-2-2-2-222-222200-222-2-2-2-2-20000-2-22202-2-222-2-20000000000000000200-2-2-20022000000000-22000000000000
χ19222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-2000022-2-20-222-2-2220000000000000000200-22200-2-2000000000-22000000000000
χ20222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-20000-2-2220-222-2-2220000000000000000-2002-2-200220000000002-2000000000000
χ2122222-122-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1220220000000000022-1-1000-1-1000000-1-100
χ2222222-122-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200000000000-2-211000110000001100
χ2322222-122-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-21111111111112202200000000000-2-2-1-1000-1-10000001100
χ2422222-122-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-2111111111111-2-20-2-200000000000221100011000000-1-100
χ2522222-122-1222-1-12222-1-2-2-1-1-122-111-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-1111111220-2-2000000000002-2-1-100011000000-1100
χ2622222-122-1222-1-12222-1-2-2-1-1-122-111-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-1111111-2-202200000000000-2211000-1-10000001-100
χ2722222-122-1222-1-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-1220-2-200000000000-22-1-1000110000001-100
χ2822222-122-1222-1-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-1-2-2022000000000002-211000-1-1000000-1100
χ292222-12222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-122222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1002002-1-122-1-1-1-1-1-100002-1-100-1-100000000
χ302222-12222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-2-2-22-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-100-200-211-2-21111110000-211001100000000
χ312222-12222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-111112222-2-1-12-1-1-1-111-2-21111-2-21111002002-1-1-2-2-1-111110000-2-1-1001100000000
χ322222-12222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-2-2-1-12-1-1-1-111-2-21111-2-2111100-200-2112211-1-1-1-1000021100-1-100000000
χ332222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-12222-211-211111122-1-1-1-1-2-2111100-200-2-1-122-1-1-1-1-1-10000-211001100000000
χ342222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-1-2-2-2-2-211-211111122-1-1-1-1-2-2111100200211-2-211111100002-1-100-1-100000000
χ352222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-111112222211-21111-1-1-2-2111122-1-1-1-100-200-2-1-1-2-2-1-11111000021100-1-100000000
χ362222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-11111-2-2-2-2211-21111-1-1-2-2111122-1-1-1-1002002112211-1-1-1-10000-2-1-1001100000000
χ372222-12-2-22-1-1-1221111-12-2-1-1-100-22211-21133−3−322-2-20-11-2-1-1113−30033−3−30033−3−300-2002-1-1001133−3−300000-11003−300000000
χ382222-12-2-22-1-1-1221111-12-2-1-1-100-22211-21133−3−3-2-2220-11-2-1-1113−30033−3−30033−3−300200-21100-1-1−3−333000001-100−3300000000
χ392222-12-2-22-1-1-1221111-12-2-1-1-100-22211-211−3−33322-2-20-11-2-1-111−3300−3−33300−3−33300-2002-1-10011−3−33300000-1100−3300000000
χ402222-12-2-22-1-1-1221111-12-2-1-1-100-22211-211−3−333-2-2220-11-2-1-111−3300−3−33300−3−33300200-21100-1-133−3−3000001-1003−300000000
χ412222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-21133−3−322-2-201-1211-1-1−330033−3−300−3−33300200-2-1-1001133−3−3000001-100−3300000000
χ422222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-21133−3−3-2-22201-1211-1-1−330033−3−300−3−33300-20021100-1-1−3−33300000-11003−300000000
χ432222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-211−3−33322-2-201-1211-1-13−300−3−3330033−3−300200-2-1-10011−3−333000001-1003−300000000
χ442222-12-2-22-1-1-1221111-1-22-1-1-100-2-2-211-211−3−333-2-22201-1211-1-13−300−3−3330033−3−300-20021100-1-133−3−300000-1100−3300000000
χ4522-2-2222-222-2-2-2-222-2-22002-2-20020022-2-2-200002-22-200000000000000000000002-200002-2002-20000002-200000002-2000000
χ4622-2-2222-222-2-2-2-222-2-22002-2-20020022-2-2-200002-22-20000000000000000000000-2200002-2002-2000000-220000000-22000000
χ4722-2-2222-222-2-2-2-222-2-22002-2-20020022-2-2-20000-22-2200000000000000000000002-20000-2200-220000002-20000000-22000000
χ4822-2-2222-222-2-2-2-222-2-22002-2-20020022-2-2-20000-22-220000000000000000000000-220000-2200-22000000-2200000002-2000000
χ4922-2-222-2222-2-2-2-2-2-2222002-2-200-200-2-222200002-2-2200000000000000000000000002i−2i02-200-22000000000002i−2i00002i−2i0000
χ5022-2-222-2222-2-2-2-2-2-2222002-2-200-200-2-222200002-2-220000000000000000000000000−2i2i02-200-2200000000000−2i2i0000−2i2i0000
χ5122-2-222-2222-2-2-2-2-2-2222002-2-200-200-2-22220000-222-200000000000000000000000002i−2i0-22002-2000000000002i−2i0000−2i2i0000
χ5222-2-222-2222-2-2-2-2-2-2222002-2-200-200-2-22220000-222-20000000000000000000000000−2i2i0-22002-200000000000−2i2i00002i−2i0000
χ5344444-2-4-4-2444-2-2-4-4-4-4-24-4-2-2-2002-2-2222220000000004-42-2-2220000000000000000000000000000000000000000000000000
χ5444444-2-4-4-2444-2-2-4-4-4-4-2-44-2-2-20022222222000000000-44-222-2-20000000000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-2-2-2-214411144-2-2-211-211-2-2-2-200004-2-2-21111-2-2-2-21111-2-2111100000000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-2-2-2-2144111-4-4-2-2-211-21122220000-4-2-2-211112222-1-1-1-122-1-1-1-100000000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-2-2-2-21-4-411144-22211-211-2-2-2-20000-4222-1-1-1-122-2-2111122-1-1-1-100000000000000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-4-22211-211222200004222-1-1-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2222214-4111002-2-2-1-12-1-12323−23−2300000-22211-1-123−2300−3−33300−3−33300000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2222214-4111002-2-2-1-12-1-1−23−23232300000-22211-1-1−23230033−3−30033−3−300000000000000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-222221-4411100222-1-12-1-12323−23−23000002-2-2-1-111−232300−3−3330033−3−300000000000000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-222221-4411100222-1-12-1-1−23−232323000002-2-2-1-11123−230033−3−300−3−33300000000000000000000000000000000000
χ6344-4-44-24-4-24-4-42244-4-4-200-22200-200-2-22220000000000000000000000000000004-40000000000000000-22000000000000000
χ6444-4-44-24-4-24-4-42244-4-4-200-22200-200-2-2222000000000000000000000000000000-4400000000000000002-2000000000000000
χ6544-4-44-2-44-24-4-422-4-444-200-2220020022-2-2-20000000000000000000000000000000004i−4i000000000000000000−2i2i0000000000
χ6644-4-44-2-44-24-4-422-4-444-200-2220020022-2-2-2000000000000000000000000000000000−4i4i0000000000000000002i−2i0000000000
χ6744-4-4-244-44-222-4-4-2-222-200-22200400-2-2-42200004-44-40000000000000000000000000000-2200-2200000000000000000000000
χ6844-4-4-244-44-222-4-4-2-222-200-22200400-2-2-4220000-44-4400000000000000000000000000002-2002-200000000000000000000000
χ6944-4-4-24-444-222-4-422-2-2-200-22200-400224-2-200004-4-440000000000000000000000000000-22002-200000000000000000000000
χ7044-4-4-24-444-222-4-422-2-2-200-22200-400224-2-20000-444-400000000000000000000000000002-200-2200000000000000000000000
χ714-44-44400-4-44-44-40000400-44-4−2i22i200000000−2i22i2−2i22i200000000000000−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ724-44-44400-4-44-44-40000400-44-42i2−2i2000000002i2−2i22i2−2i2000000000000002i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ734-44-44-2002-44-4-220000-2002-22−2i22i20−2i32i300000−2i22i2−2i22i200000000−2i32i30000i2−i2i2−i2i2−i26−66−66−600000000000000000000000000000000000
χ744-44-44-2002-44-4-220000-2002-22−2i22i202i3−2i300000−2i22i2−2i22i2000000002i3−2i30000i2−i2i2−i2i2−i2−66−66−6600000000000000000000000000000000000
χ754-44-44-2002-44-4-220000-2002-222i2−2i20−2i32i3000002i2−2i22i2−2i200000000−2i32i30000−i2i2−i2i2−i2i2−66−66−6600000000000000000000000000000000000
χ764-44-44-2002-44-4-220000-2002-222i2−2i202i3−2i3000002i2−2i22i2−2i2000000002i3−2i30000−i2i2−i2i2−i2i26−66−66−600000000000000000000000000000000000
χ774-44-4-2400-42-224-423−2323−23-2002-22−2i22i200023−23023−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000000000000000000
χ784-44-4-2400-42-224-423−2323−23-2002-222i2−2i200023−23023−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000000000000000000
χ794-44-4-2400-42-224-4−2323−2323-2002-22−2i22i2000−23230−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000000000000000000
χ804-44-4-2400-42-224-4−2323−2323-2002-222i2−2i2000−23230−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000000000000000000
χ814-44-4-2-20022-22-2223−2323−23100-11-1−2i22i20−2i32i3−330−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000i3−i33i−3i00i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ2300000000000000000000000000000000000
χ824-44-4-2-20022-22-2223−2323−23100-11-1−2i22i202i3−2i3−330−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000−i3i3−3i3i00i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ2300000000000000000000000000000000000
χ834-44-4-2-20022-22-2223−2323−23100-11-12i2−2i20−2i32i3−330−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000i3−i33i−3i00−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ2300000000000000000000000000000000000
χ844-44-4-2-20022-22-2223−2323−23100-11-12i2−2i202i3−2i3−330−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000−i3i3−3i3i00−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ2300000000000000000000000000000000000
χ854-44-4-2-20022-22-22−2323−2323100-11-1−2i22i20−2i32i33−303−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000i3−i3−3i3i00i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ76−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ2300000000000000000000000000000000000
χ864-44-4-2-20022-22-22−2323−2323100-11-1−2i22i202i3−2i33−303−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000−i3i33i−3i00i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ2300000000000000000000000000000000000
χ874-44-4-2-20022-22-22−2323−2323100-11-12i2−2i20−2i32i33−303−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000i3−i3−3i3i00−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ2300000000000000000000000000000000000
χ884-44-4-2-20022-22-22−2323−2323100-11-12i2−2i202i3−2i33−303−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000−i3i33i−3i00−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ76−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ2300000000000000000000000000000000000
χ894-4-444400-4-4-44-440000400-4-4400000000000000000000000000000000000000000000000022−220022−2222−220000000000000000000
χ904-4-444400-4-4-44-440000400-4-44000000000000000000000000000000000000000000000000−222200−2222−22220000000000000000000
χ914-4-44-2400-422-2-4423−23−2323-20022-20000023−230−23230000000000000000000000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000
χ924-4-44-2400-422-2-4423−23−2323-20022-20000023−230−232300000000000000000000000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000
χ934-4-44-2400-422-2-44−232323−23-20022-200000−2323023−230000000000000000000000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000
χ944-4-44-2400-422-2-44−232323−23-20022-200000−2323023−2300000000000000000000000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000
χ9588-8-8-4-48-8-4-44444-4-4442002-2-200-400224-2-200000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-88-4-4444444-4-42002-2-200400-2-2-42200000000000000000000000000000000000000000000000000000000000000000
χ978-8-888-4004-8-884-40000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400444-44-443−43−4343200-2-2200000−2323023−2300000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400444-44-4−434343−43200-2-220000023−230−232300000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.