Finite Group Databasebeta

← Group #11887156

Character table — Group #11887156

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666344466612121212121212121212121212121212222241212121212121212121212121212121212121212446666888888882244121212121212242424242288664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ5111111111111111111-1-11111111111-1-1-1-1111111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111-1-1-1-1111111111-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11
χ8111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111-1-1-1-1-111-11-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-111111-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-11-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-111111-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-11-1-1-11111-111-1-1-1-1-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-11-1-1-11111-111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-11111-111-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-11111-111-1-1-1-1-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-2002222222-2-2-200002222-222220-2000000-2-2-2-2-200000000-2-22222000000000000-2-2000000000000000
χ1822222222-2-22222222-2002222222-2-2-200002222-2-2-2-2-20-2000000-2-2-2-2-20000000022-2-2-2-200000000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-222-2-2020000002-2-22200000000-2222-2-2000000000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-222020000002-2-222000000002-2-2-2220000000000002-2000000000000000
χ2122222-122222-1-1-122-1222-1-1-122-1-1-1222222-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000222200002200000000-1-1-1-10000-1-10
χ2222222-122222-1-1-122-1222-1-1-122-1-1-1222222-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-20000-2-20000000011110000110
χ2322222-122222-1-1-122-12-2-2-1-1-122-1-1-122-2-2-2-2-1-1-1-1-10000-2-11111-2-22-1-1-1-11111111100000022220000-2-200000000-1-1-1-10000110
χ2422222-122222-1-1-122-12-2-2-1-1-122-1-1-122-2-2-2-2-1-1-1-1-10000-2-11111-2-22-1-1-1-111111111000000-2-2-2-20000220000000011110000-1-10
χ2522222-1-2-2222-1-1-122-1-222-1-1-1-2-211-12222221111-10000-21-1-111-2-2-2-1-111-1-1-1-1111100000022-2-200002-200000000-1-1110000-110
χ2622222-1-2-2222-1-1-122-1-222-1-1-1-2-211-12222221111-10000-21-1-111-2-2-2-1-111-1-1-1-11111000000-2-2220000-220000000011-1-100001-10
χ2722222-1-2-2222-1-1-122-1-2-2-2-1-1-1-2-211-122-2-2-2-21111-100002111-1-122-2-1-1111111-1-1-1-100000022-2-20000-2200000000-1-11100001-10
χ2822222-1-2-2222-1-1-122-1-2-2-2-1-1-1-2-211-122-2-2-2-21111-100002111-1-122-2-1-1111111-1-1-1-1000000-2-22200002-20000000011-1-10000-110
χ292222-122222-1222-1-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000022-1-1-1-1-1-100000000000
χ302222-122222-1222-1-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000000-2-211111100000000000
χ312222-122222-1222-1-1-12-2-2-1-1-1-1-1222-1-11111-1-1-1-122222-22-2-2-2-211-1-1-1-1-11111111122-1-1-1-10000000000-2-2-1-1111100000000000
χ322222-122222-1222-1-1-12-2-2-1-1-1-1-1222-1-11111-1-1-1-12-2-2-2-2-22-2-2-2-211-1-1-1-1-111111111-2-2111100000000002211-1-1-1-100000000000
χ332222-1222-2-2-1222-1-1-1-200-1-1-1-1-122-211−i3−i3i3i3-1-1-1-1-222220-20000−i3i311111−i3−i3i3i3−i3−i3i3i3-2-2-1-1-1-100000000000011−i3i3−i3i300000000000
χ342222-1222-2-2-1222-1-1-1-200-1-1-1-1-122-211−i3−i3i3i3-1-1-1-1-2-2-2-2-20-20000−i3i311111−i3−i3i3i3−i3−i3i3i3221111000000000000-1-1i3−i3i3−i300000000000
χ352222-1222-2-2-1222-1-1-1-200-1-1-1-1-122-211i3i3−i3−i3-1-1-1-1-222220-20000i3−i311111i3i3−i3−i3i3i3−i3−i3-2-2-1-1-1-100000000000011i3−i3i3−i300000000000
χ362222-1222-2-2-1222-1-1-1-200-1-1-1-1-122-211i3i3−i3−i3-1-1-1-1-2-2-2-2-20-20000i3−i311111i3i3−i3−i3i3i3−i3−i3221111000000000000-1-1−i3i3−i3i300000000000
χ372222-12-2-222-1222-1-1-1-222-1-1-111-2-22-1-1-1-1-1-11111222-2-2-2-222-2-2111-1-111-1-1-1-111112-2-1-11100000000002-2-11-1-11100000000000
χ382222-12-2-222-1222-1-1-1-222-1-1-111-2-22-1-1-1-1-1-111112-2-222-2-222-2-2111-1-111-1-1-1-11111-2211-1-10000000000-221-111-1-100000000000
χ392222-12-2-222-1222-1-1-1-2-2-2-1-1-111-2-22-1-111111111222-2-22-2-2-222-1-11-1-1111111-1-1-1-12-2-1-1110000000000-22-1111-1-100000000000
χ402222-12-2-222-1222-1-1-1-2-2-2-1-1-111-2-22-1-1111111112-2-2222-2-2-222-1-11-1-1111111-1-1-1-1-2211-1-100000000002-21-1-1-11100000000000
χ412222-12-2-2-2-2-1222-1-1-1200-1-1-111-2-2-211−i3−i3i3i31111-222-2-2020000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i3-22-1-1110000000000001-1−i3i3i3−i300000000000
χ422222-12-2-2-2-2-1222-1-1-1200-1-1-111-2-2-211−i3−i3i3i31111-2-2-222020000i3−i3-111-1-1−i3−i3i3i3i3i3−i3−i32-211-1-1000000000000-11i3−i3−i3i300000000000
χ432222-12-2-2-2-2-1222-1-1-1200-1-1-111-2-2-211i3i3−i3−i31111-222-2-2020000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i3-22-1-1110000000000001-1i3−i3−i3i300000000000
χ442222-12-2-2-2-2-1222-1-1-1200-1-1-111-2-2-211i3i3−i3−i31111-2-2-222020000−i3i3-111-1-1i3i3−i3−i3−i3−i3i3i32-211-1-1000000000000-11−i3i3i3−i300000000000
χ4522-2-222002-2-2-22-22-2202i−2i-22-2000022-22i−2i2i−2i0000-20000002i−2i000002-2002i−2i2i−2i000000000000002i2i−2i−2i000000000000002-200000
χ4622-2-222002-2-2-22-22-2202i−2i-22-2000022-22i−2i2i−2i0000-20000002i−2i000002-2002i−2i2i−2i00000000000000−2i−2i2i2i00000000000000-2200000
χ4722-2-222002-2-2-22-22-220−2i2i-22-2000022-2−2i2i−2i2i0000-2000000−2i2i000002-200−2i2i−2i2i000000000000002i2i−2i−2i00000000000000-2200000
χ4822-2-222002-2-2-22-22-220−2i2i-22-2000022-2−2i2i−2i2i0000-2000000−2i2i000002-200−2i2i−2i2i00000000000000−2i−2i2i2i000000000000002-200000
χ492-2-22222-20022-2-2-2-220002-2-22-22-2000000022-2-202-22-2000000000000000000000002-22-2−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i200−i2i2000
χ502-2-22222-20022-2-2-2-220002-2-22-22-2000000022-2-202-22-2000000000000000000000002-22-2i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i200i2−i2000
χ512-2-22222-20022-2-2-2-220002-2-22-22-2000000022-2-20-22-2200000000000000000000000-22-22−i2i2−i2i2i2−i2i2−i20000000000−i2i2−i2i200i2−i2000
χ522-2-22222-20022-2-2-2-220002-2-22-22-2000000022-2-20-22-2200000000000000000000000-22-22i2−i2i2−i2−i2i2−i2i20000000000i2−i2i2−i200−i2i2000
χ532-2-2222-220022-2-2-2-220002-2-2-22-220000000-2-22202-2-22000000000000000000000002-2-22−i2i2i2−i2−i2i2−i2i20000000000−i2i2i2−i200i2−i2000
χ542-2-2222-220022-2-2-2-220002-2-2-22-220000000-2-22202-2-22000000000000000000000002-2-22i2−i2−i2i2i2−i2i2−i20000000000i2−i2−i2i200−i2i2000
χ552-2-2222-220022-2-2-2-220002-2-2-22-220000000-2-2220-222-200000000000000000000000-222-2−i2i2i2−i2i2−i2i2−i20000000000−i2i2i2−i200−i2i2000
χ562-2-2222-220022-2-2-2-220002-2-2-22-220000000-2-2220-222-200000000000000000000000-222-2i2−i2−i2i2−i2i2−i2i20000000000i2−i2−i2i200i2−i2000
χ5744444-244-4-44-2-2-244-2-400-2-2-244-2-22-4-40000-2-2-2-22000002000000-422220000000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-2-244-2400-2-2-2-4-4222-4-400002222200000-2000000422-2-20000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-200004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-2-2-222221111-20000-4-2222222-21111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111-2-2-2-2222−2i3−2i32i32i3111120000020000−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111-2-2-2-22222i32i3−2i3−2i31111200000200002i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4441112222-2-2-2-2-2-2-2-1-1-1-1-20000-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-41112222-2-2-22222-1-1-1-1-200004222-2-2-2-2211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214001112222222−2i3−2i32i32i3-1-1-1-1200000-200002i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2140011122222222i32i3−2i3−2i3-1-1-1-1200000-20000−2i32i3-2-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44400-44-4-44-44-44000-44-40000-4-440000000040000000000000-44000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-42-224-4-204i−4i2-220000-24-44i−4i4i−4i00002000000−2i2i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ6944-4-44-2004-4-42-224-4-20−4i4i2-220000-24-4−4i4i−4i4i000020000002i−2i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ7044-4-44-200-44-42-224-4-20002-2200002-4400000000-200000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ7144-4-44-200-44-42-224-4-20002-2200002-4400000000-2000000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ7244-4-4-24004-42-44-4-22-204i−4i2-2200004-22−2i2i−2i2i0000-40000004i−4i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ7344-4-4-24004-42-44-4-22-20−4i4i2-2200004-222i−2i2i−2i0000-4000000−4i4i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ7444-4-4-2400-442-44-4-22-20002-220000-42-223−23−23230000400000000000002-20023−23−2323000000000000000000000000000000000000000
χ7544-4-4-2400-442-44-4-22-20002-220000-42-2−232323−230000400000000000002-200−232323−23000000000000000000000000000000000000000
χ7644-4-4-2-2004-422-22-22104i−4i-11-10000-2-22−2i2i−2i2i3i−3i3i−3i2000000−2i2i000001-13i−3ii−ii−i3-3-3300000000000000000000000000000000000
χ7744-4-4-2-2004-422-22-22104i−4i-11-10000-2-22−2i2i−2i2i−3i3i−3i3i2000000−2i2i000001-1−3i3ii−ii−i-333-300000000000000000000000000000000000
χ7844-4-4-2-2004-422-22-2210−4i4i-11-10000-2-222i−2i2i−2i3i−3i3i−3i20000002i−2i000001-13i−3i−ii−ii-333-300000000000000000000000000000000000
χ7944-4-4-2-2004-422-22-2210−4i4i-11-10000-2-222i−2i2i−2i−3i3i−3i3i20000002i−2i000001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000000
χ8044-4-4-2-200-4422-22-221000-11-1000022-223−23−23233i−3i3i−3i-2000000002i3−2i3000-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000000
χ8144-4-4-2-200-4422-22-221000-11-1000022-223−23−2323−3i3i−3i3i-200000000−2i32i3000-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000000
χ8244-4-4-2-200-4422-22-221000-11-1000022-2−232323−233i−3i3i−3i-200000000−2i32i3000-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000000
χ8344-4-4-2-200-4422-22-221000-11-1000022-2−232323−23−3i3i−3i3i-2000000002i3−2i3000-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000000
χ844-44-4440000-4-4-44-444000-4-4400000000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ854-44-4440000-4-4-44-444000-4-44000000000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ864-4-444-24-4004-222-4-4-2000-2224-4-220000000-2-22200000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i20000000
χ874-4-444-24-4004-222-4-4-2000-2224-4-220000000-2-222000000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i20000000
χ884-4-444-2-44004-222-4-4-2000-222-442-2000000022-2-200000000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i20000000
χ894-4-444-2-44004-222-4-4-2000-222-442-2000000022-2-2000000000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i20000000
χ904-4-44-244-400-24-4-422-2000-222-224-40000000-2-22204-44-400000000000000000000000-22-2200000000000000000000000000000
χ914-4-44-244-400-24-4-422-2000-222-224-40000000-2-2220-44-44000000000000000000000002-22-200000000000000000000000000000
χ924-4-44-24-4400-24-4-422-2000-2222-2-44000000022-2-204-4-4400000000000000000000000-222-200000000000000000000000000000
χ934-4-44-24-4400-24-4-422-2000-2222-2-44000000022-2-20-444-4000000000000000000000002-2-2200000000000000000000000000000
χ948-88-88-40000-844-4-88-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4800004-8-884-4-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40000444-44-42000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-40000444-44-42000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-800-4-4444420002-2-2-44-44000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-8800-4-4444420002-2-24-44-40000000-2-2220000000000000000000000000000000000000000000000000000000000000

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