Finite Group Databasebeta

← Group #11898305

Character table — Group #11898305

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order12223344446666663444666121212121212121212121212121212124444412121212121212121212121212121212121212124488881212121288882244121212121212242424244488662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-111111111-1-1-1-111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-111111111-1-1-1-111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11
χ8111111111111111111-1-111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111-1-11-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-1111111111-111111-1-11-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-11-111-1-1-1-111-1-111-111
χ11111111-1-1111111111-111111-1-11-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-11-11-1-11111-1-1-1-1111-11
χ12111111-1-1111111111-111111-1-11-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-111-11111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-22222222-20022222-2220000-2-22222-222220-20000-200-2-2-2-200000000-2-20000222200000000-2-2000000000000000
χ1822222222-2-22222222-20022222-2220000-2-22222-2-2-2-2-20-20000-200-2-2-2-200000000220000-2-2-2-20000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-20000-2-2-2-2-2-2-222-2-2020000200-2-22200000000-22000022-2-200000000-22000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-20000-2-2-2-2-2-2-2-2-222020000200-2-222000000002-20000-2-222000000002-2000000000000000
χ2122222-12222-1-1-1222-1222-1-1-1-1-1-122222222-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002222000000002200000000-1-1-1-10000-1-10
χ2222222-12222-1-1-1222-1222-1-1-1-1-1-122222222-1-1-1-1-100002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-20000000011110000110
χ2322222-12222-1-1-1222-12-2-2-1-1-1-1-1-122-2-2-2-222-1-1-1-1-10000-2-111112-2-2-1-1-1-11111111100222200000000-2-200000000-1-1-1-10000110
χ2422222-12222-1-1-1222-12-2-2-1-1-1-1-1-122-2-2-2-222-1-1-1-1-10000-2-111112-2-2-1-1-1-11111111100-2-2-2-200000000220000000011110000-1-10
χ2522222-1-2-222-1-1-1222-1-222-1-1-111-1-2-22222221111-10000-21-1-111-2-2-2-1-111-1-1-1-111110022-2-2000000002-200000000-1-1110000-110
χ2622222-1-2-222-1-1-1222-1-222-1-1-111-1-2-22222221111-10000-21-1-111-2-2-2-1-111-1-1-1-1111100-2-22200000000-220000000011-1-100001-10
χ2722222-1-2-222-1-1-1222-1-2-2-2-1-1-111-1-2-2-2-2-2-2221111-100002111-1-1-222-1-1111111-1-1-1-10022-2-200000000-2200000000-1-11100001-10
χ2822222-1-2-222-1-1-1222-1-2-2-2-1-1-111-1-2-2-2-2-2-2221111-100002111-1-1-222-1-1111111-1-1-1-100-2-222000000002-20000000011-1-10000-110
χ292222-122222222-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100000022-1-1-1-1-1-100000000000
χ302222-122222222-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200001111000000-2-211111100000000000
χ312222-122222222-1-1-1-12-2-2-1-1-1222-1-11111-1-1-1-1-1-122222-22-2-2-2-2-111-1-1-1-111111111220000-1-1-1-1000000-2-2-1-1111100000000000
χ322222-122222222-1-1-1-12-2-2-1-1-1222-1-11111-1-1-1-1-1-12-2-2-2-2-22-2-2-2-2-111-1-1-1-111111111-2-2000011110000002211-1-1-1-100000000000
χ332222-1222-2-2222-1-1-1-1-200-1-1-122-2-1-1−i3−i3i3i311-1-1-1-1-222220-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ342222-1222-2-2222-1-1-1-1-200-1-1-122-2-1-1−i3−i3i3i311-1-1-1-1-2-2-2-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ352222-1222-2-2222-1-1-1-1-200-1-1-122-2-1-1i3i3−i3−i311-1-1-1-1-222220-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ362222-1222-2-2222-1-1-1-1-200-1-1-122-2-1-1i3i3−i3−i311-1-1-1-1-2-2-2-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ372222-12-2-222222-1-1-1-1-222-1-1-1-2-2211-1-1-1-1-1-11111222-2-2-2-222-2-2111-1-111-1-1-1-111112-20000-1-1110000002-2-11-1-11100000000000
χ382222-12-2-222222-1-1-1-1-222-1-1-1-2-2211-1-1-1-1-1-111112-2-222-2-222-2-2111-1-111-1-1-1-11111-22000011-1-1000000-221-111-1-100000000000
χ392222-12-2-222222-1-1-1-1-2-2-2-1-1-1-2-22111111-1-11111222-2-22-2-2-2221-1-1-1-1111111-1-1-1-12-20000-1-111000000-22-1111-1-100000000000
χ402222-12-2-222222-1-1-1-1-2-2-2-1-1-1-2-22111111-1-111112-2-2222-2-2-2221-1-1-1-1111111-1-1-1-1-22000011-1-10000002-21-1-1-11100000000000
χ412222-12-2-2-2-2222-1-1-1-1200-1-1-1-2-2-211−i3−i3i3i3111111-222-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-220000-1-111000000001-1−i3i3i3−i300000000000
χ422222-12-2-2-2-2222-1-1-1-1200-1-1-1-2-2-211−i3−i3i3i3111111-2-2-222020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2000011-1-100000000-11i3−i3−i3i300000000000
χ432222-12-2-2-2-2222-1-1-1-1200-1-1-1-2-2-211i3i3−i3−i3111111-222-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-220000-1-111000000001-1i3−i3−i3i300000000000
χ442222-12-2-2-2-2222-1-1-1-1200-1-1-1-2-2-211i3i3−i3−i3111111-2-2-222020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2000011-1-100000000-11−i3i3i3−i300000000000
χ452-22-222002-2-22-2-2-22202i−2i-22-2002002i−2i2i−2i2-20000-20000002i−2i000002-2002i−2i2i−2i0000000000000022-2-2000000000000002i−2i00000
χ462-22-222002-2-22-2-2-22202i−2i-22-2002002i−2i2i−2i2-20000-20000002i−2i000002-2002i−2i2i−2i00000000000000-2-22200000000000000−2i2i00000
χ472-22-222002-2-22-2-2-2220−2i2i-22-200200−2i2i−2i2i2-20000-2000000−2i2i000002-200−2i2i−2i2i0000000000000022-2-200000000000000−2i2i00000
χ482-22-222002-2-22-2-2-2220−2i2i-22-200200−2i2i−2i2i2-20000-2000000−2i2i000002-200−2i2i−2i2i00000000000000-2-222000000000000002i−2i00000
χ492-2-22222-2002-2-22-2-220002-2-22-202-200000022-2-202-22-200000000000000000000000−i2i2−i2i22-22-2−i2i2−i2i20000000000−i2i2−i2i200−i2i2000
χ502-2-22222-2002-2-22-2-220002-2-22-202-200000022-2-202-22-200000000000000000000000i2−i2i2−i22-22-2i2−i2i2−i20000000000i2−i2i2−i200i2−i2000
χ512-2-22222-2002-2-22-2-220002-2-22-202-200000022-2-20-22-2200000000000000000000000−i2i2−i2i2-22-22i2−i2i2−i20000000000−i2i2−i2i200i2−i2000
χ522-2-22222-2002-2-22-2-220002-2-22-202-200000022-2-20-22-2200000000000000000000000i2−i2i2−i2-22-22−i2i2−i2i20000000000i2−i2i2−i200−i2i2000
χ532-2-2222-22002-2-22-2-220002-2-2-220-22000000-2-22202-2-2200000000000000000000000−i2i2i2−i22-2-22−i2i2−i2i20000000000−i2i2i2−i200i2−i2000
χ542-2-2222-22002-2-22-2-220002-2-2-220-22000000-2-22202-2-2200000000000000000000000i2−i2−i2i22-2-22i2−i2i2−i20000000000i2−i2−i2i200−i2i2000
χ552-2-2222-22002-2-22-2-220002-2-2-220-22000000-2-2220-222-200000000000000000000000−i2i2i2−i2-222-2i2−i2i2−i20000000000−i2i2i2−i200−i2i2000
χ562-2-2222-22002-2-22-2-220002-2-2-220-22000000-2-2220-222-200000000000000000000000i2−i2−i2i2-222-2−i2i2−i2i20000000000i2−i2−i2i200i2−i2000
χ5744444-244-4-4-2-2-2444-2-400-2-2-2-2-22440000-4-4-2-2-2-220000020000-40022220000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-2-2444-2400-2-2-2222-4-40000-4-42222200000-2000040022-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-22222-2-21111-20000-4-22222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111-2-22-2-2−2i3−2i32i32i3221111200000200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111-2-22-2-22i32i3−2i3−2i32211112000002000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-44411122-222-2-2-2-2-2-2-1-1-1-1-20000-42-2-22222211-1-11111-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-411122-2222222-2-2-1-1-1-1-200004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-2140011122222−2i3−2i32i32i322-1-1-1-1200000-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21400111222222i32i3−2i3−2i322-1-1-1-1200000-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-4440000-4-44-44-44000-4-44000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ6844-4-4440000-4-44-44-44000-4-440000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ694-44-44400-44-44-4-4-444000-44-400-4000000-44000040000000000000-44000000000000000000000000000000000000000000000
χ704-44-44-2004-42-22-4-44-204i−4i2-2200-2004i−4i4i−4i4-400002000000−2i2i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ714-44-44-2004-42-22-4-44-20−4i4i2-2200-200−4i4i−4i4i4-4000020000002i−2i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ724-44-44-200-442-22-4-44-20002-22002000000-440000-200000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ734-44-44-200-442-22-4-44-20002-22002000000-440000-2000000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ744-44-4-24004-4-44-422-2-204i−4i2-2200400−2i2i−2i2i-220000-40000004i−4i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ754-44-4-24004-4-44-422-2-20−4i4i2-22004002i−2i2i−2i-220000-4000000−4i4i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ764-44-4-2400-44-44-422-2-20002-2200-40023−23−23232-20000400000000000002-20023−23−2323000000000000000000000000000000000000000
χ774-44-4-2400-44-44-422-2-20002-2200-400−232323−232-20000400000000000002-200−232323−23000000000000000000000000000000000000000
χ784-44-4-2-2004-42-2222-2104i−4i-11-100-200−2i2i−2i2i-223i−3i3i−3i2000000−2i2i000001-13i−3ii−ii−i3-3-3300000000000000000000000000000000000
χ794-44-4-2-2004-42-2222-2104i−4i-11-100-200−2i2i−2i2i-22−3i3i−3i3i2000000−2i2i000001-1−3i3ii−ii−i-333-300000000000000000000000000000000000
χ804-44-4-2-2004-42-2222-210−4i4i-11-100-2002i−2i2i−2i-223i−3i3i−3i20000002i−2i000001-13i−3i−ii−ii-333-300000000000000000000000000000000000
χ814-44-4-2-2004-42-2222-210−4i4i-11-100-2002i−2i2i−2i-22−3i3i−3i3i20000002i−2i000001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000000
χ824-44-4-2-200-442-2222-21000-11-10020023−23−23232-23i−3i3i−3i-2000000002i3−2i3000-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000000
χ834-44-4-2-200-442-2222-21000-11-10020023−23−23232-2−3i3i−3i3i-200000000−2i32i3000-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000000
χ844-44-4-2-200-442-2222-21000-11-100200−232323−232-23i−3i3i−3i-200000000−2i32i3000-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000000
χ854-44-4-2-200-442-2222-21000-11-100200−232323−232-2−3i3i−3i3i-2000000002i3−2i3000-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000000
χ864-4-444-24-400-2224-4-4-2000-222-2204-4000000-2-2220000000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000
χ874-4-444-24-400-2224-4-4-2000-222-2204-4000000-2-22200000000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000
χ884-4-444-2-4400-2224-4-4-2000-2222-20-4400000022-2-20000000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000
χ894-4-444-2-4400-2224-4-4-2000-2222-20-4400000022-2-200000000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000
χ904-4-44-244-4004-4-4-222-2000-2224-40-22000000-2-22204-44-4000000000000000000000000000-22-220000000000000000000000000
χ914-4-44-244-4004-4-4-222-2000-2224-40-22000000-2-2220-44-440000000000000000000000000002-22-20000000000000000000000000
χ924-4-44-24-44004-4-4-222-2000-222-4402-200000022-2-204-4-44000000000000000000000000000-222-20000000000000000000000000
χ934-4-44-24-44004-4-4-222-2000-222-4402-200000022-2-20-444-40000000000000000000000000002-2-220000000000000000000000000
χ9488-8-88-4000044-4-88-8-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-480000-8-884-44-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4000044-44-442000-2-22000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4000044-44-442000-2-2200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-800-444-44420002-2-2-440-4400000022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-8800-444-44420002-2-24-404-4000000-2-2220000000000000000000000000000000000000000000000000000000000000

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