Finite Group Databasebeta

← Group #11898362

Character table — Group #11898362

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666344466612121212121212121212121212121212444441212121212121212121212121212121212121212448888121212128888224466121212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-11111111111-1-1-1-1111111111-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111-1-1-1-1111111111-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111111111-1-1-1-11
χ8111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-111-1-1-111111-1-111-1-1-11-1
χ10111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1111-11
χ11111111-1-1111111111-111111-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111-1-1-1-11-1-11111-1-1-111-1-1-1-111-111
χ12111111-1-1111111111-111111-1-1-1-11111111-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-111-1-111111111-1-1111-1-1-1-1-11111-1-11-1-1
χ13111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-11111-1111-1-111-1-1111111-1-111-11-1-111-1-1-1-1-1-11-11
χ14111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-11-1-1111-11-1-1-1-1111111-11-1
χ15111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-1-111-1-1-11-11111-1-111111-1-1
χ16111111-1-1111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-111111-1-1-111-1-1111111-1-111-1-11-111-1-111-1-1-1-1-111
χ1722222222-2-22222222-2002222222-2-2-200002222-222220-200-20000-2-2-2-200000000-2-2000022220000000000-2-20000000000000
χ1822222222-2-22222222-2002222222-2-2-200002222-2-2-2-2-20-200-20000-2-2-2-200000000220000-2-2-2-20000000000220000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-222-2-2020020000-2-222000000002-2000022-2-200000000002-20000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-222020020000-2-22200000000-220000-2-2220000000000-220000000000000
χ2122222-1222222-12-1-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100002020-1-1-1-1-1-100000000000
χ2222222-1222222-12-1-1-1222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12-2-2-2-22222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011110000-20-2011111100000000000
χ2322222-1222222-12-1-1-12-2-2-1-1-122-1-12-1-11111-1-1-1-122222-22-2-2-1-2-211-1-1-1-111111111220000-1-1-1-10000-20-2011-1-11100000000000
χ2422222-1222222-12-1-1-12-2-2-1-1-122-1-12-1-11111-1-1-1-12-2-2-2-2-22-2-2-1-2-211-1-1-1-111111111-2-20000111100002020-1-111-1-100000000000
χ2522222-122-2-222-12-1-1-1-200-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-222220-200100−i3i31111−i3−i3i3i3−i3−i3i3i3-2-20000-1-1-1-100000000−i3i311−i3i300000000000
χ2622222-122-2-222-12-1-1-1-200-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-2-2-2-2-20-200100−i3i31111−i3−i3i3i3−i3−i3i3i3220000111100000000i3−i3-1-1i3−i300000000000
χ2722222-122-2-222-12-1-1-1-200-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-222220-200100i3−i31111i3i3−i3−i3i3i3−i3−i3-2-20000-1-1-1-100000000i3−i311i3−i300000000000
χ2822222-122-2-222-12-1-1-1-200-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-2-2-2-2-20-200100i3−i31111i3i3−i3−i3i3i3−i3−i3220000111100000000−i3i3-1-1−i3i300000000000
χ2922222-1-2-22222-12-1-1-1-222-1-1-1-2-2112-1-1-1-1-1-11111222-2-2-2-2221-2-211-1-111-1-1-1-11111-220000-1-1110000-2020111-1-1-100000000000
χ3022222-1-2-22222-12-1-1-1-222-1-1-1-2-2112-1-1-1-1-1-111112-2-222-2-2221-2-211-1-111-1-1-1-111112-2000011-1-1000020-20-1-1-111100000000000
χ3122222-1-2-22222-12-1-1-1-2-2-2-1-1-1-2-2112-1-111111111222-2-22-2-2-2122-1-1-1-1111111-1-1-1-1-220000-1-111000020-20-1-11-11100000000000
χ3222222-1-2-22222-12-1-1-1-2-2-2-1-1-1-2-2112-1-1111111112-2-2222-2-2-2122-1-1-1-1111111-1-1-1-12-2000011-1-10000-202011-11-1-100000000000
χ3322222-1-2-2-2-222-12-1-1-1200-1-1-1-2-211-211−i3−i3i3i31111-222-2-20200-100i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-20000-1-11100000000i3−i3-11−i3i300000000000
χ3422222-1-2-2-2-222-12-1-1-1200-1-1-1-2-211-211−i3−i3i3i31111-2-2-2220200-100i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22000011-1-100000000−i3i31-1i3−i300000000000
χ3522222-1-2-2-2-222-12-1-1-1200-1-1-1-2-211-211i3i3−i3−i31111-222-2-20200-100−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-20000-1-11100000000−i3i3-11i3−i300000000000
χ3622222-1-2-2-2-222-12-1-1-1200-1-1-1-2-211-211i3i3−i3−i31111-2-2-2220200-100−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22000011-1-100000000i3−i31-1−i3i300000000000
χ372222-122222-1-12-122-1222-1-1-1-1-122-1222222-1-1-1-1-100002-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222000000000202000000-1-1-1-10000-1-10
χ382222-122222-1-12-122-1222-1-1-1-1-122-1222222-1-1-1-1-100002-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000000-20-200000011110000110
χ392222-122222-1-12-122-12-2-2-1-1-1-1-122-122-2-2-2-2-1-1-1-1-10000-2-111211-2-2-1-1-1-111111111002222000000000-20-2000000-1-1-1-10000110
χ402222-122222-1-12-122-12-2-2-1-1-1-1-122-122-2-2-2-2-1-1-1-1-10000-2-111211-2-2-1-1-1-11111111100-2-2-2-200000000020200000011110000-1-10
χ412222-12-2-222-1-12-122-1-222-1-1-111-2-2-12222221111-10000-21-1-1-211-2-2-1-111-1-1-1-111110022-2-2000000000-202000000-1-11100001-10
χ422222-12-2-222-1-12-122-1-222-1-1-111-2-2-12222221111-10000-21-1-1-211-2-2-1-111-1-1-1-1111100-2-22200000000020-200000011-1-10000-110
χ432222-12-2-222-1-12-122-1-2-2-2-1-1-111-2-2-122-2-2-2-21111-100002111-2-1-122-1-1111111-1-1-1-10022-2-200000000020-2000000-1-1110000-110
χ442222-12-2-222-1-12-122-1-2-2-2-1-1-111-2-2-122-2-2-2-21111-100002111-2-1-122-1-1111111-1-1-1-100-2-222000000000-20200000011-1-100001-10
χ452-22-2222i−2i00-22-2-22-22000-22-22i−2i2i−2i00000002i2i−2i−2i02i−2i2-200000000000000000000000−i2i22−22i−2i2-222−2−20000000000−i2i22−200−i2i2000
χ462-22-2222i−2i00-22-2-22-22000-22-22i−2i2i−2i00000002i2i−2i−2i02i−2i2-200000000000000000000000i2−i2−222i−2i2-2−2−2220000000000i2−i2−2200i2−i2000
χ472-22-2222i−2i00-22-2-22-22000-22-22i−2i2i−2i00000002i2i−2i−2i0−2i2i-2200000000000000000000000−i2i22−2−2i2i-22−2−2220000000000−i2i22−200i2−i2000
χ482-22-2222i−2i00-22-2-22-22000-22-22i−2i2i−2i00000002i2i−2i−2i0−2i2i-2200000000000000000000000i2−i2−22−2i2i-2222−2−20000000000i2−i2−2200−i2i2000
χ492-22-222−2i2i00-22-2-22-22000-22-2−2i2i−2i2i0000000−2i−2i2i2i02i−2i-2200000000000000000000000−i2i2−222i−2i-2222−2−20000000000−i2i2−2200i2−i2000
χ502-22-222−2i2i00-22-2-22-22000-22-2−2i2i−2i2i0000000−2i−2i2i2i02i−2i-2200000000000000000000000i2−i22−22i−2i-22−2−2220000000000i2−i22−200−i2i2000
χ512-22-222−2i2i00-22-2-22-22000-22-2−2i2i−2i2i0000000−2i−2i2i2i0−2i2i2-200000000000000000000000−i2i2−22−2i2i2-2−2−2220000000000−i2i2−2200−i2i2000
χ522-22-222−2i2i00-22-2-22-22000-22-2−2i2i−2i2i0000000−2i−2i2i2i0−2i2i2-200000000000000000000000i2−i22−2−2i2i2-222−2−20000000000i2−i22−200i2−i2000
χ532-2-2222002-2-2-2-22-22202i−2i-2-22000022-22i−2i2i−2i0000-20000002i−2i000002-2002i−2i2i−2i000000000000002-22-2000000000000002i−2i00000
χ542-2-2222002-2-2-2-22-22202i−2i-2-22000022-22i−2i2i−2i0000-20000002i−2i000002-2002i−2i2i−2i00000000000000-22-2200000000000000−2i2i00000
χ552-2-2222002-2-2-2-22-2220−2i2i-2-22000022-2−2i2i−2i2i0000-2000000−2i2i000002-200−2i2i−2i2i000000000000002-22-200000000000000−2i2i00000
χ562-2-2222002-2-2-2-22-2220−2i2i-2-22000022-2−2i2i−2i2i0000-2000000−2i2i000002-200−2i2i−2i2i00000000000000-22-22000000000000002i−2i00000
χ574444-2444-4-4-2-24-244-2-400-2-2-2-2-2442-4-40000-2-2-2-2200000200-4000022220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-24-244-2400-2-2-222-4-42-4-400002222200000-2004000022-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-2-2-222221111-20000-4-222-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111-2-2-2-2222−2i3−2i32i32i31111200000200200−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111-2-2-2-22222i32i3−2i3−2i311112000002002002i3−2i3-1-1-1-1−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
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-41112222-2-2-22222-1-1-1-1-2000042222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214001112222222−2i3−2i32i32i3-1-1-1-1200000-200-2002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2140011122222222i32i3−2i3−2i3-1-1-1-1200000-200-200−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44400004-44-4-4-440004-4-400000000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ6844-4-44400004-44-4-4-440004-4-4000000000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ694-44-44-24i−4i00-442-4-22-20002-224i−4i−2i2i0000000−2i−2i2i2i04i−4i4-4000000000000000000000000000−2i2i-220000000000000000000000000
χ704-44-44-24i−4i00-442-4-22-20002-224i−4i−2i2i0000000−2i−2i2i2i0−4i4i-440000000000000000000000000002i−2i2-20000000000000000000000000
χ714-44-44-2−4i4i00-442-4-22-20002-22−4i4i2i−2i00000002i2i−2i−2i04i−4i-44000000000000000000000000000−2i2i2-20000000000000000000000000
χ724-44-44-2−4i4i00-442-4-22-20002-22−4i4i2i−2i00000002i2i−2i−2i0−4i4i4-40000000000000000000000000002i−2i-220000000000000000000000000
χ734-44-4-244i−4i002-2-424-4-20002-22−2i2i4i−4i0000000−2i−2i2i2i0000000000000000000000000000−2i22i222−22000000000000000000i2−i2−220000000
χ744-44-4-244i−4i002-2-424-4-20002-22−2i2i4i−4i0000000−2i−2i2i2i00000000000000000000000000002i2−2i2−2222000000000000000000−i2i22−20000000
χ754-44-4-24−4i4i002-2-424-4-20002-222i−2i−4i4i00000002i2i−2i−2i0000000000000000000000000000−2i22i2−2222000000000000000000i2−i22−20000000
χ764-44-4-24−4i4i002-2-424-4-20002-222i−2i−4i4i00000002i2i−2i−2i00000000000000000000000000002i2−2i222−22000000000000000000−i2i2−220000000
χ774-4-444400-44-4-4-44-444000-4-440000-4-440000000040000000000000-44000000000000000000000000000000000000000000000
χ784-4-444-2004-4-4-4242-2-204i−4i22-200004-22−2i2i−2i2i0000-40000004i−4i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ794-4-444-2004-4-4-4242-2-20−4i4i22-200004-222i−2i2i−2i0000-4000000−4i4i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ804-4-444-200-44-4-4242-2-200022-20000-42-223−23−23230000400000000000002-20023−23−2323000000000000000000000000000000000000000
χ814-4-444-200-44-4-4242-2-200022-20000-42-2−232323−230000400000000000002-200−232323−23000000000000000000000000000000000000000
χ824-4-44-24004-422-4-2-44-204i−4i22-20000-24-44i−4i4i−4i00002000000−2i2i00000-2200−2i2i−2i2i000000000000000000000000000000000000000
χ834-4-44-24004-422-4-2-44-20−4i4i22-20000-24-4−4i4i−4i4i000020000002i−2i00000-22002i−2i2i−2i000000000000000000000000000000000000000
χ844-4-44-2400-4422-4-2-44-200022-200002-4400000000-2000000000−2i32i3002-2000000−2i32i3−2i32i300000000000000000000000000000000000
χ854-4-44-2400-4422-4-2-44-200022-200002-4400000000-20000000002i3−2i3002-20000002i3−2i32i3−2i300000000000000000000000000000000000
χ864-4-44-2-2004-4222-22-2104i−4i-1-110000-2-22−2i2i−2i2i3i−3i3i−3i2000000−2i2i000001-13i−3ii−ii−i3-3-3300000000000000000000000000000000000
χ874-4-44-2-2004-4222-22-2104i−4i-1-110000-2-22−2i2i−2i2i−3i3i−3i3i2000000−2i2i000001-1−3i3ii−ii−i-333-300000000000000000000000000000000000
χ884-4-44-2-2004-4222-22-210−4i4i-1-110000-2-222i−2i2i−2i3i−3i3i−3i20000002i−2i000001-13i−3i−ii−ii-333-300000000000000000000000000000000000
χ894-4-44-2-2004-4222-22-210−4i4i-1-110000-2-222i−2i2i−2i−3i3i−3i3i20000002i−2i000001-1−3i3i−ii−ii3-3-3300000000000000000000000000000000000
χ904-4-44-2-200-44222-22-21000-1-11000022-223−23−23233i−3i3i−3i-20000000002i3−2i300-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000000
χ914-4-44-2-200-44222-22-21000-1-11000022-223−23−2323−3i3i−3i3i-2000000000−2i32i300-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000000
χ924-4-44-2-200-44222-22-21000-1-11000022-2−232323−233i−3i3i−3i-2000000000−2i32i300-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000000
χ934-4-44-2-200-44222-22-21000-1-11000022-2−232323−23−3i3i−3i3i-20000000002i3−2i300-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000000
χ9488-8-88-400008-8-4-844-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-480000-4484-8-8-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-40000-44-444420002-2-2000000000006-6-660000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-40000-44-444420002-2-200000000000-666-60000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-48i−8i004-444-442000-22-2−4i4i−4i4i00000002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4−8i8i004-444-442000-22-24i−4i4i−4i0000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000

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