Finite Group Databasebeta

← Group #11887444

Character table — Group #11887444

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666344466612121212121212121212121212121212224426666666612121212121212121212121224668888121288882444612121212122424242422886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-111-1
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
χ5111111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11-11-111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-11111111111-1-1-1-11
χ8111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-1111111111-111111-1-1111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-111111-1-1-1-111111-1-11-11-1-11111-1-111-1-11-1-1
χ10111111-1-1111111111-111111-1-1111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1111-1-111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-111-111
χ11111111-1-1111111111-111111-1-1111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-111-1-111111-1-1-111-1-111-1-1-1-111-1-11-111-1-111-1-1-1-1111-11
χ12111111-1-1111111111-111111-1-1111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-111-1-111111-1-1-1-1-111111111-111-11-111-1-1-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-11111-111-1-1111-1-111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-11111111-1-1
χ15111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1111-1-1-11111-1-11111-11-1
χ16111111-1-1111111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1111111111-1-111-1-1-111-1-111-1-1-1-11-11
χ1722222222-2-22222222-20022222-2-2-22200002222-22222000000000-200-2-2-2-2-20000-2-22200002200000000-2-2000000000000000
χ1822222222-2-22222222-20022222-2-2-22200002222-2-2-2-2-2000000000-200-2-2-2-2-2000022-2-20000-2-20000000022000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-222-2-20000000002002-2-22200002-2220000-2-2000000002-2000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2220000000002002-2-2220000-22-2-200002200000000-22000000000000000
χ2122222-12222222-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-10000-1-100000202-1-1-1-1-1-100000000000
χ2222222-12222222-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-21100001100000-20-211111100000000000
χ2322222-12222222-1-1-1-12-2-2-1-1-1222-1-1-1-11111-1-1-1-122222-2-2-21111112-2-2-1-1-1-1-1111122-1-10000-1-100000-20-2-1-1111100000000000
χ2422222-12222222-1-1-1-12-2-2-1-1-1222-1-1-1-11111-1-1-1-12-2-2-2-2-2-2-21111112-2-2-1-1-1-1-11111-2-2110000110000020211-1-1-1-100000000000
χ2522222-122-2-2222-1-1-1-1-200-1-1-122-211-1-1−i3−i3i3i3-1-1-1-1-22222000−i3i3−i3−i3i3i3-20011111−i3−i3i3i3-2-2-1-10000-1-10000000011−i3i3−i3i300000000000
χ2622222-122-2-2222-1-1-1-1-200-1-1-122-211-1-1−i3−i3i3i3-1-1-1-1-2-2-2-2-2000−i3i3−i3−i3i3i3-20011111−i3−i3i3i3221100001100000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-2222-1-1-1-1-200-1-1-122-211-1-1i3i3−i3−i3-1-1-1-1-22222000i3−i3i3i3−i3−i3-20011111i3i3−i3−i3-2-2-1-10000-1-10000000011i3−i3i3−i300000000000
χ2822222-122-2-2222-1-1-1-1-200-1-1-122-211-1-1i3i3−i3−i3-1-1-1-1-2-2-2-2-2000i3−i3i3i3−i3−i3-20011111i3i3−i3−i3221100001100000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-222222-1-1-1-1-222-1-1-1-2-22-1-111-1-1-1-11111222-2-2-2-2-2111111-2221-1-111-1-1-1-1-22-1-100001100000-2021-111-1-100000000000
χ3022222-1-2-222222-1-1-1-1-222-1-1-1-2-22-1-111-1-1-1-111112-2-222-2-2-2111111-2221-1-111-1-1-1-12-2110000-1-10000020-2-11-1-11100000000000
χ3122222-1-2-222222-1-1-1-1-2-2-2-1-1-1-2-22-1-11111111111222-2-2222-1-1-1-1-1-1-2-2-21-1-1111111-22-1-10000110000020-21-1-1-11100000000000
χ3222222-1-2-222222-1-1-1-1-2-2-2-1-1-1-2-22-1-111111111112-2-222222-1-1-1-1-1-1-2-2-21-1-11111112-2110000-1-100000-202-1111-1-100000000000
χ3322222-1-2-2-2-2222-1-1-1-1200-1-1-1-2-2-21111−i3−i3i3i31111-222-2-2000i3−i3i3i3−i3−i3200-111-1-1−i3−i3i3i32-2-1-100001100000000-11i3−i3−i3i300000000000
χ3422222-1-2-2-2-2222-1-1-1-1200-1-1-1-2-2-21111−i3−i3i3i31111-2-2-222000i3−i3i3i3−i3−i3200-111-1-1−i3−i3i3i3-22110000-1-1000000001-1−i3i3i3−i300000000000
χ3522222-1-2-2-2-2222-1-1-1-1200-1-1-1-2-2-21111i3i3−i3−i31111-222-2-2000−i3i3−i3−i3i3i3200-111-1-1i3i3−i3−i32-2-1-100001100000000-11−i3i3i3−i300000000000
χ3622222-1-2-2-2-2222-1-1-1-1200-1-1-1-2-2-21111i3i3−i3−i31111-2-2-222000−i3i3−i3−i3i3i3200-111-1-1i3i3−i3−i3-22110000-1-1000000001-1i3−i3−i3i300000000000
χ372222-122222-1-1-1222-1222-1-1-1-1-1-122222222-1-1-1-1-100002-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1000022220000002020000000-1-1-1-10000-1-10
χ382222-122222-1-1-1222-1222-1-1-1-1-1-122222222-1-1-1-1-100002-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-10000-2-2-2-2000000-20-2000000011110000110
χ392222-122222-1-1-1222-12-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-10000-211-2-21111-1112-1-1-1-1111100002222000000-20-20000000-1-1-1-10000110
χ402222-122222-1-1-1222-12-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-10000-211-2-21111-1112-1-1-1-111110000-2-2-2-2000000202000000011110000-1-10
χ412222-12-2-222-1-1-1222-1-222-1-1-111-122-2-222221111-10000-211-2-211111-1-1-2-1-111-1-1-1-1000022-2-200000020-20000000-1-1110000-110
χ422222-12-2-222-1-1-1222-1-222-1-1-111-122-2-222221111-10000-211-2-211111-1-1-2-1-111-1-1-1-10000-2-222000000-202000000011-1-100001-10
χ432222-12-2-222-1-1-1222-1-2-2-2-1-1-111-122-2-2-2-2-2-21111-100002-1-122-1-1-1-1111-2-1-1111111000022-2-2000000-2020000000-1-11100001-10
χ442222-12-2-222-1-1-1222-1-2-2-2-1-1-111-122-2-2-2-2-2-21111-100002-1-122-1-1-1-1111-2-1-11111110000-2-22200000020-2000000011-1-10000-110
χ4522-2-2222i−2i002-2-22-2-220002-2-22i−2i0002i−2i00002i2i−2i−2i02-22i−2i000000000000000000000002-2−i2i22−22i−2i−i2−i2i2i20000000000−i2i22−2002−2000
χ4622-2-2222i−2i002-2-22-2-220002-2-22i−2i0002i−2i00002i2i−2i−2i02-22i−2i000000000000000000000002-2i2−i2−222i−2ii2i2−i2−i20000000000i2−i2−2200−22000
χ4722-2-2222i−2i002-2-22-2-220002-2-22i−2i0002i−2i00002i2i−2i−2i0-22−2i2i00000000000000000000000-22−i2i22−2−2i2ii2i2−i2−i20000000000−i2i22−200−22000
χ4822-2-2222i−2i002-2-22-2-220002-2-22i−2i0002i−2i00002i2i−2i−2i0-22−2i2i00000000000000000000000-22i2−i2−22−2i2i−i2−i2i2i20000000000i2−i2−22002−2000
χ4922-2-222−2i2i002-2-22-2-220002-2-2−2i2i000−2i2i0000−2i−2i2i2i02-2−2i2i000000000000000000000002-2−i2i2−22−2i2i−i2−i2i2i20000000000−i2i2−2200−22000
χ5022-2-222−2i2i002-2-22-2-220002-2-2−2i2i000−2i2i0000−2i−2i2i2i02-2−2i2i000000000000000000000002-2i2−i22−2−2i2ii2i2−i2−i20000000000i2−i22−2002−2000
χ5122-2-222−2i2i002-2-22-2-220002-2-2−2i2i000−2i2i0000−2i−2i2i2i0-222i−2i00000000000000000000000-22−i2i2−222i−2ii2i2−i2−i20000000000−i2i2−22002−2000
χ5222-2-222−2i2i002-2-22-2-220002-2-2−2i2i000−2i2i0000−2i−2i2i2i0-222i−2i00000000000000000000000-22i2−i22−22i−2i−i2−i2i2i20000000000i2−i22−200−22000
χ532-22-222002-2-2-22-22-2202i−2i-22-20022-2002i−2i2i−2i0000-2000000000000002i−2i02-2002i−2i2i−2i00000000002i−2i2i−2i000000000000002-200000
χ542-22-222002-2-2-22-22-2202i−2i-22-20022-2002i−2i2i−2i0000-2000000000000002i−2i02-2002i−2i2i−2i0000000000−2i2i−2i2i00000000000000-2200000
χ552-22-222002-2-2-22-22-220−2i2i-22-20022-200−2i2i−2i2i0000-200000000000000−2i2i02-200−2i2i−2i2i00000000002i−2i2i−2i00000000000000-2200000
χ562-22-222002-2-2-22-22-220−2i2i-22-20022-200−2i2i−2i2i0000-200000000000000−2i2i02-200−2i2i−2i2i0000000000−2i2i−2i2i000000000000002-200000
χ574444-2444-4-4-2-2-2444-2-400-2-2-2-2-22-4-4440000-2-2-2-220000000000000200-42222000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-2-2444-2400-2-2-2222-4-4-4-40000222220000000000000-200422-2-2000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-200004-2-2-2-21111-2-2-2-21111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-2-2-222221111-20000-42222-1-1-1-1-222-21111-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-400111-2-2222-2-2−2i3−2i32i32i3111120000000−2i32i3i3i3−i3−i32002-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-400111-2-2222-2-22i32i3−2i3−2i31111200000002i3−2i3−i3−i3i3i32002-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-44411122-2-2-222-2-2-2-2-1-1-1-1-20000-42222-1-1-1-12-2-2211-1-1111100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-411122-2-2-2222222-1-1-1-1-200004-2-2-2-21111222211-1-1-1-1-1-100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214001112222222−2i3−2i32i32i3-1-1-1-1200000002i3−2i3−i3−i3i3i3-200-2-1-111i3i3−i3−i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2140011122222222i32i3−2i3−2i3-1-1-1-120000000−2i32i3i3i3−i3−i3-200-2-1-111−i3−i3i3i300000000000000000000000000000000000
χ6744-4-44-24i−4i004-4-4-222-2000-2224i−4i000−2i2i0000−2i−2i2i2i04-44i−4i00000000000000000000000-220000−2i2i0000000000000000000000000
χ6844-4-44-24i−4i004-4-4-222-2000-2224i−4i000−2i2i0000−2i−2i2i2i0-44−4i4i000000000000000000000002-200002i−2i0000000000000000000000000
χ6944-4-44-2−4i4i004-4-4-222-2000-222−4i4i0002i−2i00002i2i−2i−2i04-4−4i4i00000000000000000000000-2200002i−2i0000000000000000000000000
χ7044-4-44-2−4i4i004-4-4-222-2000-222−4i4i0002i−2i00002i2i−2i−2i0-444i−4i000000000000000000000002-20000−2i2i0000000000000000000000000
χ7144-4-4-244i−4i00-2224-4-4-2000-222−2i2i0004i−4i0000−2i−2i2i2i000000000000000000000000000000−2i22i222−220000000000000000i2−i2−220000000
χ7244-4-4-244i−4i00-2224-4-4-2000-222−2i2i0004i−4i0000−2i−2i2i2i0000000000000000000000000000002i2−2i2−22220000000000000000−i2i22−20000000
χ7344-4-4-24−4i4i00-2224-4-4-2000-2222i−2i000−4i4i00002i2i−2i−2i000000000000000000000000000000−2i22i2−22220000000000000000i2−i22−20000000
χ7444-4-4-24−4i4i00-2224-4-4-2000-2222i−2i000−4i4i00002i2i−2i−2i0000000000000000000000000000002i2−2i222−220000000000000000−i2i2−220000000
χ754-44-44400-44-4-44-44-44000-44-400-4-440000000000400000000000000000-4400000000000000000000000000000000000000000
χ764-44-44-2004-4-4-442-22-204i−4i2-22004-2200−2i2i−2i2i0000-4000000000000004i−4i0-2200−2i2i−2i2i00000000000000000000000000000000000
χ774-44-44-2004-4-4-442-22-20−4i4i2-22004-22002i−2i2i−2i0000-400000000000000−4i4i0-22002i−2i2i−2i00000000000000000000000000000000000
χ784-44-44-200-44-4-442-22-20002-2200-42-20023−23−232300004000000000000000002-20023−23−232300000000000000000000000000000000000
χ794-44-44-200-44-4-442-22-20002-2200-42-200−232323−2300004000000000000000002-200−232323−2300000000000000000000000000000000000
χ804-44-4-24004-422-2-44-4-204i−4i2-2200-24-4004i−4i4i−4i0000200000000000000−2i2i0-2200−2i2i−2i2i00000000000000000000000000000000000
χ814-44-4-24004-422-2-44-4-20−4i4i2-2200-24-400−4i4i−4i4i00002000000000000002i−2i0-22002i−2i2i−2i00000000000000000000000000000000000
χ824-44-4-2400-4422-2-44-4-20002-22002-440000000000-200000−2i32i300−2i32i3−2i32i300002-200000000000000000000000000000000000000000
χ834-44-4-2400-4422-2-44-4-20002-22002-440000000000-2000002i3−2i3002i3−2i32i3−2i300002-200000000000000000000000000000000000000000
χ844-44-4-2-2004-422-22-22104i−4i-11-100-2-2200−2i2i−2i2i3i−3i3i−3i20000000003-3-330−2i2i01-13i−3ii−ii−i00000000000000000000000000000000000
χ854-44-4-2-2004-422-22-22104i−4i-11-100-2-2200−2i2i−2i2i−3i3i−3i3i2000000000-333-30−2i2i01-1−3i3ii−ii−i00000000000000000000000000000000000
χ864-44-4-2-2004-422-22-2210−4i4i-11-100-2-22002i−2i2i−2i3i−3i3i−3i2000000000-333-302i−2i01-13i−3i−ii−ii00000000000000000000000000000000000
χ874-44-4-2-2004-422-22-2210−4i4i-11-100-2-22002i−2i2i−2i−3i3i−3i3i20000000003-3-3302i−2i01-1−3i3i−ii−ii00000000000000000000000000000000000
χ884-44-4-2-200-4422-22-221000-11-10022-20023−23−23233i−3i3i−3i-2000002i3−2i300−i3i3−i3i30000-11−3i3i−333−300000000000000000000000000000000000
χ894-44-4-2-200-4422-22-221000-11-10022-20023−23−2323−3i3i−3i3i-200000−2i32i300i3−i3i3−i30000-113i−3i−333−300000000000000000000000000000000000
χ904-44-4-2-200-4422-22-221000-11-10022-200−232323−233i−3i3i−3i-200000−2i32i300i3−i3i3−i30000-11−3i3i3−3−3300000000000000000000000000000000000
χ914-44-4-2-200-4422-22-221000-11-10022-200−232323−23−3i3i−3i3i-2000002i3−2i300−i3i3−i3i30000-113i−3i3−3−3300000000000000000000000000000000000
χ924-4-44440000-44-4-4-444000-4-4400000000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ934-4-44440000-44-4-4-444000-4-44000000000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ9488-8-8-4-48i−8i00-444-44420002-2-2−4i4i000−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4−8i8i00-444-44420002-2-24i−4i0004i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ968-8-888-40000-88-844-4-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88-4800004-44-8-88-400044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400004-4444-42000-2-22000000000006-6-660000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400004-4444-42000-2-2200000000000-666-60000000000000000000000000000000000000000000000000000000000000

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