Finite Group Databasebeta

← Group #11898315

Character table — Group #11898315

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666344466612121212121212121212121212121212444426666666612121212121212121212121244888812121212888822446666121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1
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
χ511111111111111111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1
χ611111111111111111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111
χ711111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11
χ811111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1
χ9111111-1-111111111111-111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111-111-1-111-1-111111-11-111-1-11-111-1-111-1-11-1-1
χ10111111-1-111111111111-111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111-1-1-11111-1-1-1-1-1-11-1-1111-1-11-1-1-111-1-111-111
χ11111111-1-111111111111-111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1111-1-1-1-111-1-1-1-1-111-1-1-111-1111-1-1-1-1111-11
χ12111111-1-111111111111-111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-111-1-11111-11-1-111-1-1111111-11-11-1-111-11-1-11111-1-1-11-1
χ13111111-1-1111111111-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-11-111-1-111-1-11111-11-11-1-1111-111-1-1-1-1-1-1-111
χ14111111-1-1111111111-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-1-1-1111-1-1-11111111-1-1
χ15111111-1-1111111111-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-1111-1-1-1111-1-11111-11-1
χ16111111-1-1111111111-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-11111111-11-111-1-1-11-1-111-1-1-1-11-11
χ1722222222-2-2222222200-2222-2-222220000-22222-22222000000000-200-2-2-2-2-20000-2-200002222000000000000-2-200000000000
χ1822222222-2-2222222200-2222-2-222220000-22222-2-2-2-2-2000000000-200-2-2-2-2-20000220000-2-2-2-20000000000002200000000000
χ19222222-2-2-2-22222222002222-2-2-2-2-2-20000-2-2-2-2-2-222-2-20000000002002-2-2220000-22000022-2-2000000000000-2200000000000
χ20222222-2-2-2-22222222002222-2-2-2-2-2-20000-2-2-2-2-2-2-2-2220000000002002-2-22200002-20000-2-2220000000000002-200000000000
χ2122222-122222-12-1-12-1222-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1220000-1-1-1-100002200-1-1-1-1-1-100000000000
χ2222222-122222-12-1-12-1222-1-1-1-1-122-1-1-1-1-1-12-1-1-1-12-2-2-2-2222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2000011110000-2-20011111100000000000
χ2322222-122222-12-1-12-1-2-22-1-1-1-1-122-1-111112-1-1-1-122222-2-2-21111112-2-2-1-1-1-1-11111220000-1-1-1-10000-2-2001111-1-100000000000
χ2422222-122222-12-1-12-1-2-22-1-1-1-1-122-1-111112-1-1-1-12-2-2-2-2-2-2-21111112-2-2-1-1-1-1-11111-2-20000111100002200-1-1-1-11100000000000
χ2522222-122-2-22-12-1-12-100-2-1-1-11122-1-1−i3−i3i3i3-2-1-1-1-1-22222000−i3i3−i3−i3i3i3-20011111−i3−i3i3i3-2-20000-1-1-1-100000000−i3i3−i3i31100000000000
χ2622222-122-2-22-12-1-12-100-2-1-1-11122-1-1−i3−i3i3i3-2-1-1-1-1-2-2-2-2-2000−i3i3−i3−i3i3i3-20011111−i3−i3i3i3220000111100000000i3−i3i3−i3-1-100000000000
χ2722222-122-2-22-12-1-12-100-2-1-1-11122-1-1i3i3−i3−i3-2-1-1-1-1-22222000i3−i3i3i3−i3−i3-20011111i3i3−i3−i3-2-20000-1-1-1-100000000i3−i3i3−i31100000000000
χ2822222-122-2-22-12-1-12-100-2-1-1-11122-1-1i3i3−i3−i3-2-1-1-1-1-2-2-2-2-2000i3−i3i3i3−i3−i3-20011111i3i3−i3−i3220000111100000000−i3i3−i3i3-1-100000000000
χ2922222-1-2-2222-12-1-12-122-2-1-1-1-1-1-2-211-1-1-1-121111222-2-2-2-2-2111111-2221-1-111-1-1-1-12-20000-1-11100002-200-1-111-1100000000000
χ3022222-1-2-2222-12-1-12-122-2-1-1-1-1-1-2-211-1-1-1-1211112-2-222-2-2-2111111-2221-1-111-1-1-1-1-22000011-1-10000-220011-1-11-100000000000
χ3122222-1-2-2222-12-1-12-1-2-2-2-1-1-1-1-1-2-211111121111222-2-2222-1-1-1-1-1-1-2-2-21-1-11111112-20000-1-1110000-220011-1-1-1100000000000
χ3222222-1-2-2222-12-1-12-1-2-2-2-1-1-1-1-1-2-2111111211112-2-222222-1-1-1-1-1-1-2-2-21-1-1111111-22000011-1-100002-200-1-1111-100000000000
χ3322222-1-2-2-2-22-12-1-12-1002-1-1-111-2-211−i3−i3i3i3-21111-222-2-2000i3−i3i3i3−i3−i3200-111-1-1−i3−i3i3i3-220000-1-11100000000−i3i3i3−i31-100000000000
χ3422222-1-2-2-2-22-12-1-12-1002-1-1-111-2-211−i3−i3i3i3-21111-2-2-222000i3−i3i3i3−i3−i3200-111-1-1−i3−i3i3i32-2000011-1-100000000i3−i3−i3i3-1100000000000
χ3522222-1-2-2-2-22-12-1-12-1002-1-1-111-2-211i3i3−i3−i3-21111-222-2-2000−i3i3−i3−i3i3i3200-111-1-1i3i3−i3−i3-220000-1-11100000000i3−i3−i3i31-100000000000
χ3622222-1-2-2-2-22-12-1-12-1002-1-1-111-2-211i3i3−i3−i3-21111-2-2-222000−i3i3−i3−i3i3i3200-111-1-1i3i3−i3−i32-2000011-1-100000000−i3i3i3−i3-1100000000000
χ372222-122222-12-122-1-1222-1-1-122-1-1222222-1-1-1-1-1-100002-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1002222000000000022000000-1-1-1-10000-1-10
χ382222-122222-12-122-1-1222-1-1-122-1-1222222-1-1-1-1-1-100002-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-200000011110000110
χ392222-122222-12-122-1-1-2-22-1-1-122-1-122-2-2-2-2-1-1-1-1-1-10000-211-2-21111-1112-1-1-1-111110022220000000000-2-2000000-1-1-1-10000110
χ402222-122222-12-122-1-1-2-22-1-1-122-1-122-2-2-2-2-1-1-1-1-1-10000-211-2-21111-1112-1-1-1-1111100-2-2-2-200000000002200000011110000-1-10
χ412222-12-2-222-12-122-1-122-2-1-1-12211-2-22222-11111-10000-211-2-211111-1-1-2-1-111-1-1-1-10022-2-200000000002-2000000-1-1110000-110
χ422222-12-2-222-12-122-1-122-2-1-1-12211-2-22222-11111-10000-211-2-211111-1-1-2-1-111-1-1-1-100-2-2220000000000-2200000011-1-100001-10
χ432222-12-2-222-12-122-1-1-2-2-2-1-1-12211-2-2-2-2-2-2-11111-100002-1-122-1-1-1-1111-2-1-11111110022-2-20000000000-22000000-1-11100001-10
χ442222-12-2-222-12-122-1-1-2-2-2-1-1-12211-2-2-2-2-2-2-11111-100002-1-122-1-1-1-1111-2-1-111111100-2-22200000000002-200000011-1-10000-110
χ4522-2-2222-200-2-22-22-22000-2-22002-22-20000022-2-202-22-200000000000000000000000−i2i2−i2i22-22-2−i2−i2i2i20000000000−i2i2−i2i200−i2i2000
χ4622-2-2222-200-2-22-22-22000-2-22002-22-20000022-2-202-22-200000000000000000000000i2−i2i2−i22-22-2i2i2−i2−i20000000000i2−i2i2−i200i2−i2000
χ4722-2-2222-200-2-22-22-22000-2-22002-22-20000022-2-20-22-2200000000000000000000000−i2i2−i2i2-22-22i2i2−i2−i20000000000−i2i2−i2i200i2−i2000
χ4822-2-2222-200-2-22-22-22000-2-22002-22-20000022-2-20-22-2200000000000000000000000i2−i2i2−i2-22-22−i2−i2i2i20000000000i2−i2i2−i200−i2i2000
χ4922-2-222-2200-2-22-22-22000-2-2200-22-2200000-2-22202-2-2200000000000000000000000−i2i2i2−i22-2-22−i2−i2i2i20000000000−i2i2i2−i200i2−i2000
χ5022-2-222-2200-2-22-22-22000-2-2200-22-2200000-2-22202-2-2200000000000000000000000i2−i2−i2i22-2-22i2i2−i2−i20000000000i2−i2−i2i200−i2i2000
χ5122-2-222-2200-2-22-22-22000-2-2200-22-2200000-2-2220-222-200000000000000000000000−i2i2i2−i2-222-2i2i2−i2−i20000000000−i2i2i2−i200−i2i2000
χ5222-2-222-2200-2-22-22-22000-2-2200-22-2200000-2-2220-222-200000000000000000000000i2−i2−i2i2-222-2−i2−i2i2i20000000000i2−i2−i2i200i2−i2000
χ532-2-2222002-2-22-2-2-2222i−2i02-2-22-200002i−2i2i−2i20000-2000000000000002i−2i02-2002i−2i2i−2i00000000002-22-2000000000000002i−2i00000
χ542-2-2222002-2-22-2-2-2222i−2i02-2-22-200002i−2i2i−2i20000-2000000000000002i−2i02-2002i−2i2i−2i0000000000-22-2200000000000000−2i2i00000
χ552-2-2222002-2-22-2-2-222−2i2i02-2-22-20000−2i2i−2i2i20000-200000000000000−2i2i02-200−2i2i−2i2i00000000002-22-200000000000000−2i2i00000
χ562-2-2222002-2-22-2-2-222−2i2i02-2-22-20000−2i2i−2i2i20000-200000000000000−2i2i02-200−2i2i−2i2i0000000000-22-22000000000000002i−2i00000
χ574444-2444-4-4-24-244-2-200-4-2-2-2-4-4-2-24400002-2-2-2-220000000000000200-42222000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-244-2-2004-2-2-2-4-422-4-400002222220000000000000-200422-2-2000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-21-4-44111-2-2-2-2-2-22222-21111-20000-42222-1-1-1-1-222-21111-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2100-411122-2-2-2-2−2i3−2i32i32i32111120000000−2i32i3i3i3−i3−i32002-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2100-411122-2-2-2-22i32i3−2i3−2i321111200000002i3−2i3−i3−i3i3i32002-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2144-4111-2-22222-2-2-2-2-2-1-1-1-1-20000-42222-1-1-1-12-2-2211-1-1111100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4-4-4111-2-222222222-2-1-1-1-1-200004-2-2-2-21111222211-1-1-1-1-1-100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21004111222222−2i3−2i32i32i32-1-1-1-1200000002i3−2i3−i3−i3i3i3-200-2-1-111i3i3−i3−i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-210041112222222i32i3−2i3−2i32-1-1-1-120000000−2i32i3i3i3−i3−i3-200-2-1-111−i3−i3i3i300000000000000000000000000000000000
χ6744-4-44-24-400-4242-2-4-200022-2004-4-2200000-2-22204-44-4000000000000000000000000000-22-220000000000000000000000000
χ6844-4-44-24-400-4242-2-4-200022-2004-4-2200000-2-2220-44-440000000000000000000000000002-22-20000000000000000000000000
χ6944-4-44-2-4400-4242-2-4-200022-200-442-20000022-2-204-4-44000000000000000000000000000-222-20000000000000000000000000
χ7044-4-44-2-4400-4242-2-4-200022-200-442-20000022-2-20-444-40000000000000000000000000002-2-220000000000000000000000000
χ7144-4-4-244-4002-4-2-442-200022-200-224-400000-2-2220000000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000
χ7244-4-4-244-4002-4-2-442-200022-200-224-400000-2-22200000000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000
χ7344-4-4-24-44002-4-2-442-200022-2002-2-440000022-2-20000000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000
χ7444-4-4-24-44002-4-2-442-200022-2002-2-440000022-2-200000000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000
χ754-44-44400004-4-44-4-44000-44-4000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ764-44-44400004-4-44-4-44000-44-40000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ774-4-444400-44-44-4-4-4440004-4-4-4400000000-40000400000000000000000-4400000000000000000000000000000000000000000
χ784-4-444-2004-4-4-2-4224-24i−4i0-222-220000−2i2i−2i2i40000-4000000000000004i−4i0-2200−2i2i−2i2i00000000000000000000000000000000000
χ794-4-444-2004-4-4-2-4224-2−4i4i0-222-2200002i−2i2i−2i40000-400000000000000−4i4i0-22002i−2i2i−2i00000000000000000000000000000000000
χ804-4-444-200-44-4-2-4224-2000-2222-2000023−23−2323-400004000000000000000002-20023−23−232300000000000000000000000000000000000
χ814-4-444-200-44-4-2-4224-2000-2222-20000−232323−23-400004000000000000000002-200−232323−2300000000000000000000000000000000000
χ824-4-44-24004-4242-4-4-2-24i−4i0-2224-400004i−4i4i−4i-20000200000000000000−2i2i0-2200−2i2i−2i2i00000000000000000000000000000000000
χ834-4-44-24004-4242-4-4-2-2−4i4i0-2224-40000−4i4i−4i4i-200002000000000000002i−2i0-22002i−2i2i−2i00000000000000000000000000000000000
χ844-4-44-2400-44242-4-4-2-2000-222-440000000020000-200000−2i32i300−2i32i3−2i32i300002-200000000000000000000000000000000000000000
χ854-4-44-2400-44242-4-4-2-2000-222-440000000020000-2000002i3−2i3002i3−2i32i3−2i300002-200000000000000000000000000000000000000000
χ864-4-44-2-2004-42-2222-214i−4i01-1-1-220000−2i2i−2i2i-23i−3i3i−3i20000000003-3-330−2i2i01-13i−3ii−ii−i00000000000000000000000000000000000
χ874-4-44-2-2004-42-2222-214i−4i01-1-1-220000−2i2i−2i2i-2−3i3i−3i3i2000000000-333-30−2i2i01-1−3i3ii−ii−i00000000000000000000000000000000000
χ884-4-44-2-2004-42-2222-21−4i4i01-1-1-2200002i−2i2i−2i-23i−3i3i−3i2000000000-333-302i−2i01-13i−3i−ii−ii00000000000000000000000000000000000
χ894-4-44-2-2004-42-2222-21−4i4i01-1-1-2200002i−2i2i−2i-2−3i3i−3i3i20000000003-3-3302i−2i01-1−3i3i−ii−ii00000000000000000000000000000000000
χ904-4-44-2-200-442-2222-210001-1-12-2000023−23−232323i−3i3i−3i-2000002i3−2i300−i3i3−i3i30000-11−3i3i−333−300000000000000000000000000000000000
χ914-4-44-2-200-442-2222-210001-1-12-2000023−23−23232−3i3i−3i3i-200000−2i32i300i3−i3i3−i30000-113i−3i−333−300000000000000000000000000000000000
χ924-4-44-2-200-442-2222-210001-1-12-20000−232323−2323i−3i3i−3i-200000−2i32i300i3−i3i3−i30000-11−3i3i3−3−3300000000000000000000000000000000000
χ934-4-44-2-200-442-2222-210001-1-12-20000−232323−232−3i3i−3i3i-2000002i3−2i300−i3i3−i3i30000-113i−3i3−3−3300000000000000000000000000000000000
χ9488-8-8-4-48-80044-44-442000-2-2200-44-440000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-880044-44-442000-2-22004-44-400000-2-2220000000000000000000000000000000000000000000000000000000000000
χ968-88-88-4000084-8-44-8-40004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-480000-4-848-84-40004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-40000-444-4442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40000-444-4442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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