Finite Group Databasebeta

← Group #11864451

Character table — Group #11864451

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222223344446666663666666612121212121212121212121244661212121212121212121212121212121212122244444422666666881212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-11-11-111-1-11-11-111-1-11-11-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-11-11-1-1-1111-11-111-1-1-111-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-11-1111-1-1-11-11-1-1111-1-1111-1-111-1-1-1-111-1-111
χ121111-1-111-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-11-11-1-111-11-11-1-111-11-11-1-111-1-11111-1-111-1-1
χ131111-1-111-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-111111-11-111-1-1-111-1-1-111-111-111-1-1-1-11111-1-1-1-111
χ141111-1-111-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-111111-11-1-1-111-111-1-1-1111-11-1-1-11111-1-1-1-11111-1-1
χ151111-1-111-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111-11-1111-1-11-1-1111-1-1-11-1111-1-1-1-111-1-11111-1-1
χ161111-1-111-1-1111111111-1-1-1-111111-1-11-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111-11-11-1-1111-1-1111-1-11-1-11-1-11111-1-111-1-1-1-111
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-2000000002-2-220000002-2000000-220000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000-222-2000000-220000002-20000000000000000
χ192222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-100-1-10000000000000000
χ202222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211111100110000000000000000
χ212222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-1-1-2-211-2-211-1-11111111122220000-2-2-1-1111100-1-10000000000000000
χ222222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-1-1-2-211-2-211-1-111111111-2-2-2-200002211-1-1-1-100110000000000000000
χ232222222-1-2-2-2-222-1-1-12-122-1-1-1-1-11111-2-2-21111-200-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i32-2-22000000-11−i3i3−i3i3001-10000000000000000
χ242222222-1-2-2-2-222-1-1-12-122-1-1-1-1-11111-2-2-21111-200-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i3-222-20000001-1i3−i3i3−i300-110000000000000000
χ252222222-1-2-2-2-222-1-1-12-122-1-1-1-1-11111-2-2-21111-200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i32-2-22000000-11i3−i3i3−i3001-10000000000000000
χ262222222-1-2-2-2-222-1-1-12-122-1-1-1-1-11111-2-2-21111-200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i3-222-20000001-1−i3i3−i3i300-110000000000000000
χ27222222-122222-1-1222-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1-1-1-1-100000000
χ28222222-122222-1-1222-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2001111111100000000
χ29222222-122222-1-1222-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-111-2-211-2-2-1-1111111110000222200000000-2-200-1-1-1-1111100000000
χ30222222-122222-1-1222-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-111-2-211-2-2-1-1111111110000-2-2-2-20000000022001111-1-1-1-100000000
χ312222-2-22222-2-22222222-2-2-2-2222-2-222-2222222-200-2-200000000-2-20000000022-2-200000022000000-2-20000000000000000
χ322222-2-22222-2-22222222-2-2-2-2222-2-222-2222222-200-2-200000000-2-200000000-2-222000000-2-2000000220000000000000000
χ332222-2-22-122-2-222-1-1-12-1-2-211-1-1-111-1-1-222-1-1-1-1-2001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i322-2-2000000-1-1−i3i3i3−i300110000000000000000
χ342222-2-22-122-2-222-1-1-12-1-2-211-1-1-111-1-1-222-1-1-1-1-2001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i3-2-22200000011i3−i3−i3i300-1-10000000000000000
χ352222-2-22-122-2-222-1-1-12-1-2-211-1-1-111-1-1-222-1-1-1-1-2001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i322-2-2000000-1-1i3−i3−i3i300110000000000000000
χ362222-2-22-122-2-222-1-1-12-1-2-211-1-1-111-1-1-222-1-1-1-1-2001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i3-2-22200000011−i3i3i3−i300-1-10000000000000000
χ372222-2-22-1-2-22222-1-1-12-1-2-211-1-1-1-1-1112-2-2111122-21122-1-1-2-211-1-1-1-1-1-111112-22-200002-2-11-1-11100-110000000000000000
χ382222-2-22-1-2-22222-1-1-12-1-2-211-1-1-1-1-1112-2-2111122-21122-1-1-2-211-1-1-1-1-1-11111-22-220000-221-111-1-1001-10000000000000000
χ392222-2-22-1-2-22222-1-1-12-1-2-211-1-1-1-1-1112-2-211112-2211-2-21122-1-1-1-11111-1-1-1-12-22-20000-22-1111-1-100-110000000000000000
χ402222-2-22-1-2-22222-1-1-12-1-2-211-1-1-1-1-1112-2-211112-2211-2-21122-1-1-1-11111-1-1-1-1-22-2200002-21-1-1-111001-10000000000000000
χ412222-2-2-12-2-222-1-1222-1-111-2-2-1-1-122-2-2-1111111-12-211-1-12211-2-2-1-1-1-1-1-11111000022-2-2000000002-200-1-111-1-11100000000
χ422222-2-2-12-2-222-1-1222-1-111-2-2-1-1-122-2-2-1111111-12-211-1-12211-2-2-1-1-1-1-1-111110000-2-22200000000-220011-1-111-1-100000000
χ432222-2-2-12-2-222-1-1222-1-111-2-2-1-1-122-2-2-1111111-1-221111-2-2-1-122-1-11111-1-1-1-1000022-2-200000000-2200-1-11111-1-100000000
χ442222-2-2-12-2-222-1-1222-1-111-2-2-1-1-122-2-2-1111111-1-221111-2-2-1-122-1-11111-1-1-1-10000-2-222000000002-20011-1-1-1-11100000000
χ452-2-222-2222-22-2-2-2-2-22222-22-22-2-22-22-2-22-222-2-22002-2000000002-20000000000000000000000000000000000002-22-20000
χ462-2-222-2222-22-2-2-2-2-22222-22-22-2-22-22-2-22-222-2-22002-2000000002-2000000000000000000000000000000000000-22-220000
χ472-2-222-222-22-22-2-2-2-22222-22-22-2-2-22-222-22-2-222-2002-200000000-220000000000002-22-20000000000002-22-2000000000000
χ482-2-222-222-22-22-2-2-2-22222-22-22-2-2-22-222-22-2-222-2002-200000000-22000000000000-22-22000000000000-22-22000000000000
χ492-2-222-2-12-22-2211-2-22-1-1-112-2-111-22-22-11-111-1-1100-113−3003−3001-13−33−33−33−300002-22-2000000000000-11-113−33−300000000
χ502-2-222-2-12-22-2211-2-22-1-1-112-2-111-22-22-11-111-1-1100-113−3003−3001-13−33−33−33−30000-22-220000000000001-11-1−33−3300000000
χ512-2-222-2-12-22-2211-2-22-1-1-112-2-111-22-22-11-111-1-1100-11−3300−33001-1−33−33−33−3300002-22-2000000000000-11-11−33−3300000000
χ522-2-222-2-12-22-2211-2-22-1-1-112-2-111-22-22-11-111-1-1100-11−3300−33001-1−33−33−33−330000-22-220000000000001-11-13−33−300000000
χ532-2-22-22222-2-22-2-2-2-2222-22-222-2-2-222-222-222-2-2-200-2200000000-220000000000002-2-220000000000002-2-22000000000000
χ542-2-22-22222-2-22-2-2-2-2222-22-222-2-2-222-222-222-2-2-200-2200000000-22000000000000-222-2000000000000-222-2000000000000
χ552-2-22-2222-222-2-2-2-2-2222-22-222-2-22-2-22-2-22-2-222200-22000000002-20000000000000000000000000000000000002-2-220000
χ562-2-22-2222-222-2-2-2-2-2222-22-222-2-22-2-22-2-22-2-222200-22000000002-2000000000000000000000000000000000000-222-20000
χ572-2-22-22-122-2-2211-2-22-1-11-1-22-111-222-2-1-11-1-1111001-13−300−33001-13−33−3−33−3300002-2-22000000000000-111-13−3−3300000000
χ582-2-22-22-122-2-2211-2-22-1-11-1-22-111-222-2-1-11-1-1111001-13−300−33001-13−33−3−33−330000-222-20000000000001-1-11−333−300000000
χ592-2-22-22-122-2-2211-2-22-1-11-1-22-111-222-2-1-11-1-1111001-1−33003−3001-1−33−333−33−300002-2-22000000000000-111-1−333−300000000
χ602-2-22-22-122-2-2211-2-22-1-11-1-22-111-222-2-1-11-1-1111001-1−33003−3001-1−33−333−33−30000-222-20000000000001-1-113−3−3300000000
χ61444444-24-4-4-4-4-2-2444-2-2-2-244-2-2-2-4-4-4-42222222200-2-2000000002200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-24411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-12001100−2i32i300−2i32i3-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-120011002i3−2i3002i3−2i3-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-4-2444-4-4-2-2444-2-222-4-4-2-2-2-4-4442-2-2-2-2-2-220022000000002200000000000000000000000000000000000000000000
χ674444-4-4-2-244-4-4-2-2-2-2-2-21222211122-2-22-2-21111200-1-100−2i32i3002i3−2i3-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ684444-4-4-2-244-4-4-2-2-2-2-2-21222211122-2-22-2-21111200-1-1002i3−2i300−2i32i3-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ694444-4-4-2-2-4-444-2-2-2-2-2-212222111-2-222-222-1-1-1-1-24-4-1-1-2-2-2-22222111111-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-2-4-444-2-2-2-2-2-212222111-2-222-222-1-1-1-1-2-44-1-12222-2-2-2-211-1-1-1-11111000000000000000000000000000000000000
χ7144-4-4004400004-44-4-4-440000-44-400000000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ7244-4-4004400004-44-4-4-440000-44-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ734-44-400440000-44-44-4-440000-4-44000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ744-44-400440000-44-44-4-440000-4-440000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ754-4-444-44-24-44-4-4-422-24-24-4-22-222-22-22-44-4-2-222400-2200000000-2200000000000000000000000000000000000000000000
χ764-4-444-44-2-44-44-4-422-24-24-4-22-2222-22-24-4422-2-2-400-22000000002-200000000000000000000000000000000000000000000
χ774-4-444-4-244-44-422-4-44-2-2-224-4-2224-44-42-22-2-222-200-2200000000-2200000000000000000000000000000000000000000000
χ784-4-444-4-2-24-44-42222-2-21-22-221-1-1-22-222-2211-1-1-2001-1000000001-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000
χ794-4-444-4-2-24-44-42222-2-21-22-221-1-1-22-222-2211-1-1-2001-1000000001-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000
χ804-4-444-4-2-2-44-442222-2-21-22-221-1-12-22-2-22-2-1-1112001-123−230023−2300-11−33−33−33−33000000000000000000000000000000000000
χ814-4-444-4-2-2-44-442222-2-21-22-221-1-12-22-2-22-2-1-1112001-1−232300−232300-113−33−33−33−3000000000000000000000000000000000000
χ824-4-44-444-24-4-44-4-422-24-2-442-2-2222-2-2244-4-2-222-4002-2000000002-200000000000000000000000000000000000000000000
χ834-4-44-444-2-444-4-4-422-24-2-442-2-222-222-2-4-4422-2-24002-200000000-2200000000000000000000000000000000000000000000
χ844-4-44-44-24-444-422-4-44-2-22-2-44-2224-4-4422-222-2-2-2002-200000000-2200000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-442222-2-212-22-21-1-12-2-22-2-2211-1-1200-1123−2300−232300-11−33−333−33−3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-442222-2-212-22-21-1-12-2-22-2-2211-1-1200-11−23230023−2300-113−33−3−33−33000000000000000000000000000000000000
χ874-4-44-44-2-2-444-42222-2-212-22-21-1-1-222-222-2-1-111-200-11000000001-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ884-4-44-44-2-2-444-42222-2-212-22-21-1-1-222-222-2-1-111-200-11000000001-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ8988-8-8008-400008-8-444-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-8-84-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-444420000-22-200000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-444420000-22-20000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-884-44-8-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-88-84-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-44-44420000-2-2200000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-44-44420000-2-220000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000

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