Finite Group Databasebeta

← Group #11870366

Character table — Group #11870366

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222223344446666663666666666661212121212121212441212121212121212121212121212121212121212224444442466668812121212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ91111-1-111-1-1111111111-1-1-1-11-1-1-1-1111-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-11-1111-1-1-11-11-1111-1-1-1111-1-1-111-1-111-1-111-1-1
χ101111-1-111-1-1111111111-1-1-1-11-1-1-1-1111-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-11-1-1-11-1111-11-111-1111-1-11-1-1-1-1-111-1-111-1-111
χ111111-1-111-1-1111111111-1-1-1-11-1-1-1-1111-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-1-1111-11-1-1-11-11-1-11-1-1-111-111111-1-1-1-111-1-111
χ121111-1-111-1-1111111111-1-1-1-11-1-1-1-1111-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-1-11-1-1-1111-11-11-1-1-1111-1-1-1111-1-11111-1-111-1-1
χ131111-1-111-1-1111111111-1-1-1-11-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-111111-1111-1-1-1-111-1-1-1-11-1-1111-111-1-11111-1-1-1-111
χ141111-1-111-1-1111111111-1-1-1-11-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-111111-1-1-11-111-111-1-1-11-111-1-11-11111-1-1-1-11111-1-1
χ151111-1-111-1-1111111111-1-1-1-11-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-11111-1111-11-1-11-1-1111-11-1-111-11-1-1-1-111-1-11111-1-1
χ161111-1-111-1-1111111111-1-1-1-11-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-11111-11-1-1-11111-1-11111-111-1-1-11-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002-200-2200002-200000000-2200000000000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-22002-20000-22000000002-200000000000000
χ192222222-12222-12-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200220022-1-1-1-1000000-1-1-1-1000000000000
χ202222222-12222-12-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-211110000001111000000000000
χ212222222-12222-12-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-2-1-1-1-11111111122002200-2-2-1-111000000-1-111000000000000
χ222222222-12222-12-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-2-1-1-1-111111111-2-200-2-2002211-1-100000011-1-1000000000000
χ232222222-1-2-2-2-2-12-122-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i32-200-220000-11−i3i30000001-1−i3i3000000000000
χ242222222-1-2-2-2-2-12-122-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i3-22002-200001-1i3−i3000000-11i3−i3000000000000
χ252222222-1-2-2-2-2-12-122-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i32-200-220000-11i3−i30000001-1i3−i3000000000000
χ262222222-1-2-2-2-2-12-122-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i3-22002-200001-1−i3i3000000-11−i3i3000000000000
χ27222222-1222222-12-1-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000022-1-1-1-10000-1-1-1-100000000
χ28222222-1222222-12-1-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000-2-211110000111100000000
χ29222222-1222222-12-1-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-2-21111-1-1-1-11111111100220022000000-2-2-1-1-1-10000111100000000
χ30222222-1222222-12-1-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-2-21111-1-1-1-11111111100-2-200-2-20000002211110000-1-1-1-100000000
χ312222-2-22222-2-22222222-2-2-2-22-2-2-2-222-222-2-222-20000000000-2-222000000002200-2-200002200000000-2-200000000000000
χ322222-2-22222-2-22222222-2-2-2-22-2-2-2-222-222-2-222-20000000000-2-22200000000-2-200220000-2-2000000002200000000000000
χ332222-2-22-122-2-2-12-122-1-1-2-211-11111-1-1-22211-1-1-200−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i32200-2-20000-1-1−i3i300000011i3−i3000000000000
χ342222-2-22-122-2-2-12-122-1-1-2-211-11111-1-1-22211-1-1-200−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i3-2-20022000011i3−i3000000-1-1−i3i3000000000000
χ352222-2-22-122-2-2-12-122-1-1-2-211-11111-1-1-22211-1-1-200i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i32200-2-20000-1-1i3−i300000011−i3i3000000000000
χ362222-2-22-122-2-2-12-122-1-1-2-211-11111-1-1-22211-1-1-200i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i3-2-20022000011−i3i3000000-1-1i3−i3000000000000
χ372222-2-22-1-2-222-12-122-1-1-2-211-11111-1-12-2-2-1-11122-2-1-11122-2-2-1-111-1-1-1-111112-2002-2002-2-11-1-1000000-1111000000000000
χ382222-2-22-1-2-222-12-122-1-1-2-211-11111-1-12-2-2-1-11122-2-1-11122-2-2-1-111-1-1-1-11111-2200-2200-221-1110000001-1-1-1000000000000
χ392222-2-22-1-2-222-12-122-1-1-2-211-11111-1-12-2-2-1-1112-2211-1-1-2-222-1-1111111-1-1-1-12-2002-200-22-1111000000-11-1-1000000000000
χ402222-2-22-1-2-222-12-122-1-1-2-211-11111-1-12-2-2-1-1112-2211-1-1-2-222-1-1111111-1-1-1-1-2200-22002-21-1-1-10000001-111000000000000
χ412222-2-2-12-2-2222-12-1-12-111-2-2-11111-1-1-11122-2-2-12-222-2-2-1-111-1-111-1-1-1-11111002200-2-20000002-211-1-10000-1-11100000000
χ422222-2-2-12-2-2222-12-1-12-111-2-2-11111-1-1-11122-2-2-12-222-2-2-1-111-1-111-1-1-1-1111100-2-20022000000-22-1-111000011-1-100000000
χ432222-2-2-12-2-2222-12-1-12-111-2-2-11111-1-1-11122-2-2-1-22-2-22211-1-1-1-1111111-1-1-1-1002200-2-2000000-2211-1-1000011-1-100000000
χ442222-2-2-12-2-2222-12-1-12-111-2-2-11111-1-1-11122-2-2-1-22-2-22211-1-1-1-1111111-1-1-1-100-2-200220000002-2-1-1110000-1-11100000000
χ452-22-22-2222-22-2-22-2-2-2222-22-2-222-2-22-2-22-22-22-2200000000002-22-200000000002i−2i002i−2i000000002i−2i2i−2i0000000000000000
χ462-22-22-2222-22-2-22-2-2-2222-22-2-222-2-22-2-22-22-22-2200000000002-22-20000000000−2i2i00−2i2i00000000−2i2i−2i2i0000000000000000
χ472-22-22-222-22-22-22-2-2-2222-22-2-222-2-22-22-22-22-22-20000000000-22-220000000000000000000000000000000000002i−2i2i−2i0000
χ482-22-22-222-22-22-22-2-2-2222-22-2-222-2-22-22-22-22-22-20000000000-22-22000000000000000000000000000000000000−2i2i−2i2i0000
χ492-22-22-2-122-22-2-2-1-2112-1-112-21-1-111-111-112-22-2-10000003−33−3-11-113−33−33−33−3002i−2i002i−2i00000000−ii−ii0000−i3i3−i3i300000000
χ502-22-22-2-122-22-2-2-1-2112-1-112-21-1-111-111-112-22-2-10000003−33−3-11-113−33−33−33−300−2i2i00−2i2i00000000i−ii−i0000i3−i3i3−i300000000
χ512-22-22-2-122-22-2-2-1-2112-1-112-21-1-111-111-112-22-2-1000000−33−33-11-11−33−33−33−33002i−2i002i−2i00000000−ii−ii0000i3−i3i3−i300000000
χ522-22-22-2-122-22-2-2-1-2112-1-112-21-1-111-111-112-22-2-1000000−33−33-11-11−33−33−33−3300−2i2i00−2i2i00000000i−ii−i0000−i3i3−i3i300000000
χ532-22-2-22222-2-22-22-2-2-222-22-22-2-2-2222-222-2-222-2-20000000000-222-20000000000000000000000000000000000002i−2i−2i2i0000
χ542-22-2-22222-2-22-22-2-2-222-22-22-2-2-2222-222-2-222-2-20000000000-222-2000000000000000000000000000000000000−2i2i2i−2i0000
χ552-22-2-2222-222-2-22-2-2-222-22-22-2-2-2222-2-2-222-2-22200000000002-2-2200000000002i−2i00−2i2i00000000−2i2i2i−2i0000000000000000
χ562-22-2-2222-222-2-22-2-2-222-22-22-2-2-2222-2-2-222-2-22200000000002-2-220000000000−2i2i002i−2i000000002i−2i−2i2i0000000000000000
χ572-22-2-22-12-222-2-2-1-2112-11-1-22111-1-1-1111-12-2-22-10000003−3−33-111-13−33−3−33−33002i−2i00−2i2i00000000i−i−ii0000−i3i3i3−i300000000
χ582-22-2-22-12-222-2-2-1-2112-11-1-22111-1-1-1111-12-2-22-10000003−3−33-111-13−33−3−33−3300−2i2i002i−2i00000000−iii−i0000i3−i3−i3i300000000
χ592-22-2-22-12-222-2-2-1-2112-11-1-22111-1-1-1111-12-2-22-1000000−333−3-111-1−33−333−33−3002i−2i00−2i2i00000000i−i−ii0000i3−i3−i3i300000000
χ602-22-2-22-12-222-2-2-1-2112-11-1-22111-1-1-1111-12-2-22-1000000−333−3-111-1−33−333−33−300−2i2i002i−2i00000000−iii−i0000−i3i3i3−i300000000
χ61444444-24-4-4-4-44-24-2-24-2-2-244-2-2-2-2-2-2-2222-4-4-4-420000000000222200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i32i3−2i32i30000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i3−2i32i3−2i30000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-4-2444-4-44-24-2-24-222-4-4-22222-2-22-2-2-4-4442000000000022-2-200000000000000000000000000000000000000000000
χ674444-4-4-2-244-4-4-2-2-2-2-2-2122221-1-1-1-1112-2-222-2-2200−2i32i32i3−2i30000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ684444-4-4-2-244-4-4-2-2-2-2-2-2122221-1-1-1-1112-2-222-2-22002i3−2i3−2i32i30000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ694444-4-4-2-2-4-444-2-2-2-2-2-2122221-1-1-1-111-222-2-222-24-4-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-2-4-444-2-2-2-2-2-2122221-1-1-1-111-222-2-222-2-4422-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ7144-4-400440000-4-44-44-440000-40000-440000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ7244-4-400440000-4-44-44-440000-40000-4400000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ734-44-44-44-24-44-4242-4-4-2-24-4-222-2-222-22-44-4-22-2240000000000-22-2200000000000000000000000000000000000000000000
χ744-44-44-44-2-44-44242-4-4-2-24-4-222-2-222-224-442-22-2-400000000002-22-200000000000000000000000000000000000000000000
χ754-44-44-4-24-44-44-4-2-4224-2-224-42-2-222-22-22-2-44-44200000000002-22-200000000000000000000000000000000000000000000
χ764-44-44-4-2-24-44-42-2222-21-22-22-111-1-11-12-22-22-22-200000023−2323−231-11-1−33−33−33−33000000000000000000000000000000000000
χ774-44-44-4-2-24-44-42-2222-21-22-22-111-1-11-12-22-22-22-2000000−2323−23231-11-13−33−33−33−3000000000000000000000000000000000000
χ784-44-44-4-2-2-44-442-2222-21-22-22-111-1-11-1-22-22-22-220000000000-11-113i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000
χ794-44-44-4-2-2-44-442-2222-21-22-22-111-1-11-1-22-22-22-220000000000-11-11−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000
χ804-44-4-444-24-4-44242-4-4-2-2-442-2222-2-2-2244-42-2-22-400000000002-2-2200000000000000000000000000000000000000000000
χ814-44-4-444-2-444-4242-4-4-2-2-442-2222-2-2-22-4-44-222-240000000000-222-200000000000000000000000000000000000000000000
χ824-44-4-44-244-4-44-4-2-4224-22-2-44222-2-2-22-2-22-444-4200000000002-2-2200000000000000000000000000000000000000000000
χ834-44-4-44-2-24-4-442-2222-212-22-2-1-1-1111-1-2-222-2-2220000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ844-44-4-44-2-24-4-442-2222-212-22-2-1-1-1111-1-2-222-2-2220000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ854-44-4-44-2-2-444-42-2222-212-22-2-1-1-1111-122-2-222-2-200000023−23−23231-1-11−33−333−33−3000000000000000000000000000000000000
χ864-44-4-44-2-2-444-42-2222-212-22-2-1-1-1111-122-2-222-2-2000000−232323−231-1-113−33−3−33−33000000000000000000000000000000000000
χ874-4-44004400004-4-44-4-44000040000-4-400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ884-4-44004400004-4-44-4-44000040000-4-4000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ8988-8-8008-400004-8-4-884-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-8484-4-8-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-4000044-44-4420000-26-66-6-22000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-4000044-44-4420000-2-66-66-22000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-4-848-84-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-48000084-8-44-8-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000-444-4442000026-6-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-40000-444-444200002-666-6-2-2000000000000000000000000000000000000000000000000000000000000000000

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