Finite Group Databasebeta

← Group #11867820

Character table — Group #11867820

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666666661212121212121212441212121212121212121212121212121212121212224488888888244466661212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-111-1-1-1-1-1-1111111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-111-1-1
χ91111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-11-11-111-1-1111111-1-11-11111-1-11-1-1-111-1-1-1-11-1
χ101111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-11-11-1-1-111-1-1-1-11-11-11-111-1-1111-1-1-1-1-11111-11
χ111111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-11-11-11-1-111-1-1-111111-1-111-11
χ121111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-111-1-111-111-1-111-1-111-1-11111-1-1-1-1-11-11-1-1111111-1-111-11-1-1-1-111-1111-1-111-1-11-1
χ131111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-111111-11-111-1-11111-1-1111-1-1-1-1-1111-11111-1-1-1-1-11
χ141111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-111111-11-1-1-111-1-1-1-1-11-111-1-1-111-1-11-111-1-111111-1
χ151111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-11111-11-1111-1-1-1-1-1-11-11-1-1111-1-111-11-1-111-1-1111-1
χ161111-1-1111-1-111111111-1-1-1-11-1-1-1-1111-1-111-1-11-11-1-111-1-11111-1-1-1-1-1-11111-11-11-1-111111111-1-1-111111-1-1-11-1-1-1-111-1-1-11
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002-2-220000000000002-2000000-220000000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-222-2000000000000-220000002-20000000000
χ192222222-12222-12-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000002002-1-1-1-10000-1-1-1-100000000
χ202222222-12222-12-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-200-211110000111100000000
χ212222222-12222-12-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-2-1-1-1-111111111222200000000-200-2-1-1110000-1-11100000000
χ222222222-12222-12-122-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-200000000200211-1-1000011-1-100000000
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−i3i3i32-2-22000000000000-11−i3i300001-1−i3i300000000
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−i3i3i3-222-20000000000001-1i3−i30000-11i3−i300000000
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−i32-2-22000000000000-11i3−i300001-1i3−i300000000
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−i3-222-20000000000001-1−i3i30000-11−i3i300000000
χ27222222-1222222-12-1-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000002200000-1-1-1-10000-1-1-1-10000
χ28222222-1222222-12-1-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000-2-2000001111000011110000
χ29222222-1222222-12-1-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-2-21111-1-1-1-1111111110000222200000-2-20000011110000-1-1-1-10000
χ30222222-1222222-12-1-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-2-21111-1-1-1-1111111110000-2-2-2-2000002200000-1-1-1-1000011110000
χ312222-2-222-222-22222222-2-2-2-22-2-2-2-222-222-2-222-20000000000-2-2220000000022-2-200000000000022000000-2-20000000000
χ322222-2-222-222-22222222-2-2-2-22-2-2-2-222-222-2-222-20000000000-2-22200000000-2-222000000000000-2-2000000220000000000
χ332222-2-22-12-2-22-12-122-1-1-2-211-11111-1-12-2-2-1-11122-2-1-11122-2-2-1-111-1-1-1-111112-22-200000000200-2-11-1-10000-111100000000
χ342222-2-22-12-2-22-12-122-1-1-2-211-11111-1-12-2-2-1-11122-2-1-11122-2-2-1-111-1-1-1-11111-22-2200000000-20021-11100001-1-1-100000000
χ352222-2-22-12-2-22-12-122-1-1-2-211-11111-1-12-2-2-1-1112-2211-1-1-2-222-1-1111111-1-1-1-12-22-200000000-2002-11110000-11-1-100000000
χ362222-2-22-12-2-22-12-122-1-1-2-211-11111-1-12-2-2-1-1112-2211-1-1-2-222-1-1111111-1-1-1-1-22-2200000000200-21-1-1-100001-11100000000
χ372222-2-22-1-222-2-12-122-1-1-2-211-11111-1-1-22211-1-1-200−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i322-2-2000000000000-1-1−i3i3000011i3−i300000000
χ382222-2-22-1-222-2-12-122-1-1-2-211-11111-1-1-22211-1-1-200−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i3-2-22200000000000011i3−i30000-1-1−i3i300000000
χ392222-2-22-1-222-2-12-122-1-1-2-211-11111-1-1-22211-1-1-200i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i322-2-2000000000000-1-1i3−i3000011−i3i300000000
χ402222-2-22-1-222-2-12-122-1-1-2-211-11111-1-1-22211-1-1-200i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i3-2-22200000000000011−i3i30000-1-1i3−i300000000
χ412222-2-2-122-2-222-12-1-12-111-2-2-11111-1-1-11122-2-2-12-222-2-2-1-111-1-111-1-1-1-11111000022-2-2000002-200000-1-1110000-1-1110000
χ422222-2-2-122-2-222-12-1-12-111-2-2-11111-1-1-11122-2-2-12-222-2-2-1-111-1-111-1-1-1-111110000-2-22200000-220000011-1-1000011-1-10000
χ432222-2-2-122-2-222-12-1-12-111-2-2-11111-1-1-11122-2-2-1-22-2-22211-1-1-1-1111111-1-1-1-1000022-2-200000-220000011-1-10000-1-1110000
χ442222-2-2-122-2-222-12-1-12-111-2-2-11111-1-1-11122-2-2-1-22-2-22211-1-1-1-1111111-1-1-1-10000-2-222000002-200000-1-111000011-1-10000
χ452-2-222-22222-2-2-22-2-2-2222-22-2-222-2-22-222-22-22-2-200000000002-22-200000000000000002i2i−2i−2i000000000000000000002i−2i00
χ462-2-222-22222-2-2-22-2-2-2222-22-2-222-2-22-222-22-22-2-200000000002-22-20000000000000000−2i−2i2i2i00000000000000000000−2i2i00
χ472-2-222-222-2-222-22-2-2-2222-22-2-222-2-22-2-2-22-22-2220000000000-22-220000000000002-22-2000000000000000000002-22-20000
χ482-2-222-222-2-222-22-2-2-2222-22-2-222-2-22-2-2-22-22-2220000000000-22-22000000000000-22-2200000000000000000000-22-220000
χ492-2-222-2-12-2-222-2-1-2112-1-112-21-1-111-1111-1-22-22-10000003−33−31-11-13−33−33−33−300002-22-20000000000003−33−30000-11-110000
χ502-2-222-2-12-2-222-2-1-2112-1-112-21-1-111-1111-1-22-22-10000003−33−31-11-13−33−33−33−30000-22-22000000000000−33−3300001-11-10000
χ512-2-222-2-12-2-222-2-1-2112-1-112-21-1-111-1111-1-22-22-1000000−33−331-11-1−33−33−33−3300002-22-2000000000000−33−330000-11-110000
χ522-2-222-2-12-2-222-2-1-2112-1-112-21-1-111-1111-1-22-22-1000000−33−331-11-1−33−33−33−330000-22-220000000000003−33−300001-11-10000
χ532-2-22-22222-22-2-22-2-2-222-22-22-2-2-2222-22-222-2-22-200000000002-2-2200000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ542-2-22-22222-22-2-22-2-2-222-22-22-2-2-2222-22-222-2-22-200000000002-2-220000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ552-2-22-2222-22-22-22-2-2-222-22-22-2-2-2222-2-22-2-222-220000000000-222-20000000000002-2-22000000000000000000002-2-220000
χ562-2-22-2222-22-22-22-2-2-222-22-22-2-2-2222-2-22-2-222-220000000000-222-2000000000000-222-200000000000000000000-222-20000
χ572-2-22-22-12-22-22-2-1-2112-11-1-22111-1-1-111-11-222-2-10000003−3−331-1-113−33−3−33−3300002-2-220000000000003−3−330000-111-10000
χ582-2-22-22-12-22-22-2-1-2112-11-1-22111-1-1-111-11-222-2-10000003−3−331-1-113−33−3−33−330000-222-2000000000000−333−300001-1-110000
χ592-2-22-22-12-22-22-2-1-2112-11-1-22111-1-1-111-11-222-2-1000000−333−31-1-11−33−333−33−300002-2-22000000000000−333−30000-111-10000
χ602-2-22-22-12-22-22-2-1-2112-11-1-22111-1-1-111-11-222-2-1000000−333−31-1-11−33−333−33−30000-222-20000000000003−3−3300001-1-110000
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
χ664444-4-4-24-444-44-24-2-24-222-4-4-22222-2-22-2-2-4-4442000000000022-2-200000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-222-2-222-24-4-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-222-2-222-2-4422-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-1112-2-222-2-2200−2i32i32i3−2i30000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-1112-2-222-2-22002i3−2i3−2i32i30000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-4004400004-4-44-4-44000040000-4-40000000000000000000000000000000000000022−2222−22000000000000000000000000
χ7244-4-4004400004-4-44-4-44000040000-4-400000000000000000000000000000000000000−2222−2222000000000000000000000000
χ734-44-400440000-4-44-44-440000-40000-4400000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ744-44-400440000-4-44-44-440000-40000-44000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ754-4-444-44-244-4-4242-4-4-2-24-4-222-2-222-2244-4-22-22-40000000000-22-2200000000000000000000000000000000000000000000
χ764-4-444-44-2-4-444242-4-4-2-24-4-222-2-222-22-4-442-22-2400000000002-22-200000000000000000000000000000000000000000000
χ774-4-444-4-2444-4-4-4-2-4224-2-224-42-2-222-22-2-224-44-420000000000-22-2200000000000000000000000000000000000000000000
χ784-4-444-4-2-244-4-42-2222-21-22-22-111-1-11-1-2-22-22-22200000000001-11-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000
χ794-4-444-4-2-244-4-42-2222-21-22-22-111-1-11-1-2-22-22-22200000000001-11-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000
χ804-4-444-4-2-2-4-4442-2222-21-22-22-111-1-11-122-22-22-2-200000023−2323−23-11-11−33−33−33−33000000000000000000000000000000000000
χ814-4-444-4-2-2-4-4442-2222-21-22-22-111-1-11-122-22-22-2-2000000−2323−2323-11-113−33−33−33−3000000000000000000000000000000000000
χ824-4-44-444-24-44-4242-4-4-2-2-442-2222-2-2-224-44-222-2-40000000000-222-200000000000000000000000000000000000000000000
χ834-4-44-444-2-44-44242-4-4-2-2-442-2222-2-2-22-44-42-2-22400000000002-2-2200000000000000000000000000000000000000000000
χ844-4-44-44-244-44-4-4-2-4224-22-2-44222-2-2-22-22-24-4-4420000000000-222-200000000000000000000000000000000000000000000
χ854-4-44-44-2-24-44-42-2222-212-22-2-1-1-1111-1-22-2-222-2200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ864-4-44-44-2-24-44-42-2222-212-22-2-1-1-1111-1-22-2-222-2200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ874-4-44-44-2-2-44-442-2222-212-22-2-1-1-1111-12-222-2-22-200000023−23−2323-111-1−33−333−33−3000000000000000000000000000000000000
χ884-4-44-44-2-2-44-442-2222-212-22-2-1-1-1111-12-222-2-22-2000000−232323−23-111-13−33−3−33−33000000000000000000000000000000000000
χ8988-8-8008-40000-4-848-84-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-48000084-8-44-8-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-444-4442000026-66-6-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-444-444200002-66-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-400004-8-4-884-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-480000-8484-4-8-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044-44-4420000-26-6-66-22000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044-44-4420000-2-666-6-22000000000000000000000000000000000000000000000000000000000000000000

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