Finite Group Databasebeta

← Group #11864456

Character table — Group #11864456

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424242244444422446666661212121212121212121222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ91111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-11111-1-111-1-1-1-111-1-11-11-111-1-1
χ101111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1-1-111-11-11-1-111
χ111111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-11111-1-11111-1-1-11-11-1-111
χ121111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-111-1-11111-1-1111-11-111-1-1
χ131111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-1111-1-111-1-111-1-111-1-11-11-1-1-111
χ141111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-111-1-11111-1-1-1-1-1-111-11-1111-1-1
χ151111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11-1-111-1-1-1-1111111-1-1-11-1111-1-1
χ161111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1-1-111-1-111-1-111-1-1111-11-1-1-111
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000002-2-220000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000-222-20000
χ192222222-12222-1-122-12-122-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200002200-1-1-1-1-1-10000-1-1000000000000
χ202222222-12222-1-122-12-122-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-200111111000011000000000000
χ212222222-12222-1-122-12-122-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-1-2-2111111-2-211111122220000-2-200-1-111110000-1-1000000000000
χ222222222-12222-1-122-12-122-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-20000220011-1-1-1-1000011000000000000
χ23222222-12222222-1-12-1-1-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220022000000-1-1-1-100-1-1-1-100000000
χ24222222-12222222-1-12-1-1-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200-2-2000000111100111100000000
χ25222222-12222222-1-12-1-1-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000222200-2-2000000111100-1-1-1-100000000
χ26222222-12222222-1-12-1-1-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-20022000000-1-1-1-100111100000000
χ272222-2-22222-2-22222222-2-2-2-2222-222-222-2-2-2-2-2-2-2-200220000000000000000000000000000000000000000000022-2-20000
χ282222-2-22222-2-22222222-2-2-2-2222-222-222-2-2-2-2-2-2-2-2002200000000000000000000000000000000000000000000-2-2220000
χ292222-2-22-1-2-222-1-122-12-1-2-211-1-1-1-1112-2-2-1-1-12-1-1112-21122-1-1-1-1-1-1-2-211111122-2-200002-200-1-1-1-111000011000000000000
χ302222-2-22-1-2-222-1-122-12-1-2-211-1-1-1-1112-2-2-1-1-12-1-1112-21122-1-1-1-1-1-1-2-2111111-2-2220000-22001111-1-10000-1-1000000000000
χ312222-2-22-1-2-222-1-122-12-1-2-211-1-1-1-1112-2-2-1-1-12-1-111-2211-2-211111122-1-1-1-1-1-122-2-20000-2200-1-111-1-1000011000000000000
χ322222-2-22-1-2-222-1-122-12-1-2-211-1-1-1-1112-2-2-1-1-12-1-111-2211-2-211111122-1-1-1-1-1-1-2-22200002-20011-1-1110000-1-1000000000000
χ332222-2-2-12-2-22222-1-12-1-111-2-2-1-1-12-2-2-111-1-12-1-1-1112-211-1-122-1-1-1-111-2-21111000022-2-2002-2000000-1-11100-1-11100000000
χ342222-2-2-12-2-22222-1-12-1-111-2-2-1-1-12-2-2-111-1-12-1-1-1112-211-1-122-1-1-1-111-2-211110000-2-22200-2200000011-1-10011-1-100000000
χ352222-2-2-12-2-22222-1-12-1-111-2-2-1-1-12-2-2-111-1-12-1-1-111-221111-2-21111-1-122-1-1-1-1000022-2-200-2200000011-1-100-1-11100000000
χ362222-2-2-12-2-22222-1-12-1-111-2-2-1-1-12-2-2-111-1-12-1-1-111-221111-2-21111-1-122-1-1-1-10000-2-222002-2000000-1-1110011-1-100000000
χ372-2-222-2222-22-2-2-2-2-22222-22-2-2-22-22-2-22-2-2-222222-2002-200000000000000002-22-2000000002-2000000002-2000000000000
χ382-2-222-2222-22-2-2-2-2-22222-22-2-2-22-22-2-22-2-2-222222-2002-20000000000000000-22-2200000000-2200000000-22000000000000
χ392-2-222-222-22-22-2-2-2-22222-22-2-2-222-222-2222-2-2-2-22-200-22000000000000000000002-22-200000000000000002-22-200000000
χ402-2-222-222-22-22-2-2-2-22222-22-2-2-222-222-2222-2-2-2-22-200-2200000000000000000000-22-220000000000000000-22-2200000000
χ412-2-222-22-12-22-211-2-2-12-12-2-1111-11-11-22-211-12-1-1-1100-1100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32-22-200000000-11−i3i3−i3i30000-11000000000000
χ422-2-222-22-12-22-211-2-2-12-12-2-1111-11-11-22-211-12-1-1-1100-1100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-22-22000000001-1i3−i3i3−i300001-1000000000000
χ432-2-222-22-12-22-211-2-2-12-12-2-1111-11-11-22-211-12-1-1-1100-1100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32-22-200000000-11i3−i3i3−i30000-11000000000000
χ442-2-222-22-12-22-211-2-2-12-12-2-1111-11-11-22-211-12-1-1-1100-1100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-22-22000000001-1−i3i3−i3i300001-1000000000000
χ452-2-222-2-12-22-22-2-2112-1-1-112-211-12-22-11-1-1-1-2111-11001-13−3003−33−33−3003−33−300002-22-200000000003−33−300-11-1100000000
χ462-2-222-2-12-22-22-2-2112-1-1-112-211-12-22-11-1-1-1-2111-11001-13−3003−33−33−3003−33−30000-22-220000000000−33−33001-11-100000000
χ472-2-222-2-12-22-22-2-2112-1-1-112-211-12-22-11-1-1-1-2111-11001-1−3300−33−33−3300−33−3300002-22-20000000000−33−3300-11-1100000000
χ482-2-222-2-12-22-22-2-2112-1-1-112-211-12-22-11-1-1-1-2111-11001-1−3300−33−33−3300−33−330000-22-2200000000003−33−3001-11-100000000
χ492-2-22-22222-2-22-2-2-2-2222-22-22-2-2222-222-222-2-2-2-2-22002-2000000000000000000002-2-2200000000000000002-2-2200000000
χ502-2-22-22222-2-22-2-2-2-2222-22-22-2-2222-222-222-2-2-2-2-22002-200000000000000000000-222-20000000000000000-222-200000000
χ512-2-22-2222-222-2-2-2-2-2222-22-22-2-22-2-22-2-22-2-22222-2200-2200000000000000002-2-22000000002-200000000-22000000000000
χ522-2-22-2222-222-2-2-2-2-2222-22-22-2-22-2-22-2-22-2-22222-2200-220000000000000000-222-200000000-22000000002-2000000000000
χ532-2-22-222-1-222-211-2-2-12-1-221-111-111-1-2-2211-12-1-11-1001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i32-2-2200000000-11−i3i3i3−i300001-1000000000000
χ542-2-22-222-1-222-211-2-2-12-1-221-111-111-1-2-2211-12-1-11-1001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i3-222-2000000001-1i3−i3−i3i30000-11000000000000
χ552-2-22-222-1-222-211-2-2-12-1-221-111-111-1-2-2211-12-1-11-1001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i32-2-2200000000-11i3−i3−i3i300001-1000000000000
χ562-2-22-222-1-222-211-2-2-12-1-221-111-111-1-2-2211-12-1-11-1001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i3-222-2000000001-1−i3i3i3−i30000-11000000000000
χ572-2-22-22-122-2-22-2-2112-1-11-1-2211-122-2-1-11-1-1-21111-100-113−3003−33−3−3300−33−3300002-2-2200000000003−3−3300-111-100000000
χ582-2-22-22-122-2-22-2-2112-1-11-1-2211-122-2-1-11-1-1-21111-100-113−3003−33−3−3300−33−330000-222-20000000000−333−3001-1-1100000000
χ592-2-22-22-122-2-22-2-2112-1-11-1-2211-122-2-1-11-1-1-21111-100-11−3300−33−333−3003−33−300002-2-220000000000−333−300-111-100000000
χ602-2-22-22-122-2-22-2-2112-1-11-1-2211-122-2-1-11-1-1-21111-100-11−3300−33−333−3003−33−30000-222-200000000003−3−33001-1-1100000000
χ614444444-2-4-4-4-4-2-244-24-244-2-2-2-2-2222-4-4-4222-422-2-200220000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-444-2-24-2-2-2-244-2-2-2-4-4-422222-4222-2-200220000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-211114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-21111-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-122-1-11100-1-100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-122-1-11100-1-10000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ674444-4-44-244-4-4-2-244-24-2-4-422-2-2-22-2-2-444222-4222200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-2444-4-444-2-24-2-222-4-4-2-2-2-4442-2-222-42222200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-2122221112-2-22-2-2-1-122-1-1-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-2122221112-2-22-2-2-1-122-1-1-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-212222111-222-22211-2-211-1-14-4-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-212222111-222-22211-2-211-1-1-44-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-4400004-4-400000000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ7444-4-4004400004-44-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ754-44-400440000-44-44-4-440000-44-4000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ764-44-400440000-44-44-4-440000-44-40000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ774-4-444-44-2-44-4422-4-4-24-24-4-2222-2-22-24-44-2-22-422-22002-20000000000000000000000000000000000000000000000000000
χ784-4-444-4-244-44-4-4-4224-2-2-224-422-2-44-42-22224-2-2-2-2200-220000000000000000000000000000000000000000000000000000
χ794-4-444-4-2-24-44-42222-2-21-22-22-1-112-222-22-1-1-2-2111-1001-100−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ804-4-444-4-2-24-44-42222-2-21-22-22-1-112-222-22-1-1-2-2111-1001-1002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ814-4-444-4-2-2-44-442222-2-21-22-22-1-11-22-2-22-21122-1-11-100-1123−2300−33−3323−2300−33−33000000000000000000000000000000000000
χ824-4-444-4-2-2-44-442222-2-21-22-22-1-11-22-2-22-21122-1-11-100-11−2323003−33−3−2323003−33−3000000000000000000000000000000000000
χ834-4-44-444-24-4-4422-4-4-24-2-442-222-2-2-2244-4-2-22-4222-200-220000000000000000000000000000000000000000000000000000
χ844-4-44-44-24-444-4-4-4224-2-22-2-4422-2-4-4422-2224-2-2-22-2002-20000000000000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-442222-2-212-22-2-1-11-2-22-2-221122-1-1-11001-123−2300−33−33−2323003−33−3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-442222-2-212-22-2-1-11-2-22-2-221122-1-1-11001-1−2323003−33−323−2300−33−33000000000000000000000000000000000000
χ874-4-44-44-2-2-444-42222-2-212-22-2-1-1122-222-2-1-1-2-211-1100-1100−2i32i3i3i3−i3−i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-42222-2-212-22-2-1-1122-222-2-1-1-2-211-1100-11002i3−2i3−i3−i3i3i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ8988-8-8008-40000-448-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4800008-8-44-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200002-2-20000006i−6i006i−6i0000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-4444200002-2-2000000−6i6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-88-8008-400004-4-884-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-480000-884-4-84-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-44-44420000-22-20000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-44-44420000-22-2000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000000000

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