Finite Group Databasebeta

← Group #11864149

Character table — Group #11864149

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12222233444466666636666666121212121212121212121212668812122424242424242424242424242424242422224444224422446666666612121212121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-111-1-1111111111-1-1-1-111111-1-1-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-1111111-1-1-1-1-1-111-1-1-111-1
χ101111-1-111-1-1111111111-1-1-1-111111-1-1-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-1-11111-1-1-1-111-1-1111-1-11
χ111111-1-111-1-1111111111-1-1-1-111111-1-1-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-111-1-1-1-11111-1-111-1-11-1-11
χ121111-1-111-1-1111111111-1-1-1-111111-1-1-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11-1-1-1-1-1-1111111-1-111-111-1
χ131111-1-111-1-1111111111-1-1-1-111111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-11-111111-1-111-1-1-1-1-1-111-11-11
χ141111-1-111-1-1111111111-1-1-1-111111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-111-1-1-111-1-111-1-11111-1-11-11-1
χ151111-1-111-1-1111111111-1-1-1-111111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-1111-1-111-1-111-1-1-1-1111-11-1
χ161111-1-111-1-1111111111-1-1-1-111111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11-11-1-1-1-1-111-1-1111111-1-1-11-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000022-2-2000000000000000000002-200
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000-2-22200000000000000000000-2200
χ192222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1220022000000220000-1-1-1-1-1-1-1-10000000000
χ202222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2000000-2-20000111111110000000000
χ212222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111220022000000-2-20000-1-11111-1-10000000000
χ222222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111-2-200-2-200000022000011-1-1-1-1110000000000
χ23222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10022002200000022-1-100000000-1-1-1-1-1-10000
χ24222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-200-2-2000000-2-211000000001111110000
χ25222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-2111100220022000000-2-2-1-100000000-1-111110000
χ26222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-2111100-2-200-2-200000022110000000011-1-1-1-10000
χ272222-2-22222-2-22222222-2-2-2-2222-2-22222-2-2-2-2-2-2-2-20022000000000000000000000000222200000000000000000000-2-200
χ282222-2-22222-2-22222222-2-2-2-2222-2-22222-2-2-2-2-2-2-2-20022000000000000000000000000-2-2-2-2000000000000000000002200
χ292222-2-22-1-2-2222-1-12-12-1-2-211-1-1-12-1-2-211-1-12-1-1-1112-21122-1-1-1-1-1-1-2-21111112200-2-20000002-20000-1-1-1-111110000000000
χ302222-2-22-1-2-2222-1-12-12-1-2-211-1-1-12-1-2-211-1-12-1-1-1112-21122-1-1-1-1-1-1-2-2111111-2-20022000000-2200001111-1-1-1-10000000000
χ312222-2-22-1-2-2222-1-12-12-1-2-211-1-1-12-1-2-211-1-12-1-1-111-2211-2-211111122-1-1-1-1-1-12200-2-2000000-220000-1-111-1-1110000000000
χ322222-2-22-1-2-2222-1-12-12-1-2-211-1-1-12-1-2-211-1-12-1-1-111-2211-2-211111122-1-1-1-1-1-1-2-200220000002-2000011-1-111-1-10000000000
χ332222-2-2-12-2-222-122-12-1-111-2-2-1-1-1-1211-2-2-1-1-12-1-1112-211-1-122-1-1-1-111-2-21111002200-2-20000002-2-1-10000000011-1-1110000
χ342222-2-2-12-2-222-122-12-1-111-2-2-1-1-1-1211-2-2-1-1-12-1-1112-211-1-122-1-1-1-111-2-2111100-2-20022000000-221100000000-1-111-1-10000
χ352222-2-2-12-2-222-122-12-1-111-2-2-1-1-1-1211-2-2-1-1-12-1-111-221111-2-21111-1-122-1-1-1-1002200-2-2000000-22-1-1000000001111-1-10000
χ362222-2-2-12-2-222-122-12-1-111-2-2-1-1-1-1211-2-2-1-1-12-1-111-221111-2-21111-1-122-1-1-1-100-2-200220000002-21100000000-1-1-1-1110000
χ372-2-222-2222-22-2-2-2-222-222-22-2-2-22-2-22-22-2-2-222222-2002-200000000000000002-2002-20000000000002-200002-20000000000
χ382-2-222-2222-22-2-2-2-222-222-22-2-2-22-2-22-22-2-2-222222-2002-20000000000000000-2200-22000000000000-220000-220000000000
χ392-2-222-222-22-22-2-2-222-222-22-2-2-2222-22-2222-2-2-2-22-200-220000000000000000002-2002-2000000002-2000000002-200000000
χ402-2-222-222-22-22-2-2-222-222-22-2-2-2222-22-2222-2-2-2-22-200-22000000000000000000-2200-2200000000-2200000000-2200000000
χ412-2-222-22-12-22-2-2112-1-2-12-2-1111-1-212-2-11112-1-1-1-1100-1100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32-2002-2000000000000-11−i3i3−i3i3-110000000000
χ422-2-222-22-12-22-2-2112-1-2-12-2-1111-1-212-2-11112-1-1-1-1100-1100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-2200-220000000000001-1i3−i3i3−i31-10000000000
χ432-2-222-22-12-22-2-2112-1-2-12-2-1111-1-212-2-11112-1-1-1-1100-1100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32-2002-2000000000000-11i3−i3i3−i3-110000000000
χ442-2-222-22-12-22-2-2112-1-2-12-2-1111-1-212-2-11112-1-1-1-1100-1100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-2200-220000000000001-1−i3i3−i3i31-10000000000
χ452-2-222-2-12-22-221-2-2-121-1-112-211-1-121-1-22-1-11-211-11001-13−3003−33−33−3003−33−3002-2002-200000000-1100000000-113−33−30000
χ462-2-222-2-12-22-221-2-2-121-1-112-211-1-121-1-22-1-11-211-11001-13−3003−33−33−3003−33−300-2200-22000000001-1000000001-1−33−330000
χ472-2-222-2-12-22-221-2-2-121-1-112-211-1-121-1-22-1-11-211-11001-1−3300−33−33−3300−33−33002-2002-200000000-1100000000-11−33−330000
χ482-2-222-2-12-22-221-2-2-121-1-112-211-1-121-1-22-1-11-211-11001-1−3300−33−33−3300−33−3300-2200-22000000001-1000000001-13−33−30000
χ492-2-22-22222-2-22-2-2-222-22-22-22-2-22222-22-222-2-2-2-2-22002-20000000000000000002-200-22000000002-200000000-2200000000
χ502-2-22-22222-2-22-2-2-222-22-22-22-2-22222-22-222-2-2-2-2-22002-2000000000000000000-22002-200000000-22000000002-200000000
χ512-2-22-2222-222-2-2-2-222-22-22-22-2-22-2-2-22-22-2-22222-2200-2200000000000000002-200-220000000000002-20000-220000000000
χ522-2-22-2222-222-2-2-2-222-22-22-22-2-22-2-2-22-22-2-22222-2200-220000000000000000-22002-2000000000000-2200002-20000000000
χ532-2-22-222-1-222-2-2112-1-2-1-221-111-1-21-221-1112-1-1-11-1001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i32-200-22000000000000-11−i3i3i3−i31-10000000000
χ542-2-22-222-1-222-2-2112-1-2-1-221-111-1-21-221-1112-1-1-11-1001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i3-22002-20000000000001-1i3−i3−i3i3-110000000000
χ552-2-22-222-1-222-2-2112-1-2-1-221-111-1-21-221-1112-1-1-11-1001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i32-200-22000000000000-11i3−i3−i3i31-10000000000
χ562-2-22-222-1-222-2-2112-1-2-1-221-111-1-21-221-1112-1-1-11-1001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i3-22002-20000000000001-1−i3i3i3−i3-110000000000
χ572-2-22-22-122-2-221-2-2-121-11-1-2211-1-12-112-2-1-11-2111-100-113−3003−33−3−3300−33−33002-200-2200000000-11000000001-13−3−330000
χ582-2-22-22-122-2-221-2-2-121-11-1-2211-1-12-112-2-1-11-2111-100-113−3003−33−3−3300−33−3300-22002-2000000001-100000000-11−333−30000
χ592-2-22-22-122-2-221-2-2-121-11-1-2211-1-12-112-2-1-11-2111-100-11−3300−33−333−3003−33−3002-200-2200000000-11000000001-1−333−30000
χ602-2-22-22-122-2-221-2-2-121-11-1-2211-1-12-112-2-1-11-2111-100-11−3300−33−333−3003−33−300-22002-2000000001-100000000-113−3−330000
χ614444444-2-4-4-4-44-2-24-24-244-2-2-2-2-2-42-4-42222-4222-2-200220000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-244-24-2-2-2-244-2-2-22-422-4-4222-422-2-200220000000000000000000000000000000000000000000000000000
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
χ674444-4-44-244-4-44-2-24-24-2-4-422-2-2-2-4244-2-222-42222200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-2444-4-4-244-24-2-222-4-4-2-2-22-4-2-244222-4222200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-21222211122-2-2-2-2-1-122-1-1-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-21222211122-2-2-2-2-1-122-1-1-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-212222111-2-2222211-2-211-1-14-4-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-212222111-2-2222211-2-211-1-1-44-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7344-4-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ7444-4-40044000044-4-4-4-4400004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ754-44-400440000-4-44-4-4440000-44-40000000000000000000000000000000000000000004-400000000000000000000000000
χ764-44-400440000-4-44-4-4440000-44-4000000000000000000000000000000000000000000-4400000000000000000000000000
χ774-4-444-44-2-44-44-4224-2-4-24-4-2222-24-2-442-2-2-2-4222-22002-20000000000000000000000000000000000000000000000000000
χ784-4-444-4-244-44-42-4-4-242-2-224-422-22-4-224-422-24-2-2-2200-220000000000000000000000000000000000000000000000000000
χ794-4-444-4-2-24-44-4222-2-221-22-22-1-1122-22-22-1-1-2-2111-1001-100−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ804-4-444-4-2-24-44-4222-2-221-22-22-1-1122-22-22-1-1-2-2111-1001-1002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ814-4-444-4-2-2-44-44222-2-221-22-22-1-11-2-22-22-21122-1-11-100-1123−2300−33−3323−2300−33−33000000000000000000000000000000000000
χ824-4-444-4-2-2-44-44222-2-221-22-22-1-11-2-22-22-21122-1-11-100-11−2323003−33−3−2323003−33−3000000000000000000000000000000000000
χ834-4-44-444-24-4-44-4224-2-4-2-442-222-24-24-4-22-2-2-42222-200-220000000000000000000000000000000000000000000000000000
χ844-4-44-44-24-444-42-4-4-242-22-2-4422-22-42-2-4422-24-2-22-2002-20000000000000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-44222-2-2212-22-2-1-11-2-2-22-221122-1-1-11001-123−2300−33−33−2323003−33−3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-44222-2-2212-22-2-1-11-2-2-22-221122-1-1-11001-1−2323003−33−323−2300−33−33000000000000000000000000000000000000
χ874-4-44-44-2-2-444-4222-2-2212-22-2-1-11222-22-2-1-1-2-211-1100-1100−2i32i3i3i3−i3−i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-4222-2-2212-22-2-1-11222-22-2-1-1-2-211-1100-11002i3−2i3−i3−i3i3i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ8988-8-8008-400008-44-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-48-84-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4-44444200002-2-20000006i−6i006i−6i0000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-44444200002-2-2000000−6i6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-84-4-848-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-884-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044-444-420000-22-20000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044-444-420000-22-2000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000000000

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