Finite Group Databasebeta

← Group #11808412

Character table — Group #11808412

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order1222222233666666666666662222344666666666666666666666661212121212121212444444442244444444444444661212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ511111111111111111111111111-1-11-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-11-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ711111111111111111111111111-1-11-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111
χ811111111111111111111111111-1-11-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-111
χ9111111111111111111111111-1-1111-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-111
χ10111111111111111111111111-1-1111-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111
χ11111111111111111111111111-1-1111-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1
χ12111111111111111111111111-1-1111-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-11111-1-1
χ13111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ14111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1
χ15111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-11111
χ16111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111
χ17222222222-1222-1-1-1-1222-1-1-122222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000002200222200002200-1-1-1-1-1-1-1-100000000000000
χ18222222222-1222-1-1-1-1222-1-1-122222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000-2-200-2-2-2-20000-2-2001111111100000000000000
χ19222222222-1222-1-1-1-1222-1-1-1222-2-2-1-2-2-1-1-1-1-1-1-122-2-2-1-111-1-1-1-1111111-2-2111100000000220022-2-20000-2-200-1-1-1-1111100000000000000
χ20222222222-1222-1-1-1-1222-1-1-1222-2-2-1-2-2-1-1-1-1-1-1-122-2-2-1-111-1-1-1-1111111-2-2111100000000-2-200-2-222000022001111-1-1-1-100000000000000
χ21222222222-1222-1-1-1-1222-1-1-12-2-222-1-2-2-1-1-1-1-1-1-1-2-22211-1-11111-1-1-1-111-2-21111000000002200-2-2220000-2-200-1-111-1-11100000000000000
χ22222222222-1222-1-1-1-1222-1-1-12-2-222-1-2-2-1-1-1-1-1-1-1-2-22211-1-11111-1-1-1-111-2-2111100000000-2-20022-2-20000220011-1-111-1-100000000000000
χ23222222222-1222-1-1-1-1222-1-1-12-2-2-2-2-122-1-1-1-1-1-1-1-2-2-2-2111111111111-1-122-1-1-1-1000000002200-2-2-2-200002200-1-11111-1-100000000000000
χ24222222222-1222-1-1-1-1222-1-1-12-2-2-2-2-122-1-1-1-1-1-1-1-2-2-2-2111111111111-1-122-1-1-1-100000000-2-20022220000-2-20011-1-1-1-11100000000000000
χ2522222222-12-1-1-12222-1-1-1222-12222-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000002200002222002200000000-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-1-12222-1-1-1222-12222-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-20000-2-2-2-200-2-20000000011111111000000
χ2722222222-12-1-1-12222-1-1-1222-122-2-2-1-2-2-1-1-1-1-1-1-1-1-11122-2-2-1-1-1-11111-2-21111110000000000220000-2-22200-2-2000000001111-1-1-1-1000000
χ2822222222-12-1-1-12222-1-1-1222-122-2-2-1-2-2-1-1-1-1-1-1-1-1-11122-2-2-1-1-1-11111-2-21111110000000000-2-2000022-2-2002200000000-1-1-1-11111000000
χ2922222222-12-1-1-12222-1-1-1222-1-2-222-1-2-2-1-1-1-1-1-1-111-1-1-2-2221111-1-1-1-1-2-2111111000000000022000022-2-200-2-20000000011-1-111-1-1000000
χ3022222222-12-1-1-12222-1-1-1222-1-2-222-1-2-2-1-1-1-1-1-1-111-1-1-2-2221111-1-1-1-1-2-21111110000000000-2-20000-2-222002200000000-1-111-1-111000000
χ3122222222-12-1-1-12222-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-11111-2-2-2-21111111122-1-1-1-1-1-10000000000220000-2-2-2-2002200000000-1-11111-1-1000000
χ3222222222-12-1-1-12222-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-11111-2-2-2-21111111122-1-1-1-1-1-10000000000-2-20000222200-2-20000000011-1-1-1-111000000
χ33222-2-2-2-222222-2222-22-2-2-2-2-2-20000200222-2-2-2-20000000000000000000000002222-2-2-2-2002i−2i000000002i−2i000000002i−2i0000002i−2i000000
χ34222-2-2-2-222222-2222-22-2-2-2-2-2-20000200222-2-2-2-20000000000000000000000002222-2-2-2-200−2i2i00000000−2i2i00000000−2i2i000000−2i2i000000
χ35222-2-2-2-222222-2222-22-2-2-2-2-2-20000200222-2-2-2-2000000000000000000000000-2-2-2-22222002i−2i00000000−2i2i00000000−2i2i0000002i−2i000000
χ36222-2-2-2-222222-2222-22-2-2-2-2-2-20000200222-2-2-2-2000000000000000000000000-2-2-2-2222200−2i2i000000002i−2i000000002i−2i000000−2i2i000000
χ3722-222-2-2-2222-2-22-2-22-22-22-2-22002-22002-2-22-2-22002-2002-2000022-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000002i−2i
χ3822-222-2-2-2222-2-22-2-22-22-22-2-22002-22002-2-22-2-22002-2002-2000022-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000−2i2i
χ3922-222-2-2-2222-2-22-2-22-22-22-2-2200-222002-2-22-2-2200-2200-220000-2-222000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000−2i2i
χ4022-222-2-2-2222-2-22-2-22-22-22-2-2200-222002-2-22-2-2200-2200-220000-2-22200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000002i−2i
χ4122-2-2-222-2222-222-2-2-2-2-22-222-200002002-2-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i00002-2002i−2i000000002-20000002i−2i0000000000
χ4222-2-2-222-2222-222-2-2-2-2-22-222-200002002-2-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000-2200−2i2i00000000-22000000−2i2i0000000000
χ4322-2-2-222-2222-222-2-2-2-2-22-222-200002002-2-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i00002-200−2i2i000000002-2000000−2i2i0000000000
χ4422-2-2-222-2222-222-2-2-2-2-22-222-200002002-2-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000-22002i−2i00000000-220000002i−2i0000000000
χ452-222-22-2-222-22-2-22-22-2-22-22-222-200200-22-2-22-222-2002-20022-2-20000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000002i−2i00
χ462-222-22-2-222-22-2-22-22-2-22-22-222-200200-22-2-22-222-2002-20022-2-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000−2i2i00
χ472-222-22-2-222-22-2-22-22-2-22-22-22-2200200-22-2-22-22-2200-2200-2-2220000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000−2i2i00
χ482-222-22-2-222-22-2-22-22-2-22-22-22-2200200-22-2-22-22-2200-2200-2-222000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000002i−2i00
χ492-22-22-22-222-222-22-2-2-22-22-22-20000200-22-22-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i0000002-2002i−2i000000002-20000002i−2i00000000
χ502-22-22-22-222-222-22-2-2-22-22-22-20000200-22-22-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i000000-2200−2i2i00000000-22000000−2i2i00000000
χ512-22-22-22-222-222-22-2-2-22-22-22-20000200-22-22-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000002-200−2i2i000000002-2000000−2i2i00000000
χ522-22-22-22-222-222-22-2-2-22-22-22-20000200-22-22-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000-22002i−2i00000000-220000002i−2i00000000
χ532-2-22-2-22222-2-22-2-2222-2-2-2-222000022-2-2-22-2-22200000000000000002-22-222-2-22-2-222-2-22000000000000000000000000000000002-20000
χ542-2-22-2-22222-2-22-2-2222-2-2-2-222000022-2-2-22-2-22200000000000000002-22-222-2-2-222-2-222-200000000000000000000000000000000-220000
χ552-2-22-2-22222-2-22-2-2222-2-2-2-22200002-22-2-22-2-2220000000000000000-22-22-2-2222-2-222-2-2200000000000000000000000000000000-220000
χ562-2-22-2-22222-2-22-2-2222-2-2-2-22200002-22-2-22-2-2220000000000000000-22-22-2-222-222-2-222-2000000000000000000000000000000002-20000
χ572-2-2-222-2222-2-2-2-2-22-222222-2-20000200-2-2222-2-20000000000000000000000002-2-22-222-22-20000000000002-22-20000002-2000000000000
χ582-2-2-222-2222-2-2-2-2-22-222222-2-20000200-2-2222-2-20000000000000000000000002-2-22-222-2-22000000000000-22-22000000-22000000000000
χ592-2-2-222-2222-2-2-2-2-22-222222-2-20000200-2-2222-2-2000000000000000000000000-222-22-2-222-2000000000000-222-2000000-22000000000000
χ602-2-2-222-2222-2-2-2-2-22-222222-2-20000200-2-2222-2-2000000000000000000000000-222-22-2-22-220000000000002-2-220000002-2000000000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-244441441111111-2-2-2-2-2-2-2-211111111-2-2-2-211110000000000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-244-4-41-4-41111111-2-222-2-2221111-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4441-4-4111111122-2-222-2-2-1-1-1-111112222-1-1-1-10000000000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4144111111122222222-1-1-1-1-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000
χ65444-4-4-4-444-244-4-2-2-224-4-4222-40000-200-2-2-22222000000000000000000000000000000000000000000004i−4i00000000−2i2i00000000000000
χ66444-4-4-4-444-244-4-2-2-224-4-4222-40000-200-2-2-2222200000000000000000000000000000000000000000000−4i4i000000002i−2i00000000000000
χ67444-4-4-4-44-24-2-22444-4-222-4-4-420000-200-2-2-2222200000000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000
χ68444-4-4-4-44-24-2-22444-4-222-4-4-420000-200-2-2-222220000000000000000000000000000000000−4i4i000000000000000000000000002i−2i000000
χ6944-444-4-4-44-24-4-4-222-2-44-4-2224004-4-200-222-222-2004-400-220000-2-222000000000000000000000000000000000000000000000000000000
χ7044-444-4-4-44-24-4-4-222-2-44-4-222400-44-200-222-222-200-44002-2000022-2-2000000000000000000000000000000000000000000000000000000
χ7144-444-4-4-4-24-2224-4-442-224-4-4-2004-4-200-222-222-200-22004-40000-2-222000000000000000000000000000000000000000000000000000000
χ7244-444-4-4-4-24-2224-4-442-224-4-4-200-44-200-222-222-2002-200-44000022-2-2000000000000000000000000000000000000000000000000000000
χ7344-444-4-4-4-2-2-222-222-22-22-222-2004-41001-1-11-1-1100-2200-223-33-311-1-100003-33-30000000000000000000000000000000000000000000000
χ7444-444-4-4-4-2-2-222-222-22-22-222-2004-41001-1-11-1-1100-2200-22-33-3311-1-10000-33-330000000000000000000000000000000000000000000000
χ7544-444-4-4-4-2-2-222-222-22-22-222-200-441001-1-11-1-11002-2002-23-33-3-1-1110000-33-330000000000000000000000000000000000000000000000
χ7644-444-4-4-4-2-2-222-222-22-22-222-200-441001-1-11-1-11002-2002-2-33-33-1-11100003-33-30000000000000000000000000000000000000000000000
χ7744-4-4-444-44-24-44-2222-4-442-2-2-40000-200-2222-2-220000000000000000000000000000000000004-4000000000000-22000000000000000000
χ7844-4-4-444-44-24-44-2222-4-442-2-2-40000-200-2222-2-22000000000000000000000000000000000000-440000000000002-2000000000000000000
χ7944-4-4-444-4-24-22-24-4-4-422-2-44420000-200-2222-2-2200000000000000000000000000000000000000004i−4i0000000000000000−2i2i0000000000
χ8044-4-4-444-4-24-22-24-4-4-422-2-44420000-200-2222-2-220000000000000000000000000000000000000000−4i4i00000000000000002i−2i0000000000
χ814-444-44-4-44-2-44-42-22-2-4-442-2244-400-2002-222-22-24-400-2200-2-2220000000000000000000000000000000000000000000000000000000000
χ824-444-44-4-44-2-44-42-22-2-4-442-224-4400-2002-222-22-2-44002-20022-2-20000000000000000000000000000000000000000000000000000000000
χ834-444-44-4-4-242-22-44-4422-2-44-4-24-400-2002-222-22-2-22004-400-2-2220000000000000000000000000000000000000000000000000000000000
χ844-444-44-4-4-242-22-44-4422-2-44-4-2-4400-2002-222-22-22-200-440022-2-20000000000000000000000000000000000000000000000000000000000
χ854-444-44-4-4-2-22-222-22-222-22-22-24-400100-11-1-11-11-2200-220011-1-13-33-300003-3-330000000000000000000000000000000000000000000000
χ864-444-44-4-4-2-22-222-22-222-22-22-24-400100-11-1-11-11-2200-220011-1-1-33-330000-333-30000000000000000000000000000000000000000000000
χ874-444-44-4-4-2-22-222-22-222-22-22-2-4400100-11-1-11-112-2002-200-1-1113-33-30000-333-30000000000000000000000000000000000000000000000
χ884-444-44-4-4-2-22-222-22-222-22-22-2-4400100-11-1-11-112-2002-200-1-111-33-3300003-3-330000000000000000000000000000000000000000000000
χ894-44-44-44-44-2-4442-222-44-4-22-2-40000-2002-22-22-22000000000000000000000000000000000000004-4000000000000-220000000000000000
χ904-44-44-44-44-2-4442-222-44-4-22-2-40000-2002-22-22-2200000000000000000000000000000000000000-440000000000002-20000000000000000
χ914-44-44-44-4-242-2-2-44-4-42-224-4420000-2002-22-22-220000000000000000000000000000000000000000004i−4i0000000000000000−2i2i00000000
χ924-44-44-44-4-242-2-2-44-4-42-224-4420000-2002-22-22-22000000000000000000000000000000000000000000−4i4i00000000000000002i−2i00000000
χ934-4-44-4-4444-2-4-4422-2-24-4-422-240000-24-422-222-2-20000000000000000-224-4-2-2220000000000000000000000000000000000000000000000
χ944-4-44-4-4444-2-4-4422-2-24-4-422-240000-2-4422-222-2-200000000000000002-2-4422-2-20000000000000000000000000000000000000000000000
χ954-4-44-4-444-2422-2-4-444-222-4-44-20000-24-422-222-2-200000000000000004-4-22-2-2220000000000000000000000000000000000000000000000
χ964-4-44-4-444-2422-2-4-444-222-4-44-20000-2-4422-222-2-20000000000000000-442-222-2-20000000000000000000000000000000000000000000000
χ974-4-44-4-444-2-222-222-2-2-22222-2-2000014-4-1-11-1-111000000003-3-333-3-33-22-2211-1-10000000000000000000000000000000000000000000000
χ984-4-44-4-444-2-222-222-2-2-22222-2-2000014-4-1-11-1-11100000000-333-3-333-3-22-2211-1-10000000000000000000000000000000000000000000000
χ994-4-44-4-444-2-222-222-2-2-22222-2-200001-44-1-11-1-111000000003-3-33-333-32-22-2-1-1110000000000000000000000000000000000000000000000
χ1004-4-44-4-444-2-222-222-2-2-22222-2-200001-44-1-11-1-11100000000-333-33-3-332-22-2-1-1110000000000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4-4-422-22444-2-22-40000-20022-2-2-222000000000000000000000000000000004-400000000000000-2200000000000000000000
χ1024-4-4-444-444-2-4-4-422-22444-2-22-40000-20022-2-2-22200000000000000000000000000000000-44000000000000002-200000000000000000000
χ1034-4-4-444-44-24222-4-44-4-2-2-244-420000-20022-2-2-22200000000000000000000000000000000000000000000004-400000000-22000000000000
χ1044-4-4-444-44-24222-4-44-4-2-2-244-420000-20022-2-2-2220000000000000000000000000000000000000000000000-44000000002-2000000000000
χ105888-8-8-8-88-4-4-4-44-4-4-44-44444440000200222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-44-4-444444-44-4-4400002002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-44-4-44-4444-44-44-440000200-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444444-44-4-4-4-4-4440000200-2-2222-2-20000000000000000000000000000000000000000000000000000000000000000000000

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