Finite Group Databasebeta

← Group #11808680

Character table — Group #11808680

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order12222222336666666666666634444446666666121212121212121212121212121212121212121212121212444444442244444444444444661212121212121212121212121212444444
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ7111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111
χ8111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111
χ91111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-11111-1-111-1-111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ17222222222-1222-1-1-1222-1-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000002222220000000022-1-1-1-1-1-1-1-100000000000000
χ18222222222-1222-1-1-1222-1-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-200000000-2-21111111100000000000000
χ19222222222-1222-1-1-1222-1-1-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1111122-2-2-2-2-1-1-1-111111111000000002222-2-200000000-2-2-1-1-1-1111100000000000000
χ20222222222-1222-1-1-1222-1-1-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1111122-2-2-2-2-1-1-1-11111111100000000-2-2-2-22200000000221111-1-1-1-100000000000000
χ21222222222-1222-1-1-1222-1-1-1-12-1-2-222-2-2-1-1-1-1-1-1-111-1-111-2-222-2-21111-1-1-1-111110000000022-2-22200000000-2-2-1-111-1-11100000000000000
χ22222222222-1222-1-1-1222-1-1-1-12-1-2-222-2-2-1-1-1-1-1-1-111-1-111-2-222-2-21111-1-1-1-1111100000000-2-222-2-2000000002211-1-111-1-100000000000000
χ23222222222-1222-1-1-1222-1-1-1-12-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-2-2-2-22211111111-1-1-1-10000000022-2-2-2-20000000022-1-11111-1-100000000000000
χ24222222222-1222-1-1-1222-1-1-1-12-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-2-2-2-22211111111-1-1-1-100000000-2-2222200000000-2-211-1-1-1-11100000000000000
χ2522222222-12-1-1-1222-1-1-12222-1-1222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000222222220000000000-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-1-1222-1-1-12222-1-1222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-2-2-2-2-2000000000011111111000000
χ2722222222-12-1-1-1222-1-1-12222-1-122-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2-1-11111-1-1-1-1111111110000000000000022-2-2-2-2220000000000-1-1-1-11111000000
χ2822222222-12-1-1-1222-1-1-12222-1-122-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2-1-11111-1-1-1-11111111100000000000000-2-22222-2-200000000001111-1-1-1-1000000
χ2922222222-12-1-1-1222-1-1-12222-1-1-2-222-2-2-1-1-1-1-1-1-1-2-222-2-211-1-1111111-1-1-1-111110000000000000022-2-222-2-2000000000011-1-111-1-1000000
χ3022222222-12-1-1-1222-1-1-12222-1-1-2-222-2-2-1-1-1-1-1-1-1-2-222-2-211-1-1111111-1-1-1-1111100000000000000-2-222-2-2220000000000-1-111-1-111000000
χ3122222222-12-1-1-1222-1-1-12222-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2221111-1-111111111-1-1-1-1000000000000002222-2-2-2-2000000000011-1-1-1-111000000
χ3222222222-12-1-1-1222-1-1-12222-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2221111-1-111111111-1-1-1-100000000000000-2-2-2-222220000000000-1-11111-1-1000000
χ33222-2-2-22-22222-22222-2-2-2-2-2-2-22000000222-2-2-2-20000000000000000000000002222-2-2-2-22-200000000002-2002-20000002-2000000000000
χ34222-2-2-22-22222-22222-2-2-2-2-2-2-22000000222-2-2-2-20000000000000000000000002222-2-2-2-2-220000000000-2200-22000000-22000000000000
χ35222-2-2-22-22222-22222-2-2-2-2-2-2-22000000222-2-2-2-2000000000000000000000000-2-2-2-222222-20000000000-22002-2000000-22000000000000
χ36222-2-2-22-22222-22222-2-2-2-2-2-2-22000000222-2-2-2-2000000000000000000000000-2-2-2-22222-2200000000002-200-220000002-2000000000000
χ3722-222-2-2-2222-2-22-2-2-22-222-2-222002-2002-2-22-2-22002-200002-200000022-2-200002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000002i−2i00
χ3822-222-2-2-2222-2-22-2-2-22-222-2-222002-2002-2-22-2-22002-200002-200000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000−2i2i00
χ3922-222-2-2-2222-2-22-2-2-22-222-2-22200-22002-2-22-2-2200-220000-22000000-2-22200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000−2i2i00
χ4022-222-2-2-2222-2-22-2-2-22-222-2-22200-22002-2-22-2-2200-220000-22000000-2-2220000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000002i−2i00
χ4122-2-2-22-22222-222-2-2-2-22-2-222-220000002-2-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i00002i−2i002-200000000002i−2i0000002-200000000
χ4222-2-2-22-22222-222-2-2-2-22-2-222-220000002-2-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000−2i2i00-220000000000−2i2i000000-2200000000
χ4322-2-2-22-22222-222-2-2-2-22-2-222-220000002-2-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i00002i−2i00-2200000000002i−2i000000-2200000000
χ4422-2-2-22-22222-222-2-2-2-22-2-222-220000002-2-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000−2i2i002-20000000000−2i2i0000002-200000000
χ452-222-22-2-222-22-2-22-2-2-222-22-2222-20000-22-2-22-222-200002-2000022-2-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002i−2i0000
χ462-222-22-2-222-22-2-22-2-2-222-22-2222-20000-22-2-22-222-200002-2000022-2-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−2i2i0000
χ472-222-22-2-222-22-2-22-2-2-222-22-222-220000-22-2-22-22-220000-220000-2-222000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−2i2i0000
χ482-222-22-2-222-22-2-22-2-2-222-22-222-220000-22-2-22-22-220000-220000-2-22200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002i−2i0000
χ492-22-22-2-2222-222-22-2-22-2-22-22-22000000-22-22-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i002i−2i002-200000000002i−2i0000002-20000000000
χ502-22-22-2-2222-222-22-2-22-2-22-22-22000000-22-22-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i00−2i2i00-220000000000−2i2i000000-220000000000
χ512-22-22-2-2222-222-22-2-22-2-22-22-22000000-22-22-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i002i−2i00-2200000000002i−2i000000-220000000000
χ522-22-22-2-2222-222-22-2-22-2-22-22-22000000-22-22-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i00−2i2i002-20000000000−2i2i0000002-20000000000
χ532-2-22-2-22222-2-22-2-222-2-22-2-222200002-2-2-22-2-22200002-200002-20000000022-2-22-2-222-2-220000000000000000000000000000000000002-2
χ542-2-22-2-22222-2-22-2-222-2-22-2-222200002-2-2-22-2-22200002-200002-20000000022-2-2-222-2-222-2000000000000000000000000000000000000-22
χ552-2-22-2-22222-2-22-2-222-2-22-2-22220000-22-2-22-2-2220000-220000-2200000000-2-2222-2-222-2-22000000000000000000000000000000000000-22
χ562-2-22-2-22222-2-22-2-222-2-22-2-22220000-22-2-22-2-2220000-220000-2200000000-2-222-222-2-222-20000000000000000000000000000000000002-2
χ572-2-2-2222-222-2-2-2-2-22222-222-2-22000000-2-2222-2-20000000000000000000000002-2-22-222-200000000002i−2i002i−2i0000002i−2i0000002i−2i000000
χ582-2-2-2222-222-2-2-2-2-22222-222-2-22000000-2-2222-2-20000000000000000000000002-2-22-222-20000000000−2i2i00−2i2i000000−2i2i000000−2i2i000000
χ592-2-2-2222-222-2-2-2-2-22222-222-2-22000000-2-2222-2-2000000000000000000000000-222-22-2-2200000000002i−2i00−2i2i000000−2i2i0000002i−2i000000
χ602-2-2-2222-222-2-2-2-2-22222-222-2-22000000-2-2222-2-2000000000000000000000000-222-22-2-220000000000−2i2i002i−2i0000002i−2i000000−2i2i000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-22222-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-4111111122-2-22222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-44411111112222-2-22222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ65444-4-4-44-44-244-4-2-2-24-4-42222-4-2000000-2-2-22222000000000000000000000000000000004-400000000000000-2200000000000000000000
χ66444-4-4-44-44-244-4-2-2-24-4-42222-4-2000000-2-2-2222200000000000000000000000000000000-44000000000000002-200000000000000000000
χ67444-4-4-44-4-24-2-22444-222-4-4-4-42-2000000-2-2-22222000000000000000000000000000000000000000000004-40000000000-22000000000000
χ68444-4-4-44-4-24-2-22444-222-4-4-4-42-2000000-2-2-2222200000000000000000000000000000000000000000000-4400000000002-2000000000000
χ6944-444-4-4-44-24-4-4-222-44-4-2-2224-2004-400-222-222-200-2200004-4000000-2-22200000000000000000000000000000000000000000000000000
χ7044-444-4-4-44-24-4-4-222-44-4-2-2224-200-4400-222-222-2002-20000-4400000022-2-200000000000000000000000000000000000000000000000000
χ7144-444-4-4-4-24-2224-4-42-2244-4-4-2-2004-400-222-222-2004-40000-22000000-2-22200000000000000000000000000000000000000000000000000
χ7244-444-4-4-4-24-2224-4-42-2244-4-4-2-200-4400-222-222-200-4400002-200000022-2-200000000000000000000000000000000000000000000000000
χ7344-444-4-4-4-2-2-222-2222-22-2-222-21004-4001-1-11-1-1100-220000-22003-33-311-1-13-33-30000000000000000000000000000000000000000000000
χ7444-444-4-4-4-2-2-222-2222-22-2-222-21004-4001-1-11-1-1100-220000-2200-33-3311-1-1-33-330000000000000000000000000000000000000000000000
χ7544-444-4-4-4-2-2-222-2222-22-2-222-2100-44001-1-11-1-11002-200002-2003-33-3-1-111-33-330000000000000000000000000000000000000000000000
χ7644-444-4-4-4-2-2-222-2222-22-2-222-2100-44001-1-11-1-11002-200002-200-33-33-1-1113-33-30000000000000000000000000000000000000000000000
χ7744-4-4-44-444-24-44-222-4-4422-2-2-4-2000000-2222-2-220000000000000000000000000000000000004i−4i00000000000000−2i2i0000000000000000
χ7844-4-4-44-444-24-44-222-4-4422-2-2-4-2000000-2222-2-22000000000000000000000000000000000000−4i4i000000000000002i−2i0000000000000000
χ7944-4-4-44-44-24-22-24-4-422-2-4-4442-2000000-2222-2-2200000000000000000000000000000000000000004-4000000000000000000-2200000000
χ8044-4-4-44-44-24-22-24-4-422-2-4-4442-2000000-2222-2-220000000000000000000000000000000000000000-440000000000000000002-200000000
χ814-444-44-4-44-2-44-42-22-4-44-22-224-24-400002-222-22-2-2200004-40000-2-222000000000000000000000000000000000000000000000000000000
χ824-444-44-4-44-2-44-42-22-4-44-22-224-2-4400002-222-22-22-20000-44000022-2-2000000000000000000000000000000000000000000000000000000
χ834-444-44-4-4-242-22-44-422-24-44-4-2-24-400002-222-22-24-40000-220000-2-222000000000000000000000000000000000000000000000000000000
χ844-444-44-4-4-242-22-44-422-24-44-4-2-2-4400002-222-22-2-4400002-2000022-2-2000000000000000000000000000000000000000000000000000000
χ854-444-44-4-4-2-22-222-2222-2-22-22-214-40000-11-1-11-11-220000-22000011-1-13-33-33-3-330000000000000000000000000000000000000000000000
χ864-444-44-4-4-2-22-222-2222-2-22-22-214-40000-11-1-11-11-220000-22000011-1-1-33-33-333-30000000000000000000000000000000000000000000000
χ874-444-44-4-4-2-22-222-2222-2-22-22-21-440000-11-1-11-112-200002-20000-1-1113-33-3-333-30000000000000000000000000000000000000000000000
χ884-444-44-4-4-2-22-222-2222-2-22-22-21-440000-11-1-11-112-200002-20000-1-111-33-333-3-330000000000000000000000000000000000000000000000
χ894-44-44-4-444-2-4442-22-44-42-22-2-4-20000002-22-22-2200000000000000000000000000000000004i−4i00000000000000−2i2i000000000000000000
χ904-44-44-4-444-2-4442-22-44-42-22-2-4-20000002-22-22-220000000000000000000000000000000000−4i4i000000000000002i−2i000000000000000000
χ914-44-44-4-44-242-2-2-44-42-22-44-442-20000002-22-22-22000000000000000000000000000000000000004-4000000000000000000-220000000000
χ924-44-44-4-44-242-2-2-44-42-22-44-442-20000002-22-22-2200000000000000000000000000000000000000-440000000000000000002-20000000000
χ934-4-44-4-4444-2-4-4422-24-4-4-222-24-200004-422-222-2-20000-2200004-400000000-2-2220000000000000000000000000000000000000000000000
χ944-4-44-4-4444-2-4-4422-24-4-4-222-24-20000-4422-222-2-200002-20000-440000000022-2-20000000000000000000000000000000000000000000000
χ954-4-44-4-444-2422-2-4-44-2224-4-44-2-200004-422-222-2-200004-40000-2200000000-2-2220000000000000000000000000000000000000000000000
χ964-4-44-4-444-2422-2-4-44-2224-4-44-2-20000-4422-222-2-20000-4400002-20000000022-2-20000000000000000000000000000000000000000000000
χ974-4-44-4-444-2-222-222-2-222-222-2-2100004-4-1-11-1-1110000-220000-223-3-333-3-3311-1-10000000000000000000000000000000000000000000000
χ984-4-44-4-444-2-222-222-2-222-222-2-2100004-4-1-11-1-1110000-220000-22-333-3-333-311-1-10000000000000000000000000000000000000000000000
χ994-4-44-4-444-2-222-222-2-222-222-2-210000-44-1-11-1-11100002-200002-23-3-33-333-3-1-1110000000000000000000000000000000000000000000000
χ1004-4-44-4-444-2-222-222-2-222-222-2-210000-44-1-11-1-11100002-200002-2-333-33-3-33-1-1110000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-2-4-4-422-24442-2-22-4-200000022-2-2-22200000000000000000000000000000000000000000000004i−4i000000−2i2i00000000000000
χ1024-4-4-4444-44-2-4-4-422-24442-2-22-4-200000022-2-2-2220000000000000000000000000000000000000000000000−4i4i0000002i−2i00000000000000
χ1034-4-4-4444-4-24222-4-44-2-2-2-444-42-200000022-2-2-2220000000000000000000000000000000000000000004i−4i000000000000000000−2i2i000000
χ1044-4-4-4444-4-24222-4-44-2-2-2-444-42-200000022-2-2-222000000000000000000000000000000000000000000−4i4i0000000000000000002i−2i000000
χ105888-8-8-88-8-4-4-4-44-4-4-4-444444442000000222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-44-4-44444-444-4-4420000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-44-4-44-444-444-44-442000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-444444-4-4-4-44-4-4442000000-2-2222-2-20000000000000000000000000000000000000000000000000000000000000000000000

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