Finite Group Databasebeta

← Group #11808950

Character table — Group #11808950

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order1222222233666666666666663444444666666612121212121212121212121212121212121212121212121244444444444444444444444412121212121212121212121212121212444444
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-11111
χ91111111111111111111111111-1-111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ17222222222-1222-1-12-1-12-12-1-12-1222222-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000220022222200-1-100-1-1-1-1-1-10000000000
χ18222222222-1222-1-12-1-12-12-1-12-1222222-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200-2-2-2-2-2-20011001111110000000000
χ19222222222-1222-1-12-1-12-12-1-12-122-2-2-2-2-1-1-1-1-1-1-122-1-111-2-211-2-2-1-1-1-111111111000000000000002200-2-2-2-22200-1-100-1-111110000000000
χ20222222222-1222-1-12-1-12-12-1-12-122-2-2-2-2-1-1-1-1-1-1-122-1-111-2-211-2-2-1-1-1-11111111100000000000000-2-2002222-2-200110011-1-1-1-10000000000
χ21222222222-1222-1-12-1-12-12-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-211-1-1-2-211221111-1-1-1-11111000000000000002200-2-222-2-2001100-1-111-1-10000000000
χ22222222222-1222-1-12-1-12-12-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-211-1-1-2-211221111-1-1-1-1111100000000000000-2-20022-2-22200-1-10011-1-1110000000000
χ23222222222-1222-1-12-1-12-12-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2111122-1-1-2-211111111-1-1-1-100000000000000220022-2-2-2-2001100-1-1-1-1110000000000
χ24222222222-1222-1-12-1-12-12-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2111122-1-1-2-211111111-1-1-1-100000000000000-2-200-2-2222200-1-1001111-1-10000000000
χ2522222222-12-1-1-122-122-12-122-1-1222222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222220022000000-1-100-1-1000000-1-1-1-1000000
χ2622222222-12-1-1-122-122-12-122-1-1222222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-200-2-20000001100110000001111000000
χ2722222222-12-1-1-122-122-12-122-1-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-111111111000000002222-2-200-2-2000000110011000000-1-1-1-1000000
χ2822222222-12-1-1-122-122-12-122-1-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-11111111100000000-2-2-2-2220022000000-1-100-1-10000001111000000
χ2922222222-12-1-1-122-122-12-122-1-1-2-222-2-2-1-1-1-1-1-1-111-2-22211-2-2-1-11111-1-1-1-111110000000022-2-22200-2-20000001100-1-1000000-1-111000000
χ3022222222-12-1-1-122-122-12-122-1-1-2-222-2-2-1-1-1-1-1-1-111-2-22211-2-2-1-11111-1-1-1-1111100000000-2-222-2-20022000000-1-1001100000011-1-1000000
χ3122222222-12-1-1-122-122-12-122-1-1-2-2-2-222-1-1-1-1-1-1-111-2-2-2-2-1-1221111111111-1-1-1-10000000022-2-2-2-20022000000-1-10011000000-1-111000000
χ3222222222-12-1-1-122-122-12-122-1-1-2-2-2-222-1-1-1-1-1-1-111-2-2-2-2-1-1221111111111-1-1-1-100000000-2-2222200-2-20000001100-1-100000011-1-1000000
χ33222-2-2-22-2222-2-2-2-222-2-2-2222-220000002-2-2-222-20000000000000000000000002i2i2i2i−2i−2i−2i−2i2i−2i000000002-20000000000002-2002i−2i00000000
χ34222-2-2-22-2222-2-2-2-222-2-2-2222-220000002-2-2-222-20000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i2i00000000-22000000000000-2200−2i2i00000000
χ35222-2-2-22-2222-2-2-2-222-2-2-2222-220000002-2-2-222-2000000000000000000000000−2i−2i−2i−2i2i2i2i2i2i−2i00000000-22000000000000-22002i−2i00000000
χ36222-2-2-22-2222-2-2-2-222-2-2-2222-220000002-2-2-222-2000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i2i000000002-20000000000002-200−2i2i00000000
χ3722-22-2-2-2222-2-2-2-2-222222-2-2-222000000-22-2-22-220000000000000000000000002i2i−2i−2i2i2i−2i−2i002-2000000002i−2i0000000000002i−2i002-2000000
χ3822-22-2-2-2222-2-2-2-2-222222-2-2-222000000-22-2-22-220000000000000000000000002i2i−2i−2i2i2i−2i−2i00-2200000000−2i2i000000000000−2i2i00-22000000
χ3922-22-2-2-2222-2-2-2-2-222222-2-2-222000000-22-2-22-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i002-200000000−2i2i000000000000−2i2i002-2000000
χ4022-22-2-2-2222-2-2-2-2-222222-2-2-222000000-22-2-22-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i00-22000000002i−2i0000000000002i−2i00-22000000
χ4122-2-222-2-222-2222222-2-2-2-2-2-2-222-20000-2-2222-2-22-22-20000000022-2-20000000022-2-2-2-222000000000000000000000000000000002-20000
χ4222-2-222-2-222-2222222-2-2-2-2-2-2-222-20000-2-2222-2-22-22-20000000022-2-200000000-2-22222-2-200000000000000000000000000000000-220000
χ4322-2-222-2-222-2222222-2-2-2-2-2-2-22-220000-2-2222-2-2-22-2200000000-2-2220000000022-2-2-2-22200000000000000000000000000000000-220000
χ4422-2-222-2-222-2222222-2-2-2-2-2-2-22-220000-2-2222-2-2-22-2200000000-2-22200000000-2-22222-2-2000000000000000000000000000000002-20000
χ452-2222-2-2-222-22-22-2-2-22-2-222-222000000-2-22-2-2220000000000000000000000002i−2i2i−2i2i−2i2i−2i00002-2000000002i−2i002i−2i2-20000000000000000
χ462-2222-2-2-222-22-22-2-2-22-2-222-222000000-2-22-2-2220000000000000000000000002i−2i2i−2i2i−2i2i−2i0000-2200000000−2i2i00−2i2i-220000000000000000
χ472-2222-2-2-222-22-22-2-2-22-2-222-222000000-2-22-2-222000000000000000000000000−2i2i−2i2i−2i2i−2i2i00002-200000000−2i2i00−2i2i2-20000000000000000
χ482-2222-2-2-222-22-22-2-2-22-2-222-222000000-2-22-2-222000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000-22000000002i−2i002i−2i-220000000000000000
χ492-22-2-22-2222-2-22-22-2-2-22222-2-22002i−2i00-22-22-22-200002i−2i00002i−2i00002i2i−2i−2i00002-22-2-22-2200000000000000000000000000000000002i−2i00
χ502-22-2-22-2222-2-22-22-2-2-22222-2-22002i−2i00-22-22-22-200002i−2i00002i−2i00002i2i−2i−2i0000-22-222-22-20000000000000000000000000000000000−2i2i00
χ512-22-2-22-2222-2-22-22-2-2-22222-2-2200−2i2i00-22-22-22-20000−2i2i0000−2i2i0000−2i−2i2i2i00002-22-2-22-220000000000000000000000000000000000−2i2i00
χ522-22-2-22-2222-2-22-22-2-2-22222-2-2200−2i2i00-22-22-22-20000−2i2i0000−2i2i0000−2i−2i2i2i0000-22-222-22-200000000000000000000000000000000002i−2i00
χ532-2-22-222-2222-22-22-2-22-2-2-2-222200002i−2i2-2-22-2-220000002i−2i2i−2i00000000002i2i−2i−2i2-2-222-2-220000000000000000000000000000000000002i−2i
χ542-2-22-222-2222-22-22-2-22-2-2-2-222200002i−2i2-2-22-2-220000002i−2i2i−2i00000000002i2i−2i−2i-222-2-222-2000000000000000000000000000000000000−2i2i
χ552-2-22-222-2222-22-22-2-22-2-2-2-22220000−2i2i2-2-22-2-22000000−2i2i−2i2i0000000000−2i−2i2i2i2-2-222-2-22000000000000000000000000000000000000−2i2i
χ562-2-22-222-2222-22-22-2-22-2-2-2-22220000−2i2i2-2-22-2-22000000−2i2i−2i2i0000000000−2i−2i2i2i-222-2-222-20000000000000000000000000000000000002i−2i
χ572-2-2-22-2222222-22-2-2-2-222-2-22-22000000222-2-2-2-20000000000000000000000002i−2i−2i2i−2i2i2i−2i0000002i−2i2-20000002-200002i−2i00000000000000
χ582-2-2-22-2222222-22-2-2-2-222-2-22-22000000222-2-2-2-20000000000000000000000002i−2i−2i2i−2i2i2i−2i000000−2i2i-22000000-220000−2i2i00000000000000
χ592-2-2-22-2222222-22-2-2-2-222-2-22-22000000222-2-2-2-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000002i−2i-22000000-2200002i−2i00000000000000
χ602-2-2-22-2222222-22-2-2-2-222-2-22-22000000222-2-2-2-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000−2i2i2-20000002-20000−2i2i00000000000000
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
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-22222-2-2-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4441111111222222-2-2-2-222-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ65444-4-4-44-44-24-4-4224-22-424-2-2-4-2000000-2222-2-220000000000000000000000000000000000000000004-4000000000000-22000000000000
χ66444-4-4-44-44-24-4-4224-22-424-2-2-4-2000000-2222-2-22000000000000000000000000000000000000000000-440000000000002-2000000000000
χ67444-4-4-44-4-24-222-4-4-24-42-4-2442-2000000-2222-2-22000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000
χ68444-4-4-44-4-24-222-4-4-24-42-4-2442-2000000-2222-2-2200000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000
χ6944-44-4-4-444-2-4-4-4224-2-24-2-4224-20000002-222-22-2000000000000000000000000000000000000000000004i−4i000000000000−2i2i0000000000
χ7044-44-4-4-444-2-4-4-4224-2-24-2-4224-20000002-222-22-200000000000000000000000000000000000000000000−4i4i0000000000002i−2i0000000000
χ7144-44-4-4-44-24222-4-4-244-242-4-4-2-20000002-222-22-200000000000000000000000000000000004-400000000000000000000000000-22000000
χ7244-44-4-4-44-24222-4-4-244-242-4-4-2-20000002-222-22-20000000000000000000000000000000000-44000000000000000000000000002-2000000
χ7344-4-444-4-44-2-444-2-24-22-42-422-4-24-4000022-2-2-2224-4-2200000000-2-222000000000000000000000000000000000000000000000000000000
χ7444-4-444-4-44-2-444-2-24-22-42-422-4-2-44000022-2-2-222-442-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ7544-4-444-4-4-242-2-244-24-42-42-4-42-24-4000022-2-2-222-224-400000000-2-222000000000000000000000000000000000000000000000000000000
χ7644-4-444-4-4-242-2-244-24-42-42-4-42-2-44000022-2-2-2222-2-440000000022-2-2000000000000000000000000000000000000000000000000000000
χ7744-4-444-4-4-2-22-2-2-2-2-2-2222222214-40000-1-1111-1-1-22-220000000011-1-13i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ7844-4-444-4-4-2-22-2-2-2-2-2-2222222214-40000-1-1111-1-1-22-220000000011-1-1−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ7944-4-444-4-4-2-22-2-2-2-2-2-222222221-440000-1-1111-1-12-22-200000000-1-1113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ8044-4-444-4-4-2-22-2-2-2-2-2-222222221-440000-1-1111-1-12-22-200000000-1-111−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ814-4444-4-4-44-2-44-4-22-42-2-424-224-200000022-222-2-200000000000000000000000000000000000000000000004i−4i00−2i2i000000000000000000
χ824-4444-4-4-44-2-44-4-22-42-2-424-224-200000022-222-2-20000000000000000000000000000000000000000000000−4i4i002i−2i000000000000000000
χ834-4444-4-4-4-242-224-42-442-4-24-4-2-200000022-222-2-20000000000000000000000000000000000004-400000000000000-220000000000000000
χ844-4444-4-4-4-242-224-42-442-4-24-4-2-200000022-222-2-2000000000000000000000000000000000000-44000000000000002-20000000000000000
χ854-44-4-44-444-2-4-442-2-4224-24-22-4-2004i−4i002-22-22-220000−2i2i00004i−4i0000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ864-44-4-44-444-2-4-442-2-4224-24-22-4-200−4i4i002-22-22-2200002i−2i0000−4i4i00002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ874-44-4-44-44-2422-2-442-4-4-24-24-42-2004i−4i002-22-22-2200004i−4i0000−2i2i0000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ884-44-4-44-44-2422-2-442-4-4-24-24-42-200−4i4i002-22-22-220000−4i4i00002i−2i00002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ894-44-4-44-44-2-222-22-2222-2-2-2-2221004i−4i00-11-11-11-10000−2i2i0000−2i2i3i−3i3i−3iii−i−i3-3-330000000000000000000000000000000000000000000000
χ904-44-4-44-44-2-222-22-2222-2-2-2-2221004i−4i00-11-11-11-10000−2i2i0000−2i2i−3i3i−3i3iii−i−i-333-30000000000000000000000000000000000000000000000
χ914-44-4-44-44-2-222-22-2222-2-2-2-222100−4i4i00-11-11-11-100002i−2i00002i−2i3i−3i3i−3i−i−iii-333-30000000000000000000000000000000000000000000000
χ924-44-4-44-44-2-222-22-2222-2-2-2-222100−4i4i00-11-11-11-100002i−2i00002i−2i−3i3i−3i3i−i−iii3-3-330000000000000000000000000000000000000000000000
χ934-4-44-444-44-24-442-2-42-2-42-42-24-200004i−4i-222-222-20000004i−4i−2i2i0000000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ944-4-44-444-44-24-442-2-42-2-42-42-24-20000−4i4i-222-222-2000000−4i4i2i−2i00000000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ954-4-44-444-4-24-22-2-442-442-42-44-2-200004i−4i-222-222-2000000−2i2i4i−4i0000000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ964-4-44-444-4-24-22-2-442-442-42-44-2-20000−4i4i-222-222-20000002i−2i−4i4i00000000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ974-4-44-444-4-2-2-22-22-222-22222-2-2100004i−4i1-1-11-1-11000000−2i2i−2i2i003i−3i−3i3i-333-3ii−i−i0000000000000000000000000000000000000000000000
χ984-4-44-444-4-2-2-22-22-222-22222-2-2100004i−4i1-1-11-1-11000000−2i2i−2i2i00−3i3i3i−3i3-3-33ii−i−i0000000000000000000000000000000000000000000000
χ994-4-44-444-4-2-2-22-22-222-22222-2-210000−4i4i1-1-11-1-110000002i−2i2i−2i003i−3i−3i3i3-3-33−i−iii0000000000000000000000000000000000000000000000
χ1004-4-44-444-4-2-2-22-22-222-22222-2-210000−4i4i1-1-11-1-110000002i−2i2i−2i00−3i3i3i−3i-333-3−i−iii0000000000000000000000000000000000000000000000
χ1014-4-4-44-4444-244-4-22-4224-2-42-2-4-2000000-2-2-22222000000000000000000000000000000000000004i−4i00000000000000−2i2i00000000000000
χ1024-4-4-44-4444-244-4-22-4224-2-42-2-4-2000000-2-2-2222200000000000000000000000000000000000000−4i4i000000000000002i−2i00000000000000
χ1034-4-4-44-444-24-2-224-42-4-4-242-442-2000000-2-2-2222200000000000000000000000000000000000000004-4000000-2200000000000000000000
χ1044-4-4-44-444-24-2-224-42-4-4-242-442-2000000-2-2-222220000000000000000000000000000000000000000-440000002-200000000000000000000
χ105888-8-8-88-8-4-4-44444-4-4444-4-4-4420000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-8-88-4-444444-4-4-4-4-4444-42000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-44-4444-444-4-44-42000000-2-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-4-4-44-44444-4-444-442000000222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000

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