Finite Group Databasebeta

← Group #11817800

Character table — Group #11817800

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444412121212121212124444246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1111
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-1111
χ91111111111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1
χ101111111111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11-1-1-111-1-111-1-1-1-111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-11111-1
χ17222222222-1222-1-1-12-12-12-1-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000222200000000000020-1-1-1-1-1-1-1-1000000000
χ18222222222-1222-1-1-12-12-12-1-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-2000000000000-2011111111000000000
χ19222222222-1222-1-1-12-12-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-21122-1-1-2-2111111-1-1-1-11111220000-2-2-2-200000000000020-1-1-1-11111000000000
χ20222222222-1222-1-1-12-12-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-21122-1-1-2-2111111-1-1-1-11111-2-200002222000000000000-201111-1-1-1-1000000000
χ21222222222-1222-1-1-12-12-12-1-12-1-2-222-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-11111111122000022-2-2000000000000-20-1-111-1-111000000000
χ22222222222-1222-1-1-12-12-12-1-12-1-2-222-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-111111111-2-20000-2-2220000000000002011-1-111-1-1000000000
χ23222222222-1222-1-1-12-12-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-1220000-2-222000000000000-20-1-11111-1-1000000000
χ24222222222-1222-1-1-12-12-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-1-2-2000022-2-20000000000002011-1-1-1-111000000000
χ2522222222-12-1-1-1222-12-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100000200000000-1-1-1-100000
χ2622222222-12-1-1-1222-12-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111111100000-200000000111100000
χ2722222222-12-1-1-1222-12-12-122-1-122-2-2-1-1-1-1-1-1-111112222-2-2-2-1-12211-2-21111-1-1-1-111110022-2-20000-1-1-1-1111100000-200000000-1-11100000
χ2822222222-12-1-1-1222-12-12-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-12211-2-21111-1-1-1-1111100-2-22200001111-1-1-1-10000020000000011-1-100000
χ2922222222-12-1-1-1222-12-12-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-22211-2-211-2-2-1-1-1-11111111100-2-2220000-1-1-1-1-1-1-1-100000-200000000111100000
χ3022222222-12-1-1-1222-12-12-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-211-2-2-1-1-1-1111111110022-2-200001111111100000200000000-1-1-1-100000
χ3122222222-12-1-1-1222-12-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-2-1-12211111111-1-1-1-100-2-2-2-20000-1-1-1-111110000020000000011-1-100000
χ3222222222-12-1-1-1222-12-12-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-2-1-12211111111-1-1-1-100222200001111-1-1-1-100000-200000000-1-11100000
χ33222-2-2-2-22222-2-22-2-2-2-22222-2-22000022-2-2-2-2200000000000000000000000000000002-2002i−2i000000002i2i−2i−2i2i2i−2i−2i002-2000000000000000
χ34222-2-2-2-22222-2-22-2-2-2-22222-2-22000022-2-2-2-2200000000000000000000000000000002-200−2i2i00000000−2i−2i2i2i−2i−2i2i2i002-2000000000000000
χ35222-2-2-2-22222-2-22-2-2-2-22222-2-22000022-2-2-2-220000000000000000000000000000000-22002i−2i000000002i2i−2i−2i−2i−2i2i2i00-22000000000000000
χ36222-2-2-2-22222-2-22-2-2-2-22222-2-22000022-2-2-2-220000000000000000000000000000000-2200−2i2i00000000−2i−2i2i2i2i2i−2i−2i00-22000000000000000
χ3722-22-2-22-22222-222-2-2-2-2-2-2-222200002-222-2-2-200002i2i−2i−2i00000000000000000000000000000002i−2i2i2i−2i−2i00000000000000002i−2i00002-2000
χ3822-22-2-22-22222-222-2-2-2-2-2-2-222200002-222-2-2-200002i2i−2i−2i0000000000000000000000000000000−2i2i2i2i−2i−2i0000000000000000−2i2i0000-22000
χ3922-22-2-22-22222-222-2-2-2-2-2-2-222200002-222-2-2-20000−2i−2i2i2i00000000000000000000000000000002i−2i−2i−2i2i2i00000000000000002i−2i0000-22000
χ4022-22-2-22-22222-222-2-2-2-2-2-2-222200002-222-2-2-20000−2i−2i2i2i0000000000000000000000000000000−2i2i−2i−2i2i2i0000000000000000−2i2i00002-2000
χ412-222-22-2-222-22-2-22-22222-2-2-2-222-200-2-22-2-22200002i−2i2i−2i0002-22-20000000022-2-20000002i−2i0000002i−2i2i−2i0000000000000000002i−2i0000000
χ422-222-22-2-222-22-2-22-22222-2-2-2-222-200-2-22-2-2220000−2i2i−2i2i0002-22-20000000022-2-2000000−2i2i000000−2i2i−2i2i000000000000000000−2i2i0000000
χ432-222-22-2-222-22-2-22-22222-2-2-2-22-2200-2-22-2-22200002i−2i2i−2i000-22-2200000000-2-222000000−2i2i0000002i−2i2i−2i000000000000000000−2i2i0000000
χ442-222-22-2-222-22-2-22-22222-2-2-2-22-2200-2-22-2-2220000−2i2i−2i2i000-22-2200000000-2-2220000002i−2i000000−2i2i−2i2i0000000000000000002i−2i0000000
χ452-222-22-2-2-121-11-22-2-12-121-2-21-12-20011-111-1-1−i3−i3i3i32i−2i2i−2i000-112-2−i3i300−i3−i3i3i3-1-111−i3−i3i3i3002i−2i000000−ii−ii3−33−300000000000000−ii3−300000
χ462-222-22-2-2-121-11-22-2-12-121-2-21-12-20011-111-1-1−i3−i3i3i3−2i2i−2i2i000-112-2−i3i300−i3−i3i3i3-1-111−i3−i3i3i300−2i2i000000i−ii−i−33−3300000000000000i−i−3300000
χ472-222-22-2-2-121-11-22-2-12-121-2-21-12-20011-111-1-1i3i3−i3−i32i−2i2i−2i000-112-2i3−i300i3i3−i3−i3-1-111i3i3−i3−i3002i−2i000000−ii−ii−33−3300000000000000−ii−3300000
χ482-222-22-2-2-121-11-22-2-12-121-2-21-12-20011-111-1-1i3i3−i3−i3−2i2i−2i2i000-112-2i3−i300i3i3−i3−i3-1-111i3i3−i3−i300−2i2i000000i−ii−i3−33−300000000000000i−i3−300000
χ492-222-22-2-2-121-11-22-2-12-121-2-21-1-220011-111-1-1−i3−i3i3i32i−2i2i−2i0001-1-22i3−i300−i3−i3i3i311-1-1i3i3−i3−i300−2i2i000000−ii−ii3−33−300000000000000i−i−3300000
χ502-222-22-2-2-121-11-22-2-12-121-2-21-1-220011-111-1-1−i3−i3i3i3−2i2i−2i2i0001-1-22i3−i300−i3−i3i3i311-1-1i3i3−i3−i3002i−2i000000i−ii−i−33−3300000000000000−ii3−300000
χ512-222-22-2-2-121-11-22-2-12-121-2-21-1-220011-111-1-1i3i3−i3−i32i−2i2i−2i0001-1-22−i3i300i3i3−i3−i311-1-1−i3−i3i3i300−2i2i000000−ii−ii−33−3300000000000000i−i3−300000
χ522-222-22-2-2-121-11-22-2-12-121-2-21-1-220011-111-1-1i3i3−i3−i3−2i2i−2i2i0001-1-22−i3i300i3i3−i3−i311-1-1−i3−i3i3i3002i−2i000000i−ii−i3−33−300000000000000−ii−3300000
χ532-2-222-2-2222-222-222-2-2-2-222-2-220000-222-22-2-200002-2-22000000000000000000000000000002i−2i002-2-2200002i−2i2i−2i0000002i−2i00000000000
χ542-2-222-2-2222-222-222-2-2-2-222-2-220000-222-22-2-200002-2-2200000000000000000000000000000−2i2i002-2-220000−2i2i−2i2i000000−2i2i00000000000
χ552-2-222-2-2222-222-222-2-2-2-222-2-220000-222-22-2-20000-222-2000000000000000000000000000002i−2i00-222-20000−2i2i−2i2i0000002i−2i00000000000
χ562-2-222-2-2222-222-222-2-2-2-222-2-220000-222-22-2-20000-222-200000000000000000000000000000−2i2i00-222-200002i−2i2i−2i000000−2i2i00000000000
χ572-2-2-2-222222-2-2-2-2-2-222-2-222222002-2-22-22-22-22-22-2000002-2000000002-22-2000000000000000000000000002-2-2200000000000000002-20
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χ944-4-444-4-444-2-4442-2-2-42-424-22-4-200002-2-22-2220000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000000
χ954-4-444-4-44-242-2-2-4442-42-4-24-42-200002-2-22-22200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ964-4-444-4-44-242-2-2-4442-42-4-24-42-200002-2-22-2220000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ974-4-4-4-44444-2-4-4-42224-2-424-2-24-2004-42-22-22-224-44-400000-2200000000-22-220000000000000000000000000000000000000000000000000
χ984-4-4-4-44444-2-4-4-42224-2-424-2-24-200-442-22-22-22-44-44000002-2000000002-22-20000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-24222-4-4-4-242-4-244-2-2004-42-22-22-22-22-22000004-400000000-22-220000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-24222-4-4-4-242-4-244-2-200-442-22-22-222-22-200000-44000000002-22-20000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-2222222-2-222-2-2-2-21004-4-11-11-11-1-22-2200000-22000000001-11-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-2222222-2-222-2-2-2-21004-4-11-11-11-1-22-2200000-22000000001-11-1−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-2222222-2-222-2-2-2-2100-44-11-11-11-12-22-2000002-200000000-11-113i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-2222222-2-222-2-2-2-2100-44-11-11-11-12-22-2000002-200000000-11-11−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000
χ105888-8-8-8-88-4-4-444-44444-4-4-4-4442000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-88-8-4-4-4-44-4-44444444-4-4200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-444-444-444-4-444-4-420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-44-4-44-4-44444-4-44420000-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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