Finite Group Databasebeta

← Group #11817825

Character table — Group #11817825

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444412121212121212124444246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-111-1-11
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-1111111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1
χ17222222222-1222-1-12-1-122-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-1000002-1-100-1-100000000000
χ18222222222-1222-1-12-1-122-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2001111111100000-211001100000000000
χ19222222222-1222-1-12-1-122-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-2111122-2-21111-1-1-1-11111-2-200002200-1-1-1-1-1-1-1-100000-211001100000000000
χ20222222222-1222-1-12-1-122-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2111122-2-21111-1-1-1-11111220000-2-20011111111000002-1-100-1-100000000000
χ21222222222-1222-1-12-1-122-1-1-12-1-2-222-1-1-1-1-1-1-111112222-2-2-211-1-1-2-22211111111-1-1-1-1220000-2-200-1-1-1-1111100000-2-1-1001100000000000
χ22222222222-1222-1-12-1-122-1-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-211-1-1-2-22211111111-1-1-1-1-2-2000022001111-1-1-1-10000021100-1-100000000000
χ23222222222-1222-1-12-1-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-111-2-2-2-2-1-1-1-111111111-2-20000-2-200-1-1-1-111110000021100-1-100000000000
χ24222222222-1222-1-12-1-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-111-2-2-2-2-1-1-1-11111111122000022001111-1-1-1-100000-2-1-1001100000000000
χ2522222222-12-1-1-122-122-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200220000000000002000-1-100-1-1-1-1-1-100000
χ2622222222-12-1-1-122-122-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200-2-2000000000000-2000110011111100000
χ2722222222-12-1-1-122-122-1-1222-1-122-2-2-1-1-1-1-1-1-122220000-211-2-2-2-2-1-1111111-1-1-1-1111100222200-2-2000000000000-20001100-1-111-1-100000
χ2822222222-12-1-1-122-122-1-1222-1-122-2-2-1-1-1-1-1-1-122220000-211-2-2-2-2-1-1111111-1-1-1-1111100-2-2-2-200220000000000002000-1-10011-1-11100000
χ2922222222-12-1-1-122-122-1-1222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-22211-1-111111111-1-1-1-10022-2-200-2-20000000000002000-1-100-1-1111100000
χ3022222222-12-1-1-122-122-1-1222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-22211-1-111111111-1-1-1-100-2-2220022000000000000-2000110011-1-1-1-100000
χ3122222222-12-1-1-122-122-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-2-21111-1-1-1-1111111110022-2-20022000000000000-20001100-1-1-1-11100000
χ3222222222-12-1-1-122-122-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-2-21111-1-1-1-11111111100-2-22200-2-20000000000002000-1-1001111-1-100000
χ33222-2-2-22-2222-2-222-2-222-2-2-2-222000022-2-2-2-220000000000000000000000000000000002-2002i−2i0000002i2i−2i−2i2i2i−2i−2i000000002-2000000000
χ34222-2-2-22-2222-2-222-2-222-2-2-2-222000022-2-2-2-220000000000000000000000000000000002-200−2i2i000000−2i−2i2i2i−2i−2i2i2i000000002-2000000000
χ35222-2-2-22-2222-2-222-2-222-2-2-2-222000022-2-2-2-22000000000000000000000000000000000-22002i−2i0000002i2i−2i−2i−2i−2i2i2i00000000-22000000000
χ36222-2-2-22-2222-2-222-2-222-2-2-2-222000022-2-2-2-22000000000000000000000000000000000-2200−2i2i000000−2i−2i2i2i2i2i−2i−2i00000000-22000000000
χ3722-2-22-2-22222-2-22-222-2-222-2-2-22002i−2i2-22-2-22-200002i2i−2i−2i000002i−2i002i−2i000000002i2i−2i−2i2-2000000002i2i−2i−2i00000000002-2000000000000000
χ3822-2-22-2-22222-2-22-222-2-222-2-2-22002i−2i2-22-2-22-20000−2i−2i2i2i000002i−2i002i−2i000000002i2i−2i−2i-2200000000−2i−2i2i2i0000000000-22000000000000000
χ3922-2-22-2-22222-2-22-222-2-222-2-2-2200−2i2i2-22-2-22-200002i2i−2i−2i00000−2i2i00−2i2i00000000−2i−2i2i2i-22000000002i2i−2i−2i0000000000-22000000000000000
χ4022-2-22-2-22222-2-22-222-2-222-2-2-2200−2i2i2-22-2-22-20000−2i−2i2i2i00000−2i2i00−2i2i00000000−2i−2i2i2i2-200000000−2i−2i2i2i00000000002-2000000000000000
χ4122-2-22-2-222-12-2-2-112-11-22-111-2-1002i−2i-11-111-1133−3−32i2i−2i−2i000−i3i3−ii002i−2i−i3−i3i3i333−3−3−i−iii2-200000000−i−iii−i3i3−i3i3000000-11003−300000000000
χ4222-2-22-2-222-12-2-2-112-11-22-111-2-1002i−2i-11-111-1133−3−3−2i−2i2i2i000−i3i3−ii002i−2i−i3−i3i3i333−3−3−i−iii-2200000000ii−i−ii3−i3i3−i30000001-100−3300000000000
χ4322-2-22-2-222-12-2-2-112-11-22-111-2-1002i−2i-11-111-11−3−3332i2i−2i−2i000i3−i3−ii002i−2ii3i3−i3−i3−3−333−i−iii2-200000000−i−iiii3−i3i3−i3000000-1100−3300000000000
χ4422-2-22-2-222-12-2-2-112-11-22-111-2-1002i−2i-11-111-11−3−333−2i−2i2i2i000i3−i3−ii002i−2ii3i3−i3−i3−3−333−i−iii-2200000000ii−i−i−i3i3−i3i30000001-1003−300000000000
χ4522-2-22-2-222-12-2-2-112-11-22-111-2-100−2i2i-11-111-1133−3−32i2i−2i−2i000i3−i3i−i00−2i2ii3i3−i3−i333−3−3ii−i−i-2200000000−i−iii−i3i3−i3i30000001-100−3300000000000
χ4622-2-22-2-222-12-2-2-112-11-22-111-2-100−2i2i-11-111-1133−3−3−2i−2i2i2i000i3−i3i−i00−2i2ii3i3−i3−i333−3−3ii−i−i2-200000000ii−i−ii3−i3i3−i3000000-11003−300000000000
χ4722-2-22-2-222-12-2-2-112-11-22-111-2-100−2i2i-11-111-11−3−3332i2i−2i−2i000−i3i3i−i00−2i2i−i3−i3i3i3−3−333ii−i−i-2200000000−i−iiii3−i3i3−i30000001-1003−300000000000
χ4822-2-22-2-222-12-2-2-112-11-22-111-2-100−2i2i-11-111-11−3−333−2i−2i2i2i000−i3i3i−i00−2i2i−i3−i3i3i3−3−333ii−i−i2-200000000ii−i−i−i3i3−i3i3000000-1100−3300000000000
χ492-222-2-2-2222-22-2-22-2-2-22222-2-220000-2222-2-2-200002i−2i2i−2i0000000000000000000000000002i−2i00002i−2i2i−2i00002-22-20000000000002i−2i00000
χ502-222-2-2-2222-22-2-22-2-2-22222-2-220000-2222-2-2-200002i−2i2i−2i000000000000000000000000000−2i2i00002i−2i2i−2i0000-22-22000000000000−2i2i00000
χ512-222-2-2-2222-22-2-22-2-2-22222-2-220000-2222-2-2-20000−2i2i−2i2i0000000000000000000000000002i−2i0000−2i2i−2i2i0000-22-220000000000002i−2i00000
χ522-222-2-2-2222-22-2-22-2-2-22222-2-220000-2222-2-2-20000−2i2i−2i2i000000000000000000000000000−2i2i0000−2i2i−2i2i00002-22-2000000000000−2i2i00000
χ532-22-222-2-222-2-22-2222-22-2-2-22-222i−2i00-22-2-222-22i−2i2i−2i000000000002i−2i0000002i−2i2i−2i00000000000000000000002i−2i−2i2i000000000000002-2000
χ542-22-222-2-222-2-22-2222-22-2-2-22-222i−2i00-22-2-222-22i−2i2i−2i000000000002i−2i0000002i−2i2i−2i0000000000000000000000−2i2i2i−2i00000000000000-22000
χ552-22-222-2-222-2-22-2222-22-2-2-22-22−2i2i00-22-2-222-2−2i2i−2i2i00000000000−2i2i000000−2i2i−2i2i00000000000000000000002i−2i−2i2i00000000000000-22000
χ562-22-222-2-222-2-22-2222-22-2-2-22-22−2i2i00-22-2-222-2−2i2i−2i2i00000000000−2i2i000000−2i2i−2i2i0000000000000000000000−2i2i2i−2i000000000000002-2000
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χ602-2-2-2-222222-2-22-2-2-2-22-222-22220000-2-22-22-220000-222-20000000000000000000000000000000-22-222-2000000000000000000-2200002-20
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4222222-2-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
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χ864-44-444-4-4-2422-2-44-24-4-22-4-442-24i−4i002-222-2-224i−4i4i−4i00000000000−2i2i000000−2i2i−2i2i000000000000000000000000000000000000000000000
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χ924-4-444-44-444-44-4-4-4444-4-4-44-4440000-4-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-44-44-2-44-4224-2-2-4-42-224-20000222-22-2-2−2i32i32i3−2i30000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000
χ944-4-444-44-44-2-44-4224-2-2-4-42-224-20000222-22-2-22i3−2i3−2i32i300000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000
χ954-4-444-44-4-242-22-4-4-24422-44-4-2-20000222-22-2-2000000000−2i32i300000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000
χ964-4-444-44-4-242-22-4-4-24422-44-4-2-20000222-22-2-20000000002i3−2i3000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ974-4-444-44-4-2-22-2222-2-2-2222-22-210000-1-1-11-111−2i32i32i3−2i300000−2i32i300000000i3−i3−i3i3i3−i3−i3i3-333-300000000000000000000000000000000000000000
χ984-4-444-44-4-2-22-2222-2-2-2222-22-210000-1-1-11-111−2i32i32i3−2i3000002i3−2i300000000−i3i3i3−i3i3−i3−i3i33-3-3300000000000000000000000000000000000000000
χ994-4-444-44-4-2-22-2222-2-2-2222-22-210000-1-1-11-1112i3−2i3−2i32i300000−2i32i300000000i3−i3−i3i3−i3i3i3−i33-3-3300000000000000000000000000000000000000000
χ1004-4-444-44-4-2-22-2222-2-2-2222-22-210000-1-1-11-1112i3−2i3−2i32i3000002i3−2i300000000−i3i3i3−i3−i3i3i3−i3-333-300000000000000000000000000000000000000000
χ1014-4-4-4-44444-2-4-4422-42-2-44-22-24-2000022-22-22-200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1024-4-4-4-44444-2-4-4422-42-2-44-22-24-2000022-22-22-20000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1034-4-4-4-4444-2422-2-4-42-442-24-44-2-2000022-22-22-20000000000000000000000000000000000000004-40000000000000000000000-220000000
χ1044-4-4-4-4444-2422-2-4-42-442-24-44-2-2000022-22-22-2000000000000000000000000000000000000000-4400000000000000000000002-20000000
χ105888-8-8-88-8-4-4-444-4-444-4-44444-42000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-4-4-4-4-44444444-4-44200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-44-444-4444-4-4-4-44420000-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8-8888-4-444-44444-44-4-44-4-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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