Finite Group Databasebeta

← Group #11817827

Character table — Group #11817827

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222444444441212121212121212444444661212121212121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-11
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-11111-1-11
χ91111111111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1
χ101111111111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111
χ111111111111111111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1111
χ121111111111111111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-11111-1
χ17222222222-1222-1-1-12-12-1-12-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200000000000020-1-1-1-1-1-1-1-1000000000
χ18222222222-1222-1-1-12-12-1-12-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2000000000000-2011111111000000000
χ19222222222-1222-1-1-12-12-1-12-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-21122-1-1-2-2111111-1-1-1-1111122-2-20000-2-200000000000020-1-1-1-11111000000000
χ20222222222-1222-1-1-12-12-1-12-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-21122-1-1-2-2111111-1-1-1-11111-2-222000022000000000000-201111-1-1-1-1000000000
χ21222222222-1222-1-1-12-12-1-12-12-1-2-222-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-11111111122-2-2000022000000000000-20-1-11111-1-1000000000
χ22222222222-1222-1-1-12-12-1-12-12-1-2-222-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-111111111-2-2220000-2-20000000000002011-1-1-1-111000000000
χ23222222222-1222-1-1-12-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-122220000-2-2000000000000-20-1-111-1-111000000000
χ24222222222-1222-1-1-12-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-1-2-2-2-20000220000000000002011-1-111-1-1000000000
χ2522222222-12-1-1-1222-12-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200-1-1-1-1-1-1-1-100000200000000-1-1-1-100000
χ2622222222-12-1-1-1222-12-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2001111111100000-200000000111100000
χ2722222222-12-1-1-1222-12-122-12-1-122-2-2-1-1-1-1-1-1-111112222-2-2-2-1-12211-2-21111-1-1-1-11111000022-2-200-1-1-1-1111100000-200000000-1-11100000
χ2822222222-12-1-1-1222-12-122-12-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-12211-2-21111-1-1-1-111110000-2-222001111-1-1-1-10000020000000011-1-100000
χ2922222222-12-1-1-1222-12-122-12-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-22211-2-211-2-2-1-1-1-1111111110000-2-22200-1-1-1-1-1-1-1-100000-200000000111100000
χ3022222222-12-1-1-1222-12-122-12-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-211-2-2-1-1-1-111111111000022-2-2001111111100000200000000-1-1-1-100000
χ3122222222-12-1-1-1222-12-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-2-1-12211111111-1-1-1-10000-2-2-2-200-1-1-1-111110000020000000011-1-100000
χ3222222222-12-1-1-1222-12-122-12-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-2-1-12211111111-1-1-1-100002222001111-1-1-1-100000-200000000-1-11100000
χ33222-2-22-2-22222-22-2-2-2-2-22-222-22000022-2-2-2-2200002i2i−2i−2i00000000000000000000000002-20000002i2i−2i−2i000000000000002-2000000002i−2i0
χ34222-2-22-2-22222-22-2-2-2-2-22-222-22000022-2-2-2-2200002i2i−2i−2i0000000000000000000000000-220000002i2i−2i−2i00000000000000-2200000000−2i2i0
χ35222-2-22-2-22222-22-2-2-2-2-22-222-22000022-2-2-2-220000−2i−2i2i2i00000000000000000000000002-2000000−2i−2i2i2i000000000000002-200000000−2i2i0
χ36222-2-22-2-22222-22-2-2-2-2-22-222-22000022-2-2-2-220000−2i−2i2i2i0000000000000000000000000-22000000−2i−2i2i2i00000000000000-22000000002i−2i0
χ3722-2-22-2-22222-2-2222-2-22-2-2-2-22200002-222-2-2-200000000000000000000000000000002-200002i−2i0000002i2i−2i−2i2i2i−2i−2i002-2000000000000000
χ3822-2-22-2-22222-2-2222-2-22-2-2-2-22200002-222-2-2-200000000000000000000000000000002-20000−2i2i000000−2i−2i2i2i−2i−2i2i2i002-2000000000000000
χ3922-2-22-2-22222-2-2222-2-22-2-2-2-22200002-222-2-2-20000000000000000000000000000000-2200002i−2i0000002i2i−2i−2i−2i−2i2i2i00-22000000000000000
χ4022-2-22-2-22222-2-2222-2-22-2-2-2-22200002-222-2-2-20000000000000000000000000000000-220000−2i2i000000−2i−2i2i2i2i2i−2i−2i00-22000000000000000
χ412-222-2-2-2222-222-22-2-2-2222-2-2-220000-222-22-2-200002-22-200000000000000000000000000000002i−2i2-22-200002i−2i2i−2i000000002i−2i000000000
χ422-222-2-2-2222-222-22-2-2-2222-2-2-220000-222-22-2-200002-22-20000000000000000000000000000000−2i2i2-22-20000−2i2i−2i2i00000000−2i2i000000000
χ432-222-2-2-2222-222-22-2-2-2222-2-2-220000-222-22-2-20000-22-2200000000000000000000000000000002i−2i-22-220000−2i2i−2i2i000000002i−2i000000000
χ442-222-2-2-2222-222-22-2-2-2222-2-2-220000-222-22-2-20000-22-220000000000000000000000000000000−2i2i-22-2200002i−2i2i−2i00000000−2i2i000000000
χ452-22-22-22-222-22-2-2-2222-22-2-2-2222i−2i00-22-22-22-200002i−2i−2i2i0002i−2i2i−2i000000002i2i−2i−2i000000002-200002i−2i−2i2i0000000000000000002-20000000
χ462-22-22-22-222-22-2-2-2222-22-2-2-2222i−2i00-22-22-22-20000−2i2i2i−2i0002i−2i2i−2i000000002i2i−2i−2i00000000-220000−2i2i2i−2i000000000000000000-220000000
χ472-22-22-22-222-22-2-2-2222-22-2-2-222−2i2i00-22-22-22-200002i−2i−2i2i000−2i2i−2i2i00000000−2i−2i2i2i00000000-2200002i−2i−2i2i000000000000000000-220000000
χ482-22-22-22-222-22-2-2-2222-22-2-2-222−2i2i00-22-22-22-20000−2i2i2i−2i000−2i2i−2i2i00000000−2i−2i2i2i000000002-20000−2i2i2i−2i0000000000000000002-20000000
χ492-22-22-22-2-121-11-2-22-1212-21-2-1-12i−2i001-11-11-11−i3−i3i3i32i−2i−2i2i000−ii2i−2i3−300−i3−i3i3i3−i−iii33−3−300002-20000−iii−i3−33−300000000000000-11−i3i300000
χ502-22-22-22-2-121-11-2-22-1212-21-2-1-12i−2i001-11-11-11−i3−i3i3i3−2i2i2i−2i000−ii2i−2i3−300−i3−i3i3i3−i−iii33−3−30000-220000i−i−ii−33−33000000000000001-1i3−i300000
χ512-22-22-22-2-121-11-2-22-1212-21-2-1-12i−2i001-11-11-11i3i3−i3−i32i−2i−2i2i000−ii2i−2i−3300i3i3−i3−i3−i−iii−3−33300002-20000−iii−i−33−3300000000000000-11i3−i300000
χ522-22-22-22-2-121-11-2-22-1212-21-2-1-12i−2i001-11-11-11i3i3−i3−i3−2i2i2i−2i000−ii2i−2i−3300i3i3−i3−i3−i−iii−3−3330000-220000i−i−ii3−33−3000000000000001-1−i3i300000
χ532-22-22-22-2-121-11-2-22-1212-21-2-1-1−2i2i001-11-11-11−i3−i3i3i32i−2i−2i2i000i−i−2i2i−3300−i3−i3i3i3ii−i−i−3−3330000-220000−iii−i3−33−3000000000000001-1i3−i300000
χ542-22-22-22-2-121-11-2-22-1212-21-2-1-1−2i2i001-11-11-11−i3−i3i3i3−2i2i2i−2i000i−i−2i2i−3300−i3−i3i3i3ii−i−i−3−33300002-20000i−i−ii−33−3300000000000000-11−i3i300000
χ552-22-22-22-2-121-11-2-22-1212-21-2-1-1−2i2i001-11-11-11i3i3−i3−i32i−2i−2i2i000i−i−2i2i3−300i3i3−i3−i3ii−i−i33−3−30000-220000−iii−i−33−33000000000000001-1−i3i300000
χ562-22-22-22-2-121-11-2-22-1212-21-2-1-1−2i2i001-11-11-11i3i3−i3−i3−2i2i2i−2i000i−i−2i2i3−300i3i3−i3−i3ii−i−i33−3−300002-20000i−i−ii3−33−300000000000000-11i3−i300000
χ572-2-2-2-222222-2-2-2-22-2222-2-222-22002-2-2-22-2-2222-22-2000002-2000000002-22-2000000000000000000000000002-2-22000000000000002-2000
χ582-2-2-2-222222-2-2-2-22-2222-2-222-22002-2-2-22-2-2222-22-2000002-2000000002-22-200000000000000000000000000-222-200000000000000-22000
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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
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4111111122220000-422-2-2-2-22222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
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χ934-4-4444-4-44-2-4-4422-2-42-42-24-24-20000222-2-22-2000000000000000000000000000000000000000000000000000000000−2i32i30000000000000
χ944-4-4444-4-44-2-4-4422-2-42-42-24-24-20000222-2-22-20000000000000000000000000000000000000000000000000000000002i3−2i30000000000000
χ954-4-4444-4-4-2422-2-4-442-42-44-24-2-20000222-2-22-2000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ964-4-4444-4-4-2422-2-4-442-42-44-24-2-20000222-2-22-20000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ974-4-4-4-44444-2-4-4-42-224-24224-2-4-2004-422-222-2-24-44-400000-2200000000-22-220000000000000000000000000000000000000000000000000
χ984-4-4-4-44444-2-4-4-42-224-24224-2-4-200-4422-222-2-2-44-44000002-2000000002-22-20000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-24222-44-4-24-2-4-4-242-2004-422-222-2-2-22-22000004-400000000-22-220000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-24222-44-4-24-2-4-4-242-200-4422-222-2-22-22-200000-44000000002-22-20000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-22222-22-2-2-222-2-221004-4-1-11-1-111-22-2200000-22000000001-11-13-3-33-333-300000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-22222-22-2-2-222-2-221004-4-1-11-1-111-22-2200000-22000000001-11-1-333-33-3-3300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-22222-22-2-2-222-2-22100-44-1-11-1-1112-22-2000002-200000000-11-113-3-333-3-3300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-22222-22-2-2-222-2-22100-44-1-11-1-1112-22-2000002-200000000-11-11-333-3-333-300000000000000000000000000000000000000000
χ105888-8-88-8-8-4-4-4-44-444444-44-4-442000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-4-444-4-4-444-44444-4200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-44-4-44-4444-4-4-444420000-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8888-8-8-4-444-444-44444-4-4-4-420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000

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