Finite Group Databasebeta

← Group #11819105

Character table — Group #11819105

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121244444412121212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11
χ17222222222-1222-1-12-122-1-1-1-12-12222-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200220000000000000002-1-1-1-1-1-1-1-1000000000
χ18222222222-1222-1-12-122-1-1-1-12-12222-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2000000000000000-211111111000000000
χ19222222222-1222-1-12-122-1-1-1-12-122-2-2-1-1-1-1-1-1-122220000-2-2-211-2-211-1-1-1-1-1-11111111122-2-20022000000000000000-2-1-1-1-11111000000000
χ20222222222-1222-1-12-122-1-1-1-12-122-2-2-1-1-1-1-1-1-122220000-2-2-211-2-211-1-1-1-1-1-111111111-2-22200-2-200000000000000021111-1-1-1-1000000000
χ21222222222-1222-1-12-122-1-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-211111111-1-1-1-11111222200-2-2000000000000000-2-1-111-1-111000000000
χ22222222222-1222-1-12-122-1-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-211111111-1-1-1-11111-2-2-2-20022000000000000000211-1-111-1-1000000000
χ23222222222-1222-1-12-122-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21122-1-11111111111-1-1-1-122-2-200-2-20000000000000002-1-11111-1-1000000000
χ24222222222-1222-1-12-122-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21122-1-11111111111-1-1-1-1-2-2220022000000000000000-211-1-1-1-111000000000
χ2522222222-12-1-1-122-12-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220022-1-1-1-1-1-1-1-100002000000000-1-1-1-100000
χ2622222222-12-1-1-122-12-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2111111110000-2000000000111100000
χ2722222222-12-1-1-122-12-1-12222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-211-2-211-2-222-1-1-1-11111111100002200-2-2-1-1-1-1-1-1-1-10000-2000000000111100000
χ2822222222-12-1-1-122-12-1-12222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-211-2-222-1-1-1-1111111110000-2-200221111111100002000000000-1-1-1-100000
χ2922222222-12-1-1-122-12-1-12222-1-1-2-222-1-1-1-1-1-1-111112222-2-1-12211-2-2-2-21111-1-1-1-111110000-2-20022-1-1-1-111110000-2000000000-1-11100000
χ3022222222-12-1-1-122-12-1-12222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-1-12211-2-2-2-21111-1-1-1-1111100002200-2-21111-1-1-1-10000200000000011-1-100000
χ3122222222-12-1-1-122-12-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-111112222211-2-2-1-122-2-211111111-1-1-1-10000-2-200-2-2-1-1-1-111110000200000000011-1-100000
χ3222222222-12-1-1-122-12-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2211-2-2-1-122-2-211111111-1-1-1-100002200221111-1-1-1-10000-2000000000-1-11100000
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χ352222-2-2-2-22222-222-2-22-22-2-2-2-220000222-2-2-2-20000-2-22200000000000000000000000002-2000000-2-222000000000000002-2000000-22000
χ362222-2-2-2-22222-222-2-22-22-2-2-2-220000222-2-2-2-20000-2-2220000000000000000000000000-22000000-2-22200000000000000-220000002-2000
χ3722-2-22-22-2222-222-2-2-2-2-2-22-2222002i−2i2-2-22-22-200002i−2i2i−2i02i−2i2i−2i00000000002i2i−2i−2i0000000000002-22i−2i2i−2i0000000000000000002-20000000
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χ4022-2-22-22-2222-222-2-2-2-2-2-22-222200−2i2i2-2-22-22-20000−2i2i−2i2i0−2i2i−2i2i0000000000−2i−2i2i2i0000000000002-2−2i2i−2i2i0000000000000000002-20000000
χ4122-2-22-22-2-12-11-12-21-211-22-22-1-1002i−2i-111-11-11−i3−i3i3i32i−2i2i−2i0−ii2i−2i3−30000−i3−i3i3i3−i−iii33−3−3000000002-2−ii−ii33−3−300000000000000-11−i3i300000
χ4222-2-22-22-2-12-11-12-21-211-22-22-1-1002i−2i-111-11-11−i3−i3i3i3−2i2i−2i2i0−ii2i−2i3−30000−i3−i3i3i3−i−iii33−3−300000000-22i−ii−i−3−333000000000000001-1i3−i300000
χ4322-2-22-22-2-12-11-12-21-211-22-22-1-1002i−2i-111-11-11i3i3−i3−i32i−2i2i−2i0−ii2i−2i−330000i3i3−i3−i3−i−iii−3−333000000002-2−ii−ii−3−33300000000000000-11i3−i300000
χ4422-2-22-22-2-12-11-12-21-211-22-22-1-1002i−2i-111-11-11i3i3−i3−i3−2i2i−2i2i0−ii2i−2i−330000i3i3−i3−i3−i−iii−3−33300000000-22i−ii−i33−3−3000000000000001-1−i3i300000
χ4522-2-22-22-2-12-11-12-21-211-22-22-1-100−2i2i-111-11-11−i3−i3i3i32i−2i2i−2i0i−i−2i2i−330000−i3−i3i3i3ii−i−i−3−33300000000-22−ii−ii33−3−3000000000000001-1i3−i300000
χ4622-2-22-22-2-12-11-12-21-211-22-22-1-100−2i2i-111-11-11−i3−i3i3i3−2i2i−2i2i0i−i−2i2i−330000−i3−i3i3i3ii−i−i−3−333000000002-2i−ii−i−3−33300000000000000-11−i3i300000
χ4722-2-22-22-2-12-11-12-21-211-22-22-1-100−2i2i-111-11-11i3i3−i3−i32i−2i2i−2i0i−i−2i2i3−30000i3i3−i3−i3ii−i−i33−3−300000000-22−ii−ii−3−333000000000000001-1−i3i300000
χ4822-2-22-22-2-12-11-12-21-211-22-22-1-100−2i2i-111-11-11i3i3−i3−i3−2i2i−2i2i0i−i−2i2i3−30000i3i3−i3−i3ii−i−i33−3−3000000002-2i−ii−i33−3−300000000000000-11i3−i300000
χ4922-2-2-22-22222-2-22-222-22-2-22-2-2200002-2-2-22-2200002i−2i−2i2i000000000000000000000002i−2i000000002i−2i−2i2i000022-2-2002i−2i000000000000000
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χ5122-2-2-22-22222-2-22-222-22-2-22-2-2200002-2-2-22-220000−2i2i2i−2i000000000000000000000002i−2i00000000−2i2i2i−2i0000-2-222002i−2i000000000000000
χ5222-2-2-22-22222-2-22-222-22-2-22-2-2200002-2-2-22-220000−2i2i2i−2i00000000000000000000000−2i2i00000000−2i2i2i−2i000022-2-200−2i2i000000000000000
χ532-22-22-2-2222-2-22-22222-2-22-2-2-220000-22-22-2-22000000000000000000000000000000000002i−2i2i−2i0000002i−2i2i−2i2-22-200002i−2i0000000000000
χ542-22-22-2-2222-2-22-22222-2-22-2-2-220000-22-22-2-22000000000000000000000000000000000002i−2i−2i2i0000002i−2i2i−2i-22-220000−2i2i0000000000000
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χ944-4-4444-4-44-2-44422-42-44-2-2-22-4-2000022-2-2-2220000000000000000000000000000000000000000000000000000000000000−2323000000000
χ954-4-4444-4-4-242-2-2-4-42-42-2444-42-2000022-2-2-222000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ964-4-4444-4-4-242-2-2-4-42-42-2444-42-2000022-2-2-2220000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ974-4-44-4-4444-2-44-4224-2-4-4-222-24-24-40022-222-2-24-44-40000000000000-22-22-220000000000000000000000000000000000000000000000000
χ984-4-44-4-4444-2-44-4224-2-4-4-222-24-2-440022-222-2-2-44-4400000000000002-22-22-20000000000000000000000000000000000000000000000000
χ994-4-44-4-444-242-22-4-4-24224-4-44-2-24-40022-222-2-2-22-2200000000000004-4-22-220000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-242-22-4-4-24224-4-44-2-2-440022-222-2-22-22-20000000000000-442-22-20000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-22-2222-2-222-222-2-214-400-1-11-1-111-22-220000000000000-221-11-13-3-33-333-300000000000000000000000000000000000000000
χ1024-4-44-4-444-2-22-2222-2-222-222-2-214-400-1-11-1-111-22-220000000000000-221-11-1-333-33-3-3300000000000000000000000000000000000000000
χ1034-4-44-4-444-2-22-2222-2-222-222-2-21-4400-1-11-1-1112-22-200000000000002-2-11-113-3-333-3-3300000000000000000000000000000000000000000
χ1044-4-44-4-444-2-22-2222-2-222-222-2-21-4400-1-11-1-1112-22-200000000000002-2-11-11-333-3-333-300000000000000000000000000000000000000000
χ1058888-8-8-8-8-4-4-4-44-4-444-44-4444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-44-4-44-444-444200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-444-44-4-4-4-444-444420000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8888-8-8-4-44-4-444444-4-4-4-44420000-2-2222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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