Finite Group Databasebeta

← Group #11819091

Character table — Group #11819091

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222444444441212121212121212444444661212121212121212121244444
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-11111-1
χ17222222222-1222-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200220000000000000002-1-1-1-1-1-1-1-1000000000
χ18222222222-1222-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2000000000000000-211111111000000000
χ19222222222-1222-1-1-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-11111111122-2-200-2-20000000000000002-1-1-1-11111000000000
χ20222222222-1222-1-1-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-111111111-2-2220022000000000000000-21111-1-1-1-1000000000
χ21222222222-1222-1-1-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-1-1-2-2111111-1-1-1-11111222200-2-2000000000000000-2-1-111-1-111000000000
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χ23222222222-1222-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-122-2-20022000000000000000-2-1-11111-1-1000000000
χ24222222222-1222-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-1-2-22200-2-2000000000000000211-1-1-1-111000000000
χ2522222222-12-1-1-1222-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000220022-1-1-1-1-1-1-1-100002000000000-1-1-1-100000
χ2622222222-12-1-1-1222-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2111111110000-2000000000111100000
χ2722222222-12-1-1-1222-1-1-12222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-211-2-2-1-1-1-11111111100002200-2-2-1-1-1-1-1-1-1-10000-2000000000111100000
χ2822222222-12-1-1-1222-1-1-12222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-211-2-2-1-1-1-1111111110000-2-200221111111100002000000000-1-1-1-100000
χ2922222222-12-1-1-1222-1-1-12222-1-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-12211-2-21111-1-1-1-111110000-2-20022-1-1-1-111110000-2000000000-1-11100000
χ3022222222-12-1-1-1222-1-1-12222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-12211-2-21111-1-1-1-1111100002200-2-21111-1-1-1-10000200000000011-1-100000
χ3122222222-12-1-1-1222-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-2-1-12211111111-1-1-1-10000-2-200-2-2-1-1-1-111110000200000000011-1-100000
χ3222222222-12-1-1-1222-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-2-1-12211111111-1-1-1-100002200221111-1-1-1-10000-2000000000-1-11100000
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χ36222-2-22-2-22222-22222-2-2-2-2-2-2-220000222-2-2-2-20000-2-22200000000000000000000000-2200000000-2-2220000000000-2200000000002-2000
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χ4122-22-2-2-22-12-11-12-2-21-1122-2-21-1002-2-111-111-1−i3−i3i3i32i−2i2i−2i000-112-2−i3i300−i3−i3i3i3-1-111−i3−i3i3i3000000002i−2i−ii−ii33−3−300000000000000−ii3−300000
χ4222-22-2-2-22-12-11-12-2-21-1122-2-21-1002-2-111-111-1−i3−i3i3i3−2i2i−2i2i000-112-2−i3i300−i3−i3i3i3-1-111−i3−i3i3i300000000−2i2ii−ii−i−3−33300000000000000i−i−3300000
χ4322-22-2-2-22-12-11-12-2-21-1122-2-21-1002-2-111-111-1i3i3−i3−i32i−2i2i−2i000-112-2i3−i300i3i3−i3−i3-1-111i3i3−i3−i3000000002i−2i−ii−ii−3−33300000000000000−ii−3300000
χ4422-22-2-2-22-12-11-12-2-21-1122-2-21-1002-2-111-111-1i3i3−i3−i3−2i2i−2i2i000-112-2i3−i300i3i3−i3−i3-1-111i3i3−i3−i300000000−2i2ii−ii−i33−3−300000000000000i−i3−300000
χ4522-22-2-2-22-12-11-12-2-21-1122-2-21-100-22-111-111-1−i3−i3i3i32i−2i2i−2i0001-1-22i3−i300−i3−i3i3i311-1-1i3i3−i3−i300000000−2i2i−ii−ii33−3−300000000000000i−i−3300000
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χ4722-22-2-2-22-12-11-12-2-21-1122-2-21-100-22-111-111-1i3i3−i3−i32i−2i2i−2i0001-1-22−i3i300i3i3−i3−i311-1-1−i3−i3i3i300000000−2i2i−ii−ii−3−33300000000000000i−i3−300000
χ4822-22-2-2-22-12-11-12-2-21-1122-2-21-100-22-111-111-1i3i3−i3−i3−2i2i−2i2i0001-1-22−i3i300i3i3−i3−i311-1-1−i3−i3i3i3000000002i−2ii−ii−i33−3−300000000000000−ii−3300000
χ4922-2-22-22-2222-2-22-2-2-2-22-2-2222200002-2-2-222-200002i−2i−2i2i00000000000000000000000002i−2i0000002i−2i−2i2i000022-2-20000002i−2i00000000000
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χ5122-2-22-22-2222-2-22-2-2-2-22-2-2222200002-2-2-222-20000−2i2i2i−2i00000000000000000000000002i−2i000000−2i2i2i−2i0000-2-2220000002i−2i00000000000
χ5222-2-22-22-2222-2-22-2-2-2-22-2-2222200002-2-2-222-20000−2i2i2i−2i0000000000000000000000000−2i2i000000−2i2i2i−2i000022-2-2000000−2i2i00000000000
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χ944-4-4444-4-44-2-44422-2-4-44-222-2-4-2000022-2-22-22000000000000000000000000000000000000000000000000000000000−23230000000000000
χ954-4-4444-4-4-242-2-2-4-4422-24-4-442-2000022-2-22-22000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ964-4-4444-4-4-242-2-2-4-4422-24-4-442-2000022-2-22-220000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ974-4-4-4-44444-2-44-422-2-44-42-2-224-24-40022-22-22-24-44-400000-2200000000-22-220000000000000000000000000000000000000000000000000
χ984-4-4-4-44444-2-44-422-2-44-42-2-224-2-440022-22-22-2-44-44000002-2000000002-22-20000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-242-22-4-442-22-444-4-2-24-40022-22-22-2-22-22000004-400000000-22-220000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-242-22-4-442-22-444-4-2-2-440022-22-22-22-22-200000-44000000002-22-20000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-22-2222-22-222-2-22-214-400-1-11-11-11-22-2200000-22000000001-11-13-3-33-333-300000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-22-2222-22-222-2-22-214-400-1-11-11-11-22-2200000-22000000001-11-1-333-33-3-3300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-22-2222-22-222-2-22-21-4400-1-11-11-112-22-2000002-200000000-11-113-3-333-3-3300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-22-2222-22-222-2-22-21-4400-1-11-11-112-22-2000002-200000000-11-11-333-3-333-300000000000000000000000000000000000000000
χ105888-8-88-8-8-4-4-4-44-4-4-4-4444444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-444-44444-444-4-4-4200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-444-44-44-444-44-44-420000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8888-8-8-4-44-4-444-444-4-444-4420000-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000

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