Finite Group Databasebeta

← Group #11812864

Character table — Group #11812864

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212122222412121212121212121212121212121212121212121212444444444466661212121244444412121212121212121212121222442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1111111-1
χ17222222222-1222-1-1-12-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-1-12-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-200111111110000-2011110000000000000
χ19222222222-1222-1-1-12-12-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-21122-2-2111111-1-1-1-11111-2-200002200-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-1222-1-1-12-12-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21122-2-2111111-1-1-1-11111220000-2-20011111111000020-1-1-1-10000000000000
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χ22222222222-1222-1-1-12-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-211-2-222-1-111111111-1-1-1-1-2-2000022001111-1-1-1-100002011-1-10000000000000
χ23222222222-1222-1-1-12-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-2-2-2-211-1-1-1-111111111-2-20000-2-200-1-1-1-1111100002011-1-10000000000000
χ24222222222-1222-1-1-12-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-2-2-2-211-1-1-1-11111111122000022001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-1-1222-12-122-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10022220022000000000000020000-1-1-1-1-1-1-1-100000
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χ2722222222-12-1-1-1222-12-122-12-1-122-2-2-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-111110022-2-200-2-20000000000000200001111-1-1-1-100000
χ2822222222-12-1-1-1222-12-122-12-1-122-2-2-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-1111100-2-22200220000000000000-20000-1-1-1-1111100000
χ2922222222-12-1-1-1222-12-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-211-1-12211111111-1-1-1-10022-2-200220000000000000-2000011-1-1-1-11100000
χ3022222222-12-1-1-1222-12-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-211-1-12211111111-1-1-1-100-2-22200-2-2000000000000020000-1-11111-1-100000
χ3122222222-12-1-1-1222-12-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-1221111-2-2-1-1-1-11111111100222200-2-20000000000000-20000-1-111-1-11100000
χ3222222222-12-1-1-1222-12-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-1221111-2-2-1-1-1-11111111100-2-2-2-2002200000000000002000011-1-111-1-100000
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χ402-222-22-2-222-22-22-2-222-22-2-2-22200−2i2i2-2-22-22-20000-22-220000000−2i2i−2i2i00000000−2i−2i2i2i2i−2i00000000-22-2200000000002i−2i000000000000000
χ412-222-22-2-22-1-22-2-1112-1-2-11-212-1002i−2i-111-11-1133−3−32-22-2000−i3i3002i−2i−ii−i3−i3i3i333−3−3−i−iii2i−2i00000000-11-1133−3−3000000−ii−i3i30000000000000
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χ432-222-22-2-22-1-22-2-1112-1-2-11-212-1002i−2i-111-11-11−3−3332-22-2000i3−i3002i−2i−iii3i3−i3−i3−3−333−i−iii2i−2i00000000-11-11−3−333000000−iii3−i30000000000000
χ442-222-22-2-22-1-22-2-1112-1-2-11-212-1002i−2i-111-11-11−3−333-22-22000i3−i3002i−2i−iii3i3−i3−i3−3−333−i−iii−2i2i000000001-11-133−3−3000000i−i−i3i30000000000000
χ452-222-22-2-22-1-22-2-1112-1-2-11-212-100−2i2i-111-11-1133−3−32-22-2000i3−i300−2i2ii−ii3i3−i3−i333−3−3ii−i−i−2i2i00000000-11-1133−3−3000000i−ii3−i30000000000000
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χ974-4-444-44-44-2-4442-22-424-2-2-42-4-200002-22-2-22200000000000000000000000000000000000004i−4i000000−2i2i−2i2i00000000000000000000000
χ984-4-444-44-44-2-4442-22-424-2-2-42-4-200002-22-2-2220000000000000000000000000000000000000−4i4i0000002i−2i2i−2i00000000000000000000000
χ994-4-444-44-4-242-2-2-44-42-4-2442-42-200002-22-2-222000000000000000000000000000000000004-40000000000000000000000-2200000000000
χ1004-4-444-44-4-242-2-2-44-42-4-2442-42-200002-22-2-22200000000000000000000000000000000000-4400000000000000000000002-200000000000
χ1014-4-4-444-444-2-4-44-222-42-42-24-24-20000-2222-22-200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1024-4-4-444-444-2-4-44-222-42-42-24-24-20000-2222-22-20000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1034-4-4-444-44-2422-24-4-42-42-44-24-2-20000-2222-22-20000000000000000000000000000000004-40000000000000000000000000000-220000000
χ1044-4-4-444-44-2422-24-4-42-42-44-24-2-20000-2222-22-2000000000000000000000000000000000-4400000000000000000000000000002-20000000
χ10588-88-8-8-88-4-4-4-4444-4444-44-4-4420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-444-4-4-444-44444-420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-88-8-4-44-4-44-4444-4-4-444420000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444-4-4444444-4-4-4-4200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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