Finite Group Databasebeta

← Group #11817772

Character table — Group #11817772

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444244466121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-11111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-111-1-1-1-1
χ17222222222-1222222-1-1-1-122-122-12-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-10000-1-1-1-100002002-1-10000-1-1000000
χ18222222222-1222222-1-1-1-122-122-12-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200001111000011110000-200-211000011000000
χ19222222222-1222222-1-1-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-1-1-1-11111000022220000-1-1-1-10000-1-1-1-10000-200-211000011000000
χ20222222222-1222222-1-1-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-1-1-1-111110000-2-2-2-2000011110000111100002002-1-10000-1-1000000
χ21222222222-1-2-2-2-222-1-1-1-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-222-1-11111111111-1-1-1-1000022-2-20000-1-1-1-1000011110000200-2-1-1000011000000
χ22222222222-1-2-2-2-222-1-1-1-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-222-1-11111111111-1-1-1-10000-2-222000011110000-1-1-1-10000-2002110000-1-1000000
χ23222222222-1-2-2-2-222-1-1-1-122-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2111122-2-211-1-1-1-1-1-111111111000022-2-20000-1-1-1-1000011110000-2002110000-1-1000000
χ24222222222-1-2-2-2-222-1-1-1-122-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2111122-2-211-1-1-1-1-1-1111111110000-2-222000011110000-1-1-1-10000200-2-1-1000011000000
χ2522222222-122222-1-12222-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-1-1-100000000022000-1-1-1-100000000
χ2622222222-122222-1-12222-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111100001111000000000-2-2000111100000000
χ2722222222-122222-1-12222-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-21111-1-1-1-1111122220000-1-1-1-10000-1-1-1-1000000000-2-2000111100000000
χ2822222222-122222-1-12222-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-21111-1-1-1-11111-2-2-2-2000011110000111100000000022000-1-1-1-100000000
χ2922222222-12-2-2-2-2-1-12222-1-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-211-1-122-2-211111111-1-1-1-122-2-20000-1-1-1-1000011110000000002-2000-1-11100000000
χ3022222222-12-2-2-2-2-1-12222-1-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-211-1-122-2-211111111-1-1-1-1-2-222000011110000-1-1-1-1000000000-2200011-1-100000000
χ3122222222-12-2-2-2-2-1-12222-1-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-1-111-2-222-1-1-1-11111111122-2-20000-1-1-1-100001111000000000-2200011-1-100000000
χ3222222222-12-2-2-2-2-1-12222-1-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-1-111-2-222-1-1-1-111111111-2-222000011110000-1-1-1-10000000002-2000-1-11100000000
χ3322-22-2-2-222200002222-2-2-2-2-22-2-2-2220000222-2-2-2-200000000000000000000000000002-2002i−2i0022-2-22i2i−2i−2i000000002i2i−2i−2i000000000000000000
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χ3822-2-2-222-2222i2i−2i−2i2-22-22-22-2-2-2-222-2200002-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i00000000000000000000000000000000000000000000-2200−2i2i
χ3922-2-2-222-222−2i−2i2i2i2-22-22-22-2-2-2-222-2200002-2-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i000000000000000000000000000000000000000000002-200−2i2i
χ4022-2-2-222-222−2i−2i2i2i2-22-22-22-2-2-2-222-2200002-2-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i00000000000000000000000000000000000000000000-22002i−2i
χ412-222-22-2-2220000-2-2-222-2-2222-2-22-220000-22-22-2-220000000000000000000000000000002-2002i−2i0000000022-2-22i2i−2i−2i2i−2i2i−2i000000000000000000
χ422-222-22-2-2220000-2-2-222-2-2222-2-22-220000-22-22-2-220000000000000000000000000000002-200−2i2i0000000022-2-2−2i−2i2i2i−2i2i−2i2i000000000000000000
χ432-222-22-2-2220000-2-2-222-2-2222-2-22-220000-22-22-2-22000000000000000000000000000000-22002i−2i00000000-2-2222i2i−2i−2i−2i2i−2i2i000000000000000000
χ442-222-22-2-2220000-2-2-222-2-2222-2-22-220000-22-22-2-22000000000000000000000000000000-2200−2i2i00000000-2-222−2i−2i2i2i2i−2i2i−2i000000000000000000
χ452-22-2-2-222222-22-2-22-2-2-2-2222-2-22-2222-22-2-2-22-2-2222-22-22-22-22-22-22-22-222-2-22-22-222-2-20000000000000000000000000000000000000000000000
χ462-22-2-2-222222-22-2-22-2-2-2-2222-2-22-222-22-22-2-22-2-2222-22-22-22-2-22-22-22-22-2-2222-22-2-2-2220000000000000000000000000000000000000000000000
χ472-22-2-2-22222-22-22-22-2-2-2-2222-2-22-2222-2-22-2-22-2-222-22-22-22-22-222-22-2-22-2-222-22-2222-2-20000000000000000000000000000000000000000000000
χ482-22-2-2-22222-22-22-22-2-2-2-2222-2-22-222-222-2-2-22-2-222-22-22-22-222-2-22-222-222-2-2-22-22-2-2220000000000000000000000000000000000000000000000
χ492-22-2-2-2222-12-22-2-22111122-1-2-2-1-2-1-12-22-211-111-1-12-22-2-11-112-22-2-11-11-1-111-11-11-1-111000000000000−i3i3−i3i30000−i3i3−i3i300000000−i3i30000−i3i3000000
χ502-22-2-2-2222-12-22-2-22111122-1-2-2-1-2-1-12-22-211-111-1-12-22-2-11-112-22-2-11-11-1-111-11-11-1-111000000000000i3−i3i3−i30000i3−i3i3−i300000000i3−i30000i3−i3000000
χ512-22-2-2-2222-12-22-2-22111122-1-2-2-1-2-1-1-22-2211-111-1-12-22-2-11-11-22-221-11-111-1-1-11-1111-1-1000000000000−i3i3−i3i30000−i3i3−i3i300000000i3−i30000i3−i3000000
χ522-22-2-2-2222-12-22-2-22111122-1-2-2-1-2-1-1-22-2211-111-1-12-22-2-11-11-22-221-11-111-1-1-11-1111-1-1000000000000i3−i3i3−i30000i3−i3i3−i300000000−i3i30000−i3i3000000
χ532-22-2-2-2222-1-22-22-22111122-1-2-2-1-2-1-12-2-2211-111-1-1-22-221-11-1-222-2-111-111-1-11-11-1-1-111000000000000−i3i3−i3i30000i3−i3i3−i300000000−i3i30000i3−i3000000
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χ582-22-2-2-222-122-22-21-1-2-2-2-2-1-1211212-12-22-211-111-1-1-11-112-22-2-11-112-22-2-1-111-11-11-1-11100000000−33−330000−33−3300000000000000−33−3300000000
χ592-22-2-2-222-122-22-21-1-2-2-2-2-1-1211212-1-22-2211-111-1-1-11-112-22-21-11-1-22-2211-1-1-11-1111-1-1000000003−33−300003−33−300000000000000−33−3300000000
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χ612-22-2-2-222-12-22-221-1-2-2-2-2-1-1211212-12-2-2211-111-1-11-11-1-22-221-1-112-2-2211-1-11-11-1-1-111000000003−33−30000−33−33000000000000003−3−3300000000
χ622-22-2-2-222-12-22-221-1-2-2-2-2-1-1211212-12-2-2211-111-1-11-11-1-22-221-1-112-2-2211-1-11-11-1-1-11100000000−33−3300003−33−300000000000000−333−300000000
χ632-22-2-2-222-12-22-221-1-2-2-2-2-1-1211212-1-222-211-111-1-11-11-1-22-22-111-1-222-2-1-1111-11-111-1-1000000003−33−30000−33−3300000000000000−333−300000000
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χ8544-4-4-444-4-24−4i−4i4i4i-224-44-4-22-4224-2-4-20000-222-22-222i2i−2i−2i−4i−4i4i4i0000000000002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ8644-4-4-444-4-2-24i4i−4i−4i-22-22-22-22222-2-22100001-1-11-11-1−2i−2i2i2i−2i−2i2i2i000000003-33-3ii−i−i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ8744-4-4-444-4-2-24i4i−4i−4i-22-22-22-22222-2-22100001-1-11-11-1−2i−2i2i2i−2i−2i2i2i00000000-33-33ii−i−i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ8844-4-4-444-4-2-2−4i−4i4i4i-22-22-22-22222-2-22100001-1-11-11-12i2i−2i−2i2i2i−2i−2i000000003-33-3−i−iii−3i3i−3i3i0000000000000000000000000000000000000000000000
χ8944-4-4-444-4-2-2−4i−4i4i4i-22-22-22-22222-2-22100001-1-11-11-12i2i−2i−2i2i2i−2i−2i00000000-33-33−i−iii3i−3i3i−3i0000000000000000000000000000000000000000000000
χ904-444-44-4-44-20000-4-42-2-22-44-24-4242-200002-22-222-200000000000000000000000000000000004i−4i000000000000−2i−2i2i2i0000000000000000000000
χ914-444-44-4-44-20000-4-42-2-22-44-24-4242-200002-22-222-20000000000000000000000000000000000−4i4i0000000000002i2i−2i−2i0000000000000000000000
χ924-444-44-4-4-24000022-444-42-24-22-4-2-4-200002-22-222-20000000000000000000000000000004-4000000000000-2-22200000000000000000000000000
χ934-444-44-4-4-24000022-444-42-24-22-4-2-4-200002-22-222-2000000000000000000000000000000-4400000000000022-2-200000000000000000000000000
χ944-44-4-4-444-2-24-44-42-22222-2-2-222-22-214-44-4-1-11-1-111-22-22-22-22-22-22-22-2211-1-11-11-111-1-10000000000000000000000000000000000000000000000
χ954-44-4-4-444-2-24-44-42-22222-2-2-222-22-21-44-44-1-11-1-111-22-22-22-222-22-22-22-2-1-1111-11-1-1-1110000000000000000000000000000000000000000000000
χ964-44-4-4-444-2-2-44-442-22222-2-2-222-22-214-4-44-1-11-1-1112-22-22-22-22-2-22-222-2-1-111-11-1111-1-10000000000000000000000000000000000000000000000
χ974-44-4-4-444-2-2-44-442-22222-2-2-222-22-21-444-4-1-11-1-1112-22-22-22-2-222-22-2-2211-1-1-11-11-1-1110000000000000000000000000000000000000000000000
χ984-4-444-44-44-24i−4i−4i4i-4-42-22-24-4244-2-42-200002-222-2-224i−4i−4i4i−2i2i2i−2i000000000000−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ994-4-444-44-44-2−4i4i4i−4i-4-42-22-24-4244-2-42-200002-222-2-22−4i4i4i−4i2i−2i−2i2i0000000000002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ1004-4-444-44-4-244i−4i−4i4i22-44-44-22-4-2-242-4-200002-222-2-22−2i2i2i−2i4i−4i−4i4i000000000000−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ1014-4-444-44-4-24−4i4i4i−4i22-44-44-22-4-2-242-4-200002-222-2-222i−2i−2i2i−4i4i4i−4i0000000000002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-2-24i−4i−4i4i222-22-2-222-2-2-22210000-11-1-111-1−2i2i2i−2i−2i2i2i−2i000000003-3-33i−i−ii3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-24i−4i−4i4i222-22-2-222-2-2-22210000-11-1-111-1−2i2i2i−2i−2i2i2i−2i00000000-333-3i−i−ii−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1044-4-444-44-4-2-2−4i4i4i−4i222-22-2-222-2-2-22210000-11-1-111-12i−2i−2i2i2i−2i−2i2i000000003-3-33−iii−i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1054-4-444-44-4-2-2−4i4i4i−4i222-22-2-222-2-2-22210000-11-1-111-12i−2i−2i2i2i−2i−2i2i00000000-333-3−iii−i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1064-4-4-444-44440000-44-4-444-4-4-4-44-44440000-4-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-444-20000-4422-2-2-4-42-4424-2-2000022-2-2-222000000000000000000000000000000000000000023−23−2323000000000000000000000000000000
χ1084-4-4-444-444-20000-4422-2-2-4-42-4424-2-2000022-2-2-2220000000000000000000000000000000000000000−232323−23000000000000000000000000000000
χ1094-4-4-444-44-2400002-2-4-44422-42-2-4-24-2000022-2-2-22200000000000000000000000000000000000023−23−23230000000000000000000000000000000000
χ1104-4-4-444-44-2400002-2-4-44422-42-2-4-24-2000022-2-2-222000000000000000000000000000000000000−232323−230000000000000000000000000000000000
χ111888-88-8-8-8-4-40000-44-444-44-4-44-4444200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-8-88-4-40000-4-4-4-444444-4444-420000222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-40000444-4-444-4-4-444-4420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-400004-444-4-44444-44-4-420000-2-2222-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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