Finite Group Databasebeta

← Group #11779314

Character table — Group #11779314

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242436364848484848727272
order122233444466666612121212346668888121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424222246688121224242424224661212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-111-1-11-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-1-11-1-111-111
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-111-1-1-111
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1111-1-1
χ92222222-22-222222222222-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000002200000-200
χ102222222-22-222222222222-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000-2-200000200
χ11222222-22-22222222-2-2-2-22-22220000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000002200-22200-2-200000000000000
χ12222222-22-22222222-2-2-2-22-22220000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2002-2-2002200000000000000
χ13222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000002-2000000000000002-200000
χ14222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000-2200000000000000-2200000
χ1522222-1222222-1-12-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000002-1-1-1-1000
χ1622222-1222222-1-12-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000000000000-21111000
χ1722222-1222222-1-12-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100220000000000000-2-1-111000
χ1822222-1222222-1-12-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100-2-20000000000000211-1-1000
χ1922222-1-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1000011-2-2111111111122-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3002-200000000000000-11−i3i3000
χ2022222-1-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1000011-2-2111111111122-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i300-22000000000000001-1i3−i3000
χ2122222-1-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1000011-2-2111111111122-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3002-200000000000000-11i3−i3000
χ2222222-1-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1000011-2-2111111111122-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i300-22000000000000001-1−i3i3000
χ232222-122222-1-122-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002-1-122-1-1-1-1-1-10000000000
χ242222-122222-1-122-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-211-2-21111110000000000
χ252222-122222-1-122-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-21111111122002-1-1-2-2-1-111110000000000
χ262222-122222-1-122-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111-2-200-2112211-1-1-1-10000000000
χ272222-12-22-22-1-122-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-111-2-211113333−3−3−3−300003333−3−3−3−300003333−3−3−3−32200-2-1-1001133−3−30000000000
χ282222-12-22-22-1-122-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-111-2-211113333−3−3−3−300003333−3−3−3−300003333−3−3−3−3-2-20021100-1-1−3−3330000000000
χ292222-12-22-22-1-122-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-111-2-21111−3−3−3−333330000−3−3−3−333330000−3−3−3−333332200-2-1-10011−3−3330000000000
χ302222-12-22-22-1-122-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-111-2-21111−3−3−3−333330000−3−3−3−333330000−3−3−3−33333-2-20021100-1-133−3−30000000000
χ3122-2-22220-20-2-22-22-222-2-2202-2-2−i2−i2i2i22-2000022-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000002-2000000−i2i2
χ3222-2-22220-20-2-22-22-222-2-2202-2-2−i2−i2i2i22-2000022-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000-22000000i2−i2
χ3322-2-22220-20-2-22-22-222-2-2202-2-2i2i2−i2−i22-2000022-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000002-2000000i2−i2
χ3422-2-22220-20-2-22-22-222-2-2202-2-2i2i2−i2−i22-2000022-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000-22000000−i2i2
χ352-2-2222020-22-2-22-2-2000020-22-2−i2i2−i2i2002-22-2000022-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-20002-2−i2i200−i2i2−i2i20000000000
χ362-2-2222020-22-2-22-2-2000020-22-2−i2i2−i2i2002-22-2000022-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22000-22i2−i200i2−i2i2−i20000000000
χ372-2-2222020-22-2-22-2-2000020-22-2i2−i2i2−i2002-22-2000022-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-20002-2i2−i200i2−i2i2−i20000000000
χ382-2-2222020-22-2-22-2-2000020-22-2i2−i2i2−i2002-22-2000022-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22000-22−i2i200−i2i2−i2i20000000000
χ392-2-22-12020-2-11-221-23−33−3-101-11−i2i2−i2i200-112-23−33−3-1-1113−30033−3−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232-2000-11−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ402-2-22-12020-2-11-221-23−33−3-101-11−i2i2−i2i200-112-23−33−3-1-1113−30033−3−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-220001-1i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ412-2-22-12020-2-11-221-23−33−3-101-11i2−i2i2−i200-112-23−33−3-1-1113−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232-2000-11i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ422-2-22-12020-2-11-221-23−33−3-101-11i2−i2i2−i200-112-23−33−3-1-1113−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-220001-1−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ432-2-22-12020-2-11-221-2−33−33-101-11−i2i2−i2i200-112-2−33−33-1-111−3300−3−333ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72-2000-11−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ442-2-22-12020-2-11-221-2−33−33-101-11−i2i2−i2i200-112-2−33−33-1-111−3300−3−333ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-220001-1i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ452-2-22-12020-2-11-221-2−33−33-101-11i2−i2i2−i200-112-2−33−33-1-111−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72-2000-11i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ462-2-22-12020-2-11-221-2−33−33-101-11i2−i2i2−i200-112-2−33−33-1-111−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-220001-1−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ4744444-24-44-444-2-24-24444-2-4-2-2-20000-2-2-4-422-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000
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χ494444-244-44-4-2-244-24-2-2-2-2-2-4-2-2-200004422-4-4-2-2-2-2222222-4-42222000000000000000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-242222-24-2-2-20000-4-422-4-422222222-2-244-2-2-2-2000000000000000000000000000000000000000000000000000000000
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χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211111111-2-2-2-21111222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-41110000-2-222221111-1-1-1-12222-1-1-1-10000000000003i3i3i3i−3i−3i−3i−3i0000−3i−3i−3i−3i3i3i3i3i0000000000000000000000000
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χ554444-2-2-44-44-2-2-2-2-2-222221-4111000022-2-2-2-2-1-1-1-111112222-1-1-1-123232323−23−23−23−230000−3−3−3−333330000−3−3−3−333330000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-4111000022-2-2-2-2-1-1-1-111112222-1-1-1-1−23−23−23−232323232300003333−3−3−3−300003333−3−3−3−30000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141110000222222-1-1-1-1-1-1-1-1-2-2-2-2111100000000−2i3−2i3−2i3−2i3i3i3i3i3i3i3i3i32i32i32i32i3−i3−i3−i3−i3−i3−i3−i3−i30000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141110000222222-1-1-1-1-1-1-1-1-2-2-2-21111000000002i32i32i32i3−i3−i3−i3−i3−i3−i3−i3−i3−2i3−2i3−2i3−2i3i3i3i3i3i3i3i3i30000000000000000000000000
χ5944-4-444-4040-4-44-44-4-4-444404-4-40000-440000-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ6044-4-44-240-40-4-4-224244-4-4-20-222−2i2−2i22i22i2-220000-2-222000000000000−2i2−2i22i22i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000000
χ6144-4-44-240-40-4-4-224244-4-4-20-2222i22i2−2i2−2i2-220000-2-2220000000000002i22i2−2i2−2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000000
χ6244-4-44-2-4040-4-4-2242-4-444-20-22200002-2000022-2-20000000000000000000066−6−666−6−666−6−6−6−666−6−666−6−6660000000000000000000000000
χ6344-4-44-2-4040-4-4-2242-4-444-20-22200002-2000022-2-200000000000000000000−6−666−6−666−6−66666−6−666−6−666−6−60000000000000000000000000
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χ1074-4-44-2-20-404-222-222−2323−232310-11-10000002-22-23−33−3-1-11123−2300−3−333000000006−66−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−66−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000000
χ1084-4-44-2-20-404-222-222−2323−232310-11-10000002-22-23−33−3-1-11123−2300−3−33300000000−66−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ236−66−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.