Finite Group Databasebeta

← Group #11870368

Character table — Group #11870368

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222223344446666666666121212123666666666888812121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424224444444466881212121212121212121224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1
χ91111-1-111-1-111-1-1-1-111111111111-1-111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-11-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-111-1-111-1-1-1-111111111111-1-111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-111-11-11-1-1-111-1-11111-1-1-1-111-11
χ111111-1-111-1-111-1-1-1-111111111111-1-111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11-1-11-11-1111-1-111-1-1-1-111-1-111-11
χ121111-1-111-1-111-1-1-1-111111111111-1-111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-11-11-11-1-111-1-111-1-11111-1-11-1
χ131111-1-111-1-111-1-1-1-111111111111-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-1-111-1-111-111-1-1-1-111-1-11111-1-1-11
χ141111-1-111-1-111-1-1-1-111111111111-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1111-11-1-111-1-1-11111-1-1-1-111-1-1111-1
χ151111-1-111-1-111-1-1-1-111111111111-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1111-1-1-11-111-1-1111-1-1-1-11111-1-1-1-1111-1
χ161111-1-111-1-111-1-1-1-111111111111-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1111-1-111-1-11-1-11111-1-111-1-111-1-1-11
χ1722222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002-2-220000002-200-22000000000000000000
χ1822222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-222-2000000-22002-2000000000000000000
χ192222222-122222222-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000-1-122-1-100000000-1-1-1-1000000
χ202222222-122222222-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000011-2-211000000001111000000
χ212222222-122222222-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-2111111112222000000-1-1-2-2-1-1000000001111000000
χ222222222-122222222-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-200000011221100000000-1-1-1-1000000
χ232222222-1-2-2-2-22222-1-12-1221111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−32-2-22000000-11001-1000000003−33−3000000
χ242222222-1-2-2-2-22222-1-12-1221111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-222-20000001-100-1100000000−33−33000000
χ252222222-1-2-2-2-22222-1-12-1221111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−333332-2-22000000-11001-100000000−33−33000000
χ262222222-1-2-2-2-22222-1-12-1221111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-222-20000001-100-11000000003−33−3000000
χ27222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222000000-1-1-1-1-1-1-1-10000000000
χ28222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000111111110000000000
χ29222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100002222-2-2000000-1-1-1-111110000000000
χ30222222-122222-1-1-1-122-12-1-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000-2-2-2-2220000001111-1-1-1-10000000000
χ312222-2-22222-2-2-2-2-2-2222222-2-2-2-22-2-222-2-2-2-220000-22222-2-22222-2-2-20000000000000000000000000000000022-2-20000002200-2-2000000000000000000
χ322222-2-22222-2-2-2-2-2-2222222-2-2-2-22-2-222-2-2-2-220000-22222-2-22222-2-2-200000000000000000000000000000000-2-222000000-2-20022000000000000000000
χ332222-2-22-122-2-2-2-2-2-2-1-12-1221111-111-1-11111-10000-222-1-111-1-1-1-1-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−3333322-2-2000000-1-10011000000003−3−33000000
χ342222-2-22-122-2-2-2-2-2-2-1-12-1221111-111-1-11111-10000-222-1-111-1-1-1-1-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−33333-2-2220000001100-1-100000000−333−3000000
χ352222-2-22-122-2-2-2-2-2-2-1-12-1221111-111-1-11111-10000-222-1-111-1-1-1-1-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−322-2-2000000-1-1001100000000−333−3000000
χ362222-2-22-122-2-2-2-2-2-2-1-12-1221111-111-1-11111-10000-222-1-111-1-1-1-1-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3-2-2220000001100-1-1000000003−3−33000000
χ372222-2-22-1-2-222-2-2-2-2-1-12-122-1-1-1-1-111-1-11111-122-2-22-2-211-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111112-22-2000000-112-2-1100000000-1-111000000
χ382222-2-22-1-2-222-2-2-2-2-1-12-122-1-1-1-1-111-1-11111-122-2-22-2-211-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-22-220000001-1-221-10000000011-1-1000000
χ392222-2-22-1-2-222-2-2-2-2-1-12-122-1-1-1-1-111-1-11111-1-2-2222-2-211-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-12-22-2000000-11-22-110000000011-1-1000000
χ402222-2-22-1-2-222-2-2-2-2-1-12-122-1-1-1-1-111-1-11111-1-2-2222-2-211-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-22-220000001-12-21-100000000-1-111000000
χ412222-2-2-12-2-222111122-12-1-12222-1-2-2-1-11111-122-2-2-111-2-2-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000022-2-22-2000000-1-111-1-1110000000000
χ422222-2-2-12-2-222111122-12-1-12222-1-2-2-1-11111-122-2-2-111-2-2-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000-2-222-2200000011-1-111-1-10000000000
χ432222-2-2-12-2-222111122-12-1-12222-1-2-2-1-11111-1-2-222-111-2-2-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-1000022-2-2-22000000-1-11111-1-10000000000
χ442222-2-2-12-2-222111122-12-1-12222-1-2-2-1-11111-1-2-222-111-2-2-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000-2-2222-200000011-1-1-1-1110000000000
χ4522-2-22-2222-22-222-2-2-2-222-2-222-2-222-2-2-222-2-220000-22-22-2-2-222-2-22220000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ4622-2-22-2222-22-222-2-2-2-222-2-222-2-222-2-2-222-2-220000-22-22-2-2-222-2-2222000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ4722-2-22-222-22-2222-2-2-2-222-2-2-2-22222-2-2-222-2-2200002-22-2222-2-222-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ4822-2-22-222-22-2222-2-2-2-222-2-2-2-22222-2-2-222-2-2200002-22-2222-2-222-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ4922-2-22-2-122-22-2-1-111-2-2-121122-2-2-12-211-1-111-100001-112-211-1-111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i00000000−ii−ii3−33−30000000000
χ5022-2-22-2-122-22-2-1-111-2-2-121122-2-2-12-211-1-111-100001-112-211-1-111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i00000000i−ii−i−33−330000000000
χ5122-2-22-2-122-22-2-1-111-2-2-121122-2-2-12-211-1-111-100001-112-211-1-111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i00000000−ii−ii−33−330000000000
χ5222-2-22-2-122-22-2-1-111-2-2-121122-2-2-12-211-1-111-100001-112-211-1-111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i00000000i−ii−i3−33−30000000000
χ5322-2-2-22222-2-22-2-222-2-222-2-2-2-2222-22-2-2-2-2222000022-22-22222-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-22222-2-22-2-222-2-222-2-2-2-2222-22-2-2-2-2222000022-22-22222-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2222-222-2-2-222-2-222-2-222-2-22-22-2-2-2-22220000-2-22-22-2-2-2-2222220000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ5622-2-2-2222-222-2-2-222-2-222-2-222-2-22-22-2-2-2-22220000-2-22-22-2-2-2-222222000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ5722-2-2-22-12-222-211-1-1-2-2-121122-2-2-1-221111-1-1-1000011-1-221111-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002i−2i−2i2i00000000−iii−i3−3−330000000000
χ5822-2-2-22-12-222-211-1-1-2-2-121122-2-2-1-221111-1-1-1000011-1-221111-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−2i2i2i−2i00000000i−i−ii−333−30000000000
χ5922-2-2-22-12-222-211-1-1-2-2-121122-2-2-1-221111-1-1-1000011-1-221111-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002i−2i−2i2i00000000−iii−i−333−30000000000
χ6022-2-2-22-12-222-211-1-1-2-2-121122-2-2-1-221111-1-1-1000011-1-221111-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−2i2i2i−2i00000000i−i−ii3−3−330000000000
χ61444444-24-4-4-4-4-2-2-2-244-24-2-2-4-4-4-4-244-2-2-2-2-2-2-20000222-4-4222222222000000000000000000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-211111114444-2-2-2-2-2111111-211-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2111111110000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111-4-4-4-4-2-2-2-2-2111111-211222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-12323−23−232323−23−230000−3−3−3−333330000−3−3−3−333330000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-1−23−232323−23−23232300003333−3−3−3−300003333−3−3−3−30000000000000000000000000000000000
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χ674444-4-4-2-244-4-42222-2-2-2-2-2-2222212211-1-1-1-1100002-2-2-2-2-1-111112-1-12323−23−23−23−2323230000−3−3−3−3333300003333−3−3−3−30000000000000000000000000000000000
χ684444-4-4-2-244-4-42222-2-2-2-2-2-2222212211-1-1-1-1100002-2-2-2-2-1-111112-1-1−23−2323232323−23−2300003333−3−3−3−30000−3−3−3−333330000000000000000000000000000000000
χ694444-4-4-2-2-4-4442222-2-2-2-2-2-2-2-2-2-212211-1-1-1-1144-4-4-2222211-1-1-1-1-211-2-2-2-22222-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ704444-4-4-2-2-4-4442222-2-2-2-2-2-2-2-2-2-212211-1-1-1-11-4-444-2222211-1-1-1-1-2112222-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000000000000000000
χ7144-4-44-44-24-44-444-4-4224-2-4-4-2-222-2-2222-2-222-20000-44-4-2222-2-2224-2-2000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.