Finite Group Databasebeta

← Group #11781028

Character table — Group #11781028

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444442424242424242424242424243636363636363636484848484848
order1222334444666666888812121212346668812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242488882424242424242424224488884412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-1
χ61111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111
χ71111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111
χ81111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-1
χ92222222-2-222222222222-2-2-2-22-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ102222222-2-22222222-2-2-2-2-2-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000
χ11222222-222-2222222000022222-222200-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-20000000000
χ12222222-222-2222222000022222-222200-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2220000000000
χ13222222-2-2-2-22222220000-2-2-2-2222220022-2-222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-22222220000-2-2-2-2222220022-2-222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i000000
χ1522222-12222222-1-1-122222222-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-1
χ1622222-12222222-1-1-122222222-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-21111
χ1722222-12222222-1-1-1-2-2-2-22222-12-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000002-2-1-111
χ1822222-12222222-1-1-1-2-2-2-22222-12-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000-2211-1-1
χ1922222-12-2-22222-1-1-12222-2-2-2-2-1-2-1-1-1-2-2-2-211111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000000−i3i3−i3i3
χ2022222-12-2-22222-1-1-12222-2-2-2-2-1-2-1-1-1-2-2-2-211111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000000i3−i3i3−i3
χ2122222-12-2-22222-1-1-1-2-2-2-2-2-2-2-2-1-2-1-1-122-2-211111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3
χ2222222-12-2-22222-1-1-1-2-2-2-2-2-2-2-2-1-2-1-1-122-2-211111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3
χ232222-122222-1-1-12222222-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ242222-122222-1-1-12222222-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ252222-122222-1-1-1222-2-2-2-2-1-1-1-1-12-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-1-1-1111100000000000000
χ262222-122222-1-1-1222-2-2-2-2-1-1-1-1-12-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2221111-1-1-1-100000000000000
χ272222-122-2-22-1-1-122222221111-1-2-1-1-1-2-211-2-2-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000033−3−333−3−300000000000000
χ282222-122-2-22-1-1-122222221111-1-2-1-1-1-2-211-2-2-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−3−333−3−33300000000000000
χ292222-122-2-22-1-1-1222-2-2-2-21111-1-2-1-1-12211-2-2-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000033−3−3−3−33300000000000000
χ302222-122-2-22-1-1-1222-2-2-2-21111-1-2-1-1-12211-2-2-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−3−33333−3−300000000000000
χ3122-2-22202-202-2-2-22-2−i2−i2i2i222-2-2202-2-2−i2i2002-20022-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000002i−2i2−22−2000000
χ3222-2-22202-202-2-2-22-2−i2−i2i2i222-2-2202-2-2−i2i2002-20022-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000−2i2i−22−22000000
χ3322-2-22202-202-2-2-22-2i2i2−i2−i222-2-2202-2-2i2−i2002-20022-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000002i−2i−22−22000000
χ3422-2-22202-202-2-2-22-2i2i2−i2−i222-2-2202-2-2i2−i2002-20022-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000−2i2i2−22−2000000
χ3522-2-2220-2202-2-2-22-2−i2−i2i2i2-2-222202-2-2i2−i200-2200-2-222000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000002-200−i2i2i2−i2000000
χ3622-2-2220-2202-2-2-22-2−i2−i2i2i2-2-222202-2-2i2−i200-2200-2-222000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000-2200i2−i2−i2i2000000
χ3722-2-2220-2202-2-2-22-2i2i2−i2−i2-2-222202-2-2−i2i200-2200-2-222000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000000000002-200i2−i2−i2i2000000
χ3822-2-2220-2202-2-2-22-2i2i2−i2−i2-2-222202-2-2−i2i200-2200-2-222000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000-2200−i2i2i2−i2000000
χ392-2-2222-2002-22-22-2-22-22-2000020-22-200000000000000002-22-222-2-22-22-22-22-222-2-222-2-20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000
χ402-2-2222-2002-22-22-2-22-22-2000020-22-200000000000000002-22-222-2-22-22-22-22-222-2-222-2-20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000
χ412-2-2222-2002-22-22-2-2-22-22000020-22-200000000000000002-22-222-2-2-22-22-22-22-2-222-2-2220000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000
χ422-2-2222-2002-22-22-2-2-22-22000020-22-200000000000000002-22-222-2-2-22-22-22-22-2-222-2-2220000000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000
χ432-2-22-12-20021-112-2-22-22-23−33−3-101-11003−300003−33−333−3−3-112-2-1-111-11-112-22-2-1-111-1-1113−33−3000033−3−333−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ442-2-22-12-20021-112-2-22-22-23−33−3-101-11003−300003−33−333−3−3-112-2-1-111-11-112-22-2-1-111-1-1113−33−3000033−3−333−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ452-2-22-12-20021-112-2-22-22-2−33−33-101-1100−330000−33−33−3−333-112-2-1-111-11-112-22-2-1-111-1-111−33−330000−3−333−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ462-2-22-12-20021-112-2-22-22-2−33−33-101-1100−330000−33−33−3−333-112-2-1-111-11-112-22-2-1-111-1-111−33−330000−3−333−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ472-2-22-12-20021-112-2-2-22-223−33−3-101-11003−300003−33−333−3−3-112-2-1-1111-11-1-22-2211-1-111-1-1−33−330000−3−333−3−333−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ482-2-22-12-20021-112-2-2-22-223−33−3-101-11003−300003−33−333−3−3-112-2-1-1111-11-1-22-2211-1-111-1-1−33−330000−3−333−3−333i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ492-2-22-12-20021-112-2-2-22-22−33−33-101-1100−330000−33−33−3−333-112-2-1-1111-11-1-22-2211-1-111-1-13−33−3000033−3−333−3−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ502-2-22-12-20021-112-2-2-22-22−33−33-101-1100−330000−33−33−3−333-112-2-1-1111-11-1-22-2211-1-111-1-13−33−3000033−3−333−3−3i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ5144444-2-444-4444-2-2-200004444-2-4-2-2-200-4-4-2-222-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000
χ5244444-2-4-4-4-4444-2-2-20000-4-4-4-4-24-2-2-2004422-2-22222-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000
χ534444-24-444-4-2-2-24440000-2-2-2-2-2-4-2-2-2002244-4-4-2-2-2-2222222-4-422220000000000000000000000000000000000000000000000000000000000
χ544444-24-4-4-4-4-2-2-244400002222-24-2-2-200-2-2-4-4442222-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-24444-2-2-2-21411144-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ564444-2-24444-2-2-2-2-2-2-4-4-4-4-2-2-2-214111-4-4-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-2444422221-4111-4-4222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-2-4-4-4-422221-411144222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-20000-2-2-2-21-41110022-2-2221111-1-1-1-12222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
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χ624444-2-2-4-4-4-4-2-2-2-2-2-2000022221411100-2-222-2-2-1-1-1-111112222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ6344-4-44-204-404-4-42-22−2i2−2i22i22i244-4-4-20-222−2i22i200-2200-2-222000000000000−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ6444-4-44-204-404-4-42-222i22i2−2i2−2i244-4-4-20-2222i2−2i200-2200-2-2220000000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ6544-4-44-20-4404-4-42-22−2i2−2i22i22i2-4-444-20-2222i2−2i2002-20022-2-2000000000000−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ6644-4-44-20-4404-4-42-222i22i2−2i2−2i2-4-444-20-222−2i22i2002-20022-2-20000000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ6744-4-4-2404-40-222-44-4−2i2−2i22i22i2-2-222-20-222−2i22i2004-400-2-222000000000000i2i2−i2−i2−2i2−2i22i22i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ6844-4-4-2404-40-222-44-42i22i2−2i2−2i2-2-222-20-2222i2−2i2004-400-2-222000000000000−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.