Finite Group Databasebeta

← Group #11782394

Character table — Group #11782394

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444424242424242424242424242448484848484872727272
order1222334444666666121212123466688881212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424244488121212122424242444121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ922222222-2-222222222222-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ1022222222-2-222222222222-2222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000
χ11222222-2-222222222-2-2-2-22-222200002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002-20022-2-200000000000000
χ12222222-2-222222222-2-2-2-22-222200002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2200-2-22200000000000000
χ13222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000002i−2i00002i2i−2i−2i0000000000
χ14222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-22222-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000000000−2i2i0000−2i−2i2i2i0000000000
χ1522222-122222-122-1-12222-12-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ1622222-122222-122-1-12222-12-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ1722222-122222-122-1-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000000000002-2-1-1110000
χ1822222-122222-122-1-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000000000-2211-1-10000
χ1922222-122-2-22-122-1-12222-1-2-1-1-122-2-211-2-2-2-21111111111-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000−i3i3−i3i30000
χ2022222-122-2-22-122-1-12222-1-2-1-1-122-2-211-2-2-2-21111111111-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000i3−i3i3−i30000
χ2122222-122-2-22-122-1-12222-1-2-1-1-1-2-22211-2-2-2-21111111111-1-1-1-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000−i3i3i3−i30000
χ2222222-122-2-22-122-1-12222-1-2-1-1-1-2-22211-2-2-2-21111111111-1-1-1-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000i3−i3−i3i30000
χ232222-122222-12-1-122-1-1-1-1-12-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ242222-122222-12-1-122-1-1-1-1-12-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ252222-122222-12-1-122-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-21111111122-2-2-1-1-1-111110000000000
χ262222-122222-12-1-122-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2221111-1-1-1-10000000000
χ272222-1222-2-2-12-1-122-1-1-1-1-1-2-1-1-122-2-2-2-21111-2-21111111122-1-1-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000−i3i3−i3i3−i3i3−i3i30000000000
χ282222-1222-2-2-12-1-122-1-1-1-1-1-2-1-1-122-2-2-2-21111-2-21111111122-1-1-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000i3−i3i3−i3i3−i3i3−i30000000000
χ292222-1222-2-2-12-1-122-1-1-1-1-1-2-1-1-1-2-222-2-21111-2-21111111122-1-1-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000
χ302222-1222-2-2-12-1-122-1-1-1-1-1-2-1-1-1-2-222-2-21111-2-21111111122-1-1-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000
χ312222-12-2-222-12-1-1221111-1-2-1-1-1000022-1-111-2-2-1-1-1-11111-2-2111133−3−333−3−300003333−3−3−3−300003333−3−3−3−32-200-1-1113−3−330000000000
χ322222-12-2-222-12-1-1221111-1-2-1-1-1000022-1-111-2-2-1-1-1-11111-2-2111133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-220011-1-1−333−30000000000
χ332222-12-2-222-12-1-1221111-1-2-1-1-1000022-1-111-2-2-1-1-1-11111-2-21111−3−333−3−3330000−3−3−3−333330000−3−3−3−333332-200-1-111−333−30000000000
χ342222-12-2-222-12-1-1221111-1-2-1-1-1000022-1-111-2-2-1-1-1-11111-2-21111−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-220011-1-13−3−330000000000
χ352222-12-2-2-2-2-12-1-1221111-12-1-1-10000-2-211-1-1221111-1-1-1-1-2-2111133−3−3−3−33300003333−3−3−3−30000−3−3−3−33333002i−2i−i3i3i3−i3−i−iii0000000000
χ362222-12-2-2-2-2-12-1-1221111-12-1-1-10000-2-211-1-1221111-1-1-1-1-2-2111133−3−3−3−33300003333−3−3−3−30000−3−3−3−3333300−2i2ii3−i3−i3i3ii−i−i0000000000
χ372222-12-2-2-2-2-12-1-1221111-12-1-1-10000-2-211-1-1221111-1-1-1-1-2-21111−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3002i−2ii3−i3−i3i3−i−iii0000000000
χ382222-12-2-2-2-2-12-1-1221111-12-1-1-10000-2-211-1-1221111-1-1-1-1-2-21111−3−33333−3−30000−3−3−3−3333300003333−3−3−3−300−2i2i−i3i3i3−i3ii−i−i0000000000
χ392-22-222-22002-2-2-22-2-2-222202-2-22i−2i0000000000000000002-222-2-22i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000−i2i22−2
χ402-22-222-22002-2-2-22-2-2-222202-2-22i−2i0000000000000000002-222-2-22i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000i2−i2−22
χ412-22-222-22002-2-2-22-2-2-222202-2-2−2i2i0000000000000000002-222-2-2−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−i2i2−22
χ422-22-222-22002-2-2-22-2-2-222202-2-2−2i2i0000000000000000002-222-2-2−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000i2−i22−2
χ4344444-2-4-4444-244-2-2-4-4-4-4-2-4-2-2-20000-2-244-4-422-2-2-2-22222222222000000000000000000000000000000000000000000000000000000
χ4444444-2-4-4-4-44-244-2-2-4-4-4-4-24-2-2-2000022-4-444-2-22222-2-2-2-2222222000000000000000000000000000000000000000000000000000000
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χ464444-2-24444-2-2-2-2-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-2-2-211111111-2-21111222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000
χ474444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-411144-4-422222222-1-1-1-1-1-1-1-1-2-21111-2-2-2-22222-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000000000
χ484444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-4111-4-44422222222-1-1-1-1-1-1-1-1-2-211112222-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000000
χ494444-2-2-4-444-2-2-2-2-2-222221-41110000-2-2-2-222221111-1-1-1-122-1-1-1-12323−23−232323−23−230000−3−3−3−333330000−3−3−3−333330000000000000000000000
χ504444-2-2-4-444-2-2-2-2-2-222221-41110000-2-2-2-222221111-1-1-1-122-1-1-1-1−23−232323−23−23232300003333−3−3−3−300003333−3−3−3−30000000000000000000000
χ514444-2-2-4-4-4-4-2-2-2-2-2-222221411100002222-2-2-2-2-1-1-1-1111122-1-1-1-12323−23−23−23−2323230000−3−3−3−3333300003333−3−3−3−30000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-222221411100002222-2-2-2-2-1-1-1-1111122-1-1-1-1−23−2323232323−23−2300003333−3−3−3−30000−3−3−3−333330000000000000000000000
χ5344-4-444004-4-444-4-4-4000040-44-400004-44-4000044-4-40000000000000000000000000000000000000000000000000000000000000000
χ5444-4-44400-44-444-4-4-4000040-44-40000-44-440000-4-4440000000000000000000000000000000000000000000000000000000000000000
χ5544-4-44-2004-4-4-24-4220000-202-220000-224-40000-2-222000000000000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i60000000000000000000000
χ5644-4-44-2004-4-4-24-4220000-202-220000-224-40000-2-222000000000000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i60000000000000000000000
χ5744-4-44-200-44-4-24-4220000-202-2200002-2-44000022-2-2000000000000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i60000000000000000000000
χ5844-4-44-200-44-4-24-4220000-202-2200002-2-44000022-2-2000000000000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i60000000000000000000000
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χ6344-4-4-2-2004-42-2-222223−2323−2310-11-10000-22-2223−230011-1-1−3−33300−33−3300000000i6−i6i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23i6i6−i6−i6−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000
χ6444-4-4-2-2004-42-2-222223−2323−2310-11-10000-22-2223−230011-1-1−3−33300−33−3300000000−i6i6−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−i6−i6i6i62ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000
χ6544-4-4-2-2004-42-2-2222−2323−232310-11-10000-22-22−23230011-1-133−3−3003−33−300000000i6−i6i6−i6ζ5+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+ζ23i6i6−i6−i6ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000
χ6644-4-4-2-2004-42-2-2222−2323−232310-11-10000-22-22−23230011-1-133−3−3003−33−300000000−i6i6−i6i6−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−ζ23−i6−i6i6i6−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000
χ6744-4-4-2-200-442-2-222223−2323−2310-11-100002-22-2−232300-1-11133−3−300−33−3300000000i6−i6i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−i6−i6i6i62ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.