Finite Group Databasebeta

← Group #11789673

Character table — Group #11789673

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order1222223344446666661212121236666666888812121212121212121212242424242424242488882424242424242424661212242424242424242424242424444488121212121212121224242424448812121212242424242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ911-1-11-1111-1-11-111-1-1-111-1-1111-1-1-1-1111-1-111-1-1-1-1111-11111-1-1-1-1ii−i−iiiii−i−i−i−i1-11-1111111-1-1-1-1-1-1i−ii−ii−iiiii−i−i−i−iii−i−ii−ii−iii−i−iii−i−i1-11-1
χ1011-1-11-1111-1-11-111-1-1-111-1-1111-1-1-1-1111-1-111-1-1-1-1111-11111-1-1-1-1ii−i−iiiii−i−i−i−i1-11-1111111-1-1-1-1-1-1i−ii−ii−iiiii−i−i−i−iii−i−i−ii−ii−i−iii−i−iii-11-11
χ1111-1-11-1111-1-11-111-1-1-111-1-1111-1-1-1-1111-1-111-1-1-1-1111-11111-1-1-1-1−i−iii−i−i−i−iiiii1-11-1111111-1-1-1-1-1-1−ii−ii−ii−i−i−i−iiiii−i−iiii−ii−iii−i−iii−i−i-11-11
χ1211-1-11-1111-1-11-111-1-1-111-1-1111-1-1-1-1111-1-111-1-1-1-1111-11111-1-1-1-1−i−iii−i−i−i−iiiii1-11-1111111-1-1-1-1-1-1−ii−ii−ii−i−i−i−iiiii−i−iii−ii−ii−i−iii−i−iii1-11-1
χ1311-1-11-1111-1-11-111-1-1-111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-11111ii−i−iiiii−i−i−i−i1-11-1-1-1-1-1-1-1111111−ii−iii−i−i−i−i−iiiiiii−i−ii−i−iiii−i−i−i−iii1-1-11
χ1411-1-11-1111-1-11-111-1-1-111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-11111ii−i−iiiii−i−i−i−i1-11-1-1-1-1-1-1-1111111−ii−iii−i−i−i−i−iiiiiii−i−i−iii−i−i−iiiii−i−i-111-1
χ1511-1-11-1111-1-11-111-1-1-111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-11111−i−iii−i−i−i−iiiii1-11-1-1-1-1-1-1-1111111i−ii−i−iiiiii−i−i−i−i−i−iiii−i−iiii−i−i−i−iii-111-1
χ1611-1-11-1111-1-11-111-1-1-111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-11111−i−iii−i−i−i−iiiii1-11-1-1-1-1-1-1-1111111i−ii−i−iiiiii−i−i−i−i−i−iii−iii−i−i−iiiii−i−i1-1-11
χ1722222222-2-2-2-2222222-2-2-2-2222222222i−2i2i−2i-2-2-2-2-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i00000000000022-2-22i2i2i−2i−2i−2i2i2i2i−2i−2i−2i0000000000000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222−2i2i−2i2i-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000022-2-2−2i−2i−2i2i2i2i−2i−2i−2i2i2i2i0000000000000000000000000000000000
χ192222222-1222222-1-1-12-1-1-1-1-12-12-1-1-1-122222-12-1-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222-1222222-1-1-12-1-1-1-1-12-12-1-1-1-122222-12-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12-1-12-1-12-1-12-1-1-2-2-2-2-2-21111111111110000000000000000
χ212222222-1222222-1-1-12-1-1-1-1-12-12-1-1-1-1-2-2-2-22-12-1-1-12-1-12111111112222-1-1-1-1-1-1-1-1-1-1-1-1-211-211-211-211-2-2-2-22211111111-1-1-1-10000000000000000
χ222222222-1222222-1-1-12-1-1-1-1-12-12-1-1-1-1-2-2-2-22-12-1-1-12-1-1211111111-2-2-2-211111111-1-1-1-1-211-211-211-2112222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ232222222-1-2-2-2-222-1-1-121111-12-12-1-1-1-12i−2i2i−2i-21-2111-211-2−i−iii−i−iii000033−3−333−3−3-1-1112i−i−i−2iii2i−i−i−2iii000000−i3−i3i3i3−i3−i3i3i33−33−30000000000000000
χ242222222-1-2-2-2-222-1-1-121111-12-12-1-1-1-12i−2i2i−2i-21-2111-211-2−i−iii−i−iii0000−3−333−3−333-1-1112i−i−i−2iii2i−i−i−2iii000000i3i3−i3−i3i3i3−i3−i3−33−330000000000000000
χ252222222-1-2-2-2-222-1-1-121111-12-12-1-1-1-1−2i2i−2i2i-21-2111-211-2ii−i−iii−i−i000033−3−333−3−3-1-111−2iii2i−i−i−2iii2i−i−i000000i3i3−i3−i3i3i3−i3−i33−33−30000000000000000
χ262222222-1-2-2-2-222-1-1-121111-12-12-1-1-1-1−2i2i−2i2i-21-2111-211-2ii−i−iii−i−i0000−3−333−3−333-1-111−2iii2i−i−i−2iii2i−i−i000000−i3−i3i3i3−i3−i3i3i3−33−330000000000000000
χ27222222-122222-1-1222-12222-1-12-12-1-1-12222-12-12-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ28222222-122222-1-1222-12222-1-12-12-1-1-12222-12-12-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ29222222-122222-1-1222-12222-1-12-12-1-1-1-2-2-2-2-12-12-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100000000000000000022-2-2-1-1-1-111110000
χ30222222-122222-1-1222-12222-1-12-12-1-1-1-2-2-2-2-12-12-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000000000000000000-2-2221111-1-1-1-10000
χ31222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-12-12-1-1-12i−2i2i−2i1-21-21111112i2i−2i−2i2i2i−2i−2i000000000000-1-111−i−i−iiii−i−i−iiii0000000000000000000000−i3i3−i3i33−33−30000
χ32222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-12-12-1-1-12i−2i2i−2i1-21-21111112i2i−2i−2i2i2i−2i−2i000000000000-1-111−i−i−iiii−i−i−iiii0000000000000000000000i3−i3i3−i3−33−330000
χ33222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-12-12-1-1-1−2i2i−2i2i1-21-2111111−2i−2i2i2i−2i−2i2i2i000000000000-1-111iii−i−i−iiii−i−i−i0000000000000000000000−i3i3−i3i3−33−330000
χ34222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-12-12-1-1-1−2i2i−2i2i1-21-2111111−2i−2i2i2i−2i−2i2i2i000000000000-1-111iii−i−i−iiii−i−i−i0000000000000000000000i3−i3i3−i33−33−30000
χ352222-2-22222-2-222222222222-2-2-2-22220000-2-22-222222-200000000222222222222-2-2-2-20000000000000000-2-200000000-2-2-2-20000000000000000
χ362222-2-22222-2-222222222222-2-2-2-22220000-2-22-222222-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000220000000022220000000000000000
χ372222-2-222-2-222222222-2-2-2-22-2-2-2-2222000022-22-2-2-2-2-2200000000000000000000-2-22200000000000022-2-2002-22-22-22-200000000000000000000
χ382222-2-222-2-222222222-2-2-2-22-2-2-2-2222000022-22-2-2-2-2-2200000000000000000000-2-222000000000000-2-22200-22-22-22-2200000000000000000000
χ392222-2-22-122-2-222-1-1-12-1-1-1-1-1-21-21-1-1-10000-2121-1-12-1-1-2−i3i3−i3i3−i3i3−i3i32222-1-1-1-1-1-1-1-111110−i3i30−i3i30−i3i30−i3i30000-2-2−i3i3i3−i3−i3i3i3−i311110000000000000000
χ402222-2-22-122-2-222-1-1-12-1-1-1-1-1-21-21-1-1-10000-2121-1-12-1-1-2−i3i3−i3i3−i3i3−i3i3-2-2-2-21111111111110−i3i30−i3i30−i3i30−i3i3000022i3−i3−i3i3i3−i3−i3i3-1-1-1-10000000000000000
χ412222-2-22-122-2-222-1-1-12-1-1-1-1-1-21-21-1-1-10000-2121-1-12-1-1-2i3−i3i3−i3i3−i3i3−i32222-1-1-1-1-1-1-1-111110i3−i30i3−i30i3−i30i3−i30000-2-2i3−i3−i3i3i3−i3−i3i311110000000000000000
χ422222-2-22-122-2-222-1-1-12-1-1-1-1-1-21-21-1-1-10000-2121-1-12-1-1-2i3−i3i3−i3i3−i3i3−i3-2-2-2-21111111111110i3−i30i3−i30i3−i30i3−i3000022−i3i3i3−i3−i3i3i3−i3-1-1-1-10000000000000000
χ432222-2-22-1-2-22222-1-1-121111-1-21-21-1-1-100002-1-2-111-21123−3−333−3−33000033−3−333−3−311-1-103−30−3303−30−3322-2-200-11-11-11-11−33−330000000000000000
χ442222-2-22-1-2-22222-1-1-121111-1-21-21-1-1-100002-1-2-111-21123−3−333−3−330000−3−333−3−33311-1-103−30−3303−30−33-2-222001-11-11-11-13−33−30000000000000000
χ452222-2-22-1-2-22222-1-1-121111-1-21-21-1-1-100002-1-2-111-2112−333−3−333−3000033−3−333−3−311-1-10−3303−30−3303−3-2-222001-11-11-11-1−33−330000000000000000
χ462222-2-22-1-2-22222-1-1-121111-1-21-21-1-1-100002-1-2-111-2112−333−3−333−30000−3−333−3−33311-1-10−3303−30−3303−322-2-200-11-11-11-113−33−30000000000000000
χ4722-2-22-222-222-2-222-2-2-2-2-222222-2-2-2-222i−2i−2i2i-2-22222-2-2-222i2i−2i−2i−2i−2i2i2i0000000000002-2-222i2i2i−2i−2i−2i−2i−2i−2i2i2i2i0000000000000000000000000000000000
χ4822-2-22-222-222-2-222-2-2-2-2-222222-2-2-2-22−2i2i2i−2i-2-22222-2-2-22−2i−2i2i2i2i2i−2i−2i0000000000002-2-22−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i0000000000000000000000000000000000
χ4922-2-22-22-12-2-22-22-111-2-1-111-12-1-2111-122-2-22-1-21112-1-1-2-1-1-1-111112i2i−2i−2i−i−i−i−iiiii-11-112-1-12-1-1-211-2112i−2i2i−2i2i−2i−i−i−i−iiiii−i−iii0000000000000000
χ5022-2-22-22-12-2-22-22-111-2-1-111-12-1-2111-122-2-22-1-21112-1-1-2-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i-11-112-1-12-1-1-211-211−2i2i−2i2i−2i2iiiii−i−i−i−iii−i−i0000000000000000
χ5122-2-22-22-12-2-22-22-111-2-1-111-12-1-2111-1-2-2222-1-21112-1-1-21111-1-1-1-12i2i−2i−2i−i−i−i−iiiii-11-11-211-2112-1-12-1-1−2i2i−2i2i2i−2iiiii−i−i−i−i−i−iii0000000000000000
χ5222-2-22-22-12-2-22-22-111-2-1-111-12-1-2111-1-2-2222-1-21112-1-1-21111-1-1-1-1−2i−2i2i2iiiii−i−i−i−i-11-11-211-2112-1-12-1-12i−2i2i−2i−2i2i−i−i−i−iiiiiii−i−i0000000000000000
χ5322-2-22-22-1-222-2-22-111-211-1-1-12-1-2111-12i−2i−2i2i-212-1-1-1-2112−i−iiiii−i−i0000−i3−i3i3i3i3i3−i3−i3-111-12i−i−i−2iii−2iii2i−i−i000000−3−33333−3−3−i3i3i3−i30000000000000000
χ5422-2-22-22-1-222-2-22-111-211-1-1-12-1-2111-12i−2i−2i2i-212-1-1-1-2112−i−iiiii−i−i0000i3i3−i3−i3−i3−i3i3i3-111-12i−i−i−2iii−2iii2i−i−i00000033−3−3−3−333i3−i3−i3i30000000000000000
χ5522-2-22-22-1-222-2-22-111-211-1-1-12-1-2111-1−2i2i2i−2i-212-1-1-1-2112ii−i−i−i−iii0000−i3−i3i3i3i3i3−i3−i3-111-1−2iii2i−i−i2i−i−i−2iii00000033−3−3−3−333−i3i3i3−i30000000000000000
χ5622-2-22-22-1-222-2-22-111-211-1-1-12-1-2111-1−2i2i2i−2i-212-1-1-1-2112ii−i−i−i−iii0000i3i3−i3−i3−i3−i3i3i3-111-1−2iii2i−i−i2i−i−i−2iii000000−3−33333−3−3i3−i3−i3i30000000000000000
χ5722-2-22-2-122-2-221-12-2-2122-2-2-1-121-211-122-2-2-121-211-1-1-112222-2-2-2-2000000000000-11-11-1-1-1-1-1-11111110000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ5822-2-22-2-122-2-221-12-2-2122-2-2-1-121-211-122-2-2-121-211-1-1-112222-2-2-2-2000000000000-11-11-1-1-1-1-1-1111111000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ5922-2-22-2-122-2-221-12-2-2122-2-2-1-121-211-1-2-222-121-211-1-1-11-2-2-2-22222000000000000-11-11111111-1-1-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ6022-2-22-2-122-2-221-12-2-2122-2-2-1-121-211-1-2-222-121-211-1-1-11-2-2-2-22222000000000000-11-11111111-1-1-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ6122-2-22-2-12-222-21-12-2-21-2-222-1-121-211-12i−2i−2i2i1-2-12-1-1111-12i2i−2i−2i−2i−2i2i2i000000000000-111-1−i−i−iiiiiii−i−i−i00000000000000000000003−3−33i3−i3−i3i30000
χ6222-2-22-2-12-222-21-12-2-21-2-222-1-121-211-12i−2i−2i2i1-2-12-1-1111-12i2i−2i−2i−2i−2i2i2i000000000000-111-1−i−i−iiiiiii−i−i−i0000000000000000000000−333−3−i3i3i3−i30000
χ6322-2-22-2-12-222-21-12-2-21-2-222-1-121-211-1−2i2i2i−2i1-2-12-1-1111-1−2i−2i2i2i2i2i−2i−2i000000000000-111-1iii−i−i−i−i−i−iiii00000000000000000000003−3−33−i3i3i3−i30000
χ6422-2-22-2-12-222-21-12-2-21-2-222-1-121-211-1−2i2i2i−2i1-2-12-1-1111-1−2i−2i2i2i2i2i−2i−2i000000000000-111-1iii−i−i−i−i−i−iiii0000000000000000000000−333−3i3−i3−i3i30000
χ6522-2-2-22222-22-2-222-2-2-222-2-22-2-222-2-220000-2-2-22-2-22222000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-22-220000000000000000−2i2i00000000−2i−2i2i2i0000000000000000
χ6622-2-2-22222-22-2-222-2-2-222-2-22-2-222-2-220000-2-2-22-2-2222200000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-22-2200000000000000002i−2i000000002i2i−2i−2i0000000000000000
χ6722-2-2-2222-22-22-222-2-2-2-2-2222-2-222-2-220000222-222-2-2-2-200000000000000000000-222-20000000000002i−2i−2i2i002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ6822-2-2-2222-22-22-222-2-2-2-2-2222-2-222-2-220000222-222-2-2-2-200000000000000000000-222-2000000000000−2i2i2i−2i00−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ6922-2-2-222-12-22-2-22-111-2-1-111-1-212-111-10000-21-2-1112-1-12−i3i3−i3i3i3−i3i3−i32i2i−2i−2i−i−i−i−iiiii1-11-10−i3i30−i3i30i3−i30i3−i30000−2i2i3−3−33−333−3ii−i−i0000000000000000
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χ1138-8-8800-4-400004444-4-443−43−434320000-22-20000000023−230−232300000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.